A numerical method based on the the method of characteristics for hyperbolic systems
of partial differential equations in four independent variables is developed and used
for solving time domain Maxwell's equations. The method uses the characteristic
hypersurfaces and the characteristic conditions to derive a set of independent equations
relating the electric and magnetic field components on these hypersurfaces. A
discretization scheme is developed to solve for the unknown field components at each
time step. The method retains many of the good features of the original method of
characteristics for hyperbolic systems in two independent variables, such as optimal
time step, good behavior near data discontinuities and the ability to treat general
boundary conditions. The method is exemplified by calculating the time domain
response of a few typical planar interconnect structures to Gaussian and unit step excitations.
Although the general emphasis is on interconnect problems, the method is
applicable to a number of other transient electromagnetic field problems governed by
Maxwell's equations. In addition to the method of characteristics a finite difference
scheme, known in mathematic circles as the modified Richtmyer scheme, is applied
to the time domain solution of Maxwell's equations. Both methods should be useful
for efficient full wave analysis of three dimensional electromagnetic field problems. / Graduation date: 1994
| Identifer | oai:union.ndltd.org:ORGSU/oai:ir.library.oregonstate.edu:1957/35593 |
| Date | 01 October 1993 |
| Creators | Orhanovic, Neven |
| Contributors | Tripathi, Vijai K. |
| Source Sets | Oregon State University |
| Language | en_US |
| Detected Language | English |
| Type | Thesis/Dissertation |
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