Publication

Green's tensor technique for scattering in two-dimensional stratified media

2001
Journal Articles

Abstract

We present an accurate and self-consistent technique for computing the electromagnetic held in scattering structures formed by bodies embedded in a stratified background and extending infinitely in one direction (two-dimensional geometry), With this fully vectorial approach based on the Greens tensor associated with the background, only the embedded scatterers must be discretized, the entire stratified background being accounted for by the Green's tensor. We first derive the formulas for the computation of this dyadic and discuss in detail its physical substance. The utilization of this technique fur the solution of scattering problems in complex structures is then illustrated with tramples from photonic integrated circuits (waveguide grating couplers with varying periodicity).

Official source

https://infoscience.epfl.ch/entities/publication/f9645ae3-d8e5-40da-b38c-e8f2c05a0f18

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2001
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/f9645ae3-d8e5-40da-b38c-e8f2c05a0f18

About this result

Related concepts (32)

Scattering

Scattering is a term used in physics to describe a wide range of physical processes where moving particles or radiation of some form, such as light or sound, are forced to deviate from a straight trajectory by localized non-uniformities (including particles and radiation) in the medium through which they pass. In conventional use, this also includes deviation of reflected radiation from the angle predicted by the law of reflection.

Three-dimensional space

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, the Euclidean n-space of dimension n=3 that models physical space. More general three-dimensional spaces are called 3-manifolds. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space.

Geometry

Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a geometer. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts.

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Green's tensor technique for scattering in two-dimensional stratified media

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