2011-06-22
Spectral-Domain Formulation of Electromagnetic Scattering from Circular Cylinders Located Near Periodic Cylinder Array
By
Progress In Electromagnetics Research B, Vol. 31, 219-237, 2011
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
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, 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        Google Scholar

3. Chew, W. C., Waves and Fields in Inhomogeneous Media, Van Nostrand Reinhold, 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        Google Scholar

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        Google Scholar

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