CN211426847U - Negative refractive index waveguide fast optical device based on Dirac-like point - Google Patents

Negative refractive index waveguide fast optical device based on Dirac-like point Download PDF

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CN211426847U
CN211426847U CN201922107683.1U CN201922107683U CN211426847U CN 211426847 U CN211426847 U CN 211426847U CN 201922107683 U CN201922107683 U CN 201922107683U CN 211426847 U CN211426847 U CN 211426847U
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refractive index
negative refractive
boundary
dirac
index waveguide
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卓立强
赵泽阳
何真
邱伟彬
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Huaqiao University
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Abstract

A kind of waveguide fast optical device of negative refractive index based on Dirac-like point, including having upper cladding and lower cladding of the negative refractive index that is set up multiple triangular lattice photonic crystals on the silicon slab; the core layer which is arranged between the upper cladding layer and the lower cladding layer and consists of silicon as a medium is further included; and the upper boundary, the lower boundary, the left boundary and the right boundary of the upper cladding and the lower cladding are scattering boundary conditions, and incident light enters from one side of the core layer and exits from the other side of the core layer. The utility model discloses utilize near class dirac point frequency can make photonic crystal's effective refractive index be the characteristics of burden, through the frequency and the sandwich layer thickness of control incident light, realize the negative refractive index of covering to make light have negative crowd's speed in the sandwich layer, and the action of counterpropagation.

Description

Negative refractive index waveguide fast optical device based on Dirac-like point
Technical Field
The utility model relates to a micro-structure photonic crystal component, in particular to negative refractive index waveguide fast optical device based on class dirac point.
Background
The photonic crystal is an artificially synthesized material with different media periodically distributed in space, and as the lattice constant and the working wavelength of the photonic crystal are on an order of magnitude, the photonic crystal-based fast optical device is easier to realize high integration and adapts to the development trend of photoelectric integration.
Waveguide devices play an important role in optical communication systems, and are essential to avoid loss caused by absorption and scattering of a medium and divergence caused by diffraction when a light beam is transmitted in the medium, so that the intensity of the central part of the light beam is continuously attenuated, and to ensure that the energy of the light beam is limited in the longitudinal direction during propagation, so that the light beam can be transmitted in a concentrated manner in a core layer, and loss and noise are minimized. Currently, negative index waveguides can be constructed from the effective dielectric constanteffAnd effective permeability mueffConstructed of negative left-handed materials (LHMs) (Taya S A, Qadoura I M. guided modes in slab ways with negative index binding and substrate [ J]optical-International Journal for Light and electronic Optics,2013,124(13): 1431-1436), and the negative index waveguide can achieve anomalous dispersion phenomena, which in turn leads to fast Light phenomena (i.e. negative group velocity) (Zhang Y, Zhang X, Wang Y, et al. reversible Fano restriction by transmittance from fast Light to slow Light in a coupled-restricted-transmitted structure [ J]Opticsexpress,2013,21(7): 8570-. In recent years, light pulses can be realized by controlling the group velocity of fast light (Lezama A, Akulshin A M, Sidorov A I, et al]Physical Review A,2006,73(3):033806.), and propagation of entangled state quantum mutual information (Clark J B, glass R T, glass Q, et]Nature Photonics,2014,8(7): 515), and the like. But due to the effective dielectric constant of the materialeffAnd effective permeability mueffIn general, the negative refractive index waveguide is a specific value, so that the function of the negative refractive index waveguide is limited, and the negative refractive index waveguide is not convenient in practical application.
SUMMERY OF THE UTILITY MODEL
The utility model discloses an above-mentioned defect among the prior art is overcome to main aim at, provides a negative refractive index waveguide fast optical device based on kind dirac point, through the frequency of control incident light, realizes anomalous dispersion phenomenon and the back propagation of light.
The utility model adopts the following technical scheme:
the utility model relates to a waveguide fast optical device with negative refractive index based on Dirac-like point, which comprises an upper cladding and a lower cladding which are composed of a plurality of triangular lattice photonic crystals arranged on a silicon plate and have negative refractive index; the core layer which is arranged between the upper cladding layer and the lower cladding layer and consists of silicon as a medium is further included; and the upper boundary, the lower boundary, the left boundary and the right boundary of the upper cladding and the lower cladding are scattering boundary conditions, and incident light enters from one side of the core layer and exits from the other side of the core layer.
Preferably, the triangular lattice photonic crystal is a hollow air dielectric column, and a triangular lattice core-shell photonic crystal structure is formed.
Preferably, the hollow air dielectric columns are periodically distributed in the silicon dielectric.
Preferably, the width of the negative refractive index waveguide fast optical device can be increased or decreased on the premise of keeping the photonic crystal structure and the boundary condition unchanged, namely, the number of the air dielectric columns can be increased or decreased.
From the above description of the present invention, compared with the prior art, the present invention has the following advantages:
the waveguide fast light device of the utility model comprises an upper cladding and a lower cladding which are composed of a plurality of triangular lattice core-shell photonic crystals arranged on a silicon plate and have negative refractive index; the core layer which is arranged between the upper cladding layer and the lower cladding layer and consists of silicon as a medium is further included; by controlling the frequency of the incident light, the effective dielectric constant around the Dirac-like point frequency is usedeffAnd effective permeability mueffLinear with the incident light frequency, so that light has a negative group velocity in the core layer, and anomalous dispersion and backward propagation of light are achieved.
Drawings
Fig. 1 is a structure diagram of a dike-like point-based negative refractive index waveguide fast optical device of the present invention;
FIG. 2 is a diagram of the band structure of a triangular lattice core-shell photonic crystal of the present invention;
fig. 3 is a light field profile of three degenerate modes at dirac-like points of the present invention;
FIG. 4 shows the effective dielectric constant of a triangular lattice core-shell photonic crystal of the present inventioneffAnd effective permeability mueff
Fig. 5 is a simulation result diagram of the negative refractive index waveguide fast optical device of the present invention.
Detailed Description
The present invention will be further described with reference to the following detailed description.
Referring to fig. 1, the present invention relates to a dirac-like point-based negative refractive index waveguide fast light device, which includes an upper cladding 30 and a lower cladding 40 with negative refractive index, which are composed of a plurality of triangular lattice photonic crystals 20 disposed on a silicon plate 10; the silicon-based composite material further comprises a core layer 50 which is arranged between the upper cladding layer and the lower cladding layer and is composed of silicon as a medium; the upper, lower, left, and right boundaries of the upper and lower claddings 30 and 40 are scattering boundary conditions, and incident light enters from one side of the core layer 50 and exits from the other side of the core layer 50.
The triangular lattice photonic crystal 20 is a hollow air dielectric column, and forms a triangular lattice core-shell photonic crystal structure.
The hollow air dielectric columns are periodically distributed in the silicon dielectric.
The width of the negative refractive index waveguide fast optical device can be increased or reduced on the premise of keeping the photonic crystal structure and the boundary condition unchanged, namely the number of the air dielectric columns can be increased or reduced.
The utility model also discloses a design method of above-mentioned negative refractive index waveguide fast optical device, including following step:
s101, constructing a triangular lattice core-shell (core-shell) photonic crystal (air dielectric columns are periodically distributed in silicon) model by utilizing Comsol Multiphysics based on a finite element method, setting Floquet periodic boundary conditions for the boundary of an original cell (photonic crystal minimum periodic unit), applying an electromagnetic field of a TE mode, and obtaining an energy band structure of the boundary of a region surrounded by high symmetry points (M-K-M) in Brillouin Zone (Brillouin Zone), namely finally calculating the energy band structure of the triangular lattice core-shell (core-shell) photonic crystal (air dielectric columns are periodically distributed in silicon);
s102, adjusting the duty ratio f of an air medium column in the triangular lattice core-shell photonic crystal (the duty ratio f of the air medium column is (r1-r2)/a, r1 represents the outer radius of the air medium column, r2 represents the inner radius of the air medium column, and a represents a lattice constant), and realizing a Dirichlet-like point at the center of the Brillouin zone; as shown in fig. 2, when the lattice constant a is 1um, the outer radius r1 of the dielectric shell column is 0.42a, and the outer radius r2 of the dielectric shell column is 0.1781a, a dirac-like point appears at the center of the brillouin zone, and the frequency thereof is 171.85THz (-1.7457 um), and (a) - (c) in fig. 3 are the optical field distributions of three degenerate modes at the dirac-like point;
s103, calculating the effective dielectric constant by using the data derived by calculating the energy bandeffAnd effective permeability mueffThe following are:
Figure BDA0002296771350000041
Figure BDA0002296771350000042
wherein the content of the first and second substances,effrepresents the effective dielectric constant of the photonic crystal; mu.seffRepresents the effective permeability of the photonic crystal; k is a radical ofyA y component representing a wave vector; ω represents angular frequency;0represents the vacuum dielectric constant; mu.s0Represents the vacuum permeability; exRepresents the average value of the intrinsic electric field along the x-axis direction; hzRepresents the average value of the intrinsic magnetic field in the z-axis direction.
Effective dielectric constanteffAnd effective permeability mueffThe calculation results of (2) are shown in fig. 4.
S104, constructing an upper cladding and a lower cladding of the triangular lattice photonic crystal on a silicon plate according to the duty ratio f of the air medium column of the Dirac-like point, reserving a core layer with a preset thickness in the middle of the silicon plate, wherein the upper boundary, the lower boundary, the left boundary and the right boundary of the upper cladding and the lower cladding are scattering boundary conditions, and incident light enters from one side of the core layer and exits from the other side of the core layer. The width of the negative refractive index waveguide fast optical device can be increased or decreased on the premise of keeping the photonic crystal structure and the boundary condition unchanged, namely the number of the air dielectric columns can be increased or decreased, and the designed negative refractive index waveguide is shown in FIG. 1;
and S105, simulating the constructed photonic crystal negative refractive index waveguide through software, and performing simulation analysis on the photonic crystal negative refractive index waveguide by adopting a finite element numerical method to obtain a simulation result of the designed negative refractive index waveguide fast optical device. Referring to fig. 5, (a) is incident light having a frequency of 154THz, which is incident from a core layer having a thickness d of 4.5 μm, when the refractive indices of the upper and lower clad layers are negative, light has a negative group velocity in the core layer, and travels in the reverse direction; (b) incident light having a frequency of 176THz is incident on the core layer having a thickness d of 2.5 μm, and the refractive indices of the upper and lower clad layers are positive, so that light propagates in the core layer in the forward direction.
The above-mentioned be the utility model discloses a concrete implementation way, nevertheless the utility model discloses a design concept is not limited to this, and the ordinary use of this design is right the utility model discloses carry out immaterial change, all should belong to the act of infringement the protection scope of the utility model.

Claims (4)

1. A negative refractive index waveguide fast optical device based on Dirac-like points is characterized in that: comprises an upper cladding and a lower cladding with negative refractive index composed of a plurality of triangular lattice photonic crystals arranged on a silicon plate; the core layer which is arranged between the upper cladding layer and the lower cladding layer and consists of silicon as a medium is further included; and the upper boundary, the lower boundary, the left boundary and the right boundary of the upper cladding and the lower cladding are scattering boundary conditions, and incident light enters from one side of the core layer and exits from the other side of the core layer.
2. The dirac-like point based negative refractive index waveguide fast light device of claim 1, wherein the triangular lattice photonic crystal is a hollow air dielectric cylinder, forming a triangular lattice core-shell photonic crystal structure.
3. The dirac-like point-based negative refractive index waveguide fast light device of claim 2, wherein the hollow air dielectric pillars are periodically distributed in a silicon medium.
4. The dirac-like point based negative refractive index waveguide fast optical device according to claim 2, wherein the width of the negative refractive index waveguide fast optical device can be increased or decreased, i.e. the number of the air dielectric pillars can be increased or decreased, while the photonic crystal structure and boundary conditions are kept unchanged.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110749954A (en) * 2019-11-29 2020-02-04 华侨大学 Dirac-like point-based negative-refractive-index waveguide fast optical device and design method

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN110749954A (en) * 2019-11-29 2020-02-04 华侨大学 Dirac-like point-based negative-refractive-index waveguide fast optical device and design method
CN110749954B (en) * 2019-11-29 2024-03-29 华侨大学 Negative refractive index waveguide fast-light device based on Dirac-like point and design method

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