CN106814577B - Complex amplitude holographic modulation method and system based on linear micro-nano structure - Google Patents

Complex amplitude holographic modulation method and system based on linear micro-nano structure Download PDF

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CN106814577B
CN106814577B CN201611220797.1A CN201611220797A CN106814577B CN 106814577 B CN106814577 B CN 106814577B CN 201611220797 A CN201611220797 A CN 201611220797A CN 106814577 B CN106814577 B CN 106814577B
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complex amplitude
modulation
phase modulation
phase
modulation unit
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CN106814577A (en
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刘娟
韩遇
李昕
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Beijing Institute of Technology BIT
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Beijing Institute of Technology BIT
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    • GPHYSICS
    • G03PHOTOGRAPHY; CINEMATOGRAPHY; ANALOGOUS TECHNIQUES USING WAVES OTHER THAN OPTICAL WAVES; ELECTROGRAPHY; HOLOGRAPHY
    • G03HHOLOGRAPHIC PROCESSES OR APPARATUS
    • G03H1/00Holographic processes or apparatus using light, infrared or ultraviolet waves for obtaining holograms or for obtaining an image from them; Details peculiar thereto
    • G03H1/04Processes or apparatus for producing holograms
    • G03H1/08Synthesising holograms, i.e. holograms synthesized from objects or objects from holograms
    • G03H1/0841Encoding method mapping the synthesized field into a restricted set of values representative of the modulator parameters, e.g. detour phase coding

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  • General Physics & Mathematics (AREA)
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Abstract

The present invention provides a kind of complex amplitude holographic modulation method and system of linear micro-nano structure.The method includes S1, are a complex amplitude modulation unit by the every two Spatial transmission dividing elements of linear micro-nano structure;S2 is based on the complex amplitude modulation unit, carries out phase coding to each Spatial transmission unit, to carry out complex amplitude coded modulation to incident light, obtains complex amplitude hologram.The Spatial transmission unit of linear micro-nano structure is carried out combination of two and is divided into a complex amplitude modulation unit by the present invention, Spatial transmission is carried out by each Spatial transmission unit to the complex amplitude modulation unit, can amplitude to incident light and phase information carry out independent modulation, obtain complex amplitude hologram image.

Description

Complex amplitude holographic modulation method and system based on linear micro-nano structure
Technical Field
The invention relates to the technical field of holography, in particular to a complex amplitude holographic modulation method and system based on a linear micro-nano structure.
Background
At present, an important research direction in the computer-generated holography technology is to use a super surface (metasface) formed by a micro-nano structure to realize holographic image display. Similar to a conventional spatial light modulator, the sub-wavelength spatial light modulator modulates incident light by arranging different modulation units. The realization of holographic display by using a super surface (metasurfacce) composed of linear micro-nano structures as a sub-wavelength spatial light modulator is a hot direction of the holographic technology. The hologram is encoded by setting different linear micro-nano structure units, such as sub-wavelength nano rods, split rings and the like, so that complex amplitude modulation of incident light can be realized.
Since the modulation unit needs to perform complex amplitude modulation on the incident light, that is, the phase modulation and the amplitude modulation of the incident light need to be independent of each other, at least two parameters need to be introduced into one modulation unit at the same time to meet the modulation requirement, for example, for a nanoscale open ring, the amplitude and the phase can be modulated by the size and the opening direction of the opening of the ring. However, because the two parameters have errors in practice, more data are introduced in practical application, the practical operation difficulty is increased, and the practical processing is not facilitated. The use of the phase modulation means can reduce the required parameters and the processing cost, but only the phase information of the incident light can be modulated, and complex amplitude modulation of the incident light cannot be realized.
Disclosure of Invention
The present invention provides a method and system for linear micro-nano structure based complex amplitude holographic modulation that overcomes or at least partially solves the above mentioned problems.
According to one aspect of the invention, a complex amplitude holographic modulation method of a linear micro-nano structure is provided, which comprises the following steps:
s1, dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and S2, performing phase coding on each phase modulation unit based on the complex amplitude modulation units so as to perform complex amplitude coding modulation on incident light, and obtaining a complex amplitude hologram.
Further, the S1 further includes: and dividing two adjacent phase modulation units into a complex amplitude modulation unit.
Further, the S2 further includes:
s2.1, adjusting specific parameters of the phase modulation unit to realize phase coding;
and S2.1, overlapping the emergent light of the two phase modulation units after the incident light is respectively coded to obtain a complex amplitude hologram.
Specifically, the linear micro-nano structure is formed by any one of a circular antenna structure, a V-shaped antenna structure and a metal rod antenna structure in a piece; each phase modulation unit comprises one of the linear micro-nano structures.
Specifically, the specific parameter is a structural parameter of the linear micro-nano structure.
Specifically, the phase modulation is realized by setting the same thickness and length of the metal rod antenna based on the metal rod antenna phase modulation unit and adjusting the placement angle of the metal rod antenna.
Specifically, based on the circular antenna phase modulation unit, the same opening size and the same inner and outer radii of the circular antenna are set, and the opening direction of the circular antenna is adjusted to realize phase modulation.
Specifically, based on the V-shaped antenna phase modulation unit, the same thickness length and the same field angle size of the V-shaped antenna are set, and the field angle direction of the V-shaped antenna is adjusted to realize phase modulation.
According to another aspect of the present invention, there is provided a complex amplitude holographic modulation system of a linear micro-nano structure, comprising:
the modulation unit dividing module is used for dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and the complex amplitude modulation module is used for carrying out phase coding on each phase modulation unit based on the complex amplitude modulation unit so as to carry out complex amplitude coding modulation on incident light and obtain a complex amplitude hologram.
According to the complex amplitude holographic modulation method of the linear micro-nano structure, the phase modulation units of the linear micro-nano structure are combined into one complex amplitude modulation unit in pairs, each phase modulation unit of the complex amplitude modulation unit is subjected to phase modulation, so that the amplitude and phase information of incident light can be independently modulated, and a complex amplitude holographic image is obtained.
Drawings
FIG. 1 is a flow chart of a complex amplitude holographic modulation method of a linear micro-nano structure according to the invention;
FIG. 2 is a schematic diagram of an embodiment of a linear micro-nano structure according to the present invention;
FIG. 3 is a schematic representation of a reproduction of a complex amplitude hologram according to the present invention;
fig. 4 is a schematic diagram of a complex amplitude holographic modulation system of a linear micro-nano structure.
Description of the reference numerals
1. Linear micro-nano structure, 11, phase modulation unit, 12, one complex amplitude modulation unit composed of two phase modulation units, 2, incident light, 3, complex amplitude hologram.
Detailed Description
The following detailed description of embodiments of the present invention is provided in connection with the accompanying drawings and examples. The following examples are intended to illustrate the invention but are not intended to limit the scope of the invention.
As shown in fig. 1, a complex amplitude holographic modulation method of a linear micro-nano structure includes:
s1, dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and S2, performing phase coding on each phase modulation unit based on the complex amplitude modulation units so as to perform complex amplitude coding modulation on incident light, and obtaining a complex amplitude hologram.
The phase modulation units of the linear micro-nano structure are combined into a complex amplitude modulation unit in pairs, and the amplitude and phase information of incident light can be independently modulated by phase modulation of each phase modulation unit of the complex amplitude modulation unit, so that a complex amplitude hologram image is obtained.
As an alternative embodiment, the S1 further includes: and dividing two adjacent phase modulation units into a complex amplitude modulation unit.
As shown in fig. 2, which is a schematic view of an embodiment of the linear micro-nano structure of the present invention, in this embodiment, the linear micro-nano structure 1 is composed of nanoscale metal rods, each metal rod is used as a phase modulation unit 11, and two phase modulation units 11 constitute a complex amplitude modulation unit 12. The phase modulation means 11 modulates the phase and amplitude of incident light by modulating the thickness and direction of the metal rod, thereby realizing holographic modulation.
In fig. 2, a first portion in which the phase modulation cells 11 and the complex amplitude modulation cells 12 are marked is an enlarged view of a second portion in which the linear micro-nano structure 1 is marked, the first portion includes 30 phase modulation cells 11, which are 5 × 6, and two adjacent phase modulation cells 11 are divided into one complex amplitude modulation cell 12. Two phase modulation sections 11 are combined into one complex amplitude modulation section 12, and each phase modulation section 11 is phase-coded in the complex amplitude modulation section 12 to realize complex amplitude modulation of incident light, thereby obtaining a complex amplitude hologram.
The complex amplitude coded modulation may be represented as cos a exp (jB), which represents that the phase and amplitude of incident light are independently modulated, respectively, to obtain complex amplitude outgoing light. The complex amplitude coded modulation in S2 is realized by two phase modulation units such that:
cos A is amplitude information of emergent light, the value of the cos A is 0-1, and the value range of the cos A is 0-2 pi; exp (jB) represents phase information of emergent light, and the value range of B is 0-2 pi.
It can be seen from the derivation of the above formula that the amplitude information and the phase information of the arbitrary target outgoing light cos (a) exp (jb) can be finally expressed as the result of adding two phase information, that is
The two phase modulation results can be obtained by phase modulating the incident light by the combination of two modulation units, wherein the amplitude of the incident light becomes 1/2 after passing through the modulation units, and the phase information becomes exp [ j (B + a) ] and exp [ j (B-a) ] respectively.
Since each phase modulation unit 11 of the linear micro-nano structure 1 can independently perform phase modulation, in specific implementation, the two phase modulation units 11 can respectively perform phase-modulated emergent light superposition, so as to obtain complex amplitude emergent light, and realize reproduction of complex amplitude hologram images, thereby avoiding the problems of large data volume, increased processing operation difficulty and large errors caused by the need of setting two parameters for modulation units for modulation.
As an alternative embodiment, the S2 further includes:
s2.1, adjusting specific parameters of the phase modulation unit to realize phase coding;
and S2.1, overlapping the emergent light of the two phase modulation units after the incident light is respectively coded to obtain a complex amplitude hologram.
Based on a linear micro-nano structure, each two phase modulation units are combined into one complex amplitude modulation unit to carry out phase coding, and emergent light respectively modulated by the two phase modulation units is superposed to obtain a complex amplitude hologram.
Fig. 3 is a schematic diagram of a complex amplitude hologram reproduction of the present invention, and an incident light 2 is incident into the linear micro-nano structure 1 and is emitted to reproduce the complex amplitude hologram 3. The incident light 2 may be linearly polarized light or circularly polarized light.
The specific implementation is as follows:
step 1: and calculating the complex amplitude hologram to obtain a coding result of each phase modulation unit, and coding each phase modulation unit of the linear micro-nano structure corresponding to the coding result.
Step 2: the required linearly polarized light or circularly polarized light can be obtained as the incident light through the combination of the laser light source, the polarizer, the wave plate and the convex lens. The specific combination manner differs depending on whether the incident light is linearly polarized light or circularly polarized light.
And step 3: the incident light passes through the super surface formed by the linear micro-nano structure, and then a three-dimensional reproduction image can be observed on the rear light path.
As an optional embodiment, the linear micro-nano structure is formed by any one of a circular antenna structure, a V-shaped antenna structure and a metal rod antenna structure in a piece; each phase modulation unit comprises one of the linear micro-nano structures.
As an optional embodiment, the specific parameter is a structural parameter of the linear micro-nano structure.
As an alternative embodiment, based on the metal rod antenna phase modulation unit, the same thickness and length of the metal rod antenna are set, and the placement angle of the metal rod antenna is adjusted to realize phase modulation.
As an optional embodiment, based on the circular antenna phase modulation unit, the same inner and outer radii and opening sizes of the circular antenna are set, and the opening direction of the circular antenna is adjusted to implement phase modulation.
As an optional embodiment, based on the V-shaped antenna phase modulation unit, the same thickness length and the same opening angle of the V-shaped antenna are set, and the opening angle direction of the V-shaped antenna is adjusted to implement phase modulation.
The above are different processing methods for realizing phase modulation according to the specific structure of the linear micro-nano structure. The linear micro-nano structure of the loop antenna structure, the V-shaped antenna structure and the metal rod antenna structure is described above, but the present invention is not limited thereto, and any other linear micro-nano structure may be applied to the present invention as long as each modulation unit has a phase-coded modulation function.
As shown in fig. 4, the present invention further provides a complex amplitude holographic modulation system of a linear micro-nano structure, including:
the modulation unit dividing module is used for dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and the complex amplitude modulation module is used for carrying out phase coding on each phase modulation unit based on the complex amplitude modulation unit so as to carry out complex amplitude coding modulation on incident light and obtain a complex amplitude hologram.
According to the invention, two phase modulation units (sub-elements) are combined into one complex amplitude modulation unit, and the linear micro-nano structure super-surface and mathematical knowledge are combined, so that the method for modulating the complex amplitude of incident light by only using the phase modulation unit is realized, the error is small, the precision is high, the linear micro-nano structure is easy to process, the practical application cost is reduced, and the method has a good application prospect.
Finally, the method of the present application is only a preferred embodiment and is not intended to limit the scope of the present invention. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.

Claims (10)

1. A complex amplitude holographic modulation method of a linear micro-nano structure is characterized by comprising the following steps:
s1, dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and S2, performing phase coding on each phase modulation unit based on the complex amplitude modulation units so as to perform complex amplitude coding modulation on incident light, and obtaining a complex amplitude hologram.
2. The method of claim 1, wherein the S1 further comprises: and dividing two adjacent phase modulation units into a complex amplitude modulation unit.
3. The method according to claim 1, wherein the complex amplitude coded modulation in S2 satisfies:
wherein,amplitude information of cosA emergent light takes a value of-1 to 1, and the value range of A is 0 to 2 pi; exp (jB) represents phase information of emergent light, and the value range of B is 0-2 pi.
4. The method of claim 1, wherein the S2 further comprises:
s2.1, adjusting specific parameters of the phase modulation unit to realize phase coding;
and S2.1, overlapping the emergent light of the two phase modulation units after the incident light is respectively coded to obtain a complex amplitude hologram.
5. The method according to claim 3, wherein the linear micro-nano structure is composed of any one of a circular antenna structure, a V-shaped antenna structure and a metal rod antenna structure in a form of a patch; each phase modulation unit comprises one of the linear micro-nano structures.
6. The method according to claim 4, wherein the specific parameter is a structural parameter of the linear micro-nano structure.
7. The method according to claim 5, wherein the phase modulation is performed by setting the same thickness and length of the metal rod antenna based on the phase modulation unit of the metal rod antenna and adjusting the angle of the metal rod antenna.
8. The method of claim 5, wherein the phase modulation is achieved by setting the same inner and outer radii and opening sizes of the circular antenna based on a circular antenna phase modulation unit and adjusting the opening direction of the circular antenna.
9. The method of claim 5, wherein the phase modulation is achieved by adjusting the field angle direction of the V-shaped antenna based on the V-shaped antenna phase modulation unit by setting the same length, thickness and field angle of the V-shaped antenna.
10. A complex amplitude holographic modulation system of a linear micro-nano structure is characterized by comprising:
the modulation unit dividing module is used for dividing each two phase modulation units of the linear micro-nano structure into a complex amplitude modulation unit;
and the complex amplitude modulation module is used for carrying out phase coding on each phase modulation unit based on the complex amplitude modulation unit so as to carry out complex amplitude coding modulation on incident light and obtain a complex amplitude hologram.
CN201611220797.1A 2016-12-26 2016-12-26 Complex amplitude holographic modulation method and system based on linear micro-nano structure Active CN106814577B (en)

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CN110967847A (en) * 2019-12-20 2020-04-07 北京理工大学 Complex amplitude spatial light modulator and working method thereof
CN111176091A (en) * 2020-03-06 2020-05-19 姚俊宇 3D holographic animal model projection method
CN111257990A (en) * 2020-03-16 2020-06-09 华中科技大学 Super-surface holographic device, super-surface dynamic holographic display device and method

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