CN106153307B - A kind of device and method measuring the Airy beam attenuation factors using beam intensity ratio - Google Patents
A kind of device and method measuring the Airy beam attenuation factors using beam intensity ratio Download PDFInfo
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- CN106153307B CN106153307B CN201610502342.2A CN201610502342A CN106153307B CN 106153307 B CN106153307 B CN 106153307B CN 201610502342 A CN201610502342 A CN 201610502342A CN 106153307 B CN106153307 B CN 106153307B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0207—Details of measuring devices
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01M—TESTING STATIC OR DYNAMIC BALANCE OF MACHINES OR STRUCTURES; TESTING OF STRUCTURES OR APPARATUS, NOT OTHERWISE PROVIDED FOR
- G01M11/00—Testing of optical apparatus; Testing structures by optical methods not otherwise provided for
- G01M11/02—Testing optical properties
- G01M11/0285—Testing optical properties by measuring material or chromatic transmission properties
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Abstract
A kind of device measuring the Airy beam attenuation factors using beam intensity ratio, the measuring device includes laser, transmissive spatial optical modulator, fourier lense, CCD camera and computer, transmissive spatial optical modulator and fourier lense are arranged on the linear light path of the sent out light beam of laser, and the focal length that the distance of transmissive spatial optical modulator to fourier lense is fourier lense, make the light beam that laser is sent out that can generate Airy light beams in the focal plane position of fourier lense after passing sequentially through transmissive spatial optical modulator and fourier lense, the focal plane position in fourier lense is arranged in CCD camera, light distribution for recording Airy light beams, and the CCD camera and transmissive spatial optical modulator are connect with computer.The present invention can directly measure the Airy beam attenuation factors using beam intensity ratio, improve the assurance for Airy beam properties and application.
Description
Technical field
It is specifically a kind of direct using the Airy light beam light intensity regularities of distribution the present invention relates to technical field of optical test
The device and method for measuring its decay factor.
Background technology
M.V.Berry and N.L.Balazs proposes to theoretical property the concept of Airy wave packets in quantum mechanics field（Ginseng
See paper《Nonspreading wave packets》, Am. J. Phys. Vol. 47,264-267）.Airy wave packets are one
The wave packet of kind salt free ligands, and can be propagated in space along a curve, this special propagation characteristic makes this wave packet
It is with a wide range of applications.But since this salt free ligands wave packet carries infinitely great energy, so at that time can not be
Experimentally realize.2007, G. A. Siviloglou and D. N. Christodoulides et al. drew this salt free ligands wave
Enter optical field（Referring to paper《Observation of Accelerating Airy Beams》, Phys. Rev. Lett.
Vol. 99,213901 He《Accelerating finite energy Airy beams》, Optics Letters, Vol.
32, 979）, beam energy is constrained to finite energy, and experimentally realize Airy light by them using optics " cutting toe "
The generation of beam.Due to Airy light beams have non-diffraction beam, and in space propagate when have laterally free acceleration and self-healing
The characteristics of, therefore research hotspot is increasingly becoming for the research of Airy light beams, and the research of Airy light beams is also gradually answered
Use other fields, such as optical tweezer and particle manipulation, surface plasma excimer, vacuum electronic acceleration etc..
The Airy light beams that experiment generates at present are the Beams of finite energy, are theoretically declined by an index
Deduction itemIt realizes to beam energy " cut toe ", whereinIt is decay factor.Decay factorSize directly affect
The salt free ligands of Airy light beams are propagated and light distribution.Decay factorBe characterize one of Airy light beams it is highly important
Parameter, therefore to decay factorIt is accurate measurement just seem most important.
Currently, to the Airy beam attenuation factorsAccurate measurement there is no effective method, therefore how to realize to Airy
The beam attenuation factorAccurate measure be a technical problem urgently to be resolved hurrily that technical field of optical test faces.
Invention content
The technical problem to be solved in the present invention is：There is provided one kind can directly be measured using beam intensity ratio Airy beam attenuations because
SonDevice and method, to improve assurance for Airy beam properties and application.
To achieve the above object, the technical solution adopted by the present invention is that：It is a kind of to measure Airy beam attenuations using beam intensity ratio
The device of the factor, the measuring device include laser, transmissive spatial optical modulator, fourier lense, CCD camera and calculating
Machine, the transmissive spatial optical modulator and fourier lense are arranged on the linear light path of the sent out light beam of laser,
And the focal length that the distance of transmissive spatial optical modulator to fourier lense is fourier lense, the light beam for making laser be sent out
It can be generated in the focal plane position of fourier lense after passing sequentially through transmissive spatial optical modulator and fourier lense
The focal plane position in fourier lense is arranged in Airy light beams, the CCD camera, the light intensity point for recording Airy light beams
Cloth, and the CCD camera and transmissive spatial optical modulator are connect with computer.
It is loaded with calculating hologram sheet on the transmissive spatial optical modulator.
One kind can directly measure the Airy beam attenuation factors using beam intensity ratioMethod, including reconcile out Airy light beams
The step of；The step of surface of intensity distribution of Airy light beams is acquired；Using computer software Matlab to the surface of intensity distribution
The step of being analyzed, being recorded；And the decay factor of Airy light beams is carried out using the coordinate information and intensity signal recorded
The step of calculating；
The step of conciliation Airy light beams, passes sequentially through transmissive spatial light modulation by the light beam that laser is sent out
It is generated after device and fourier lense, and the coke that the distance of transmissive spatial optical modulator to fourier lense is fourier lense
Away from；
The step of surface of intensity distribution to Airy light beams is acquired is by being arranged in fourier lense focal plane position
CCD camera photologging is carried out to the light distribution of Airy light beams after, be transferred to computer and obtain；
Described the step of being analyzed the surface of intensity distribution, recorded using computer software Matlab, is including the use of computer
Light intensity value and positions of the software Matlab to main spot position in the surface of intensity distribution, secondary facula position and third level facula position
Set the operation that coordinate is recorded；
The step of decay factor of the Airy light beams calculates is calculated by following formula：
Wherein,For the light intensity value of Airy light beams main spot position in the x direction,For Airy light beams main spot in the x direction
The position coordinates of position,For the light intensity value of Airy light beams secondary facula position in the x direction,It is Airy light beams in the directions x
The position coordinates of upper secondary facula position,For the light intensity value of Airy light beams third level facula position in the x direction,For Airy
The position coordinates of light beam third level facula position in the x direction,For the horizontal scaling factor of Airy light beams,For Airy light beams
Decay factor.
The principle of measurement method of the present invention is：
Wave equation under optical field, paraxial approximation is
...........................(1)
Wherein, k loses for light field wave.According to paraxial equation（1）, the light field expression formula of finite energy Airy light beams is,
...(2)
Wherein,For Airy functions,For nondimensional lateral coordinates,For light beam
Horizontal scaling factor,Indicate normalized propagation distance,For the decay factor of Airy light beams.For be imaginary part because
Son,Place, light field can be expressed as
.................................(3)
Light field can be write as
...................................(4)
Wherein,,Indicate Airy light beams in the x and y direction
Light field.It is hereby achieved that the light distribution of Airy light beams in the x direction, and the light intensity of Airy light beams in y-direction
Distribution.Airy light beams main spot light intensity maximum value in the x direction, position is, secondary hot spot light intensity maximum value,
Position is, third level hot spot light intensity maximum value, position is, beam intensity ratio can be expressed as
.......(5)
It is known that using formula (5), it is only necessary to determine go out Airy light beams and existThe maximum light of the different hot spots of position
It is the ratio between strong, and determine the maximum position coordinates of light intensity, so that it may to determine the decay factor of Airy light beamsAnd light beam
Horizontal scaling factor.
Beneficial effects of the present invention：
Component used in the measuring device of the present invention is universal, basis, simple, convenient, make light path have it is succinct, quickly,
Accurate feature.By detecting the coordinate of corresponding light intensity distributed point, and the decay factor of analysis light intensity ratio and Airy light beams
Between there are direct correspondences to realize the reliable measurements to the Airy beam attenuations factor and horizontal scaling factor.Measurement method
Realization during data processor it is simple, real result is reliable, for optical tweezer, particle manipulation, surface plasma excimer,
The application field of the Airy light beams such as vacuum electronic acceleration is all of great significance, and has a wide range of application.
Description of the drawings
Fig. 1 is the structural diagram of the present invention；
Fig. 2 is that Airy light beams exist in the present inventionThe surface of intensity distribution of position；
Reference numeral：1, laser, 2, transmissive spatial optical modulator, 3, fourier lense, 4, CCD camera, 5, calculate
Machine.
Specific implementation mode
Illustrate the specific implementation mode of the present invention below in conjunction with the accompanying drawings：
As shown, the present invention is realized to decay factor using the light distribution feature of Airy light beamsAccurate survey
Amount.Particularly as be the laser beam for generating laser 1 be radiated at loaded calculate hologram sheet transmissive spatial light modulation
On device 2, then light beam passes through a fourier lense 3, and generates Airy light beams in the focal plane position of fourier lense 3, thoroughly
Penetrate the focal length that the distance between formula spatial light modulator 2 and fourier lense 3 are fourier lense 3.In the coke of fourier lense 3
CCD camera 4 is placed in plan-position, is recorded to the light distribution of Airy light beams with CCD camera 4, the light intensity data letter of record
Breath is all by 4 control process of computer.The decay factor of Airy light beams is measured by analyzing the intensity signal of Airy light beams.Together
When, the horizontal scaling factor of Airy light beams can also be measured.
The measurement method of the Airy beam attenuations factor according to the present invention, specific measuring process are as follows：
（1）Transmissive spatial optical modulator, fourier lense, CCD camera have been set gradually in light path, it will be by computer
Transmissive spatial optical modulator is written in the computed hologram of generation；
（2）Laser is opened, laser beam irradiation is written on the transmissive spatial optical modulator of computed hologram, by Fu
After leaf lens, Airy light beams to be measured are generated in focal plane position；
（3）CCD camera is placed in the focal plane position of Fourier's convex lens, the surface of intensity distribution of Airy light beams is recorded and deposits
It stores up into computer；
（4）The surface of intensity distribution that Airy light beams are analyzed using computer software Matlab, it is maximum to find out main spot light intensity
Position and the maximum position of secondary hot spot light intensity, and determine the maximum position coordinates of light intensity using Matlab softwares, and remember
Record each different location light intensity ratio；
（5）The decay factor that analysis can be obtained Airy light beams is carried out to the coordinate information and light intensity ratio that are recorded；
Exist as shown in Fig. 2, it is Airy light beamsThe light intensity of position and lateral coordinates relational graph.It is the lateral directions x
The main maximum position of spot light intensity,It is the maximum position of the lateral directions x secondary spot light intensity,The lateral directions x third level spot light intensity
Maximum position.
For the present invention to the measurement methods of the Airy beam attenuation factors, key step is as follows：
（1）Transmissive spatial optical modulator 2,3 He of fourier lense are placed on the direction that laser 1 sends out light beam advance
CCD camera 4；
（2）The phase hologram of Airy light beams, write-in transmissive spatial optical modulator 1 are generated using computer holography；
（3）Light beam is radiated on transmissive spatial optical modulator 2, and CCD is utilized in the back focal plane position of fourier lense 3
Camera 4 records the intensity signal of Airy light beams, and preserves picture to computer 5；
（4）The surface of intensity distribution of Airy light beams is analyzed using Matlab softwares, and converts picture to gray-scale map.It utilizes
The analysis of Matlab softwares determines the maximum position of main spot light intensity, the maximum position of secondary spot light intensity and third level hot spot light intensity
Maximum position；
（5）Utilize formula（5）The beam intensity ratio and decay factor of offerAnd horizontal scaling factorBetween relationship, can be with
Obtain the numerical value of the Airy beam attenuations factor and horizontal scaling factor；
Our experiments show that：Apparatus of the present invention and method can utilize the analysis to Airy light beam light intensity, realize decay factor
With the measurement of horizontal scaling factor；And have the characteristics that light path succinctly, fast and accurately.
Claims (2)
1. a kind of measurement method of the Airy beam attenuations factor, includes the steps that reconciling out Airy light beams；To the light of Airy light beams
The step of strong distribution map is acquired；The step of surface of intensity distribution is analyzed, is recorded using computer software Matlab；With
And the step of decay factor calculating of Airy light beams is carried out using the coordinate information and intensity signal recorded；
Used measuring device includes laser when measurement method implementation（1）, transmissive spatial optical modulator（2）, Fu Li
Leaf lens（3）, CCD camera（4）And computer（5）, the transmissive spatial optical modulator（2）And fourier lense（3）
It is arranged in laser（1）On the linear light path of sent out light beam, and transmissive spatial optical modulator（2）To fourier lense（3）
Distance be fourier lense（3）Focal length, make laser（1）The light beam sent out is passing sequentially through transmissive spatial light modulation
Device（2）And fourier lense（3）After can be in fourier lense（3）Focal plane position generate Airy light beams, the CCD phases
Machine（4）It is arranged in fourier lense（3）Focal plane position, the light distribution for recording Airy light beams, and the CCD camera
（4）With transmissive spatial optical modulator（2）And computer（5）Connection；
The step of conciliation Airy light beams by the light beam that laser is sent out pass sequentially through transmissive spatial optical modulator and
It is generated after fourier lense, and the focal length that the distance of transmissive spatial optical modulator to fourier lense is fourier lense；
The step of surface of intensity distribution to Airy light beams is acquired is by being arranged the CCD in fourier lense focal plane position
After camera carries out photologging to the light distribution of Airy light beams, it is transferred to computer and obtains；
Described the step of being analyzed the surface of intensity distribution, recorded using computer software Matlab, is including the use of computer software
Matlab sits main spot position, the light intensity value of secondary facula position and third level facula position and position in the surface of intensity distribution
Mark the operation recorded；
The step of decay factor of the Airy light beams calculates is calculated by following formula：
Wherein,For the light intensity value of Airy light beams main spot position in the x direction,For Airy light beams main spot position in the x direction
The position coordinates set,For the light intensity value of Airy light beams secondary facula position in the x direction,It is secondary in the x direction for Airy light beams
The position coordinates of grade facula position,For the light intensity value of Airy light beams third level facula position in the x direction,For Airy light beams
The position coordinates of third level facula position in the x direction,For the horizontal scaling factor of Airy light beams,For declining for Airy light beams
Subtracting coefficient.
2. a kind of measurement method of Airy beam attenuations factor according to claim 1, it is characterised in that：The transmission
Formula spatial light modulator（2）On be loaded with calculating hologram sheet.
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| US8101929B1 (en) * | 2008-04-24 | 2012-01-24 | University Of Central Florida Research Foundation, Inc. | Diffraction free, self-bending airy wave arrangement |
| WO2011120582A1 (en) * | 2010-03-31 | 2011-10-06 | Aktuerk Selcuk | Method and device for generation of accelerating airy beams |
| ES2898616T3 (en) * | 2012-04-03 | 2022-03-08 | Univ Court Univ St Andrews | High resolution images of extended volumes |
| CN103018918B (en) * | 2013-01-18 | 2014-11-05 | 苏州大学 | Method and device for generating radial or angled polarization self-focusing Airy beam |
| CN103743480B (en) * | 2014-01-03 | 2016-02-10 | 中国科学院上海光学精密机械研究所 | The measuring method of Airy beam acceleration curve |
| CN104765153B (en) * | 2015-04-21 | 2017-08-25 | 浙江师范大学 | The production method and device of one species Airy beam |
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Application publication date: 20161123 Assignee: Henan Yunyi Software Technology Co., Ltd. Assignor: Henan University of Science and Technology Contract record no.: X2019980000356 Denomination of invention: Device and method of using light intensity ratio to measure Airy beam attenuation factor Granted publication date: 20180928 License type: Common License Record date: 20191111 |
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