CN109669240A - A kind of photonic crystal waveguide sextupole division Mode interference FANO resonant structure - Google Patents

A kind of photonic crystal waveguide sextupole division Mode interference FANO resonant structure Download PDF

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Publication number
CN109669240A
CN109669240A CN201910007801.3A CN201910007801A CN109669240A CN 109669240 A CN109669240 A CN 109669240A CN 201910007801 A CN201910007801 A CN 201910007801A CN 109669240 A CN109669240 A CN 109669240A
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waveguide
dielectric posts
point defect
sextupole
photonic crystal
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CN201910007801.3A
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CN109669240B (en
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欧阳征标
安银冰
吴国城
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Shenzhen University
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Shenzhen University
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    • GPHYSICS
    • G02OPTICS
    • G02BOPTICAL ELEMENTS, SYSTEMS OR APPARATUS
    • G02B6/00Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings
    • G02B6/10Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type
    • G02B6/12Light guides; Structural details of arrangements comprising light guides and other optical elements, e.g. couplings of the optical waveguide type of the integrated circuit kind
    • G02B6/122Basic optical elements, e.g. light-guiding paths
    • G02B6/1225Basic optical elements, e.g. light-guiding paths comprising photonic band-gap structures or photonic lattices

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  • Physics & Mathematics (AREA)
  • Engineering & Computer Science (AREA)
  • Microelectronics & Electronic Packaging (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Optical Integrated Circuits (AREA)

Abstract

The invention discloses a kind of photonic crystal waveguide sextupoles to divide Mode interference FANO resonant structure, it includes the 2 D photon crystal line style waveguide that the dielectric posts arrangement by several with refractive index is constituted, 2 D photon crystal line style waveguide includes two waveguide ports and a point defect resonant cavity, two of them waveguide port is separately positioned on the two sides of point defect resonant cavity, the point defect dielectric posts that point defect resonant cavity includes four dielectric posts and a cross section long side perpendicular to waveguide axis and length-width ratio is 1.43~1.45, each two dielectric posts are relatively symmetrically respectively set in the two sides of its point defects dielectric posts, each center of four dielectric posts and point defect dielectric posts is equally spaced from arrangement.Structure of the invention is compact, convenient for controlling the bright mould and dark mould of Fano resonance, is easy to realize with other photon crystal devices integrated.

Description

A kind of photonic crystal waveguide sextupole division Mode interference FANO resonant structure
Technical field
The present invention relates to the distributions of photonic crystal point defect mode and Fano resonance field, and in particular to one kind is by photonic crystal Waveguide sextupole divides Fano resonant structure caused by Mode interference.
Background technique
Photonic crystal is always the popular domain that people study optical device in recent years.Photonic crystal is by differing dielectric constant The crystal structure that is arranged to make up by periodic lattice of material.When electromagnetic wave is propagated in photonic crystal, Bragg diffraction causes Electromagnetic wave is formed band structure by modulation, and the electromagnetic wave in forbidden band cannot be propagated completely.It is lacked to being introduced in photonic crystal The guidance and control that may be implemented to electromagnetic wave are fallen into, it is possible thereby to obtain the device of various different function, such as photor crystal laser Device, filter, sensor etc..
Fano resonance is found in quantum regime at first, and it is existing to have also discovered many Fano resonance in optical field later As main feature is exactly to have asymmetric line style and extremely narrow line width, can be widely applied to photoswitch, laser, bio-sensing Etc., one research boom has been started in optical field in recent years.Under normal circumstances, the generation of optics Fano resonance needs two A condition: a, broadband mould or wider mode of resonance are also bright mould;B, relatively narrow mode of resonance is also dark mould, in narrow mould resonance spectrum Near point, the phase of two mode waves has the difference of π.After two Mode Couplings, interference, at the frequency that phase difference is π, two There is a very steep paddy in mode cancellation, that is, occurs a paddy near the resonant frequency of dark mould, and the mutually long part of phase Then two mode intensities are mutually reinforced, and a spike can be observed at certain frequency.However, existing document report, construction can The photonic crystal Fano resonance of control requires just to can be carried out limited adjusting using complicated unsymmetric structure.
With the increase of photon crystal device integrated level, the volume requirement to photon crystal device is the smaller the better.If While miniaturization is with structure is simplified, additionally it is possible to which preferably Fano resonance line style, which is adjusted and is controlled, will make optics The application study of Fano resonance is further to industrialization.
Summary of the invention
The purpose of the present invention is to provide a kind of photonic crystal waveguide sextupoles to divide Mode interference FANO resonant structure, structure letter Single pair claims, and overcomes above-mentioned deficiency in the prior art, constructs two intersecting waveguides moulds by a point defect micro-cavity, and can It realizes and resonates the flexible modulation of bright mould and dark mould to Fano.
To achieve the goals above, the present invention provides a kind of photonic crystal waveguide sextupole division Mode interference FANO resonance knot Structure, suitable for being arranged in the background media with refractive index comprising:
2 D photon crystal line style waveguide, the 2 D photon crystal line style waveguide is by several media with refractive index Column arrangement is constituted, and the 2 D photon crystal line style waveguide includes two waveguide ports and a point defect resonant cavity, wherein two A waveguide port is separately positioned on the two sides of the point defect resonant cavity, and the point defect resonant cavity includes four and given an account of Matter column and a point defect dielectric posts are given an account of wherein the two sides of the point defect dielectric posts are relatively symmetrically respectively set each two Each center of matter column, four dielectric posts and the point defect dielectric posts is situated between equally spaced from arrangement, the point defect The depth-width ratio of the cross section of matter column is 1.43~1.45.Two intersecting waveguides moulds are constructed by the point defect resonant cavity, from And realize construction photonic crystal Fano resonance.
Preferably, four dielectric posts and the point defect dielectric posts are arranged in same straight line.
Preferred embodiment in accordance with the present invention, the dielectric posts arrange to form two-dimensional photon by tetragonal or triangular crystal lattice Crystal.
Preferred embodiment in accordance with the present invention, the refractive index of the background media is less than 1.5.
Preferably, the background media is air, vacuum or foamed material.
The refractive index of preferred embodiment in accordance with the present invention, the dielectric posts is greater than 2.6.
Preferably, the material of the dielectric posts is silicon or GaAs.
Preferably, the cross section of the dielectric posts is round or regular polygon.
Preferred embodiment in accordance with the present invention, the width of the 2 D photon crystal line style waveguide are 2a, length na, Middle a is the lattice constant of photonic crystal in the 2 D photon crystal line style waveguide, and n is the constant integer not less than 5.
Preferably, the cross section of the point defect dielectric posts is rectangle or ellipse.
Photonic crystal waveguide sextupole division Mode interference FANO resonant structure of the invention is widely used in any electromagnetism Wave wave band, such as microwave band, millimeter wave band, terahertz wave band, infrared band or visible light wave range.Compared with prior art, The beneficial effects of the present invention are:
(1) wanting for complicated unsymmetric structure must be had by having broken the adjustable Fano resonant structure of previous photonic crystal It asks, structure simple symmetric, plays an important role to the volume for reducing optical device;
(2) it can flexibly realize and resonate the regulation of the dark mould of bright mould to Fano, it can more freely and continuously control Fano be total The form of vibration mould will realize that controllable electric magnetic field device provides more convenient and flexible scheme for future.
The above and other purposes of the present invention, feature, advantage will in the following detailed description, attached drawing and appended Claim further clarify.
Detailed description of the invention
Fig. 1 is showing for photonic crystal waveguide sextupole division Mode interference FANO resonant structure according to the preferred embodiment of the invention It is intended to;
Fig. 2 is the light of photonic crystal waveguide sextupole division Mode interference FANO resonant structure according to the preferred embodiment of the invention Sub-band structure figure;
Fig. 3 is the two of photonic crystal waveguide sextupole division Mode interference FANO resonant structure according to the preferred embodiment of the invention The distribution map of the electric field of a Defect Modes;
Fig. 4 is the electricity of associative mode when photonic crystal waveguide structure mode according to the preferred embodiment of the invention does not divide Field pattern;
Fig. 5 is the saturating of photonic crystal waveguide sextupole division Mode interference FANO resonant structure according to the preferred embodiment of the invention Penetrate spectrum;
In figure: background media 00;Dielectric posts 01;Point defect dielectric posts 02;Point defect dielectric posts cross-sectional height h;Point lacks Fall into dielectric posts cross-sectional width w;Waveguide port 11;Waveguide port 12;2 D photon crystal line style duct width w1.
Specific embodiment
In the following, being described further in conjunction with attached drawing and specific embodiment to invention, it should be noted that in not phase Under the premise of conflict, new implementation can be formed between various embodiments described below or between each technical characteristic in any combination Example.
It is described below for disclosing the present invention so that those skilled in the art can be realized the present invention.It is excellent in being described below Embodiment is selected to be only used as illustrating, it may occur to persons skilled in the art that other obvious modifications.It defines in the following description Basic principle of the invention can be applied to other embodiments, deformation scheme, improvement project, equivalent program and do not carry on the back Other technologies scheme from the spirit and scope of the present invention.
It will be understood by those skilled in the art that in exposure of the invention, term " longitudinal direction ", " transverse direction ", "upper", The orientation or position of the instructions such as "lower", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outside" Relationship is to be based on the orientation or positional relationship shown in the drawings, and is merely for convenience of description of the present invention and simplification of the description, rather than The device or element of indication or suggestion meaning must have a particular orientation, be constructed and operated in a specific orientation, therefore above-mentioned Term is not considered as limiting the invention.
It is understood that term " one " is interpreted as " at least one " or " one or more ", i.e., in one embodiment, The quantity of one element can be one, and in a further embodiment, the quantity of the element can be it is multiple, term " one " is no It can be interpreted as the limitation to quantity.
Referring to Fig. 1 to Fig. 5 of attached drawing, photonic crystal waveguide sextupole according to the preferred embodiment of the invention divides Mode interference FANO resonant structure will be elucidated in following description, be suitable for being arranged in the background media 00 with low-refraction.
The refractive index of the background media 00 is less than 1.5.In the present embodiment, the background media 00 is air.At it In his possible embodiment, the background media 00 is also possible to medium of other refractive index less than 1.5, such as vacuum, bubble Foam material etc..
As shown in Fig. 1, the photonic crystal waveguide sextupole division Mode interference FANO resonant structure includes two-dimensional photon crystalline substance Body line style waveguide, the 2 D photon crystal line style waveguide are made of several arrangements of dielectric posts 01 with refractive index.It is preferred that Ground, the dielectric posts 01 are evenly distributed in the background media 00.
Preferably, the dielectric posts 01 arrange to form 2 D photon crystal by tetragonal.The dielectric posts 01 it is transversal Face is circle, and radius is 0.2 μm, and on the x-y plane, cylinder axis is along the z-axis direction for cross section.The material of the dielectric posts 01 Using silicon, refractive index 3.5.
It will be appreciated by persons skilled in the art that in other possible embodiments, the 2 D photon crystal It can be, but not limited to be arranged by dielectric posts by triangular crystal lattice and be formed, the cross section of the dielectric posts also can be, but not limited to be just more Side shape, material are also possible to GaAs.
Further, the 2 D photon crystal line style waveguide includes waveguide port 11, waveguide port 12 and a point Defect resonant cavity, wherein the waveguide port 11 and the waveguide port 12 are separately positioned on the two of the point defect resonant cavity Side.
The center of the 2 D photon crystal line style waveguide is arranged in the point defect resonant cavity comprising four institutes Dielectric posts 01 and a point defect dielectric posts 02 are stated, wherein the two sides of the point defect dielectric posts 02 are relatively symmetrically respectively set respectively Two dielectric posts 01.
Preferably, the cross section of the point defect dielectric posts 02 is rectangle, and depth-width ratio is 1.43~1.45.The point lacks Material and the dielectric posts 01 for falling into dielectric posts 02 are identical, are also silicon, refractive index 3.5.In other possible embodiments, The cross section of the point defect dielectric posts 02 may be ellipse, and material is also possible to GaAs.
Preferably, each center of four dielectric posts 01 and the point defect dielectric posts 02 is equally spaced from row Cloth.
Preferably, four dielectric posts 01 and the point defect dielectric posts 02 are arranged in same straight line, to be formed a little Defect line style resonant cavity.
Fano resonant structure waveguide of the invention respectively corresponds two waveguide ports, i.e., the described waveguide port 11 and waveguide end Mouth 12, respectively as waveguide entry port and waveguide exit ports.The width w1 of the 2 D photon crystal line style waveguide is 2a, Length is na, and wherein n is the constant integer not less than 5, and a is that the lattice of photonic crystal in the 2 D photon crystal line style waveguide is normal Number.In the present embodiment, a is set to 1 μm.
Preferably, 15 n.
Fig. 2 and Fig. 3 are that rectangular dots defective media column 02 is h=1.155 μm high, Photonic band structure at wide w=0.8008 μm Figure and mode distributions figure, wherein Fig. 2 uses 7 × 7 waveguiding structures to be calculated.Fig. 4 is rectangular dots defective media Point defect feature mode distribution map of the electric field at 02 high h=0.4 μm, wide w=0.1 μm of column, due to point defect dielectric posts at this time compared with Small, mode divides not yet.Fig. 5 be rectangular dots defective media column 02 it is h=1.155 μm high, wide w take respectively 0.8043 μm, Transmission spectrum at 0.8023 μm, 0.8003 μm, 0.7983 μm, 0.7963 μm.As shown in Figure 5, the value of w directly affects Fano The line style of resonance, illustrating can be by the size or point of adjustment defective media column 02 of the 02 wide w in cross section of point of adjustment defective media column Refractive index control the form of Fano mode of resonance.
It will be appreciated by persons skilled in the art that photonic crystal waveguide sextupole of the present invention divides Mode interference FANO Resonant structure is not limited to the above embodiment, such as those skilled in the art's revealed technical solution, and root according to the present invention Principle, the i.e. operation wavelength Yu photonic crystal lattice constant of Fano resonant structure, photonic crystal are scaled according to photonic crystal equal proportion In the relationships of the parameters such as medium column dimension meet proportional relation to select respective material;For another example constructed using other proportion structures Model identical interference generates Fano resonance.
It should be understood by those skilled in the art that foregoing description and the embodiment of the present invention shown in the drawings are only used as illustrating And it is not intended to limit the present invention.The purpose of the present invention has been fully and effectively achieved.Function and structural principle of the invention exists It shows and illustrates in embodiment, under without departing from the principle, embodiments of the present invention can have any deformation or modification.

Claims (10)

1. a kind of photonic crystal waveguide sextupole divides Mode interference FANO resonant structure, it is situated between suitable for the background with refractive index is arranged in In matter characterized by comprising
2 D photon crystal line style waveguide, the 2 D photon crystal line style waveguide are arranged by several dielectric posts with refractive index Cloth is constituted, and the 2 D photon crystal line style waveguide includes two waveguide ports and a point defect resonant cavity, two of them institute The two sides that waveguide port is separately positioned on the point defect resonant cavity are stated, the point defect resonant cavity includes four dielectric posts With a point defect dielectric posts, wherein each two media are relatively symmetrically respectively set in the two sides of the point defect dielectric posts Each center of column, four dielectric posts and the point defect dielectric posts is equally spaced from arrangement, the point defect medium The depth-width ratio of the cross section of column is 1.43~1.45.
2. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that four A dielectric posts and the point defect dielectric posts are arranged in same straight line.
3. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that institute Dielectric posts are stated to arrange to form 2 D photon crystal by tetragonal or triangular crystal lattice.
4. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that institute The refractive index of background media is stated less than 1.5.
5. photonic crystal waveguide sextupole according to claim 1 or 4 divides Mode interference FANO resonant structure, feature exists In the background media is air, vacuum or foamed material.
6. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that institute The refractive index for stating dielectric posts is greater than 2.6.
7. photonic crystal waveguide sextupole according to claim 1 or 6 divides Mode interference FANO resonant structure, feature exists In the material of the dielectric posts is silicon or GaAs.
8. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that institute The cross section of dielectric posts is stated as round or regular polygon.
9. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that institute The width for stating 2 D photon crystal line style waveguide is 2a, length na, and wherein a is light in the 2 D photon crystal line style waveguide The lattice constant of sub- crystal, n are the constant integer not less than 5.
10. photonic crystal waveguide sextupole according to claim 1 divides Mode interference FANO resonant structure, which is characterized in that The cross section of the point defect dielectric posts is rectangle or ellipse.
CN201910007801.3A 2019-01-04 2019-01-04 Photonic crystal waveguide hexapole splitting mode interference FANO resonance structure Expired - Fee Related CN109669240B (en)

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