Accurate solution of the Helmholtz equation by Lanczos orthogonalization for media with loss or gain
R. P. Ratowsky, J. A. Fleck, Michael D. Feit
Abstract
R. P. Ratowsky, J. A. Fleck, Michael D. Feit
Abstract
The numerical scheme for solving the Helmholtz equation, based on the Lanczos orthogonalization scheme, is generalized so that it can be applied to media with space-dependent absorption or gain profiles.
OpenAlex reports 15 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The numerical scheme for solving the Helmholtz equation, based on the Lanczos orthogonalization scheme, is generalized so that it can be applied to media with space-dependent absorption or gain profiles.
Key concepts: Lanczos resampling, Orthogonalization, Helmholtz equation, Helmholtz free energy, Optics, Physics, Scheme (mathematics), Space (punctuation)