CN109491081A - A kind of design method of the vortex beams mask plate of oblique line compression phase step - Google Patents
A kind of design method of the vortex beams mask plate of oblique line compression phase step Download PDFInfo
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- CN109491081A CN109491081A CN201811561419.9A CN201811561419A CN109491081A CN 109491081 A CN109491081 A CN 109491081A CN 201811561419 A CN201811561419 A CN 201811561419A CN 109491081 A CN109491081 A CN 109491081A
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- oblique line
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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
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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
- G02B27/09—Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
- G02B27/0938—Using specific optical elements
- G02B27/0988—Diaphragms, spatial filters, masks for removing or filtering a part of the beam
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- Preparing Plates And Mask In Photomechanical Process (AREA)
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Abstract
A kind of design method of the vortex beams mask plate of oblique line compression phase step, steps are as follows: radially ending the factor in conjunction with a MOD function, a plane wave factor and two-value, obtains the transmittance function of the vortex beams mask plateT, by choosing different parameters valuem、KWitha 1, bring the transmittance function intoTIt can be obtained the vortex beams mask plate of the oblique line compression phase step.The vortex beams of oblique line compression phase step are can produce by the mask plate that the design method makes.Its singular point of the vortex beams of this oblique line compression phase step is helically distributed, and compress oblique line slop control the helicity of singular point arrangement, provide a kind of unprecedented novel light field mode distribution, there is important application value in particle manipulation field.
Description
Technical field
The present invention relates to particle light to manipulate field, specifically a kind of vortex beams mask of oblique line compression phase step
The design method of plate.
Background technique
Optical eddy carries orbital angular momentum, has a wide range of applications in terms of optics trapping, manipulation.At
For one very important research hotspot of information optical field in recent years.
In the research manipulated to particle light, the rich flexibility that directly decide light manipulation of vortex beams mode.
One of them example outstanding is the application of fractional order vortex beams, and 2005, Yuan little Cong etc. successfully used fractional order vortex
Light beam realizes particle sequence [Opt.Express, 2005,7726-7731].Other example focuses primarily upon asymmetric vortex
The generation of light beam.Jos é A.Rodrigo in 2015 etc. has studied free style 3D laser traps, and one kind can be used for studying CD-ROM drive kinetochore
The tool of subdynamics, wherein completing capture of the light beam of different shapes to particle.[Optica, 2015,812-815].
2016, ALEXEYA.KOVALEV etc. manipulated particle using asymmetric Laguerre-Gaussian beam, realized particle on the ring of light
Variable accelerated motion [Opt.Lett.41,2426 (2016)].2018, Jos é A.Rodrigo etc. was further studied, and used three
Dimension moulding light beam realizes a kind of optical manipulation for having node.
However, current asymmetric mode distribution focuses primarily upon the regulation of phase gradient, and for the tune of phase step
The generation of fractional order vortex beams has also only been limited in control.Therefore the regulation of phase step is needed further to be studied.To sum up
It is found that still lacking a kind of novel light for phase step regulation at present to further widen the distribution of the mode of vortex beams
?.
Summary of the invention
Object of the present invention is to deficiencies to solve above-mentioned technical problem, provide a kind of vortex of oblique line compression phase step
The design method of light beam mask plate can produce the vortex of oblique line compression phase step by the mask plate that the design method makes
Light beam.Its singular point of the vortex beams of this oblique line compression phase step is helically distributed, and compresses the slop control of oblique line
The helicity of singular point arrangement provides a kind of unprecedented novel light field mode distribution, has in particle manipulation field important
Application value.
Used technical solution is the present invention to solve above-mentioned technical problem: a kind of vortex of oblique line compression phase step
The design method of light beam mask plate,
Step 1: radially ending the factor in conjunction with a MOD function, a plane wave factor and two-value, obtains the vortex beams and cover
The transmittance function T of template, transmittance function T expression formula are as follows:
Wherein, (r, θ) is polar coordinate system variable；W is the waist radius of light beam；M by proposition oblique line compression phase step whirlpool
The topological charge values of optically-active beam；im2bw[exp(-r2/w2)(2r2/w2)|m|/2] it is by gray matrix exp (- r2/w2)( 2r2 /
w2)|m|/2Be changed into the function of two values matrix, to realize the cut-off of a radial direction, by incident laser energy be limited in one with open up
It flutters on the related annulus of lotus m；Ang (A)=atan (Aimag/Areal) it is that angular function is asked to imaginary number A, wherein ArealWith AimagPoint
It is not the real part and imaginary part of imaginary number A；Rem (θ m, f) be MOD function, the remainder that representative function θ m step-by-step is obtained divided by function f,
It is to realize oblique line compression to phase；F is step function related with oblique line slope；2 π x/d are balzed grating, item, to produce
The plane wave factor that raw a cycle is d, effect is will to measure to concentrate on+1 grade of diffraction；
The step function f, expression formula are as follows:
Wherein K is the slope of used oblique line；ajIt is the size of j-th of phase step；bjFor the interval of adjacent two phase place step；
K controls the slope of used oblique line, a1Control the degree that oblique line compresses phase step；It is adjustable by regulation topological charge m
Control the phase gradient of the vortex beams of proposed oblique line compression phase step；In order to meet phase value range 0~2 π, K and a1
Meet 2 π K+ (m-K) a1/m≤2π；
Step 2: by choosing different parameters value m, K and a1, bringing the transmittance function T into can be obtained the oblique line
The vortex beams mask plate of compression phase step.
In the present solution, in the step one, ajWith bjIt is indicated by following recurrence formula:
In actual operation, incident beam of a branch of flat top beam as the vortex beams mask plate is modulated, thus remote
Field generates a vortex beams；Its singular point of the vortex beams is helically distributed, and compress oblique line slop control singular point arrangement
Helicity；By regulating and controlling parameter m, K and a1The vortex beams of mode difference oblique line compression phase step can be obtained.
The present invention, by designing the beam phase overall situation, realizes phase step by a spy using principle of holography is calculated
Determine the phase structure that the oblique line of slope is compressed.Gained phase structure is encoded in light beam complex amplitude expression formula.To,
Itd is proposed mask plate far field produces the vortex beams of oblique line compression phase step.The vortex light of this oblique line compression phase step
Its singular point of beam is helically distributed, and compress oblique line slop control the helicity of singular point arrangement, provide before one kind institute not
The novel light field mode distribution having, thus there is important application value in particle manipulation field.
Technical effect of the invention:
Mask plate designed by the present invention may be implemented to generate the vortex light of oblique line compression phase step in the far field of the mask plate
Beam.Its topological charge number is determined that the slope of used compression oblique line can be determined by a parameter K, to phase step by parameter m
Compression degree can be by parameter a1Control.By regulating and controlling parameter m, K and a1The whirlpool of available mode difference oblique line compression phase step
Optically-active beam has greatly widened the rich of vortex light field mode, thus has very important answer in particle manipulation technology
Use prospect.
Detailed description of the invention
Fig. 1 is the vortex beams mask plate that the present invention generates oblique line compression phase step.The mask plate parameter value is m=
5, K gets 0.5, a every 0.1 from 0.21=1.019 π.
Fig. 2 is the vortex beams for the oblique line compression phase step that mask plate demonstrated in Figure 1 generates.
Specific embodiment
Fig. 1 is the vortex beams mask plate of the oblique line compression phase step generated in the specific embodiment of the invention, thoroughly
Crossing rate function T can indicate are as follows:
Wherein, (r, θ) is polar coordinate system variable；W is the waist radius of light beam, and specific embodiment value is 10.5mm；M is institute
It is proposed the topological charge values of the vortex beams of oblique line compression phase step；im2bw[exp(-r2/w2)(2r2/w2)|m|/2] it is by gray scale
Matrix exp (- r2/w2)(2r2/w2)|m|/2It is changed into the function of two values matrix, to realize the cut-off of a radial direction, by incident light
Energy limit is on an annulus related with topological charge m；Ang (A)=atan (Aimag/Areal) it is that angular letter is asked to imaginary number A
Number, wherein ArealWith AimagIt is the real part and imaginary part of imaginary number A respectively；Rem (θ m, f) is MOD function, and representative function θ m step-by-step removes
With the remainder that function f is obtained, to realize oblique line compression to phase；F is step function related with oblique line slope；2πx/d
For balzed grating, item, to generate the plane wave factor that a cycle is d, effect is will to measure to concentrate on+1 grade of diffraction, tool
Value is 0.26mm in body embodiment.
Radially end the factor in combination with a MOD function, a plane wave factor and two-value, obtains the vortex beams and cover
The transmittance function T of template.
The step function f can be indicated by following formula:
Wherein K is the slope of used oblique line；ajIt is the size of j-th of phase step；bjFor the interval of adjacent two phase place step；
ajWith bjIt can be indicated by following recurrence formula:
By the expression formula of function f it is found that the phase step of the vortex beams mask plate of the oblique line compression phase step proposed can
By parameter K and a1Regulation.K controls the slope of used oblique line, a1Control the degree that oblique line compresses phase step.In addition,
The phase gradient that the vortex beams of proposed oblique line compression phase step can be regulated and controled by regulating and controlling topological charge m.In order to meet phase
Position value range 0~2 π, K and a1Meet 2 π K+ (m-K) a1/m≤2π。
In actual operation, incident beam of a branch of flat top beam as the vortex beams mask plate is modulated, thus remote
Field generates a vortex beams；Its singular point of the vortex beams is helically distributed, and compress oblique line slop control singular point arrangement
Helicity；By regulating and controlling parameter m, K and a1The vortex beams of mode difference oblique line compression phase step can be obtained.
Embodiment
Below by taking the mask plate of 512 × 512 sizes as an example, oblique line pressure is given for the laser that operation wavelength is 532nm
The vortex beams mask plate of contracting phase step.Mask plate topology charge values value m=5 compresses oblique line slope K=0.2~0.5,
First phase step size value a1=1.019 π are finally obtained according to the mask plate transmittance function in specific embodiment
The vortex beams mask plate of oblique line compression phase step.The vortex beams that Fig. 1 gives the oblique line compression phase step are covered
Template.The vortex beams mask plate of this oblique line compression phase step can be realized by a spatial light modulator.With moral
For the PLUTO-VIS-016 type phase spatial light modulator of Holoeye company, state, 8 μm of Pixel Dimensions, fill factor is
93%, resolution ratio is 1920pixel × 1080pixel.The continuous wave solid state laser for the use of wavelength being 532nm in experiment, function
Rate is 100mW.
Shown in Fig. 2, the vortex beams mask plate of our oblique line compression phase steps generated is in numerical aperture NA=
Light distribution on 0.025 lens focal plane.It can be seen from the figure that we have obtained the vortex of oblique line compression phase step
Light beam, and increase to 0.5 by 0.2 with oblique line slope K is compressed, the helix degree of the helix where dark core is increasing, pole
The big mode distribution for having widened vortex beams.Ours the experimental results showed that, the compression of this oblique line that proposes through the invention
The vortex beams mask plate of phase step, the vortex beams of available oblique line compression phase step.This will be optics minute yardstick
Manipulation provides more abundant operating pattern.
In conclusion the invention proposes a kind of specific design sides of the vortex beams mask plate of oblique line compression phase step
Case and embodiment, and by taking the condenser lens of NA=0.025, topological charge m=5 as an example, it is swashing for 532nm for operation wavelength
Light proposes a kind of technology implementation route of the vortex beams mask plate of oblique line compression phase step.
It is specific that the vortex beams mask plate that the above generates oblique line compression phase step only expresses one kind of the invention
Embodiment, it cannot be understood as limiting the scope of the invention.It should be pointed out that for the general of this field
It, can also be to the specific implementation that this patent is proposed under the premise of not departing from basic thought of the present invention for logical technical staff
Details makes several modifications and improvements, and these are all within the scope of protection of the present invention.
Claims (3)
1. a kind of design method of the vortex beams mask plate of oblique line compression phase step, it is characterised in that:
Step 1: radially ending the factor in conjunction with a MOD function, a plane wave factor and two-value, obtains the vortex beams and cover
The transmittance function T of template, transmittance function T expression formula are as follows:
Wherein, (r, θ) is polar coordinate system variable；W is the waist radius of light beam；M by proposition oblique line compression phase step whirlpool
The topological charge values of optically-active beam；im2bw[exp(-r2/w2)(2r2/w2)|m|/2] it is by gray matrix exp (- r2/w2)( 2r2 /
w2)|m|/2Be changed into the function of two values matrix, to realize the cut-off of a radial direction, by incident laser energy be limited in one with open up
It flutters on the related annulus of lotus m；Ang (A)=atan (Aimag/Areal) it is that angular function is asked to imaginary number A, wherein ArealWith AimagPoint
It is not the real part and imaginary part of imaginary number A；Rem (θ m, f) be MOD function, the remainder that representative function θ m step-by-step is obtained divided by function f,
It is to realize oblique line compression to phase；F is step function related with oblique line slope；2 π x/d are balzed grating, item, to produce
The plane wave factor that raw a cycle is d；
The step function f, expression formula are as follows:
Wherein K is the slope of used oblique line；ajIt is the size of j-th of phase step；bjFor the interval of adjacent two phase place step；K
Control the slope of used oblique line, a1Control the degree that oblique line compresses phase step；It is controllable by regulation topological charge m
The phase gradient of the vortex beams of proposed oblique line compression phase step；K and a1Meet 2 π K+ (m-K) a1/m≤2π；
Step 2: by choosing different parameters value m, K and a1, bringing the transmittance function T into can be obtained the oblique line pressure
The vortex beams mask plate of contracting phase step.
2. a kind of design method of the vortex beams mask plate of oblique line compression phase step according to claim 1, special
Sign is: in the step one, ajWith bjIt is indicated by following recurrence formula:
3. generating the vortex light of oblique line compression phase step using the mask plate of design method according to claim 1 preparation
The method of beam, it is characterised in that:
Incident beam of a branch of flat top beam as the vortex beams mask plate is modulated, to generate a vortex beams in far field；
Its singular point of the vortex beams is helically distributed, and compress oblique line slop control singular point arrangement helicity；
By regulating and controlling parameter m, K and a1The vortex beams of mode difference oblique line compression phase step can be obtained.
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| CN201811561419.9A CN109491081B (en) | 2018-12-19 | 2018-12-19 | Design method of vortex light beam mask plate with oblique line compression phase step |
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| CN201811561419.9A CN109491081B (en) | 2018-12-19 | 2018-12-19 | Design method of vortex light beam mask plate with oblique line compression phase step |
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Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103941402A (en) * | 2014-03-22 | 2014-07-23 | 中南大学 | Method for generating vortex light with rotation angular momentum and vortex light array with rotation angular momentum |
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Patent Citations (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103941402A (en) * | 2014-03-22 | 2014-07-23 | 中南大学 | Method for generating vortex light with rotation angular momentum and vortex light array with rotation angular momentum |
Non-Patent Citations (2)
| Title |
|---|
| 孟祥君 等: "平面光斜入射叉形光栅获取涡旋光束的特性", 《中国激光》 * |
| 宋晓芳: "不同拓扑荷数的涡旋光束衍射特性研究", 《万方平台--学位论文》 * |
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Application publication date: 20190319 Assignee: Luoyang pingconvex Technology Co.,Ltd. Assignor: HENAN University OF SCIENCE AND TECHNOLOGY Contract record no.: X2021980013091 Denomination of invention: A design method of vortex beam mask with oblique compressed phase step Granted publication date: 20201222 License type: Exclusive License Record date: 20211125 |