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

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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