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Journal of Mathematical Physics / Volume 26 / Issue 5

J. Math. Phys. 26, 994 (1985); http://dx.doi.org/10.1063/1.526507 (18 pages)

Ladder and cross terms in second‐order distorted Born approximation

Y. Q. Jin and J. A. Kong

Department of Electrical Engineering and Computer Science and Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

(Received 20 September 1984; accepted 28 December 1984)

In the strong fluctuation theory for a bounded layer of random discrete scatterers, the second moments of the fields in the second‐order distorted Born approximation are obtained for copolarized and cross‐polarized fields. The backscattering cross sections per unit area are calculated by including the mutual coherence of the fields due to the coincidental ray paths, and that due to the opposite ray paths, corresponding to the ladder and cross terms in the Feynman diagramatic representation. It is proved that the contributions from ladder and cross terms for the copolarized backscattering cross sections are the same, while the contributions for the cross‐polarized backscattering cross sections are of the same order. The bistatic scattering coefficients in the second‐order approximation for both the ladder and cross terms are also obtained. The contributions from the cross terms explain the enhancement in the backscattering direction.

KEYWORDS and PACS

Keywords

DWBA, CROSS SECTIONS, BACKSCATTERING, FEYNMAN DIAGRAM, POLARIZATION, GREEN FUNCTION, SINGULARITY, MOMENTS METHOD, SPHERES, LADDER APPROXIMATION, ELECTROMAGNETIC RADIATION, BETHE−SALPETER EQUATION, CORRELATION FUNCTIONS, DYSON REPRESENTATION, QUANTUM FIELD THEORY, INTERFERENCE, RADIANT HEAT TRANSFER

PACS

  • 11.80.-m

    Relativistic scattering theory

  • 02.30.Gp

    Special functions

  • 11.10.St

    Bound and unstable states; Bethe-Salpeter equations

  • 03.50.De

    Classical electromagnetism, Maxwell equations

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.526507

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    Y. Q. Jin and J. A. Kong, J. Appl. Phys. 55, 1364 (1984JAPIAU000055000005001364000001).

    M. Zuniga and J. A. Kong, J. Appl. Phys. 51, 2315 (1980JAPIAU000051000005002315000001).


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