## Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core |

JOSA A, Vol. 30, Issue 9, pp. 1832-1844 (2013)

http://dx.doi.org/10.1364/JOSAA.30.001832

Enhanced HTML Acrobat PDF (657 KB)

### Abstract

An analytical, closed-form solution to the scattering problem from an infinite lossless or lossy elliptical cylinder coating a circular metal core is treated in this work. The problem is solved by expressing the electromagnetic field in both elliptical and circular wave functions, connected with one another by well-known expansion formulas. The procedure for solving the problem is cumbersome because of the nonexistence of orthogonality relations for Mathieu functions across the dielectric elliptical boundary. The solution obtained, which is free of Mathieu functions, is given in closed form, and it is valid for small values of the eccentricity

© 2013 Optical Society of America

**OCIS Codes**

(260.3910) Physical optics : Metal optics

(290.1350) Scattering : Backscattering

(290.2558) Scattering : Forward scattering

**ToC Category:**

Scattering

**History**

Original Manuscript: March 28, 2013

Revised Manuscript: July 24, 2013

Manuscript Accepted: July 26, 2013

Published: August 22, 2013

**Citation**

Grigorios P. Zouros, Demetrios P. Kanoussis, and John A. Roumeliotis, "Closed-form solution to the scattering by an infinite lossless or lossy elliptic cylinder coating a circular metallic core," J. Opt. Soc. Am. A **30**, 1832-1844 (2013)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-30-9-1832

Sort: Year | Journal | Reset

### References

- J. H. Richmond, “Scattering by a conducting elliptic cylinder with dielectric coating,” Radio Sci. 23, 1061–1066 (1988). [CrossRef]
- H. A. Ragheb and L. Shafai, “Electromagnetic scattering from a dielectric-coated elliptic cylinder,” Can. J. Phys. 66, 1115–1122 (1988). [CrossRef]
- A. K. Hamid and M. I. Hussein, “Electromagnetic scattering by a lossy dielectric-coated elliptic cylinder,” Can. J. Phys. 81, 771–778 (2003). [CrossRef]
- H. Ragheb, L. Shafai, and M. Hamid, “Plane-wave scattering by a conducting elliptic cylinder coated by a nonconfocal dielectric,” IEEE Trans. Antennas Propag. 39, 218–223 (1991). [CrossRef]
- A. Sebak, H. Ragheb, and L. Shafai, “Plane-wave scattering by dielectric elliptic cylinder coated with nonconfocal dielectric,” Radio Sci. 29, 1393–1401 (1994). [CrossRef]
- G. P. Zouros, “Oblique electromagnetic scattering from lossless or lossy composite elliptical dielectric cylinders,” J. Opt. Soc. Am. A 30, 196–205 (2013). [CrossRef]
- C. S. Kim and C. Yeh, “Scattering of an obliquely incident wave by a multilayered elliptical lossy dielectric cylinder,” Radio Sci. 26, 1165–1176 (1991). [CrossRef]
- S. Caorsi, M. Pastorino, and M. Raffetto, “Electromagnetic scattering by weakly lossy multilayer elliptic cylinders,” IEEE Trans. Antennas Propag. 46, 1750–1751 (1998). [CrossRef]
- S. Caorsi, M. Pastorino, and M. Raffetto, “EM field prediction inside lossy multilayer elliptic cylinders for biological-body modeling and numerical-procedure testing,” IEEE Trans. Biomed. Eng. 46, 1304–1309 (1999). [CrossRef]
- S. Caorsi, M. Pastorino, and M. Raffetto, “Radar cross section per unit length of a lossy multilayer elliptic cylinder,” Microw. Opt. Technol. Lett. 21, 380–384 (1999). [CrossRef]
- T.-K. Wu and L. L. Tsai, “Scattering by arbitrarily cross-sectioned layered lossy dielectric cylinders,” IEEE Trans. Antennas Propag. AP-25, 518–524 (1977).
- J. L. Tsalamengas, “Exponentially converging Nyström methods applied to the integral–integrodifferential equations of oblique scattering/hybrid wave propagation in presence of composite dielectric cylinders of arbitrary cross section,” IEEE Trans. Antennas Propag. 55, 3239–3250 (2007). [CrossRef]
- G. P. Zouros and J. A. Roumeliotis, “Scattering by an infinite dielectric cylinder having an elliptic metal core: asymptotic solutions,” IEEE Trans. Antennas Propag. 58, 3299–3309 (2010). [CrossRef]
- J. A. Roumeliotis, H. K. Manthopoulos, and V. K. Manthopoulos, “Electromagnetic scattering from an infinite circular metallic cylinder coated by an elliptic dielectric one,” IEEE Trans. Microwave Theory Tech. 41, 862–869 (1993). [CrossRef]
- J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).
- P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, 1953).
- G. D. Tsogkas, J. A. Roumeliotis, and S. P. Savaidis, “Electromagnetic scattering by an infinite elliptic dielectric cylinder with small eccentricity using perturbative analysis,” IEEE Trans. Antennas Propag. 58, 107–121 (2010). [CrossRef]
- G. C. Kokkorakis and J. A. Roumeliotis, “Power series expansions for Mathieu functions with small arguments,” Math. Comput. 70, 1221–1235 (2001). [CrossRef]
- G. D. Tsogkas, J. A. Roumeliotis, and S. P. Savaidis, “Scattering by an infinite elliptic metallic cylinder,” Electromagnetics 27, 159–182 (2007). [CrossRef]

## 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.