Electromagnetic simulation of quantum well structures.

Area of Science:

• Computational physics
• Semiconductor optics
• Electromagnetics

Background:

• Modeling wave propagation in gain or absorbing media is crucial for understanding quantum well devices.
• Traditional methods may face challenges in accurately capturing the complex optical responses of such materials.

Purpose of the Study:

• To introduce a novel numerical approach for simulating electromagnetic wave propagation in gain or absorbing media.
• To accurately model wave propagation within quantum well structures using a new computational technique.

Main Methods:

• Derivation of semiconductor macroscopic susceptibility using quantum electronics theory.
• Expression of susceptibility via a multiple-Lorentz-like model employing Prony's method.
• Simulation of each Lorentz-like model in the time domain using the auxiliary differential equation (ADE) method.
• Determination of induced polarization by summing contributions from all Lorentz-like models.
• Incorporation of induced polarization into time-domain Maxwell's equations for FDTD simulation.

Main Results:

• Successfully developed an auxiliary differential equation Finite-difference Time-domain (ADE-FDTD) approach.
• The ADE-FDTD method accurately models wave propagation in gain and absorbing media.
• The approach effectively simulates electromagnetic wave interactions within quantum well structures.

Conclusions:

• The presented ADE-FDTD method offers an accurate and efficient way to model wave propagation in complex optical media.
• This technique provides a valuable tool for the design and analysis of quantum well devices and other optoelectronic applications.