CN209640610U - It is a kind of to stablize the device for transmitting bessel beam at a distance for generating - Google Patents
It is a kind of to stablize the device for transmitting bessel beam at a distance for generating Download PDFInfo
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Abstract
The utility model discloses for generating the remote device for stablizing transmission bessel beam；The device includes: mutual glued positive axis axicon lens and negative axial cone mirror；The refractive index of the material of positive axis axicon lens is greater than the refractive index of the material of negative axial cone mirror, and the refractive index of the material of negative axial cone mirror is greater than the refractive index of exterior space medium；It is provided with amplitude diaphragm on the bottom surface of negative axial cone mirror, which includes the annular region of gradual change amplitude modulation.The utility model passes through positive axis axicon lens and the double glued axial cone mirror structures of negative axial cone mirror building, cooperate the refractive index difference of positive axis axicon lens and negative two kinds of materials of axial cone mirror, effectively change the propagation path of incident plane wave, the farthest transmission range of bessel beam can be improved 2~3 orders of magnitude, it can be used for remote, high-resolution imaging and detection, there is critically important practical application meaning.
Description
Technical field
The utility model relates to optical technical fields, particularly relate to a kind of for generating remote stable transmission Bezier light
The device of beam.
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 optics devices
Part can be used for generating bessel beam, such as circumferential weld --- lens, computer hologram, Lens with Spherical Aberration, axial cone mirror.Wherein, axis
Axicon lens (generally positive axis axicon lens) using relatively broad, utilize axial cone mirror to generate the farthest transmission range and cross of bessel beam
The size at axial cone mirror base angle is depended primarily on to resolution ratio；Theoretically, the base angle of axial cone mirror is smaller, then the bessel beam generated
Transmission range it is remoter.However, being limited by existing processing and manufacturing technology, it is difficult to produce the axial cone with minimum base angle
The farthest transmission range of mirror, the bessel beam generated is typically only several meters, this is obviously unable to reach remote imaging, detection
The needs of equal applications.In addition, using axial cone mirror generate bessel beam, the uniformity of on-axis intensity is poor, limit its
Application in high-precision quasi-optics imaging system.
Utility model content
In view of this, the purpose of this utility model is that proposing a kind of for generating remote stable transmission bessel beam
Device, the bessel beam of generation has far transmission range, very high lateral resolution and the axis having good uniformity
Upper light distribution, thus there are critically important practical application values.
Based on above-mentioned purpose, the utility model provides a kind of for generating the remote dress for stablizing transmission bessel beam
It sets, comprising: mutually glued 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 axial cone
The refractive index of the material of mirror, and the refractive index of the material of the negative axial cone mirror is greater than the refractive index of exterior space medium；It is described negative
It is provided with amplitude diaphragm on the bottom surface of axial cone mirror, is provided with annular transmission region on the amplitude diaphragm；The amplitude diaphragm
Amplitude transmission coefficient meets following formula:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm (or negative axial cone mirror bottom surface)；R1And R2It is respectively described
The internal diameter and outer diameter of annular transmission region；0<R1<R2≤ R, R are the radius of the amplitude diaphragm (or double glued axial cone mirrors).
In some embodiments, the amplitude transmission coefficient further satisfaction of the amplitude diaphragm: T1(ρ)×T2(ρ)；Its
In, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm (or negative axial cone mirror bottom surface)；ε1And ε2For smooth length
Proportionality coefficient；R1And R2The internal diameter and outer diameter of the respectively described annular transmission region；N is smooth order, and the value of N is positive real number.
In some embodiments, the amplitude transmission coefficient further satisfaction of the amplitude diaphragm: T1(ρ)×T2(ρ)；Its
In, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm (or negative axial cone mirror bottom surface)；ε1And ε2For smooth length
Proportionality coefficient；R1And R2The internal diameter and outer diameter of the respectively described annular transmission region；N is smooth order, and the value of N is positive real number.
In some embodiments, the amplitude transmission coefficient further satisfaction of the amplitude diaphragm: T1(ρ)×T2(ρ)；Its
In, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm (or negative axial cone mirror bottom surface)；ε1And ε2For smooth length
Proportionality coefficient；R1And R2The internal diameter and outer diameter of the respectively described annular transmission region；N is smooth order, and the value of N is positive real number.
In some embodiments, the amplitude transmission coefficient further satisfaction of the amplitude diaphragm: T1(ρ)×T2(ρ)；Its
In, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm (or negative axial cone mirror bottom surface)；ε1And ε2For smooth length
Proportionality coefficient；R1And R2The internal diameter and outer diameter of the respectively described annular transmission region；N is smooth order, and the value of N is positive real number.
In some embodiments, ε1And ε2Value it is identical, and its value range be [0 0.5].
In some embodiments, ε1And ε2Value be 0.25.
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 base angle of the positive axis axicon lens is 12 °；The refractive index of exterior space medium is 1.
On the other hand, the utility model additionally provides a kind of for generating the method for stablizing transmission bessel beam, comprising:
Incident plane wave is set to stablize the device for transmitting bessel beam at a distance for generating through described in any one as above；Its
In, the incident plane wave is incident perpendicular to the bottom surface of the positive axis axicon lens.
From the above it can be seen that provided by the utility model transmit bessel beam for generating remote stablize
Device by positive axis axicon lens and the double glued axial cone mirror structures of negative axial cone mirror building, and cooperates positive axis axicon lens and negative axial cone mirror to use
Two kinds of materials between refractive index difference, effectively change incident plane wave propagation path, can be by bessel beam most
Remote transmission range improves 2~3 orders of magnitude, can be applied to remote, high-resolution imaging and detection；In addition, by negative axial cone
Amplitude diaphragm is set on the bottom surface of mirror, incident plane wave is acted on by the amplitude modulation of gradual change in annular region, makes generation
Bessel beam has the on-axis intensity distribution having good uniformity, and has critically important practical application meaning.
Detailed description of the invention
In order to illustrate the embodiment of the utility model or the technical proposal in the existing technology more clearly, below will be to embodiment
Or attached drawing needed to be used in the description of the prior art does simple introduction, it should be apparent that, the accompanying drawings in the following description is only
It is some embodiments of the utility model, for those of ordinary skill in the art, in the premise not made the creative labor
Under, it is also possible to obtain other drawings based on these drawings.
Fig. 1 is that the light of the device of the utility model embodiment propagates schematic diagram, wherein 1 is orthopyamid mirror, 2 are negative axial cone
Mirror, 3 be amplitude diaphragm；
Fig. 2 (a), Fig. 2 (b) and Fig. 2 (c) are respectively not provided with amplitude diaphragm 3, the amplitude transmission coefficient of amplitude diaphragm 3 is
T1The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1(ρ)×T2Amplitude transmission coefficient in the case of three kinds of (ρ)；
Fig. 3 (a), Fig. 3 (b) and Fig. 3 (c) are respectively not provided with amplitude diaphragm 3, the amplitude transmission coefficient of amplitude diaphragm 3 is
T1The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1(ρ)×T2On-axis intensity distribution in the case of three kinds of (ρ)；
Fig. 4 (a), Fig. 4 (c) and Fig. 4 (e) are respectively not provided with amplitude diaphragm 3, the amplitude transmission coefficient of amplitude diaphragm 3 is
T1The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1(ρ)×T2The curve of light distribution in the case of three kinds of (ρ), wherein click and sweep
Line, dotted line, dotted line and solid line respectively correspond ziPerpendicular to z-axis at=850m, 950m, 1050m and 1150m (i=1,2,3,4)
Along the light distribution of x-axis on cross section；
Fig. 4 (b), Fig. 4 (d) and Fig. 4 (f) are respectively not provided with amplitude diaphragm 3, the amplitude transmission coefficient of amplitude diaphragm 3 is
T1The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1(ρ)×T2Light intensity deviation in the case of three kinds of (ρ), chain lines, point
Line, dotted line and solid line respectively correspond ziPerpendicular to the transversal of z-axis at=850m, 950m, 1050m and 1150m (i=1,2,3,4)
Along the light intensity deviation of x-axis on face；
Fig. 5 is the on-axis intensity distribution in the case of different smooth orders；
Specific embodiment
For the purpose of this utility model, technical solution and advantage is more clearly understood, below in conjunction with specific embodiment, and
Referring to attached drawing, the utility model is further described.
The utility model embodiment provides a kind of for generating the remote device for stablizing transmission bessel beam, reference
Fig. 1, the device include: positive axis axicon lens 1, negative axial cone mirror 2 and amplitude diaphragm 3.Specifically, it is set based on double gluings in optical device
Mode, positive axis axicon lens 1 and the coaxial arrangement of negative axial cone mirror 2 are set, and is cooperated in structure, constitutes a double glued axial cone on the whole
Mirror structure.Wherein, the refractive index of the material of positive axis axicon lens 1 is greater than the refractive index of the material of negative axial cone mirror 2, and negative axial cone mirror 2
The refractive index of material is greater than the refractive index of double glued axial cone mirror exterior space media.In addition, amplitude diaphragm 3 is arranged in positive axis
On the bottom surface of axicon lens 1 or negative axial cone mirror 2；The shape of amplitude diaphragm 3 is circle, the bottom surface with positive axis axicon lens 1, negative axial cone mirror 2
Shape is identical, and projects and be overlapped setting.In subsequent embodiment, on the bottom surface that negative axial cone mirror 2 is arranged in amplitude diaphragm 3
It is illustrated.
When in use, incident plane wave is incident perpendicular to the bottom surface of positive axis axicon lens 1, based on positive axis axicon lens 1 and negative axial cone mirror 2
The setting of amplitude transmission coefficient on refractive index difference and amplitude diaphragm 3 between two kinds of materials, to change double glued axial cone mirrors
Optical field distribution in the transmission region of right side, and then realize the technical effect of the utility model.
To explain in detail, in two steps come illustrate the present embodiment device optical principle: first introduce by positive axis axicon lens 1 with
Effect of the double glued axial cone mirrors that negative axial cone mirror 2 is constituted to incident plane wave；Add amplitude diaphragm 3, introduce positive axis axicon lens 1,
Negative axial cone mirror 2 and amplitude diaphragm 3 are jointly to the effect of incident plane wave.
With reference to Fig. 1, when on incident plane wave from left to right (direction shown in FIG. 1) normal incidence to double glued axial cone mirrors,
On the interface of positive axis axicon lens 1 and air, light is reflected, but does not change the direction of propagation.Next, light is in orthopyamid
It is reflected on the interface of mirror 1 and negative axial cone mirror 2, by the law of refraction, the deflection angle of emergent ray are as follows:
Wherein, β is the refracted light on positive and negative axial cone mirror interface and the angle between optical axis, n1And n2Respectively positive axis
The refractive index of the material of axicon lens 1 and negative axial cone mirror 2, α are the base angle of orthopyamid mirror 1, as shown in Figure 1.
On the interface of negative axial cone mirror 2 and exterior space medium, by the law of refraction, refraction angle are as follows:
Wherein, θ is the angle between the light and optical axis of double glued axial cone mirror outgoing, n0It is empty outside double glued axial cone mirrors
Between medium refractive index, as shown in Figure 1.
Z=0 plane is set by the exit facet of double glued axial cone mirrors, radius is the phase at the position of ρ in z=0 plane
Position are as follows:
In formula (3), λ is the wavelength of incident plane wave,x0And y0Respectively indicate z=0 plane
On lateral position coordinate.Therefore, the optical field distribution in z=0 plane are as follows:
In formula (4), j is imaginary unit, and A (ρ) indicates that radius is the amplitude at the position of ρ in z=0 plane.In list
In the case that position Amplitude Plane wave is incident, when amplitude diaphragm 3 is arranged, A (ρ)=T (ρ), wherein T (ρ) is the vibration of amplitude diaphragm 3
Width transmission coefficient；When being not provided with amplitude diaphragm 3, T (ρ)=1.
After obtaining the optical field distribution in z=0 plane, stringent Rayleigh is recycled --- rope end Philippine side method can calculate
Optical field distribution in transmission region on the right side of double glued axial cone mirrors at any point (x, y, z) out are as follows:
In formula (5), E0(x0,y0, z=0) indicate z=0 plane on optical field distribution；λ is the wave of incident plane wave
It is long；R indicates the source point (x in z=0 plane0,y0The distance between, 0) and point of observation (x, y, z), it may be assumed that
The embodiment for generating bessel beam using single positive axis axicon lens in compared with the prior art, the application is using just
Axial cone mirror and negative axial cone mirror constitute double glued axial cone mirror structures, the refractive index between two kinds of materials for organizing glued axial cone mirror in pairs
When difference very little, the farthest transmission range of bessel beam can be improved 2~3 orders of magnitude, can be applied to remote, high-resolution
Imaging and detection.Consider from practical application angle, the refractive index of the material of the refractive index of the material of positive axis axicon lens and negative axial cone mirror
Difference be at most 0.05.
Incident plane wave is provided with farther away after the double glued axial cone mirrors being made of positive axis axicon lens 1 and negative axial cone mirror 2
Transmission range and higher lateral resolution, but the changing rule that oscillation rises is presented in its on-axis intensity, therefore on-axis intensity is equal
Even property is poor.In the device of the present embodiment, with reference to Fig. 1, amplitude diaphragm 3 is further set on the bottom surface of negative axial cone mirror 2, it should
It is provided with annular transmission region on amplitude diaphragm 3, can be realized amplitude modulation, to change the transmission on the right side of double glued axial cone mirrors
The distribution of diffractive light field in region, it is expected that obtaining the bessel beam for stablizing transmission.
To solve the problems, such as that the bessel beam generated by double glued axial cone mirrors is unstable in light on-axis intensity, realize in light
Certain section of distance [z on axis1z2] the interior bessel beam for generating stable transmission of range, it is divided into following two step.In general, [z1z2] model
It encloses and is determined by practical application request.The first step is [R in radius to solve the problems, such as on-axis intensity monotone increasing1R2] annular
In region, annular amplitude diaphragm, amplitude transmission coefficient are introduced are as follows:
In formula (7), ρ indicates the radial position coordinate on amplitude diaphragm 3 (or negative 2 bottom surface of axial cone mirror)；R1And R2Respectively
For the internal diameter and outer diameter of annular region；The inside and outside radius of annular region meets: 0 < R1<R2≤ R, wherein R is the half of amplitude diaphragm 3
Diameter.The relationship between radial position ρ according to theory of geometric optics, in transmission range z and the z=0 plane of bessel beam are as follows:
Z=ρ/tan (θ), wherein θ is provided by formula (2).Therefore, on amplitude diaphragm 3, the interior outer radius of annular transmission region is distinguished
Are as follows:
Ri=zi× tan (θ), i=1,2 (8)
In formula (8), transmission range z on axisi(i=1,2) is determined by practical application request, is recycled formula (8), can
Obtain the inside and outside radius R of annular transmission regioni(i=1,2), and then annular amplitude diaphragm is designed using formula (7).
By the way that amplitude diaphragm 3 is arranged, so that the on-axis intensity for the bessel beam that the device of the present embodiment generates is uniform
Property has obtained apparent improvement, but on-axis intensity still has stronger oscillation effect.It generates the reason of light intensity vibrates to be, In
On amplitude diaphragm 3, the amplitude transmission coefficient of two boundaries of annular transmission region sports 0 by some limited numerical value.For
Inhibit the oscillation of on-axis intensity, in one further embodiment, introduces amplitude in two boundaries of annular transmission region
Smooth diaphragm, the amplitude transmission coefficient of the smooth diaphragm of amplitude are given no longer by 1 mutation to 0 by the function of a consecutive variations
Out.The amplitude transmission coefficient further satisfaction of amplitude diaphragm 3 in the present embodiment: T1(ρ)×T2(ρ)；Wherein, T2The expression of (ρ)
Formula are as follows:
In formula (9), ρ indicates the radial position coordinate on amplitude diaphragm 3 (or negative 2 bottom surface of axial cone mirror)；ε1And ε2It is flat
Sliding length ratio coefficient；R1And R2The respectively internal diameter and outer diameter of annular region；N is smooth order, and wherein N is positive real number.
In the present embodiment, amplitude diaphragm 3 forms gradual change amplitude diaphragm.Therefore, the amplitude transmission system of gradual change amplitude diaphragm
Number are as follows:
T (ρ)=T1(ρ)×T2(ρ) (10)
In formula (10), T1(ρ) and T2(ρ) is provided by formula (7) and (9) respectively.
In contrast thereto, in the case where being not provided with amplitude diaphragm 3, amplitude transmission coefficient are as follows:
In formula (11), R is the radius of double glued axial cone mirrors.
For the technical effect for further illustrating the utility model embodiment scheme, utility model people has chosen one group of parameter,
And numerical simulation is carried out.Specific parameter include: double glued axial cone mirrors radius be R=30cm (radius of positive axis axicon lens 1=
Radius=30cm of negative axial cone mirror 2), the base angle of positive axis axicon lens 1 is α=12°, the wavelength of incident plane wave is λ=632.8nm,
Positive axis axicon lens 1 and negative axial cone mirror 2 select the H-K6 glass and H-K5 glass of Chengdu Guangming Photoelectricity Joint-stock Co., Ltd respectively, select
The corresponding refractive index of wavelength is respectively n1=1.5093 and n2=1.5084；Exterior space medium is air, refractive index n0=
1.0.The transmission range range setting of bessel beam on optical axis are as follows: [500 1500] m；According to formula (8), in annular amplitude
On diaphragm and the smooth diaphragm of amplitude, the interior outer radius of annular transmission region is respectively R1=9.57cm and R2=28.70cm；It is shaking
On the smooth diaphragm of width, smooth length proportionality coefficient are as follows: ε1=ε2=0.25, smooth order is N=2.It should be noted that this reality
The value for applying each smooth length proportionality coefficient in example is identical；And in other embodiments, the value of each smooth length proportionality coefficient
May be set to be it is not identical, specific value can according to implement need flexible setting.
It is T in the amplitude transmission coefficient for being not provided with amplitude diaphragm 3, amplitude diaphragm 31The amplitude transmission of (ρ) and amplitude diaphragm 3
Coefficient is T1(ρ)×T2In the case of three kinds of (ρ), simulation calculating is carried out respectively.
According to parameter selected above, the amplitude transmission coefficient in the case of being calculated three kinds is respectively such as Fig. 2 (a), 2 (b)
With shown in 2 (c).
Based on scalar diffraction theory and complete Rayleigh --- rope end Philippine side method, using formula (5), simulation is calculated double
On-axis intensity is distributed in transmission region on the right side of glued axial cone mirror.Fig. 3 (a), 3 (b) and 3 (c), which respectively correspond, is not provided with amplitude light
Late 3, the amplitude transmission coefficient of amplitude diaphragm 3 is T1The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1(ρ)×T2Three kinds of (ρ)
In the case of on-axis intensity distribution.As can be seen that the variation that oscillation rises is presented in on-axis intensity when being not provided with amplitude diaphragm 3
Rule, as shown in Fig. 3 (a)；When the amplitude transmission coefficient of amplitude diaphragm 3 is T1When (ρ), the ascendant trend of on-axis intensity is effective
Inhibit, but there are still violent oscillation effects for on-axis intensity, as shown in Fig. 3 (b)；When the amplitude transmission coefficient of amplitude diaphragm 3 is set
It is set to T1(ρ)×T2When (ρ), the oscillation effect of on-axis intensity is effectively suppressed, and obtains the bessel beam for stablizing transmission, such as
Shown in Fig. 3 (c).
For the stability of quantitatively characterizing on-axis intensity, the relative error of on-axis intensity is defined are as follows:Wherein IzIndicate the light intensity on optical axis at certain point,Indicate being averaged in certain section of region on optical axis
Light intensity.Numerical result in Fig. 3 (a), 3 (b) and 3 (c) shows that transmission range is [850 1150] m range on optical axis
Interior, at above-mentioned three kinds, the maximum relative error of on-axis intensity is respectively as follows: 31.81%, 17.86% and 0.69%, this table
It is bright using amplitude diaphragm 3 designed by the present embodiment, the Bezier for stablizing transmission is obtained within the scope of certain distance on optical axis
Light beam.
For the performance for characterizing generated bessel beam, simulates and calculated along x on four cross sections perpendicular to z-axis
The light distribution of axis, as shown in figure 4, its chain lines, dotted line, dotted line and solid line respectively correspond zi=850m, 950m, 1050m
With at 1150m (i=1,2,3,4) perpendicular to the light distribution on the cross section of z-axis along x-axis.Fig. 4 (a), 4 (c) and 4 (e) are respectively
It is T to be not provided with the amplitude transmission coefficient of amplitude diaphragm 3, amplitude diaphragm 31The amplitude transmission coefficient of (ρ) and amplitude diaphragm 3 is T1
(ρ)×T2It is distributed in the case of three kinds of (ρ) along the actual light intensity of x-axis.From Fig. 4 (a), 4 (c) and 4 (e) as can be seen that when being not provided with
When amplitude diaphragm 3, the actual light intensity on four cross sections is widely different；When the amplitude transmission coefficient of amplitude diaphragm 3 is T1(ρ)
When, the actual light intensity deviation on four cross sections is smaller；When the amplitude transmission coefficient of amplitude diaphragm 3 is set as T1(ρ)×T2(ρ)
When, the actual light intensity distribution on four cross sections is almost overlapped.Simulation calculated result is also shown that all to be obtained on all cross sections
High-resolution bessel beam, spot radius are 1.27mm, this and the spot radius that is obtained according to theory of geometric opticsIt is completely the same.
For the stabilization transmission characteristic for clearly illustrating that bessel beam on varying cross-section, the light intensity on cross section is defined
Deviation are as follows: Δ Ix=| Ix-I0|, wherein IxIndicate the light distribution on cross section along x-axis,Indicate four
Along the average intensity of x-axis on cross section.Fig. 4 (b), 4 (d) and 4 (f) be set forth above-mentioned three kinds in the case of along x-axis light intensity
Deviation.Simulation calculated result show the largest light intensity deviation at above-mentioned three kinds, on cross section be respectively as follows: 539.60,
109.14 and 5.58.Further, it can define the maximum relative light intensity deviation on cross section are as follows:At above-mentioned three kinds, the maximum relative light intensity deviation on cross section is respectively as follows:
21.75%, 9.06% and 0.49%.
In addition, keeping other parameters constant by the smooth order for changing the smooth diaphragm of amplitude, calculating bessel beam
On-axis intensity distribution, as shown in Figure 5.From fig. 5, it can be seen that all being obtained steady on axis in the case where different smooth orders
Surely the bessel beam transmitted.It simulates calculated result to show when N is respectively 1,2,3,4 and 5, transmission range [900 on axis
1100] within the scope of m, the maximum relative error of on-axis intensity is respectively as follows: 0.55%, 0.48%, 0.66%, 0.89% and
1.13%.
Above-mentioned simulation calculated result shows incident plane wave through device [double gluing axial cone mirror+amplitude light of the present embodiment
Door screen 3, wherein the amplitude transmission coefficient of amplitude diaphragm 3 is T1(ρ)×T2(ρ)] after, produce bessel beam, the vibration of on-axis intensity
It swings effect and has obtained further effective inhibition, the uniformity of on-axis intensity has obtained the promotion of essence, obtained well
On-axis intensity uniformity.
It should be noted that in the above-described embodiments, to obtain transmitting stable bessel beam, T on axis2(ρ) is used
[sin(x)]NForm, provided by formula (9).However, in practical applications, for the technical effect for realizing the utility model, T2
(ρ) can be provided by the function of any one consecutive variations.
In other embodiments, T2(ρ) can also be indicated by following form:
1)
In formula (12),ρ indicates the radial direction on amplitude diaphragm 3 (or negative 2 bottom surface of axial cone mirror)
Position coordinates；ε1And ε2For smooth length proportionality coefficient；R1And R2The respectively internal diameter and outer diameter of annular region；N is smooth rank
Number, wherein N is positive real number.
2)
In formula (13), J0For zero Bessel function；ρ indicates the diameter on amplitude diaphragm 3 (or negative 2 bottom surface of axial cone mirror)
To position coordinates；ε1And ε2For smooth length proportionality coefficient；R1And R2The respectively internal diameter and outer diameter of annular region；N is smooth rank
Number, wherein N is positive real number.
3)
In formula (14), J1For first-order bessel function；ρ indicates the diameter on amplitude diaphragm 3 (or negative 2 bottom surface of axial cone mirror)
To position coordinates；ε1And ε2For smooth length proportionality coefficient；R1And R2The respectively internal diameter and outer diameter of annular region；N is smooth rank
Number, wherein N is positive real number.
Conceived based on same utility model, the utility model embodiment additionally provides a kind of for generating stable transmission shellfish plug
The method of your light beam, this method comprises: penetrating incident plane wave described in any one as above for generating remote stabilization
Transmit the device of bessel beam；Wherein, the incident plane wave is incident perpendicular to the bottom surface of the positive axis axicon lens.
From the above embodiments of the present invention as it can be seen that provided by the utility model transmit shellfish for generating remote stablize
The device of Sai Er light beam, the folding between two kinds of materials used with the positive axis axicon lens and negative axial cone mirror for being combined into double glued axial cone mirrors
Rate difference is penetrated, the propagation path of incident plane wave is effectively changed, the farthest transmission range of bessel beam can be improved 2~3
A order of magnitude can be applied to remote, high-resolution imaging and detection；In addition, by the bottom surface of positive axis axicon lens or negative axial cone mirror
Upper setting amplitude diaphragm, acts on incident plane wave by the amplitude modulation of gradual change in annular region, makes the Bezier light generated
Beam has the on-axis intensity distribution having good uniformity, and has critically important practical application meaning.
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 the thinking of the utility model, the above reality
Applying can also be combined between the technical characteristic in example or different embodiments, and step can be realized with random order, and be deposited
In many other variations of the different aspect of the utility model as described above, for simplicity, they are not provided in details.
The embodiments of the present invention are intended to cover fall into all such within the broad range of appended claims
Replacement, modifications and variations.Therefore, within the spirit and principle of the utility model, any omission for being made, modification, equivalent
Replacement, improvement etc., should be included within the scope of protection of this utility model.
Claims (9)
1. a kind of for generating the remote device for stablizing transmission bessel beam characterized by comprising mutual gluing is just
Axial cone mirror 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 exterior space medium；The positive axis axicon lens or the negative axial cone mirror
Bottom surface on be provided with amplitude diaphragm；Annular transmission region is provided on the amplitude diaphragm；The amplitude of the amplitude diaphragm is saturating
It penetrates coefficient and meets following formula:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm；R1And R2The internal diameter of the respectively described annular transmission region and
Outer diameter；0<R1<R2≤ R, R are the radius of the amplitude diaphragm.
2. according to claim 1 for generating the remote device for stablizing transmission bessel beam, which is characterized in that institute
State the amplitude transmission coefficient further satisfaction of amplitude diaphragm: T1(ρ)×T2(ρ)；Wherein, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm；ε1And ε2For smooth length proportionality coefficient；R1And R2Respectively
The internal diameter and outer diameter of the annular transmission region；N is smooth order, and the value of N is positive real number.
3. according to claim 1 for generating the remote device for stablizing transmission bessel beam, which is characterized in that institute
State the amplitude transmission coefficient further satisfaction of amplitude diaphragm: T1(ρ)×T2(ρ)；Wherein, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm；ε1And ε2For smooth length proportionality coefficient；R1And R2Respectively
The internal diameter and outer diameter of the annular transmission region；N is smooth order, and the value of N is positive real number.
4. according to claim 1 for generating the remote device for stablizing transmission bessel beam, which is characterized in that institute
State the amplitude transmission coefficient further satisfaction of amplitude diaphragm: T1(ρ)×T2(ρ)；Wherein, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm；ε1And ε2For smooth length proportionality coefficient；R1And R2Respectively
The internal diameter and outer diameter of the annular transmission region；N is smooth order, and the value of N is positive real number.
5. according to claim 1 for generating the remote device for stablizing transmission bessel beam, which is characterized in that institute
State the amplitude transmission coefficient further satisfaction of amplitude diaphragm: T1(ρ)×T2(ρ)；Wherein, T2The expression formula of (ρ) are as follows:
Wherein, ρ is the radial position coordinate on the amplitude diaphragm；ε1And ε2For smooth length proportionality coefficient；R1And R2Respectively
The internal diameter and outer diameter of the annular transmission region；N is smooth order, and the value of N is positive real number.
6. for generating the remote device for stablizing transmission bessel beam according to claim 2 to 5 any one,
It is characterized in that, ε1And ε2Value it is identical, and its value range be [0 0.5].
7. for generating the remote device for stablizing transmission bessel beam according to claim 2 to 5 any one,
It is characterized in that, ε1And ε2Value be 0.25.
8. stablize the device for transmitting bessel beam at a distance for generating to described in 5 any one according to claim 1,
It is characterized in that, the refractive index of the material of the positive axis axicon lens and the specific refractivity of the material of the negative axial cone mirror are at most
0.05。
9. stablize the device for transmitting bessel beam at a distance for generating to described in 5 any one according to claim 1,
It is characterized in that, the base angle of the positive axis axicon lens is 12 °；The refractive index of exterior space medium is 1.
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| Publication number | Priority date | Publication date | Assignee | Title |
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| CN110058416A (en) * | 2018-11-13 | 2019-07-26 | 首都师范大学 | It is a kind of to stablize the device and method for transmitting bessel beam at a distance for generating |
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| CN110058416A (en) * | 2018-11-13 | 2019-07-26 | 首都师范大学 | It is a kind of to stablize the device and method for transmitting bessel beam at a distance for generating |
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