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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 17 — Aug. 18, 2008
  • pp: 13203–13217

A note on plane wave diffraction by a perfectly conducting strip in a homogeneous bi-isotropic medium

M. Ayub, M. Ramzan, and A. B. Mann  »View Author Affiliations


Optics Express, Vol. 16, Issue 17, pp. 13203-13217 (2008)
http://dx.doi.org/10.1364/OE.16.013203


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Abstract

We studied the problem of diffraction of an electromagnetic plane wave by a perfectly conducting finite strip in a homogeneous bi-isotropic medium and obtained some improved results which were presented both mathematically and graphically. The problem was solved by using the Wiener-Hopf technique and Fourier transform. The scattered field in the far zone was determined by the method of steepest decent. The significance of present analysis was that it recovered the results when a strip was widened into a half plane.

© 2008 Optical Society of America

OCIS Codes
(050.1940) Diffraction and gratings : Diffraction
(290.5838) Scattering : Scattering, in-field

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 10, 2008
Revised Manuscript: July 4, 2008
Manuscript Accepted: July 18, 2008
Published: August 13, 2008

Citation
M. Ayub, M. Ramzan, and A. B. Mann, "A note on plane wave diffraction by a perfectly conducting strip in a homogeneous bi-isotropic medium," Opt. Express 16, 13203-13217 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-17-13203


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References

  1. E. Beltrami, "Considerazioni idrodinamiche," Rend. Inst. Lombardo Acad. Sci. Lett.22,122 -131(1889). An English translation is available: Beltrami, E. "Considerations on hydrodynamics," Int. J. Fusion Energy 3,53- 57(1985). V. Trkal, "Paznámka hydrodynamice vazkych tekutin," C2d8 asopis pro Pe2d8 stování Mathematiky a Fysiky 48, 302 -311 1919. An English translation is available: V. Trkal, "A note on the hydrodynamics of viscous fluids," Czech J. Phys. 44, 97-1061994.
  2. S. Chandrasekhar, "Axisymmetric Magnetic Fields and Fluid Motions," Asrtophys. J,  124, 232 (1956). [CrossRef]
  3. A. Lakhtakia, "Viktor Trkal, Beltrami fields, and Trkalian flows," Czech. J. Phys. 44, 89 (1994). [CrossRef]
  4. C. F. Bohren, "Light scattering by an optically active sphere," Chem. Phys. Lett. 29, 458 (1974). [CrossRef]
  5. A. Lakhtakia, Beltrami Fields in Chiral Media (World Scientific, Singapore, 1994). [CrossRef]
  6. A. Lakhtakia, "Time-dependent scalar Beltrami-Hertz potentials in free space," Int. J. Infrared Millim. Waves 15, 369-394 (1994). [CrossRef]
  7. A. Lakhtakia andW. S. Weiglhofer, "Covariances and invariances of the Beltrami-Maxwell postulates," IEE Proc. Sci. Meas. Technol. 142, 262-26 (1995). [CrossRef]
  8. V. V. Fisanov, "Distinctive features of edge fields in a chiral medium," Sov. J. Commun. Technol. Electronics 37, 93 (1992).
  9. S. Przezdziecki, "Field of a Point Source Within Perfectly Conducting Parallel-Plates in a Homogeneous Biisotropic Medium," Acta Physica Polonica A 83, 739 (1993).
  10. S. Asghar and A. Lakhtakia, "Plane-wave diffraction by a perfectly conducting half-plane in a homogeneous bi-isotropic medium," Int. J. Appl. Electromagn. Mater. 5, 181-188, (1994).
  11. J. P. McKelvey, "The case of the curious curl," Amer. J. Phys. 58, 306 (1990). [CrossRef]
  12. H. Zaghloul and O. Barajas, "Force- free magnetic fields," Amer. J. Phys. 58, 783 (1990). [CrossRef]
  13. V. K. Varadan, A. Lakhtakia, and V. V. Varadan, "A comment on the solutions of the equation.�?a = ka," J. Phys. A: Math. Gen. 20, 2649 (1987). [CrossRef]
  14. A. Lakhtakia, V. K. Varadan, and V. V. Varadan, Time-Harmonic Electromagnetic Fields in Chiral Media (Springer, Heidelberg, 1989).
  15. A. Lakhtakia, "Recent contributions to classical electromagnetic theory of chiral media," Speculat. Sci. Technol. 14, 2-17 (1991).
  16. B. D. H. Tellegen, Phillips Res. Rep. 3, 81 (1948).; errata: M. E. Van Valkenburg, ed., Circuit Theory: Foundations and Classical Contributions (Stroudsberg, PA: Dowden, Hutchinson and Ross, 1974).
  17. L. I. G. Chambers, "Propagation in a gyrational medium," Quart. J. Mech. Appl. Math. 9, 360 (1956), addendum: Quart. J. Mech. Appl. Math 11, 253-255 (1958). [CrossRef]
  18. J. C. Monzon, "Radiation and scattering in homogeneous general biisotropic regions," IEEE Trans. Antennas Propagat,  38, 227 (1990). [CrossRef]
  19. A. H. Sihvola and I. V. Lindell, "Theory of nonreciprocal and nonsymmetric uniform transmission lines," Microwave Opt. Technol. Lett. 4, 292 (1991).
  20. A. Lakhtakia and J. R. Diamond, "Reciprocity and the concept of the Brewster wavenumber," Int. J. Infrared Millim. Waves 12, 1167-1174 (1991). [CrossRef]
  21. A. Lakhtakia, "Plane wave scattering response of a unidirectionally conducting screen immersed in a biisotropic medium," Microwave Opt. Technol. Lett,  5, 163 (1992). [CrossRef]
  22. A. Lakhtakia and T. G. Mackay, "Infinite phase velocity as the boundary between positive and negative phase velocities," Microwave Opt Technol. Lett. 20, 165-166 (2004). [CrossRef]
  23. A. Lakhtakia, M. W. McCall, and W. S. Weiglhofer, "Negative phase velocity mediums," W. S. Weiglhofer and A. Lakhtakia (Eds.), Introduction to complex mediums for electromagnetics and optics, (SPIE Press. Bellingham, W. A, 2003).
  24. T. G. Mackay, "Plane waves with negative phase velocity in isotropic chiral mediums," Microwave Opt. Technol. Lett. 45, 120-121 (2005). [CrossRef]
  25. T. G. Mackay and A. Lakhtakia, "Plane waves with negative phase velocity in Faraday chiral mediums," Phys. Rev. E 69, 026602 (2004). [CrossRef]
  26. A. Lakhtakia and W. S. Weiglhofer, "Constraint on linear, homogeneous constitutive relations," Phys. Rev. E 50, 5017-5019 (1994). [CrossRef]
  27. A. Lakhtakia and B. Shanker, "Beltrami fields within continuous source regions, volume integral equations, scattering algorithms, and the extended Maxwell-Garnett model," Int. J. Appl. Electromagn. Mater. 4, 65-82 (1993).
  28. W. S. Weiglhofer, "Isotropie chiral media and scalar Hertz potential," J. Phys. A 21, 2249 (1988).
  29. B. Noble, Methods Based on the Wiener-Hopf Technique (Pergamon, London, 1958).
  30. S. Asghar, T. Hayat, and B. Asghar, "Cylindrical wave diffraction by a perfectly conducting strip in a homogeneous bi-isotropic medium," J. Mod. Opt. 3, 515-528 (1998). [CrossRef]
  31. S. Asghar and T. Hayat, "Plane wave diffraction by a perfectly conducting strip in a homogeneous biisotropic medium," Int. J. Appl. Electromagn. Mechanics 9, 39-51 (1998).
  32. E. T. Copson, Asymptotic Expansions (Cambridge University Press, 1967).
  33. Mackay and Lakhtakia, "Electromagnetic fields in linear bianisotropic mediums, Prog. Opt. 51, 121-209 (2008). [CrossRef]
  34. F. I. Fedorov, Theory of Gyrotropy (Minsk: Nauka i Tehnika), 1976).

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