volume | PIER Journals

2011-06-22

Spectral-Domain Formulation of Electromagnetic Scattering from Circular Cylinders Located Near Periodic Cylinder Array

Koki Watanabe,

Prof. Koki Watanabe

Department of Information and Communication Engineering

Fukuoka Institute of Technology

Japan

Homepage

Yoshimasa Nakatake

Mr. Yoshimasa Nakatake

Graduate School of Engineering

Fukuoka Institute of Technology

Japan

Homepage

Progress In Electromagnetics Research B, Vol. 31, 219-237, 2011

doi:10.2528/PIERB11052504

Abstract

This paper considers a periodic circular cylinder array with additional cylinders and formulates the electromagnetic scattering problem of this imperfectly periodic structure. Generally, the fields in imperfectly periodic structures have continuous spectra, and the spectral-domain approaches require appropriate discretization schemes in many cases. The present formulation is based on the pseudo-periodic Fourier transform and the discretization scheme can be considered only inside the Brillouin zone.

Citation

Copy Export

Koki Watanabe, and Yoshimasa Nakatake, "Spectral-Domain Formulation of Electromagnetic Scattering from Circular Cylinders Located Near Periodic Cylinder Array," Progress In Electromagnetics Research B, Vol. 31, 219-237, 2011.
doi:10.2528/PIERB11052504

References

1. Petit, R., Electromagnetic Theory of Gratings,, Springer Springer, Berlin, 1980.
doi:10.1007/978-3-642-81500-3

2. Watanabe, K. and K. Yasumoto, "Two-dimensional electromagnetic scattering of non-plane incident waves by periodic structures," Progress In Electromagnetics Research, Vol. 74, 241-271, 2007.
doi:10.2528/PIER07050902

3. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, New York, 1990.

4. Roussel, H., W. C. Chew, F. Jouvie, and W. Tabbara, "Electromagnetic scattering from dielectric and magnetic gratings of fibers --- a T-matrix solution," Journal of Electromagnetic Waves and Applications, Vol. 10, No. 1, 109-127, 1996.
doi:10.1163/156939396X00252

5. Yasumoto, K. and K. Yoshitomi, "E±cient calculation of lattice sums for free-space periodic Green's function," IEEE Trans. Antennas Propagat., Vol. 47, No. 6, 1050-1055, 1999.
doi:10.1109/8.777130

6. Abramowitz, M. and I. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover, New York, New York.