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Optoelectronic Device Modeling

CFD Research Corporation provides integrated software tools and modeling expertise for multiscale, multiphysics design of variety of optolectronic devices, including Quantum-Well (QW) based light sources (VCSELs, Edge-Emitting Lasers), photodetectors (MSM, p-i-n), and others.

Coupled Multiphysics Simulations of QW Lasers

O'SEMI (Optical-Semiconductor) software offers coupled multiphysics solutions for simulations of QW lasers. The salient features include the following:

  • O'SEMI input tools allow convenient and fast building models of complex architectures of vertical-cavity surface-emitting lasers (VCSELs) and Edge-Emitting Lasers (EELs).
  • Parametric design and optimization tools, based on Python scripting.
  • Automatic, script-based runs to obtain I-V and L-I characteristics.
  • CFD-VIEW for detailed data and results visualization.
  • Customized output of selected quantities to a text file.
  • Multiple quantum wells, Multiple transverse modes.
  • Transient simulation. Laser dynamics. Very fast solution.

CFDRC's Comprehensive model of VCSEL couples:

  • Advanced optical models, including Weighted Index Method (scalar, Body of Revolution) and Method of Lines (scalar and vectorial).
  • The Semiconductor Device electric model, based on drift-diffusion (DD) equations for carrier densities and energy balance (EB) equations for carrier temperatures, resulting in spatially dependent current flow;
  • Optical gain models: linear, logarithmic, advanced quantum physics, curve fit to advanced model.
  • Refractive index model: dependent on wavelength, temperature, quantum well width, waveguide width, electric carrier concentration, and mole fraction for compound semiconductors.
  • Spatially and time dependent temperature solution included into gain and refractive index models.

Such an advanced VCSEL model is required to predict realistic behavior of various laser devices for the spatially nonuniform gain, due to current crowding. Nonuniform gain has a visible effect on laser dynamics and parameters, such as threshold gain. These modeling capabilities are not available in most of the VCSEL simulators present on the market.


Steady-State Radial Distribution of Intensity in Different Transverse Modes for VCSEL with 6-Micrometer Oxide Aperture


Selected Snapshots of Transient Behavior of Total Optical Intensity during the Multi-Transverse-Mode VCSEL Switching

How the Optical Solution is Obtained

The solution for VCSEL transverse and axial field distribution in the modes as well as their lasing frequencies consist of the solution of an eigenvalue problem for the Helmholtz equation in cylindrical coordinates, and the boundary value problem set by the boundary conditions at VCSEL layer and radial region interfaces. For each mode, the photon rate equation is solved, including optical losses, and spontaneous and stimulated emission terms take into account spatially and time-dependent material gain. Corresponding stimulated and spontaneous emission terms are responsible for carrier relaxation in the electrical model. At each time step, updated carrier concentration and temperature are used in gain and refractive index models. A new solution for optical modes is obtained using the updated gain and refractive index.

Example Results of VCSEL Simulations


Calculated Light-Current (L-I) and Current-Voltage (I-V)
steady-state characteristics for the intracavity VCSEL


Current Flow and Electron Density Distribution inside an
Intra-Cavity VCSEL Device


Transient Behavior of Multi-Transverse-Mode VCSEL. Photon Numbers in Single Modes and Total Number of Photons in
the Cavity

 

Coupled Full-Wave Optical and Semiconductor Photodetector Analysis

CFDRC offers an integrated, optical and electrical analysis tool for high-fidelity modeling of photodetectors. It includes a full-wave optical Electromagnetic Solver (EMAG) coupled with CFDRC's TCAD software. A user-friendly interface allows for easy parametric analysis and optimization in the design process. The interface also enables simulator use via the Internet.

Application Example of Coupled EMAG and SemiDevice Simulation of Metal-Semiconductor-Metal (MSM) Photodetector

  • Model Setup: A python script enables easy parametric studies and optimization. Any of the parameters can be changed using the python script, and system response can be simulated accordingly.

  • Optical Wave: Electric field distribution at photodetector.

  • Power Absorbtion and carrier generation in semiconductor.

  • Computed time evolution of spatial distribution of electrons generated by light pulse of 1 ps.

  • Calculated photodetector current as a function of time.
 
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