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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 6, Iss. 12 — Dec. 1, 1989
  • pp: 1846–1851

Interference structure of the Mie extinction cross section

Petr Chýlek and Jiyu Zhan  »View Author Affiliations


JOSA A, Vol. 6, Issue 12, pp. 1846-1851 (1989)
http://dx.doi.org/10.1364/JOSAA.6.001846


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Abstract

It is shown that, in the large-size-parameter region (xn2/2) the Re(an + bn) is independent of the summation index n. For real refractive indices m < 2.5 the dominating term of Re (an + bn) has an x dependence of the form sin2[(m − 1)x] leading to the periodicity of Re(an + bn) and of the extinction curve QEXT(x) given by Δx = π/(m − 1). The derived periodicity is the same as the periodicity of interference structure derived by using the anomalous diffraction approximation; however, our derivation is not limited by the anomalous diffraction condition m − 1 ≪ 1. At refractive indices m > 2.5 the extinction curve does not have a simple periodic structure, since several terms of approximately equal magnitudes and different x dependences contribute to the Re(an + bn).

© 1989 Optical Society of America

History
Original Manuscript: February 22, 1989
Manuscript Accepted: July 19, 1989
Published: December 1, 1989

Citation
Petr Chýlek and Jiyu Zhan, "Interference structure of the Mie extinction cross section," J. Opt. Soc. Am. A 6, 1846-1851 (1989)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-6-12-1846


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