CN115047547B - Construction method of dual-frequency terahertz space wave control device - Google Patents

Construction method of dual-frequency terahertz space wave control device Download PDF

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CN115047547B
CN115047547B CN202210587010.4A CN202210587010A CN115047547B CN 115047547 B CN115047547 B CN 115047547B CN 202210587010 A CN202210587010 A CN 202210587010A CN 115047547 B CN115047547 B CN 115047547B
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李继涛
杨定宇
朱兴华
田海波
贾浩铎
唐鑫
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SICHUAN UNIVERSITY OF ARTS AND SCIENCE
Chengdu University of Information Technology
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    • G02B1/002Optical elements characterised by the material of which they are made; Optical coatings for optical elements made of materials engineered to provide properties not available in nature, e.g. metamaterials
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Abstract

The invention discloses a construction method of a dual-frequency terahertz space wave control device, which belongs to the technical field of metamaterial devices and terahertz, and comprises the following steps: constructing a super-surface cell based on the all-dielectric material; respectively constructing and obtaining a first super surface and a second super surface based on the super surface cell; space interweaving is carried out on the first super surface and the second super surface to obtain a third super surface, and the construction of the dual-frequency terahertz space wave control device is completed; the invention constructs the super-surface cell based on the broken and separated all-dielectric rectangular strip, and the cell structure axes working at different frequency points are orthogonal, so that the cell space, the geometric center and the size after interweaving are unchanged, the structure is compact, the crosstalk is weak, and the invention solves the problem that the wave front control of two terahertz frequency points is difficult to realize through one super-surface.

Description

Construction method of dual-frequency terahertz space wave control device
Technical Field
The invention belongs to the technical field of metamaterial devices and terahertz, and particularly relates to a construction method of a dual-frequency terahertz space wave control device.
Background
Optical supersurface is one of the important subjects of modern micro-nano photonics research, and can manipulate optical information in the spatial domain by controlling electromagnetic wave characteristics (including frequency, polarization, amplitude, and phase) and photon characteristics (such as orbital angular momentum and spin angular momentum) of light. Because of the special light manipulation characteristic, the optical super-surface has wide application prospect in the fields of information optics, quantum optics, imaging optics and the like, and has higher research value.
In recent years, space-interleaved supersurfaces have been proposed by optimizing structural design and spatial layout. Spatially interleaved supersurfaces may be considered a collection of two or more supersurfaces. The spatially interleaved hypersurface can retain the original function of the hypersurface prior to spatial interleaving and can also induce destructive or constructive interference to generate new functions; thus, spatially interleaved supersurfaces generally exhibit greater steering capabilities than ordinary supersurfaces in terms of polarization, phase, orbital angular momentum, spin angular momentum, and multiple physical properties of the waves. However, at present, the problems of insufficient cell integration and high crosstalk caused by performing wavefront control on two terahertz frequency points through one super surface and overlapping the interweaving super surface structures need to be solved.
Disclosure of Invention
Aiming at the defects in the prior art, the construction method of the dual-frequency terahertz space wave control device provided by the invention solves the problem that the wavefront control of two terahertz frequency points is difficult to realize through one super surface.
In order to achieve the aim of the invention, the invention adopts the following technical scheme:
the invention provides a construction method of a dual-frequency terahertz space wave control device, which comprises the following steps:
s1, constructing a super-surface cell based on an all-dielectric material;
s2, respectively constructing and obtaining a first super surface and a second super surface based on the super surface cell;
s3, space interweaving is conducted on the first super surface and the second super surface, a third super surface is obtained, and the construction of the dual-frequency terahertz space wave control device is completed.
The beneficial effects of the invention are as follows: the construction method of the dual-frequency terahertz space wave control device is based on the broken and separated all-dielectric rectangular strip construction super-surface cell, and cell structure axes working at different frequency points are orthogonal, so that the cell space, the geometric center and the size after interleaving are unchanged, the structure is compact, crosstalk is weak, and the third super-surface constructed by the method can independently control the spatial light beam propagation properties of two terahertz frequencies, which cannot be realized by a common wave front control super-structure device, and the scheme has higher integration and wider application range compared with the existing wave front control super-structure device.
Further, the step S1 includes the steps of:
s11, constructing rectangular strip cells based on all-dielectric materials;
s12, respectively obtaining a first separation structure and a second separation structure by separating the rectangular strip cells by transverse fracture and longitudinal fracture;
s13, the first separation structure is orthogonal to the structure axis of the second separation structure, and the super-surface cell is obtained.
The beneficial effects of adopting the further scheme are as follows: the split full-medium rectangular strips are used as basic structures, and structural axes of two types of split structures working at different frequency points are orthogonal, so that the cell space and the geometric center obtained after interleaving are unchanged.
Further, the rectangular strip unit cell comprises the following structural parameters:
the substrate thickness h1 is 300 μm;
the height h2 of the dielectric column is 200 mu m;
the cell lattice constant P is 160 μm.
The beneficial effects of adopting the further scheme are as follows: the super-surface cells obtained through fracture separation are equivalent to rectangular strip cells, the structural parameters of the super-surface cells are consistent with the length and width of the whole rectangular strip, and the proper rectangular strip cell parameter design can ensure that the interwoven structure is free of overlapping, the structure is compact, and the inter-cell crosstalk is weak.
Further, the step S2 includes the steps of:
s21, respectively constructing a first cell group working at a first frequency and a second cell group working at a second frequency based on the super-surface cells;
s22, respectively constructing a first subsurface phase profile and a second subsurface phase profile:
Figure BDA0003663791780000031
Figure BDA0003663791780000032
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0003663791780000033
and->
Figure BDA0003663791780000034
Representing a first and a second subsurface phase profile, lambda, respectively 1 And lambda (lambda) 2 Respectively the first frequency and the second frequency, x 1 And y 1 Respectively representing an abscissa point and an ordinate point of the first super surface, x 0 And y 0 Representing the abscissa and ordinate, x, respectively, of the projection of the spatial beam focus on the first hypersurface 2 And y 2 Respectively representing an abscissa point and an ordinate point of the second super surface, x' 0 And y' 0 Representing the abscissa and ordinate, f, respectively, of the projection of the spatial beam focus on the second hypersurface 1 And f 2 Representing the focal length of the spatial beam focus of the first subsurface and the focal length of the spatial beam focus of the second subsurface, respectively, delta representing the azimuth angle;
s23, constructing a first super-surface according to the first super-surface phase profile by using the first unit cell group;
s24, constructing a second subsurface according to the second subsurface phase profile by using the second cell group.
The beneficial effects of adopting the further scheme are as follows: the method comprises the steps of respectively setting a first metacell group and a second metacell group according to different working frequencies by using the metasurface cells, respectively constructing a first metasurface and a second metasurface by the first metacell group and the second metacell group, and providing a foundation for constructing a third metasurface capable of realizing double-frequency terahertz wave front control.
Further, the first cell group and the second cell group each comprise a consistent number of metasurface cells; the relative phase shift coverage of the metasurface cells in the first cell group is 0-2 pi; the relative phase shift coverage of the super surface cells in the second cell group is 0-2 pi.
The beneficial effects of adopting the further scheme are as follows: the relative phase shift of a group of unit cells working at the same frequency point covers 0-2 pi, and the structural axes are consistent; but the structural axes of two groups of cells with different working frequencies are orthogonal, so that the cell space and the geometric center after interleaving are unchanged.
Drawings
Fig. 1 is a flowchart of steps of a method for constructing a dual-frequency terahertz spatial wave manipulation device according to an embodiment of the present invention.
FIG. 2 is a schematic diagram of a super-surface cell constructed based on an all-dielectric material in accordance with an embodiment of the present invention.
FIG. 3 is a schematic diagram of a third subsurface obtained by spatially interleaving a first subsurface with a second subsurface in an embodiment of the present invention.
Fig. 4 is a functional schematic of a spatial interleaving superscalar surface in accordance with an embodiment of the present invention.
Fig. 5 (a) is a schematic diagram of two super-surface space-interleaving operation at different frequency points in an embodiment of the present invention.
FIG. 5 (b) is a diagram of an actual sample and a scanning electron microscope of a spatially interleaved subsurface according to an embodiment of the present invention.
Fig. 5 (c) is a schematic diagram of a first result of simulation and experimental test of a dual-frequency terahertz spatial wave manipulation device according to an embodiment of the present invention;
fig. 5 (d) is a schematic diagram of a second result of simulation and experimental test of the dual-frequency terahertz spatial wave manipulation device according to an embodiment of the present invention;
fig. 5 (e) is a schematic diagram of a third result of simulation and experimental test of a dual-frequency terahertz spatial wave manipulation device according to an embodiment of the present invention;
fig. 5 (f) is a schematic diagram of a fourth result of simulation and experimental test of a dual-frequency terahertz spatial wave manipulation device according to an embodiment of the present invention;
Detailed Description
The following description of the embodiments of the present invention is provided to facilitate understanding of the present invention by those skilled in the art, but it should be understood that the present invention is not limited to the scope of the embodiments, and all the inventions which make use of the inventive concept are protected by the spirit and scope of the present invention as defined and defined in the appended claims to those skilled in the art.
Example 1
As shown in fig. 1, in one embodiment of the present invention, the present invention provides a method for constructing a dual-frequency terahertz spatial wave manipulation device, including the steps of:
s1, constructing a super-surface cell based on an all-dielectric material;
the step S1 includes the steps of:
s11, constructing rectangular strip cells based on all-dielectric materials;
s12, respectively obtaining a first separation structure and a second separation structure by separating the rectangular strip cells by transverse fracture and longitudinal fracture;
s13, orthogonalizing a structure axis of the first separation structure and a structure axis of the second separation structure to obtain a super-surface cell;
the rectangular strip unit cell comprises the following structural parameters:
the substrate thickness h1 is 300 μm;
the height h2 of the dielectric column is 200 mu m;
the cell lattice constant P is 160 μm;
s2, respectively constructing and obtaining a first super surface and a second super surface based on the super surface cell;
the step S2 includes the steps of:
s21, respectively constructing a first cell group working at a first frequency and a second cell group working at a second frequency based on the super-surface cells;
s22, respectively constructing a first subsurface phase profile and a second subsurface phase profile:
Figure BDA0003663791780000061
Figure BDA0003663791780000062
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0003663791780000063
and->
Figure BDA0003663791780000064
Representing a first and a second subsurface phase profile, lambda, respectively 1 And lambda (lambda) 2 Respectively the first frequency and the second frequency, x 1 And y 1 Respectively representing an abscissa point and an ordinate point of the first super surface, x 0 And y 0 Representing the abscissa and ordinate, x, respectively, of the projection of the spatial beam focus on the first hypersurface 2 And y 2 Respectively representing an abscissa point and an ordinate point of the second super surface, x' 0 And y' 0 Representing the abscissa and ordinate, f, respectively, of the projection of the spatial beam focus on the second hypersurface 1 And f 2 Representing the focal length of the spatial beam focus of the first subsurface and the focal length of the spatial beam focus of the second subsurface, respectively, delta representing the azimuth angle;
s23, constructing a first super-surface according to the first super-surface phase profile by using the first unit cell group;
s24, constructing a second super-surface according to the phase profile of the second super-surface by using the second cell group;
the first metacell group and the second metacell group both comprise a consistent number of super surface cells; the relative phase shift coverage of the metasurface cells in the first cell group is 0-2 pi; the relative phase shift coverage of the super surface cells in the second cell group is 0-2 pi;
s3, space interweaving is conducted on the first super surface and the second super surface, a third super surface is obtained, and the construction of the dual-frequency terahertz space wave control device is completed.
The construction method of the dual-frequency terahertz space wave control device is based on the broken and separated all-dielectric rectangular strip construction super-surface cell, and cell structure axes working at different frequency points are orthogonal, so that the cell space, the geometric center and the size after interleaving are unchanged, the structure is compact, crosstalk is weak, and the third super-surface constructed by the method can independently control the spatial light beam propagation properties of two terahertz frequencies, which cannot be realized by a common wave front control super-structure device, and the scheme has higher integration and wider application range compared with the existing wave front control super-structure device.
Example 2
In one practical example of the invention, the invention uses high-resistance silicon all-dielectric material with resistivity of 0.03S/m and dielectric constant of 11.9 to construct rectangular strip cells;
as shown in fig. 2, the thickness h1=300 μm of the rectangular strip cell substrate, the height of the dielectric column is h2=200 μm, the lattice constant of the cell is p=160 μm, and the first separation structure and the second separation structure are respectively obtained by separating the rectangular strip cell by transverse fracture and longitudinal fracture; and (3) orthogonalizing the structure axes of the first separation structure and the second separation structure to obtain the super-surface cell.
Respectively constructing a first metacell group working at 0.8THz and a second metacell group working at 1THz based on the super surface metacells; the number of each group of the super-surface cells is six, and the relative phase shift of the six super-surface cells working at the same frequency point covers 0-2 pi; but the structural axes of the two sets of cells are orthogonal, wherein the structural axes of the set of cells operating at 0.8THz are oriented in the Y direction in the spatial coordinate system and the structural axes of the cells operating at 1THz are oriented in the X direction in the spatial coordinate system; and as the super-surface cells are constructed by breaking and separating rectangular strip cells, the super-surface cells are equivalent to the complete rectangular strip cells, and the structural parameters of the super-surface cells are consistent with the length parameters l and the width parameters W of the single complete rectangular strip cells, as shown in the table 1:
TABLE 1
Figure BDA0003663791780000071
As shown in fig. 3, a first and a second subsurface phase profile are constructed, respectively:
Figure BDA0003663791780000081
Figure BDA0003663791780000082
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure BDA0003663791780000083
and->
Figure BDA0003663791780000084
Representing a first and a second subsurface phase profile, lambda, respectively 1 And lambda (lambda) 2 Respectively the first frequency and the second frequency, x 1 And y 1 Respectively representing an abscissa point and an ordinate point of the first super surface, x 0 And y 0 Representing the abscissa and ordinate, x, respectively, of the projection of the spatial beam focus on the first hypersurface 2 And y 2 Respectively representing an abscissa point and an ordinate point of the second super surface, x' 0 And y' 0 Representing the abscissa and ordinate, f, respectively, of the projection of the spatial beam focus on the second hypersurface 1 And f 2 Representing the focal length of the spatial beam focus of the first subsurface and the focal length of the spatial beam focus of the second subsurface, respectively, delta representing the azimuth angle;
the phase profile of the super surface working at 0.8THz is a first super surface phase profile, the phase profile of the super surface working at 1THz is a second super surface phase profile, a first super surface is constructed according to the first super surface phase profile by using a first metacell group, and a second super surface is constructed according to the second super surface phase profile by using a second metacell group;
the phases of the first super surface and the second super surface respectively represent a vortex focusing function with an azimuth delta and a topological charge of 2 and a pure focusing function;
space interweaving the first super surface and the second super surface to obtain a third super surface, wherein the structural axis of the super surface cell group working at 0.8THz is oriented along the Y direction in a space coordinate system, and the structural axis of the cell group working at 1THz is oriented along the X direction in the space coordinate system; the cell space after interleaving is unchanged, the geometric center is unchanged, and the structure is not overlapped, as shown in figure 3;
as shown in fig. 4, the third super surface obtained after the first super surface and the second super surface are interwoven may work at two frequency points, and the focal lengths and focal points of the two frequency points are different; a super surface operating at f2=0.8 THz exhibits a vortex focus aperture with a topology charge of 2 at the central dark point; the super surface operating at f1=1 THz exhibits a purely focused spot;
as shown in fig. 5 (a) and 5 (b), for the experimental sample interleaving procedure and result display, the subsurface simulation for 0.8THz monitoring and experimental results are shown in fig. 5 (c) and 5 (d), a focus aperture with a central dark spot can be observed, the topology load is 2, and the result is consistent with the expectation. The simulation and experimental results of the super-surface for 1THz monitoring are shown in fig. 5 (e) and 5 (f), a pure focusing light spot can be observed, the result is consistent with the expectation, and the experimental and simulation results show that the super-surface successfully realizes the wave front control of two terahertz frequency points.
The cells used in the invention are based on broken and separated full-medium rectangular strips, each super-surface cell is formed by ingenious space interleaving of two cell classification structures working at different frequencies, the geometrical centers of cells before interleaving are reserved by the super-surface cells obtained after interleaving, the cell size is unchanged, the structure is compact, and crosstalk is weak; the dual-frequency terahertz space wave control device constructed according to the method can independently control the propagation properties of space light beams with two terahertz frequencies, which cannot be realized by a common wave front control super-structure device, has higher integration and wider application range, and opens up a new way for space terahertz wave control.

Claims (3)

1. The construction method of the dual-frequency terahertz space wave control device is characterized by comprising the following steps of:
s1, constructing a super-surface cell based on an all-dielectric material;
the step S1 includes the steps of:
s11, constructing rectangular strip cells based on all-dielectric materials;
s12, respectively obtaining a first separation structure and a second separation structure by separating the rectangular strip cells by transverse fracture and longitudinal fracture;
s13, orthogonalizing a structure axis of the first separation structure and a structure axis of the second separation structure to obtain a super-surface cell;
s2, respectively constructing and obtaining a first super surface and a second super surface based on the super surface cell;
the step S2 includes the steps of:
s21, respectively constructing a first cell group working at a first frequency and a second cell group working at a second frequency based on the super-surface cells;
s22, respectively constructing a first subsurface phase profile and a second subsurface phase profile:
Figure FDA0004175298020000011
Figure FDA0004175298020000012
wherein, the liquid crystal display device comprises a liquid crystal display device,
Figure FDA0004175298020000013
and->
Figure FDA0004175298020000014
Representing a first and a second subsurface phase profile, lambda, respectively 1 And lambda (lambda) 2 Respectively represent the first frequenciesAnd a second frequency, x 1 And y 1 Respectively representing an abscissa point and an ordinate point of the first super surface, x 0 And y 0 Representing the abscissa and ordinate, x, respectively, of the projection of the spatial beam focus on the first hypersurface 2 And y 2 Respectively representing an abscissa point and an ordinate point of the second super surface, x' 0 And y' 0 Representing the abscissa and ordinate, f, respectively, of the projection of the spatial beam focus on the second hypersurface 1 And f 2 Representing the focal length of the spatial beam focus of the first subsurface and the focal length of the spatial beam focus of the second subsurface, respectively, delta representing the azimuth angle;
s23, constructing a first super-surface according to the first super-surface phase profile by using the first unit cell group;
s24, constructing a second super-surface according to the phase profile of the second super-surface by using the second cell group;
s3, space interweaving is conducted on the first super surface and the second super surface, a third super surface is obtained, and the construction of the dual-frequency terahertz space wave control device is completed.
2. The method for constructing a dual-frequency terahertz spatial wave manipulation device according to claim 1, wherein the rectangular strip cells include the following structural parameters:
the substrate thickness h1 is 300 μm;
the height h2 of the dielectric column is 200 mu m;
the cell lattice constant P is 160 μm.
3. The method for constructing a dual-frequency terahertz spatial wave manipulation device according to claim 1, wherein the first and second cell groups each include a uniform number of super-surface cell units; the relative phase shift coverage of the metasurface cells in the first cell group is 0-2 pi; the relative phase shift coverage of the super surface cells in the second cell group is 0-2 pi.
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