RECENT DEVELOPMENTS IN THE USE OF COMPLEX SINGULARITIES IN ELECTROMAGNETIC THEORY AND ELASTIC WAVE PROPAGATION11Dedicated to the memory of James M. Wolf, Ph.d., a modern Renaissance man and magnificent friend.

Dolph, C. L.

doi:10.1016/b978-0-12-709650-6.50018-3

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The Singularity Expansion Methods1

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Cited by 8 publications

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“…Also note that, assuming reciprocity for the target, the kernel is symmetric (equals its transpose). The details of SEM are found in many references [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] summarized here. The natural frequencies satisfy ↔ Zt (r s , r s ; s); js α (r s ) = 0…”

Section: The Singularity Expansion Methodsmentioning

confidence: 99%

Discrimination of buried targets via the singularity expansion

Baum

1997

Inverse Problems

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A problem of recent interest is the identification of buried unexploded ordnance (including mines). This paper reviews recent progress in the use of the singularity expansion method for electromagnetic and acoustic/elastodynamic scattering for discriminating the various types (specific models with prescribed shapes and materials). Each type having an aspectindependent set of natural frequencies, these can be used as a set of target signatures in a library. Three different types of such natural frequencies (and associated pole residues) are discussed.

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