Abstract
The perfectly matched layer (PML) in Cartesian coordinates is equivalent to solving the wave equation or Maxwell's equations in a complex coordinate system. A closed form solutions that exist in the real coordinate system map to solutions in the complex coordinate system. In the complex coordinate system, the boundaries exist in a complex space, providing absorbing boundary conditions. Hence, this transformation provides a new view of PML in the Cartesian coordinates, clearly showing that a mapping to a complex coordinate system does not induce reflections, explaining why PML works near the corner of a simulation region, and when a dielectric interface, or a metallic surface, extends to the edge of a simulation region.
Original language | English (US) |
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Pages (from-to) | 2060-2063 |
Number of pages | 4 |
Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |
Volume | 3 |
State | Published - 1997 |
Event | Proceedings of the 1997 IEEE Antennas and Propagation Society International Symposium. Part 1 (of 4) - Montreal, Can Duration: Jul 13 1997 → Jul 18 1997 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering