CN111856765B - Light cage beam generation system based on self-accelerating beam - Google Patents
Light cage beam generation system based on self-accelerating beam Download PDFInfo
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- CN111856765B CN111856765B CN202010758290.1A CN202010758290A CN111856765B CN 111856765 B CN111856765 B CN 111856765B CN 202010758290 A CN202010758290 A CN 202010758290A CN 111856765 B CN111856765 B CN 111856765B
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- 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
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- 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
- G02B27/0905—Dividing and/or superposing multiple light beams
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- 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
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Abstract
The application relates to a light cage beam generation system based on self-accelerating beams, comprising: the Gaussian light emitting unit is used for emitting Gaussian beams and transmitting the Gaussian beams to the spatial light modulator; a computer for preloading a predetermined light cage beam phase map to the spatial light modulator; the optical cage light beam phase diagram is obtained by radially and symmetrically obtaining the self-accelerating light beam phase; the spatial light modulator is positioned on a transmission light path of the Gaussian beam and used for carrying out phase modulation on the Gaussian beam according to the light cage beam phase diagram; and the Fourier lens is used for carrying out Fourier transform on the Gaussian beam after phase modulation to obtain the light cage beam based on the self-accelerating beam. The light cage beam generation system is simple and efficient, low in requirement on experimental environment and capable of achieving more flexible optical capture by changing one-dimensional self-accelerating beams into circularly symmetric annular self-accelerating beams in a radial symmetry mode.
Description
Technical Field
The application relates to the technical field of light beam regulation and control, in particular to a light cage light beam generation system based on self-accelerating light beams.
Background
Since the self-laser technology comes out, the mechanical effect of light is realized from theory by a high-intensity light source, accurate verification and wide application are achieved in a laboratory, and the optical tweezers technology is developed. The traditional optical tweezers are three-dimensional optical potential wells formed on the basis of converged Gaussian beams, and the optical field distribution characteristics of the cross section of the traditional optical tweezers are that the central energy is large, and the peripheral energy is gradually reduced, so that the traditional optical tweezers are very suitable for capturing particles with high refractive index, but the capture of the particles with low refractive index is difficult to realize. With the continuous development of laser technology, the optical tweezers technology starts to penetrate into the fields of colloidal dispersion systems, acoustics, biology and the like, and thus, the traditional gaussian optical tweezers show many application difficulties and the limitations thereof are gradually exposed.
In addition, the application of the light cage beam is continuously developed and developed, and the generation method of the light cage beam is mainly divided into a double-beam interference method, a diffraction optical element method and a special vector beam method. Where two-beam interferometry requires precise alignment of the system optically; the main principle of the diffractive optical element method is to modulate and generate a light cage beam by designing a complex diffractive optical element system.
However, the methods, whether the two-beam interference method, the diffraction optical element method or the special vector beam method, are not only cumbersome, but also lack versatility. For more limited practical experimental systems, there is currently no more general, simple and efficient method for generating light cage beams with different shapes.
Disclosure of Invention
The embodiment of the application provides a light cage light beam generation system based on self-accelerating light beams, and aims to at least solve the problems of complexity and poor universality of light cage light beam generation in a light cage light beam generation system in the related art.
In a first aspect, an embodiment of the present application provides a light cage beam generation system based on an auto-acceleration beam, including:
the Gaussian light emitting unit is used for emitting Gaussian beams and transmitting the Gaussian beams to the spatial light modulator;
a computer for preloading a predetermined light cage beam phase map to the spatial light modulator; the light cage beam phase diagram is obtained by radially and symmetrically obtaining the self-accelerating beam phase;
the spatial light modulator is positioned on a transmission light path of the Gaussian beam and used for carrying out phase modulation on the Gaussian beam according to the light cage beam phase diagram;
and the Fourier lens is used for performing Fourier transform on the Gaussian beam after phase modulation to obtain a light cage beam based on the self-accelerating beam.
In some of these embodiments, the computer is further configured to:
establishing a mathematical model between the transmission track and the phase of the self-accelerating light beam;
and calculating the self-accelerating light beam phase according to a preset transmission track of the self-accelerating light beam and the mathematical model.
In some embodiments, the mathematical model between the transmission trajectory and the phase of the self-accelerating light beam is as follows:
wherein s = f (ξ) is the transmission trajectory of the self-accelerating light beam; ξ = z λ/(2 π x) 0 2 ) Is the normalized propagation distance; x is a radical of a fluorine atom 0 Is a transverse scale factor; λ is the wavelength; k is the dimensionless spatial frequency corresponding to s;
is the phase of the self-accelerating beam.
Based on the above embodiments, in some of the embodiments, the expression of the phase diagram of the light cage beam is as follows:
wherein
k x 、k y Are respectively corresponding to s x And s y Dimensionless spatial frequency of (a); s x ＝x/x 0 ,s y ＝y/y 0 ；x 0 And y 0 Are all scale factors; x and y are respectively the horizontal and vertical coordinates.
In some of these embodiments, the radial pair is referred to as transforming the self-accelerating beam phase from a rectangular to a cylindrical coordinate system.
In some embodiments, the optical system further comprises a beam splitter, located between the gaussian light emitting unit and the spatial light modulator, for transmitting the gaussian light beam to the spatial light modulator.
In some embodiments, the device further comprises a collimation and expansion lens, which is located between the gaussian light emitting unit and the beam splitter, and is used for receiving the gaussian light beam and performing gaussian light beam collimation and expansion.
In some of these embodiments, further comprising: and the beam splitting prism is used for splitting the collimated and expanded Gaussian beam.
In some of these embodiments, further comprising: and the image sensing receiver is used for receiving the light cage light beam and transmitting the light cage light beam to a display.
In some of these embodiments, further comprising: and the display unit is used for displaying the light cage beams received by the image sensing receiver.
Compared with the related art, the self-accelerating beam-based light cage beam generation system provided by the embodiment of the application has the advantages that the one-dimensional self-accelerating beam is radially and symmetrically changed into the circularly symmetric annular self-accelerating beam by utilizing the characteristic of the self-accelerating beam transmitted along the curved track, the light cage beam phase diagram is obtained, the preset light cage beam phase diagram is pre-loaded to the spatial light modulator through the computer, the spatial light modulator is subjected to phase modulation based on the light cage beam phase diagram, and the system does not need a high-precision optical focusing system and a complex optical diffraction combination element, so that the requirement on the experimental environment is low. The size and shape of the light cage beam can be adjusted by regulating and controlling the propagation track of the self-accelerating light beam, so that the optical cage is suitable for more flexible optical capture and has important significance in the application in long distance, large angle and complex environment.
The details of one or more embodiments of the application are set forth in the accompanying drawings and the description below to provide a more concise and understandable description of the application, and features, objects, and advantages of the application.
Drawings
The accompanying drawings, which are included to provide a further understanding of the application and are incorporated in and constitute a part of this application, illustrate embodiment(s) of the application and together with the description serve to explain the application and not to limit the application. In the drawings:
fig. 1 is a schematic structural diagram of a light cage beam generation system based on an auto-acceleration beam according to an embodiment of the present invention.
Fig. 2 is a schematic flowchart of a method for generating a light cage beam based on an auto-acceleration beam according to an embodiment of the present invention.
Fig. 3 is a schematic diagram of transmission of a light cage beam based on an auto-acceleration beam propagating along a fourth power trajectory according to embodiment 1 of the present invention.
Fig. 4 is a light field distribution diagram of a light cage beam propagating to a certain Z plane based on an auto-accelerating beam propagating along a fourth power trajectory according to embodiment 1 of the present invention.
Fig. 5 is a schematic diagram of transmission of a light cage beam based on a self-accelerating light beam propagating along a half-cycle sinusoidal track according to embodiment 2 of the present invention.
Fig. 6 is a light field distribution diagram of a light cage beam propagating to a certain Z plane based on a self-accelerating light beam propagating along a half-cycle sinusoidal track provided in embodiment 2 of the present invention.
Description of the drawings: 1-Gaussian light emitting unit; 2-collimating beam-expanding lens; 3-a beam splitting prism; 4-a spatial light modulator; 5-a computer; 6-a Fourier lens; 7-an image sensing receiver; 8-display.
Detailed Description
In order to make the objects, technical solutions and advantages of the present application more apparent, the present application will be described and illustrated below with reference to the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative of the present application and are not intended to limit the present application. All other embodiments obtained by a person of ordinary skill in the art based on the embodiments provided in the present application without any inventive step are within the scope of protection of the present application.
It is obvious that the drawings in the following description are only examples or embodiments of the present application, and that it is also possible for a person skilled in the art to apply the present application to other similar contexts on the basis of these drawings without inventive effort. Moreover, it should be appreciated that in the development of any such actual implementation, as in any engineering or design project, numerous implementation-specific decisions must be made to achieve the developers' specific goals, such as compliance with system-related and business-related constraints, which may vary from one implementation to another.
Reference in the specification to "an embodiment" means that a particular feature, structure, or characteristic described in connection with the embodiment can be included in at least one embodiment of the specification. The appearances of the phrase in various places in the specification are not necessarily all referring to the same embodiment, nor are separate or alternative embodiments mutually exclusive of other embodiments. It is to be expressly and implicitly understood by one of ordinary skill in the art that the embodiments described herein may be combined with other embodiments without conflict.
Unless defined otherwise, technical or scientific terms referred to herein shall have the ordinary meaning as understood by those of ordinary skill in the art to which this application belongs. Reference to "a," "an," "the," and similar words throughout this application are not to be construed as limiting in number, and may refer to the singular or the plural. The present application is directed to the use of the terms "including," "comprising," "having," and any variations thereof, which are intended to cover non-exclusive inclusions; for example, a process, method, system, article, or apparatus that comprises a list of steps or modules (elements) is not limited to the listed steps or elements, but may include other steps or elements not expressly listed or inherent to such process, method, article, or apparatus. Reference to "connected," "coupled," and the like in this application is not intended to be limited to physical or mechanical connections, but may include electrical connections, whether direct or indirect. The term "plurality" as used herein means two or more. "and/or" describes an association relationship of associated objects, meaning that three relationships may exist, for example, "A and/or B" may mean: a exists alone, A and B exist simultaneously, and B exists alone. The character "/" generally indicates that the former and latter associated objects are in an "or" relationship. Reference herein to the terms "first," "second," "third," and the like, are merely to distinguish similar objects and do not denote a particular ordering for the objects.
The light cage beam is a novel light beam, and has a hollow structure with low central energy and high peripheral energy on a two-dimensional cross section. A light cage beam in three dimensions, also known as a light bottle or bottle-type beam, exhibits a closed dark field profile surrounded by high light intensity. Due to the special energy distribution characteristics, the dilemma that the Gaussian optical tweezers cannot capture low-refractive-index particles is solved, and in addition, the application of the optical cage light beams is continuously developed and developed, and the application is applied to the fields of cold atom capture, optical imaging, optical cloak and the like.
The generation methods of the light cage beam are mainly divided into a two-beam interference method, a diffraction optical element method and a special vector beam method. The two-beam interference method requires an optical precise alignment system, for example, in 2009 Isenhower and other people utilize a mach-zehnder interferometer with two arms of different amplification factors to generate two gaussian beams with different beam waist radiuses, and a three-dimensional energy cavity is formed through destructive interference between the two beams; in 2012, li et al focused two orthogonally polarized parallel vortex beams through a specially-made aspheric lens to generate a three-dimensional optical cage for single-atom qubit capture at a focal point, and then Chen et al generated a hollow spherical optical cage beam in a confocal region by injecting two radially polarized vortex beams in opposite directions by using a 4 pi focusing system composed of two confocal high-numerical-aperture objective lenses.
The main principle of the diffractive optical element method is to modulate and generate a light cage beam by designing a complex diffractive optical element system. Ivanov et al, using a pi phase plate and focusing lens, build a diffractive optical element with focusing and phase shifting functions, which modulates the gaussian beam incident on the diffractive element, a bottle beam trap is thus created at the focal plane. Iketaki et al formed a light cage beam that could be used as an extraction beam by constructing a two-color annular hybrid wave plate with the phase shifting function of a pi phase plate.
In addition to producing a light cage beam in a scalar field, in recent years, a vector beam has also been receiving increasing attention due to its unique properties, and particularly when tightly focused, a vector beam satisfying certain conditions can form a light cage beam having a dark spot structure surrounded by light intensity. Arlt et al produced a light cage beam in 2000 by superimposing two laguerre gaussian beams containing different Gouy phases. Kozawa et al later obtained a three-dimensional optical cage with tightly focused, double-ring, radially polarized beams, and later proposed the use of high-order transverse-mode vector beams to form an energy dark cavity, and concluded that seven vector beams could be used to modulate the resulting cage beam. The polarization state of the double-ring mixed polarization vector light beam can be changed between linear polarization and elliptical polarization, and real-time control of the light cage light beam is realized by people in Liuhai harbor and the like by adjusting the polarization state of the double-ring mixed polarization vector light beam. Weng et al generated a dammann beam by passing two orthogonally polarized beams through a dammann grating using a full polarization modulation method, and obtained a controllable light cage field using the vector beam. They first achieved the generation of an array of optically imprisoned cages with this method.
Referring to fig. 1, a first embodiment of the present invention provides a light cage light beam generating system based on self-accelerating light beams, which can conveniently adjust the size and shape of the light cage light beam by adjusting and controlling the propagation track of the self-accelerating light beam for different applications, so as to be suitable for more flexible optical capturing, and is of great significance in applications in long distance, large angle and complex environments.
Specifically, the self-accelerating beam-based light cage beam generation system comprises: a gaussian light emitting unit 1, a spatial light modulator 4, a computer 5, and a fourier lens 6 are sequentially arranged in the light generating direction.
In this embodiment, the gaussian light emitting unit 1 may be a laser for emitting a gaussian light beam and transmitting the gaussian light beam to the spatial light modulator 4. The laser may be a He-Ne laser, an Ar ion laser, or the like. Preferably, a He-Ne laser having a visible light wavelength of 632.8nm can be used.
The computer 5 is used for pre-loading a predetermined light cage beam phase diagram to the spatial light modulator 4; and the phase diagram of the light cage beam is obtained by radially and symmetrically obtaining the self-accelerating beam phase.
Wherein the computer 5 comprises a memory, a processor and a computer program stored on the memory and executable on the processor, the processor pre-loading the spatial light modulator 4 with a predetermined phase pattern of the light cage beam when executing the computer program.
The memory may include, among other things, mass storage for data or instructions. By way of example, and not limitation, memory may include a Hard Disk Drive (Hard Disk Drive, abbreviated HDD), a floppy Disk Drive, a Solid State Drive (SSD), flash memory, an optical disc, a magneto-optical disc, tape, or a Universal Serial Bus (USB) Drive or a combination of two or more of these. The memory may include removable or non-removable (or fixed) media, where appropriate. The memory may be internal or external to the data processing apparatus, where appropriate. In a particular embodiment, the memory is a Non-Volatile (Non-Volatile) memory. In particular embodiments, the Memory includes Read-Only Memory (ROM) and Random Access Memory (RAM). The ROM may be mask-programmed ROM, programmable ROM (PROM), erasable PROM (EPROM), electrically Erasable PROM (EEPROM), electrically rewritable ROM (earrom), or FLASH Memory (FLASH), or a combination of two or more of these, where appropriate. The memory may be used to store or cache various data files for processing and/or communication purposes, as well as possibly program instructions for execution by the processor. The RAM may be a Static Random-Access Memory (SRAM) or a Dynamic Random-Access Memory (DRAM), where the DRAM may be a Fast Page Mode Dynamic Random-Access Memory (FPMDRAM), an Extended Data Out Dynamic Random Access Memory (EDODRAM), a Synchronous Dynamic Random Access Memory (SDRAM), and the like.
The processor may be comprised of one or more processors, may include a Central Processing Unit (CPU), or an Application Specific Integrated Circuit (ASIC), or may be configured to implement one or more Integrated circuits of embodiments of the present Application.
Wherein, the self-accelerating light beam phase can be obtained by the following method:
s101, establishing a mathematical model between the transmission track and the phase of the self-accelerating light beam.
S102, calculating according to a transmission track of a preset self-accelerating light beam and the mathematical model to obtain the phase of the self-accelerating light beam.
In this embodiment, the transmission track of the self-accelerating light beam describes a position change of the light intensity of the light beam in the transmission process, and the self-accelerating light beam may be an airy light beam propagating along a parabolic track, or an arc light beam, a millipore light beam, or a weber light beam propagating along a circle, an ellipse, or a parabolic track, which is not specifically limited in the present invention.
In the above-described embodiment, by designing a mathematical model between the transmission trajectory of the self-accelerating light velocity and the phase of the self-accelerating light beam using the principle of optical caustic, an expression of the corresponding phase of the self-accelerating light beam can be obtained from the transmission trajectory of the self-accelerating light beam and the mathematical model.
In this embodiment, a phase diagram of the light cage beam can be obtained by performing radial symmetry operation on a mathematical expression of the self-accelerating beam phase to change the one-dimensional self-accelerating beam into a circularly symmetric annular self-accelerating beam through radial symmetry.
In a specific embodiment, the mathematical model between the transmission trajectory and the phase of the self-accelerating light beam is as follows:
wherein s = f (ξ) is a transmission trajectory of the self-accelerating light beam; ξ = z λ/(2 π x) 0 2 ) Is the normalized propagation distance; x is a radical of a fluorine atom 0 Is a transverse scale factor; λ is the wavelength; k is the dimensionless spatial frequency corresponding to s;
is the phase of the self-accelerating beam.
Then, by performing radial symmetry operation on the above mathematical expression of the self-accelerating beam phase, the expression of the light cage beam phase diagram is obtained as follows:
wherein
k x 、k y Are respectively corresponding to s x And s y Dimensionless spatial frequency of (a); s x ＝x/x 0 ,s y ＝y/y 0 ；x 0 And y 0 Are all scale factors; x and y are respectively the horizontal and vertical coordinates.
The light cage beam phase diagram is specifically a phase diagram obtained by radial symmetry of different self-accelerating beam phases corresponding to self-accelerating beam transmission trajectories s = f (ξ) with different values. Wherein the radial pair is referred to as converting the self-accelerating beam phase from a rectangular to a cylindrical coordinate system.
And the spatial light modulator 4 is positioned on a transmission light path of the Gaussian beam and is used for carrying out phase modulation on the Gaussian beam according to the phase diagram of the light cage beam. After the gaussian beam is phase-modulated by the spatial light modulator 4, the beam is transmitted according to the designed track, and the control of the self-accelerating beam transmission of any track is completed. Preferably, the spatial light modulator 4 has a pixel size of 8 μm, a resolution of 1920 × 1080, and an operating band of 400-700 nm.
The Fourier lens 6 is used for performing Fourier transform on the Gaussian beam after phase modulation to obtain a light cage beam based on the self-accelerating beam. Preferably, the focal length of the Fourier lens 6 is 300mm.
Referring to fig. 1, on the basis of the above embodiment, in a preferred embodiment, the optical fiber module further includes a beam splitter, which is located between the gaussian light emitting unit 1 and the spatial light modulator 4, and is used for transmitting the gaussian light beam to the spatial light modulator 4.
On the basis of the above embodiment, in a preferred embodiment, the optical fiber laser further includes a collimation and expansion lens 2, which is located between the gaussian light emitting unit 1 and the beam splitter, and is configured to receive the gaussian light beam and perform gaussian light beam collimation and expansion, and a focal length and a light transmission aperture in the collimation and expansion lens 2 are adjusted according to specific needs. Preferably, the focal length of the collimating beam expander 2 is 300mm, and the clear aperture is 50mm.
On the basis of the above embodiment, in a preferred embodiment, the method further includes: and the beam splitting prism 3 is used for splitting the collimated and expanded Gaussian beam. Preferably, the size of the beam splitter prism 33 is 25 × 25mm.
On the basis of the above embodiment, in a preferred embodiment, the method further includes: and the image sensing receiver 7 is used for receiving the light cage light beam and transmitting the light cage light beam to the display 8. Preferably, the image sensor receiver 7 may be a CCD sensor with a resolution of 1600 × 1200pixels and an optical size of 1/1.8 inch.
On the basis of the above embodiment, in a preferred embodiment, the method further includes: and the display unit is used for displaying the light cage beams received by the image sensing receiver 7, so that observation is facilitated.
Wherein the display unit may be a display 8 provided to a user for displaying images. The display unit may be used to display information input by a user or information provided to the user, and various menus. The Display unit may include a Display panel, and optionally, the Display panel may be configured in the form of a Liquid Crystal Display (LCD) 8, an Organic Light-Emitting Diode (OLED), or the like. Further, the touch panel may cover the display panel, and when the touch panel detects a touch operation thereon or nearby, the touch panel transmits the touch operation to the processor to determine the type of the touch event, and then the processor provides a corresponding visual output on the display panel according to the type of the touch event.
The working principle of the self-accelerating beam-based light cage beam generation system provided by the embodiment of the invention is briefly described as follows:
the Gaussian beam emitted by the Gaussian light emitting unit 1 is expanded by the collimation and expansion lens 2, and the whole clear aperture is filled with the beam; then the parallel light after collimation and beam expansion is projected on a beam splitter prism 3; the beam splitter prism 3 splits the collimated and expanded Gaussian beam and transmits the Gaussian beam to the spatial light modulator 4 through the beam splitter; designing an auto-acceleration beam phase diagram with a determined propagation track through a computer 5, obtaining a light cage beam phase diagram after radial symmetry, loading the light cage beam phase diagram on a spatial modulator, and carrying out phase modulation on a Gaussian beam to be split through a spatial light modulator 4 loaded with the light cage beam phase diagram; finally, the modulated light beam is subjected to Fourier transform through a Fourier lens 6, and a light cage light beam is generated on the back focal plane of the Fourier lens 6; received by the image sensing receiver 7 and finally displayed for viewing by the display 8.
In the embodiment, the characteristic that the self-accelerating light beam is transmitted along the curved track is utilized to make the one-dimensional self-accelerating light beam be radially symmetrical to be changed into the circularly symmetrical annular self-accelerating light beam, so that a light cage light beam phase diagram is obtained, the preset light cage light beam phase diagram is loaded to the spatial light modulator in advance through the computer, so that the spatial light modulator carries out phase modulation based on the light cage light beam phase diagram, a high-precision optical focusing system and a complex optical diffraction combination element are not needed in the system, and the requirement on the experimental environment is low. The size and shape of the light cage beam can be adjusted by regulating and controlling the propagation track of the self-accelerating beam, so that the optical cage beam is suitable for more flexible optical capture and has important significance in the application in long distance, large angle and complex environment.
An embodiment of the present invention further provides a light cage light beam generating method based on an auto-acceleration light beam, and fig. 2 is a flowchart of the light cage light beam generating method based on the auto-acceleration light beam according to the embodiment of the present application, and as shown in fig. 2, the flow includes the following steps:
step S201, generating a Gaussian beam and transmitting the Gaussian beam to the spatial light modulator 4;
step S202, pre-loading a predetermined light cage beam phase diagram to the spatial light modulator 4; the optical cage light beam phase diagram is obtained by radially and symmetrically obtaining the self-accelerating light beam phase;
step S203, carrying out phase modulation on the Gaussian beam according to the light cage beam phase diagram;
and step S204, carrying out Fourier transform on the Gaussian beam after phase modulation to obtain the light cage beam based on the self-accelerating beam.
In some embodiments, the self-accelerating beam phase can be obtained by:
s2021, establishing a mathematical model between a transmission track and a phase of the self-accelerating light beam;
s2022, calculating according to a transmission track of the given self-accelerating light beam and the mathematical model to obtain the phase of the self-accelerating light beam.
In some embodiments, the mathematical model between the transmission trajectory and the phase of the self-accelerating light beam is as follows:
wherein s = f (ξ) is a transmission trajectory of the self-accelerating light beam; ξ = z λ/(2 π x) 0 2 ) Is the normalized propagation distance; x is the number of 0 Is a transverse scale factor; λ is the wavelength; k is the dimensionless spatial frequency corresponding to s;
is the phase of the self-accelerating beam.
On the basis of the above embodiments, in some of the embodiments, the expression of the phase diagram of the light cage beam is as follows:
wherein
k x 、k y Are respectively corresponding to s x And s y Dimensionless spatial frequency of (a); s x ＝x/x 0 ,s y ＝y/y 0 ；x 0 And y 0 Are all scale factors; x and y are respectively the horizontal and vertical coordinates.
Of course, in this embodiment, the mathematical model between the transmission track and the phase of the self-accelerating beam may also be other models, and may be obtained by designing through the computer 5, for example, the computer 5 may construct the mathematical model between the transmission track and the phase of the self-accelerating beam by using a diffraction mutation theory and combining a local spatial frequency and a phase superposition principle, which is not described in detail herein.
The embodiments of the present application are described and illustrated below by means of preferred embodiments.
Example 1
The embodiment provides a light cage beam generation method based on an auto-acceleration beam propagating along a fourth power track, which mainly comprises the following steps:
step S201, generating a Gaussian beam and transmitting the Gaussian beam to the spatial light modulator 4;
step S202, let the transmission trajectory of the fourth power self-acceleration beam be: f (xi) = a (xi-b) 4 + c, through the mathematical model between the transmission track and the phase of the self-accelerating beam, the phase expression of the self-accelerating beam propagating along the fourth power track is obtained as follows:
and carrying out radial symmetry operation on the self-accelerating beam phase expression to obtain the light cage beam phase diagram expression as follows:
according to the expression, taking a =1/6000, b =30 and c = -20, designing a phase diagram of the light cage beam through the computer 5, and loading the phase diagram on the spatial modulator;
step S203, the phase modulation is carried out on the split Gaussian beam through the spatial light modulator 4 loaded with the phase pattern;
step S204, the modulated Gaussian beam is Fourier transformed by the Fourier lens 6, and a light cage beam of the self-accelerating beam which propagates along the fourth power track is generated on the back focal plane of the Fourier lens 66 (refer to FIG. 3);
in step S205, the light field distribution of the light cage beam in a certain Z plane can be finally displayed and observed by the display 8 (see fig. 4).
Example 2
The embodiment provides a light cage beam generation method based on self-accelerating beams propagating along half-cycle sinusoidal tracks, which mainly comprises the following steps:
step S201, generating a Gaussian beam and transmitting the Gaussian beam to the spatial light modulator 4;
step S202, let the transmission track of the sinusoidal track self-accelerating beam be f (ξ) = Asin (ω ξ), and obtain the self-accelerating beam phase expression propagating along the half-cycle sinusoidal track through the mathematical model of the self-accelerating beam phase and its transmission track:
wherein k is 1 k/(A ω), and satisfies-A ω ≦ k ≦ A ω.
And carrying out radial symmetry operation on the self-accelerating beam phase expression to obtain the light cage beam phase expression as follows:
wherein k is 1 ＝k r V (A ω), and satisfy0≤k r ≤Aω。
According to the expression, taking A =60 and the period 2 pi/omega =120, designing by a computer 5 to obtain a phase diagram of the light cage beam, and loading the phase diagram on a spatial modulator;
step S203, the phase modulation is carried out on the split Gaussian beam through the spatial light modulator 4 loaded with the phase pattern;
step S204, performing fourier transform on the modulated gaussian beam through the fourier lens 6, and generating a light cage beam of the self-accelerating beam propagating along a half-cycle sinusoidal trajectory on a back focal plane of the fourier lens 6 (see fig. 5);
in step S205, the light field distribution map in a certain Z plane can be finally displayed and observed by the display 8 after being received by the CCD receiver (see fig. 6).
It should be noted that the steps illustrated in the above-described flow chart or flow chart of the figures may be performed in a computer 5 system such as a set of computer 5 executable instructions and that, although a logical order is illustrated in the flow chart, in some cases the steps illustrated or described may be performed in an order different than here.
In addition, in combination with the self-accelerating beam-based light cage beam generation method in the foregoing embodiments, the embodiments of the present application may be implemented by providing a computer-readable storage medium. The computer readable storage medium having stored thereon computer program instructions; the computer program instructions, when executed by a processor, implement any of the above embodiments of a self-accelerating beam based light cage beam generation method.
The technical features of the embodiments described above may be arbitrarily combined, and for the sake of brevity, all possible combinations of the technical features in the embodiments described above are not described, but should be considered as being within the scope of the present specification as long as there is no contradiction between the combinations of the technical features.
The above-mentioned embodiments only express several embodiments of the present application, and the description thereof is more specific and detailed, but not construed as limiting the scope of the invention. It should be noted that, for a person skilled in the art, several variations and modifications can be made without departing from the concept of the present application, which falls within the scope of protection of the present application. Therefore, the protection scope of the present patent shall be subject to the appended claims.
Claims (6)
1. A self-accelerating beam based light cage beam generation system, comprising:
the Gaussian light emitting unit is used for emitting Gaussian light beams and transmitting the Gaussian light beams to the spatial light modulator;
a computer for preloading a predetermined light cage beam phase map to the spatial light modulator; the light cage light beam phase diagram is a phase diagram obtained by radial symmetry of different self-accelerating light beam phases corresponding to self-accelerating light beam transmission tracks with different values; wherein the radial pair is referred to as transforming the self-accelerating beam phase from a rectangular to a cylindrical coordinate system; the computer is further configured to: establishing a mathematical model between the transmission track and the phase of the self-accelerating light beam; calculating the self-accelerating light beam phase according to a preset transmission track of the self-accelerating light beam and the mathematical model; wherein; the mathematical model between the transmission track and the phase of the self-accelerating light beam is as follows:
wherein s = f (ξ) is a transmission trajectory of the self-accelerating light beam; ξ = z λ/(2 π x) 0 2 ) Is a normalized propagation distance; x is the number of 0 Is a transverse scale factor; λ is the wavelength; k is the dimensionless spatial frequency corresponding to s;
is the phase of the self-accelerating beam; the expression of the phase diagram of the light cage beam is as follows:
wherein
k x 、k y Are respectively corresponding to s x And s y Dimensionless spatial frequency of (a); s x ＝x/x 0 ,s y ＝y/y 0 ；x 0 And y 0 Are all scale factors; x and y are respectively horizontal and vertical coordinates;
the spatial light modulator is positioned on a transmission light path of the Gaussian beam and used for carrying out phase modulation on the Gaussian beam according to the light cage beam phase diagram;
and the Fourier lens is used for performing Fourier transform on the Gaussian beam after phase modulation to obtain a light cage beam based on the self-accelerating beam.
2. The self-accelerating beam based light cage beam generation system of claim 1, further comprising a beam splitter between the gaussian light emitting unit and the spatial light modulator for transmitting the gaussian beam to the spatial light modulator.
3. The self-accelerating beam based light cage beam generation system as claimed in claim 2, further comprising a collimating and beam expanding lens located between the gaussian light emitting unit and the beam splitter for receiving the gaussian beam and performing gaussian beam collimating and beam expanding.
4. The self-accelerating beam based light cage beam generation system of claim 3, further comprising: and the beam splitting prism is used for splitting the collimated and expanded Gaussian beam.
5. The self-accelerating beam based light cage beam generation system as recited in claim 1, further comprising: and the image sensing receiver is used for receiving the light cage light beam and transmitting the light cage light beam to a display.
6. The self-accelerating beam based light cage beam generation system of claim 5, further comprising: and the display unit is used for displaying the light cage beams received by the image sensing receiver.
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