Nonlinear hybrid vector finite element method for modeling wave propagation in nonlinear media
Article first published online: 7 DEC 2012
Copyright 1996 by the American Geophysical Union.
Volume 31, Issue 4, pages 913–922, July-August 1996
How to Cite
1996), Nonlinear hybrid vector finite element method for modeling wave propagation in nonlinear media, Radio Sci., 31(4), 913–922, doi:10.1029/96RS01051., and (
- Issue published online: 7 DEC 2012
- Article first published online: 7 DEC 2012
- Manuscript Accepted: 19 MAR 1996
- Manuscript Received: 17 OCT 1995
In this paper a unified computer-aided approach based on the vector finite element method is proposed to study the propagation of optical waves in dielectric nonlinear waveguides. Most of the existing methods are based on the scalar Helmholtz wave equation and cannot adequately describe the vectorial properties of fields in nonlinear optical structures. To take into account vectorial field properties and properties of the medium without limitations, a new nonlinear hybrid vector finite element method based on the vectorial wave equation is developed. Several numerical examples are given to demonstrate the applicability of this method.