PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 60 > pp. 245-264

MIXED-POTENTIAL GREEN'S FUNCTION OF AN AXIALLY SYMMETRIC SHEET MAGNETIC CURRENT ON A CIRCULAR CYLINDRICAL METAL SURFACE

By A. Y. Svezhentsev

Full Article PDF (389 KB)

Abstract:
An effective approach is suggested for calculating the Green's function of an axially symmetric sheet magnetic current placed on a circular cylindrical metal surface. Upon improving convergence of the available Fourier transform, it has been possible to explicitly develop the Green's function logarithmic singularity at the source. Also, the Green's function behavior at the branch point in the spectral domain has been considered, ending up with the singularity extraction in the space domain. It is shown that this branch point singularity (pole) corresponds to the cylindrical quasi-TEM mode of the cylinder exterior. Finally, the rest of the Green's function is effectively numerically calculated.

Citation:
A. Y. Svezhentsev, "Mixed-Potential Green's Function of an Axially Symmetric Sheet Magnetic Current on a Circular Cylindrical Metal Surface," Progress In Electromagnetics Research, Vol. 60, 245-264, 2006.
doi:10.2528/PIER06010403
http://www.jpier.org/PIER/pier.php?paper=0601043

References:
1. Bertuch, Th. and C. V. Winterfeld, "Modelling of arrays of openended waveguide antennas," Proc. of 2nd European Workshop on Conformal Antennas, No. 4, 65-68, 2001.

2. Thors, B. and L. Josefsson, "The radar cross section of a conformal array antenna," Proc. of 2nd European Workshop on Conformal Antennas, No. 4, 69-72, 2001.

3. Schelkunoff, S. A., "Some equivalence theorems of electromagnetics and their application to radiation problems," Bell Syst. Tech. Journ., Vol. 15, 1936.

4. Villegas, F. J., Y. Rahmat-Sami, and D. R. Jackson, "A hybrid MoM solution of scattering from finite arrays of cylindrical cavities in a ground plane," IEEE Transaction on Antenna and Propagation, Vol. 51, No. 9, 2369-2380, 2003.
doi:10.1109/TAP.2003.817631

5. Markov, G. T. and A. F. Chaplin, "Excitation of electromagnetic waves," Moscow: Radio & Svyaz, 1983.

6. Svezhentsev, A. Ye. and G. A. E. Vandenbosch, "Spatial Green's function singularity for sheet electric current over dielectric coated cylinder," IEEE Trans. on Antenna and Propagation, Vol. 52, No. 2, 608-610, 2004.
doi:10.1109/TAP.2003.820951

7. Nosich, A. I., "Radiation condition, limiting absorption principle, and general relations in open waveguide scattering," Journal of Electromagnetic Waves and Application, Vol. 8, No. 3, 329-353, 1994.

8. Abramowitz, M. and I. A. Stegun, Handbook of Mathematical Functions, Dover, New York, 1971.

9. Prudnikov, A. P., Yu. A. Brychkov, and O. I. Marichev, Integrals and Series. Elementary Functions, Nauka, Moscow, 1981.

10. —, Integrals and Series. Special Functions, Nauka, Moscow.

11. Fikioris, J. G., "On the singular integrals in the source region of electromagnetic fields," J. of Electromagn. Waves and Appl., Vol. 18, No. 11, 1505-1521, 2004.
doi:10.1163/1569393042954866


© Copyright 2014 EMW Publishing. All Rights Reserved