Journal ArticleDOI
Three-dimensional analysis of subwavelength diffractive optical elements with the finite-difference time-domain method.
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Three-dimensional analysis of subwavelength diffractive optical elements (DOE's) using the finite-difference time-domain (FDTD) method is presented, and efficient 3D FDTD methods that exploit DOE properties, such as symmetry, are applied.Abstract:
We present a three-dimensional (3D) analysis of subwavelength diffractive optical elements (DOE’s), using the finite-difference time-domain (FDTD) method. To this end we develop and apply efficient 3D FDTD methods that exploit DOE properties, such as symmetry. An axisymmetric method is validated experimentally and is used to validate the more general 3D method. Analyses of subwavelength gratings and lenses, both with and without rotational symmetry, are presented in addition to a 2 × 2 subwavelength focusing array generator.read more
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Electromagnetic analysis of axially symmetric diffractive optical elements illuminated by oblique incident plane waves.
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References
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Journal ArticleDOI
Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
Abstract: Maxwell's equations are replaced by a set of finite difference equations. It is shown that if one chooses the field points appropriately, the set of finite difference equations is applicable for a boundary condition involving perfectly conducting surfaces. An example is given of the scattering of an electromagnetic pulse by a perfectly conducting cylinder.
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A perfectly matched layer for the absorption of electromagnetic waves
TL;DR: Numerical experiments and numerical comparisons show that the PML technique works better than the others in all cases; using it allows to obtain a higher accuracy in some problems and a release of computational requirements in some others.
Book
The Finite Difference Time Domain Method for Electromagnetics
Karl S. Kunz,Raymond J. Luebbers +1 more
TL;DR: In this paper, the authors define the fundamental concepts of scattered field FDTD and its application in a wide range of applications including: Coupling Effects Coupling effects Waveguide Aperture Coupling Lossy Dielectric Scattering Special Capabilities Far Zone Transformation Frequency Dependent Materials Surface Impedance Subcellular Extensions Nonlinear Loads and Materials Visualization Advanced Applications Far Zone Scattering Antennas Gyrotropic Media Mathematical Basis of FDTD, and Alternate Methods Difference Equations in General Stability, Dispersion, Accuracy Outer Radiation Boundary Conditions Alternate Formulations
Journal ArticleDOI
Analysis and applications of optical diffraction by gratings
Thomas K. Gaylord,M. G. Moharam +1 more
TL;DR: In this article, an exact formulation of the grating diffraction problem without approximations is presented, using a series of fundamental assumptions, which reduces to the various existing approximate theories in the appropriate limits.
Journal ArticleDOI
A frequency-dependent finite-difference time-domain formulation for dispersive materials
TL;DR: In this paper, the traditional finite difference time domain (FDTD) formulation is extended to include a discrete time-domain convolution, which is efficiently evaluated using recursion, and the accuracy of the extension is demonstrated by computing the reflection coefficient at an air-water interface over a wide frequency band including the effects of the frequency-dependent permittivity of water.
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