A complete description of the linear sampling method for electromagnetic waves, important for those researching inverse electromagnetic scattering theory.
... we have by the Cartwright–Levinson theorem that in addition to the infinite set of positive zeros there exist an infinite ... Then the transmission eigenvalue problem is Δw + k ( 2 n1(r)+ i n2k(r) ) w = 0, 0 ≤ |x| < 1, Δv +k2v = 0, ...
[27] Colton, D., and Kirsch, A.: Karp's theorem in acoustic scattering theory. Proc. Amer. Math. Soc. 103,783–788 (1988). [28] Colton, D., and Kirsch, A.: An approximation problem in inverse scattering theory.
This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous ...
A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, ...
This qualitative approach (the linear sampling method, the factorization method, the theory of transmission eigenvalues, etc.) is the theme of Inverse Scattering Theory and Transmission Eigenvalues.
One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field.
One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field.
6 Agarwal, K., Chen, X., and Zhong, Y. (2010) A multipole-expansion based linear sampling method for solving inverse scattering problems. Opt. Express, 18 (6), 6366–6381. 7 Cakoni, F. and Colton, D.L. (2014) A qualitative approach to ...
Brignone M, Bozza G, Aramini R, Pastorino M, Piana M (2009) A fully no-sampling formulation of the linear sampling method for three- dimensional inverse electromagnetic scattering problems. Inverse Prob 25:015014 21.
To answer this fundamental problem in mathematics and physics, this book leads the reader to the frontier of inverse scattering theory for electromagnetism.The first three chapters, written comprehensively, can be used as a textbook for ...