A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators
Abstract
Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies. Here, an effective Hamiltonian approach is proposed to analyze the complex eigenvalues of scattering systems. By imposing zero scattering constraints (i.e., transmission or reflection zeros) on the Hamiltonian of a two‐mode photonic system, the complex eigenvalues corresponding to transmissionless and reflectionless modes are calculated and it is revealed that the Kerker anomalies are a result of spontaneous parity‐time (PT)‐symmetry‐breaking in the complex plane. This formalism provides a generic method to study non‐Hermitian scattering and offers physical insights into coupled‐mode resonating systems. Furthermore, it provides universal rules for designing photonic devices with unidirectional scattering and full 2π phase modulation.
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BibTeX
@article{hamdan2026complexfrequency,
title = {{A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators}},
author = {Loubnan Abou Hamdan and Aloke Jana and Rémi Colom and Nour Abouyoussef and Cooper Carlson and Adam Overvig and Felix Binkowski and Sven Burger and Patrice Genevet},
journal = {Laser and Photonics Reviews},
year = {2026},
month = oct,
doi = {10.1002/lpor.202500836},
url = {https://hal.science/hal-05843328v1},
note = {CC BY-NC-ND},
}
RIS
TY - JOUR
TI - A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators
AU - Loubnan Abou Hamdan
AU - Aloke Jana
AU - Rémi Colom
AU - Nour Abouyoussef
AU - Cooper Carlson
AU - Adam Overvig
AU - Felix Binkowski
AU - Sven Burger
AU - Patrice Genevet
PY - 2026
DA - 2026/10/09
JO - Laser and Photonics Reviews
DO - 10.1002/lpor.202500836
UR - https://hal.science/hal-05843328v1
AB - Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies. Here, an effective Hamiltonian approach is proposed to analyze the complex eigenvalues of scattering systems. By imposing zero scattering constraints (i.e., transmission or reflection zeros) on the Hamiltonian of a two‐mode photonic system, the complex eigenvalues corresponding to transmissionless and reflectionless modes are calculated and it is revealed that the Kerker anomalies are a result of spontaneous parity‐time (PT)‐symmetry‐breaking in the complex plane. This formalism provides a generic method to study non‐Hermitian scattering and offers physical insights into coupled‐mode resonating systems. Furthermore, it provides universal rules for designing photonic devices with unidirectional scattering and full 2π phase modulation.
SN - 1863-8880
SN - 1863-8899
ER -