Abstract

The problem of polarized light scattering by a cylinder on or close to a planar substrate is analytically solved. The light is assumed to be normally incident to the axis of the cylinder. Transverse magnetic (TM) and transverse electric (TE) polarizations are treated separately. The solution for each polarization is composed of a coupled set of linear equations which couples the scattering characteristics of the cylinder and the planar substrate. The coupling comes from the scattering by the planar substrate and by the cylinder. The solution of the coupled set of equations obtained by iterative substitution consists of infinite series, where each term represents the contribution of single and multiple scatterings of all orders.

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  1. M. A. Taubenblatt1990Light scattering from cylindrical structures on surfacesOpt. Lett.15255257
  2. G. Videen1991Light scattering from a sphere on or near a surfaceJ. Opt. Soc. Am.A8483489
  3. G. Videen, M. G. Turner, V. J. Vincent, W. S. Bickel, and W. L. Wolfe1993Scattering from a small sphere near a surfaceJ. Opt. Soc. Am. A10118126
  4. M. A. Taubenblatt and T. K. Tran1993Calculation of light scattering from particles and structures on a surface by the coupled-dipole methodJ. Opt. Soc. Am. A10912919
  5. P. J. Valle, F. González, and F. Moreno1994Electromagnetic wave scattering from conducting cylindrical structures on flat substrates: study by means of the extinction theoremAppl. Opt.33512523
  6. A. Madrazo and M. Nieto-Vesperinas1995Scattering of electromagnetic waves from a cylinder in front of a conducting planeJ. Opt. Soc. Am. A1212981309
  7. R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini1996Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical wave approachJ. Opt. Soc. Am. A13483493
  8. R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini1996Plane-wave scattering by a set of perfectly conducting circular cylinders in the presence of a plane surfaceJ. Opt. Soc. Am. A1324412452
  9. G. Videen and D. Ngo1997Light scattering from a cylinder near a plane interface: theory and comparison with experimental dataJ. Opt. Soc. Am. A147078
  10. R. Borghi, M. Santarsiero, F. Frezza, and G. Schettini1997Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surfaceJ. Opt. Soc. Am. A1415001504
  11. E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sindoni1997Optical properties of a sphere in the vicinity of a plane surfaceJ. Opt. Soc. Am. A1415051514
  12. P. J. Valle, F. Moreno, and J. M. Saiz1998Comparison of real- and perfect-conductor approaches for scattering by a cylinder on a flat surfaceJ. Opt. Soc. Am. A15158162
  13. P. Denti, F. Borghese, R. Saija, E. Fucile, and O. I. Sidoni1999Optical properties of aggregated spheres in the vicinity of a plane surfaceJ. Opt. Soc. Am. A16167175
  14. J. S. Kim2017A theory of scalar wave scattering by a circular cylinder and a planar substrateJ. Korean Phys. Soc.70574579
  15. B. C. Park and J. S. Kim2018Theory of scalar wave scattering by a sphere and a planar substrateJ. Korean Phys. Soc.7315121518
  16. J. A. Stratton2007Electromagnetic TheoryWiley-IEEE PressHoboken, NJ, USA349391
  17. G. Cincotti, F. Gori, M. Santasiero, F. Frezza, F. Furno, and G. Schettini1993Plane wave expansion of cylindrical functionsOpt. Commun.95192198
  18. F. Frezza, G. Schettini, and N. Tedeschi2011Generalized plane-wave expansion of cylindrical functions in lossy media convergent in the whole complex planeOpt. Commun.28438673871
  19. G. B. Arfken, H. J. Weber, and F. E. Harris2012Mathematical Methods for Physicists9th edAcademic PressAmsterdam, Netherlands
  20. C. F. Bohren and D. R. Huffman1983Absorption and Scattering of Light by Small ParticlesWileyNY, USA
  21. E. Hecht2015Optics5th edPearsonLondon, UK
  22. P. Markos and C. M. Soukoulis2008Wave Propagation: From Electrons to Photonic Crystals and Left-Handed MaterialsPrinceton University PressPrinceton, UK316

Other (22)

M. A. Taubenblatt1990Light scattering from cylindrical structures on surfacesOpt. Lett.15255257

G. Videen1991Light scattering from a sphere on or near a surfaceJ. Opt. Soc. Am.A8483489

G. Videen, M. G. Turner, V. J. Vincent, W. S. Bickel, and W. L. Wolfe1993Scattering from a small sphere near a surfaceJ. Opt. Soc. Am. A10118126

M. A. Taubenblatt and T. K. Tran1993Calculation of light scattering from particles and structures on a surface by the coupled-dipole methodJ. Opt. Soc. Am. A10912919

P. J. Valle, F. González, and F. Moreno1994Electromagnetic wave scattering from conducting cylindrical structures on flat substrates: study by means of the extinction theoremAppl. Opt.33512523

A. Madrazo and M. Nieto-Vesperinas1995Scattering of electromagnetic waves from a cylinder in front of a conducting planeJ. Opt. Soc. Am. A1212981309

R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini1996Plane-wave scattering by a perfectly conducting circular cylinder near a plane surface: cylindrical wave approachJ. Opt. Soc. Am. A13483493

R. Borghi, F. Gori, M. Santarsiero, F. Frezza, and G. Schettini1996Plane-wave scattering by a set of perfectly conducting circular cylinders in the presence of a plane surfaceJ. Opt. Soc. Am. A1324412452

G. Videen and D. Ngo1997Light scattering from a cylinder near a plane interface: theory and comparison with experimental dataJ. Opt. Soc. Am. A147078

R. Borghi, M. Santarsiero, F. Frezza, and G. Schettini1997Plane-wave scattering by a dielectric circular cylinder parallel to a general reflecting flat surfaceJ. Opt. Soc. Am. A1415001504

E. Fucile, P. Denti, F. Borghese, R. Saija, and O. I. Sindoni1997Optical properties of a sphere in the vicinity of a plane surfaceJ. Opt. Soc. Am. A1415051514

P. J. Valle, F. Moreno, and J. M. Saiz1998Comparison of real- and perfect-conductor approaches for scattering by a cylinder on a flat surfaceJ. Opt. Soc. Am. A15158162

P. Denti, F. Borghese, R. Saija, E. Fucile, and O. I. Sidoni1999Optical properties of aggregated spheres in the vicinity of a plane surfaceJ. Opt. Soc. Am. A16167175

J. S. Kim2017A theory of scalar wave scattering by a circular cylinder and a planar substrateJ. Korean Phys. Soc.70574579

B. C. Park and J. S. Kim2018Theory of scalar wave scattering by a sphere and a planar substrateJ. Korean Phys. Soc.7315121518

J. A. Stratton2007Electromagnetic TheoryWiley-IEEE PressHoboken, NJ, USA349391

G. Cincotti, F. Gori, M. Santasiero, F. Frezza, F. Furno, and G. Schettini1993Plane wave expansion of cylindrical functionsOpt. Commun.95192198

F. Frezza, G. Schettini, and N. Tedeschi2011Generalized plane-wave expansion of cylindrical functions in lossy media convergent in the whole complex planeOpt. Commun.28438673871

G. B. Arfken, H. J. Weber, and F. E. Harris2012Mathematical Methods for Physicists9th edAcademic PressAmsterdam, Netherlands

C. F. Bohren and D. R. Huffman1983Absorption and Scattering of Light by Small ParticlesWileyNY, USA

E. Hecht2015Optics5th edPearsonLondon, UK

P. Markos and C. M. Soukoulis2008Wave Propagation: From Electrons to Photonic Crystals and Left-Handed MaterialsPrinceton University PressPrinceton, UK316

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