CN115308917A - System for adjusting phase rotation angle between vector light field modes along with distance - Google Patents

System for adjusting phase rotation angle between vector light field modes along with distance Download PDF

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CN115308917A
CN115308917A CN202211012208.6A CN202211012208A CN115308917A CN 115308917 A CN115308917 A CN 115308917A CN 202211012208 A CN202211012208 A CN 202211012208A CN 115308917 A CN115308917 A CN 115308917A
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light field
rotation angle
modes
distance
vector
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胡晓博
陈瑞品
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Zhejiang Sci Tech University ZSTU
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    • G02OPTICS
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    • 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
    • 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
    • G02B27/09Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
    • G02B27/0927Systems for changing the beam intensity distribution, e.g. Gaussian to top-hat
    • 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
    • G02B27/09Beam shaping, e.g. changing the cross-sectional area, not otherwise provided for
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Abstract

The invention discloses a system for adjusting a phase rotation angle between modes of a vector light field along with distance, which comprises a Gaussian light source, a beam expanding device, a diagonal linear polarized light generator, a generating system of vector light beams with any structure and a detection device, wherein a Digital Micromirror Device (DMD) is arranged in the vector light beam generating system, so that the transmission of the phase rotation angle between the modes of the vector light field along with the distance can be flexibly adjusted and controlled only by topological load modulation without any specially-processed optical element, and the results have potential application prospects in the related fields of micro-particle control, quantum optics and the like.

Description

System for adjusting phase rotation angle between vector light field modes along with distance
Technical Field
The invention relates to the field of optics, in particular to a system for adjusting a phase rotation angle between modes of a vector light field along with a distance.
Background
As is well known, laser has many physical properties, thus playing an important role in information transmission, and is now widely used in the fields of medical treatment, industry, optical communication, etc., such as amplitude, which affects the intensity of objects observed by people; frequency, affecting the observation of color; phase distribution, the form of interaction that affects light and matter, etc. In the field of photonics today, reports on optical vortices and photon orbital angular momentum are as great as the sea. Especially since the concept that laguerre gaussian beams can carry orbital angular momentum was disclosed by Allen et al in 1992, various new spatial light fields carrying orbital angular momentum gradually come into the sight of people. Particularly, a two-dimensional vector light field formed by coupling two degrees of freedom of a vortex structure and a polarization state of photons in an inseparable mode has more novel and unique vector control characteristics of more dimensions, and has attracted people's wide interest in light field vector regulation and control.
At present, research on vector light fields mainly focuses on the regulation and control of transverse and longitudinal vector characteristics of light fields: wherein the optical field transverse regulation comprises the transverse distribution regulation of information such as optical field intensity, polarization state, phase and the like; the longitudinal regulation and control of the vector light field are mostly limited to the research on novel properties exhibited by the polarization characteristics of the vector light field under specific conditions, for example, under the condition of tight focusing, the ultra-strong tight focusing force of the vector light field with radial polarization distribution has huge application potential in the fields of material micromachining and the like. The diversified phase distribution of the vector light field can provide diversified modes for light and substances, particularly, the phase transmission characteristic of the light field can be flexibly regulated and controlled under the free transmission condition, and the method has great significance to the field of micro particle control. However, to date, the problem of flexibly manipulating the phase information in the free transmission process of the optical field still remains to be solved.
Disclosure of Invention
In order to overcome the defects in the prior art, the invention provides a system for adjusting the phase rotation angle between the modes of the vector light field along with the distance, which can realize the adjustment of the phase rotation angle of the light field by utilizing the topological load adjustment of the circular Airy vortex vector light field.
Technical scheme
A system for adjusting the phase rotation angle between the modes of a vector light field along with the distance comprises a Gaussian light source, a beam expanding device, a diagonal linear polarized light generator, a generating system of vector light beams of any structure and a detecting device which are sequentially arranged from left to right, wherein a Digital Micromirror Device (DMD) for digitally regulating and controlling light field parameters is arranged in the generating system.
Further, the beam expanding device comprises a first lens with a focal length of 20mm and a second lens with a focal length of 200mm, and the beam expanding device can achieve beam collimation and ten times of expansion in size.
Further, the diagonal linear polarized light generator comprises a half wave plate for adjusting the polarization state of the output light beam to be 45 degrees in the diagonal.
Further, the generating system includes a wollaston prism.
Further, the generating system further comprises a quarter wave plate, and the generating system further comprises a third lens with a focal length of 150mm and a fourth lens with a focal length of 150 mm.
Furthermore, the generating system also comprises the digital micromirror device DMD, the hologram loaded by the digital micromirror device DMD comprises a digital grating, and the transmission of the two beams of left-handed and right-handed circularly polarized light along the same transmission path can be realized by adjusting the grating coefficient.
Further, the circular airy vortex vector beam generated by the generating system is expressed as:
Figure BDA0003811027970000021
wherein cos θ,
Figure BDA0003811027970000022
As weighting factors, (r, phi) are cylindrical coordinate parameters,
Figure BDA0003811027970000023
and
Figure BDA0003811027970000024
are left and right hand circular polarization basis losses, and in addition,
Figure BDA0003811027970000025
is the phase difference existing between the two polarization basis losses,
Figure BDA0003811027970000026
and with
Figure BDA0003811027970000027
As two orthogonal spatial modesFormula base loss is respectively carried
Figure BDA0003811027970000028
A circular airy vortex beam of orbital angular momentum,
Figure BDA0003811027970000029
is Planck constant.
Further, the circular airy vortex beam can be expressed as:
Figure BDA00038110279700000210
wherein Ai () represents an Airy function; r is the radius, r 0 Is the beam main ring radius; a is a cutoff factor; ω is the beam waist radius; m is the topological charge; v is an initial emission angle parameter.
Furthermore, the digital micromirror device DMD regulates and controls the topological charge parameter of the circular Airy vortex vector light beam, so that the rotation angle of the inter-mode phase of the light beam along with the transmission of the light beam is controlled.
Further, the detection device comprises an analyzer with an adjustable rotation angle.
Further, the detection device also comprises a CCD receiving device.
Further, the generated light beams pass through the analyzer 8 with the angles adjusted to 0 °, 45 °, 90 ° and 135 °, and the light intensities Ih, id, iv and Ia of the four light beams under different conditions are recorded by the CCD receiving device 9.
Further, by the obtained four light intensities Ih, id, iv and Ia, the stokes parameter S can be obtained 1 ,S 2 The concrete relation is as follows:
S 1 =I h -I v ,S 2 =I d -I a
further, by the Stokes parameter S 1 And S 2 The intermode phase distribution of the generated vector beams can be obtained, and the specific relation is as follows:
φ=arctan(S 2 /S 1 )
further, by observing the phase between the modes of the light beam, as the transmission distance of the light beam increases, the phase between the modes rotates, and the rotation angle is related to the topological charge parameter of the light beam, and the specific relationship is as follows:
Figure BDA0003811027970000031
furthermore, on the premise that the light path of the circular airy vortex vector light beam is not changed, the phase angle between the vector light field modes based on the modulation of the topological load can be regulated and controlled along with the distance only by changing the topological load parameter in the circular airy vortex vector light beam loaded on the digital micromirror device DMD.
Advantageous effects
Compared with the prior art, the invention has the following beneficial effects:
the method does not need to process materials with special structures, and has the characteristics of wide application range, high flexibility, simple digital control and the like; in addition, the invention has simple structure and low cost, and can flexibly control the phase rotation angle between the light field modes by controlling the DMD to change the parameters of the target vector light beam by the computer on the premise of not using any optical element.
Drawings
FIG. 1 is a schematic structural diagram of a system for adjusting a phase rotation angle between modes of a vector light field according to a distance according to the present invention;
FIG. 2 shows the topological charge { m } 1 ,m 2 The circular Airy vortex vector beams with {1, -1}, {1,0} and { 1-2 } respectively, have their inter-mode phases rotated with the beam transmission angle, which correspond to diagrams (a), (b) and (c), respectively.
Reference numerals
The device comprises a Gaussian light source A, a beam expanding device B, a diagonal linear polarized light generator C, a generating system D, a detecting device E, a first lens 1, a second lens 2, a Wollaston prism 3, a quarter-wave plate 4, a third lens 5, a fourth lens 6, a digital micromirror device DMD7, a polarization analyzer 8 and a CCD receiving device 9.
Detailed Description
For a better illustration of the invention, reference is made to the following description, taken in conjunction with the accompanying drawings and examples:
as shown in fig. 1-2, the system for adjusting the phase rotation angle between the modes of a vector light field along with the distance comprises a gaussian light source a, a beam expander B, a linearly polarized light generator C with a diagonal line (45 °), a generating system D of a vector light beam with any structure and a detection device E, which are sequentially arranged from left to right, wherein a digital micromirror device DMD7 for digitally regulating and controlling light field parameters is arranged in the generating system D.
Further, the beam expanding device B comprises a first lens 1 with a focal length of 20mm and a second lens 2 with a focal length of 200mm, and the beam expanding device B can collimate the light beams and expand the size ten times.
Further, the diagonally polarized light generator C includes a half wave plate (not shown) for adjusting the polarization state of the output beam to be 45 degrees diagonally.
Further, the generating system D comprises a wollaston prism 3 for projecting +45 ° linearly polarized light into two light beams with equal intensity along two horizontal and vertical polarization directions, and the transmission included angle of the two light beams with orthogonal polarization states is 1.5 °.
Further, the generation system D further includes a quarter wave plate 4 for changing the horizontal and vertical linear polarization states to be left-handed and right-handed circular polarization respectively, and the generation system D further includes a third lens 5 with a focal length of 150mm and a fourth lens 6 with a focal length of 150 mm.
Further, the generating system D further includes the digital micromirror device DMD7, the hologram loaded on the digital micromirror device DMD7 includes a digital grating, and transmission of two beams of left-handed and right-handed circularly polarized light along the same transmission path can be realized by adjusting the grating coefficient.
Further, the circular airy vortex vector beam generated by the generating system D is represented as:
Figure BDA0003811027970000041
wherein cos θ,
Figure BDA0003811027970000042
As weighting factors, (r, phi) are cylindrical coordinate parameters,
Figure BDA0003811027970000043
and
Figure BDA0003811027970000044
are left and right hand circular polarization basis losses, and in addition,
Figure BDA0003811027970000045
is the phase difference existing between the two polarization basis losses,
Figure BDA0003811027970000046
and
Figure BDA0003811027970000047
as two orthogonal spatial mode basis losses, respectively carry
Figure BDA0003811027970000048
A circular airy vortex beam of orbital angular momentum,
Figure BDA0003811027970000049
constant for Planck.
Further, the circular airy vortex beam can be expressed as:
Figure BDA00038110279700000410
wherein Ai () represents an Airy function; r is the radius, r 0 Is the beam main ring radius; a is a cutoff factor; ω is the beam waist radius; m is the topological charge; v is an initial emission angle parameter.
Furthermore, on the premise of not moving any optical component, the circular Airy vortex light field can regulate and control the topological load parameter of the target light field through the digital micromirror device DMD7 and the computer, so that the regulation and control of the phase angle between the modes along with the transmission distance of the light beam are realized.
Further, the detection device E includes an angle-adjustable analyzer 8 and a CCD receiving device 9, and reconstructs the intermode phase distribution of the light beam by recording the light intensities under different conditions, thereby realizing observation that the intermode phase angle of the light beam rotates along with the transmission of the light beam.
Further, the generated light beams pass through the analyzer 8 with the angles adjusted to 0 °, 45 °, 90 ° and 135 °, and then the light intensities Ih, id, iv and Ia of the four light beams under different conditions are recorded by the CCD receiving device 9.
Further, a Stokes parameter S is obtained through four light intensity values Ih, id, iv and Ia 1 And S 2
Further, by the Stokes parameter S 1 And S 2 And reconstructing the transverse intermodal phase distribution of the obtained target light field, so as to observe the angular rotation of the phase along with the transmission of the light beam.
Furthermore, the control of the rotation angle of the inter-mode phase along with the distance can be realized by modulating the topological load parameters of the light beam and measuring the inter-mode phase of the light beam in the transmission process.
Specifically, the Gaussian light source A is a laser source of 532nm, and the laser source A is modulated into a circular Airy vortex vector light field, so that the rotation angle of the phase between light field modes along with the transmission distance can be controlled;
FIG. 2 shows three different topological charge parameters m 1 ,m 2 Vortex vector light field in circle Airy
Figure BDA0003811027970000051
The transverse intermodal phase diagram under three different conditions of transmission distance of z =0mm, z =720.0mm and z =783.0mm respectively has the other parameters of a =0.4, omega =0.1, r 0 =1,v 1 =v 2 =0, the phase between vortex optical field modes with topological charge parameter {1, -1} is not rotated with the increase of transmission distance, i.e. Δ Φ =0 as shown in graph (a); the inter-mode phase of the vortex light field with the topological charge parameter of {1,0} rotates by pi/2 clockwise, namely
Figure BDA0003811027970000052
As shown in figure (b); the intermodal phase of the vortex light field with topological charge parameters of {1, -2} rotates by pi/3 anticlockwise, namely
Figure BDA0003811027970000053
As shown in figure (c); the relationship between the phase rotation angle between the modes and the topological charge parameter satisfies the following conditions:
Figure BDA0003811027970000054
therefore, the topological charge parameters of the target vector light beam can be regulated and controlled through the digital micromirror device DMD7, so that the rotation angle of the phase between the light field modes along with the distance can be controlled.
Finally, it should be noted that: the above examples are only intended to illustrate the technical solution of the present invention, and not to limit it; although the technical solutions of the present invention have been described in detail with reference to the foregoing embodiments, it should be understood by those skilled in the art that the technical solutions described in the foregoing embodiments can be modified or some technical features can be replaced equally; and the modifications or the substitutions do not make the essence of the corresponding technical solutions depart from the spirit and scope of the technical solutions of the embodiments of the present invention.

Claims (8)

1. The utility model provides a system that phase place rotation angle is adjustable along with distance between vector light field mode which characterized in that: including from gaussian light source (A), beam expander (B), diagonal direction linearly polarized light generator (C), the production system (D) and detection device (E) of arbitrary structure vector light beam that set gradually from a left side to the right side, beam expander (B) includes that focus is 20 mm's first lens (1), focus are 200 mm's second lens (2), diagonal direction linearly polarized light generator (C) includes half wave plate, production system (D) is including wollaston prism (3), is used for changing quarter wave plate (4) of light beam polarization state, focus are 150 mm's third lens (5), focus are 150 mm's fourth lens (6), digital micromirror device DMD (7) of digital regulation and control light field parameter, detection device (E) includes polarization analyzer (8) and CCD receiving arrangement (9).
2. The system of claim 1, wherein the system is capable of adjusting the phase rotation angle between the modes of the vector light field with the distance, and comprises: the circular airy vortex vector beam generated by the generating system (D) is represented as:
Figure FDA0003811027960000011
wherein cos θ,
Figure FDA0003811027960000012
As weighting factors, (r, phi) are cylindrical coordinate parameters,
Figure FDA0003811027960000013
and
Figure FDA0003811027960000014
are left and right hand circular polarization basis losses, and in addition,
Figure FDA0003811027960000015
for the phase difference existing between the two polarization basis losses,
Figure FDA0003811027960000016
and
Figure FDA0003811027960000017
as two orthogonal spatial mode basis losses, respectively carry
Figure FDA0003811027960000018
A circular airy vortex beam of orbital angular momentum,
Figure FDA0003811027960000019
is Planck constant.
3. The system of claim 2, wherein the system is capable of adjusting the phase rotation angle between the modes of the vector light field with the distance, and comprises: the circular airy vortex beam can be expressed as:
Figure FDA00038110279600000110
wherein Ai () represents an Airy function; r is the radius, r 0 Is the beam main ring radius; a is a cutoff factor; ω is the beam waist radius; m is the topological charge; v is an initial emission angle parameter.
4. The system of claim 3, wherein the vector light field intermodular phase rotation angle with distance is adjustable based on topological load modulation, and the system comprises: on the premise of not moving any optical component, the circular Airy vortex light field can be digitally binary coded by the digital micromirror device DMD (7) and a computer to generate any circular Airy vortex vector light beam meeting the requirement.
5. The system of claim 4, wherein the system is capable of adjusting the phase rotation angle between the modes of the vector light field with the distance, and comprises: the Stokes parameters S can be obtained by adjusting the angles of the analyzer (8) to be 0 degree, 45 degrees, 90 degrees and 135 degrees respectively and then recording corresponding light intensity by using the CCD receiving device (9) 1 And S 2 The concrete relation is as follows:
S 1 =I h -I v ,S 2 =I d -I a
6. the system of claim 5, wherein the system is capable of adjusting the phase rotation angle between the modes of the vector light field with the distance, and comprises: using the obtained Stokes parameters S 1 And S 2 The phase distribution among the modes of the vector light field can be reconstructed, so that the observation that the phase angle among the modes of the obtained light beam rotates along with the transmission of the light beam is realized, and the specific relation is as follows:
φ=arctan(S 2 /S 1 )
7. according to claim6 a vector light field intermode phase place rotation angle is along with adjustable system of distance which characterized in that: by selecting two spatial modes
Figure FDA0003811027960000021
And
Figure FDA0003811027960000022
middle and different topological charge m 1 、m 2 The method can realize the operation of adjustable and controllable phase angle rotation between the obtained light beam modes, and has the specific relationship as follows:
Figure FDA0003811027960000023
8. the system of claim 7, wherein the system is capable of adjusting the phase rotation angle between the modes of the vector light field with the distance, and comprises: the digital micromirror device DMD (7) can realize digital regulation and control of the topological charge parameters of the target light beam, so that flexible regulation and control of the phase rotation angle between the modes of the vector light field based on topological charge modulation along with the transmission distance are realized.
CN202211012208.6A 2022-08-23 2022-08-23 System for adjusting phase rotation angle between vector light field modes along with distance Pending CN115308917A (en)

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115933208A (en) * 2022-12-09 2023-04-07 聊城大学 Method for generating arbitrary vector beam based on hologram encoding

Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN115933208A (en) * 2022-12-09 2023-04-07 聊城大学 Method for generating arbitrary vector beam based on hologram encoding

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