Imaging spheres with general incident wavefronts using a dipole decomposition

S. H. Izen, B. Ovryn

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Although scattering from spheres with plane wave illumination was solved precisely by Mie in 1909, often it is of interest to image spheres with non-planar illumination. An extension of Mie theory which incorporates non-planar illumination requires knowledge of the coefficients for a spherical harmonic expansion of the incident wavefront about the center of the sphere. These coefficients have been determined for a few special cases, such as Gaussian beams, which have a relatively simple model. Using a vectorized Huygen's principle, a general vector wavefront can be represented as a superposition of dipole sources. We have computed the spherical wave function expansion coefficients of an arbitrarily placed dipole and hence the scattering from a sphere illuminated by a general wavefront can be computed. As a special case, Mie's solution of plane wave scattering was recovered. Potential applications include scattering with partially coherent illumination. Experimental results from the scattering from polystyrene spheres using Köhler illumination show agreement with numerical tests.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
EditorsC.J. Cogswell, J.A. Conchello, J.M. Lerner, T. Lu, T. Wilson
Pages7-16
Number of pages10
Volume3261
DOIs
StatePublished - 1998
Externally publishedYes
EventProceedings of Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing V - San Jose, CA, United States
Duration: Jan 27 1998Jan 29 1998

Other

OtherProceedings of Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing V
CountryUnited States
CitySan Jose, CA
Period1/27/981/29/98

Fingerprint

Wavefronts
Lighting
illumination
Scattering
dipoles
Decomposition
Imaging techniques
decomposition
scattering
plane waves
coefficients
Huygens principle
expansion
spherical waves
Gaussian beams
Mie scattering
spherical harmonics
wave scattering
Wave functions
Polystyrenes

Keywords

  • Generalized Mie theory
  • Scattering
  • Spherical wave functions

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Condensed Matter Physics

Cite this

Izen, S. H., & Ovryn, B. (1998). Imaging spheres with general incident wavefronts using a dipole decomposition. In C. J. Cogswell, J. A. Conchello, J. M. Lerner, T. Lu, & T. Wilson (Eds.), Proceedings of SPIE - The International Society for Optical Engineering (Vol. 3261, pp. 7-16) https://doi.org/10.1117/12.310545

Imaging spheres with general incident wavefronts using a dipole decomposition. / Izen, S. H.; Ovryn, B.

Proceedings of SPIE - The International Society for Optical Engineering. ed. / C.J. Cogswell; J.A. Conchello; J.M. Lerner; T. Lu; T. Wilson. Vol. 3261 1998. p. 7-16.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Izen, SH & Ovryn, B 1998, Imaging spheres with general incident wavefronts using a dipole decomposition. in CJ Cogswell, JA Conchello, JM Lerner, T Lu & T Wilson (eds), Proceedings of SPIE - The International Society for Optical Engineering. vol. 3261, pp. 7-16, Proceedings of Three-Dimensional and Multidimensional Microscopy: Image Acquisition and Processing V, San Jose, CA, United States, 1/27/98. https://doi.org/10.1117/12.310545
Izen SH, Ovryn B. Imaging spheres with general incident wavefronts using a dipole decomposition. In Cogswell CJ, Conchello JA, Lerner JM, Lu T, Wilson T, editors, Proceedings of SPIE - The International Society for Optical Engineering. Vol. 3261. 1998. p. 7-16 https://doi.org/10.1117/12.310545
Izen, S. H. ; Ovryn, B. / Imaging spheres with general incident wavefronts using a dipole decomposition. Proceedings of SPIE - The International Society for Optical Engineering. editor / C.J. Cogswell ; J.A. Conchello ; J.M. Lerner ; T. Lu ; T. Wilson. Vol. 3261 1998. pp. 7-16
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