PreprintarXiv licencearXiv
An Eigenmode Expansion Framework for Bi-Directional Multimode Nonlinear Mixing Processes
Abstract
An approach to simulating complex photonic systems is the eigenmode expansion method, in which scattering matrices are used to model and track the electric field in layered media. In this work, we formulate parametric nonlinear processes within the eigenmode expansion framework, enabling the simulation of nonlinear generation in varying photonic systems. This new simulation method includes both classical nonlinear processes and their quantum counterparts, including spontaneous parametric down-conversion and spontaneous four-wave mixing.
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BibTeX
@misc{povedahospital2026eigenmode,
title = {{An Eigenmode Expansion Framework for Bi-Directional Multimode Nonlinear Mixing Processes}},
author = {Salvador Poveda-Hospital and Vincent Girouard and Yves-Alain Peter},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.37846},
eprint = {2610.37846},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.37846},
}
RIS
TY - UNPB
TI - An Eigenmode Expansion Framework for Bi-Directional Multimode Nonlinear Mixing Processes
AU - Salvador Poveda-Hospital
AU - Vincent Girouard
AU - Yves-Alain Peter
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.37846
UR - https://arxiv.org/abs/2610.37846
AB - An approach to simulating complex photonic systems is the eigenmode expansion method, in which scattering matrices are used to model and track the electric field in layered media. In this work, we formulate parametric nonlinear processes within the eigenmode expansion framework, enabling the simulation of nonlinear generation in varying photonic systems. This new simulation method includes both classical nonlinear processes and their quantum counterparts, including spontaneous parametric down-conversion and spontaneous four-wave mixing.
ER -