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Dissertations / Theses on the topic 'Three-dimensional photonic crystals'

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Published: 4 June 2021

Last updated: 14 February 2022

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1

Scrimgeour, Jan. "Engineering waveguide structures in three-dimensional photonic crystals." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.534199.

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2

Sharp, David Neil. "The fabrication and assessment of three-dimensional photonic crystals." Thesis, University of Oxford, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.249209.

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3

Tal, Amir. "THREE-DIMENSIONAL MICRON-SCALE METAL PHOTONIC CRYSTALS VIA MULTI-PHOTON DIRECT LASER WRITING AND ELECTROLESS METAL DEPOSITION." Master's thesis, University of Central Florida, 2007. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/3889.

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Three-dimensional (3D) metal photonic crystals (MPCs) can exhibit interesting electromagnetic properties such as ultra-wide photonic or "plasmonic" band gaps, selectively tailored thermal emission, extrinsically modified absorption, and negative refractive index. Yet, optical-wavelength 3D MPCs remain relatively unexplored due to the challenges posed by their fabrication. This work explores the use of multi-photon direct laser writing (DLW) coupled with electroless metallization as a means for preparing MPCs. Multi-photon DLW was used to prepare polymeric photonic crystal (PC) templates having

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4

Chen, Lifeng. "Design, fabrication and characterization of three-dimensional photonic crystals." Thesis, University of Bristol, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.702900.

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5

Sechrist, Zachary Aspen. "One-dimensional and three-dimensional photonic crystals created using atomic layer deposition." Diss., Connect to online resource, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3239418.

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6

Hermann, Christian. "Three dimensional finite difference time domain simulations of photonic crystals." [S.l. : s.n.], 2004. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB11380446.

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7

Shin, Jonghwa. "Three-dimensional photonic crystals and metamaterials for controlling light propagation /." May be available electronically:, 2008. http://proquest.umi.com/login?COPT=REJTPTU1MTUmSU5UPTAmVkVSPTI=&clientId=12498.

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8

Patel, Amil Ashok 1979. "Membrane technology for the fabrication of three-dimensional photonic crystals." Thesis, Massachusetts Institute of Technology, 2010. http://hdl.handle.net/1721.1/60175.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2010.<br>Cataloged from PDF version of thesis.<br>Includes bibliographical references (p. 157-163).<br>Three-dimensional photonic crystals hold tremendous promise toward the realization of truly integrated photonic circuits on a single substrate. Nanofabrication techniques currently limit the ability to create the multilayer structure of dielectric materials. Past investigators have approached the problem using the layer-by-layer fabrication method; this method leverages the planar pro

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9

Venkataraman, Sriram. "Fabrication of two-dimensional and three-dimensional photonic crystal devices for applications in chip-scale optical interconnects." Access to citation, abstract and download form provided by ProQuest Information and Learning Company; downloadable PDF file 14.14 Mb., 220 p, 2006. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&res_dat=xri:pqdiss&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&rft_dat=xri:pqdiss:3200519.

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10

Lee, Hooi Sing [Verfasser]. "Three-dimensional Photonic Crystals for High Temperature Applications / Hooi Sing Lee." München : Verlag Dr. Hut, 2014. http://d-nb.info/1050331796/34.

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11

Roche, Oilvia Mary. "Routes to controlling the optical properties of three-dimensional photonic crystals." Thesis, University of Oxford, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.497087.

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12

Ventura, Michael James. "Fabrication and characterisation of three-dimensional passive and active photonic crystals." Swinburne Research Bank, 2008. http://hdl.handle.net/1959.3/35914.

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Thesis (PhD) - Swinburne University of Technology, Faculty of Engineering and Industrial Sciences, Centre for Micro-Photonics, 2008.<br>Submitted for the degree of Doctor of Philosophy, Centre for Micro-Photonics, Faculty of Engineering and Industrial Sciences, 2008. Typescript. Bibliography: p. 104-118.

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13

Qi, Minghao 1973. "Three-dimensional nanofabrication of photonic crystals and polarization splitters and rotators." Thesis, Massachusetts Institute of Technology, 2005. http://hdl.handle.net/1721.1/33923.

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Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2005.<br>Also issued in pages.<br>Includes bibliographical references (leaves 131-133).<br>One of the most critical challenges in nanoscale science and engineering is to make functional 3D nanodevices with high-accuracy. While considerable progress has been made in the "bottom-up" approach, the lithographic "top-down" approach remains the only way to encode human engineering effort, and to meet the optimal theoretical designs. Probably the most prominent example of lithographic fabrica

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14

Kulkarni, Aditya. "Simulation of three dimensional current spreading in photonic crystal VCSEL structures." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/28254.

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15

John, Gelleta. "Three-dimensional Coupled-wave Analysis of External Reflection in Photonic Crystal Lasers." Kyoto University, 2017. http://hdl.handle.net/2433/218016.

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16

Liddell, Chekesha Miata. "Non-spherical zinc sulfide colloids as building blocks for three-dimensional photonic crystals." Diss., Georgia Institute of Technology, 2003. http://hdl.handle.net/1853/32788.

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17

Deubel, Markus [Verfasser]. "Three-Dimensional Photonic Crystals via Direct Laser Writing: Fabrication and Characterization / Markus Deubel." Aachen : Shaker, 2006. http://d-nb.info/1186584416/34.

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18

Kuang, Ping. "Economical fabrication methods of three-dimensional ceramic Photonic Band Gap crystals at micron and submicron scales." [Ames, Iowa : Iowa State University], 2007.

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19

Deubel, Markus. "Three-dimensional photonic crystals via direct laser writing : fabrication and characterization = Dreidimensionale photonische Kristalle mittels direkten Laserschreibens /." Aachen : Shaker, 2006. http://swbplus.bsz-bw.de/bsz252812697abs.htm.

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20

Lutkenhaus, Jeffrey Ryan. "Local Phase Manipulation for Multi-Beam Interference Lithography for the Fabrication of Two and Three Dimensional Photonic Crystal Templates." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc955084/.

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In this work, we study the use of a spatial light modulator (SLM) for local manipulation of phase in interfering laser beams to fabricate photonic crystal templates with embedded, engineered defects. A SLM displaying geometric phase patterns was used as a digitally programmable phase mask to fabricate 4-fold and 6-fold symmetric photonic crystal templates. Through pixel-by-pixel phase engineering, digital control of the phases of one or more of the interfering beams was demonstrated, thus allowing change in the interference pattern. The phases of the generated beams were programmed at specifi

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21

Badieirostami, Majid. "Design and implementation of ultra-high resolution, large bandwidth, and compact diffuse light spectrometers." Diss., Atlanta, Ga. : Georgia Institute of Technology, 2008. http://hdl.handle.net/1853/26644.

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Thesis (Ph.D)--Electrical and Computer Engineering, Georgia Institute of Technology, 2009.<br>Committee Chair: Adibi, Ali; Committee Member: Bhatti, Pamela; Committee Member: Callen, William; Committee Member: Gaylord, Thomas; Committee Member: Zhou, Hao-Min. Part of the SMARTech Electronic Thesis and Dissertation Collection.

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22

Liang, Yong. "Three-dimensional coupled-wave theory for photonic-crystal surface-emitting lasers." 京都大学 (Kyoto University), 2014. http://hdl.handle.net/2433/188596.

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23

Liu, Yifan. "High Performance Three-Dimensional Display Based on Polymer-Stabilized Blue Phase Liquid Crystal." Doctoral diss., University of Central Florida, 2014. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/6309.

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Autostereoscopic 2D/3D (two-dimension/three-dimension) switchable display has been attracting great interest in research and practical applications for several years. Among different autostereoscopic solutions, direction-multiplexed 3D displays based on microlens array or parallax barrier are viewed as the most promising candidates, due to their compatibility with conventional 2D display technologies. These 2D/3D switchable display system designs rely on fast switching display panels and photonics devices, including adaptive focus microlens array and switchable slit array. Polymer-stabilized b

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24

Stieler, Daniel Paul. "Characterization of defect cavities and channel-drop filters in the three dimensional woodpile photonic crystal." [Ames, Iowa : Iowa State University], 2008.

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25

Huang, Tang-wei, and 黃堂瑋. "Three-Dimensional Density of States of Two- and Three-Dimensional Photonic Crystals." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/75352730763357167302.

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碩士<br>逢甲大學<br>光電研究所<br>97<br>In this thesis, we employed the plane-wave expansion method to study the off-plane band structures and the density of states (DOS) of two dimensional (2D) photonic crystals (PhCs) of hexagonal、honeycomb and connected-honeycomb lattices. The results provide practical information for light propagation in PhCs and can be used to evaluate the confining effect of 2D PhCs for three-dimensional (3D) light propagation. We used the approach to analyze the PhC-related devices such as the photonic crystal light-emitting diodes (PC-LED) and surface-emitting photonic crystal l

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26

Lin, Chien-yu, and 林建佑. "Band Structures of Quasi-Two Dimensional and Three Dimensional Photonic Crystals." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/17114923350564619840.

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碩士<br>逢甲大學<br>光電研究所<br>95<br>In this thesis, we employed the plane-wave expansion method on magnetic fields to study the band structures of two dimensional (2D) and three dimensional (3D) photonic crystals (PCs). Since lights propagating in 2D PCs are not necessarily confined to the plane of periodicity, we studied the photonic band structures at various off-plane components of wave vectors. The effective index model is employed to evaluate the band gaps at various off-plane angles, i.e., the distributions of forbidden angles. We have also proposed to use eigenvectors to accurately locate forb

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27

Hung, Ching-lang, and 洪敬榔. "Study of Three-Dimensional Photonic Crystal Growth in Blue-Phase Liquid Crystals." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/z43ra2.

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碩士<br>國立中山大學<br>光電工程學系研究所<br>103<br>Photonic crystals are optical materials with periodically distributed refractive indices. Their photonic bandgap effect on the flow of photons makes them appear colored like the wings of a Morpho butterfly. They have potential for use in nano lasers, photovoltaics, nonlinear optics, and other applications. Most of artificial photonic crystals are made by photolithography. For three-dimensional photonic crystals having their photonic bandgaps in the visible spectrum, the required precision and accuracy of fabrication are extremely high. Blue phases (BP) are a

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Yen, Huan-Ting, and 顏煥庭. "Parallelization in Numerical Simulations of Three Dimensional Photonic Crystals." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/61435590865491314090.

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碩士<br>國立臺灣大學<br>數學研究所<br>99<br>This dissertation aims to parallel the Krylov-Schur method with applying generalized minimal residual (GMRES) algorithm, which was combined with the fast Fourier transform (FFT) technique to solve large sparse matrix generalized eigenvalue problem derived from the governing Maxwell equations. The eigenvalue problems will be derived by Yee''s scheme, the eigenvalue solver is based on Krylov-Schur method, associated with GMRES algorithm and a fast Fourier transform based preconditioned, which is very e cient and used to accelerate the inner iteration. The

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29

Lee, Hsing-Fen, and 李幸芬. "Study of three-dimensional photonic crystals by semiconductor processes." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/32999292497473716016.

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碩士<br>國立清華大學<br>原子科學系<br>92<br>Abstract Photonic crystals (PBG) can apply to fabricate many kinds of novel electro-optical devices. Most importantly, it can reduce the volume of these devices substantially and thus will be engaged in highly concentrated integration of electro-optic devices. Owing to the vigorous development of nano-technology, the bandgap region of photonic crystals can be shifted from microwave to infrared or visible light and applications of PBG are more extensively and practically. Although the fabrication of two-dimensional photonic crystals (2-D PCs) is simple by lithogra

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30

Wang, Sheng, and 王勝. "FAMEm: For Superlattice Model on Three Dimensional Photonic Crystals." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/9cjrvg.

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碩士<br>國立交通大學<br>應用數學系數學建模與科學計算碩士班<br>107<br>Photonic crystals are one of the important studies in modern science. A photonic crystal is a structure which is periodically arranged by the media of different refractive indices. Because permittivity is periodic in space, a periodic change of the spatial refractive index is caused so that the dispersion relationship of the light wave will appear as a band structure, which is the photonic band structure. People try to control photon motion through photonic crystals. We have been able to calculate 14 Bravais lattices through the Fast Algorithm for Ma

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31

Liao, chi yang, and 廖繼揚. "Three-Dimensional Angular-Resolved Optical properties of Triangular Photonic Crystals." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/09886151766950833761.

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碩士<br>逢甲大學<br>光電學系<br>101<br>Photonic crystals are periodic dielectric structures, featuring the ability to change the electromagnetic mode distribution. In this thesis, we investigate the effect of incorporating photonic crystal structures in the photonic devices, especially for solar cells and light-emitting diodes. We employed the plane-wave expansion method to study the optical properties of gallium arsenide (GaAs) containing circular air columns arranged in triangular lattice. The three-dimensional angular gap map, angular band structure, and angular density of states were calculated in o

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32

Tobias, John M. "Experimental studies of wave propagation in three-dimensional photonic crystals." Thesis, 2002. http://library1.njit.edu/etd/fromwebvoyage.cfm?id=njit-etd2002-056.

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33

Morris, Melody Ann. "Three-Dimensional Self-Assembly of Brush Block Copolymers to Photonic Crystals." Thesis, 2013. https://thesis.library.caltech.edu/7903/48/Thesis.pdf.

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The development of Ring Opening Metathesis Polymerization has allowed the world of block copolymers to expand into brush block copolymers. Brush block copolymers consist of a polymer backbone with polymeric side chains, forcing the backbone to hold a stretched conformation and giving it a worm-like shape. These brush block copolymers have a number of advantages over tradition block copolymers, including faster self-assembly behavior, larger domain sizes, and much less entanglement. This makes them an ideal candidate in the development of a bottom-up approach to forming photonic crystals. Photo

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34

Chuang, Kun-Shian, and 莊坤憲. "Projective Lanczos Method Solve Eigenvalue Problem of Three Dimensional Photonic Crystals." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/35254157195694002216.

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碩士<br>國立臺灣大學<br>數學研究所<br>101<br>To solve large-scale eigenvalue problems often require a lot of time, especially in the iterative process, the matrix-vector multiplication accounted for most of the time.In this thesis, our problem is from the three dimension photonic crystals of Maxwell’s equa- tion which is diamond structure.From previous studies in the question, we know that the dimension of null space, and then we will develop a new method for this problem. The purpose is that the original problem is projected to the non-zero invariant space, and us- ing FFT to quickly converge to the non-z

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35

Chou, Yi-Fang, and 周依芳. "Fabrication and studies of three-dimensional photonic crystals based on polymer-dispersed liquid crystal films." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/17413252963763536289.

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碩士<br>國立成功大學<br>光電科學與工程研究所<br>97<br>This thesis studies three-dimensional (3D) photonic crystal (PC) and quasi photonic crystal (QPC) based on polymer dispersed liquid crystal (PDLC) films using two-beam interference with multi-exposures. Such a method simplifies the experimental setup in comparison with conventional holographic approach, and allows us to fabricate a large area (1x1 cm2) PC. Experimentally, one beam is incident normally onto the PDLC film, and the other beam is incident at an angle of 38.9°. Two beams are overlapped at the sample. Three and five exposures are made to fabricate

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36

Lee, Jae-Hwang. "Soft-lithographical fabrication of three-dimensional photonic crystals in the optical regime /." 2006.

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37

Tetreault, Nicolas. "Chemical vapor deposition in three-dimensional photonic crystals: From perfection to imperfection." 2005. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=478816&T=F.

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38

Chang, Chih-sheng, and 張智盛. "Modified Spontaneous Emission of Active Medium in Quasi-Three-Dimensional Photonic Crystals." Thesis, 2011. http://ndltd.ncl.edu.tw/handle/08790223058365747288.

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碩士<br>逢甲大學<br>光電研究所<br>100<br>According to the Purcell''s effect, the introduction of photonic crystal (PhC) structures will change the electromagnetic mode distribution and affect the spontaneous emission of active medium. This phenomenon can be approached by the study of the local density of states (LDOS). In this thesis, we aim at the quasi-3D photonic crystals in which the dielectric distributions possess two-dimensional periodicity but light is allowed to propagate off-plane. We employ the plane-wave expansion method together with a dipole model to calculate the LDOS of hexagona

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39

Yu, Sheng-Hung, and 余昇鴻. "Band Gap Analysis and Light Propagation Properties of Three Dimensional Photonic Crystals." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/91855575495625356106.

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碩士<br>國立臺灣大學<br>應用力學研究所<br>94<br>The purposes of this thesis are two fold. First, the band structure of three-dimensional photonic crystal slab is investigated. By using plane wave expansion method, we calculate the band structure of the three-dimensional photonic crystal slab in a triangular array with the dielectric or air rods. Changing the thickness of the slab, the background material and the radius of the dielectric or air rods control the bandwidth at the central frequency of the photonic band gap. Second, removing one row of rods can create a photonic crystal waveguide. The light wave

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40

Tsai, Hsin-Han, and 蔡欣翰. "A Scalable and Ultrafast Eigensolver for Three Dimensional Photonic Crystals on GPU." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/8t2t6j.

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碩士<br>國立臺灣師範大學<br>數學系<br>105<br>This research applies parallel computations on a GPU by CUDA for solving three dimensional Maxwell's equation with face-centered cubic (FCC) lattice. We focus on how to solve an Eigenvalue Problem more efficiently. Because of the problem we solved is Hermitian and positive definite. The algorithm of the solver is based on inverse Lanczos method for eigenvalue problems and associated conjugate gradient method for linear systems. By using cuBLAS, cuFFT, combining kernels, transpose multiple matrices simultaneously, and some skills, we can save time from computati

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41

Chien, Yu-Hsuan, and 簡玉宣. "Variation of Band Structures of Three-Dimensional Photonic Crystals with Chiral Model." Thesis, 2018. http://ndltd.ncl.edu.tw/handle/zpb87t.

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42

Cheung, Iva Wai-Yun. "Resonant scattering from three-dimensional optical microcavities formed in two-dimensional waveguide-based photonic crystals." Thesis, 2004. http://hdl.handle.net/2429/16311.

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Reflectivity properties of indium phosphide-(InP-)based two dimensional (2D) photonic crystals and photonic crystal microcavities were studied via optical experimentation and numerical simulations. Planar InP waveguides textured with a hexagonal array of air holes were studied with a specular white-light reflectivity apparatus. Their reflectivity as a function of wavenumber. as measured at different incident angles with an FTIR spectrometer, was compared to the results of computer simulations of the structure, based on a Green's function model. The simulation fits were used to determine salien

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43

Thiel, Michael [Verfasser]. "Design, fabrication and characterization of three-dimensional chiral photonic crystals / von Michael Thiel." 2010. http://d-nb.info/1000400999/34.

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44

Xu, Mingjie. "Direct-write assembly of three-dimensional polyelectrolyte scaffolds, inorganic hybrids, and photonic crystals /." 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3290438.

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Thesis (Ph. D.)--University of Illinois at Urbana-Champaign, 2007.<br>Source: Dissertation Abstracts International, Volume: 68-11, Section: B, page: 7610. Adviser: Jennifer A. Lewis. Includes bibliographical references. Available on microfilm from Pro Quest Information and Learning.

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Whang, Wei-Cheng, and 張瑋誠. "Two-level Orthogonalization Arnoldi Method for Three Dimensional Drude Dispersive Metallic Photonic Crystals." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/hw6gvn.

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碩士<br>國立交通大學<br>應用數學系數學建模與科學計算碩士班<br>105<br>In this thesis, we study the band structure of the Drude Dispersive Metallic Photonic Crystals. First, we discretize the problem to a cubic polynomial eigenvalue problem by Yee’s scheme , and rewrite a equivalent standard eigenvalue problem by linearized techniques. Next, due to the special matrix structure of linearized polynomial eigenvalue problem, we use the two-level orthogonalization Arnoldi (TOAR) method for solving the problem to reduce memory. Moreover, in order to enhance the computational performance of TOAR, we use the Fast Fourier Transf

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46

Hermann, Christian [Verfasser]. "Three dimensional finite difference time domain simulations of photonic crystals / von Christian Hermann." 2004. http://d-nb.info/972337784/34.

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47

Tsai, Hsin-Yun, and 蔡欣芸. "Fabrication and Analysis of Two- and Three-dimensional GaAs Photonic Crystals and Their Waveguide Structures." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/52011966684090698150.

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碩士<br>國立臺灣大學<br>光電工程學研究所<br>94<br>In some materials with periodic variation of dielectric constants and light within a certain frequency range shows exponential decay due to destructive interference and cannot propagate. This phenomenon is called photonic bandgap and this kind of structures is called photonic crystals. In this work, we fabricated two- and three-dimensional photonic crystals and their waveguide structures. In two-dimensional photonic crystal study, air-bridge type photonic crystals have been fabricated. We demonstrate that there is a photonic bandgap from 900nm to 940nm. Light

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Le, Chi-Her, and 李騏合. "Finite-Difference Time-Domain Modeling of Three-Dimensional Metallic Photonic Crystals and Surface Plasmon Phenomena." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/42898308820786321839.

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碩士<br>國立臺灣大學<br>光電工程學研究所<br>93<br>The electromagnetic phenomena and applications of periodic metallic structure are studied with the finite difference time domain method. Three dimensional tungsten woodpile structures has potential to luminesce efficiently. The transmission spectrums of the photonic crystals are obtained. The structures has band gap in the infrared region in which most electromagnetic wave in the infrared region is reflected and absorbed more in the band edge by tungsten. Only electromagnetic wave in visible region can pass through. Using silver as the gratings and electric fi

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49

Li, Wei-De, and 李威德. "Eigenvalue Problems of Discrete Curl Operators on Various Lattices for Simulating Three Dimensional Photonic Crystals." Thesis, 2017. http://ndltd.ncl.edu.tw/handle/um39q2.

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博士<br>國立清華大學<br>數學系所<br>106<br>Photonic crystal is one of the most important materials in optoelectronics technology, it is made up of periodic dielectrics and imitates the arrangement of atoms in the crystal. The basic optical property of a photonic crystal is band gap, it is necessary to use the numerical method when computing the band gap. The propagation behavior of electromagnetic waves in photonic crystals is governed by Maxwell's equations, applying the time harmonic assumption, the governing equations will become a time-independent frequency domain problem. There are many numerical met

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Pan, Kuei-Yu, and 潘奎伃. "On the Structure-preserving Methods for Gyroscopic Quadratic Eigenproblems arising from Three Dimensional Photonic Crystals." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/m43jv6.

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碩士<br>國立交通大學<br>應用數學系所<br>107<br>The main research of this paper is to solve the feature pairs of eigenvalue problems by using the structure-preserving algorithm and find out the band structure of photonic crystals. This method is not the same as the general solution band structure, and the problem will be viewed from another angle, it can be applied to a frequency-dependent photonic crystal. Starting from Maxwell’s equation, the dispersion problem is transformed into a quadratic spectrum problem using the dispersion relation. The corresponding spectral parameters are also converted from the f

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