CN108107498A - A kind of non-linear phase gradient based on rotation crystal orientation surpasses surface - Google Patents

A kind of non-linear phase gradient based on rotation crystal orientation surpasses surface Download PDF

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CN108107498A
CN108107498A CN201711346465.2A CN201711346465A CN108107498A CN 108107498 A CN108107498 A CN 108107498A CN 201711346465 A CN201711346465 A CN 201711346465A CN 108107498 A CN108107498 A CN 108107498A
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phase gradient
phase
linear
crystal orientation
slit
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CN108107498B (en
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罗先刚
马晓亮
蒲明博
李雄
谢鑫
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Institute of Optics and Electronics of CAS
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Institute of Optics and Electronics of CAS
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B5/00Optical elements other than lenses
    • G02B5/30Polarising elements
    • G02B5/3083Birefringent or phase retarding elements
    • GPHYSICS
    • G02OPTICS
    • G02FOPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/35Non-linear optics

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  • Physics & Mathematics (AREA)
  • Nonlinear Science (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Optical Modulation, Optical Deflection, Nonlinear Optics, Optical Demodulation, Optical Logic Elements (AREA)
  • Polarising Elements (AREA)

Abstract

The present invention provides a kind of non-linear phase gradients based on rotation crystal orientation to surpass surface, including with triple (C3), five weight (C5) etc. high-orders rotational symmetry sub-wavelength metallic hole or slit.The present invention breaks the selection rule of conventional geometric position mutually super surface cell structure, by design triangle shape, Y-shaped, pentagon etc. there is the sub-wavelength metallic hole of rotating multi symmetry or slit to obtain unusual nonlinear geometry phase gradient in linear optical system.This phase gradient is different from traditional nonlinear phase, and traditional nonlinear phase is often referred to the phase entrained by high-order harmonic wave (n >=2), and the phase gradient generated here derives from fundamental wave (n=1).The present invention realizes non-linear phase gradient in linear super surface, has overturned cognition of the people to geometric phase in linearly super surface, and the principle and application to Spatial transmission in linear optical system are of great significance.

Description

A kind of non-linear phase gradient based on rotation crystal orientation surpasses surface
Technical field
The present invention relates to electromagnetic wave phases to regulate and control field, is to be related to one kind to generate in linear optical material specifically Nonlinear geometry phase gradient surpass surface.
Background technology
In linear optical system, incident circularly polarized light interacts with anisotropic super structure functional motif, transmission Or there is the circularly polarized light opposite with incident light chirality in reflected light, and carry related with super structure functional motif rotation angle Geometric phase, i.e. Pancharatnam-Berry geometric phases.The major advantage of P-B geometric phases is it independent of structure Size, optical resonance and intrinsic material dispersion, therefore its phase regulation and control field in place has received widespread attention and studies.It is logical Often, the super surface based on P-B phases selects the sub-wavelength structures such as rectangular opening/column, elliptical aperture/column to pass through rotation as super structure unit Turn these functional units to generate the phase difference of the σ θ of Φ=2.Here, θ is the azimuth of super structure unit, and σ=± 1 represents left respectively Rotation or right-hand circular polarization.
The geometric phase being analogous in linear optical system, someone introduce nonlinear optics geometry phase on super structure surface Position, and prove that it can continuously control the phase of effective non-linear susceptibility.For identical with fundamental wave circular polarization state rotation direction or Opposite non-linear harmonic wave radiation, the corresponding geometric phase of n-th non-linear harmonic wave are (n+1) i σ θ or (n+1) i σ θ.It is non-linear The one very big advantage of harmonic wave geometric phase is exactly, and has the super structure primitive of m fold rotational symmetry, and as m >=3, it is in linear light There is isotropism response in.Therefore, adjusting the azimuth of super structure primitive and then controlling the non-linear of some harmonic numbers During phase, the linear optics response homogeneity of fundamental wave is not interfered with.
It is obvious that above-mentioned nonlinear optics geometric phase is for the high-order harmonic wave generated, and for linear Optical system is there is no nonlinear phase gradient, this has limited to several significantly in the cognition of people that is, for fundamental wave Development of the He Weixiang in linear optical system.
The content of the invention
The present invention proposes one kind in linear optical system, and the non-linear phase gradient based on rotation crystal orientation surpasses surface, There is the sub-wavelength metallic hole or slit of rotating multi symmetry by design triangle shape, Y-shaped, pentagon etc. so that linear Fundamental wave in super surface carries nonlinear geometric phase.
The technical solution adopted by the present invention to solve the technical problems is:A kind of non-linear position based on rotation crystal orientation is mutually terraced The super surface of degree has triple (C including one layer3), five weight (C5) etc. high-orders rotational symmetry sub-wavelength metallic hole or slit, energy It is enough to surpass acquisition nonlinear geometry phase gradient in surface in linear optics.
Wherein, the thickness of the metal aperture or slit is h, value range h<λ0/ 4, λ0Centered on wavelength.
Wherein, the value range of the metal aperture or the period p of slit is p<λ0/ 2, λ0Centered on wavelength.
Wherein, the metal layer material can be gold, aluminium etc..
Wherein, the transmission cross polarization ingredient on the super surface and reflection cross polarization ingredient are respectively provided with this phase gradient.
Wherein, the rotational symmetries of the sub-wavelength metallic hole or slit with triple, five weights or higher odd number exponent number are Can, it is not limited to the forms such as equilateral triangle, regular pentagon.
Wherein, the super surface phase gradient has universality, is not only suitable for visible light wave range, is also applied for infrared waves Section.
The device have the advantages that it is:
The present invention breaks the selection rule of conventional geometric position mutually super surface cell structure, by design triangle shape, Y-shaped, Pentagon etc. have rotating multi symmetry sub-wavelength metallic hole or slit linear optics surpass obtained in surface it is non-linear Geometry texture gradient.This phase gradient is different from traditional nonlinear phase, and it is humorous that traditional nonlinear phase is often referred to high-order Phase entrained by ripple (n >=2), and the phase gradient generated here derives from fundamental wave (n=1).The present invention is on linear super surface In realize nonlinear phase gradient, cognition of the people to geometric phase in linearly super surface has been overturned, to linear optics system The principle of Spatial transmission and application are of great significance in system.
Description of the drawings
Fig. 1 is several cellular construction schematic diagrams of the present invention;
Fig. 2 is simulation result of the postrotational phase difference of cellular construction with wavelength change;
Fig. 3 is the far field construction pattern that CCD is recorded under different distance in experiment, and wherein Fig. 3 (a) is under Z=0 μm of distance The far field construction pattern of CCD records, Fig. 3 (b) are the Z=20 μm of far field construction pattern apart from lower CCD records, and Fig. 3 (c) is Z= 40 μm of far field construction patterns apart from lower CCD records;
Fig. 4 is distribution situation of the diffracted intensity in xz planes of record.
Specific embodiment
Below in conjunction with the accompanying drawings and specific embodiment the present invention is described in detail, but protection scope of the present invention is not Example below is only limitted to, the full content in claims should be included.And those skilled in the art are from following one The full content in claim can be realized in embodiment.
The specific implementation process is as follows:
As shown in Figure 1, the phase gradient, which surpasses surface, includes one layer of sub-wavelength metallic hole or slit, the thickness of hole or slit is H, cycle p.
With reference to said structure, illustrate that the present invention realizes the principle of phase-modulation first, it is as follows:
In linear optical system, people think always, and rotatory polarization only incides into anisotropic super structure functional motif On, a kind of geometric phase can just be carried with the chiral opposite circularly polarized light of incident light by having in transmission or reflection light.This phase It is only related with the rotation angle of super structure primitive, it is known as Pancharatnam-Berry geometric phases, the θ of Φ=± 2 can be expressed as. And in fact, rotatory polarization incide into macroscopically in isotropism but with odd-order rotational symmetry super structure unit on, transmission Or the ingredient of generation polarization conversion still carries geometric phase in reflected light.This phase can be expressed as Φ=± 2m θ, Middle m is the exponent number of cellular construction rotational symmetry.It can be found that situation when P-B phases are just for m=1.And for being carried The C such as the triangle, Y-shaped hole or the slit that arrive3Structure will generate the phase gradient of the θ of Φ=± 6, for C such as pentagon holes5Knot Structure will generate the phase gradient of the θ of Φ=± 10.
In order to be better understood from the present invention, it is further expalined with reference to embodiment 1.
Embodiment 1
Without loss of generality, selection has triple rotational symmetry (C here3) equilateral triangle hole exemplified by illustrate, Metal layer material selected as gold, dielectric constant are obtained from Palik optics handbooks.The structure is emulated using CST software Optimization, emulation wave band are 600-750nm, and the cellular construction parameter after optimization is p=300nm, h=120nm, triangle length of side d =150nm.
It is as shown in Figure 2 by the phase difference caused by rotary unit structure.It can see that, in entire 600-750nm ripples Section, cellular construction often rotates 10 °, generates 60 ° relatively stable of phase difference, meets the relation of the θ of Φ=± 6.
Next, a full mould with light beam deviation effect is devised come this phase gradient of testing.It will rotation Cellular construction arrange along the x-axis direction, the plane wave of a branch of Left-hand circular polarization is incided into below structure on super surface, transmitted light In dextrorotation ingredient deviation will occur, deflection angle isHere, λ represents incident wavelength, and P represents super surface Cycle meets P=np, and wherein p is the cycle of cellular construction, and n represents the exponent number of phase gradient.It is really obtained by imitating entirely in λ Deviation angle at=632.8nm is 20.5 °, consistent with theoretical formula method result.
In order to experimentally observe this deflection phenomenon and then confirm this phase gradient, sample is machined using FIB And it is tested.By the 632.8nm circularly polarized lasers of a branch of collimation along the z-axis direction perpendicular through sample, recorded not using CCD The far field construction pattern of transmitted light under same distance.Fig. 3 show Z=0, Z=20 μm, Z=40 μm when record as a result, can see See apparent pattern movement.In order to more accurately characterize the deviation effect of light beam, the diffraction pattern of x/y plane is had recorded every 1 μm Sample finally intercepts the mapping of xz sections, as shown in Figure 4.It can see that, deviation occurs in diffraction pattern, and the deflection angle measured approaches It is consistent with theoretical and simulation result for 20.5 °.
Therefore, the embodiment of the present invention is described above in conjunction with attached drawing, but the invention is not limited in above-mentioned Specific embodiment, above-mentioned embodiment is only schematical rather than restricted.The present invention does not elaborate portion Belong to the known technology of those skilled in the art.

Claims (7)

1. a kind of non-linear phase gradient based on rotation crystal orientation surpasses surface, it is characterised in that:There are triple (C including one layer3)、 Five weight (C5) etc. high-orders rotational symmetry sub-wavelength metallic hole or slit, can linear optics surpass obtained in surface it is non-linear Geometry texture gradient.
2. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute The thickness for stating metal aperture or slit is h, value range h<λ0/ 4, λ0Centered on wavelength.
3. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute The value range for stating metal aperture or the period p of slit is p<λ0/ 2, λ0Centered on wavelength.
4. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute It can be gold, aluminium etc. to state metal layer material.
5. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute The transmission cross polarization ingredient and reflection cross polarization ingredient for stating super surface are respectively provided with this phase gradient.
6. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute Stating sub-wavelength metallic hole or slit has the rotational symmetry of triple, five weights or higher odd number exponent number, is not limited to positive three The forms such as angular, regular pentagon.
7. a kind of non-linear phase gradient based on rotation crystal orientation according to claim 1 surpasses surface, it is characterised in that:Institute Super surface phase gradient is stated with universality, visible light wave range is not only suitable for, is also applied for infrared band.
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Cited By (4)

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Publication number Priority date Publication date Assignee Title
CN113946009A (en) * 2021-10-27 2022-01-18 中国科学院光电技术研究所 Super-structure surface device and design and preparation method thereof
CN114112927A (en) * 2021-10-22 2022-03-01 深圳大学 OAM mode switcher
CN114719774A (en) * 2022-04-01 2022-07-08 浙江大学 Superstructure dispersion confocal-based complex curved surface morphology measurement method and system
CN114762191A (en) * 2022-03-07 2022-07-15 中国科学院光电技术研究所 Nonlinear geometric phase super surface based on high-order rotational symmetry unit

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CN105552556A (en) * 2015-12-28 2016-05-04 西安电子科技大学 Orbital angular momentum vortex wave beam generation apparatus and method

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CN105552556A (en) * 2015-12-28 2016-05-04 西安电子科技大学 Orbital angular momentum vortex wave beam generation apparatus and method

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Cited By (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN114112927A (en) * 2021-10-22 2022-03-01 深圳大学 OAM mode switcher
CN114112927B (en) * 2021-10-22 2023-11-14 深圳大学 OAM mode switcher
CN113946009A (en) * 2021-10-27 2022-01-18 中国科学院光电技术研究所 Super-structure surface device and design and preparation method thereof
CN113946009B (en) * 2021-10-27 2023-10-03 中国科学院光电技术研究所 Super-structured surface device and design and preparation method thereof
CN114762191A (en) * 2022-03-07 2022-07-15 中国科学院光电技术研究所 Nonlinear geometric phase super surface based on high-order rotational symmetry unit
WO2023168555A1 (en) * 2022-03-07 2023-09-14 中国科学院光电技术研究所 High-order rotational symmetry unit-based nonlinear geometric phase metasurface
CN114719774A (en) * 2022-04-01 2022-07-08 浙江大学 Superstructure dispersion confocal-based complex curved surface morphology measurement method and system

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