Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders

Authors

DOI:

https://doi.org/10.26636/jtit.2020.138519

Keywords:

electromagnetic scattering, inhomogeneous wave dispersion, lossy media, multi-cylinders scattering, vectorial cylindrical-harmonics

Abstract

The interaction between an ensemble of cylinders and an inhomogeneous plane wave is introduced and is determined, in the present paper, through a rigorous theoretical approach. Scattered electromagnetic field generated by an indefinite number of infinite circular cylinders is analyzed by the application of the generalized vector cylinder harmonics (VCH) expansion. The exact mathematical model relied upon to represent this scenario considers the so-called complex-angle formalism reaching a superposition of vectorial cylindrical-harmonics and Foldy-Lax Multiple scattering equations (FLMSE) to account for the multiscattering process between the cylinders. The method was validated by comparing the numerical results obtained with the use of the finite element method and a homemade Matlab code.

Downloads

Download data is not yet available.

References

[1] G. Mie, “Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen”, Ann. Physik, vol. 25, 1908 (in German).
View in Google Scholar

[2] J. J. Bowman, T. B. A. Senior, and P. L. E. Uslenghi, Electromagnetic and Acoustic Scattering by Simple Shapes. Amsterdam: North-Holland Publishing Company, 1969 (ISBN: 97807200401523).
View in Google Scholar

[3] J. R. Parry, “Electromagnetic scattering from cylinders of arbitrary cross-section in a conductive half-space”, Geophysics, vol. 36, no. 1, pp. 1–217, 1971.
View in Google Scholar

[4] P. Latimer, “Light scattering by ellipsoids”, J. of Colloid and Interf. Sci., vol. 53, no. 1, pp. 102–109, 1975.
View in Google Scholar

[5] T. Rother, Electromagnetic Wave Scattering on Nonspherical Particles. New York: Springer, 2009 (ISBN: 9783642007033).
View in Google Scholar

[6] C. A. Balanis, Advanced Engineering Electromagnetics, 2nd ed. Wiley, 2012 (ISBN: 9780470589489).
View in Google Scholar

[7] R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini, “Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical-wave approach”, J. of the Optic. Soc. of America A, vol. 13, no. 3, pp. 483–493, 1996.
View in Google Scholar

[8] T. Wriedt and A. Doicu, “Light scattering from a particle on or near a surface”, Optics Commun., vol. 152, no. 4–6, pp. 376–384, 1998.
View in Google Scholar

[9] S.-C. Lee and A. Grzesik, “Light scattering by closely spaced parallel cylinders embedded in a semi-infinite dielectric medium”, J. of the Optic. Soc. of America A, vol. 15, no. 1, pp. 163–173, 1998.
View in Google Scholar

[10] A. Doicu, T. Wriedt, and Y. A. Eremin, Light Scattering by Systems of Particles. New York: Springer, 2006 (ISBN: 9783540336969).
View in Google Scholar

[11] F. Frezza, F. Mangini, L. Pajewski, G. Schettini, and N. Tedeschi, “Spectral domain method for the electromagnetic scattering by a buried sphere”, J. of the Optic. Soc. of America A, vol. 30, no. 4, pp. 783–790, 2013.
View in Google Scholar

[12] F. Frezza, F. Mangini, and N. Tedeschi, “Electromagnetic scattering by two concentric spheres buried in a stratified material”, J. of the Optic. Soc. of America A, vol. 32, no. 2, pp. 277–286, 2015.
View in Google Scholar

[13] F. Frezza and F. Mangini, “Electromagnetic scattering by a buried sphere in a lossy medium of an inhomogeneous plane wave at arbitrary incidence: Spectral-domain method”, J. of the Optic. Soc. of America A, vol. 33, no. 5, pp. 947–953, 2016.
View in Google Scholar

[14] F. Mangini, N. Tedeschi, F. Frezza, and A. Sihvola, “Homogenization of a multilayer sphere as a radial uniaxial sphere: features and limits”, J. Electrom. Waves Appl., vol. 28, no. 8, pp. 916–931, 2014.
View in Google Scholar

[15] F. Mangini, N. Tedeschi, F. Frezza, and A. Sihvola, “Electromagnetic scattering of an inhomogeneous elliptically polarized plane wave by a multilayered sphere”, J. Electrom. Waves Appl., vol. 30, no. 4, pp. 492–504, 2016.
View in Google Scholar

[16] F. Frezza and F. Mangini, “Electromagnetic scattering of an inhomogeneous elliptically polarized plane wave by a multilayered sphere”, J. Electrom. Waves Appl., vol. 30, no. 4, pp. 492–504, 2016.
View in Google Scholar

[17] F. Mangini and N. Tedeschi, “Scattering of an electromagnetic plane wave by a sphere embedded in a cylinder”, J. of the Optic. Soc. of America A, vol. 34, no. 5, pp. 760–769, 2017.
View in Google Scholar

[18] S. N. Samaddar, “Scattering of plane waves from an infinitely long cylinder of anisotropic materials at oblique incidence with an application to an electronic scanning antenna”, Appl. Scient. Res. B, vol. 10, pp. 385–411, 1962.
View in Google Scholar

[19] X. B. Wu and W. Ren, “Wave-function solution of plane-wave scattering by an anisotropic circular cylinder”, Microw. and Opt. Technol. Lett., vol. 8, no. 1, pp. 39–42, 1995.
View in Google Scholar

[20] S.-C. Mao and Z.-S. Wu, “Scattering by an infinite homogeneous anisotropic elliptic cylinder in terms of Mathieu functions and Fourier series”, J. of the Optic. Soc. of America A, vol. 25, no. 12, pp. 2925–2931, 2008.
View in Google Scholar

[21] F. Frezza, F. Mangini, M. Muzi, and E. Stoja, “In silico validation procedure for cell volume fraction estimation through dielectric spectroscopy”, J. of Biolog. Physics, vol. 41, no. 3, pp. 223–234, 2015.
View in Google Scholar

[22] G. Videen, “Light scattering from a particle on or near a perfectly conducting surface”, Optics Commun., vol. 115, no. 1–2, pp. 1–7, 1995.
View in Google Scholar

[23] M. I. Mishchenko, L. D. Travis, and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles. Cambridge: Cambridge University Press, 2002 (ISBN: 9780521782524).
View in Google Scholar

[24] L. Tsang and J. A. Kong, Scattering of Electromagnetic Waves: Theory and Applications. New York: Wiley, 2000 (ISBN: 9780471224280).
View in Google Scholar

[25] L. Tsang, J. A. Kong, K.-H. Ding, and C. O. Ao, Scattering of Electromagnetic Waves: Numerical Simulations. New York: Wiley, 2000 (ISBN: 9780471388005).
View in Google Scholar

[26] E. I. Ivlev, “Structure and properties of inhomogeneous waves”, J. of Modern Optics, vol. 34, no. 12, pp. 1559–1569, 1987.
View in Google Scholar

[27] E. I. Ivlev, “The scattering of inhomogeneous electromagnetic waves by a cylinder”, J. of Modern Optics, vol. 39, no. 3, pp. 499–507, 1992.
View in Google Scholar

[28] R. B. Adler, L. J. Chu, and R. M. Fano, Electromagnetic Energy Transmission and Radiation. MIT Press Classics, 1968 (ISBN: 9780262511407).
View in Google Scholar

[29] F. Frezza and F. Mangini, “Vectorial spherical-harmonics representation of an inhomogeneous elliptically polarized plane wave”, J. of the Optic. Soc. of America A, vol. 32, no. 7, pp. 1379–1383, 2015.
View in Google Scholar

[30] C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles. Wiley, 1998 (ISBN: 9780471293408).
View in Google Scholar

[31] J. A. Stratton, Electromagnetic Theory. New York and London: McGraw-Hill, 1941 (ISBN: 9780070621503) [Online]. Available: https://archive.org/details/electromagnetict031016mbp/page/n5.
View in Google Scholar

[32] M. Kerker, The Scattering of Light. New York, San Francisco and London: Academic Press, 1969 (ISBN: 9781483191744).
View in Google Scholar

[33] M. Born and E. Wolf, Principles of Optics, 7th ed. Cambridge: Cambridge University Press, 1999 (ISBN: 9781139644181).
View in Google Scholar

[34] L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Theory and Applications. New York: Wiley, 2000 (ISBN: 9780471224280).
View in Google Scholar

[35] J. G. Van Bladel, Electromagnetic Fields, 2nd ed. New Jersey: Wiley, 2007 (ISBN: 9780471263883).
View in Google Scholar

[36] F. Frezza, F. Mangini, and N. Tedeschi, “Introduction to electromagnetic scattering: tutorial”, J. of the Optic. Soc. of America A, vol. 35, no. 1, pp. 163–173, 2018.
View in Google Scholar

[37] F. Mangini, L. Dinia, and F. Frezza, “Electromagnetic scattering by a cylinder in a lossy medium of an inhomogeneous elliptically polarized plane wave”, J. of Telecommun. and Inform. Technol., no. 4, pp. 36–42, 2019.
View in Google Scholar

[38] S. Batool, F. Frezza, F. Mangini, and Y.-L. Xu, “Scattering from multiple PEC sphere using translation addition theorems for spherical vector wave function”, J. of Quantit. Spectros. & Radia. Transfer, vol. 248, no. 17, pp. 1–6, 2020.
View in Google Scholar

Downloads

Submitted

2023-05-22

Published

2020-09-30

Issue

Section

RESEARCH ARTICLES

How to Cite

[1]
F. Mangini and F. Frezza, “Electromagnetic Scattering of Inhomogeneous Plane Wave by Ensemble of Cylinders”, JTIT, vol. 81, no. 3, pp. 86–92, Sep. 2020, doi: 10.26636/jtit.2020.138519.

Most read articles by the same author(s)