## Electromagnetic scattering by a reciprocal uniaxial bianisotropic cylinder with arbitrary cross section: extended mode-matching method

JOSA A, Vol. 16, Issue 4, pp. 831-836 (1999)

http://dx.doi.org/10.1364/JOSAA.16.000831

Acrobat PDF (255 KB)

### Abstract

Based on the eigenfunction expansion of electromagnetic waves in a reciprocal uniaxial bianisotropic medium, an extended mode-matching method is proposed to study the scattering of an infinitely long reciprocal uniaxial bianisotropic cylinder with arbitrary cross section. Excellent convergence of the echo width is numerically verified, which establishes the reliability and applicability of the present extended mode-matching method for the two-dimensional single-body problem in which the reciprocal uniaxial bianisotropic medium has a curved surface.

© 1999 Optical Society of America

**OCIS Codes**

(160.1190) Materials : Anisotropic optical materials

(290.0290) Scattering : Scattering

**Citation**

Dajun Cheng and Yahia M. M. Antar, "Electromagnetic scattering by a reciprocal uniaxial bianisotropic cylinder with arbitrary cross section: extended mode-matching method," J. Opt. Soc. Am. A **16**, 831-836 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-4-831

Sort: Year | Journal | Reset

### References

- W. W. Hansen, “A new type of expansion in radiation problems,” Phys. Rev. 47, 139–143 (1935).
- J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941).
- P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
- C. T. Tai, Dyadic Green’s Functions in Electromagnetic Theory (Intertext, New York, 1971).
- R. D. Graglia, P. L. E. Uslenghi, and R. S. Zich, “Moment method with isoparameteric elements for three-dimensional anisotropic scatterers,” Proc. IEEE 77, 750–760 (1989).
- V. V. Varadan, A. Lakhtakia, and V. K. Varadan, “Scattering by a three dimensional anisotropic scatterers,” IEEE Trans. Antennas Propag. 37, 800–802 (1989).
- S. N. Papadakis, N. K. Uzunoglu, and N. Christos, “Scattering of a plane wave by a general anisotropic dielectric ellipsoid,” J. Opt. Soc. Am. A 7, 991–997 (1990).
- J. A. Kong, Theory of Electromagnetic Waves (Wiley, New York, 1975).
- C. Yeh, “Perturbation method in the diffraction of electromagnetic waves by arbitrarily shaped penetrable obstacles,” J. Math. Phys. 6, 2008–2013 (1965).
- V. K. Varadan and V. V. Varadan, eds., Acoustic, Electromagnetic and Elastic Wave Scattering—Focus on the T-Matrix Approach (Pergamon, New York, 1980).
- E. J. Rothwell and L. L. Frasch, “Propagation characteristics of dielectric-rod-loaded waveguides,” IEEE Trans. Microwave Theory Tech. 36, 594–600 (1988).
- C. Hafner, The Generalized Multipole Technique for Computational Electromagnetics (Artech House, London, 1990).
- I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bianisotropic Media (Artech House, Norwood, 1994).
- A. Priou, ed., Bianisotropic and Biisotropic Media and Applications (EMW, Boston, 1994).
- N. Engheta, ed., Special issue, “Wave interaction with chiral and complex media,” J. Electromagn. Waves Appl. 6, 537–793 (1992).
- S. A. Tretyakov and A. A. Sochava, “Plane electromagnetic waves in uniaxial bianisotropic media,” in Proceedings of the Second International Conference and Workshop on Electromagnetics of Complex Media (Helsinki University of Technology, Helsinki, 1993), pp. 46–49.
- D. Cheng, “Field representations in reciprocal uniaxial bianisotropic media by cylindrical vector wave functions,” Microwave Opt. Technol. Lett. 13, 358–363 (1996).
- D. Cheng and W. Ren, “Green dyadics in reciprocal uniaxial bianisotropic medium by cylindrical vector wave functions,” Phys. Rev. E 54, 2917–2924 (1996).
- I. V. Lindell, A. J. Viitanen, and P. K. Koivisto, “Plane-wave propagation in a transversely bianisotropic uniaxial medium,” Microwave Opt. Technol. Lett. 6, 478–481 (1993).
- S. A. Tretyakov and A. A. Sochava, “Proposed composite material for non-reflecting shields and antenna redomes,” Electron. Lett. 29, 1048–1049 (1993).
- A. J. Viitanen and I. V. Lindell, “Uniaxial chiral quarter-wave polarization transformer,” Electron. Lett. 29, 1074–1075 (1993).
- I. V. Lindell, S. A. Tretyakov, and A. J. Viitanen, “Plane-wave propagation in a uniaxial chiro-omega medium,” Microwave Opt. Technol. Lett. 6, 517–520 (1993).
- N. K. Uzunoglu, P. G. Cottis, and J. G. Fikioris, “Excitation of electromagnetic wave in a greoelectric cylinder,” IEEE Trans. Antennas Propag. 33, 90–98 (1985).
- W. H. Eggiman, “Scattering of a plane wave on a ferrite cylinder at normal incidence,” IEEE Trans. Microwave Theory Tech. 8, 440–445 (1960).
- N. Okamoto, “Matrix formulation of scattering by a homogeneous gyrotropic cylinder,” IEEE Trans. Antennas Propag. 18, 642–649 (1970).
- R. D. Graglia and P. L. E. Uslenghi, “Electromagnetic scattering from anisotropic materials, part II: computer code and numerical results in two dimensions,” IEEE Trans. Antennas Propag. 35, 225–232 (1987).
- L. Tsang, J. A. Kong, and R. T. Shin, Theory of Microwave Remote Sensing (Wiley, New York, 1985).
- R. J. Pogorzelski and E. Lun, “On the expansion of cylindrical vector waves in terms of spherical vector waves,” Radio Sci. 11, 753–761 (1976).

## Cited By |
Alert me when this paper is cited |

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article | Next Article »

OSA is a member of CrossRef.