Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory
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 reson...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIP Publishing LLC
2022-12-01
|
| Series: | APL Photonics |
| Online Access: | http://dx.doi.org/10.1063/5.0105963 |
| _version_ | 1797947400169455616 |
|---|---|
| author | Mohammed Benzaouia A. D. Stone Steven G. Johnson |
| author_facet | Mohammed Benzaouia A. D. Stone Steven G. Johnson |
| author_sort | Mohammed Benzaouia |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-10T21:27:09Z |
| format | Article |
| id | doaj.art-6d740d1b1b0341589fb4efc881caf6ce |
| institution | Directory Open Access Journal |
| issn | 2378-0967 |
| language | English |
| last_indexed | 2024-04-10T21:27:09Z |
| publishDate | 2022-12-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | APL Photonics |
| spelling | doaj.art-6d740d1b1b0341589fb4efc881caf6ce2023-01-19T16:30:12ZengAIP Publishing LLCAPL Photonics2378-09672022-12-01712121303121303-610.1063/5.0105963Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theoryMohammed Benzaouia0A. D. Stone1Steven G. Johnson2Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USADepartment of Applied Physics, Yale University, New Haven, Connecticut 06520, USADepartment of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USAWe 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.http://dx.doi.org/10.1063/5.0105963 |
| spellingShingle | Mohammed Benzaouia A. D. Stone Steven G. Johnson Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory APL Photonics |
| title | Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory |
| title_full | Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory |
| title_fullStr | Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory |
| title_full_unstemmed | Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory |
| title_short | Nonlinear exceptional-point lasing with ab initio Maxwell–Bloch theory |
| title_sort | nonlinear exceptional point lasing with ab initio maxwell bloch theory |
| url | http://dx.doi.org/10.1063/5.0105963 |
| work_keys_str_mv | AT mohammedbenzaouia nonlinearexceptionalpointlasingwithabinitiomaxwellblochtheory AT adstone nonlinearexceptionalpointlasingwithabinitiomaxwellblochtheory AT stevengjohnson nonlinearexceptionalpointlasingwithabinitiomaxwellblochtheory |