Electromagnetic scattering by a homogeneous chiral obstacle: Boundary integral equations and low-chirality approximations

SIAM Journal on Applied Mathematics

Volumn 59, Issue 5, 1999, Pages 1745-1762

  Athanasiadis, C ^a   Martin, P A ^b   Stratis, I G ^a  

^a UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC WAVE TRANSMISSION; INTEGRAL EQUATIONS;

BOUNDARY INTEGRAL EQUATIONS (BIE); STRATTON-CHU REPRESENTATION;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 0033320106     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S003613999833633X     Document Type: Article

References (28)

1. H. AMMARI AND J. C. NÉDÉLEC, Time-harmonic electromagnetic fields in chiral media, in Modern Mathematical Methods in Diffraction Theory and its Applications in Engineering, E. Meister, ed., Methoden und Verfahren der mathematischen Physik 42, Peter Lang, Frankfurt am Main, 1997, pp. 174-202.
2. H. AMMARI AND J. C. NÉDÉLEC, Small chirality behavior of solutions to electromagnetic scattering problems in chiral media, Math. Methods. Appl. Sci., 21 (1998), pp. 327-359.
3. H. AMMARI, M. LAOUADI, AND J.-C. NÉDÉLEC, Low frequency behavior of solutions to electromagnetic scattering problems in chiral media, SIAM J. Appl. Math., 58 (1998), pp. 1022-1042.
4. C. ATHANASIADIS AND I. G. STRATIS, Electromagnetic scattering by a chiral obstacle, IMA J. Appl. Math., 58 (1997). pp. 83-91.
5. C. ATHANASIADIS AND I. G. STRATIS, Low frequency electromagnetic scattering theory for a multi-layered chiral scatterer, Methods Appl. Anal., to appear.
6. S. BASSIRI, Electromagnetic waves in chiral media, in Recent Advances in Electromagnetic Theory, H. N. Kritikos, and D. L. Jaggard, eds., Springer, New York, 1990, pp. 1-30.
7. C. F. BOHREN, Light scattering by an optically active sphere, Chemical Phys. Lett., 29 (1974), pp. 458-462.
8. J. C. CHAO, Y. J. LIU, F. J. RIZZO, P. A. MARTIN, AND L. UDPA, Regularized integral equations and curvilinear boundary elements for electromagnetic wave scattering in three dimensions, IEEE Trans. Antennas and Propagation, AP-43 (1995), pp. 1416-1422.
9. W. C. CHEW, Waves and Fields in Inhomogeneous Media, IEEE Press, New York, 1995.
10. D. COLTON AND R. KRESS, Integral Equation Methods in Scattering Theory, John Wiley, New York, 1983.
11. M. GARDNER, The New Ambidextrous Universe, 3rd ed., W. H. Freeman, New York, 1990.
12. R. F. HARRINGTON, Boundary integral formulations for homogeneous material bodies, J. Electromagnet. Waves Appl., 3 (1989), pp. 1-15.
13. D. S. JONES, Methods in Electromagnetic Wave Propagation, 2nd ed., Clarendon Press, Oxford, U.K., 1994.
14. R. E. KLEINMAN AND P. A. MARTIN, On single integral equations for the transmission problem of acoustics, SIAM J. Appl. Math., 48 (1988). pp. 307-325.
15. A. LAKHTAKIA, Beltrami Fields in Chiral Media, World Scientific, Singapore, 1994.
16. A. LAKHTAKIA, V. K. VARADAN, AND V. V. VARADAN, Time-harmonic Electromagnetic Fields in Chiral Media, Lecture Notes in Phys. 335, Springer, Berlin, 1989.
17. A. LAKHTAKIA, V. K. VARADAN, AND V. V. VARADAN, Surface integral equations for scattering by PEC scatterers in isotropic chiral media, Internat. J. Engrg. Sci., 29 (1991), pp. 179-185.
18. I. V. LINDELL, Exact image theory for vertical electromagnetic sources above a slightly chiral half space, J. Electromagnet. Waves Appl., 10 (1996), pp. 1583-1594.
19. I. V. LINDELL, A. H. SIHVOLA, S. A. TRETYAKOV, AND A. J. VIITANEN, Electromagnetic Waves in Chiral and Bi-isotropic Media, Artech House, Boston, 1994.
20. P. A. MARTIN AND P. OLA, Boundary integral equations for the scattering of electromagnetic waves by a homogeneous dielectric obstacle, Proc. Roy. Soc. Edinburgh Sect. A, 123A (1993), pp. 185-208.
21. C. MÜLLER, Foundations of the Mathematical Theory of Electromagnetic Waves, Springer, Berlin, 1969.
22. G. NEAVE, A uniquely solvable integral equation for the exterior electromagnetic scattering problem, Quart. J. Mech. Appl. Math., 40 (1987), pp. 57-70.
23. P. OLA, Boundary integral equations for the scattering of electromagnetic waves by a homogeneous chiral obstacle, J. Math. Phys., 35 (1994), pp. 3969-3980.
24. R. G. ROJAS, Integral equations for the scattering by a three-dimensional inhomogeneous chiral body, J. Electromagnet. Waves Appl., 6 (1992), pp. 733-750.
25. R. G. ROJAS, Integral equations for EM scattering by homogeneous/inhomogeneous two-dimensional chiral bodies, IEEE Proc. Microwaves, Antennas and Propagation, 141 (1994). pp. 385-392.
26. L. H. RUOTANEN AND I. V. LINDELL, Exact image theory for horizontal sources above a slightly chiral half space, J. Electromagnet. Waves Appl., 11 (1997), pp. 1749-1762.
27. C.-T. TAI, Dyadic Green Functions in Electromagnetic Theory. 2nd ed., IEEE Press, New York, 1994.
28. P. WERNER, On the exterior boundary value problem of perfect reflection for stationary electromagnetic wave fields, J. Math. Anal. Appl., 7 (1963) 348-396.