Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 1-17.


New Reflection Principles for Maxwell's Equations and Their Applications

Hongyu Liu 1, Masahiro Yamamoto 2, Jun Zou 3*

1 Department of Mathematics, University of Washington, Box 354350, Seattle, WA 98195, USA.
2 Department of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo, 153-8914 Japan.
3 Department of Mathematics, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong.

Received 23 May 2008; Accepted (in revised version) 17 October 2008
Abstract

Some new reflection principles for Maxwell's equations are first established, which are then applied to derive two novel identifiability results in inverse electromagnetic obstacle scattering problems with polyhedral scatterers.

AMS subject classifications: 78A46, 35R30, 35P25, 35J05
Key words: Maxwell's equations, reflection principles, inverse electromagnetic scattering, identifiability and uniqueness.
*Corresponding author.
Email: hyliu@math.washington.edu (H. Liu), myama@ms.u-tokyo.ac.jp (M. Yamamoto), zou@math.cuhk.edu.hk (J. Zou)
 

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