Complete rate equation modelling of quantum cascade lasers for the analysis of temperature effects

Saha, Sumit Kumar; Kumar, Jitendra

doi:10.1016/j.infrared.2016.09.013

Cited by 9 publications

(2 citation statements)

References 23 publications

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“…The rate equation method (Donovan et al 2001;Indjin et al 2002aIndjin et al , b, 2003Indjin et al , 2004Chen et al 2011;Saha and Kumar 2016), often applied to the description of the properties of QCL structures is based on the semiclassical electron transport model (transport dominated by scattering) described by Boltzmann equation, which in fact, is the same physical model as in the MC method. The important point is that the algorithm is easier to implement and less demanding of computational time, at the price of an additional hypothesis about the shape of the electron distribution function, which is usually taken as a Fermi-Dirac distribution, or in even simpler models by using phenomenological values of electron scattering times between subbands.…”

Section: Versus Other Methods Used For Qcl Modelingmentioning

confidence: 99%

Monte Carlo modeling applied to studies of quantum cascade lasers

2017

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One of the commonly used approaches of solving electron transport problems in quantum cascade lasers (QCL) is the Monte Carlo (MC) method, based on semiclassical description in the framework of the Boltzmann Transport Equation. A major benefit of MC modeling is that it only relies on well-established material parameters and structure specification, in most cases without the need to use phenomenological parameters. The results of the modeling can be easily interpreted and they give microscopic insight of QCL operation. The goal of the present paper is to review the application of the MC technique to the studies of operation of QCL. The description of the components of the simulation algorithm is provided. Various physical mechanisms governing electron transport in QCL are described and their influence on the operation are reviewed.

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Section: Versus Other Methods Used For Qcl Modelingmentioning

confidence: 99%

Monte Carlo modeling applied to studies of quantum cascade lasers

2017

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“…The potential of the SL was consistent with the Kronig-Penney model and it took the form of a rectangular wave, while the method of bonding wave functions and their derivatives at the boundaries of superlattice layers were used to determine the electron states. Over the years, the models underwent many improvements, of which the approach to solve the Schrödinger equation with a rate equation method (RE) [7,8] was particularly interesting. This method assumes the boundary conditions to have taken the form of hard walls at the edges of the structure composed of three consecutive periods of SL, and the solutions obtained for the central period to be representative of the whole method assumes the boundary conditions to have taken the form of hard walls at the edges of the structure composed of three consecutive periods of SL, and the solutions obtained for the central period to be representative of the whole system.…”

Section: Introductionmentioning

confidence: 99%

Effective Simulations of Electronic Transport in 2D Structures Based on Semiconductor Superlattice Infinite Model

Mączka

2020

Electronics

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Effective simulations of semiconductor superlattices are presented in the paper. The simulations have been based on the Wannier function method approach where a new algorithm, inspired by Büttiker probes, has been incorporated into determining the Green function procedure. The program is of a modular structure, and its modules can either work independently, or interact with each other following a predefined algorithm. Such structuring not only accelerates simulations and makes the transport parameters possible to initially assess, but also enables accurate analysis of quantum phenomena occurring in semiconductor superlattices. In this paper, the capabilities of type I superlattice simulator, developed earlier, are presented, with particular emphasis on the new block where the Fermi levels are determined by applying Büttiker probes. The algorithms and methods used in the program are briefly described in the further chapters of our work, where we also provide graphics illustrating the results obtained for the simulated structures known from the literature.

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