Spherical wave operators and the translation formulas
Abstract
Translation formulas for both scalar and vector spherical wave solutions of the Helmholtz equation are developed in a straightforward manner using differential operator representations for the modal functions and well-known expressions for the scalar and dyadic free-space Green's functions. The expansion coefficients are given in compact integral or differential operator forms useful for analytic investigation.
- Publication:
-
IEEE Transactions on Antennas and Propagation
- Pub Date:
- August 1988
- DOI:
- 10.1109/8.7220
- Bibcode:
- 1988ITAP...36.1078W
- Keywords:
-
- Helmholtz Equations;
- Spherical Waves;
- Wave Functions;
- Dyadics;
- Green'S Functions;
- Operators (Mathematics);
- Physics (General)