## Two theorems on electromagnetic bistatic scattering

JOSA A, Vol. 21, Issue 8, pp. 1438-1444 (2004)

http://dx.doi.org/10.1364/JOSAA.21.001438

Acrobat PDF (392 KB)

### Abstract

For an axially incident plane wave, two theorems are stated in which sufficient conditions are imposed on the constitutive parameters ε and μ of a three-dimensional scatterer to ensure the identity of scattering patterns in orthogonal planes, both near and far zone, such as <i>E</i> and <i>H</i> planes. The theorems represent an extension of existing scattering theorems that apply to bodies of revolution. The theorems are proven analytically, and the results are validated through detailed finite-difference–time-domain and method-of-moments computer simulations on a few noncanonical complex shapes characterized by quite general causal permittivity ε and permeability μ functions. The selected materials have Lorentzian functional forms and encompass ordinary materials as well as left-handed materials as special cases.

© 2004 Optical Society of America

**OCIS Codes**

(260.1960) Physical optics : Diffraction theory

(260.2110) Physical optics : Electromagnetic optics

(260.5430) Physical optics : Polarization

(290.0290) Scattering : Scattering

(290.1350) Scattering : Backscattering

**Citation**

Cesar Monzon, Peter Loschialpo, and Douglas Smith, "Two theorems on electromagnetic bistatic scattering," J. Opt. Soc. Am. A **21**, 1438-1444 (2004)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-21-8-1438

Sort: Year | Journal | Reset

### References

- C. Monzon and O. Kesler, “On the depolarization of bodies invariant under a rotation,” IEEE Trans. Antennas Propag. 49, 1868–1874 (2001).
- V. H. Weston, “Theory of absorbers in scattering,” IEEE Trans. Antennas Propag. 11, 578–584 (1963).
- C. Monzon, D. W. Forester, and L. N. Medgyesi-Mitschang, “Scattering properties of an ideal homogeneous, causal ‘left handed’ sphere,” manuscript available from the authors (see above).
- K. S. Yee and A. H. Chang, “Scattering theorems with anisotropic surface boundary conditions for bodies of revolution,” IEEE Trans. Antennas Propag. 39, 1041–1043 (1991).
- P. L. E. Uslenghi, “Scattering by an impedance sphere coated with a chiral layer,” Electromagnetics 10, 201–211 (1990).
- P. L. E. Uslenghi, “Three theorems on zero backscattering,” IEEE Trans. Antennas Propag. 44, 269–270 (1996).
- V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
- J. B. Pendry, “Negative refraction makes a perfect lens,” Phys. Rev. Lett. 85, 3966 (2000).
- J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, “Magnetism from conductors and Enhanced nonlinear phenomena,” IEEE Trans. Microwave Theory Tech. 47, 2075–2084 (1999).
- D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, “Composite medium with simultaneously negative permeability and permittivity,” Phys. Rev. Lett. 84, 4184–4187 (2000).
- D. S. Jones, The Theory of Electromagnetism (MacMillan, New York, 1964).
- P. F. Loschialpo, D. L. Smith, D. W. Forester, F. J. Rachford, and J. Schelleng, “Electromagnetic waves focused by a negative-index planar lens,” Phys. Rev. E 67, 026502 (2003).
- P. F. Loschialpo, D. W. Forester, D. L. Smith, F. J. Rachford, J. Schelleng, and C. Monzon, “Optical properties of an ideal homogeneous, causal ‘left handed’ material slab,” Manuscript available from the authors (see above).
- J. P. Berenger, “A perfectly matched layer for the absorption of electromagnetic waves,” J. Comput. Phys. 114, 185–200 (1994).
- L. N. Medgyesi-Mitschang, J. M. Putnam, and M. B. Gedera, “Generalized method of moments for 3D penetrable scatterers,” J. Opt. Soc. Am. A 11, 1383–1398 (1994).
- J. M. Putnam and M. B. Gedera, “CARLOS-3D: a general-purpose 3-D method of moments scattering code,” IEEE Antennas Propag. Mag. April 1993, pp. 69–71.
- G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen,” Ann. Phys. (Leipzig) 25, 377–443 (1908).
- G. T. Ruck, ed., Radar Cross Section Handbook (Plenum, New York, 1970).

## 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.