CN105467608A - Method and device for generating second order Hermite complex function Gaussian beams - Google Patents

Method and device for generating second order Hermite complex function Gaussian beams Download PDF

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Publication number
CN105467608A
CN105467608A CN201510931136.9A CN201510931136A CN105467608A CN 105467608 A CN105467608 A CN 105467608A CN 201510931136 A CN201510931136 A CN 201510931136A CN 105467608 A CN105467608 A CN 105467608A
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gaussian beam
complex variable
order
hermitian function
order hermitian
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黄加耀
邓富
余伟浩
赵瑞璜
柯博
廖志强
邓冬梅
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South China Normal University
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South China Normal University
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/28Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
    • G02B27/283Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising used for beam splitting or combining
    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B27/00Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00
    • G02B27/28Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising
    • G02B27/286Optical systems or apparatus not provided for by any of the groups G02B1/00 - G02B26/00, G02B30/00 for polarising for controlling or changing the state of polarisation, e.g. transforming one polarisation state into another

Abstract

The invention relates to a method and device for generating second order Hermite complex function Gaussian beam. The device comprises a He-Ne laser for emitting a Gaussian beam; a collimation beam expander for collimating and expanding the Gaussian beam; a polarizer for processing the Gaussian beam in order to obtain a linear polarization Gaussian beam; a beam splitter prism for splitting the linear polarization Gaussian beam; a spatial light modulator for realizing phase adjustment of the Gaussian beam through a preloaded phase mask containing grey information from level 0 to 255 and then for emitting in a reflection mode; and a lens aperture for obtaining the second order Hermite complex function Gaussian beam by conducting Fourier transform to the reflection beam obtained by splitting. The device has the advantages of simple structure and good stability, provides a feasible way for generating the second order Hermite complex function Gaussian beam, and is widely used in the fields like machining, biology, medical science and military and aspects like information transmission and micro manipulation.

Description

Produce method and the device of second-order Hermitian function of a complex variable Gaussian beam
Technical field
The present invention relates to optical field, particularly relate to a kind of method and the device that produce second-order Hermitian function of a complex variable Gaussian beam.
Background technology
In optical field, Ermy-Gaussian beam refers to that light field meets:
Light beam, wherein H m(x), H ny () is Hermite Polynomials, the value of m, n determines the form of Hermite-Gaussian Beams, can change Hermite-Gaussian Beams by the value changing m, n.
The current industry of research for Hermite-Gaussian Beams only stops in the lab always, and its application is very limited.
Especially, the present inventor finds: the device producing described Hermite-Gaussian Beams at present all has poor stability, baroque shortcoming.
Summary of the invention
The object of the embodiment of the present invention is to provide a kind of method and the device that produce second-order Hermitian function of a complex variable Gaussian beam, and it has good stability, the simple feature of structure.
Produce a device for second-order Hermitian function of a complex variable Gaussian beam, it comprises:
He-Ne laser instrument, for sending Gaussian beam;
Collimator and extender device, for collimating Gaussian beam and expanding;
The polarizer, for processing the Gaussian beam after expanding, obtains linear polarization Gaussian beam;
Amici prism, obtains folded light beam and transmitted light beam for carrying out light-splitting processing to linear polarization Gaussian beam, the incident spatial light modulator of described folded light beam;
Computing machine, for producing the phase mask figure comprising 0 to 255 grades of half-tone informations of different types of second-order Hermitian function of a complex variable Gaussian beam to described spatial light modulator input, described phase mask figure coincidence formula:
W in formula 0represent the beamwidth of light beam, λ represents wavelength, and k=2 π/λ represents wave number, and z represents propagation distance, and x, y represent rectangular coordinate, and b is the distribution factor of second-order Hermite-Gaussian Beams, can control beam pattern;
Spatial light modulator, for carrying out after phase adjusted with reflection mode outgoing described linear polarization Gaussian beam according to the phase mask figure of described computer input; And
Fourier transform lens diaphragm, obtains second-order Hermitian function of a complex variable Gaussian beam for selecting in the light beam from described spatial light modulator outgoing.
Produce a method for second-order Hermitian function of a complex variable Gaussian beam, described method comprises:
He-Ne laser instrument is used to send Gaussian beam;
Collimator and extender device is used to collimate Gaussian beam and expand;
Use polarizer collimation Gaussian beam to process, obtain linear polarization Gaussian beam;
Amici prism is used to carry out light-splitting processing to the projection of linear polarization Gaussian beam;
Computing machine produces the phase mask figure comprising 0 to 255 grades of half-tone informations of different types of second-order Hermitian function of a complex variable Gaussian beam to spatial light modulator input, described phase mask figure coincidence formula:
W in formula 0represent the beamwidth of light beam, λ represents wavelength, and k=2 π/λ represents wave number, and z represents propagation distance, and x, y represent rectangular coordinate, and b is the distribution factor of second-order Hermite-Gaussian Beams, can control beam pattern;
Spatial light modulator phase-modulation is carried out to the Gaussian beam after light splitting after with reflection mode outgoing; And
Fourier transform lens diaphragm is selected to obtain second-order Hermitian function of a complex variable Gaussian beam from the light beam of described spatial light modulator outgoing.
Relative to prior art, the method of the generation second-order Hermitian function of a complex variable Gaussian beam that the embodiment of the present invention provides and device adopt spatial light modulator, by the pre-loaded phase mask figure comprising 0 to 255 grades of half-tone informations, outgoing after phase adjusted is carried out to Gaussian beam, and after Fourier transform, obtain second-order Hermitian function of a complex variable Gaussian beam.Described apparatus structure is simple, good stability, and provides a kind of practicable method for generating second-order Hermitian function of a complex variable Gaussian beam, and in fields such as machining, biology, medical science, military affairs with in information transmission, the aspects such as micro-manipulation are widely used.
Accompanying drawing explanation
In order to be illustrated more clearly in technical scheme of the present invention, be briefly described to the accompanying drawing used required in embodiment below, apparently, accompanying drawing in the following describes is only some embodiments of the present invention, for those of ordinary skill in the art, under the prerequisite not paying creative work, other accompanying drawing can also be obtained according to these accompanying drawings.
Fig. 1 is a kind of structure and light path schematic diagram producing second-order Hermitian function of a complex variable Gaussian beam device that first embodiment of the invention provides;
Fig. 2 is a kind of process flow diagram producing second-order Hermitian function of a complex variable Gaussian beam method that second embodiment of the invention provides;
Fig. 3 is phase mask figure and the surface of intensity distribution (transverse intensity distribution factor b=0.1) of the second-order function of a complex variable Gaussian beam that second embodiment of the invention produces;
Fig. 4 is phase mask figure and the surface of intensity distribution (transverse intensity distribution factor b=0.5) of the second-order function of a complex variable Gaussian beam that second embodiment of the invention produces;
Fig. 5 is phase mask figure and the surface of intensity distribution (transverse intensity distribution factor b=0.75) of the second-order function of a complex variable Gaussian beam that second embodiment of the invention produces;
Fig. 6 is phase mask figure and the surface of intensity distribution (transverse intensity distribution factor b=1) of the second-order function of a complex variable Gaussian beam that second embodiment of the invention produces;
Fig. 7 is phase mask figure and the surface of intensity distribution (transverse intensity distribution factor b=6) of the second-order function of a complex variable Gaussian beam that second embodiment of the invention produces;
Fig. 8 is the phase mask figure of second-order function of a complex variable in different propagation distances that produce of third embodiment of the invention and the surface of intensity distribution (transverse intensity distribution factor b=0.1);
Fig. 9 is the phase mask figure of second-order function of a complex variable in different propagation distances that produce of third embodiment of the invention and the surface of intensity distribution (transverse intensity distribution factor b=1.5).
Figure 10 is the interference fringe picture in the second-order function of a complex variable process of third embodiment of the invention generation.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, be clearly and completely described the technical scheme in the embodiment of the present invention, obviously, described embodiment is only the present invention's part embodiment, instead of whole embodiments.Based on the embodiment in the present invention, those of ordinary skill in the art, not making the every other embodiment obtained under creative work prerequisite, belong to the scope of protection of the invention.
Embodiment one
Refer to Fig. 1, first embodiment of the invention provides a kind of device 100 producing second-order Hermitian function of a complex variable Gaussian beam, and described device 100 comprises:
He-Ne laser instrument 10, for sending Gaussian beam;
Collimator and extender device 20, for collimating Gaussian beam and expanding;
The polarizer 30, for processing Gaussian beam, obtains linear polarization Gaussian beam;
Amici prism 40, for carrying out light-splitting processing to linear polarization Gaussian beam;
Spatial light modulator 50, for carrying out after phase adjusted with reflection mode outgoing described Gaussian beam by the pre-loaded phase mask figure comprising 0 to 255 grades of half-tone informations; And
Lens stop 60, for obtaining second-order Hermitian function of a complex variable Gaussian beam after Fourier transform by the folded light beam obtained after light-splitting processing.
Described device 100 also comprises further: imageing sensor 70, for carrying out imaging to second-order Hermitian function of a complex variable Gaussian beam.Described imageing sensor 70 is ccd sensor.In this example, described imageing sensor 70 is monochrome image sensor.
In addition, in the present embodiment, described device 100 also comprises further: a computing machine 80 be connected with described spatial light modulator 50, and described computing machine 80 is for producing phase mask Figure 90 of second-order Hermitian function of a complex variable Gaussian beam to the input of described spatial light modulator 50.
In the present embodiment, Ermy-Gaussian beam refers to that light field meets:
Light beam, wherein H m(x), H ny () is Hermite Polynomials, the value of m, n determines the form of Hermite-Gaussian Beams, can be changed the shape of Hermite-Gaussian Beams by the value changing m, n.
Hermitian function of a complex variable Gaussian beam refers to that the independent variable unit of Hermite Polynomials is function of a complex variable, that is:
Owing to there is complex item thus Hermitian function of a complex variable Gaussian beam there will be dark core, the shape of dark core, size and position can be controlled by the value changing m, n in function of a complex variable Hermite Polynomials.
In the present embodiment, there is the dark core light beam in various center in second-order Hermitian function of a complex variable Gaussian beam, can by changing transverse intensity distribution factor b (the transverse intensity distribution factor, Main Function is the intensity profile on control phase mask Figure 90) make it have a dark core or two dark cores, can also change the size and shape of dark core further, these characteristics can be used to the microscopic particle carrying different size and shape simultaneously; And second-order Hermitian function of a complex variable Gaussian beam self can rotate, this makes second-order Hermitian optical beam ratio generic central dark core light beam more meaningful, can be widely used.
The principle of the present embodiment foundation is as follows:
The paraxial wave equation of the Gaussian beam that He-Ne laser instrument 10 produces is formula (1):
Wherein C0 is constant.
Common Hermitian function of a complex variable Gaussian beam is defined as in the Electric Field Distribution of transmission range z=0:
In the present embodiment, described device 100 gets a kind of situation of common Hermitian function of a complex variable Gaussian beam: second-order Hermitian function of a complex variable Gaussian beam is to produce light beam.
In addition, in the present embodiment, the second-order Hermitian function of a complex variable Gaussian beam obtained through spatial light modulator 50 is defined as formula (2 ') in the Electric Field Distribution of transmission range z=0
Wherein b is the transverse intensity distribution factor, and Main Function is the intensity profile on control phase mask figure.W0 is the beamwidth producing second-order Hermitian function of a complex variable Gaussian beam.
Huygens-fresnel diffraction integral formula is formula (3) in the expression formula of rectangular coordinate:
When propagating in free space, it is formula (4) that second-order Hermitian function of a complex variable Gaussian beam obtains Electric Field Distribution under near field:
W in formula 0represent the beamwidth of light beam, λ represents wavelength, and k=2 π/λ represents wave number, and z represents propagation distance, and x, y represent rectangular coordinate, and b is the distribution factor of second-order Hermite-Gaussian Beams, can control beam pattern;
Wherein (4) formula is the core of the present embodiment, (4) formula of utilization can generate phase mask Figure 90 of different types of generation second-order Hermitian function of a complex variable Gaussian beam, is imported in spatial light modulator 50 by these different phase mask Figure 90 and just can modulate different types of second-order Hermitian function of a complex variable Gaussian beam.
The light field producing second-order Hermitian function of a complex variable Gaussian beam is subject to the modulation of transverse intensity distribution factor b: when b initial value is 0.01mm, distribution of light intensity distribution shows as annular distribution, and has the dark nuclear properties in center; Along with the increase of parameter b, no longer in annular, but there is the intensity band distribution of a pair intensity symmetry in optical field distribution.Simultaneously, along with parameter b constantly increases, light field equation levels off to Gaussian function, therefore the change that the optical field distribution producing second-order Hermitian function of a complex variable Gaussian beam is subject to parameter b regulation and control is: from center, dark caryogram develops into Gaussian gradually, illustrates thus and can produce dissimilar second-order Hermitian function of a complex variable Gaussian beam by regulating parameter b.
In addition, the degree that rotates of light beam and propagation distance closely related.In general, rotate 45 degree 1 times of Ruili distance, along with the further increase of propagation distance, the speed goes of Beam rotation is slow, and maximum rotation angle is 90 degree.But meanwhile, in communication process, optical field distribution characteristic kept stable is constant.Along with the carrying out of propagating, Beam rotation angle is maximum reaches 90 °, illustrates thus and can obtain the different conditions that same kind produces second-order Hermitian function of a complex variable Gaussian beam at different propagation distance place.
The device 100 of the generation second-order Hermitian function of a complex variable Gaussian beam that first embodiment of the invention provides adopts spatial light modulator 50, by pre-loaded phase mask Figure 90 comprising 0 to 255 grades of half-tone informations, outgoing after phase adjusted is carried out to Gaussian beam, and after Fourier transform, obtain second-order Hermitian function of a complex variable Gaussian beam.Described apparatus structure is simple, good stability, and provides a kind of practicable method for generating second-order Hermitian function of a complex variable Gaussian beam, and in machining, the field such as biology, medical science, military affairs and in information transmission, the aspects such as micro-manipulation are widely used.
Embodiment two
Please also refer to Fig. 1 and Fig. 2, second embodiment of the invention provides a kind of method producing second-order Hermitian function of a complex variable Gaussian beam, said method comprising the steps of:
Step S101, uses He-Ne laser instrument to send Gaussian beam;
Step S102, uses collimator and extender device collimate Gaussian beam and expand;
Step S103, uses polarizer collimation Gaussian beam to process, obtains linear polarization Gaussian beam;
Step S104, uses Amici prism to carry out light-splitting processing to the projection of linear polarization Gaussian beam;
Step S105, computing machine produces the phase mask figure comprising 0 to 255 grades of half-tone informations of different types of second-order Hermitian function of a complex variable Gaussian beam to spatial light modulator input;
Described phase mask figure coincidence formula:
Step S106, spatial light modulator phase-modulation is carried out to the Gaussian beam after light splitting after with reflection mode outgoing.
Step S107, Fourier transform lens diaphragm is selected to obtain second-order Hermitian function of a complex variable Gaussian beam from the light beam of described spatial light modulator outgoing.
In the present embodiment, described method adopts the device 100 described in embodiment one.Particularly, the present embodiment have employed the light path of the measurement space photomodulator Phase Modulation Properties that michelson interferometer optical path is as shown in Figure 1 formed.In the present embodiment, measurement mechanism comprises: He-Ne laser instrument 10 (emission wavelength is the light of 632.8nm), spatial light modulator 50, imageing sensor 70, computing machine 80.By image pick-up card by view data stored in computing machine 80, thus formed image acquisition subsystem.
During enforcement, ensure that each optical element level is contour, beam path alignment; First, loaded the phase mask figure of distribution factor b=0.1 as shown in Figure 3 to spatial light modulator 50 by computing machine 80; Then, the position of imageing sensor (CCD) 70 is regulated to observe image and record result.
Then load the transverse intensity distribution factor by computing machine 80 to spatial light modulator 50 and be respectively b=0.5, b=0.75, mask Figure 90 of the out of phase of b=1 and b=6, during checking, different types of second-order Hermitian function of a complex variable Gaussian beam can be observed by the monochrome image sensor (CCD) 70 in equivalent locations.
Can be proved by the plot of light intensity of Fig. 3, Fig. 4, Fig. 5, Fig. 6 and Fig. 7, what the present embodiment produced is different types of second-order Hermitian function of a complex variable Gaussian beam, distinguishes correspondence b=0.1, b=0.5, mask Figure 90 of the out of phase of b=0.75, b=1 and b=6.
By changing the number of second-order Hermitian function of a complex variable Gaussian beam dark core, position, shape and size, and the situation that central light strength is non-vanishing, prove that the device 10 described in the first embodiment can produce different types of second-order Hermitian function of a complex variable Gaussian beam.
Embodiment three
Please also refer to Fig. 8 to Fig. 9, third embodiment of the invention provides a kind of method producing second-order Hermitian function of a complex variable Gaussian beam, described method and the method described in the second embodiment similar, difference is, in the present embodiment, by imageing sensor (CCD) 70 is adjusted to diverse location, the different conditions of the same a branch of generation second-order Hermitian function of a complex variable Gaussian beam produced is verified.
During checking, the second-order Hermitian function of a complex variable Gaussian beam of different conditions can be observed by the monochrome image sensor (CCD) 70 on diverse location.
Can be proved by the plot of light intensity of Fig. 8 and accompanying drawing 9, what the present embodiment proved to produce is the second-order Hermitian function of a complex variable Gaussian beam of different conditions (transverse intensity distribution factor b=0.1, and b=1.5).
Can allow thus and produce different states with a branch of second-order Hermitian function of a complex variable Gaussian beam, thus prove that the device 100 described in the first embodiment can produce the second-order Hermitian function of a complex variable Gaussian beam of different conditions.
In sum, various embodiments of the present invention hinge structure is compared and is had following advantages:
First, second-order Hermitian function of a complex variable Gaussian beam device 100 structure provided is simple, good stability.
Secondly, provide a kind of practicable method for generating second-order Hermitian function of a complex variable Gaussian beam, in fields such as machining, biology, medical science, military affairs be widely used in information transmission, micro-manipulation etc.
In addition, by changing the number of second-order Hermitian function of a complex variable Gaussian beam dark core, position and size, and whether central light strength is zero, proves that described device 100 can produce different types of second-order Hermitian function of a complex variable Gaussian beam.
And to a branch of second-order Hermitian function of a complex variable Gaussian beam, described device 100 can produce the second-order Hermitian function of a complex variable Gaussian beam of different conditions.
Last it is noted that above embodiment is only in order to illustrate technical scheme of the present invention, be not intended to limit; Although with reference to previous embodiment to invention has been detailed description, those of ordinary skill in the art is when understanding: it still can be modified to the technical scheme described in foregoing embodiments, or carries out equivalent replacement to wherein portion of techniques feature; And these amendments or replacement, do not make the essence of appropriate technical solution depart from the spirit and scope of various embodiments of the present invention technical scheme.

Claims (10)

1. produce a device for second-order Hermitian function of a complex variable Gaussian beam, it comprises:
He-Ne laser instrument, for sending Gaussian beam;
Collimator and extender device, for collimating Gaussian beam and expanding;
The polarizer, for processing the Gaussian beam after expanding, obtains linear polarization Gaussian beam;
Amici prism, obtains folded light beam and transmitted light beam for carrying out light-splitting processing to linear polarization Gaussian beam, the incident spatial light modulator of described folded light beam;
Computing machine, for producing the phase mask figure comprising 0 to 255 grades of half-tone informations of different types of second-order Hermitian function of a complex variable Gaussian beam to described spatial light modulator input, described phase mask figure coincidence formula:
E ( x , y , z ) = - i π λzw 0 ( 1 2 w 0 2 + i k 2 z ) [ k 2 b 2 z 2 w 0 2 ( x + i y ) 2 ( 1 2 w 0 2 + i k 2 z ) 2 + 2 ]
× exp [ - i k ( x 2 + y 2 ) 2 z + i k z ] exp [ - k 2 ( x 2 + y 2 ) 4 z 2 ( 1 2 w 0 2 + i k z z ) ]
W in formula 0represent the beamwidth of light beam, λ represents wavelength, and k=2 π/λ represents wave number, and z represents propagation distance, and x, y represent rectangular coordinate, and b is the distribution factor of second-order Hermite-Gaussian Beams, can control beam pattern;
Spatial light modulator, for carrying out after phase adjusted with reflection mode outgoing described linear polarization Gaussian beam according to the phase mask figure of described computer input; And
Fourier transform lens diaphragm, obtains second-order Hermitian function of a complex variable Gaussian beam for selecting in the light beam from described spatial light modulator outgoing.
2. the as claimed in claim 1 device producing second-order Hermitian function of a complex variable Gaussian beam, is characterized in that, described computing machine is by regulating transverse intensity distribution factor b in described formula to produce dissimilar second-order Hermitian function of a complex variable Gaussian beam.
3. the device producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 1, it is characterized in that, comprise further: monochrome image sensor, for to second-order Hermitian function of a complex variable Gaussian beam, or described second-order Hermitian function of a complex variable Gaussian beam is carried out imaging by the light beam after sample scattering.
4. the device producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 3, it is characterized in that, comprise further: sensing station regulating device, for regulating the position of described monochrome image sensor to observe the second-order Hermitian function of a complex variable Gaussian beam of different conditions.
5. the device producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 3, it is characterized in that, described monochrome image sensor is also connected with the image pick-up card of described computing machine, by the image data transmission extremely described computing machine gathered.
6. produce a method for second-order Hermitian function of a complex variable Gaussian beam, it is characterized in that, described method comprises:
He-Ne laser instrument is used to send Gaussian beam;
Collimator and extender device is used to collimate Gaussian beam and expand;
Use polarizer collimation Gaussian beam to process, obtain linear polarization Gaussian beam;
Amici prism is used to carry out light-splitting processing to the projection of linear polarization Gaussian beam;
Computing machine produces the phase mask figure comprising 0 to 255 grades of half-tone informations of different types of second-order Hermitian function of a complex variable Gaussian beam to spatial light modulator input, described phase mask figure coincidence formula:
E ( x , y , z ) = - i π λzw 0 ( 1 2 w 0 2 + i k 2 z ) [ k 2 b 2 z 2 w 0 2 ( x + i y ) 2 ( 1 2 w 0 2 + i k 2 z ) 2 + 2 ]
× exp [ - i k ( x 2 + y 2 ) 2 z + i k z ] exp [ - k 2 ( x 2 + y 2 ) 4 z 2 ( 1 2 w 0 2 + i k z z ) ]
W in formula 0represent the beamwidth of light beam, λ represents wavelength, and k=2 π/λ represents wave number, and z represents propagation distance, and x, y represent rectangular coordinate, and b is the distribution factor of second-order Hermite-Gaussian Beams, can control beam pattern;
Spatial light modulator phase-modulation is carried out to the Gaussian beam after light splitting after with reflection mode outgoing; And
Fourier transform lens diaphragm is selected to obtain second-order Hermitian function of a complex variable Gaussian beam from the light beam of described spatial light modulator outgoing.
7. the method producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 6, it is characterized in that, comprise further: described computing machine is by regulating transverse intensity distribution factor b in described formula to produce dissimilar second-order Hermitian function of a complex variable Gaussian beam.
8. the method producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 6, it is characterized in that, comprise further: monochrome image sensor is to second-order Hermitian function of a complex variable Gaussian beam, or described second-order Hermitian function of a complex variable Gaussian beam is carried out imaging by the light beam after sample scattering.
9. the method producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 8, it is characterized in that, comprise further: sensing station regulating device regulates the position of described monochrome image sensor to observe the second-order Hermitian function of a complex variable Gaussian beam of different conditions.
10. the method producing second-order Hermitian function of a complex variable Gaussian beam as claimed in claim 9, is characterized in that, comprise further: the image data transmission extremely described computing machine that described monochrome image sensor will gather.
CN201510931136.9A 2015-12-10 2015-12-14 Method and device for generating second order Hermite complex function Gaussian beams Pending CN105467608A (en)

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111665639A (en) * 2020-06-03 2020-09-15 中国人民解放军战略支援部队航天工程大学 Preparation method of Hermite-like Gaussian beam based on cross phase
CN112620931A (en) * 2020-12-09 2021-04-09 青岛理工大学 Laser processing device and method for beam shaping
CN114755836A (en) * 2022-06-14 2022-07-15 苏州大学 Method and device for generating angular polarized light beam and processing turbulence resistance of light beam

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Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN111665639A (en) * 2020-06-03 2020-09-15 中国人民解放军战略支援部队航天工程大学 Preparation method of Hermite-like Gaussian beam based on cross phase
CN112620931A (en) * 2020-12-09 2021-04-09 青岛理工大学 Laser processing device and method for beam shaping
CN114755836A (en) * 2022-06-14 2022-07-15 苏州大学 Method and device for generating angular polarized light beam and processing turbulence resistance of light beam

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Application publication date: 20160406