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A time domain vector finite element ...

University of California, Davis.

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A time domain vector finite element method for the full wave simulation of nonlinear photonic devices.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A time domain vector finite element method for the full wave simulation of nonlinear photonic devices./
Author:	Fisher, Aaron C.
Description:	86 p.
Notes:	Adviser: Garry Rodrigue.
Contained By:	Dissertation Abstracts International68-04B.
Subject:	Physics, Electricity and Magnetism. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261152

A time domain vector finite element method for the full wave simulation of nonlinear photonic devices.
Fisher, Aaron C.

A time domain vector finite element method for the full wave simulation of nonlinear photonic devices. - 86 p.

Adviser: Garry Rodrigue.

Thesis (Ph.D.)--University of California, Davis, 2007.

We have developed a mixed Vector Finite Element Method (VFEM) for Maxwell's equations with third order polarization terms. The method allows for discretization of complicated device geometries with arbitrary order representations of the B and E fields, and up to 4th order accurate time discretization. Additionally we have implemented a series of computational optimizations that significantly increase the scale of simulations that can be performed with this method. Among these optimizations is a new generalized mass lumping method that we developed which reduces the computational cost of the finite element system solve by a factor of 10x.Subjects--Topical Terms:

1019535
Physics, Electricity and Magnetism.

A time domain vector finite element method for the full wave simulation of nonlinear photonic devices.
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008 100804s2007 ||||||||||||||||| ||eng d
035 $a (UMI)AAI3261152
035 $a AAI3261152
040 $a UMI $c UMI
100 1 $a Fisher, Aaron C. $3 1036155
245 1 2 $a A time domain vector finite element method for the full wave simulation of nonlinear photonic devices.
300 $a 86 p.
500 $a Adviser: Garry Rodrigue.
500 $a Source: Dissertation Abstracts International, Volume: 68-04, Section: B, page: 2415.
502 $a Thesis (Ph.D.)--University of California, Davis, 2007.
520 $a We have developed a mixed Vector Finite Element Method (VFEM) for Maxwell's equations with third order polarization terms. The method allows for discretization of complicated device geometries with arbitrary order representations of the B and E fields, and up to 4th order accurate time discretization. Additionally we have implemented a series of computational optimizations that significantly increase the scale of simulations that can be performed with this method. Among these optimizations is a new generalized mass lumping method that we developed which reduces the computational cost of the finite element system solve by a factor of 10x.
520 $a In this dissertation we will present the Vector Finite Element Method, and the computational optimizations that we employed. Additionally, we will present a series of analyses and simulations that were performed to validate the method. Finally, we will present some production runs using this method, including nonlinear mode mixing in waveguides and supercontinuum generation in a photonic crystal fiber.
590 $a School code: 0029.
650 4 $a Physics, Electricity and Magnetism. $3 1019535
690 $a 0607
710 2 $a University of California, Davis. $3 1018682
773 0 $t Dissertation Abstracts International $g 68-04B.
790 $a 0029
790 1 0 $a Rodrigue, Garry, $e advisor
791 $a Ph.D.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3261152