Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/electromagnetic-scattering-by-cylindrical-orthotropic-waveguide-irises-HO09WuPTO7
References (31)
-
H. Triebel (1978)
Interpolation Theory, Function Spaces, Differential Operators -
C. Müller (1951)
Über die Beugung elektromagnetischer Schwingungen an endlichen homogenen KörpernMathematische Annalen, 123
-
N. Don, A. Kirilenko, L. Mospan (2005)
Multi-slot iris in circular waveguide2005 5th International Conference on Antenna Theory and Techniques
-
(1986)
Monotonicity properties of variational integrals -
J. Nédélec (2001)
Acoustic and Electromagnetic Equations : Integral Representations for Harmonic Problems -
(1995)
Interpolation Theory -
R. Duduchava, F. Speck (1993)
Pseudodifferential Operators on Compact Manifolds with Lipschitz BoundaryMathematische Nachrichten, 160
-
Vectoer potentials in three dimensional non - smooth domains -
N. Garofalo, F. Lin (1986)
Monotonicity properties of variational integrals, ap weights and unique continuationIndiana University Mathematics Journal, 35
-
J. Nédélec (2001)
Acoustic and electromagnetic equations -
D. Colton, R. Kress (1983)
Integral equation methods in scattering theory -
S. Silver (1949)
Microwave antenna theory and design -
G. Eskin (2008)
Boundary Value Problems for Elliptic Pseudodifferential Equations -
M. Costabel (1990)
A remark on the regularity of solutions of Maxwell's equations on Lipschitz domainsMathematical Methods in The Applied Sciences, 12
-
(1990)
Pseudo-differential operators on compact manifolds with Lipschitz boundary, Math. Nach -
N. Garofalo, F. Lin (1987)
Unique continuation for elliptic operators: A geometric‐variational approachCommunications on Pure and Applied Mathematics, 40
-
C. Amrouche, C. Bernardi, M. Dauge, V. Girault (1998)
Vector potentials in three-dimensional non-smooth domainsMathematical Methods in The Applied Sciences, 21
-
S. Mikhlin, S. Prössdorf (1987)
Singular Integral Operators -
L. Hörmander (1990)
The analysis of linear partial differential operators -
(1998)
Vectoer potentials in three dimensional non-smooth domains, Math -
(1965)
A new general method of investigating linear operator equations of singular integral equation type -
D. Jones (1979)
Methods in electromagnetic wave propagation -
T. Buchukuri, R. Duduchava, L. Sigua (2007)
On interaction of electromagnetic waves with infinite bianisotropic layered slabMathematische Nachrichten, 280
-
R. Duduchava (2001)
The Green formula and layer potentialsIntegral Equations and Operator Theory, 41
-
(1965)
A new general method of investigating linear operator equations of the type of singular integral equations I-II -
V. Girault, P. Raviart (1986)
Finite Element Methods for Navier-Stokes Equations - Theory and Algorithms, 5
-
(2001)
Acoustic scattering: Specific theoretical tools -
(2001)
Acoustinc scattering: Specific theoretical tools -
(1990)
Boundary value problems of the mathematical theory of cracks -
N. Aronszajn, A. Krzywicki, J. Szarski (1962)
A unique continuation theorem for exterior differential forms on Riemannian manifoldsArkiv för Matematik, 4
-
(1983)
Integral Equation Min Scattering Theory
- Publisher
- de Gruyter
- Copyright
- ©© de Gruyter 2011
- ISSN
- 1072-947X
- eISSN
- 1072-9176
- DOI
- 10.1515/GMJ.2011.0009
- Publisher site
- See Article on Publisher Site
Abstract
The paper is devoted to the mathematical analysis of scattered time-harmonic electromagnetic waves by an infinitely long cylindrical orthotropic waveguide iris. This is modeled by an orthotropic Maxwell system in a cylindrical waveguide iris for plane waves propagating in the x 3 -direction, imbedded in an isotropic infinite medium. The problem is equivalently reduced to a 2-dimensional boundary-contact problem with the operator div M grad++ k 2 inside the domain and the (Helmholtz) operator ΔΔ++ k 2 == div grad++ k 2 outside the domain. Here M is a 2 ×× 2 positive definite, symmetric matrix with constant, real valued entries. The unique solvability of the appropriate boundary value problems is proved and the regularity of solutions is established in Bessel potential spaces.
Journal
Georgian Mathematical Journal – de Gruyter
Published: Mar 1, 2011
Keywords: Maxwell's system; orthotropic waveguide; Helmholtz's equation; uniqueness; existence; potential theory; boundary pseudodifferential equation