Nonlinear tunnel oscillations of light in spherical Bragg resonators
Abstract
A weakly nonlinear regime of radial tunneling is theoretically considered for a light wave in a spherical dielectric Bragg resonator containing a set of ``shell'' eigenmodes (both TE and TM) with different azimuthal numbers lgeqslant 1, which are concentrated near a defect of the Bragg structure, several layers away from the origin. Also, a single mixed radial mode with l=1 is located near the resonator center, either TM or TE. Nonlinearity of Kerr type in the main approximation is actual for the central mode only, while all the shell modes remain in the linear regime. The tunneling occurs between the central mode and the shell l=1 mode of the same symmetry. Nontrivial part of the dynamics of optical field is described by a Hamiltonian system of ordinary differential equations for complex vectors bf C1(t) and bf C2(t), which determine the magnitude and spatial orientation of the wave structures at the center and at the shell, respectively. Depending on ``asymmetry parameter'' of tunnel coupling, the system demonstrates different variants of nonlinear behavior.
Related
- Aberration stabilized light bullets in normal dispersion injected Kerr resonators
- Nonadiabatic dynamics under slow parametric modulation in nonlinear graphene resonators
- A model-inversion control strategy to attain desired equilibrium points when synthesizing nonlinear resonators
- Light-Cone Friedel Oscillations: a Window into van Hove Superconductivity
- Weakly nonlinear dynamics of follower-force-induced oscillations in Cosserat rods
BibTeX
@misc{ruban2026nonlinear,
title = {{Nonlinear tunnel oscillations of light in spherical Bragg resonators}},
author = {Victor P. Ruban},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.19731},
eprint = {2608.19731},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.19731},
}
RIS
TY - UNPB
TI - Nonlinear tunnel oscillations of light in spherical Bragg resonators
AU - Victor P. Ruban
PY - 2026
DA - 2026/09/21
PB - arXiv
DO - 10.48550/arxiv.2608.19731
UR - https://arxiv.org/abs/2608.19731
AB - A weakly nonlinear regime of radial tunneling is theoretically considered for a light wave in a spherical dielectric Bragg resonator containing a set of ``shell'' eigenmodes (both TE and TM) with different azimuthal numbers lgeqslant 1, which are concentrated near a defect of the Bragg structure, several layers away from the origin. Also, a single mixed radial mode with l=1 is located near the resonator center, either TM or TE. Nonlinearity of Kerr type in the main approximation is actual for the central mode only, while all the shell modes remain in the linear regime. The tunneling occurs between the central mode and the shell l=1 mode of the same symmetry. Nontrivial part of the dynamics of optical field is described by a Hamiltonian system of ordinary differential equations for complex vectors bf C_1(t) and bf C_2(t), which determine the magnitude and spatial orientation of the wave structures at the center and at the shell, respectively. Depending on ``asymmetry parameter'' of tunnel coupling, the system demonstrates different variants of nonlinear behavior.
ER -