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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 12 — Apr. 20, 1998
  • pp: 2483–2492

Controlled modification of the expansion order as a tool in Mie computations

Günther Roll, Thomas Kaiser, and Gustav Schweiger  »View Author Affiliations


Applied Optics, Vol. 37, Issue 12, pp. 2483-2492 (1998)
http://dx.doi.org/10.1364/AO.37.002483


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Abstract

In the framework of Mie theory the involved electromagnetic fields are expanded in an infinite series of multipoles. In numerical computations the summation has to be terminated after a finite number of terms (the expansion order N), which unavoidably produces errors. On the other hand, it is known that the contributions of terms of order l with x < l < N, where x is the dimensionless size parameter, are highly localized, i.e., these contributions appear as sharp peaks in resonance spectra. We show that it is possible to specify the expansion order in a controlled manner to extract certain features from Mie spectra. This controlled modification of the expansion order can be used as a high-pass, low-pass or bandpass filter. Formulas that serve as linewidth (frequency) and resonance-order filters are given, and their usage is demonstrated.

© 1998 Optical Society of America

OCIS Codes
(260.5740) Physical optics : Resonance
(290.0290) Scattering : Scattering
(290.3700) Scattering : Linewidth
(290.4020) Scattering : Mie theory

History
Original Manuscript: August 12, 1997
Revised Manuscript: December 18, 1997
Published: April 20, 1998

Citation
Günther Roll, Thomas Kaiser, and Gustav Schweiger, "Controlled modification of the expansion order as a tool in Mie computations," Appl. Opt. 37, 2483-2492 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-12-2483

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