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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 36, Iss. 21 — Jul. 20, 1997
  • pp: 5238–5245

Electromagnetic wave interactions with dielectric particles. I. Integral equation reformation

Mostafa A. Karam  »View Author Affiliations


Applied Optics, Vol. 36, Issue 21, pp. 5238-5245 (1997)
http://dx.doi.org/10.1364/AO.36.005238


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Abstract

The conventional integral equation governing the electric field inside dielectric particles is reformed to bridge and to provide mathematical foundations for analytic techniques widely used to estimate such a field. The solution of the reformed equation inside a dielectric slab explained how inner-field formulations based on the Rayleigh, the Rayleigh–Gans, the quasi-static, and the Shifrin approximations can be supported by the particles. It also confirmed the approach employed to reform the integral equation. The analysis performed uncovered the differences between the depolarization tensor characterizing electrostatic fields inside the particles and the source dyadic resulting from the extraction of the singularity of the integral equation kernel.

© 1997 Optical Society of America

History
Original Manuscript: April 4, 1996
Revised Manuscript: February 10, 1997
Published: July 20, 1997

Citation
Mostafa A. Karam, "Electromagnetic wave interactions with dielectric particles. I. Integral equation reformation," Appl. Opt. 36, 5238-5245 (1997)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-36-21-5238


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References

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