Quasinormal-Mode Expansion of the Scattering Matrix

Title

Quasinormal-Mode Expansion of the Scattering Matrix

 Author

Alpeggiani, F. (TU Delft QN/Kuipers Lab; AMOLF; Kavli institute of nanoscience Delft)
Parappurath, N. (AMOLF)
Verhagen, E. (AMOLF)
Kuipers, L. (TU Delft QN/Quantum Nanoscience; AMOLF; Kavli institute of nanoscience Delft)

Department

QN/Quantum Nanoscience

 Date

2017

 Abstract

It is well known that the quasinormal modes (or resonant states) of photonic structures can be associated with the poles of the scattering matrix of the system in the complex-frequency plane. In this work, the inverse problem, i.e., the reconstruction of the scattering matrix from the knowledge of the quasinormal modes, is addressed. We develop a general and scalable quasinormal-mode expansion of the scattering matrix, requiring only the complex eigenfrequencies and the far-field properties of the eigenmodes. The theory is validated by applying it to illustrative nanophotonic systems with multiple overlapping electromagnetic modes. The examples demonstrate that our theory provides an accurate first-principles prediction of the scattering properties, without the need for postulating ad hoc nonresonant channels.

 To reference this document use:

http://resolver.tudelft.nl/uuid:47556c25-e634-4fcc-9fdf-c2e82d5a5c40

 DOI

https://doi.org/10.1103/PhysRevX.7.021035

 ISSN

2160-3308

 Source

Physical Review B, 7 (2)

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2017 F. Alpeggiani, N. Parappurath, E. Verhagen, L. Kuipers
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