CN104252019A - Two-dimensional combined type photonic crystal and application thereof - Google Patents
Two-dimensional combined type photonic crystal and application thereof Download PDFInfo
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- CN104252019A CN104252019A CN201410547098.2A CN201410547098A CN104252019A CN 104252019 A CN104252019 A CN 104252019A CN 201410547098 A CN201410547098 A CN 201410547098A CN 104252019 A CN104252019 A CN 104252019A
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Abstract
The invention relates to a two-dimensional combined type photonic crystal. The lattice constant a of a triangular-lattice photonic crystal is 1, and the radius of cross section of an air column is 0.25a. The lattice constant a of a square-lattice photonic crystal is 0.6, and the radius of the cross section of an air column is 0.21 a. One rectangular air defect is introduced into the square-lattice photonic crystal, and the other rectangular air defect for realizing that light beams deflect by 30 degrees, 60 degrees, 150 degrees and 210 degrees is introduced into the triangular-lattice photonic crystal. The relationship between the lattice constant of the triangular-lattice photonic crystal and the lattice constant of the square-lattice photonic crystal is adjusted, so that the novel two-dimensional combined type photonic crystal is formed, and the auto-collimating transmission of the light beams in the triangular-lattice photonic crystal and the square-lattice photonic crystal is simultaneously realized. The two-dimensional combined type photonic crystal realizes that the beams deflect by 30 degrees, 60 degrees, 150 degrees and 210 degrees in the auto-collimation direction, a new way is provided for research on the light guide direction of the photonic crystal, and light transmission is better controlled.
Description
Technical field
The present invention relates to a kind of two-dimensional combination type photonic crystal and application thereof, belong to the technical field of information optics photonic crystal.
Background technology
1987, the people such as Yablonovitch proposed photonic crystal concept, and photonic crystal refers to the periodic dielectric structures with photon band gap, and the light that frequency drops in photon band gap can not be propagated.In recent years, except photon band gap characteristic, anomalous dispersion characteristic also attracts attention gradually, comprising self-collimation characteristic.
In 1999, the people such as Kosaka have found auto-collimation effect in the photonic crystal, are different from real optical waveguide, namely when not introducing photon crystal linear defect, for certain lattice, the autocollimator beam of characteristic frequency can be propagated along specific direction in photonic crystal inside on salt free ligands ground.In photonic crystal, the direction of propagation of light is determined by the direction of group velocity, and the direction of group velocity is always perpendicular to equifrequency line EFC.If the equifrequency line of characteristic frequency is straight line, light will linearly be propagated, and form empty waveguide.In certain ranges of incidence angles, light can be coupled into photonic crystal and form autocollimation transmission.2003, the people such as yu by experiment, utilize the self-collimation characteristic of photonic crystal, achieve turning to and beam splitting of light beam 90 °, this demonstrate that when not carrying out special processing to photonic crystal, not introducing point defect or line defect, the light beam being in autocollimation frequency can be propagated along specific direction, just look like controlled by real optical waveguide, also can reach the object controlling beam propagation.This greatly reduces the complexity of photonic device, to the great significance for design of integrated optical circuit.
But at present for the research of the autocollimator beam direction of propagation, mostly only for a kind of photonic crystal, after a rectangular air defect is introduced in autocollimation photonic crystal inside, outgoing beam is for incident beam, the direction of propagation is mostly only to realize the change of 60 ° or 90 °, and the deflection situation of guide-lighting angle is comparatively single.
Summary of the invention
For the deficiencies in the prior art, the invention discloses a kind of two-dimensional combination type photonic crystal;
The invention also discloses the application of above-mentioned two-dimensional combination type photonic crystal;
The present invention proposes a kind of two-dimensional combination photonic crystal based on photon crystal self-aligning characteristic, and the autocollimation frequency matching of dissimilar photonic crystal is got up by described two-dimensional combination photonic crystal.Described two-dimensional combination type photonic crystal is by connecting triangular crystal lattice photonic crystal and tetragonal photonic crystal, corresponding coupling is carried out to the autocollimation frequency of described triangular crystal lattice photonic crystal and described tetragonal photonic crystal, introduce rectangular air defect in position, the deflection of special angle of incident beam 30 °, 60 °, 150 ° and 210 ° can be realized along the incidence of autocollimation direction, research for photonic crystal light conducting direction provides a kind of new mode, controls the propagation of light better.
Technical scheme of the present invention is as follows:
A kind of two-dimensional combination type photonic crystal, comprise the first half photonic crystal and the latter half photonic crystal, described the first half photonic crystal connects described the latter half photonic crystal, described the first half photonic crystal is triangular crystal lattice photonic crystal, the primitive unit cell unit by triangular crystal lattice periodic arrangement that described triangular crystal lattice photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, described the latter half photonic crystal is tetragonal photonic crystal, the primitive unit cell unit by tetragonal periodic arrangement that described tetragonal photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, the material of described flat-platy base portion is silicon medium, the refractive index n of described silicon medium is 3.4, described primitive unit cell unit is cylinder shape medium post, described cylinder shape medium post is air column, described triangular crystal lattice photonic crystal lattice constant a is 1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal is 0.25a, described tetragonal photonic crystal lattice constant is 0.6a, the air column cross sectional radius r of described tetragonal photonic crystal is 0.21a, in described tetragonal photonic crystal, namely light beam autocollimation direction of propagation Γ M introduces a rectangular air defect along Γ X-direction in the horizontal direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described tetragonal photonic crystal, in described triangular crystal lattice photonic crystal, light beam autocollimation direction of propagation Γ M vertically introduces and realizes incident beam 30 °, 60 °, another rectangular air defect of 150 ° and 210 ° deflections, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.
Above-mentioned derivation is as follows:
Setting described triangular crystal lattice photonic crystal lattice constant is a
1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal is 0.25a
1.
The autocollimation frequency f of described triangular crystal lattice photonic crystal is 0.3c/a
1, described c is the light velocity of free space.
Use the light source of TE polarization, utilize plane wave expansion method to study the distribution of its equifrequency line, find that TE mould second can be with at frequency f=0.3c/a
1time, the shape of vertical of equifrequency line is in Γ M direction close to straight line, and illustrate that the incident beam of this frequency is when incident along Γ M direction perpendicular to equifrequency line, light beam autocollimation is propagated, then f=0.3c/a
1for the autocollimation frequency of described triangular crystal lattice photonic crystal.
Setting described tetragonal photonic crystal lattice constant is a
2, the air column cross sectional radius r of described tetragonal photonic crystal is 0.35a
2.
The autocollimation frequency f of described tetragonal photonic crystal is 0.18c/a
2, described c is the light velocity of free space.
Use the light source of TE polarization, utilize plane wave expansion method to study the distribution of its equifrequency line, find that TE mould first can be with at frequency f=0.18c/a
2time, the shape of vertical of equifrequency line is in Γ M direction close to straight line, and illustrate that the light beam of this frequency is when incident along Γ M direction perpendicular to equifrequency line, light beam autocollimation is propagated, then f=0.18c/a
2for the autocollimation frequency of described tetragonal photonic crystal.
Below the autocollimation frequency matching of described triangular crystal lattice photonic crystal and described tetragonal photonic crystal is got up.
Make frequency: 0.18c/a
2=0.3c/a
1
That is: a
2=0.6a
1
The grating constant making described triangular crystal lattice photonic crystal is a
1=1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal
1=0.25a
1, so described tetragonal photonic crystal lattice constant is a
2=0.6a
1, the air column cross sectional radius r of described tetragonal photonic crystal
2=0.35*0.6a
1=0.21a
1.
Preferred according to the present invention, described air column in described triangular crystal lattice photonic crystal is arranged in described flat-platy base portion according to 51 row × 21 row, described air column in described tetragonal photonic crystal is arranged in described flat-platy base portion according to 59 row × 40 row, described rectangular air defect is long is 24a, described rectangular air defect is wide is 4a, and the rectangular air defect in described tetragonal photonic crystal is identical with the rectangular air defect size in described triangular crystal lattice photonic crystal.
Rectangular air defect direction in described tetragonal photonic crystal remains unchanged, rectangular air defect is introduced along four kinds of different directions in described triangular crystal lattice photonic crystal, obtain four kinds of different combination photonic crystals, realize the deflection of light beam 30 °, 60 °, 150 ° and 210 ° respectively.
Preferred according to the present invention, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
Preferred according to the present invention, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
Preferred according to the present invention, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
Preferred according to the present invention, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
Above-mentioned along vector
the application of the two-dimensional combination type photonic crystal of rectangular air defect described in is introduced in direction, and concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the direction of propagation deflects 60 ° left, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 150 ° compared with incident beam.
Above-mentioned along vector
the application of the two-dimensional combination type photonic crystal of rectangular air defect described in is introduced in direction, and concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 60 ° to the right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 60 ° compared with incident beam.
Above-mentioned along vector
the application of the two-dimensional combination type photonic crystal of rectangular air defect described in is introduced in direction, and concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, transmission direction is constant, its autocollimation direction vertically, beam Propagation direction is constant, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to left down, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 210 ° compared with incident beam.
Above-mentioned along vector
the application of the two-dimensional combination type photonic crystal of rectangular air defect described in is introduced in direction, and concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to bottom right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 30 ° compared with incident beam.
Use the simulation of FDTD method by the transmission of the light beam of above-mentioned four kinds of photonic crystals, perfect domination set PML is all used in all simulations, frequency is that the line source of the TE polarization of 0.3c/a is incident on the left of tetragonal photonic crystal, simultaneously, two test surfaces are placed on entry port and exit ports, be respectively used to detection incident beam and outgoing beam, transmissivity is that emanated energy is divided by projectile energy.Found by transmission spectrum, for above-mentioned four kinds of two-dimensional combination type photon crystal structures, transmissivity all can reach about 80%.The transmission spectrum of above-mentioned four kinds of two-dimensional combination type photon crystal structures is shown in Figure 14, Figure 15, Figure 16 and Figure 17 respectively.Wherein said FDTD method is a kind of approximate solution method of Maxwell equation.Described FDTD method is that Maxwell equation is carried out differencing on Time and place field, the Electric and magnetic fields in space field is utilized to carry out interleaved computation, by the change imitating electromagnetic field of more newly arriving in time field, reaching the object of numerical evaluation, is one of method of the numerical simulation that use is many at present.
Beneficial effect of the present invention is:
1, the present invention adjusts relation between the grating constant of described triangular crystal lattice photonic crystal and described tetragonal photonic crystal lattice constant by the mode of autocollimation frequency matching, utilize above-mentioned relation that crystalline material parameter is set, triangular crystal lattice photonic crystal and tetragonal photonic crystal are connected to form new two-dimensional combination type photonic crystal, and light beam can realize simultaneously from the autocollimation transmission triangular crystal lattice photonic crystal and tetragonal photonic crystal;
2, the present invention introduces rectangular air defect in position, the deflection of special angle of light beam 30 °, 60 °, 150 ° and 210 ° can be realized along the incidence of autocollimation direction, research for photonic crystal light conducting direction provides a kind of new mode, controls the propagation of light better.
Accompanying drawing explanation
Fig. 1 is triangular crystal lattice photon crystal structure figure of the present invention;
Fig. 2 is that triangular crystal lattice photonic crystal TE mould second of the present invention can be with equifrequency line schematic diagram;
Fig. 3 is tetragonal photon crystal structure figure of the present invention;
Fig. 4 is that tetragonal photonic crystal TE mould first of the present invention can be with equifrequency line schematic diagram;
Fig. 5 is plane right-angle coordinate, and four vectors in figure are described vector respectively
direction, vector
direction, vector
direction, vector
direction;
Fig. 6 is that the present invention is along vector
the two-dimensional combination type photon crystal structure figure of rectangular air defect described in is introduced in direction;
Fig. 7 is Fig. 6 field pattern, and direction of beam propagation is pointed out by arrow;
Fig. 8 is that the present invention is along vector
the two-dimensional combination type photon crystal structure figure of rectangular air defect described in is introduced in direction;
Fig. 9 is Fig. 8 field pattern, and direction of beam propagation is pointed out by arrow;
Figure 10 is that the present invention is along vector
the two-dimensional combination type photon crystal structure figure of rectangular air defect described in is introduced in direction;
Figure 11 is Figure 10 field pattern, and direction of beam propagation is pointed out by arrow;
Figure 12 is that the present invention is along vector
the two-dimensional combination type photon crystal structure figure of rectangular air defect described in is introduced in direction;
Figure 13 is Figure 12 field pattern, and direction of beam propagation is pointed out by arrow;
Figure 14 is the transmission spectrum of two-dimensional combination type photonic crystal described in Fig. 6; Wherein, horizontal ordinate is frequency, and ordinate is transmissivity, and described transmissivity is emanated energy and the ratio of projectile energy;
Figure 15 is the transmission spectrum of two-dimensional combination type photonic crystal described in Fig. 8; Wherein, horizontal ordinate is frequency, and ordinate is transmissivity, and described transmissivity is emanated energy and the ratio of projectile energy;
Figure 16 is the transmission spectrum of two-dimensional combination type photonic crystal described in Figure 10; Wherein, horizontal ordinate is frequency, and ordinate is transmissivity, and described transmissivity is emanated energy and the ratio of projectile energy;
Figure 17 is the transmission spectrum of two-dimensional combination type photonic crystal described in Figure 12; Wherein, horizontal ordinate is frequency, and ordinate is transmissivity, and described transmissivity is emanated energy and the ratio of projectile energy.
Embodiment
Below in conjunction with Figure of description and embodiment, the present invention is further qualified, but is not limited thereto.
Embodiment 1
A kind of two-dimensional combination type photonic crystal, comprise the first half photonic crystal and the latter half photonic crystal, described the first half photonic crystal connects described the latter half photonic crystal, described the first half photonic crystal is triangular crystal lattice photonic crystal, the primitive unit cell unit by triangular crystal lattice periodic arrangement that described triangular crystal lattice photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, described the latter half photonic crystal is tetragonal photonic crystal, the primitive unit cell unit by tetragonal periodic arrangement that described tetragonal photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, the material of described flat-platy base portion is silicon medium, the refractive index n of described silicon medium is 3.4, described primitive unit cell unit is cylinder shape medium post, described cylinder shape medium post is air column, described triangular crystal lattice photonic crystal lattice constant a is 1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal is 0.25a, described tetragonal photonic crystal lattice constant is 0.6a, the air column cross sectional radius r of described tetragonal photonic crystal is 0.21a, in described tetragonal photonic crystal, namely light beam autocollimation direction of propagation Γ M introduces a rectangular air defect along Γ X-direction in the horizontal direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described tetragonal photonic crystal, in described triangular crystal lattice photonic crystal, light beam autocollimation direction of propagation Γ M vertically, along vector
rectangular air defect described in one is introduced in direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.
Above-mentioned derivation is as follows:
Setting described triangular crystal lattice photonic crystal lattice constant is a
1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal is 0.25a
1.
The autocollimation frequency f of described triangular crystal lattice photonic crystal is 0.3c/a
1, described c is the light velocity of free space.
Use the light source of TE polarization, utilize plane wave expansion method to study the distribution of its equifrequency line, find that TE mould second can be with at frequency f=0.3c/a
1time, the shape of vertical of equifrequency line is in Γ M direction close to straight line, and illustrate that the incident beam of this frequency is when incident along Γ M direction perpendicular to equifrequency line, light beam autocollimation is propagated, then f=0.3c/a
1for the autocollimation frequency of described triangular crystal lattice photonic crystal.
Setting described tetragonal photonic crystal lattice constant is a
2, the air column cross sectional radius r of described tetragonal photonic crystal is 0.35a
2.
The autocollimation frequency f of described tetragonal photonic crystal is 0.18c/a
2, described c is the light velocity of free space.
Use the light source of TE polarization, utilize plane wave expansion method to study the distribution of its equifrequency line, find that TE mould first can be with at frequency f=0.18c/a
2time, the shape of vertical of equifrequency line is in Γ M direction close to straight line, and illustrate that the light beam of this frequency is when incident along Γ M direction perpendicular to equifrequency line, light beam autocollimation is propagated, then f=0.18c/a
2for the autocollimation frequency of described tetragonal photonic crystal.
Below the autocollimation frequency matching of described triangular crystal lattice photonic crystal and described tetragonal photonic crystal is got up.
Make frequency: 0.18c/a
2=0.3c/a
1
That is: a
2=0.6a
1
The grating constant making described triangular crystal lattice photonic crystal is a
1=1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal
1=0.25a
1, so described tetragonal photonic crystal lattice constant is a
2=0.6a
1, the air column cross sectional radius r of described tetragonal photonic crystal
2=0.35*0.6a
1=0.21a
1.
Described air column in described triangular crystal lattice photonic crystal is arranged in described flat-platy base portion according to 51 row × 21 row, described air column in described tetragonal photonic crystal is arranged in described flat-platy base portion according to 59 row × 40 row, described rectangular air defect is long is 24a, described rectangular air defect is wide is 4a, and the rectangular air defect in described tetragonal photonic crystal is identical with the rectangular air defect size in described triangular crystal lattice photonic crystal.As shown in Figure 6.
Embodiment 2
A kind of two-dimensional combination type photonic crystal according to embodiment 1, its difference is, in described triangular crystal lattice photonic crystal, vertically, edge is vectorial for light beam autocollimation direction of propagation Γ M
rectangular air defect described in one is introduced in direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.As shown in Figure 8.
Embodiment 3
A kind of two-dimensional combination type photonic crystal according to embodiment 1, its difference is, in described triangular crystal lattice photonic crystal, vertically, edge is vectorial for light beam autocollimation direction of propagation Γ M
rectangular air defect described in one is introduced in direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.As shown in Figure 10.
Embodiment 4
A kind of two-dimensional combination type photonic crystal according to embodiment 1, its difference is, in described triangular crystal lattice photonic crystal, vertically, edge is vectorial for light beam autocollimation direction of propagation Γ M
rectangular air defect described in one is introduced in direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.As shown in figure 12.
Embodiment 5
The application of the two-dimensional combination type photonic crystal according to embodiment 1, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the direction of propagation deflects 60 ° left, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 150 ° compared with incident beam.As shown in Figure 7.
Embodiment 6
The application of the two-dimensional combination type photonic crystal according to embodiment 2, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 60 ° to the right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 60 ° compared with incident beam.As shown in Figure 9.
Embodiment 7
The application of the two-dimensional combination type photonic crystal according to embodiment 3, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, transmission direction is constant, its autocollimation direction vertically, beam Propagation direction is constant, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to left down, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 210 ° compared with incident beam.As shown in figure 11.
Embodiment 8
The application of the two-dimensional combination type photonic crystal according to embodiment 4, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to bottom right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 30 ° compared with incident beam.As shown in figure 13.
Claims (10)
1. a two-dimensional combination type photonic crystal, it is characterized in that, comprise the first half photonic crystal and the latter half photonic crystal, described the first half photonic crystal connects described the latter half photonic crystal, described the first half photonic crystal is triangular crystal lattice photonic crystal, the primitive unit cell unit by triangular crystal lattice periodic arrangement that described triangular crystal lattice photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, described the latter half photonic crystal is tetragonal photonic crystal, the primitive unit cell unit by tetragonal periodic arrangement that described tetragonal photonic crystal comprises flat-platy base portion and arranges in described flat-platy base portion, the material of described flat-platy base portion is silicon medium, the refractive index n of described silicon medium is 3.4, described primitive unit cell unit is cylinder shape medium post, described cylinder shape medium post is air column, described triangular crystal lattice photonic crystal lattice constant a is 1, the air column cross sectional radius r of described triangular crystal lattice photonic crystal is 0.25a, described tetragonal photonic crystal lattice constant is 0.6a, the air column cross sectional radius r of described tetragonal photonic crystal is 0.21a, in described tetragonal photonic crystal, namely light beam autocollimation direction of propagation Γ M introduces a rectangular air defect along Γ X-direction in the horizontal direction, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described tetragonal photonic crystal, in described triangular crystal lattice photonic crystal, light beam autocollimation direction of propagation Γ M vertically introduces and realizes incident beam 30 °, 60 °, another rectangular air defect of 150 ° and 210 ° deflections, the shape of vertical of the equifrequency line in described light beam autocollimation direction of propagation Γ M and described triangular crystal lattice photonic crystal.
2. a kind of two-dimensional combination type photonic crystal according to claim 1, it is characterized in that, described air column in described triangular crystal lattice photonic crystal is arranged in described flat-platy base portion according to 51 row × 21 row, described air column in described tetragonal photonic crystal is arranged in described flat-platy base portion according to 59 row × 40 row, described rectangular air defect is long is 24a, described rectangular air defect is wide is 4a, and the rectangular air defect in described tetragonal photonic crystal is identical with the rectangular air defect size in described triangular crystal lattice photonic crystal.
3. a kind of two-dimensional combination type photonic crystal according to claim 1, is characterized in that, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
4. a kind of two-dimensional combination type photonic crystal according to claim 1, is characterized in that, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
5. a kind of two-dimensional combination type photonic crystal according to claim 1, is characterized in that, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
6. a kind of two-dimensional combination type photonic crystal according to claim 1, is characterized in that, in described triangular crystal lattice photonic crystal, along vector
rectangular air defect described in one is introduced in direction.
7. the application of two-dimensional combination type photonic crystal according to claim 3, it is characterized in that, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the direction of propagation deflects 60 ° left, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 150 ° compared with incident beam.
8. the application of two-dimensional combination type photonic crystal according to claim 4, it is characterized in that, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 60 ° to the right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 60 ° compared with incident beam.
9. the application of two-dimensional combination type photonic crystal according to claim 5, it is characterized in that, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, transmission direction is constant, its autocollimation direction vertically, beam Propagation direction is constant, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to left down, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 210 ° compared with incident beam.
10. the application of two-dimensional combination type photonic crystal according to claim 6, it is characterized in that, concrete steps comprise:
(1) use the transmission of FDTD method simulation light beam, frequency is that the incident beam that the line source of the TE polarization of 0.3c/a sends is incident from described tetragonal photonic crystal left vertical;
(2) incident beam enters described tetragonal photonic crystal, propagate along its autocollimation direction of propagation and horizontal direction, after running into the rectangular air defect of described tetragonal photonic crystal, the direction of propagation deflects 45 °, then described triangular crystal lattice photonic crystal is vertically spread into, its autocollimation direction vertically, beam Propagation direction is constant, continue vertically to propagate, after running into the rectangular air defect of described triangular crystal lattice photonic crystal, the outgoing beam direction of propagation deflects 120 ° to bottom right, the direction of incident beam in the horizontal direction, outgoing beam direction is deflection 30 ° compared with incident beam.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109933917A (en) * | 2019-03-18 | 2019-06-25 | 杭州电子科技大学 | The molding research method of three-D photon crystal inner spherical defect quantitative |
| CN110673335A (en) * | 2019-09-01 | 2020-01-10 | 复旦大学 | Photonic crystal light splitting device and design method thereof |
| CN111164477A (en) * | 2017-08-24 | 2020-05-15 | 国立大学法人横滨国立大学 | Light deflection device |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202916550U (en) * | 2012-11-30 | 2013-05-01 | 上海理工大学 | Two dimensional photonic crystal light intensity modulator based on auto-collimation effect |
| CN103675993A (en) * | 2013-12-31 | 2014-03-26 | 中国科学院半导体研究所 | Integratable light quantum walking device based on photonic crystal auto-collimation effect |
| CN203839486U (en) * | 2014-05-28 | 2014-09-17 | 淮阴师范学院 | Frequency-adjustable 90-degree bender and beam splitter based on auto-collimation effect |
-
2014
- 2014-10-15 CN CN201410547098.2A patent/CN104252019B/en not_active Expired - Fee Related
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN202916550U (en) * | 2012-11-30 | 2013-05-01 | 上海理工大学 | Two dimensional photonic crystal light intensity modulator based on auto-collimation effect |
| CN103675993A (en) * | 2013-12-31 | 2014-03-26 | 中国科学院半导体研究所 | Integratable light quantum walking device based on photonic crystal auto-collimation effect |
| CN203839486U (en) * | 2014-05-28 | 2014-09-17 | 淮阴师范学院 | Frequency-adjustable 90-degree bender and beam splitter based on auto-collimation effect |
Non-Patent Citations (3)
| Title |
|---|
| LIYONG JIANG 等: "Polarization-insensitive self-collimation and beam splitter based on triangular-lattice", 《OPTICAL SOCIETY OF AMERICA》 * |
| RAFIF E. HAMAM 等: "Broadband super-collimation in a hybrid photonic crystal structure", 《OPTICS EXPRESS》 * |
| V. ZABELIN 等: "Self-collimating photonic crystal polarization beam splitter", 《OPTICS LETTERS》 * |
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111164477A (en) * | 2017-08-24 | 2020-05-15 | 国立大学法人横滨国立大学 | Light deflection device |
| CN109933917A (en) * | 2019-03-18 | 2019-06-25 | 杭州电子科技大学 | The molding research method of three-D photon crystal inner spherical defect quantitative |
| CN109933917B (en) * | 2019-03-18 | 2023-02-28 | 杭州电子科技大学 | Research method for quantitative forming of spherical defects in three-dimensional photonic crystal |
| CN110673335A (en) * | 2019-09-01 | 2020-01-10 | 复旦大学 | Photonic crystal light splitting device and design method thereof |
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