Mittag-Leffler expansion of the scattering matrix for spherical particles via rescaled scattering channels

Fösleitner, Elias, Canos Valero, Adria, Sztranyovszky, Zoltan, Muljarov, Egor ORCID: https://orcid.org/0000-0002-2878-4148, Koshelev, Kirill and Weiss, Thomas 2026. Mittag-Leffler expansion of the scattering matrix for spherical particles via rescaled scattering channels. Optics Letters 51 (9) , pp. 2656-2659. 10.1364/OL.585803

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Abstract

The optical scattering matrix describes how light interacts with scatterers by relating incoming and outgoing waves via scattering channels. It can be expanded in terms of optical resonances through a pole expansion, providing an efficient and physically intuitive alternative to full-wave simulations. Common choices for scattering channels coming from Mie theory result in scattering matrices being exponentially divergent in the complex frequency plane, preventing a Mittag-Leffler expansion. We show that a Mittag-Leffler expansion becomes possible by rescaling scattering channels. However, this approach is not unique. Certain rescalings can introduce new artificial poles that do not originate from optical resonances.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Schools > Physics and Astronomy
Additional Information:	RRS applied 07/04/2026 AB
Publisher:	Optica Publishing Group
ISSN:	0146-9592
Date of First Compliant Deposit:	7 April 2026
Date of Acceptance:	11 February 2026
Last Modified:	02 Jun 2026 13:00
URI:	https://orca.cardiff.ac.uk/id/eprint/186051

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