Steady state Ab-initio Theory of Lasers with Injected Signals

TL;DR

This paper develops an ab-initio steady-state laser theory with injected signals, capturing complex phenomena like multimode lasing, partial locking, and frequency repulsion, applicable to modern micro and disk lasers.

Contribution

It introduces a comprehensive ab-initio framework that extends standard laser theories to include multimode and spatial effects with injected signals.

Findings

Theory matches well with full wave simulations.

Describes partially locked and frequency-repulsion phenomena.

Reduces to improved Adler equations in 1D cavity limit.

Abstract

We present an ab-initio treatment of the steady-state of lasers with injected signals that describes a regime, valid for micro lasers, in which the locking transition is dominated by cross-saturation and spatial hole-burning. The theory goes beyond standard approaches and treats multimode lasing with injected signals and finds the possibility of partially locked states and as well as repulsion of the free-running frequencies from the injected signal. The theory agrees well with exact integration of the full wave and matter equations for the system. It can also describe accurately complex modern lasers structures and is applied to the example of deformed disk lasers. We show that in the case of a one dimensional cavity in the locked or regenerative amplifier regime the theory reduces to an improved version of the Adler equations in the appropriate limit.