Abstract

Interest in scattering and/or absorption involving three-dimensional penetrable bodies has driven numerous efforts to develop computational methods for such problems. When the object is geometrically and electrically complex, the finite-element method is a logical numerical choice. Helmholtz weak forms have recently been advocated, and computational successes have been achieved with the approach. An overview of the Helmholtz formulation, with particular emphasis on its spurious-mode-resistant properties, some efficient and reliable solution procedures for the algebra that it generates, and an approach to unstructured mesh generation, is presented. As a whole these procedures provide the basis for a methodology for realizing three-dimensional finite-element solutions of Maxwell’s equations in a workstation computing environment. Examples of calculations that demonstrate several important properties of the Helmholtz technique and illustrate the extent to which practical three-dimensional calculations can be accomplished with readily available computing power are shown.

© 1994 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Scattering from complex three-dimensional geometries by a curvilinear hybrid finite-element–integral equation approach

G. E. Antilla and N. G. Alexopoulos
J. Opt. Soc. Am. A 11(4) 1445-1457 (1994)

Computationally efficient finite-difference modal method for the solution of Maxwell’s equations

Igor Semenikhin and Mauro Zanuccoli
J. Opt. Soc. Am. A 30(12) 2531-2538 (2013)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (11)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription