CN105425504A - Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect - Google Patents

Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect Download PDF

Info

Publication number
CN105425504A
CN105425504A CN201510980343.3A CN201510980343A CN105425504A CN 105425504 A CN105425504 A CN 105425504A CN 201510980343 A CN201510980343 A CN 201510980343A CN 105425504 A CN105425504 A CN 105425504A
Authority
CN
China
Prior art keywords
photonic crystal
interference effect
autocollimation
beam splitter
logic
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Pending
Application number
CN201510980343.3A
Other languages
Chinese (zh)
Inventor
杨修伦
孙晓雯
范冉冉
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Shandong University
Original Assignee
Shandong University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Shandong University filed Critical Shandong University
Priority to CN201510980343.3A priority Critical patent/CN105425504A/en
Publication of CN105425504A publication Critical patent/CN105425504A/en
Pending legal-status Critical Current

Links

Classifications

    • G—PHYSICS
    • G02—OPTICS
    • G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F3/00—Optical logic elements; Optical bistable devices

Landscapes

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

Abstract

The invention provides a two-dimensional photonic crystal logic OR gate based on the auto-collimation interference effect. The two-dimensional photonic crystal logic OR gate comprises a photonic crystal with a square crystal lattice, and the photonic crystal has the auto-collimation interference effect. Two line defects arranged in the propagation direction of self-collimation light beams are manufactured inside the photonic crystal and serve as a beam splitter S1 and a beam splitter S2, the column radiuses rS1 and rS2 of the line defects are equal to 0.421a and 0.39a respectively, S1 is the partial reflection beam splitter, and S2 is the total reflection beam splitter. The distance delta l between the two beam splitters is equal to 14a or 25a or 36a or 51a, wherein a is equal to 0.4185 micrometers. Two incidence ports and an output port are formed in the photonic crystal. The phase difference between two input light beams is adjusted by adjusting the column radiuses of the defects and the light path difference between the two input beams, and the two input light beams achieve the logic function through destructive interference or constructive interference. The logic OR gate is not limited by physical boundaries in traditional waveguide, and higher adaptability is achieved.

Description

Based on the 2 D photon crystal logic sum gate of autocollimation interference effect
Technical field
The present invention relates to a kind of 2 D photon crystal logic sum gate based on autocollimation interference effect, belong to the technical field of physical optics photonic crystal.
Background technology
Photonic crystal forms periodic structure by the dielectric material of differing dielectric constant in space, be subject to modulation wherein when light is propagated and form photonic band structures, under the condition of suitable grating constant with specific inductive capacity ratio, occur photon band gap, the light that frequency drops in photon band gap can not be propagated.Photonic crystal limits the transmission direction of light by band gap thus leaded light is carried out in the direction of propagation reaching manual control light.In photonic crystal, there is Semi―classical theory, comprise negative refraction, autocollimation and super prism effect etc.In auto-collimation effect, photonic crystal accurately can control the dissemination of light.
Auto-collimation effect refers to that electromagnetic wave is modulated by periodic structure in the photonic crystal, as in real optical waveguide, can transmit along specific direction salt free ligands.The direction of propagation of electromagnetic wave in photon crystal structure is determined by the dispersion surface of photonic crystal, and incoming electromagnetic direction of wave travel is perpendicular to the dispersion surface of photonic crystal.Dispersion surface is called as equifrequency line (EFC) at the transversal at given frequency place.When equifrequency line corresponding to a certain frequency is smooth, autocollimation propagation phenomenon can be there is with the electromagnetic wave of this frequency incidence.Equifrequency line can obtain by multiple numerical calculations, as plane wave expansion (PWE) method, Fdtd Method (FDTD) method, finite element method (FEM) etc.Tested and theoretical validation based on the beam splitter of auto-collimation effect and interference device.Optical switch and logic gate are the basic components and parts in integrated optics design, and therefore, this type of optical device has obtained the extensive concern of people.
Early stage by electromagnetical analogies, the optical interdferometer logic gate based on metal waveguide network design, can realize all basic logic operations.The logic gate based on MMI waveguide was proposed again afterwards for binary phase shift keying.Interfere and nonlinear phase erasure effect based on linear lightwave, proposing can cascade and reconfigurable photon logic gates.But, the work of published photoswitch design aspect mostly based on be optically-coupled effect, be subject to the restriction of physical boundary in conventional waveguide.
Summary of the invention
The present invention is directed to the problem that traditional photoswitch is subject to physical boundary restriction in the waveguide, propose a kind of restriction can avoiding being subject to physical boundary in waveguide, make the 2 D photon crystal logic sum gate based on autocollimation interference effect that incident beam transmits along specific direction.
The 2 D photon crystal logic sum gate based on autocollimation interference effect in the present invention, by the following technical solutions:
This logic sum gate, comprises the photonic crystal of a tetragonal, and this photonic crystal has autocollimation interference effect; Two line defects arranged along the autocollimator beam direction of propagation (Γ M direction) are had, as two beam splitter S at the internal production of photonic crystal 1and S 2, the column radius of line defect is respectively r s1=0.421a and r s2=0.39a, S 1part reflective beam splitter, and S 2it is total reflection beam splitter; The distance, delta l=14a of two beam splitters, 25a, 36a or 51a, wherein a=0.4185 μm; Two entry port and an output port is provided with in photonic crystal.Adjust the phase differential between two input beams by the path difference between adjustment defect column radius and two input beams, two input beams realize logic function by destructive interference or constructive interference.
The photonic crystal of described tetragonal is the photonic crystal of the 2-D air hole tetragonal taking silicon as background material, DIELECTRIC CONSTANT ε=11.56 of background material silicon.
The size of described photonic crystal is 35a*35a, a=0.4185 μm.
The column radius r=0.3a of described photonic crystal, a=0.4185 μm.
The incident light beam wavelength of described entry port is 1.55 μm.
Work as r s1during=0.421a, S 1power transmittance and reflectivity be T=0.41699 and R=0.40831 respectively.
Above-mentioned logic sum gate introduces defect in the photonic crystal, carry out light splitting, form autocollimation interference effect, the interference between recycling autocollimator beam, by the path difference between the radius of adjustment beam splitter defect post and two-beam, adjust the phase differential between two input beams.Two light beams can realize switch and logic function by destructive interference or constructive interference.Utilize the beam splitter of known fundamental characteristics, arrange light path, by arranging a given data, utilizing Finite-Difference Time-Domain Method, perfect domination set (PML) border being set, realizing the functional simulation of logic sum gate.Which is not subject to the restriction of physical boundary in conventional waveguide, has better adaptability.
The present invention is based on the autocollimation interference effect of photonic crystal, produce required phase differential by the geometry path length difference adjusted between the column radius of beam splitter and two-beam, realize constructive interference or destructive interference, thus realize switch or logic function.Utilize compared with coupling effect optical switch with traditional, based on the logic sum gate of autocollimation interference effect, the restriction of physical boundary in conventional waveguide can be utilized, make incident beam transmit along specific direction.
Accompanying drawing explanation
Fig. 1 is photonic crystal TE pattern second frequency band equifrequency line distribution plan.Radius r=the 0.3a of airport in photonic crystal, DIELECTRIC CONSTANT ε=11.56 of background material silicon.
Fig. 2 is through rate T and reflectivity R with beam splitter column radius r dthe change curve of/a.
Fig. 3 is the structural representation of the 2 D photon crystal logic sum gate that the present invention is based on autocollimation interference effect.S 1and S 2two beam splitters, S 2width be 6 row's lattice points, arrow line describes the travel path of autocollimator beam.
Fig. 4 is the simulation yard distribution schematic diagram of A port two logic sum gates when having a signal.
Fig. 5 is the simulation yard distribution schematic diagram of B port two logic sum gates when having a signal.
Fig. 6 is the simulation yard distribution schematic diagram of the logic sum gate of Δ l=14a.
Fig. 7 is the simulation yard distribution schematic diagram of the logic sum gate of Δ l=25a.
Fig. 8 is the simulation yard distribution schematic diagram of the logic sum gate of Δ l=36a.
Fig. 9 is the simulation yard distribution schematic diagram of the logic sum gate of Δ l=51a.
Embodiment
The design that the present invention is based on the 2 D photon crystal logic sum gate of autocollimation interference effect needs to use light-dividing device, and this light-dividing device, by the autocollimation interference effect in conjunction with photonic crystal, by arranging light path, realizes the function of logic sum gate.
It is the square photon crystal structure in 2-D air hole of background that the present invention have studied with silicon, Fig. 1 gives the equifrequency line distribution of TE pattern second frequency band, as can be seen from the figure, the close square of the equifrequency line that f=0.27 (c/a) is corresponding, this causes TE polarized light can realize autocollimation transmission along Γ X-direction near frequency f=0.27 (c/a).The present invention utilizes the TE polarized light of said structure and frequency f=0.27 (c/a) to carry out logic gate design.
In above-mentioned photonic crystal: the radius of airport is r=0.3a (wherein a is grating constant), and the specific inductive capacity of background material Si is 11.56, and the optical wavelength of use is 1.55 μm, and grating constant is set to a=λ f=0.4185 μm.
The beam splitter used in design is the line defect along the arrangement of Γ M direction in photonic crystal, and light beam is incident on the left of photonic crystal, transmits along Γ X-direction.The defect column radius r of beam splitter dvariation range be [0,0.5a].In beam splitter, light beam transmits along specific Γ X-direction.In beam splitter, frequency of utilization is the TE polarized Gaussian optical beams of f=0.27 (c/a).
Above-mentioned beam splitter is by carrying out time integral to Poynting vector, the time average of beam splitter transmittance and reflectance light beam power can be obtained, the power of this average and incident beam is made comparisons, and just can obtain the value of transmissivity T and reflectivity R, and this value changes along with the change of defect column radius.Fig. 2 gives beam splitter transmissivity and reflectivity with radius r dchange curve.
When light is propagated by beam splitter, between reflected light and transmitted light, there is the phase differential of pi/2.If the column radius of line defect is less than the column radius of host photonic crystal, then compared with incident beam, folded light beam will produce the delayed phase of pi/2; On the contrary, if the column radius of this line defect is larger than the column radius of host photonic crystal, then compared with incident beam, folded light beam will produce the delayed phase of pi/2.
The present invention utilizes Fdtd Method (FDTD) method, arranges perfect domination set (PML) boundary condition, simulates the transport behavior of the light beam by device.
2 D photon crystal logic sum gate based on autocollimation interference effect of the present invention, as shown in Figure 3.Take silicon as the square photon crystal structure of 2-D air hole 35a*35a of background material, column radius r=0.3a, DIELECTRIC CONSTANT ε=11.56 of background material silicon, the optical wavelength used in communication is 1.55 μm, wherein a is grating constant, is set as a=λ f=0.4185 μm.Two beam splitter S 1and S 2for the line defect arranged along Γ M direction in photonic crystal, the column radius of line defect is respectively r s1=0.421a and r s2=0.39a, works as r s1during=0.421a, S 1power transmittance and reflectivity be T=0.41699 and R=0.40831 respectively.S 1part reflective beam splitter, and S 2it is total reflection beam splitter.From S 1to S 2distance be Δ l.Whole device has A and B two entry port, and an output port is I.
Logic sum gate refers to that output port just has flashlight when only having an input port to have incident beam or two input ports to have an incident beam.In Fig. 4 and Fig. 5, from A and B incidence is all flashlight.When A and B has incident light simultaneously, the distance between two beam splitters must be adjusted, disappear mutually in output port interference to avoid two incident beams.Want the intensity improving output beam, two incident beams must be allowed to produce constructive interference.
When A and B two incident intensity is equal, if Δ l=14a, 25a, 36a or 51a, output terminal has signal to export, and it can be defined as logical one.Fig. 6, Fig. 7, Fig. 8 and Fig. 9 sets forth four kinds of stationary field distributions of the logical one of Δ l=14a, 25a, 36a and 51a.When A and B does not have flashlight to input, it can be defined as logical zero.

Claims (6)

1. based on a 2 D photon crystal logic sum gate for autocollimation interference effect, it is characterized in that, comprise the photonic crystal of a tetragonal, this photonic crystal has autocollimation interference effect; Two are had along the line defect of autocollimator beam direction of propagation arrangement, as two beam splitter S at the internal production of photonic crystal 1and S 2, the column radius of line defect is respectively r s1=0.421a and r s2=0.39a, S 1part reflective beam splitter, and S 2it is total reflection beam splitter; The distance, delta l=14a of two beam splitters, 25a, 36a or 51a, wherein a=0.4185 μm; Two entry port and an output port is provided with in photonic crystal.
2. the 2 D photon crystal logic sum gate based on autocollimation interference effect according to claim 1, it is characterized in that, the photonic crystal of described tetragonal is the photonic crystal of the 2-D air hole tetragonal taking silicon as background material, DIELECTRIC CONSTANT ε=11.56 of background material silicon.
3. the 2 D photon crystal logic sum gate based on autocollimation interference effect according to claim 1, is characterized in that, the size of described photonic crystal is 35a*35a, a=0.4185 μm.
4. the 2 D photon crystal logic sum gate based on autocollimation interference effect according to claim 1, is characterized in that, the column radius r=0.3a of described photonic crystal, a=0.4185 μm.
5. the 2 D photon crystal logic sum gate based on autocollimation interference effect according to claim 1, is characterized in that, the incident light beam wavelength of described entry port is 1.55 μm.
6. the 2 D photon crystal logic sum gate based on autocollimation interference effect according to claim 1, is characterized in that, work as r s1during=0.421a, S 1power transmittance and reflectivity be T=0.41699 and R=0.40831 respectively.
CN201510980343.3A 2015-12-23 2015-12-23 Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect Pending CN105425504A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201510980343.3A CN105425504A (en) 2015-12-23 2015-12-23 Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201510980343.3A CN105425504A (en) 2015-12-23 2015-12-23 Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect

Publications (1)

Publication Number Publication Date
CN105425504A true CN105425504A (en) 2016-03-23

Family

ID=55503805

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201510980343.3A Pending CN105425504A (en) 2015-12-23 2015-12-23 Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect

Country Status (1)

Country Link
CN (1) CN105425504A (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106371264A (en) * 2016-11-24 2017-02-01 山东大学 Two-dimensional photonic crystal logic NAND gate based on autocollimation interference effect
CN106527014A (en) * 2016-11-24 2017-03-22 山东大学 Two-dimensional photonic crystal logic equivalence gate based on auto-collimation interference effect
CN106647100A (en) * 2016-11-24 2017-05-10 山东大学 Two-dimensional photonic crystal logic NOR gate based on auto-collimation interference effect
WO2018126841A1 (en) * 2017-01-08 2018-07-12 复旦大学 Photonic crystal lens widely adjustable in focal length and design method therefor

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR20120003991A (en) * 2010-07-06 2012-01-12 성균관대학교산학협력단 Polarization beam splitter based on self-collimating photonic crystal, polarization beam splitter slab including the same and orthogonal polarizing method for light wave using the same
CN102323707A (en) * 2011-09-26 2012-01-18 北京邮电大学 Photonic crystal all-optical exclusive-or logic gate structure based on interference principle
CN102445809A (en) * 2010-09-30 2012-05-09 中国科学院微电子研究所 Quantitative method for optical analog-to-digital converter based on photonic crystal self-alignment effect

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
KR20120003991A (en) * 2010-07-06 2012-01-12 성균관대학교산학협력단 Polarization beam splitter based on self-collimating photonic crystal, polarization beam splitter slab including the same and orthogonal polarizing method for light wave using the same
CN102445809A (en) * 2010-09-30 2012-05-09 中国科学院微电子研究所 Quantitative method for optical analog-to-digital converter based on photonic crystal self-alignment effect
CN102323707A (en) * 2011-09-26 2012-01-18 北京邮电大学 Photonic crystal all-optical exclusive-or logic gate structure based on interference principle

Non-Patent Citations (2)

* Cited by examiner, † Cited by third party
Title
SUSAN CHRISTINA XAVIER 等: "Design of two-dimensional photonic crystal-based all-optical binary adder", 《OPTICAL ENGINEERING》 *
YUANLIANG ZHANG 等: "Optical switches and logic gates based on self-collimated beams in two-dimensional photonic crystals", 《OPTICS EXPRESS》 *

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106371264A (en) * 2016-11-24 2017-02-01 山东大学 Two-dimensional photonic crystal logic NAND gate based on autocollimation interference effect
CN106527014A (en) * 2016-11-24 2017-03-22 山东大学 Two-dimensional photonic crystal logic equivalence gate based on auto-collimation interference effect
CN106647100A (en) * 2016-11-24 2017-05-10 山东大学 Two-dimensional photonic crystal logic NOR gate based on auto-collimation interference effect
WO2018126841A1 (en) * 2017-01-08 2018-07-12 复旦大学 Photonic crystal lens widely adjustable in focal length and design method therefor

Similar Documents

Publication Publication Date Title
CN105404074A (en) Two-dimensional photonic crystal logic AND gate based on auto-collimation interference effect
Alipour-Banaei et al. Application of self-collimated beams to realization of all optical photonic crystal encoder
Salmanpour et al. Photonic crystal logic gates: an overview
CN105404075A (en) Auto-collimation interference effect based two-dimensional photonic crystal logic inverter
Mohebbi et al. High contrast all-optical logic gates based on 2D nonlinear photonic crystal
Noori et al. Self‐collimation in photonic crystals: applications and opportunities
Bykov et al. Bound states in the continuum and strong phase resonances in integrated Gires-Tournois interferometer
CN105425504A (en) Two-dimensional photonic crystal logic OR gate based on auto-collimation interference effect
Hajshahvaladi et al. Design and analysis of a plasmonic demultiplexer based on band-stop filters using double-nanodisk-shaped resonators
Danaee et al. Wide-band low cross-talk photonic crystal waveguide intersections using self-collimation phenomenon
Danaie et al. Design of a photonic crystal differential phase comparator for a Mach–Zehnder switch
Martínez et al. Negative refraction in two-dimensional photonic crystals: Role of lattice orientation and interface termination
Nurmohammadi et al. A proposal for a demultiplexer based on plasmonic metal–insulator–metal waveguide-coupled ring resonator operating in near-infrared spectrum
Dumais et al. Three-mode synthesis of slab Gaussian beam in ultra-low-loss in-plane nanophotonic silicon waveguide crossing
Caballero et al. A review on photonic crystal logic gates
Roszkiewicz et al. Unidirectional SPP excitation at asymmetrical two-layered metal gratings
Bashiri et al. A 2× 1 all-optical multiplexer using Kerr nonlinear nano-plasmonic switch
El Haffar et al. All-optical logic gates using a plasmonic MIM waveguide and elliptical ring resonator
Moradi et al. All-optical NOR and NOT logic gates based on ring resonator-based plasmonic nanostructures
Sharma et al. 2D photonic crystal based all-optical add-drop filter consisting of square ring resonator
Cheben et al. Recent advances in metamaterial integrated photonics
CN103941337A (en) Y-type polarization filtering beam splitter based on isomorphic two-dimension photonic crystals
Rafiee et al. Design of an all-optical compact 2* 1 multiplexer based on 2D photonic crystal ring resonators
CN106647100A (en) Two-dimensional photonic crystal logic NOR gate based on auto-collimation interference effect
Mostafa et al. Literature review on all-optical photonic crystal encoders and some novel trends

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
WD01 Invention patent application deemed withdrawn after publication
WD01 Invention patent application deemed withdrawn after publication

Application publication date: 20160323