A kind of generator and production method of perfect IG vortex beams
Technical field
The present invention relates to microgranule light is manipulated and optical testing art, specifically a kind of generation of perfect IG vortex beams
Device and production method.
Background technology
Vortex beams have a wide range of applications at aspects such as optics trapping, manipulation fine particles.Become information light in recent years
The very important study hotspot in one, field.But the size of common vortex beams Center Dark Spot is with the increasing of topological charge values
Plus and increase.However, in the related capture of optical eddy and the application scenario for manipulating microgranule, it is often desired to while obtaining big
Topological charge and less Center Dark Spot.In order to solve this problem, 2013, Andrey S. Ostrovsky et al. were proposed
The perfect concept being vortexed, the vortex beams bright ring radius do not rely on topological charge values【Opt. Lett. 38, 534 2013】.But
The method can produce the extra spuious ring of light with perfection vortex beams.2015, Pravin Vaity etc. were by shellfish plug
That-Gaussian beam does Fourier transformation, and so as to obtain, the integer rank without the extra ring of light is perfect to be vortexed【Opt. Lett. 40, 597
2015】。
On the other hand, as long as oval hollow beam can change the shape of light beam due to changing ellipticity.Therefore, in micro- behaviour
The aspects such as control cold atom cluster receive much attention.The Ince-Gaussian that Bandres in 2004, Miguel A. et al. are proposed
(IG) vortex beams【J. Opt. Soc. Am. A.21,873 2004】Due to stable oval light distribution, always
Since paid close attention to by researchers.2006, Bentley, J. B, Davis, J. A. et al. were existed by liquid crystal display
IG vortex beams are generated experimentally【Opt. Lett. 31, 649 2006】.2011, Mike Woerdemann et al. made
The manipulation of microgranule is carried out with IG vortex beams【Applied Physics Letters.98,111101 2011】.
In sum, in vortex beams research field, still lack a kind of radius that can be used for particle manipulation not with topology
The oval vortex beams of charge values change(That is perfection IG vortex beams)Generator and production method.
The content of the invention
The technical problem to be solved is to provide a kind of generator and production method of perfect IG vortex beams,
For producing a kind of radius not with the oval vortex beams of topological charge value changes.
The present invention for the solution technical scheme that adopts of above-mentioned technical problem is:A kind of generation dress of perfect IG vortex beams
Put, including a continuous-wave laser(100), the continuous-wave laser(100)The reflected mirror of light beam for sending(110)It is radiated at
Collimator and extender device(120)On, collimated beam expander(120)The light beam of collimation sequentially passes through the polarizer(140), beam-dividing cube
(150), by beam-dividing cube(150)The light beam of reflection is radiated at reflective spatial light modulator(200)On, reflected formula space
Photomodulator(200)The light beam of reflection is radiated at beam-dividing cube again(150)On, and pass through beam-dividing cube(150)Irradiation
In aperture(210)On, through aperture(210)Light beam be radiated at analyzer(141)On, by analyzer(141)Thoroughly
The light beam planoconvex lens penetrated(130)It is radiated at CCD camera(300)On, described reflective spatial light modulator(200)And CCD
Camera(300)And computer(400)Connection, CCD camera(300)The light intensity pattern for capturing is transferred to computer(400)Enter
Row is processed.
The method that perfect vortex beams are produced using the generator of perfect IG vortex beams, comprises the following steps:
Step one, combination calculate principle of holography, using computer(400)Generate IG vortex beams through oval axicon lens with
The plot of light intensity of plane wave interference, detailed process are as follows:
The electric field of plane wave is expressed as:
Wherein, E0Represent oscillator intensity;K represents wave number;Z represents propagation distance;
The electric field for impinging perpendicularly on the IG vortex beams of the Gaussian modulation on oval axicon lens is expressed as:
Wherein,For amplitude constant;For waist radius;I is imaginary unit;WithThe respectively footpath of elliptical coordinate system
To with angular elliptic variables;Represent the ellipticity of elliptical coordinate system;WithRespectively even
With odd because of this multinomial;M is because of this polynomial series, while being also equal to topological charge number;P is because of this polynomial exponent number, m
There is identical parity all the time with p;
The complex amplitude transmittance function of oval axicon lens is:
In formula, n is oval axicon lens Refractive Index of Material, and a is the cone angle of oval axicon lens, i.e., the oval axicon lens conical surface with
The angle of baseplane;K is wave number, and R is oval axicon lens pupil radius;
IG vortex beams with the COMPLEX AMPLITUDE of plane wave interference are after oval axicon lens:
;
Step 2, generation complex amplitude E1Plot of light intensity as hologram, and utilize computer(400)It is written into Reflective spatial
Photomodulator(200);
Step 3, opening continuous-wave laser(100)Power supply, continuous-wave laser(100)The light beam for sending is by reflecting mirror(110)
After reflection, into collimator and extender device(120)Beam-expanding collimation is carried out, the light beam after collimation is approximately plane wave, and through the polarizer
(140)After be changed into line polarized light, be radiated at beam-dividing cube(150)On;Jing beam-dividing cubes(150)Light beam afterwards is divided into two
Beam, it is a branch of for reflected light, it is a branch of for transmitted light;Described the reflected beams are radiated at reflective spatial light modulator(200)On;
Step 4, it is radiated at reflective spatial light modulator(200)On light beam for diffraction reconstruction Jing ellipse axicon lens adjust
The IG vortex beams of system;The light beam of diffraction reconstruction is through beam-dividing cube(150)After be radiated at aperture(210)On, to
+ 1 order diffraction light beam is filtered out, afterwards by analyzer(141)It is radiated at convex lenss(130)On carry out Fourier transformation and generated
Beautiful IG vortex beams.
The perfect IG vortex beams generated in step 4 are in CCD camera(300)After middle imaging, image enters computer
(400)Carry out subsequent analysis;According to computer(400)Analysis result, by the numerical value of m and p in regulating step one, obtain light
Ring perfect IG vortex beams of different sizes.
The invention has the beneficial effects as follows:Compared with prior art, the generator of perfection IG vortex beams of the invention and side
Method can realize parameter can real-time online freely regulate and control ellipse perfection vortex beams, the radius of vortex beams can not be with topology
Charge values change;Apparatus of the present invention have the advantages that principle is succinct, with low cost, parameter can real-time online adjust, it is easily operated;Can
It is widely used in the fields such as the manipulation of microgranule light, optic test.
Description of the drawings
Fig. 1 is the structural representation of perfection IG vortex beams generators of the invention;
Fig. 2 is m=7, the plot of light intensity of the perfect IG vortex beams of p=11 computer-chronographs record;
Fig. 3 is m=9, the plot of light intensity of the perfect IG vortex beams of p=11 computer-chronographs record;
Fig. 4 is m=11, the plot of light intensity of the perfect IG vortex beams of p=11 computer-chronographs record;
Fig. 5 is m=10, the plot of light intensity of the perfect IG vortex beams of p=14 computer-chronographs record;
Fig. 6 is m=12, the plot of light intensity of the perfect IG vortex beams of p=14 computer-chronographs record;
Fig. 7 is m=14, the plot of light intensity of the perfect IG vortex beams of p=14 computer-chronographs record.
Labelling in figure:100th, continuous-wave laser, 110, reflecting mirror, 120, collimator and extender device, 130, convex lenss, 140,
The polarizer, 141, analyzer, 150, beam-dividing cube, 200, reflective spatial light modulator, 210, aperture, 300, CCD
Camera, 400, computer.
Specific embodiment
A kind of generator of perfect IG vortex beams, including a continuous-wave laser(100), the continuous-wave laser
(100)The reflected mirror of light beam for sending(110)It is radiated at collimator and extender device(120)On, collimated beam expander(120)The light of collimation
Beam sequentially passes through the polarizer(140), beam-dividing cube(150), by beam-dividing cube(150)The light beam of reflection is radiated at reflective
Spatial light modulator(200)On, reflected formula spatial light modulator(200)The light beam of reflection is radiated at beam-dividing cube again
(150)On, and pass through beam-dividing cube(150)It is radiated at aperture(210)On, through aperture(210)Light beam shine
Penetrate in analyzer(141)On, by analyzer(141)The light beam planoconvex lens of transmission(130)It is radiated at CCD camera(300)On, institute
The reflective spatial light modulator stated(200)And CCD camera(300)And computer(400)Connection, CCD camera(300)Catch
To light intensity pattern be transferred to computer(400)Processed.
The method that perfect vortex beams are produced using the generator of perfect IG vortex beams, comprises the following steps:
Step one, combination calculate principle of holography, using computer(400)Generate IG vortex beams through oval axicon lens with
The plot of light intensity of plane wave interference, detailed process are as follows:
The electric field of plane wave is expressed as:
Wherein, E0Represent oscillator intensity;K represents wave number;Z represents propagation distance;
The electric field for impinging perpendicularly on the IG vortex beams of the Gaussian modulation on oval axicon lens is expressed as:
Wherein,For amplitude constant;For waist radius;I is imaginary unit;WithThe respectively footpath of elliptical coordinate system
To with angular elliptic variables;Represent the ellipticity of elliptical coordinate system;WithRespectively even
With odd because of this multinomial;M is because of this polynomial series, while being also equal to topological charge number;P is because of this polynomial exponent number, m
There is identical parity all the time with p;
The complex amplitude transmittance function of oval axicon lens is:
In formula, n is oval axicon lens Refractive Index of Material, and a is the cone angle of oval axicon lens, i.e., the oval axicon lens conical surface with
The angle of baseplane;K is wave number, and R is oval axicon lens pupil radius;
IG vortex beams with the COMPLEX AMPLITUDE of plane wave interference are after oval axicon lens:
;
Step 2, generation complex amplitude E1Plot of light intensity as hologram, and utilize computer(400)It is written into Reflective spatial
Photomodulator(200);
Step 3, opening continuous-wave laser(100)Power supply, continuous-wave laser(100)The light beam for sending is by reflecting mirror(110)
After reflection, into collimator and extender device(120)Beam-expanding collimation is carried out, the light beam after collimation is approximately plane wave, and through the polarizer
(140)After be changed into line polarized light, be radiated at beam-dividing cube(150)On;Jing beam-dividing cubes(150)Light beam afterwards is divided into two
Beam, it is a branch of for reflected light, it is a branch of for transmitted light;Described the reflected beams are radiated at reflective spatial light modulator(200)On;
Step 4, it is radiated at reflective spatial light modulator(200)On light beam for diffraction reconstruction Jing ellipse axicon lens adjust
The IG vortex beams of system;The light beam of diffraction reconstruction is through beam-dividing cube(150)After be radiated at aperture(210)On, to
+ 1 order diffraction light beam is filtered out, afterwards by analyzer(141)It is radiated at convex lenss(130)On carry out Fourier transformation and generated
Beautiful IG vortex beams.
The perfect IG vortex beams generated in step 4 are in CCD camera(300)After middle imaging, image enters computer
(400)Carry out subsequent analysis;According to computer(400)Analysis result, by the numerical value of m and p in regulating step one, obtain light
Ring perfect IG vortex beams of different sizes.
Fig. 2-Fig. 7 is one group of perfection IG vortex beams plot of light intensity of the record of computer 400, is radially referred in Fig. 2, Fig. 3, Fig. 4
P take number is 11, topological charge values m=7,9,11(IG light beam request m and p have identical parity);In Fig. 5, Fig. 6, Fig. 7
The radial direction index p for taking is 14, topological charge values m=10,12,14.In figure, 2a represents the major axis of the oval ring of light, and 2b represents short axle.By scheming
As can be seen that as the change of topological charge m, ring of light radius are almost unchanged, defining the perfect vortex of ellipse.And, the ring of light
Major axis and short axle reduce with the increase of the radial direction index p of IG light beams.Therefore, the perfect IG vortex beams that the present invention is produced can
Ring of light size is adjusted with by adjusting radial direction index p.
Apparatus of the present invention and method can produce perfect IG vortex beams, and have that principle is succinct, simple structure, can be online
Regulation and control, it is easy to the advantage of operation.