CN109713554A - A kind of production method of Laguerre Gauss vortex beams - Google Patents

A kind of production method of Laguerre Gauss vortex beams Download PDF

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CN109713554A
CN109713554A CN201910084977.9A CN201910084977A CN109713554A CN 109713554 A CN109713554 A CN 109713554A CN 201910084977 A CN201910084977 A CN 201910084977A CN 109713554 A CN109713554 A CN 109713554A
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lens
vortex beams
filtering
aperture
gauss vortex
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CN109713554B (en
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梁晓燕
潘望军
徐露
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Shanghai Institute of Optics and Fine Mechanics of CAS
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Shanghai Institute of Optics and Fine Mechanics of CAS
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Abstract

A kind of production method of Laguerre Gauss vortex beams, including optimization filtering small aperture, build and adjust optical path.Present invention utilizes in large laser system --- 4F Image relaying and spatial filter arrangement and its feature simple to operation, the spinning behaviour of wavefront is not influenced using the filtering of frequency domain circular hole, Gauss vortex beams are made to be converted into Laguerre Gauss vortex beams by calculating the optimal filtering apertures of selection, overcome the shortcomings that light intensity of traditional Gauss vortex beams changes with propagation distance, in conjunction with optical parameter chirped pulse amplification or chirped pulse laser amplification technique, can be used for generating the theory of relativity magnitude vortex laser pulse with wide application prospect.

Description

A kind of production method of Laguerre Gauss vortex beams
Technical field
The present invention relates to ultra-short intense laser system, especially a kind of acquisition be adapted to optical parameter chirped pulse amplification or The method of the Laguerre Gauss vortex beams of person's chirped pulse laser amplifier.
Background technique
The fast development of ultra-short intense laser technology, so that the exploratory development of light-matter interaction has marched toward phase To the field of discussing.The electric field of ultra-intense ultra-short laser pulse can achieve even remote hyperonic atom Coulomb field 109The magnitude of V/cm, Its corresponding peak strength is about 1014-1015W/cm2.At this point, laser electric field can influence and manipulate the electricity in atom The processes such as son movement, distribution and ionization.When light intensity is further increased to 1017-1018W/cm2(hundred terawatt (TW) grade laser, that is, reachable afterwards To), in the mechanism with substance, the electromagnetic field of rising edge of a pulse ionizes rapidly corresponding ultra-intense ultra-short laser pulse at this time Material composition generates plasma, and ultrashort time scale (femtosecond) interior plasma has little time to spread;Main pulse part is real Border be with Plasma Interaction.Oscillation of the free electron of ionization in the electromagnetic field of main pulse easily reaches relatively Stoichiometric grade.Furthermore detection important in inhibiting of the ultrashort time domain scale of femtosecond for ultra-high speed physical phenomena.
When orbital angular momentum on ultra-short intense laser band, i.e., superpower ultrashort vortex laser;Then above-mentioned ultra-short intense laser with When material atom, molecule, ion or Plasma Interaction, then need to consider the shadow of an important additional physical quantity Ring --- orbital angular momentum.In terms of quantum visual angle, the state transition of either molecular system, atomic system or free electron all must The conservation of energy, the conservation of momentum and orbital angular momentum conservation must be abided by.Therefore vortex laser participate in molecule, ion, atom or from It just needs to further contemplate by orbital angular momentum conservation when electron interaction, the taboo in orbital angular momentum non-conservation Only transition then becomes possible at this time.And the interaction between the theory of relativity vortex laser and plasma is then more enriched and is drawn People's interest
However, by means of existing laser amplification technique, such as optical parameter chirped pulse amplification or chirped pulse laser Amplifying technique directly amplifies the quick variation characteristic near field for being but limited to Gauss vortex beams to Gauss vortex beams.It is existing Some laser amplification techniques are more applicable for that diversity is small, the approximate constant light beam of transverse intensity distribution of light beam, such as heavy caliber Gauss light Beam and Laguerre Gauss vortex beams.Therefore, in order to obtain superpower ultrashort vortex laser, how effective acquisition Laguerre Gauss whirlpool The problem of optically-active beam, is following.
Summary of the invention
The purpose of the present invention is to propose to a kind of methods of the Laguerre Gauss vortex beams of acquisition, are dissipated with efficient Property the approximate constant Laguerre Gauss vortex light suitable for existing ultra-short intense laser amplification system of small, beam cross section distribution Beam.It is simple easy this process employs 4f Image relaying common in existing ultra-short intense laser system and spatial filter arrangement The acquisition for realizing Laguerre Gauss vortex beams of operation.
Technical solution of the invention is as follows:
A kind of production method of Laguerre Gauss vortex beams, includes the following steps:
1. determine parameter, including optical maser wavelength, beam radius, the first lens focal length, according to wavelength, the coke of the first lens Away from by the Gauss vortex beams Fourier transformation of determining radius to frequency domain;
2. assuming a filtering apertures, frequency domain light intensity is filtered, obtained inverse Fourier transform is made the return trip empty domain;It will become Airspace after alternatively is compared with target Laguerre Gauss vortex beams, obtains Laguerre Gauss vortex beams proportion;
3. choosing different filtering apertures, 2. process is repeated, is compared under different pore size shared by Laguerre Gauss vortex beams Specific gravity chooses filtering small aperture corresponding to specific gravity maximum, makes the filtering aperture in corresponding aperture;
4. building optical path: being sequentially placed phase modulation component, the first lens, filtering aperture and second in optical path incident direction Lens;
5. the position of adjustment phase place modulation element is overlapped the center of phase modulation component with the center of incident beam;
6. adjust the first lens to phase modulation component distance so that phase modulation component is located at the preceding coke of the first lens On face, the position of the first lens is adjusted, so that the center of incident beam is overlapped with the center of the first lens;
7. adjustment filtering aperture is located at filtering aperture on the back focal plane of the first lens, adjusts to the distance of the first lens The position for filtering aperture makes to filter aperture and incident beam is coaxial;
8. the distance for adjusting the second lens to filtering aperture is adjusted so that filtering aperture is located on the front focal plane of the second lens The position of whole second lens keeps the second lens and incident beam coaxial;
9. incident laser beam encloses helical phase after the phase modulation component, become Gauss vortex beams, it should Gauss vortex beams cause the domain space above focal plane, the filtering aperture above focal plane through first lens Fourier transformation After being modulated to the Gauss vortex beams of frequency domain, the second lens cause Gauss vortex beams Fourier transformation after frequency domain modulation empty Between domain, complete the effect of Image relaying, Laguerre Gauss vortex beams obtained on the back focal plane of the second lens.
The focal length of the wavelength of the size used for filtering aperture and initial laser beam, spot size and the first lens Correlation, and it is insensitive to the size variation of filtering aperture.
The phase modulation component is spiral phase plate, spatial light modulator or q wave plate, is completed to laser beam spiral shell Revolve the modulation of phase.
If the focal length f of the first lens1, the focal length f of the second lens2, work as f1> f2When, lens group is light beam attenuator;When f1< f2When, lens group is beam expander device;Work as f1=f2When, lens group is Image relaying device.
It is also on the front focal plane of second lens that the filtering aperture, which is located at the back focal plane of first lens,.
The laser beam that laser system front end comes out passes through phase modulation component, and affix helical phase becomes Gauss whirlpool Optically-active beam;When Gauss vortex beams pass through 4f Image relaying system, caused above common focal plane by first lens Fourier transformation Domain space;The Gauss vortex beams of filtering aperture focal plane frequency domain above common focal plane are modulated;Second Gauss vortex beams Fourier transformation uniform space domain, completes the effect of Image relaying after a lens modulate frequency domain, obtains drawing lid That Gauss vortex beams.
The present invention does not influence the spinning behaviour of Beam Wave-Front, and only changes the distribution of light beam light intensity.
The present invention has following technical effect that
1) laser beam come out through laser system front end becomes Gauss vortex beams by phase modulation component, passes through The aperture of 4f system particular size carries out space filtering, obtained Laguerre Gauss vortex beams.
2) simple and easy using the common 4f Image relaying spatial filter arrangement in laser system, it is not necessarily to additional extension Laser system, so that laser system is compact-sized.
3) it is fast-changing to solve the problems, such as that Gauss vortex beams intensity distribution in cross-section is distributed near field region, has obtained diversity Small, the approximate constant Laguerre Gauss vortex beams of intensity distribution in cross-section, be suitable for the subsequent amplification of laser system, compression, focus etc. Operation;Obstacle has been cleared away to generate the superpower ultrashort vortex laser of the theory of relativity magnitude with wide application prospect.
4) it is suitable for different operating wave band, different size of filtering aperture need only be selected as needed.Not only it is applicable in In the laser system of femtosecond magnitude, it is equally applicable to picosecond, the laser system of nanosecond order, only should be noted the threshold value of element.No It is only applicable to signal optical path, is equally applicable to pumping optical path.
5) the Laguerre Gauss vortex beams that technical solution of the present invention obtains are applicable not only to chirped pulse laser amplifier, It is equally applicable to optical parameter chirped pulse amplification.
Detailed description of the invention
Fig. 1 is a kind of structural schematic diagram for the method for obtaining Laguerre Gauss vortex beams of the present invention.
Specific embodiment
Fig. 1 is a kind of structural schematic diagram for the method for obtaining Laguerre Gauss vortex beams of the present invention, as seen from the figure, this hair A kind of bright method for obtaining Laguerre Gauss vortex beams mainly includes phase modulation component, lens group f1And f2The 4f picture of composition Transmission system, the filtering aperture above lens common focal plane.Phase modulation component can be spiral phase plate, space light modulation Device or q wave plate.By lens group f1And f2The 4f Image relaying system of composition, f1And f2It can be unequal.Work as f1> f2When, lens Group is light beam attenuator;Work as f1< f2When, lens group is beam expander device;Work as f1=f2When, lens group is on stricti jurise Image relaying device.The back focal plane for the first lens that filtering aperture is located at lens group is also the front focal plane of second lens On.The focal length f of the first lens of the wavelength of its size and initial laser beam, spot size and lens group1It is related. Its specific size needs to be calculated by optimization.The fundamental-mode gaussian beam that laser system front end comes out is by phase-modulation member Part, affix helical phase become Gauss vortex beams;When Gauss vortex beams pass through 4f Image relaying system, thoroughly by first Mirror Fourier transformation causes the domain space above focal plane;Filtering aperture above focal plane to the Gauss vortex beams of frequency domain into Row modulation;The effect of Image relaying is completed in Gauss vortex beams Fourier transformation uniform space domain after frequency domain modulation by second lens, Obtain that diversity is small, the approximate constant Laguerre Gauss vortex beams of intensity distribution in cross-section.
Concrete operation step are as follows:
1, optimization calculates the aperture of filtering aperture, specific as follows: to determine parameter, including optical maser wavelength, beam radius, first The focal length of lens.According to wavelength, the focal length of the first lens, by the Gauss vortex beams Fourier transformation of determining radius to frequency domain.
2, assume a filtering apertures, frequency domain light intensity is filtered, obtained result inverse Fourier transform is made the return trip empty domain. Result after transformation is compared with Laguerre Gauss vortex beams, obtains Laguerre Gauss vortex beams proportion.
3, different filtering apertures, repetitive process are chosen.Compare Laguerre Gauss vortex beams institute accounting under different pore size Weight.Choose filtering small aperture corresponding to specific gravity maximum.Make the filtering aperture in corresponding aperture.
4, it builds optical path: being sequentially placed phase modulation component 1, the first lens 2, filtering 3 and of aperture in optical path incident direction Second lens 4.
5, the position of adjustment phase place modulation element 1 is overlapped its center with the center of incident beam.
6, the first lens 2 of adjustment arrive the distance of phase modulation component 1, so that phase modulation component 1 is located at the first lens 2 On front focal plane.The position of the first lens 2 is adjusted, so that the singular point of incident Gauss vortex beams is overlapped with lens centre.
7, the distance of adjustment filtering the 3 to the first lens of aperture 2, is located on the back focal plane of the first lens 2.Adjustment filtering The position of aperture 3 keeps it coaxial with incident beam.
8, the second lens 4 of adjustment are to the distance for filtering aperture 3, so that filtering aperture 3 is located at the front focal plane of the second lens 4 On.The position for adjusting the second lens 4, keeps it coaxial with incident beam.
9, Laguerre Gauss vortex beams are obtained on the back focal plane of the second lens 4.
The present invention takes full advantage of common 4f Image relaying and spatial filter arrangement in ultra-short intense laser system, will be Near field region intensity distribution in cross-section is distributed fast-changing Gauss vortex beams, converts in order to which diversity is small, intensity distribution in cross-section is approximate constant Laguerre Gauss vortex beams, to be suitable for optical parameter chirp impulse amplification laser system and Chirp pulse amplification laser system The operations such as subsequent amplification, compression, focusing;Swash to generate superpower ultrashort be vortexed of the theory of relativity magnitude with wide application prospect Light has cleared away obstacle.The invention is simple to operation, further, since it is all largely the existing component using laser system, So that ultra-short intense laser device can upgrade to superpower ultrashort vortex laser aid without big transformation.

Claims (5)

1. a kind of production method of Laguerre Gauss vortex beams, it is characterised in that include the following steps:
1. determine parameter, including optical maser wavelength, beam radius, the first lens focal length, according to wavelength, the focal length of the first lens, By the Gauss vortex beams Fourier transformation of determining radius to frequency domain;
2. assuming a filtering apertures, frequency domain light intensity is filtered, obtained inverse Fourier transform is made the return trip empty domain;It will be converted Airspace afterwards is compared with target Laguerre Gauss vortex beams, obtains Laguerre Gauss vortex beams proportion;
3. choosing different filtering apertures, 2. process is repeated, compares Laguerre Gauss vortex beams proportion under different pore size, Filtering small aperture corresponding to specific gravity maximum is chosen, the filtering aperture in corresponding aperture is made;
4. building optical path: being sequentially placed phase modulation component, the first lens, filtering aperture and second thoroughly in optical path incident direction Mirror;
5. the position of adjustment phase place modulation element is overlapped the center of phase modulation component with the center of incident beam;
6. adjust the first lens to phase modulation component distance so that phase modulation component is located at the front focal plane of the first lens On, the position of the first lens is adjusted, so that the center of incident beam is overlapped with the center of the first lens;
7. adjustment filtering aperture is located at filtering aperture on the back focal plane of the first lens to the distance of the first lens, adjustment filtering The position of aperture makes to filter aperture and incident beam is coaxial;
8. the distance for adjusting the second lens to filtering aperture adjusts the so that filtering aperture is located on the front focal plane of the second lens The position of two lens keeps the second lens and incident beam coaxial;
9. incident laser beam encloses helical phase after the phase modulation component, become Gauss vortex beams, the Gauss Vortex beams cause the domain space above focal plane through first lens Fourier transformation, and the filtering aperture above focal plane is to frequency After the Gauss vortex beams in domain are modulated, the second lens are by Gauss vortex beams Fourier transformation uniform space after frequency domain modulation The effect of Image relaying is completed in domain, and Laguerre Gauss vortex beams are obtained on the back focal plane of the second lens.
2. a kind of method for generating Laguerre Gauss vortex beams according to claim 1, which is characterized in that filtering used The focal length of the wavelength of the size of aperture and initial laser beam, spot size and the first lens is related, and to filtering aperture Size variation it is insensitive.
3. a kind of method for generating Laguerre Gauss vortex beams according to claim 1, it is characterised in that the phase Position modulation element is spiral phase plate, spatial light modulator or q wave plate.
4. a kind of method for generating Laguerre Gauss vortex beams according to claim 1, which is characterized in that set first thoroughly The focal length f of mirror1, the focal length f of the second lens2, work as f1> f2When, lens group is light beam attenuator;Work as f1< f2When, lens group is Beam expander device;Work as f1=f2When, lens group is Image relaying device.
5. a kind of method for generating Laguerre Gauss vortex beams according to claim 1, which is characterized in that the filter The back focal plane that wave aperture is located at first lens is also on the front focal plane of second lens.
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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110501817A (en) * 2019-09-05 2019-11-26 上海理工大学 Generate the method for space-time vortex light field and the detection method of space-time vortex light field
CN112505914A (en) * 2020-12-10 2021-03-16 武汉先河激光技术有限公司 Vortex light beam generation system and method and phase modulation combination device
CN112803227A (en) * 2021-01-26 2021-05-14 中国人民解放军国防科技大学 Mode purity optimization method and system for generating vortex light beam by coherent synthesis of fiber laser

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CN103984103A (en) * 2014-02-18 2014-08-13 上海大学 Method for generating vortex light beam by use of calculation hologram
CN106896498A (en) * 2017-03-08 2017-06-27 华南师范大学 Generation/the three-dimensional reconstruction apparatus and method of Laguerre Gauss vortex beams
US20180267072A1 (en) * 2016-02-12 2018-09-20 Board Of Trustees Of Michigan State University Laser system for measuring fluid dynamics
CN108923227A (en) * 2018-07-23 2018-11-30 中国科学院上海光学精密机械研究所 A kind of femtosecond vortex pulse generating device

Patent Citations (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103984103A (en) * 2014-02-18 2014-08-13 上海大学 Method for generating vortex light beam by use of calculation hologram
US20180267072A1 (en) * 2016-02-12 2018-09-20 Board Of Trustees Of Michigan State University Laser system for measuring fluid dynamics
CN106896498A (en) * 2017-03-08 2017-06-27 华南师范大学 Generation/the three-dimensional reconstruction apparatus and method of Laguerre Gauss vortex beams
CN108923227A (en) * 2018-07-23 2018-11-30 中国科学院上海光学精密机械研究所 A kind of femtosecond vortex pulse generating device

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110501817A (en) * 2019-09-05 2019-11-26 上海理工大学 Generate the method for space-time vortex light field and the detection method of space-time vortex light field
CN110501817B (en) * 2019-09-05 2021-07-13 上海理工大学 Method for generating space-time vortex light field and detection method of space-time vortex light field
CN112505914A (en) * 2020-12-10 2021-03-16 武汉先河激光技术有限公司 Vortex light beam generation system and method and phase modulation combination device
CN112505914B (en) * 2020-12-10 2022-03-22 武汉先河激光技术有限公司 Vortex light beam generation system and method and phase modulation combination device
CN112803227A (en) * 2021-01-26 2021-05-14 中国人民解放军国防科技大学 Mode purity optimization method and system for generating vortex light beam by coherent synthesis of fiber laser

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