High gain squeezing in lossy resonators: an asymptotic field approach

TL;DR

This paper introduces a non-perturbative asymptotic-in/out field formalism for modeling nonlinear electromagnetic interactions in integrated photonic devices, enabling accurate analysis of high-gain squeezing in lossy resonators with pulsed inputs.

Contribution

It extends previous asymptotic methods to arbitrary pulsed inputs and includes a variety of third-order interactions, providing a versatile framework for integrated photonics modeling.

Findings

Method accurately models high-gain squeezing in lossy resonators.

Results match well with standard coupled-mode and perturbative treatments.

Framework is generalizable to various integrated photonic structures.

Abstract

We present a method for describing nonlinear electromagnetic interactions in integrated photonic devices utilizing an asymptotic-in/out field formalism. Our method expands upon previous continuous wave asymptotic treatments by describing the evolution non-perturbatively for an arbitrary pulsed input. This is presented in the context of a squeezing interaction within an integrated microring resonator side coupled to an input/output waveguide, but is readily generalizable to other integrated structures, while including a variety of (non-squeezing) third-order interactions. An example of a single-pump, non-degenerate squeezing interaction is studied, which is shown to match well with standard coupled-mode treatments for high-finesse resonators, as well as previous perturbative treatments dealing with the generation of pairs with low probability.