CN109856710A - A kind of pair glued axial cone mirrors and method generating remote high-resolution bessel beam - Google Patents
A kind of pair glued axial cone mirrors and method generating remote high-resolution bessel beam Download PDFInfo
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- CN109856710A CN109856710A CN201910190001.XA CN201910190001A CN109856710A CN 109856710 A CN109856710 A CN 109856710A CN 201910190001 A CN201910190001 A CN 201910190001A CN 109856710 A CN109856710 A CN 109856710A
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- axial cone
- refractive index
- axicon lens
- bessel beam
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B3/00—Simple or compound lenses
- G02B3/02—Simple or compound lenses with non-spherical faces
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- G—PHYSICS
- G02—OPTICS
- G02B—OPTICAL ELEMENTS, SYSTEMS OR APPARATUS
- G02B27/00—Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
- G02B27/0012—Optical design, e.g. procedures, algorithms, optimisation routines
Abstract
The invention discloses a kind of double glued axial cone mirrors for generating remote high-resolution bessel beam and methods；Double glued axial cone mirrors, comprising: positive axis axicon lens and negative axial cone mirror；The refractive index of the material of the positive axis axicon lens is greater than the refractive index of the material of the negative axial cone mirror, and the refractive index of the material of the negative axial cone mirror is greater than the refractive index of double glued axial cone mirror exterior space media.The present invention passes through the double glued axial cone mirror structures of building, the refractive index difference between two kinds of materials used simultaneously with the positive axis axicon lens and negative axial cone mirror that are combined into double glued axial cone mirrors, effectively change the propagation path of incident plane wave, the farthest transmission range of generated bessel beam can be improved multiple orders of magnitude, it can be applied to remote high-resolution imaging and detection, there is critically important practical application meaning.
Description
Technical field
The present invention relates to optical technical fields, particularly relate to a kind of double gluings for generating remote high-resolution bessel beam
Axial cone mirror and method.
Background technique
Bessel beam is a kind of Beams, when it is propagated in free space, perpendicular to the direction of propagation
Any cross section on, light distribution remains unchanged.Since the light distribution of bessel beam is independent of position on axis, significantly
It reduces for experimental system in the requirement for precisely aligning aspect, improves the stability and accuracy of system, thus it is swashing
There is broad application prospect in light processing, interferometry, optical acquisition etc..In practical applications, there are many kinds of optics
Device can be used for generating bessel beam, such as circumferential weld --- lens, computer hologram, Lens with Spherical Aberration, axial cone mirror.Wherein,
Axial cone mirror (generally positive axis axicon lens) using relatively broad, by axial cone mirror generate bessel beam farthest transmission range and
Detection resolution depends primarily on the size at axial cone mirror base angle；Theoretically, the base angle of axial cone mirror is smaller, then the Bezier light generated
The transmission range of beam is remoter.However, being limited by existing processing and manufacturing technology, it is difficult to produce the axial cone with minimum base angle
Mirror (is generally difficult less than 1 degree), and the farthest transmission range of the bessel beam generated is typically only several meters, this obviously can not be reached
To the needs of the applications such as remote imaging, detection.
Summary of the invention
In view of this, it is an object of the invention to propose a kind of double glued axis for generating remote high-resolution bessel beam
Axicon lens and method can be generated with remote transmission range and high-resolution bessel beam.
Based on above-mentioned purpose, the present invention provides a kind of double glued axial cones for generating remote high-resolution bessel beam
Mirror characterized by comprising positive axis axicon lens and negative axial cone mirror；The refractive index of the material of the positive axis axicon lens is greater than the negative axis
The refractive index of the material of axicon lens, and the refractive index of the material of the negative axial cone mirror is greater than double glued axial cone mirror exterior spaces and is situated between
The refractive index of matter.
In some embodiments, the refraction of the material of the refractive index of the material of the positive axis axicon lens and the negative axial cone mirror
The difference of rate is at most 0.05.
In some embodiments, the refraction of the material of the refractive index of the material of the positive axis axicon lens and the negative axial cone mirror
The difference of rate is 0.00105.
In some embodiments, the farthest transmission range for the bessel beam that double glued axial cone mirror generates with it is described
The specific refractivity of positive axis axicon lens and negative two kinds of materials of axial cone mirror meets following relationship:
Wherein, zmaxFor the farthest transmission range for the bessel beam that double glued axial cone mirrors generate, R is double glue
The radius of sympodium axicon lens, α are the base angle of the positive axis axicon lens, θ be double glued axial cone mirrors outgoing conical wave and optical axis it
Between angle, n1For the refractive index of the material of the positive axis axicon lens, n2For the refractive index of the material of the negative axial cone mirror, n0For institute
State the refractive index of double glued axial cone mirror exterior space media.
In some embodiments, double glued axial cone mirrors meet following setting along its axial thickness:
Based on the same inventive concept, the present invention also provides a kind of method for generating remote high-resolution bessel beam,
It include: to make incident plane wave through double glued axial cone mirrors described in any one as above；The incident plane wave is perpendicular to described
The bottom surface of positive axis axicon lens is incident.
From the above it can be seen that the double glued axial cones provided by the invention for generating remote high-resolution bessel beam
Mirror and method, by constructing double glued axial cone mirror structures, while with the positive axis axicon lens and negative axial cone for being combined into double glued axial cone mirrors
The refractive index difference between two kinds of materials that mirror uses effectively changes the propagation path of incident plane wave, can be by Bezier light
The farthest transmission range of beam improves multiple orders of magnitude, can be applied to remote high-resolution imaging and detection, has critically important reality
Border application value.
Detailed description of the invention
In order to more clearly explain the embodiment of the invention or the technical proposal in the existing technology, to embodiment or will show below
There is attached drawing needed in technical description to do simply to introduce, it should be apparent that, the accompanying drawings in the following description is only this
Some embodiments of invention for those of ordinary skill in the art without creative efforts, can be with
It obtains other drawings based on these drawings.
Fig. 1 is that the light of double glued axial cone mirrors of the embodiment of the present invention propagates schematic diagram；
Fig. 2 is that light when double gluing axial cone mirror thickness of the embodiment of the present invention are smaller propagates schematic diagram；
Fig. 3 is that light when double gluing axial cone mirror thickness of the embodiment of the present invention are larger propagates schematic diagram；
Fig. 4 is (z-axis) curve of light distribution on the bessel beam axis of double glued axial cone mirrors generations of the embodiment of the present invention；
Fig. 5 (a) is the curve of light distribution on four cross sections along the x-axis direction, wherein line of dots, diamond shape dotted line, triangle
Form point line and rectangular dotted line respectively correspond ziLight intensity point in=700m, 800m, 900m and 1000m (i=1,2,3,4) plane
Cloth；
Fig. 5 (b) is the normalized curve of Fig. 5 (b).
Specific embodiment
To make the objectives, technical solutions, and advantages of the present invention clearer, below in conjunction with specific embodiment, and reference
Attached drawing, the present invention is described in more detail.
The embodiment of the invention provides a kind of double glued axial cone mirrors for generating remote high-resolution bessel beam, with reference to figure
1, this pair gluing axial cone mirror includes: positive axis axicon lens 1 and negative axial cone mirror 2.Specifically, based on double glued setting sides in optical device
Formula, positive axis axicon lens 1 and the coaxial arrangement of negative axial cone mirror 2, and cooperate in structure.In addition, the refractive index of the material of positive axis axicon lens 1
Greater than the refractive index of the material of negative axial cone mirror 2, and the refractive index of the material of negative axial cone mirror 2 is greater than outside double glued axial cone mirrors
The refractive index of space medium.When in use, incident plane wave is incident perpendicular to the bottom surface of positive axis axicon lens 1, based on double glued axial cones
Refractive index difference between the structure setting and positive axis axicon lens 1 and 2 two kinds of materials of negative axial cone mirror of mirror, to change plane of incidence
The propagation path of wave, and then realize technical effect of the invention.
It is sent out on the bottom surface of positive axis axicon lens when on plane wave from left to right normal incidence to double glued axial cone mirrors with reference to Fig. 1
Raw refraction, the direction for reflecting light are constant.On the interface of positive axis axicon lens and negative axial cone mirror, light occurs second and reflects, by
The law of refraction, refraction angle δ are as follows:
In formula (1), δ is the refraction angle on the interface of orthopyamid mirror and negative axial cone mirror, n1And n2Respectively orthopyamid
The refractive index of the material of mirror and negative axial cone mirror, α are the base angle of orthopyamid mirror.
On the exit facet (bottom surface of namely negative axial cone mirror) of double glued axial cone mirrors, light reflects again, outgoing
Light is the convergence conical wave that tilt angle is θ, wherein angle of the θ between conical wave and optical axis, as shown in Figure 1.θ is by following
Formula provides:
In formula (2), n2Be negative the refractive index of axial cone mirror, n0For the refractive index of double glued axial cone mirror exterior space media,
δ is the refraction angle on the interface of orthopyamid mirror and negative axial cone mirror, as shown in Figure 1.
Z=0 plane is set by the exit facet of double glued axial cone mirrors, in z=0 plane, the light of different lateral positions
Path difference l are as follows:
In formula (3),x0And y0Lateral position coordinate respectively in z=0 plane.
Therefore, the optical field distribution in z=0 plane are as follows:
In formula (4), i is imaginary unit, and λ is the wavelength of incident plane wave, and α is the base angle of orthopyamid mirror, and θ is double glue
Angle between the conical wave and optical axis of the outgoing of sympodium axicon lens, n1For the refractive index of the material of orthopyamid mirror, n2Be negative axial cone mirror
The refractive index of material, n0For the refractive index of double glued axial cone mirror exterior space media.
Simultaneous formula (1)~(4), can calculate the light field in z=0 plane.Recycle stringent Rayleigh --- Suo Mofei
Method can calculate the optical field distribution at any point in transmission region on the right side of double glued axial cone mirrors are as follows:
In formula (5), r indicates the source point (x in z=0 plane0,y0The distance between, 0) and point of observation (x, y, z),
That is:
In the embodiment of the prior art, generallys use single positive axis axicon lens and generate bessel beam.Compared to existing
The innovation of the scheme of technology, the application is, by constructing double glued axial cone mirror structures, when group glued axial cone mirror in pairs
When refractive index difference very little between two kinds of materials, the farthest transmission range of bessel beam can be improved 2~3 orders of magnitude,
It can be applied to remote high-resolution imaging and detection.Wherein, the embodiment of the prior art can also regard double glue of the application as
A kind of special circumstances of sympodium axicon lens, it is only necessary to it is assumed that n2=n0?.To make pair bessel beam of glued axial cone mirrors generation
Farthest transmission range is more than the farthest transmission range of the bessel beam generated using single positive axis axicon lens, the conical wave of outgoing
Tilt angle needs to meet following condition:
θnew<θold (7)
In formula (7), θnewFor the tilt angle of the conical wave of gluing axial cone mirror outgoing double in the application, θoldIt is existing
The tilt angle for the conical wave being emitted when using single positive axis axicon lens in technology.
According to formula (2), formula (7) is variable are as follows:
Since SIN function is monotonically increasing function in [0, pi/2] range, so, it can be to formula (8) the right and left
Angle takes sine, of equal value are as follows:
Formula (1) is substituted into formula (9) can obtain by mathematic(al) manipulation:
To formula (10) further abbreviation, can obtain:
n2>n0 (11)
To enable double glued axial cone mirrors to generate the conical wave of a convergence, to generate Bezier light in interference region
Beam, it is also necessary to meet n1>n2.In summary the condition of refractive index is it is found that when the refractive index of material meets following condition
n1>n2>n0 (12)
The bessel beam generated using double glued axial cone mirrors will utilize the generation of single positive axis axicon lens than in the prior art
Bessel beam transmission range is farther.
Particularly, when the base angle of axial cone mirror is smaller,According to nothing
The farthest transmission range formula of diffracted beam utilizes the farthest transmission range for the bessel beam that double glued axial cone mirrors generate are as follows:
Wherein, R is the radius of double glued axial cone mirrors, n1For the refractive index of the material of the positive axis axicon lens, n2It is described
The refractive index of the material of negative axial cone mirror, n0For the refractive index of double glued axial cone mirror exterior space media, α is orthopyamid mirror
Base angle.
As it can be seen that the farthest transmission range for the bessel beam that double gluing axial cone mirrors generate and the refractive index of positive and negative axial cone mirror
Difference is inversely proportional.If organize the refractive index difference very little of two kinds of materials of glued axial cone mirror in pairs, compared with the prior art
Single positive axis axicon lens, the tilt angle of the conical wave of outgoing will reduce by 2~3 orders of magnitude, and the farthest transmission of bessel beam
Distance is inversely proportional with tilt angle, and therefore, the farthest transmission range of generated bessel beam will improve 2~3 orders of magnitude.
Consider that the refractive index of the material of positive axis axicon lens and the specific refractivity of the material of negative axial cone mirror are at most from practical application angle
0.05；Wherein, the specific refractivity of the material of the refractive index of the material of positive axis axicon lens and negative axial cone mirror is selected as 0.00105.
Further, double glued axial cone mirrors also will affect produced along its axial thickness (being referred to as thickness afterwards)
Bessel beam performance.Two situations are specifically divided into be analyzed:
With reference to Fig. 2, for the smaller situation of the thickness of double glued axial cone mirrors.
When the thickness d of double glued axial cone mirrors level off to zero when, ρ0R will be leveled off to, at this point, the exit facet of double gluing axial cone mirrors
On will cannot generate the conical wave of convergence, the bessel beam of salt free ligands cannot be also generated in interference region.To ensure to produce
Raw Beams, it is contemplated that the diffraction effect at double gluing axial cone mirror edges need to meet following condition:
ρ0≤0.9R (14)
Or
It can be obtained by mathematic(al) manipulation:
d≥0.1R×tan(α) (16)
With reference to Fig. 3, for the bigger situation of the thickness of double glued axial cone mirrors.
On the exit facet of double glued axial cone mirrors, radius is greater than ρ0Region will there is no emergent ray.In particular, when double glue
When the thickness of sympodium axicon lens is bigger, it will be unable to generate the conical wave assembled in output face.To ensure non-diffraction Bessel beam
Generation, it is contemplated that the diffraction effect at double gluing axial cone mirror edges need to meet following condition:
ρ0≥0.1R (17)
Or
d×tan(δ)≤0.9R (18)
Formula (1) is substituted into formula (18) can obtain by mathematic(al) manipulation:
Simultaneous formula (16) and (19), can obtain double glued axial cone mirrors along its axial thickness need to meet following setting:
For the technical effect of the embodiment of the present invention will be further explained scheme, inventor has chosen one group of parameter, and carries out
Numerical simulation.Specific parameter includes: that the radius of double glued axial cone mirrors is R=10cm, and the base angle of positive axis axicon lens is α=4o, is entered
A length of λ=the 587.6nm of ejected wave, positive axis axicon lens and negative axial cone mirror select the H-K6 glass of Chengdu Guangming Photoelectricity Joint-stock Co., Ltd respectively
Glass and H-K5 glass, selecting the corresponding refractive index of wavelength is respectively n1=1.51112 and n2=1.51007, outside double gluing axial cone mirrors
The refractive index of portion's space medium is n0=1.0.
According to the relevant calculation formula in the above selected parameter and previous embodiment, it is right that double glued axial cone mirrors can be calculated
The transmitted light intensity of side is distributed, and is specifically included:
(z-axis) light distribution is as shown in Figure 4 on axis.On four cross sections perpendicular to z-axis, light intensity along the x-axis direction
Shown in distribution curve such as Fig. 5 (a), wherein line of dots, diamond shape dotted line, triangle dotted line and rectangular dotted line respectively correspond zi=
Light distribution in 700m, 800m, 900m and 1000m (i=1,2,3,4) plane.Fig. 5 (b) is the corresponding normalization of Fig. 5 (a)
The curve of light distribution.
Simulation calculated result shows that incident plane wave after double glued axial cone mirrors, produces bessel beam, most teletransmission
Defeated distance are as follows: zmax=1077.04m (position on the corresponding axis of peak-peak light intensity), in z4In the plane of=1000m, Bezier
The radius (corresponding to detectable resolution ratio) of beam center main lobe are as follows: 3.02mm.As it can be seen that incident plane wave is by double glued axial cones
After mirror, produce with remote transmission range and high-resolution bessel beam.
Based on the same inventive concept, remote high-resolution bessel beam is generated the embodiment of the invention also provides a kind of
Method, comprising: make incident plane wave through double glued axial cone mirrors described in any one as above；Wherein, the incident plane wave
It is incident perpendicular to the bottom surface of the positive axis axicon lens.
From the above embodiment of the present invention as it can be seen that the double glue provided by the invention for generating remote high-resolution bessel beam
Sympodium axicon lens and method, by constructing double glued axial cone mirror structures, while with the positive axis axicon lens for being combined into double glued axial cone mirrors and
The refractive index difference between two kinds of materials that negative axial cone mirror uses effectively changes the propagation path of incident plane wave, can be by shellfish
The farthest transmission range of Sai Er light beam improves multiple orders of magnitude, can be applied to remote high-resolution imaging and detection, has very heavy
The practical application meaning wanted.
It should be understood by those ordinary skilled in the art that: the discussion of any of the above embodiment is exemplary only, not
It is intended to imply that the scope of the present disclosure (including claim) is limited to these examples；Under thinking of the invention, above embodiments
Or can also be combined between the technical characteristic in different embodiments, step can be realized with random order, and be existed such as
Many other variations of the upper different aspect of the invention, for simplicity, they are not provided in details.
The embodiment of the present invention be intended to cover fall into all such replacements within the broad range of appended claims,
Modifications and variations.Therefore, all within the spirits and principles of the present invention, any omission, modification, equivalent replacement, the improvement made
Deng should all be included in the protection scope of the present invention.
Claims (6)
1. a kind of double glued axial cone mirrors for generating remote high-resolution bessel beam characterized by comprising positive axis axicon lens and
Negative axial cone mirror；The refractive index of the material of the positive axis axicon lens is greater than the refractive index of the material of the negative axial cone mirror, and the negative axis
The refractive index of the material of axicon lens is greater than the refractive index of double glued axial cone mirror exterior space media.
2. the double glued axial cone mirrors according to claim 1 for generating remote high-resolution bessel beam, which is characterized in that
The specific refractivity of the material of the refractive index of the material of the positive axis axicon lens and the negative axial cone mirror is at most 0.05.
3. the double glued axial cone mirrors according to claim 1 for generating remote high-resolution bessel beam, which is characterized in that
The specific refractivity of the material of the refractive index of the material of the positive axis axicon lens and the negative axial cone mirror is 0.00105.
4. the double glued axial cone mirrors according to claim 1 for generating remote high-resolution bessel beam, which is characterized in that
The farthest transmission range and two kinds of materials of the positive axis axicon lens and negative axial cone mirror for the bessel beam that double glued axial cone mirrors generate
The specific refractivity of material meets following relationship:
Wherein, zmaxFor the farthest transmission range for the bessel beam that double glued axial cone mirrors generate, R is double glued axis
The radius of axicon lens, α are the base angle of the positive axis axicon lens, and θ is between the conical wave and optical axis of double glued axial cone mirror outgoing
Angle, n1For the refractive index of the material of the positive axis axicon lens, n2For the refractive index of the material of the negative axial cone mirror, n0It is described double
The refractive index of glued axial cone mirror exterior space medium.
5. the double glued axial cone mirrors according to claim 4 for generating remote high-resolution bessel beam, which is characterized in that
Double glued axial cone mirrors meet following setting along its axial thickness:
6. a kind of method for generating remote high-resolution bessel beam characterized by comprising make incident plane wave through such as
Double gluing axial cone mirrors described in claim 1 to 5 any one；Bottom surface of the incident plane wave perpendicular to the positive axis axicon lens
It is incident.
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| CN201811064428.7A CN109164517A (en) | 2018-09-12 | 2018-09-12 | A kind of pair glued axial cone mirrors and method generating remote high-resolution bessel beam |
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| CN201910190001.XA Pending CN109856710A (en) | 2018-09-12 | 2019-03-13 | A kind of pair glued axial cone mirrors and method generating remote high-resolution bessel beam |
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| CN110174770B (en) * | 2019-03-18 | 2023-10-27 | 首都师范大学 | Device and method for generating on-axis multistage stable transmission Bessel light beam |
| CN113125121B (en) * | 2021-04-16 | 2022-07-01 | 森思泰克河北科技有限公司 | Lens spherical aberration measuring system and method |
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