Abstract
Light scattered from particles near a plane interface have important implications in many branches of science. Applications range from radar detection and remote sensing to clean-room monitoring and quality control in the manufacture of silicon wafers. The most fundamental system of this type is that of a sphere near a plane interface. Calculating the scattering is complicated because the boundary conditions at the sphere and plane surfaces must be satisfied simultaneously, and these two systems represent two fundamentally different geometries. In this chapter we present an analytical solution to this problem that retains the physics and may be used as a basis for more numerically intensive techniques necessary when the system constituents become irregular.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bobbert, P. A., Vlieger, J. (1986) Light scattering by a sphere on a substrate. Physica 137A, 209–241
Borghese, F., Denti, P., Saija R., Fucile, E., and Sindoni O. I. (1995) Optical properties of model anisotropic particles on or near a perfectly reflecting surface. J. Opt. Soc. Am. A 12, 530–540
Cruzan, O. R. (1962) Translation addition theorems for spherical vector wave functions. Quart. Appl. Math. 20, 33–44
Fucile, E., Denti, P., Borghese, F., Saija, R., and Sindoni, O. I. (1997) Optical properties of a sphere in the vicinity of a plane surface. J. Opt. Soc. Am. A 14, 1505–1514
Johnson, B. R. (1992) Light scattering from a spherical particle on a conducting plane. I. Normal incidence. J. Opt. Soc. Am. A 9 1341–1351; Erratum. J. Opt. Soc. Am. A 10, 766
Johnson, B. R. (1996) Calculation of light scattering from a spherical particle on a surface by multipole expansion method. J. Opt. Soc. Am. A 13 326–337
Stein, S. (1961) Addition theorems for spherical wave functions. Quart. Appl. Math. 19, 15–24
Videen, G. (1991) Light scattering from a sphere on or near a substrate. J. Opt. Soc. Am. A 8, 483–489; Errata. (1992) J. Opt. Soc. Am. A 9, 844-845
Videen, G. (1995) Light scattering from a particle on or near a perfectly conducting surface. Opt. Comm. 115, 1–7
Wriedt, T., Doicu, A. (1998) Light scattering from a particle on or near a surface. Opt. Comm. 152, 376–384
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Videen, G. (2000). Light Scattering from a Sphere Near a Plane Interface. In: Moreno, F., González, F. (eds) Light Scattering from Microstructures. Lecture Notes in Physics, vol 534. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46614-2_5
Download citation
DOI: https://doi.org/10.1007/3-540-46614-2_5
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-66937-1
Online ISBN: 978-3-540-46614-7
eBook Packages: Springer Book Archive