## 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 <i>N</i>), which unavoidably produces errors. On the other hand, it is known that the contributions of terms of order <i>l</i> with <i>x</i> <<i>l</i> < <i>N</i>, where <i>x</i> 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

**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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