Nonlinear exceptional-point lasing with ab initio Maxwell– Bloch theory
Name
121303_1_online.pdf
Description
Published version
Size
4.97 MB
Format
Adobe PDF
Checksum (MD5)
21ed7671eef605c2d998a6f175391d97
Author(s)
Benzaouia, Mohammed
Stone, AD
Johnson, Steven G
Date Issued
December 15, 2022
Journal
APL Photonics
Publisher
AIP Publishing
Citation
Mohammed Benzaouia, A. D. Stone, Steven G. Johnson; Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory. APL Photonics 1 December 2022; 7 (12): 121303.
Version
Final published version
Abstract
We present a general analysis for finding and characterizing nonlinear exceptional point (EP) lasers above threshold using steady-state ab initio Maxwell–Bloch equations. For a system of coupled slabs, we show that a nonlinear EP is obtained for a given ratio between the external pumps in each resonator and that it is associated with a kink in the output power and lasing frequency, confirming coupled-mode theory predictions. Through numerical linear stability analysis, we confirm that the EP laser can be stable for a large enough inversion relaxation rate. We further show that the EP laser can be characterized by scattering a weak signal off the lasing cavity so that the scattering frequency spectrum exhibits a quartic divergence. Our approach can be applied to arbitrary scatterers with multi-level gain media.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
10.1063/5.0105963
