An inverse problem for scattering by a doubly periodic structure

Transactions of the American Mathematical Society

Volumn 350, Issue 10, 1998, Pages 4089-4103

  Bao, Gang ^a   Zhou, Zhengfang ^b  

^a UNIVERSITY OF FLORIDA   (United States)

^b MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Estimation of eigenvalues; Scattering by doubly periodic structures; Uniqueness and stability for an inverse diffraction problem

Indexed keywords

EID: 22444454176     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-98-02227-2     Document Type: Article

References (12)

1. T. Abboud, Formulation variationnelle des équations de Maxwell dans un réseau bipéiodique de R3, C. R. Acad. Sei. Paris, Série I, t. 317 (1993), 245-248. MR 94f:78002
2. T. Abboud and J. C. Nédélec, Electromagnetic waves in an inhomogeneous medium, J. Math. Anal. Appl. 164 (1992), 40-58. MR 93a:78005
3. H. Ammari, Théorèmes d'unicité pour un problème inverse dans une structure Apériodique, C. R. Acad. Sei. Paris, Série I, t. 320 (1995), 815-820. MR 96a:78007
4. G. Bao, A uniqueness theorem for an inverse problem in periodic diffractive optics, Inverse Problems 10 (1994), 335-340. MR 95c:352G3
5. G. Bao, Variational approximation of Maxwell's equations in biperiodic structures, SIAM J Appl. Math. 57 (1997), 364-381. MR 97m:G5199
6. G. Bao and A. Friedman, Inverse problems for scattering by periodic structures, Arch. Rational Mech. Anal. 132 (1995), 49-72. MR 96i:35131
7. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory, SpringerVerlag, N.Y., 1992. MR 93j:35124
8. D. Dobson, A variational method for electromagnetic diffraction in biperiodic structures, RAIRO Model. Math. Anal. Numér., 28 (1994), 419-439. MR 95m:78017
9. D. Dobson and A. Friedman, The time-harmonic Maxwell equations in a doubly periodic structure, J. Math. Anal. Appl., 166 (1992), 507-528. MR 92m:78015
10. V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations, SpringerVerlag, New York, 1986. MR 88b:65129
11. L. E. Payne and H. F. Weinberger, An optimal Poincaré inequality for convex domains, Arch. Rat. Mech. Anal. 5 (1960), 286-292. MR 22:8198
12. Electromagnetic Theory of Gratings, Topics in Current Physics, Vol. 22, edited by R. Petit, Springer-Verlag, Heidelberg, 1980. MR 82a:78001