TWI817483B - Optical lens assembly and optical module - Google Patents

Abstract

An optical lens assembly where an optical axis passes includes a glass lens element. The glass lens element has refractive power. An optical surface of the glass lens element is aspheric and an anti-reflecting membrane is formed on the optical surface. The anti-reflecting membrane includes a nanostructure layer and a structure connection film. The nanostructure layer has a plurality of ridge-like protrusions which extend non-directionally from the optical surface. The structure connection film is disposed between the nanostructure layer and the optical surface and includes at least one silicon dioxide membrane. The silicon dioxide membrane contacts a bottom of the nanostructure layer, and a thickness of the silicon dioxide membrane is more or equal to 20 nm and less or equal to 150 nm. Via the configuration of the glass lens element, the optical lens assembly can maintain the imaging quality during the impact of extreme heat or coldness.

Description

Optical lens sets and optical modules

The present disclosure relates to an optical lens set and an optical module, and in particular, to an optical lens set and an optical module having an anti-reflective coating layer.

In recent years, optical modules have developed rapidly and have become a part of modern people's lives. They are widely used in various fields, such as portable electronic devices, head-mounted devices, vehicle tools, etc., and optical modules have also followed suit. Thrive. However, as technology advances more and more, users have higher and higher quality requirements for optical modules, among which anti-reflective coating is one of the main factors affecting imaging quality. However, the thermal expansion coefficient difference between the conventional anti-reflective coating layer and the substrate is too large, causing the interface between the two to undergo relative displacement due to temperature changes, which can easily cause the coating layer to fall off or be damaged, thereby affecting the imaging quality. In view of this, an optical module that can resist temperature changes and maintain imaging quality is still the goal of relevant industry players.

The optical lens set and optical module provided in this disclosure can reduce the temperature change between the anti-reflective film layer and the glass lens interface by configuring a glass lens with a low expansion coefficient and setting an anti-reflective film layer on the glass lens. The final relative displacement avoids problems such as film thickness changes, film peeling or film cracks, so that the optical lens assembly maintains imaging quality under hot and cold shocks.

According to an embodiment of the present disclosure, an optical lens assembly is provided. An optical axis passes through the optical lens assembly, and the optical lens assembly includes a glass lens. The glass lens has refractive power. An optical surface of the glass lens is non-planar. An anti-reflective film layer is formed on the optical surface. The anti-reflective film layer includes a nanostructure layer and a structural connection layer. The nanostructure layer has a plurality of ridge-shaped protrusions extending non-directionally from the optical surface, and the material of the nanostructure layer includes aluminum oxide. The structural connection layer is disposed between the optical surface and the nanostructure layer. The structural connection layer includes at least one silicon dioxide film layer. The silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and the silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer. The thickness is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, which satisfies the following conditions: 12×10 ^-7 /K < α ₁ < 210×10 ^-7 /K.

According to the optical lens assembly of the embodiment described in the previous paragraph, the ridge-shaped protrusions are wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers.

The optical lens group according to the embodiment described in the previous paragraph, wherein the distance along the optical axis from a first side surface to a second side surface in the optical lens group is D _S1SL , and the distance along the optical axis from the optical surface to the second side surface is D _SoSL , which satisfies the following conditions: 0.12 ≤ D _SoSL /D _S1SL < 0.985.

According to the optical lens set according to the embodiment described in the previous paragraph, the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400 nm to 780 nm is R _abs , which can satisfy the following conditions: 0 % ≤ R _abs ≤ 1.0 %.

According to the optical lens assembly of the embodiment described in the previous paragraph, the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which can meet the following conditions: 0 % ≤ R _avg ≤ 0.5 %.

According to the optical lens set according to the embodiment described in the previous paragraph, the glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, and the structural connection layer has a temperature range of -30 ^o C to 70 ^o C. , has a second average linear expansion coefficient α ₂ , which can satisfy the following conditions: 0.2 < α ₁ /α ₂ < 41.

According to the optical lens assembly of the embodiment described in the previous paragraph, the glass lens has a temperature coefficient of relative refractive index dn/dt in the temperature range -30 ^o C to 70 ^o C, which can meet the following conditions: 0.1×10 ^-6 / ^o C ≤｜dn/dt｜≤ 17×10 ^-6 / ^o C.

According to the optical lens assembly of the embodiment described in the previous paragraph, the optical surface may have an inflection point.

According to the optical lens set according to the embodiment described in the previous paragraph, the distance from an object-side surface of a first side lens of the optical lens set to an imaging surface along the optical axis is TL, which satisfies the following conditions: 8 mm ≤ TL.

According to the optical lens set of the embodiment described in the previous paragraph, the glass lens can be disposed on the first side of the optical lens set, and the optical lens set can further include a plastic lens disposed on an image side end of the glass lens along the optical axis.

The optical lens assembly according to the embodiment described in the previous paragraph may further include a bonded lens.

The optical lens assembly according to the embodiments described in the previous paragraph may further include at least one optical path turning element disposed at at least one of an object-side end and an image-side end of the optical lens assembly.

According to an embodiment of the present disclosure, an optical module is provided, which includes a light source and an optical lens set. An optical axis passes through the optical lens group, and the optical lens group includes at least three lenses. At least one of the three lenses is a glass lens, wherein the glass lens has refractive power, and the glass lens is closer to the light source than the other at least two lenses. An optical surface of the glass lens is non-planar, and an anti-reflection film layer is formed on the optical surface. , and the anti-reflective film layer includes a nanostructure layer and a structural connection layer. The nanostructure layer has a plurality of ridge-shaped protrusions extending non-directionally from the optical surface, and the material of the nanostructure layer includes aluminum oxide. The structural connection layer is disposed between the optical surface and the nanostructure layer. The structural connection layer includes at least one silicon dioxide film layer. The silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and the silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer. The thickness is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, which satisfies the following conditions: 12×10 ^-7 /K < α ₁ < 210×10 ^-7 /K.

According to the optical module of the embodiment described in the previous paragraph, the ridge-shaped protrusions are wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers.

According to the optical module of the embodiment described in the previous paragraph, the distance along the optical axis from a first side surface to a second side surface in the optical lens group is D _S1SL , and the distance along the optical axis from the optical surface to the second side surface is D _SoSL , which satisfies the following conditions: 0.12 ≤ D _SoSL /D _S1SL < 0.985.

According to the optical module of the embodiment described in the previous paragraph, the glass lens can be an array lens.

According to the optical module of the embodiment described in the previous paragraph, the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400 nm to 780 nm is R _abs , which can meet the following conditions: 0 % ≤ R _abs ≤ 1.0 %.

According to the optical module of the embodiment described in the previous paragraph, the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which can meet the following conditions: 0 % ≤ R _avg ≤ 0.5 %.

According to the optical module of the embodiment described in the previous paragraph, the glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, and the structural connection layer has a temperature range of -30 ^o C to 70 ^o C. , has a second average linear expansion coefficient α ₂ , which can satisfy the following conditions: 0.2 < α ₁ /α ₂ < 41.

According to the optical module of the embodiment described in the previous paragraph, the optical lens group may further include at least one optical path turning element, which is disposed at at least one of an object-side end and an image-side end of the optical lens group.

According to the optical module of the embodiment described in the previous paragraph, the light source may be a plurality of display elements arranged in an array.

According to an embodiment of the present disclosure, an optical module is provided, which includes a light source and an optical lens set. An optical axis passes through the optical lens group, and the optical lens group includes at least three lenses. At least one of the three lenses is a glass lens, wherein the glass lens has refractive power, and the glass lens is closer to the light source than the other at least two lenses. An optical surface of the glass lens is non-planar, and an anti-reflection film layer is formed on the optical surface. , and the anti-reflective film layer includes a nanostructure layer and a structural connection layer. The nanostructure layer has a plurality of ridge-shaped protrusions extending non-directionally from the optical surface, and the material of the nanostructure layer includes aluminum oxide. The structural connection layer is disposed between the optical surface and the nanostructure layer. The structural connection layer includes at least one silicon dioxide film layer. The silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and the silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer. The thickness is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The maximum effective radius of the optical surface is Y. There is a maximum displacement parallel to the optical axis from the intersection of the optical surface and the optical axis to the position of the maximum effective radius of the optical surface. SAG _glass . The glass lens has a temperature range of -30 ^o C to 70 ^o C. The first average linear expansion coefficient α ₁ satisfies the following conditions: 0.01 ≤ SAG _glass / Y ≤ 0.99; and 12×10 ^-7 /K ＜ α ₁ ＜ 210×10 ^-7 /K.

According to the optical module of the embodiment described in the previous paragraph, the ridge-shaped protrusions may be wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers.

According to the optical module of the embodiment described in the previous paragraph, the glass lens can be an array lens.

According to the optical module of the embodiment described in the previous paragraph, the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400 nm to 780 nm is R _abs , which can meet the following conditions: 0 % ≤ R _abs ≤ 1.0 %.

According to the optical module of the embodiment described in the previous paragraph, the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which can meet the following conditions: 0 % ≤ R _avg ≤ 0.5 %.

According to the optical module of the embodiment described in the previous paragraph, the glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, and the structural connection layer has a temperature range of -30 ^o C to 70 ^o C. , may have a second average linear expansion coefficient α ₂ , which satisfies the following conditions: 0.2 < α ₁ /α ₂ < 41.

According to the optical module of the embodiment described in the previous paragraph, the intersection point of the optical surface and the optical axis to the maximum effective radius position of the optical surface has a maximum displacement SAG _glass parallel to the optical axis, which can meet the following conditions: 90 μm ≤ SAG _glass .

According to the optical module of the embodiment described in the previous paragraph, the optical surface may have an inflection point.

According to the optical module of the embodiment described in the previous paragraph, the optical lens group may further include at least one optical path turning element, which is disposed at at least one of an object-side end and an image-side end of the optical lens group.

According to the optical module of the embodiment described in the previous paragraph, the light source may be a plurality of display elements arranged in an array.

The present disclosure provides an optical module, which includes a light source and an optical lens assembly. An optical axis passes through the optical lens assembly, and the optical lens assembly includes a glass lens. The glass lens has refractive power. An optical surface of the glass lens is non-planar. An anti-reflective film layer is formed on the optical surface. The anti-reflective film layer includes a nanostructure layer and a structural connection layer. The nanostructure layer has a plurality of ridge-like protrusions extending non-directionally from the optical surface. The material of the nanostructure layer includes aluminum oxide, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers. . The structural connection layer is disposed between the optical surface and the nanostructure layer. The structural connection layer includes at least one silicon dioxide film layer. The silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and the silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer. The thickness is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, which satisfies the following conditions: 12×10 ^-7 /K < α ₁ < 210×10 ^-7 /K. By configuring a glass lens with a low linear expansion coefficient α ₁ , the relative displacement between the anti-reflective film layer and the glass lens interface after temperature changes can be reduced to avoid problems such as film thickness changes, film peeling or film cracks, thereby improving anti-reflective properties. The stability of the coating on the optical surface under severe temperature changes enables the optical lens assembly to maintain imaging quality under hot and cold shocks.

The optical lens assembly may further include at least three lenses. At least one of the three lenses is the aforementioned glass lens, and the glass lens is closer to the light source than the other at least two lenses. When the distance along the optical axis from a first side surface to a second side surface in the optical lens group is D _S1SL , and the distance along the optical axis from the optical surface to the second side surface is D _SoSL , it can satisfy the following conditions: 0.12 ≤ D _SoSL /D _S1SL < 0.985. By arranging the anti-reflection coating layer at a specific position of the optical lens group, the surface reflection of non-imaging light can be reduced.

When viewed from the cross-section of an optical lens, the ridge-like protrusions can take on the shape of a ridge, wide at the bottom and narrow at the top. Such a ridge-like structure can make the equivalent refractive index of the nanostructure layer increase from the bottom (foot of the mountain) to the top (mountain of the mountain). part) gradually decreases and can form a rough surface to reduce the reflection of stray light.

Specifically, the nanostructure layer can have pores, and the distance between adjacent irregular protrusions gradually increases from the optical surface to the air direction, so that the equivalent refractive index of the nanostructure layer gradually changes towards 1.00, reducing the resistance to The refractive index change between the reflective film layer and the glass lens interface reduces the chance of light reflection.

Furthermore, when the maximum effective radius of the optical surface is Y, there is a maximum displacement SAG _glass parallel to the optical axis from the intersection point of the optical surface and the optical axis to the position of the maximum effective radius of the optical surface, which can meet the following conditions: 0.01 ≤ SAG _glass /Y ≤ 0.99. Through the configuration of the optical surface, the anti-reflective coating layer can be formed on the optical surface with curvature, thereby increasing the degree of design freedom.

Specifically, the glass lens may be ground glass or molded glass, but the present disclosure is not limited thereto. When the thickness of the nanostructure layer is t and t = 0 nm, the structural connection layer can be exposed to the air.

The maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400 nm to 780 nm is R _abs , which can meet the following conditions: 0 % ≤ R _abs ≤ 1.0 %. The optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which can meet the following conditions: 0 % ≤ R _avg ≤ 0.5 %. This maintains low reflectivity and avoids stray light reflections.

The glass lens may have a first average linear expansion coefficient α ₁ in the temperature range of -30 ^o C to 70 ^o C, and the structural connection layer may have a second average linear expansion coefficient α in the temperature range of -30 ^o C to 70 ^o C. ₂ , which can satisfy the following conditions: 0.2 ＜ α ₁ /α ₂ ＜ 41. Specifically, the linear expansion coefficient of the aluminum oxide crystal of the nanostructure layer can be 40×10 ^-7 /K - 100×10 ^-7 /K, and the linear expansion coefficient of the silicon dioxide film layer of the structural connection layer can be 5.5 ×10 ^-7 /K - 7.5×10 ^-7 /K, the first average linear expansion coefficient α ₁ of the glass lens can be 40×10 ^-7 /K - 180×10 ^-7 /K, but this disclosure does not This is the limit. Compared with the linear expansion coefficient of the optical plastic lens in the conventional technology of 600×10 ^-7 /K - 700×10 ^-7 /K, the linear expansion coefficient of the glass lens and the anti-reflection coating in this disclosure is close, making the two The relative displacement between them is small, thereby further improving the stability of the anti-reflective coating layer on the optical surface.

Furthermore, the structural connection layer can be a film layer composed of a high refractive index layer and a low refractive index layer alternately stacked, and the top of the structural connection layer is a silicon dioxide layer and is in physical contact with the nanostructure layer.

The glass lens can have a relative refractive index temperature coefficient of dn/dt in the temperature range -30 ^o C to 70 ^o C, which can meet the following conditions: 0.1×10 ^-6 / ^o C ≤｜dn/dt｜≤ 17 ×10 ^-6 / ^o C. In detail, the refractive index of optical glass changes with temperature, and the temperature coefficient of the refractive index in media such as air is called the relative refractive index temperature coefficient, and the temperature coefficient of the relative refractive index dn/dt is the spectral line wavelength 587.56 nm (d-line) Measured temperature coefficient of relative refractive index. By configuring a glass lens with a low relative refractive index and temperature coefficient dn/dt, the thermal defocus problem of the optical lens can be reduced, allowing the lens to maintain imaging quality after being subjected to thermal shock.

The optical surface may have an inflection point. Specifically, in addition to the anti-reflective film layer, the optical surface can also be provided with an anti-fog layer, an anti-scratch layer, a light-shielding coating, etc., but is not limited to this.

When the distance along the optical axis from an object-side surface of a first-side lens of the optical lens group to an imaging surface is TL, it can satisfy the following conditions: 8 mm ≤ TL. By lengthening the total length of the optical lens group, lenses with positive and negative refractive power can be effectively distributed, thereby reducing the occurrence of thermal defocus.

The glass lens can be disposed on the first side of the optical lens group, and the optical lens group can further include a plastic lens disposed on an image side end of the glass lens along the optical axis. Furthermore, the first lens on the first side of the optical lens group is the most sensitive to temperature effects, so when the first lens is a glass lens with a low expansion coefficient α ₁ and a low relative refractive index temperature coefficient dn/dt , which can make the optical lens group remain stable after temperature changes and maintain the functions of the anti-reflective coating (film thickness, adhesion, film integrity, cut-off wavelength). At the same time, the optical lens can increase design freedom by matching it with a plastic lens degree, increase production efficiency and reduce production costs.

The optical lens assembly may further include a cemented lens. With this, chromatic aberration can be eliminated.

The optical module may further include at least one optical path turning element, which is disposed at at least one of an object-side end and an image-side end of the optical lens assembly. In this way, the mounting space required for the optical module can be adjusted as needed to adapt to the miniaturized electronic device.

Furthermore, the glass lens can be an array lens. The light source may be a plurality of display elements arranged in an array. Specifically, the array form of the display elements can be the same as the array form of the array lens, but the present disclosure is not limited thereto.

Based on the above implementations, specific implementations and examples are provided below and described in detail with reference to the drawings.

<First Embodiment>

Please refer to FIG. 1A , which illustrates a schematic diagram of an optical lens assembly 100 of an optical module according to the first embodiment of the present disclosure. As shown in Figure 1A, the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 100. An optical axis X passes through the optical lens assembly 100, and the optical lens assembly 100 includes a lens barrel (not shown) and at least three lenses. At least three lenses are arranged in the lens barrel, and they are glass lenses 120, 130, lens 140, glass lens 150 and lenses 160 and 170 in order from the object side to the image side. The glass lenses 120 and 130 are closer to the lenses 140, 160 and 170. The light source, the glass lens 150 is closer to the light source than the lenses 160 and 170 . The glass lenses 120, 130, 150 and the lenses 140, 160, 170 all have refractive power, and the optical surfaces of the glass lenses 120, 130, 150 and the lenses 140, 160, 170 are all non-planar. Furthermore, the anti-reflection film layers 121 and 122 are formed on the optical surface of the glass lens 120 (ie, the two surfaces of the glass lens 120), and the anti-reflection film is formed on the optical surface of the glass lens 130 (ie, the two surfaces of the glass lens 130). Layers 131 and 132 form anti-reflection film layers 151 and 152 on the optical surface of the glass lens 150 (ie, the two surfaces of the glass lens 150).

Please refer to Figures 1B and 1C. Figure 1B illustrates a schematic diagram of the glass lens 150 according to the first embodiment of Figure 1A. Figure 1C illustrates the optical properties of the glass lens 150 according to the first embodiment of Figure 1B. Schematic cross-sectional view of the anti-reflective film layer 152 on the surface under an electron microscope. As shown in Figures 1B and 1C, the anti-reflective film layer 152 of the glass lens 150 is formed on the optical surface 153 of the glass lens 150 and includes a nanostructure layer 1521 and a structural connection layer 1522. The nanostructure layer 1521 has a plurality of ridge-shaped protrusions extending non-directionally from the optical surface 153. The material of the nanostructure layer 1521 includes aluminum oxide, and the average structural height of the nanostructure layer 1521 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. Specifically, the ridge-like protrusions can have a shape that is wide at the bottom and narrow at the top. The structural height of the nanostructure layer 1521 can be from the bottom of the ridge-shaped protrusions (foot portion) to the ridge when observed in cross section (destructive measurement). The vertical distance H1 of the top of the ridge-like protrusion (mountain part), and the average structural height of at least three or more ridge-like protrusions of the nanostructure layer 1521 (that is, the average height of H1) can be greater than or equal to 80 nanometers. And less than or equal to 350 nanometers. In the first embodiment, the structural height H1 of the nanostructure layer 1521 is 247.4 nanometers, but the present disclosure is not limited thereto.

The structural connection layer 1522 is disposed between the optical surface 153 and the nanostructure layer 1521. The structural connection layer 1522 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 1521. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. In the first embodiment, the thickness of the silicon dioxide film layer is 75.15 nanometers, but the disclosure is not limited thereto.

As shown in FIG. 1A , the optical lens assembly 100 may further include a cemented lens. Specifically, in the first embodiment, the lenses 160 and 170 are cemented lenses, and the image-side surface of the lens 160 is bonded to the object-side surface of the lens 170 .

As shown in Figure 1A, the lens barrel includes a front cover 111 and a barrel 112. The front cover 111 covers the barrel 112 . The glass lens 120 is in contact with the front cover 111 . The glass lenses 120 , 130 , 150 and the lenses 140 , 160 and 170 are accommodated in the barrel 112 and are all in contact with the barrel 112 . In addition, other optical components can be installed in the lens barrel according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

Please refer to Figure 1D and Figure 1E together. Figure 1D is a schematic diagram showing the reflectivity parameters of the object-side surface and the image-side surface of the glass lens 150 in the first embodiment without anti-reflection coating layers according to Figure 1B , Figure 1E is a schematic diagram showing the reflectivity parameters of the object-side and image-side surfaces of the glass lens 150 provided with anti-reflection coating layers 151 and 152 according to the first embodiment of Figure 1B. As shown in Figure 1D, the reflectivity of the object-side surface and the image-side surface of the glass lens 150 without the anti-reflection coating layer are N4R1 and N4R2 respectively. As shown in Figure 1E, the reflection of the object-side surface (ie, the surface with the anti-reflection film 151) and the image-side surface (ie, the surface with the anti-reflection film 152) of the glass lens 150 provided with the anti-reflection coating layer The rates are G4R1 and G4R2 respectively. The data of the reflectivity N4R1, N4R2, G4R1 and G4R2 of the glass lens 150 corresponding to the light wavelengths are as shown in Table 1 below. Table 1. Reflectivity of the glass lens 150 of the first embodiment Wavelength(nm) N4R1(%) N4R2(%) G4R1(%) G4R2(%) 400 1.2 1.1 0.7 0.9 401 1.0 1.0 0.7 0.9 402 0.9 0.9 0.7 0.8 403 0.8 0.8 0.6 0.8 404 0.7 0.7 0.6 0.8 405 0.6 0.6 0.6 0.8 406 0.5 0.6 0.6 0.7 407 0.5 0.5 0.6 0.7 408 0.4 0.5 0.6 0.7 409 0.3 0.4 0.6 0.7 410 0.3 0.4 0.5 0.7 411 0.2 0.3 0.5 0.6 412 0.2 0.3 0.5 0.6 413 0.2 0.2 0.5 0.6 414 0.1 0.2 0.5 0.6 415 0.1 0.2 0.5 0.6 416 0.1 0.2 0.5 0.6 417 0.1 0.1 0.5 0.5 418 0.1 0.1 0.5 0.5 419 0.1 0.1 0.5 0.5 420 0.1 0.1 0.4 0.5 421 0.1 0.1 0.4 0.5 422 0.1 0.1 0.4 0.5 423 0.1 0.1 0.4 0.5 424 0.1 0.0 0.4 0.5 425 0.1 0.0 0.4 0.4 426 0.1 0.0 0.4 0.4 427 0.1 0.0 0.4 0.4 428 0.1 0.0 0.4 0.4 429 0.1 0.0 0.4 0.4 430 0.1 0.0 0.4 0.4 431 0.1 0.0 0.4 0.4 432 0.1 0.0 0.4 0.4 433 0.1 0.0 0.4 0.4 434 0.1 0.0 0.3 0.4 435 0.1 0.0 0.3 0.3 436 0.1 0.0 0.3 0.3 437 0.1 0.0 0.3 0.3 438 0.1 0.0 0.3 0.3 439 0.1 0.0 0.3 0.3 440 0.1 0.0 0.3 0.3 441 0.1 0.0 0.3 0.3 442 0.1 0.0 0.3 0.3 443 0.2 0.0 0.3 0.3 444 0.2 0.0 0.3 0.3 445 0.2 0.0 0.3 0.2 446 0.2 0.0 0.3 0.2 447 0.2 0.0 0.3 0.2 448 0.2 0.0 0.3 0.2 449 0.2 0.0 0.3 0.2 450 0.2 0.0 0.3 0.2 451 0.2 0.0 0.2 0.2 452 0.2 0.0 0.2 0.2 453 0.2 0.0 0.3 0.2 454 0.2 0.0 0.2 0.2 455 0.2 0.0 0.2 0.2 456 0.2 0.0 0.2 0.2 457 0.2 0.0 0.2 0.2 458 0.2 0.0 0.2 0.2 459 0.2 0.0 0.2 0.2 460 0.2 0.0 0.2 0.2 461 0.2 0.1 0.2 0.2 462 0.2 0.0 0.2 0.2 463 0.2 0.1 0.2 0.2 464 0.1 0.1 0.2 0.2 465 0.1 0.1 0.2 0.2 466 0.1 0.1 0.2 0.2 467 0.1 0.1 0.2 0.1 468 0.1 0.1 0.2 0.1 469 0.1 0.1 0.2 0.1 470 0.1 0.1 0.2 0.1 471 0.1 0.1 0.2 0.1 472 0.1 0.1 0.2 0.1 473 0.1 0.1 0.2 0.1 474 0.1 0.1 0.2 0.1 475 0.1 0.1 0.2 0.1 476 0.1 0.1 0.2 0.1 477 0.1 0.1 0.2 0.1 478 0.1 0.1 0.2 0.1 479 0.1 0.1 0.2 0.1 480 0.1 0.1 0.2 0.1 481 0.1 0.1 0.2 0.1 482 0.1 0.1 0.2 0.1 483 0.1 0.1 0.2 0.1 484 0.1 0.2 0.2 0.1 485 0.1 0.2 0.2 0.1 486 0.1 0.2 0.2 0.1 487 0.1 0.2 0.2 0.1 488 0.1 0.2 0.2 0.1 489 0.1 0.2 0.2 0.1 490 0.1 0.2 0.2 0.1 491 0.1 0.2 0.1 0.1 492 0.1 0.2 0.2 0.1 493 0.1 0.2 0.1 0.1 494 0.1 0.2 0.1 0.1 495 0.1 0.2 0.1 0.1 496 0.1 0.2 0.1 0.1 497 0.1 0.2 0.1 0.1 498 0.1 0.2 0.1 0.1 499 0.1 0.2 0.1 0.1 500 0.1 0.2 0.1 0.1 501 0.1 0.3 0.1 0.1 502 0.1 0.3 0.1 0.1 503 0.1 0.3 0.1 0.1 504 0.1 0.3 0.1 0.1 505 0.1 0.3 0.1 0.1 506 0.1 0.3 0.1 0.1 507 0.1 0.3 0.1 0.1 508 0.1 0.3 0.1 0.1 509 0.1 0.3 0.1 0.1 510 0.1 0.3 0.1 0.1 511 0.1 0.3 0.1 0.1 512 0.1 0.3 0.1 0.1 513 0.1 0.3 0.1 0.1 514 0.1 0.3 0.1 0.0 515 0.1 0.3 0.1 0.0 516 0.1 0.3 0.1 0.0 517 0.1 0.3 0.1 0.0 518 0.1 0.3 0.1 0.0 519 0.1 0.3 0.1 0.0 520 0.1 0.3 0.1 0.0 521 0.1 0.3 0.1 0.0 522 0.1 0.3 0.1 0.0 523 0.1 0.3 0.1 0.0 524 0.1 0.4 0.1 0.0 525 0.2 0.4 0.1 0.0 526 0.2 0.4 0.1 0.0 527 0.2 0.4 0.1 0.0 528 0.2 0.4 0.1 0.0 529 0.2 0.4 0.1 0.0 530 0.2 0.4 0.1 0.0 531 0.2 0.4 0.1 0.0 532 0.2 0.4 0.1 0.0 533 0.2 0.4 0.1 0.0 534 0.2 0.4 0.1 0.0 535 0.2 0.4 0.1 0.0 536 0.2 0.4 0.1 0.0 537 0.2 0.4 0.1 0.0 538 0.2 0.4 0.1 0.0 539 0.2 0.4 0.1 0.0 540 0.2 0.4 0.1 0.0 541 0.2 0.4 0.1 0.0 542 0.2 0.4 0.1 0.0 543 0.2 0.4 0.1 0.0 544 0.2 0.4 0.1 0.0 545 0.2 0.4 0.1 0.0 546 0.2 0.4 0.1 0.0 547 0.2 0.4 0.1 0.0 548 0.2 0.3 0.1 0.0 549 0.2 0.3 0.1 0.0 550 0.2 0.3 0.1 0.0 551 0.2 0.3 0.1 0.0 552 0.2 0.3 0.1 0.0 553 0.2 0.3 0.1 0.0 554 0.2 0.3 0.1 0.0 555 0.2 0.3 0.1 0.0 556 0.2 0.3 0.1 0.0 557 0.2 0.3 0.1 0.0 558 0.2 0.3 0.1 0.0 559 0.2 0.3 0.1 0.0 560 0.2 0.3 0.1 0.0 561 0.2 0.3 0.1 0.0 562 0.2 0.3 0.1 0.0 563 0.2 0.3 0.1 0.0 564 0.2 0.3 0.1 0.0 565 0.2 0.3 0.1 0.0 566 0.2 0.3 0.1 0.0 567 0.2 0.3 0.1 0.0 568 0.2 0.3 0.1 0.0 569 0.2 0.3 0.1 0.0 570 0.2 0.3 0.1 0.0 571 0.2 0.3 0.1 0.0 572 0.2 0.2 0.1 0.0 573 0.2 0.2 0.1 0.0 574 0.2 0.2 0.1 0.0 575 0.2 0.2 0.1 0.0 576 0.2 0.2 0.1 0.0 577 0.2 0.2 0.1 0.0 578 0.2 0.2 0.0 0.0 579 0.2 0.2 0.1 0.0 580 0.2 0.2 0.0 0.0 581 0.2 0.2 0.0 0.0 582 0.2 0.2 0.0 0.0 583 0.2 0.2 0.0 0.0 584 0.2 0.2 0.0 0.0 585 0.2 0.2 0.0 0.0 586 0.2 0.2 0.0 0.0 587 0.2 0.2 0.0 0.0 588 0.2 0.1 0.0 0.0 589 0.2 0.1 0.0 0.0 590 0.2 0.1 0.0 0.0 591 0.2 0.1 0.0 0.0 592 0.2 0.1 0.0 0.0 593 0.2 0.1 0.0 0.0 594 0.1 0.1 0.0 0.0 595 0.1 0.1 0.0 0.0 596 0.1 0.1 0.0 0.0 597 0.1 0.1 0.0 0.0 598 0.1 0.1 0.0 0.0 599 0.1 0.1 0.0 0.0 600 0.1 0.1 0.0 0.0 601 0.1 0.1 0.0 0.0 602 0.1 0.1 0.0 0.0 603 0.1 0.1 0.0 0.0 604 0.1 0.1 0.0 0.0 605 0.1 0.1 0.0 0.0 606 0.1 0.1 0.0 0.0 607 0.1 0.0 0.0 0.0 608 0.1 0.0 0.0 0.0 609 0.1 0.0 0.0 0.0 610 0.1 0.0 0.0 0.0 611 0.1 0.0 0.0 0.0 612 0.1 0.0 0.0 0.0 613 0.1 0.0 0.0 0.0 614 0.1 0.0 0.0 0.0 615 0.1 0.0 0.0 0.0 616 0.1 0.0 0.0 0.0 617 0.0 0.0 0.0 0.0 618 0.0 0.0 0.0 0.0 619 0.0 0.0 0.0 0.0 620 0.0 0.0 0.0 0.0 621 0.0 0.0 0.0 0.0 622 0.0 0.0 0.0 0.0 623 0.0 0.0 0.0 0.0 624 0.0 0.0 0.0 0.0 625 0.0 0.0 0.0 0.0 626 0.0 0.0 0.0 0.0 627 0.0 0.0 0.0 0.0 628 0.0 0.0 0.0 0.0 629 0.0 0.0 0.0 0.0 630 0.0 0.0 0.0 0.0 631 0.0 0.0 0.0 0.0 632 0.0 0.0 0.0 0.0 633 0.0 0.0 0.0 0.0 634 0.0 0.0 0.0 0.0 635 0.0 0.0 0.0 0.0 636 0.0 0.0 0.0 0.0 637 0.0 0.0 0.0 0.0 638 0.0 0.0 0.0 0.0 639 0.0 0.0 0.0 0.0 640 0.0 0.0 0.0 0.0 641 0.0 0.0 0.0 0.0 642 0.0 0.1 0.0 0.0 643 0.0 0.1 0.0 0.0 644 0.0 0.1 0.0 0.0 645 0.0 0.1 0.0 0.0 646 0.0 0.1 0.0 0.0 647 0.0 0.1 0.0 0.0 648 0.0 0.1 0.0 0.0 649 0.0 0.1 0.0 0.0 650 0.0 0.1 0.0 0.0 651 0.1 0.1 0.0 0.0 652 0.1 0.1 0.0 0.0 653 0.1 0.1 0.0 0.0 654 0.1 0.1 0.0 0.0 655 0.1 0.2 0.0 0.0 656 0.1 0.2 0.0 0.0 657 0.1 0.2 0.0 0.0 658 0.1 0.2 0.0 0.0 659 0.1 0.2 0.0 0.0 660 0.1 0.2 0.0 0.0 661 0.1 0.2 0.0 0.0 662 0.1 0.2 0.0 0.0 663 0.1 0.2 0.0 0.0 664 0.1 0.3 0.0 0.0 665 0.2 0.3 0.0 0.0 666 0.2 0.3 0.0 0.0 667 0.2 0.3 0.0 0.0 668 0.2 0.3 0.0 0.0 669 0.2 0.3 0.0 0.0 670 0.2 0.3 0.0 0.0 671 0.2 0.4 0.0 0.0 672 0.2 0.4 0.0 0.0 673 0.2 0.4 0.0 0.0 674 0.3 0.4 0.0 0.0 675 0.3 0.4 0.0 0.0 676 0.3 0.4 0.0 0.0 677 0.3 0.5 0.0 0.0 678 0.3 0.5 0.0 0.0 679 0.3 0.5 0.0 0.0 680 0.4 0.5 0.0 0.0 681 0.4 0.5 0.0 0.0 682 0.4 0.6 0.0 0.0 683 0.4 0.6 0.0 0.0 684 0.4 0.6 0.0 0.0 685 0.4 0.6 0.0 0.0 686 0.5 0.6 0.0 0.0 687 0.5 0.7 0.0 0.0 688 0.5 0.7 0.0 0.0 689 0.5 0.7 0.0 0.0 690 0.5 0.7 0.0 0.0 691 0.6 0.8 0.0 0.0 692 0.6 0.8 0.0 0.0 693 0.6 0.8 0.0 0.0 694 0.6 0.8 0.0 0.0 695 0.6 0.9 0.0 0.0 696 0.7 0.9 0.0 0.0 697 0.7 0.9 0.0 0.0 698 0.7 0.9 0.0 0.0 699 0.7 1.0 0.0 0.0 700 0.8 1.0 0.0 0.0 701 0.8 1.0 0.0 0.0 702 0.8 1.0 0.0 0.0 703 0.8 1.1 0.0 0.0 704 0.9 1.1 0.0 0.0 705 0.9 1.1 0.0 0.0 706 0.9 1.2 0.0 0.0 707 0.9 1.2 0.0 0.0 708 1.0 1.2 0.0 0.0 709 1.0 1.2 0.0 0.0 710 1.0 1.3 0.0 0.0 711 1.0 1.3 0.0 0.0 712 1.1 1.3 0.0 0.0 713 1.1 1.4 0.0 0.0 714 1.1 1.4 0.1 0.0 715 1.2 1.4 0.1 0.0 716 1.2 1.5 0.1 0.0 717 1.2 1.5 0.1 0.0 718 1.2 1.5 0.1 0.0 719 1.3 1.5 0.1 0.0 720 1.3 1.6 0.1 0.0 721 1.3 1.6 0.1 0.0 722 1.4 1.6 0.1 0.0 723 1.4 1.7 0.1 0.0 724 1.4 1.7 0.1 0.0 725 1.5 1.7 0.1 0.0 726 1.5 1.8 0.1 0.0 727 1.5 1.8 0.1 0.0 728 1.6 1.9 0.1 0.0 729 1.6 1.9 0.1 0.0 730 1.6 1.9 0.1 0.0 731 1.7 2.0 0.1 0.0 732 1.7 2.0 0.1 0.0 733 1.7 2.0 0.1 0.0 734 1.8 2.1 0.1 0.0 735 1.8 2.1 0.1 0.0 736 1.8 2.1 0.1 0.0 737 1.9 2.2 0.1 0.0 738 1.9 2.2 0.1 0.0 739 2.0 2.2 0.1 0.0 740 2.0 2.3 0.1 0.0 741 2.0 2.3 0.1 0.0 742 2.1 2.4 0.1 0.0 743 2.1 2.4 0.1 0.0 744 2.1 2.4 0.1 0.0 745 2.2 2.5 0.1 0.0 746 2.2 2.5 0.1 0.0 747 2.3 2.6 0.1 0.0 748 2.3 2.6 0.1 0.0 749 2.3 2.6 0.1 0.0 750 2.4 2.7 0.1 0.0 751 2.4 2.7 0.1 0.0 752 2.5 2.8 0.1 0.0 753 2.5 2.8 0.1 0.0 754 2.5 2.8 0.1 0.0 755 2.6 2.9 0.1 0.0 756 2.6 2.9 0.1 0.0 757 2.7 3.0 0.1 0.0 758 2.7 3.0 0.1 0.0 759 2.8 3.0 0.1 0.0 760 2.8 3.1 0.1 0.1 761 2.8 3.1 0.1 0.1 762 2.9 3.2 0.1 0.1 763 2.9 3.2 0.1 0.1 764 3.0 3.2 0.1 0.1 765 3.0 3.3 0.1 0.1 766 3.1 3.3 0.1 0.1 767 3.1 3.4 0.1 0.1 768 3.1 3.4 0.1 0.1 769 3.2 3.5 0.1 0.1 770 3.2 3.5 0.1 0.1 771 3.3 3.5 0.1 0.1 772 3.3 3.6 0.1 0.1 773 3.4 3.6 0.1 0.1 774 3.4 3.7 0.1 0.1 775 3.5 3.7 0.1 0.1 776 3.5 3.8 0.1 0.1 777 3.5 3.8 0.1 0.1 778 3.6 3.8 0.1 0.1 779 3.6 3.9 0.1 0.1 780 3.7 3.9 0.1 0.1 781 3.7 4.0 0.1 0.1 782 3.8 4.0 0.1 0.1 783 3.8 4.1 0.1 0.1 784 3.9 4.1 0.1 0.1 785 3.9 4.1 0.1 0.1 786 4.0 4.2 0.1 0.1 787 4.0 4.2 0.1 0.1 788 4.1 4.3 0.1 0.1 789 4.1 4.3 0.1 0.1 790 4.1 4.4 0.1 0.1 791 4.2 4.4 0.1 0.1 792 4.2 4.4 0.1 0.1 793 4.3 4.5 0.1 0.1 794 4.3 4.5 0.1 0.1 795 4.4 4.6 0.2 0.1 796 4.4 4.6 0.2 0.1 797 4.5 4.7 0.2 0.1 798 4.5 4.7 0.2 0.1 799 4.6 4.7 0.2 0.1 800 4.6 4.8 0.2 0.1 801 4.7 4.8 0.2 0.1 802 4.7 4.9 0.2 0.1 803 4.8 4.9 0.2 0.1 804 4.8 5.0 0.2 0.1 805 4.9 5.0 0.2 0.1 806 4.9 5.1 0.2 0.1 807 4.9 5.1 0.2 0.1 808 5.0 5.1 0.2 0.1 809 5.0 5.2 0.2 0.1 810 5.1 5.2 0.2 0.1 811 5.1 5.3 0.2 0.1 812 5.2 5.3 0.2 0.1 813 5.2 5.4 0.2 0.1 814 5.3 5.4 0.2 0.1 815 5.3 5.4 0.2 0.1 816 5.4 5.5 0.2 0.1 817 5.4 5.5 0.2 0.1 818 5.5 5.6 0.2 0.1 819 5.5 5.6 0.2 0.1 820 5.6 5.7 0.2 0.1 821 5.6 5.7 0.2 0.1 822 5.7 5.8 0.2 0.1 823 5.7 5.8 0.2 0.1 824 5.8 5.8 0.2 0.1 825 5.8 5.9 0.2 0.2 826 5.9 5.9 0.2 0.2 827 5.9 6.0 0.2 0.2 828 6.0 6.0 0.2 0.2 829 6.0 6.1 0.2 0.2 830 6.1 6.1 0.2 0.2 831 6.1 6.1 0.2 0.2 832 6.1 6.2 0.2 0.2 833 6.2 6.2 0.2 0.2 834 6.2 6.3 0.2 0.2 835 6.3 6.3 0.2 0.2 836 6.3 6.4 0.2 0.2 837 6.4 6.4 0.2 0.2 838 6.4 6.4 0.2 0.2 839 6.5 6.5 0.2 0.2 840 6.5 6.5 0.2 0.2 841 6.6 6.6 0.2 0.2 842 6.6 6.6 0.3 0.2 843 6.7 6.6 0.3 0.2 844 6.7 6.7 0.3 0.2 845 6.8 6.7 0.3 0.2 846 6.8 6.8 0.3 0.2 847 6.9 6.8 0.3 0.2 848 6.9 6.8 0.3 0.2 849 6.9 6.9 0.3 0.2 850 7.0 6.9 0.3 0.2 851 7.0 7.0 0.3 0.2 852 7.1 7.0 0.3 0.2 853 7.1 7.1 0.3 0.2 854 7.2 7.1 0.3 0.2 855 7.2 7.1 0.3 0.2 856 7.3 7.2 0.3 0.2 857 7.3 7.2 0.3 0.2 858 7.4 7.3 0.3 0.2 859 7.4 7.3 0.3 0.2 860 7.5 7.3 0.3 0.2 861 7.5 7.4 0.3 0.2 862 7.5 7.4 0.3 0.2 863 7.6 7.4 0.3 0.2 864 7.6 7.5 0.3 0.2 865 7.7 7.5 0.3 0.2 866 7.7 7.6 0.3 0.2 867 7.8 7.6 0.3 0.2 868 7.8 7.6 0.3 0.2 869 7.8 7.7 0.3 0.2 870 7.9 7.7 0.3 0.3 871 7.9 7.7 0.3 0.3 872 8.0 7.8 0.3 0.3 873 8.0 7.8 0.3 0.3 874 8.1 7.9 0.3 0.3 875 8.1 7.9 0.3 0.3 876 8.2 7.9 0.3 0.3 877 8.2 8.0 0.3 0.3 878 8.2 8.0 0.3 0.3 879 8.3 8.1 0.4 0.3 880 8.3 8.1 0.4 0.3 881 8.4 8.1 0.4 0.3 882 8.4 8.2 0.4 0.3 883 8.5 8.2 0.4 0.3 884 8.5 8.2 0.4 0.3 885 8.5 8.3 0.4 0.3 886 8.6 8.3 0.4 0.3 887 8.6 8.3 0.4 0.3 888 8.7 8.4 0.4 0.3 889 8.7 8.4 0.4 0.3 890 8.8 8.5 0.4 0.3 891 8.8 8.5 0.4 0.3 892 8.8 8.5 0.4 0.3 893 8.9 8.6 0.4 0.3 894 8.9 8.6 0.4 0.3 895 8.9 8.6 0.4 0.3 896 9.0 8.7 0.4 0.3 897 9.0 8.7 0.4 0.3 898 9.1 8.7 0.4 0.3 899 9.1 8.8 0.4 0.3 900 9.2 8.8 0.4 0.3 901 9.2 8.8 0.4 0.3 902 9.2 8.9 0.4 0.3 903 9.3 8.9 0.4 0.3 904 9.3 8.9 0.4 0.3 905 9.4 9.0 0.4 0.3 906 9.4 9.0 0.4 0.4 907 9.4 9.0 0.4 0.4 908 9.5 9.1 0.4 0.4 909 9.5 9.1 0.4 0.4 910 9.5 9.1 0.4 0.4 911 9.6 9.2 0.4 0.4 912 9.6 9.2 0.5 0.4 913 9.7 9.2 0.5 0.4 914 9.7 9.3 0.5 0.4 915 9.8 9.3 0.5 0.4 916 9.8 9.3 0.5 0.4 917 9.8 9.4 0.5 0.4 918 9.9 9.4 0.5 0.4 919 9.9 9.4 0.5 0.4 920 9.9 9.5 0.5 0.4 921 10.0 9.5 0.5 0.4 922 10.0 9.5 0.5 0.4 923 10.1 9.6 0.5 0.4 924 10.1 9.6 0.5 0.4 925 10.1 9.6 0.5 0.4 926 10.1 9.6 0.5 0.4 927 10.2 9.7 0.5 0.4 928 10.2 9.7 0.5 0.4 929 10.3 9.7 0.5 0.4 930 10.3 9.8 0.5 0.4 931 10.3 9.8 0.5 0.4 932 10.4 9.8 0.5 0.4 933 10.4 9.8 0.5 0.4 934 10.5 9.9 0.5 0.4 935 10.5 9.9 0.5 0.4 936 10.6 10.0 0.5 0.5 937 10.6 10.0 0.5 0.5 938 10.6 10.0 0.5 0.5 939 10.7 10.0 0.5 0.5 940 10.8 10.1 0.5 0.5 941 10.8 10.1 0.6 0.5 942 10.8 10.1 0.6 0.5 943 10.8 10.2 0.6 0.5 944 10.8 10.2 0.6 0.5 945 10.9 10.2 0.6 0.5 946 10.9 10.2 0.6 0.5 947 10.9 10.3 0.6 0.5 948 10.9 10.3 0.6 0.5 949 11.0 10.3 0.6 0.5 950 11.0 10.4 0.6 0.5 951 11.1 10.4 0.6 0.5 952 11.1 10.4 0.6 0.5 953 11.1 10.4 0.6 0.5 954 11.2 10.5 0.6 0.5 955 11.2 10.5 0.6 0.5 956 11.2 10.5 0.6 0.5 957 11.2 10.5 0.6 0.5 958 11.3 10.6 0.6 0.5 959 11.3 10.6 0.6 0.5 960 11.4 10.6 0.6 0.5 961 11.4 10.7 0.6 0.5 962 11.4 10.7 0.6 0.5 963 11.4 10.7 0.6 0.5 964 11.5 10.7 0.6 0.6 965 11.5 10.7 0.6 0.6 966 11.5 10.8 0.6 0.5 967 11.6 10.8 0.6 0.6 968 11.6 10.8 0.7 0.6 969 11.6 10.9 0.7 0.6 970 11.7 10.9 0.7 0.6 971 11.7 10.9 0.7 0.6 972 11.7 10.9 0.7 0.6 973 11.7 10.9 0.7 0.6 974 11.8 11.0 0.7 0.6 975 11.8 11.0 0.7 0.6 976 11.8 11.0 0.7 0.6 977 11.9 11.0 0.7 0.6 978 11.9 11.1 0.7 0.6 979 11.9 11.1 0.7 0.6 980 11.9 11.1 0.7 0.6 981 12.0 11.1 0.7 0.6 982 12.0 11.2 0.7 0.6 983 12.0 11.2 0.7 0.6 984 12.1 11.2 0.7 0.6 985 12.1 11.2 0.7 0.6 986 12.1 11.2 0.7 0.6 987 12.1 11.2 0.7 0.6 988 12.2 11.3 0.7 0.6 989 12.2 11.3 0.7 0.6 990 12.2 11.3 0.7 0.6 991 12.3 11.4 0.7 0.6 992 12.3 11.4 0.7 0.7 993 12.3 11.4 0.7 0.6 994 12.3 11.4 0.7 0.7 995 12.3 11.4 0.7 0.7 996 12.4 11.4 0.8 0.7 997 12.4 11.5 0.8 0.7 998 12.4 11.5 0.8 0.7 999 12.5 11.5 0.8 0.7 1000 12.5 11.5 0.8 0.7 1001 12.5 11.5 0.8 0.7 1002 12.5 11.5 0.8 0.7 1003 12.5 11.5 0.8 0.7 1004 12.6 11.6 0.8 0.7 1005 12.6 11.6 0.8 0.7 1006 12.6 11.6 0.8 0.7 1007 12.6 11.7 0.8 0.7 1008 12.7 11.7 0.8 0.7 1009 12.7 11.7 0.8 0.7 1010 12.7 11.7 0.8 0.7 1011 12.7 11.7 0.8 0.7 1012 12.7 11.7 0.8 0.7 1013 12.8 11.8 0.8 0.7 1014 12.8 11.8 0.8 0.7 1015 12.8 11.8 0.8 0.7 1016 12.8 11.8 0.8 0.7 1017 12.8 11.8 0.8 0.7 1018 12.8 11.8 0.8 0.7 1019 12.9 11.8 0.8 0.7 1020 12.9 11.9 0.8 0.7 1021 12.9 11.9 0.8 0.7 1022 12.9 11.9 0.8 0.8 1023 12.9 11.9 0.8 0.8 1024 13.0 11.9 0.8 0.7 1025 13.0 11.9 0.8 0.8 1026 13.0 11.9 0.8 0.8 1027 13.0 12.0 0.9 0.8 1028 13.1 12.0 0.9 0.8 1029 13.1 12.0 0.9 0.8 1030 13.1 12.0 0.9 0.8 1031 13.1 12.0 0.8 0.8 1032 13.1 12.0 0.9 0.8 1033 13.1 12.0 0.9 0.8 1034 13.1 12.0 0.9 0.8 1035 13.2 12.1 0.9 0.8 1036 13.2 12.1 0.9 0.8 1037 13.2 12.1 0.9 0.8 1038 13.3 12.1 0.9 0.8 1039 13.3 12.1 0.9 0.8 1040 13.2 12.1 0.9 0.8 1041 13.2 12.1 0.9 0.8 1042 13.3 12.1 0.9 0.8 1043 13.3 12.1 0.9 0.8 1044 13.4 12.2 0.9 0.8 1045 13.3 12.2 0.9 0.8 1046 13.4 12.2 0.9 0.8 1047 13.3 12.2 0.9 0.8 1048 13.3 12.2 0.9 0.8 1049 13.2 12.1 0.9 0.8 1050 13.4 12.2 0.9 0.8

It can be seen from Table 1 that the average reflectivity of the object-side surface and the image-side surface of the glass lens 150 without an anti-reflection coating layer at the corresponding light wavelengths from 400 nm to 780 nm is 0.58% and 0.68% respectively, while the object-side surface of the glass lens 150 Anti-reflection coating layers 151 and 152 are provided on the surface and the image side surface, and the average reflectance R _avg at corresponding light wavelengths from 400 nm to 780 nm is 0.13% and 0.09% respectively. The object-side surface and the image-side surface of the glass lens 150 are provided with anti-reflection coating layers 151 and 152. The maximum reflectivity values R _abs at corresponding light wavelengths of 400 nm to 780 nm are 0.7% and 0.9% respectively. By setting an anti-reflective coating layer, the reflectivity of the glass lens can be effectively reduced.

In the first embodiment, _the distance along the optical axis The distance from the optical surface 153 of the lens 150 to the _second side surface along the optical axis is TL, and the parameters satisfy the conditions in Table 2 below. Table 2, first embodiment D _S1SL (mm) 16.74 _DSoSL (mm) 5.73 D _SoSL /D _S1SL 0.342 TL(mm) 19.55

Furthermore, as for the glass lens 120 in the first embodiment, the average structural height of the nanostructure layers of the anti-reflective film layers 121 and 122 is greater than or equal to 80 nanometers and less than or equal to 350 nanometers, and each anti-reflective film layer The thickness of the silicon dioxide film layer of the structural connection layer in layers 121 and 122 is both greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens 120 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. The structural connection of the anti-reflection film layer 121 of the glass lens 120 The layer and the structural connection layer of the anti-reflective film layer 122 both have a second average linear expansion coefficient α ₂ in the temperature range of -30 ^° C to 70 ^° C, and the parameter satisfies the conditions of Table 3 below. Table 3. Glass lens 120 of the first embodiment α ₁ (10 ^-7 /K) 89 dn/dt(10 ^-6 /K) 0.9~1.9 Anti-reflective coating layer 121 Anti-reflective coating layer 122 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 13.7 α ₁ / α ₂ 13.7

As for the glass lens 130 in the first embodiment, the average structural height of the nanostructure layers of the anti-reflective film layers 131 and 132 is greater than or equal to 80 nanometers and less than or equal to 350 nanometers, and the anti-reflective film layers 131, 132 are both greater than or equal to 80 nanometers and less than or equal to 350 nanometers. The thickness of the silicon dioxide film layer of the structural connection layer in 132 is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens 130 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. A structure of the anti-reflection film layer 131 of the glass lens 130 The connection layer and a structural connection layer of the anti-reflection film layer 132 both have a second average linear expansion coefficient α ₂ in the temperature range of -30 ^° C to 70 ^° C, and the parameter satisfies the conditions in Table 4 below. Table 4. Glass lens 130 of the first embodiment α ₁ (10 ^-7 /K) 67 dn/dt(10 ^-6 /K) 1.2~2.7 Anti-reflective coating 131 Anti-reflective coating 132 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 10.3 α ₁ / α ₂ 10.3

As for the glass lens 150 in the first embodiment, the glass lens 150 has a first average linear expansion coefficient α ₁ in the temperature range of -30 ^° C to 70 ^° C. The structure of the anti-reflection film layer 151 of the glass lens 150 The structure of the connection layer and the anti-reflection film layer 152. The connection layer 1522 has a second average linear expansion coefficient α ₂ in the temperature range of -30 ^o C to 70 ^o C, and a temperature coefficient of relative refractive index is dn/dt, and The parameters satisfy the conditions in Table 5 below. Table 5. Glass lens 150 of the first embodiment α ₁ (10 ^-7 /K) 60 dn/dt(10 ^-6 /K) 4.4~5.0 Anti-reflective coating 151 Anti-reflective coating layer 152 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 9.2 α ₁ / α ₂ 9.2

It is worth mentioning that the average reflectance R _avg and the maximum reflectance value R _abs of the optical surfaces of the glass lenses 120 and 130 corresponding to the light wavelength of 400 nm to 780 nm respectively meet the following conditions: 0% ≤ R _avg ≤ 0.5%; and 0 % ≤ R _abs ≤ 1.0 %. In addition, in the following second to sixth embodiments, the optical surface of the glass lens also satisfies the above conditions, which will not be described again.

<Second Embodiment>

Please refer to FIG. 2 , which illustrates a schematic diagram of an optical lens assembly 200 of an optical module according to a second embodiment of the present disclosure. As shown in Figure 2, the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 200. An optical axis X passes through the optical lens assembly 200, and the optical lens assembly 200 includes a lens barrel (not shown) and at least three lenses. At least three lenses are arranged in the lens barrel, and from the object side to the image side, they are the glass lens 220, the lens 230, the glass lens 240 and the lenses 250, 260 and 270. The glass lens 220 is closer than the lenses 230, 250, 260 and 270. The light source and glass lens 240 are closer to the light source than the lenses 250, 260, and 270. The glass lenses 220 and 240 and the lenses 230, 250, 260 and 270 all have refractive power, and the optical surfaces of the glass lenses 220 and 240 and the lenses 230, 250, 260 and 270 are all non-planar.

Furthermore, an anti-reflective film layer 221 is formed on the optical surface of the glass lens 220 (ie, the image side surface of the glass lens 220), and an anti-reflective film layer is formed on the optical surface of the glass lens 240 (ie, both surfaces of the glass lens 240). 241, 242. Taking the anti-reflective film layer 241 of the glass lens 240 as an example, the anti-reflective film layer 241 of the glass lens 240 is formed on the optical surface 243 of the glass lens 240 and includes a nanostructure layer 2411 and a structural connection layer 2412. The nanostructure layer 2411 has a plurality of ridge-like protrusions extending in a non-directional direction from the optical surface 243. The material of the nanostructure layer 2411 includes aluminum oxide, and the average structural height of the nanostructure layer 2411 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. The structural connection layer 2412 is disposed between the optical surface 243 and the nanostructure layer 2411. The structural connection layer 2412 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 2411. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers.

As shown in FIG. 2 , the optical lens assembly 200 may further include a bonded lens. Specifically, in the second embodiment, the lenses 260 and 270 are cemented lenses, and an image-side surface of the lens 260 is bonded to an object-side surface of the lens 270 .

As can be seen from Figure 2, the lens barrel includes a front cover 211 and a barrel 212. The front cover 211 covers the barrel 212, and the front cover 211 is in contact with the glass lens 220. The glass lenses 220, 240 and lenses 230, 250, 260, 270 are accommodated in the barrel 212 and are in contact with the barrel 212. In addition, other optical components can be installed in the lens barrel according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

In the second embodiment, _the distance along the optical axis The distance from the optical surface of the lens 240 (the image side surface _of the glass lens 240) to the second side surface along the optical axis The distance of the imaging surface along the optical axis X is TL, and the parameters satisfy the conditions in Table 6 below. Table 6. Second Embodiment D _S1SL (mm) 15.09 _DSoSL (mm) 8.62 D _SoSL /D _S1SL 0.571 TL(mm) 19.89

Furthermore, as for the glass lens 220 in the second embodiment, the average structural height of the nanostructure layer of the anti-reflective film layer 221 is greater than or equal to 80 nanometers and less than or equal to 350 nanometers, and the structure in the anti-reflective film layer 221 The thickness of the silicon dioxide film layer of the connection layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens 220 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. A structure of the anti-reflection film layer 221 of the glass lens 220 The connection layer has a second average linear expansion coefficient α ₂ in the temperature range of -30 ^o C to 70 ^o C. The thickness of a nanostructure layer of the anti-reflection film layer 221 is d1, and the structural connection layer of the anti-reflection film layer 221 The thickness of the silicon dioxide layer is d2, and the parameters satisfy the conditions in Table 7 below. Table 7. Glass lens 220 of the second embodiment α ₁ (10 ^-7 /K) 90 α ₂ (10 ^-7 /K) 6.5 dn/dt(10 ^-6 /K) 0.1~0.7 α ₁ / α ₂ 13.8

As for the glass lens 240 in the second embodiment, the glass lens 240 has a first average linear expansion coefficient α ₁ and a relative refractive index temperature coefficient of dn/dt in the temperature range of -30 ^° C to 70 ^° C. The structural connection layer 2412 of the anti-reflection film layer 241 of the glass lens 240 and a structural connection layer of the anti-reflection film layer 242 both have a second average linear expansion coefficient α ₂ in the temperature range of -30 ^o C to 70 ^o C, and The parameters satisfy the conditions in Table 8 below. Table 8. Glass lens 240 of the second embodiment α ₁ (10 ^-7 /K) 58 dn/dt(10 ^-6 /K) 6.6~8.4 Anti-reflective coating 241 Anti-reflective coating 242 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 8.9 α ₁ / α ₂ 8.9

<Third Embodiment>

Please refer to FIG. 3 , which illustrates a schematic diagram of an optical lens assembly 300 of an optical module according to a third embodiment of the present disclosure. As shown in Figure 3, the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 300. An optical axis X passes through the optical lens assembly 300, and the optical lens assembly 300 includes a lens barrel (not shown) and at least three lenses. At least three lenses are arranged in the lens barrel, and in order from the object side to the image side are the glass lens 320, the lenses 330, 340, 350, 360, 370, 380 and the glass lens 390, where the glass lens 320 is larger than the lenses 330, 340, 350 , 360, 370, 380 are close to the light source. The glass lenses 320 and 390 and the lenses 330, 340, 350, 360, 370 and 380 all have refractive power, and the optical surfaces of the glass lenses 320 and 390 and the lenses 330, 340, 350, 360, 370 and 380 are all non-planar.

Specifically, the glass lens 320 and the lens 360 are molded glass lenses, and the lenses 330, 340, 350, 370, 380 and the glass lens 390 are ground glass lenses. In the third embodiment, the optical surface of the glass lens 320 has an inflection point 324, but the disclosure is not limited thereto.

Furthermore, the anti-reflection film layers 321 and 322 are formed on the optical surface of the glass lens 320 (i.e., the two surfaces of the glass lens 320), and the anti-reflection film layers 321 and 322 are formed on the optical surface of the glass lens 390 (i.e., the object-side surface of the glass lens 390). Film layer 391. Taking the anti-reflective film layer 321 of the glass lens 320 as an example, the anti-reflective film layer 321 of the glass lens 320 is formed on the optical surface 323 of the glass lens 320 and includes a nanostructure layer 3211 and a structural connection layer 3212. The nanostructure layer 3211 has a plurality of ridge-like protrusions extending in a non-directional direction from the optical surface 323. The material of the nanostructure layer 3211 includes aluminum oxide, and the average structural height of the nanostructure layer 3211 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. The structural connection layer 3212 is disposed between the optical surface 323 and the nanostructure layer 3211. The structural connection layer 3212 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 3212. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers.

As shown in FIG. 3 , the optical lens assembly 300 may further include a bonded lens. Specifically, in the third embodiment, the glass lenses 320 and 390 and the lenses 330, 340, 350, 360, 370, and 380 are all bonded lenses, where the image-side surface of the glass lens 320 is bonded to the object-side surface of the lens 330. The image-side surface of lens 340 is bonded to the object-side surface of lens 350 , the image-side surface of lens 360 is bonded to the object-side surface of lens 370 , the image-side surface of lens 370 is bonded to the object-side surface of lens 380 , and the image-side surface of lens 380 is bonded to the object-side surface of lens 370 . The surface is bonded to the object-side surface of glass lens 390 .

As shown in Figure 3, the lens barrel includes a front cover 311 and a barrel 312. The front cover 311 covers the barrel 312, and the front cover 311 is in contact with the glass lens 320. The glass lenses 320, 390 and lenses 330, 340, 350, 360, 370, 380 are accommodated in the barrel 312 and are all connected with the barrel. 312 contacts. In addition, other optical components can be installed in the lens barrel according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

In the third embodiment, _the distance along the optical axis The distance from the optical surface of the glass lens 390 (the object-side surface of the _glass lens 390) to the second side surface along the optical axis The distance of an imaging plane along the optical axis X is TL, and the parameters satisfy the conditions in Table 9 below. Table 9, third embodiment D _S1SL (mm) 27.19 _DSoSL (mm) 5.2 D _SoSL /D _S1SL 0.191 TL(mm) 30.01

Furthermore, as for the glass lens 320 in the third embodiment, the glass lens 320 has a first average linear expansion coefficient α ₁ and a relative refractive index temperature coefficient dn in the temperature range -30 ^° C to 70 ^° C. /dt, the structural connection layer 3212 of the anti-reflection film layer 321 of the glass lens 320 and a structural connection layer of the anti-reflection film layer 322 both have a second average linear expansion coefficient α in the temperature range of -30 ^o C to 70 ^o C. ₂ , and the parameters meet the conditions in Table 10 below. Table 10. Glass lens 320 of the third embodiment α ₁ (10 ^-7 /K) 58 dn/dt(10 ^-6 /K) 8.1~8.8 Anti-reflective coating 321 Anti-reflective coating 322 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 8.9 α ₁ / α ₂ 8.9

As for the glass lens 390 in the third embodiment, the average structural height of the nanostructure layer of the anti-reflective film layer 391 is greater than or equal to 80 nanometers and less than or equal to 350 nanometers, and the structural connection layer of the anti-reflective film layer 391 is The thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers. The glass lens 390 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. The structure of the anti-reflection film layer 391 of the glass lens 390 The connection layer has a second average linear expansion coefficient α ₂ in the temperature range of -30 ^o C to 70 ^o C, and the parameters satisfy the conditions of Table 11 below. Table 11. Glass lens 390 of the third embodiment α ₁ (10 ^-7 /K) 62 α ₂ (10 ^-7 /K) 6.5 dn/dt(10 ^-6 /K) 2.2~2.6 α ₁ / α ₂ 9.5

<Fourth Embodiment>

Please refer to FIG. 4 , which illustrates a schematic diagram of an optical lens assembly 400 of an optical module according to a fourth embodiment of the present disclosure. As shown in Figure 4, the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 400. An optical axis X passes through the optical lens assembly 400, and the optical lens assembly 400 includes a lens barrel (not shown) and at least three lenses. At least three lenses are arranged in the lens barrel, and in sequence from the object side to the image side are lenses 420, 430, glass lens 440, and lenses 450, 460, 470, 480, and 490. The glass lens 440 is larger than the lenses 450, 460, 470, 480 and 490 are close to the light source. The lenses 420, 430, 450, 460, 470, 480, 490 and the glass lens 440 all have refractive power, and the optical surfaces of the lenses 420, 430, 450, 460, 470, 480, 490 and the glass lens 440 are non-planar.

Furthermore, anti-reflection film layers 441 and 442 are formed on the optical surface of the glass lens 440 (ie, both surfaces of the glass lens 440). Taking the anti-reflective film layer 441 of the glass lens 440 as an example, the anti-reflective film layer 441 of the glass lens 440 is formed on the optical surface 443 of the glass lens 440 and includes a nanostructure layer 4411 and a structural connection layer 4412. The nanostructure layer 4411 has a plurality of ridge-shaped protrusions extending in a non-directional direction from the optical surface 443. The material of the nanostructure layer 4411 includes aluminum oxide, and the average structural height of the nanostructure layer 4411 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. The structural connection layer 4412 is disposed between the optical surface 443 and the nanostructure layer 4411. The structural connection layer 4412 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 4412. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers.

As shown in FIG. 4 , the optical lens assembly 400 may further include a bonded lens. Specifically, in the fourth embodiment, the lenses 450 and 460 are bonded lenses, and the image-side surface of the lens 450 is bonded to the object-side surface of the lens 460 .

As shown in Figure 4, the lens barrel includes a front cover 411 and a barrel 412. The front cover 411 covers the barrel 412, and the front cover 411 is in contact with the lens 420. The glass lenses 420, 440 and lenses 430, 450, 460, 470, 480, 490 are accommodated in the barrel 412 and are all in contact with the barrel 412. . In addition, other optical components can be installed in the lens barrel according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

In the fourth embodiment, the distance along the _optical axis The distance from the optical surface of 440 (the image side surface of the glass lens 440) to _the second side surface along the optical axis The distance along the optical axis X is TL, and the parameters satisfy the conditions of Table 12 below. Table 12, fourth embodiment D _S1SL (mm) 22.8 _DSoSL (mm) 12.15 D _SoSL /D _S1SL 0.533 TL(mm) 26.05

Furthermore, the glass lens 440 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. The anti-reflection film layer 441 of the glass lens The structural connection layer 4412 and a structural connection layer of the anti-reflective film layer 442 both have a second average linear expansion coefficient α ₂ in the temperature range of -30 ^o C to 70 ^o C, and the parameters satisfy the conditions of Table 13 below. . Table 13. Glass lens 440 of the fourth embodiment α ₁ (10 ^-7 /K) 88 dn/dt(10 ^-6 /K) -0.1~1.0 Anti-reflective coating 441 Anti-reflective coating 442 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 13.5 α ₁ / α ₂ 13.5

<Fifth Embodiment>

Please refer to FIG. 5 , which illustrates a schematic diagram of an optical lens assembly 500 of an optical module according to a fifth embodiment of the present disclosure. As shown in FIG. 5 , the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 500 . An optical axis X passes through the optical lens assembly 500, and the optical lens assembly 500 includes a lens barrel 510 and at least three lenses. At least three lenses are arranged in the lens barrel 510, and in order from the object side to the image side are the glass lens 520 and the lenses 530, 540, 550, 560, 570, where the glass lens 520 is arranged on the first side of the optical lens group 500, The lenses 530, 540, 550, 560, and 570 are all plastic lenses, and are arranged at an image side end of the glass lens 520 along the optical axis X. The glass lens 520 is closer to the light source than the lenses 530, 540, 550, 560, and 570. The glass lens 520 and the lenses 530, 540, 550, 560, and 570 all have refractive power, and the optical surfaces of the glass lens 520 and the lenses 530, 540, 550, 560, and 570 are non-planar.

Furthermore, anti-reflection film layers 521 and 522 are formed on the optical surface of the glass lens 520 . Taking the anti-reflective film layer 521 of the glass lens 520 as an example, the anti-reflective film layer 521 of the glass lens 520 is formed on the optical surface 523 of the glass lens 520 and includes a nanostructure layer 5211 and a structural connection layer 5212. The nanostructure layer 5211 has a plurality of ridge-shaped protrusions extending non-directionally from the optical surface 523. The material of the nanostructure layer 5211 includes aluminum oxide, and the average structural height of the nanostructure layer 5211 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. The structural connection layer 5212 is disposed between the optical surface 523 and the nanostructure layer 5211. The structural connection layer 5212 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 5212. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers.

As shown in FIG. 5 , the optical lens assembly 500 may further include a bonded lens. Specifically, in the fifth embodiment, the lenses 560 and 570 are bonded lenses, and the image-side surface of the lens 560 is bonded to the object-side surface of the lens 570 .

In addition, the lens barrel 510 can be provided with other optical elements according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

In the fifth embodiment, _the distance along the optical axis The distance from the optical surface of the lens 520 (the image side surface _of the glass lens 520) to the second side surface along the optical axis The distance of the imaging plane along the optical axis X is TL, and the parameters satisfy the conditions in Table 14 below. Table 14, fifth embodiment D _S1SL (mm) 8.06 _DSoSL (mm) 7.16 D _SoSL /D _S1SL 0.888 TL(mm) 10

Furthermore, the glass lens 520 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. The anti-reflective film layer 521 of the glass lens 520 The structural connection layer 5212 and a structural connection layer of the anti-reflection film layer 522 both have a second average linear expansion coefficient α ₂ in the temperature range -30 ^o C to 70 ^o C, and the parameters satisfy the following Table 15 condition. Table 15. Glass lens 520 of the fifth embodiment α ₁ (10 ^-7 /K) 72 dn/dt(10 ^-6 /K) 2.4~2.9 Anti-reflective coating 521 Anti-reflective coating 522 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 11.1 α ₁ / α ₂ 11.1

Furthermore, the first lens on the first side of the optical lens group 500 is the most sensitive to temperature effects. Therefore, when the glass lens 520 is a glass lens with a low expansion coefficient α ₁ , the optical lens group 500 can be made to change after a temperature change. Maintain stability and maintain the functions of the anti-reflective coating layers 521 and 522 (film thickness, adhesion, film integrity, cut-off wavelength). At the same time, the optical lens can be used with a plastic lens to increase design freedom, increase production efficiency and reduce production costs.

<Sixth Embodiment>

Please refer to FIG. 6 , which illustrates a schematic diagram of an optical lens assembly 600 of an optical module according to a sixth embodiment of the present disclosure. As shown in FIG. 6 , the optical module (not shown in the figure) includes a light source (not shown in the figure) and an optical lens assembly 600 . An optical axis X passes through the optical lens assembly 600, and the optical lens assembly 600 includes a lens barrel 610 and at least three lenses. At least three lenses are arranged in the lens barrel 610, and in order from the object side to the image side are lenses 620, 630, glass lens 640 and lenses 650, 660, 670, wherein the glass lens 640 is closer to the light source than the lenses 650, 660, 670. . The lenses 620, 630, 650, 660, 670 and the glass lens 640 all have refractive power, and the optical surfaces of the lenses 620, 630, 650, 660, 670 and the glass lens 640 are non-planar.

Furthermore, anti-reflection film layers 641 and 642 are formed on the optical surface of the glass lens 640 . Taking the anti-reflective film layer 641 of the glass lens 640 as an example, the anti-reflective film layer 641 of the glass lens 640 is formed on the optical surface 643 of the glass lens 640 and includes a nanostructure layer 6411 and a structural connection layer 6412. The nanostructure layer 6411 has a plurality of ridge-shaped protrusions extending in a non-directional direction from the optical surface 643. The material of the nanostructure layer 6411 includes aluminum oxide, and the average structural height of the nanostructure layer 6411 is greater than or equal to 80 nanometers and less than Equal to 350 nanometers. The structural connection layer 6412 is disposed between the optical surface 643 and the nanostructure layer 6411. The structural connection layer 6412 includes at least one silicon dioxide film layer (not shown), one of the silicon dioxide film layer and the nanostructure layer 6412. The bottom is in physical contact, and the thickness of the silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers.

Specifically, the lens barrel 610 can be provided with other optical elements according to requirements, such as light shielding sheets, spacer rings, fixed rings, etc., which will not be described again here.

In the sixth embodiment, the distance along the _optical axis The distance from the optical surface of 640 (the image side surface of the glass lens 640) to _the second side surface along the optical axis The distance along the optical axis X is TL, and the parameters satisfy the conditions of Table 16 below. Table 16, Sixth Embodiment D _S1SL (mm) 13 _DSoSL (mm) 5.83 D _SoSL /D _S1SL 0.449 TL(mm) 19.15

Furthermore, the glass lens 640 has a first average linear expansion coefficient α ₁ and a temperature coefficient of relative refractive index dn/dt in the temperature range of -30 ^o C to 70 ^o C. The anti-reflective film layer 641 of the glass lens 640 The structural connection layer 6412 and a structural connection layer of the anti-reflective film layer 642 both have a second average linear expansion coefficient α ₂ in the temperature range -30 ^o C to 70 ^o C, and the parameters satisfy the following Table 17 condition. Table 17. Glass lens 640 of the sixth embodiment α ₁ (10 ^-7 /K) 92 dn/dt(10 ^-6 /K) -2.1~-1.7 Anti-reflective coating 641 Anti-reflective coating 642 α ₂ (10 ^-7 /K) 6.5 α ₂ (10 ^-7 /K) 6.5 α ₁ / α ₂ 14.2 α ₁ / α ₂ 14.2

<Seventh Embodiment>

Please refer to Figures 7A to 7D. Figure 7A illustrates a schematic diagram of a vehicle tool 70 according to a seventh embodiment of the present disclosure. Figure 7B illustrates an upper surface of a vehicle tool 70 according to the seventh embodiment of the present disclosure. View, Figure 7C shows another schematic diagram of the vehicle tool 70 according to the seventh embodiment of Figure 7A. As shown in Figures 7A to 7C, the vehicle tool 70 includes a plurality of optical modules 71. As can be seen from Figures 7B and 7C, the number of optical modules 71 in the seventh embodiment is six, but this disclosure does not Subject to the above quantity. The six optical modules 71 are respectively disposed below the left rear view mirror of the vehicle tool 70 , below the right rear view mirror, at the front of the vehicle tool 70 , at the interior rearview mirror of the vehicle tool 70 , and at the interior rear window of the vehicle tool 70 and the rear of the vehicle tool 70 . The optical module 71 may be any one of the aforementioned first to sixth embodiments, but the present disclosure is not limited thereto.

In the seventh embodiment, each optical module 71 is used to capture image information at a viewing angle θ. Specifically, the viewing angle θ can satisfy the following conditions: 40 degrees < θ < 190 degrees. In this way, a specific range of image information can be captured. It is worth mentioning that the angle of view θ of each optical module 71 can be different to meet different imaging requirements.

As can be seen from Figure 7C, the configuration of the optical module 71 helps the driver to obtain the external space information S1, S2, S3, and S4 outside the cockpit. Specifically, the optical module 71 provided at the front of the vehicle tool 70 is used to obtain the external space information S1, and the optical modules 71 provided below the left rear view mirror and the right rear view mirror are respectively used to obtain the external space information S2. , S4, the optical module 71 provided at the rear of the vehicle is used to obtain the external space information S3, but the disclosure is not limited to this. This provides more viewing angles to reduce blind spots, thereby helping to improve driving safety.

Figure 7D is a schematic diagram of the internal space of the vehicle tool 70 according to the seventh embodiment of Figure 7A. As shown in Figure 7D, the optical module 71 provided in the interior rearview mirror of the vehicle can be used to obtain the interior space information S5. Generally speaking, when conventional vehicle tools are parked and exposed to the scorching sun, the high temperature inside the vehicle will cause temperature drift in the optical module and even damage the optical module, thus affecting driving safety. By configuring a glass lens with a low expansion coefficient and an anti-reflective coating layer, the optical module 71 of the present disclosure can still maintain stability and maintain imaging quality in an environment with severe temperature changes.

<Eighth Embodiment>

Please refer to Figure 8A, Figure 8B and Figure 8C. Figure 8A illustrates a schematic diagram of a head-mounted device 80 according to the eighth embodiment of the present disclosure, and Figure 8B illustrates another head-mounted device 80 according to the eighth embodiment of the present disclosure. A schematic diagram of a head mounted device 800 in one aspect. Figure 8C shows another schematic diagram of the head mounted device 800 according to the eighth embodiment of Figure 8B. As shown in FIG. 8A , the head-mounted device 80 may be a VR device and include a plurality of optical modules (not shown). The optical module may be any one of the aforementioned first to sixth embodiments, but the present disclosure is not limited thereto.

Please refer to Figure 8D, which illustrates a schematic diagram of the optical module according to the eighth embodiment of Figure 8B. As shown in Figures 8B, 8C and 8D, the head-mounted device 800 may be an AR device and include a plurality of optical modules (not shown), and each optical module includes a light source 810 and an optical lens. Group 820. An optical axis X passes through the optical lens group 820. The optical lens assembly 820 includes a glass lens 821, and the glass lens 821 has refractive power. An optical surface of the glass lens 821 is non-planar, and an anti-reflective film layer 8211 is formed on the optical surface. Specifically, the anti-reflective film layer 8211 may include a nanostructure layer and a structural connection layer. The nanostructure layer and the structural connection layer may be as described in the first to sixth embodiments, which will not be described again here. Furthermore, the optical lens assembly 820 may further include the lenses and other optical elements of the first to sixth embodiments, but the present disclosure is not limited thereto.

In the eighth embodiment, the glass lens 821 may be an array lens. The light source 810 may be a plurality of display elements arranged in an array. Specifically, the array form of the light source 810 can be the same as the array form of the glass lens 821, but the present disclosure is not limited thereto.

Please refer to Figure 8E and Figure 8F together. Figure 8E illustrates a usage diagram of the head-mounted device 800 according to the eighth embodiment of Figure 8B. Figure 8F illustrates a usage diagram of the head-mounted device 800 according to the eighth embodiment of Figure 8B. A schematic diagram of the use of device 800 in another aspect. As shown in FIG. 8E, the optical module may further include an image transmission module 830, which is disposed at at least one of an object-side end and an image-side end of the optical lens group 820. In the eighth embodiment, the image transmission module 830 may be a waveguide module and is disposed at the image side end of the optical lens group 820 . As shown in Figure 8F, the image transmission module 830 can be an optical path turning element 840, and is disposed at the image side end of the optical lens group 820. Through the configuration of the image transmission module, the optical path of the imaging light L from the light source 810 can be turned and transmitted to the user's eyes.

Although the present disclosure has been disclosed in the form of embodiments, it is not intended to limit the disclosure. Anyone with ordinary knowledge in the technical field may make slight changes and modifications without departing from the spirit and scope of the disclosure. Therefore, the scope of protection of this disclosure shall be subject to the scope of the attached patent application.

100,200,300,400,500,600,820: Optical lens group 111,211,311,411: Front cover 112,212,312,412: Barrel 120,130,150,220,240,320,390,440,520,640,821: Glass lens 121,12 2,131,132,151,152,221,241,242,321,322,391,441,442,521,522,641,642,8211: Anti-reflective coating layer 140,160,170,230,250,260,270,330,340,350,360,370, 380,420,430,450,460,470,480,490,530,540,550,560,570,620,630,650,660,670: Lens 153,243,323,443,523,643: Optical surface 1521,2411,3211,4411,521 1,6411: Nanostructure layer 1522, 2412, 3212, 4412, 5212, 6412: Structural connection layer 510, 610: Lens tube 70: Vehicle tools 71: Optical module 80, 800: Head mounted device 810: Light source 830: Image transmission module 840: Optical path turning element D _S1SL : No. The distance along the optical axis from one side surface to the second side surface D _SoSL : The distance along the optical axis from the optical surface to the second side surface H1: The structural height of the nanostructure layer H2: The thickness of the silicon dioxide film layer L: Imaging light N4R1, N4R2, G4R1, G4R2: reflectance S1, S2, S3, S4: external space information S5: internal space information TL: distance from the object side surface of the first side lens to the imaging surface X: optical axis θ: viewing angle

Figure 1A is a schematic diagram of an optical lens assembly of an optical module according to the first embodiment of the present disclosure; Figure 1B shows a schematic diagram of the glass lens according to the first embodiment of Figure 1A; Figure 1C shows a schematic cross-sectional view under an electron microscope of the anti-reflective coating layer on the optical surface of the glass lens according to the first embodiment of Figure 1B; Figure 1D is a schematic diagram showing the reflectivity parameters of the glass lens without an anti-reflective coating layer according to the first embodiment of Figure 1B; Figure 1E is a schematic diagram showing the reflectivity parameters of a glass lens with an anti-reflective coating layer according to the first embodiment of Figure 1B; Figure 2 is a schematic diagram of an optical lens assembly of an optical module according to the second embodiment of the present disclosure; Figure 3 is a schematic diagram of an optical lens assembly of an optical module according to the third embodiment of the present disclosure; Figure 4 is a schematic diagram of an optical lens assembly of an optical module according to the fourth embodiment of the present disclosure; Figure 5 is a schematic diagram of an optical lens assembly of an optical module according to the fifth embodiment of the present disclosure; Figure 6 is a schematic diagram of an optical lens assembly of an optical module according to the sixth embodiment of the present disclosure; Figure 7A is a schematic diagram of a vehicle tool according to a seventh embodiment of the present disclosure; Figure 7B shows a top view of the vehicle tool according to the seventh embodiment of Figure 7A; Figure 7C shows another schematic diagram of the vehicle tool according to the seventh embodiment of Figure 7A; Figure 7D is a schematic diagram of the internal space of the vehicle tool according to the seventh embodiment of Figure 7A; Figure 8A shows a schematic diagram of a head-mounted device according to an eighth embodiment of the present disclosure; Figure 8B is a schematic diagram of another aspect of the head-mounted device according to the eighth embodiment of the present disclosure; Figure 8C shows another schematic diagram of the head-mounted device according to the eighth embodiment of Figure 8B; Figure 8D shows a schematic diagram of the optical module according to the eighth embodiment of Figure 8B; Figure 8E illustrates a usage diagram of the head-mounted device according to the eighth embodiment of Figure 8B; and Figure 8F illustrates another usage diagram of the head-mounted device according to the eighth embodiment of Figure 8B.

100: Optical lens group

111:Front cover

112:Cylinder

120,130,150: glass lens

121,122,131,132,151,152: anti-reflective coating

140,160,170: Lens

D _S1SL : Distance from the first side surface to the second side surface along the optical axis

D _SoSL : distance from the optical surface to the second side surface along the optical axis

TL: The distance from the object side surface of the first side lens to the imaging surface

X: optical axis

Claims (31)

An optical lens group through which an optical axis passes, including: a glass lens with refractive power, an optical surface of the glass lens that is non-planar, an anti-reflective film layer formed on the optical surface, and the anti-reflective film layer The film layer includes: a nanostructure layer having a plurality of ridge-like protrusions extending in a non-directional direction from the optical surface; the material of the nanostructure layer includes aluminum oxide; and a structural connection layer, the A structural connection layer is provided between the optical surface and the nanostructure layer, the structural connection layer includes at least one silicon dioxide film layer, and the at least one silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, And the thickness of the at least one silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers; wherein the structural connection layer is partially exposed to the air; wherein the glass lens is in the temperature range -30°C to 70°C, It has a first average linear expansion coefficient α ₁ which satisfies the following conditions: 12×10 ^-7 /K<α ₁ <210×10 ^-7 /K. The optical lens set of claim 1, wherein the ridge-shaped protrusions are wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers. The optical lens set according to claim 1, wherein the distance from a first side surface to a second side surface in the optical lens set along the optical axis is D _S1SL , and the distance from the optical surface to the second side surface along the optical axis is D S1SL . The distance between the axes is D _SoSL , which satisfies the following conditions: 0.12

D _SoSL /D _S1SL <0.985. The optical lens set as described in claim 1, wherein the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400nm to 780nm is R _abs , which meets the following conditions: 0%

R _abs

1.0%. The optical lens assembly as described in claim 4, wherein the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which meets the following conditions: 0%

R _avg

0.5%. The optical lens assembly as described in claim 1, wherein the glass lens has the first average linear expansion coefficient α 1 in the temperature range of -30°C to 70°C, and the structural connection layer has the first average linear expansion coefficient α ₁ in the temperature range of -30°C to 70°C. It has a second average linear expansion coefficient α ₂ which satisfies the following conditions: 0.2<α ₁ /α ₂ <41. The optical lens assembly as described in claim 1, wherein the glass lens has a temperature coefficient of relative refractive index dn/dt in the temperature range -30°C to 70°C, which meets the following conditions: 0.1×10 ^-6 /°C

｜dn/dt｜

17× ^10-6 /℃. The optical lens assembly of claim 1, wherein the optical surface has an inflection point. The optical lens set according to claim 1, wherein the distance from an object-side surface of a first-side lens of the optical lens set to an imaging plane along the optical axis is TL, which satisfies the following conditions: 8mm

T.L. The optical lens set of claim 1, wherein the glass lens is disposed on the first side of the optical lens set, and the optical lens set further includes a plastic lens disposed on an image side end of the glass lens along the optical axis. . The optical lens assembly as claimed in claim 1 further includes a bonded lens. The optical lens group as claimed in claim 1, further comprising: at least one optical path turning element disposed at at least one of an object-side end and an image-side end of the optical lens group. An optical module, including: a light source; and an optical lens group, an optical axis passing through the optical lens group, including: at least three lenses, at least one of the at least three lenses is a glass lens, wherein the at least one glass lens The lens has refractive power, and the at least one glass lens is closer to the light source than the other at least two lenses. An optical surface of the at least one glass lens is non-planar. An anti-reflective film layer is formed on the optical surface. The anti-reflective film The layer includes: a nanostructure layer having a plurality of ridge-like protrusions extending non-directionally from the optical surface, the material of the nanostructure layer including aluminum oxide; and a structural connection layer, the structure The connection layer is disposed between the optical surface and the nanostructure layer, the structural connection layer includes at least one silicon dioxide film layer, the at least one silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and The thickness of the at least one silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers; wherein the structural connection layer is partially exposed to the air; wherein the glass lens has a temperature range of -30°C to 70°C. -The first average linear expansion coefficient α ₁ , which satisfies the following conditions: 12×10 ^-7 /K<α ₁ <210×10 ^-7 /K. The optical module of claim 13, wherein the ridge-shaped protrusions are wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers. The optical module according to claim 13, wherein the distance from a first side surface to a second side surface in the optical lens group along the optical axis is D _S1SL , and the distance from the optical surface to the second side surface along the optical axis is D S1SL . The distance of the optical axis is D _SoSL , which satisfies the following conditions: 0.12

D _SoSL /D _S1SL <0.985. The optical module of claim 13, wherein the at least one glass lens is an array lens. The optical module as described in claim 13, wherein the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400nm to 780nm is R _abs , which satisfies the following conditions: 0%

R _abs

1.0%. The optical module as described in claim 17, wherein the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which meets the following conditions: 0%

R _avg

0.5%. The optical module as described in claim 13, wherein the glass lens has the first average linear expansion coefficient α 1 in the temperature range of -30°C to 70°C, and the structural connection layer has the first average linear expansion coefficient α ₁ in the temperature range of -30°C to 70°C. It has a second average linear expansion coefficient α ₂ which satisfies the following conditions: 0.2<α ₁ /α ₂ <41. The optical module as claimed in claim 13, wherein the optical The lens group further includes: at least one optical path turning element, which is disposed at at least one end of an object-side end and an image-side end of the optical lens group. The optical module as claimed in claim 13, wherein the light source is a plurality of display elements arranged in an array. An optical module, including: a light source; and an optical lens group, an optical axis passing through the optical lens group, including: at least three lenses, at least one of the at least three lenses is a glass lens, wherein the at least one glass lens The lens has refractive power, and the at least one glass lens is closer to the light source than the other at least two lenses. An optical surface of the at least one glass lens is non-planar. An anti-reflective film layer is formed on the optical surface. The anti-reflective film The layer includes: a nanostructure layer having a plurality of ridge-like protrusions extending non-directionally from the optical surface, the material of the nanostructure layer including aluminum oxide; and a structural connection layer, the structure The connection layer is disposed between the optical surface and the nanostructure layer, the structural connection layer includes at least one silicon dioxide film layer, the at least one silicon dioxide film layer is in physical contact with a bottom of the nanostructure layer, and The thickness of the at least one silicon dioxide film layer is greater than or equal to 20 nanometers and less than or equal to 150 nanometers; wherein the structural connection layer is partially exposed to the air; wherein the maximum effective radius of the optical surface is Y, and the optical surface is There is a maximum displacement SAG _glass parallel to the optical axis from the intersection point of the optical axis to the maximum effective radius position of the optical surface. The glass lens has a first average linear expansion coefficient α ₁ in the temperature range of -30°C to 70°C, which Meet the following conditions: 0.01

SAG _glass /Y

0.99; and 12×10 ^-7 /K<α ₁ <210×10 ^-7 /K. The optical module as claimed in claim 22, wherein the ridge-shaped protrusions are wide at the bottom and narrow at the top, and the average structural height of the nanostructure layer is greater than or equal to 80 nanometers and less than or equal to 350 nanometers. The optical module of claim 22, wherein the at least one glass lens is an array lens. The optical module as described in claim 22, wherein the maximum reflectivity of the optical surface of the glass lens corresponding to the light wavelength of 400nm to 780nm is R _abs , which satisfies the following conditions: 0%

R _abs

1.0%. The optical module as described in claim 25, wherein the optical surface of the glass lens has an average reflectance R _avg corresponding to the light wavelength of 400 nm to 780 nm, which meets the following conditions: 0%

R _avg

0.5%. The optical module as described in claim 22, wherein the glass lens has the first average linear expansion coefficient α 1 in the temperature range of -30°C to 70°C, and the structural connection layer has the first average linear expansion coefficient α ₁ in the temperature range of -30°C to 70°C. It has a second average linear expansion coefficient α ₂ which satisfies the following conditions: 0.2<α ₁ /α ₂ <41. The optical module as described in claim 22, wherein the intersection point of the optical surface and the optical axis to the maximum effective radius position of the optical surface has a maximum displacement SAG _glass parallel to the optical axis, which meets the following conditions: 90 μm

SAG _glass . The optical module of claim 28, wherein the optical surface has an inflection point. The optical module of claim 22, wherein the optical lens group further includes: at least one optical path turning element disposed on at least one of an object-side end and an image-side end of the optical lens group. The optical module of claim 22, wherein the light source is a plurality of display elements arranged in an array.

Images