Mbsolve: An open-source solver tool for the Maxwell-Bloch equations

Abstract

The Maxwell-Bloch equations are a valuable tool to model light-matter interaction, where the application examples range from the description of pulse propagation in two-level media to the elaborate simulation of optoelectronic devices, such as the quantum cascade laser (QCL). In this work, we present mbsolve, an open-source solver tool for the Maxwell-Bloch equations. Here, we consider the one-dimensional Maxwell's equations, which are coupled to the Lindblad equation. The resulting generalized Maxwell-Bloch equations are treated without invoking the rotating wave approximation (RWA). Since this full-wave treatment is computationally intensive, we provide a flexible framework to implement different numerical methods and/or parallelization techniques. On this basis, we offer two solver implementations that use OpenMP for parallelization.

References in corpus (6)

• Modeling techniques for quantum cascade lasers
• Optoelectronic device simulations based on macroscopic Maxwell-Bloch equations
• Mbsolve: An open-source solver tool for the Maxwell-Bloch equations
• bertha: Project Skeleton for Scientific Software
• Numerical Method for the Maxwell-Liouville-von Neumann Equations using Efficient Matrix Exponential Computations
• Propagation of optically tunable coherent radiation in a gas of polar molecules

Cited by in corpus (7)

• Mbsolve: An open-source solver tool for the Maxwell-Bloch equations
• bertha: Project Skeleton for Scientific Software
• High-order accurate schemes for Maxwell's equations with nonlinear active media and material interfaces
• CoOMBE: A suite of open-source programs for the integration of the optical Bloch equations and Maxwell-Bloch equations
• Reducing the reflection error of PML absorbing boundary conditions within a generalized Maxwell-Bloch framework
• Stochastic correction to the Maxwell-Bloch equations via the positive $P$ representation
• Terahertz frequency combs exploiting an on-chip solution processed graphene-quantum cascade laser coupled-cavity architecture