Simple plane wave implementation for photonic crystal calculations
Shangping Guo,Sacharia Albin +1 more
TLDR
A simple implementation of plane wave method for modeling photonic crystals with arbitrary shaped 'atoms' shows that using analytical Fourier transform when available can improve accuracy and avoid the grid resolution iteration.Abstract:
A simple implementation of plane wave method is presented for modeling photonic crystals with arbitrary shaped ‘atoms’ The Fourier transform for a single ‘atom’ is first calculated either by analytical Fourier transform or numerical FFT, then the shift property is used to obtain the Fourier transform for any arbitrary supercell consisting of a finite number of ‘atoms’ To ensure accurate results, generally, two iterating processes including the plane wave iteration and grid resolution iteration must converge Analysis shows that using analytical Fourier transform when available can improve accuracy and avoid the grid resolution iteration It converges to the accurate results quickly using a small number of plane waves Coordinate conversion is used to treat non-orthogonal unit cell with non-regular ‘atom’ and then is treated by standard numerical FFT MATLAB source code for the implementation requires about less than 150 statements, and is freely available at http://wwwlionsoduedu/~sguox002read more
Citations
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Journal ArticleDOI
Binary bat algorithm
TL;DR: The proposed binary bat algorithm (BBA) is able to significantly outperform others on majority of the benchmark functions and there is a real application of the proposed method in optical engineering called optical buffer design that evidence the superior performance of BBA in practice.
Journal ArticleDOI
PlaneWave Admittance Method — a novel approach for determining the electromagnetic modes in photonic structures
TL;DR: A novel approach for determining the electromagnetic modes of photonic multilayer structures is presented which combines the plane wave expansion method with the method of lines resulting in a fast and accurate computational technique which is named plane wave admittance method.
Journal ArticleDOI
Graded index photonic crystals.
Hamza Kurt,David S. Citrin +1 more
TL;DR: Numerical results obtained by the finite-difference time-domain and planewave expansion methods validate the application of Gaussian optics within a range of parameters where close agreement between them are observed.
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Annular photonic crystals.
Hamza Kurt,David S. Citrin +1 more
TL;DR: A new type of two-dimensional photonic-crystal structure called annular PC composed of a dielectric-rod and a circular-air-hole array in a square or triangular lattice that preserves the symmetry of the structure and provides a complete photonic band gap away from the close-packed condition and at low normalized frequencies.
References
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Book
Mathematical Methods for Physicists
TL;DR: In this article, the authors present a model for vector analysis based on the Calculus of Variations and the Sturm-Liouville theory, which includes the following: Curved Coordinates, Tensors.
Journal ArticleDOI
Block-iterative frequency-domain methods for Maxwell’s equations in a planewave basis
TL;DR: A fully-vectorial, three-dimensional algorithm to compute the definite-frequency eigenstates of Maxwell's equations in arbitrary periodic dielectric structures, including systems with anisotropy or magnetic materials, using preconditioned block-iterative eigensolvers in a planewave basis is described.
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Existence of a Photonic Gap in Periodic Dielectric Structures
TL;DR: It is determined that dielectric spheres arranged in the diamond structure do possess a full photonic band gap, and this gap exists for refractive-index contrasts as low as 2.5%.
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Refraction and geometry in Maxwell's equations
A. J. Ward,John B. Pendry +1 more
TL;DR: In this article, it was shown that moving to a general co-ordinate transformation is equivalent to renormalizing e and μ, which is an huge simplification because now we need only write one computer code in a Cartesian system, and we can use this same code to handle any coordinate system by adjusting the e and µ we feed into the calculation.
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Microcavities in photonic crystals : mode symmetry, tunability, and coupling efficiency
TL;DR: The properties of resonant modes which arise from the introduction of local defects in two-dimensional ~2D! and 3D photonic crystals are investigated and it is shown that the properties of these modes can be controlled by simply changing the nature and size of the defects.