An Electromagnetic Analysis and Simulation of Scattering Problems and Diffractive Optical Elements
Date Issued
2005
Date
2005
Author(s)
Hsu, Chei-Chen
DOI
en-US
Abstract
The purpose of this study is to solve scattering problems where
there is a complicated shape scatter interacting with incident
electromagnetic wave in an infinite spatial domain. The method can
be applied to analyze electromagnetic problems with material
containing discontinuous refractive indices. Employing the domain
decomposition, one can divide the whole computational domain into
several sub-domains, particularly at the interfaces of
discontinuous refractive indices. The electromagnetic fields in
each sub-domain can be expanded in terms of Legendre polynomial as
basis functions and at the boundary interface between different
regions, the characteristics are constructed and employed to
establish the penalty terms which are closely related to the
stability and flexibility of the method. Application to scattering
by a perfectly conducting and electric circular cylinder has been
carried out and compared with solution from field equivalent
principle. Extensions to more complicated geometries such as
perfectly electric square cylinder conductor and conducting with
dielectric layer where no analytical solution is available are
also simulated. Applications of the pseudospectral penalty method
to more practical optoelectronic devices such as diffractive optic
elements including diffractive optical waveguide and diffractive
optical lens are computed. All the present results are in good
agreement with available data in the literatures. With all the
results obtained, it can be concluded that the present
multi-domain pseudospectral penalty method in time domain provides
an alternative simulation method to the finite difference time
domain method for the electromagnetic wave propagation problems.
Although, the present work is restricted to two-dimensional
Maxwell equations, the extension to three-dimensional problems is
of no conceptual difficulty and will be the subject of future
work.
Subjects
電磁散射問題
繞射光學元件
Electromagnetic Scattering Problems
Diffractive Optical Elements
Type
thesis
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