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SUMMARY:Eigenvalues in electromagnetic inverse scattering - Peter Monk (Un
 iversity of Delaware)
DTSTART:20260416T104500Z
DTEND:20260416T114500Z
UID:TALK244015@talks.cam.ac.uk
DESCRIPTION:In this presentation I will review several types of eigenvalue
 s that have been discussed in inverse electromagnetic scattering theory.&n
 bsp\; The most fundamental\, transmission eigenvalues\, were first discuss
 ed for the Helmholtz equation in the mid 1980s.&nbsp\; They resisted mathe
 matical analysis until 1990\, and have since been linked to non-scattering
  wave numbers and target signatures for inverse problems.&nbsp\; In princi
 ple these eigenvalues can be detected from multi-frequency\, multistatic\,
 far field scattering.\nTo avoid the need for multi-frequency data\, a new 
 class of eigenvalues called modified transmission eigenvalues was suggeste
 d\, an example being Steklov eigenvalues which I will present.&nbsp\; The 
 talk will end with a discussion of eigenvalues that can be used to study t
 hin scatterers made of meta-materials that can exhibit anisotropic surface
  impedance.
LOCATION:Seminar Room 1\, Newton Institute
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