scholarly journals An inverse problem for Maxwell's equations in a uniaxially anisotropic medium

2017 ◽  
Vol 456 (2) ◽  
pp. 1415-1441
Author(s):  
Yunxia Shang ◽  
Lixia Zhao ◽  
Shumin Li ◽  
Wuqing Ning
Keyword(s):  
Inverse Problem ◽  
Anisotropic Medium ◽  
Maxwell’S Equations ◽  
Maxwell's Equations

scholarly journals A UNIQUENESS THEOREM FOR AN INVERSE ELECTROMAGNETIC SCATTERING PROBLEM IN INHOMOGENEOUS ANISOTROPIC MEDIA

2003 ◽  
Vol 46 (2) ◽  
pp. 293-314 ◽  
Author(s):  
Fioralba Cakoni ◽  
David Colton
Keyword(s):  
Anisotropic Medium ◽  
Electromagnetic Scattering ◽  
Maxwell’S Equations ◽  
Maxwell's Equations ◽  
Scattering Problem ◽  
Plane Waves ◽  
Field Patterns ◽  
Regularity Properties ◽  
Time Harmonic ◽  
Secondary 35P25

AbstractWe show that the support of a (possibly) coated anisotropic medium is uniquely determined by the electric far-field patterns corresponding to incident time-harmonic electromagnetic plane waves with arbitrary polarization and direction. Our proof avoids the use of a fundamental solution to Maxwell’s equations in an anisotropic medium and instead relies on the well-posedness and regularity properties of solutions to an interior transmission problem for Maxwell’s equations.AMS 2000 Mathematics subject classification: Primary 35R30; 35Q60. Secondary 35P25; 78A45

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