Analysis of Wavefunction Distribution in Quantum Well Biased Laser Diode Using Transfer Matrix Method

Patil, Edmund Samuel and Dyneshwar

doi:10.2528/pierl07111902

Cited by 22 publications

(17 citation statements)

References 22 publications

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“…Recently, there has been a considerable increase in research interest directed towards the development of optoelectronic devices based on quantum well heterostructures [20][21][22][23], guided wave devices [24][25][26] and quantum nanostructures [27,28]. To understand the physical properties of device structures, it is important to simulate the expected performance on a computer.…”

Section: Theoretical Analysismentioning

confidence: 99%

ANALYSIS OF WAVE FUNCTION, ENERGY AND TRANSMISSION COEFFICIENTS IN GaN/ALGaN SUPERLATTICE NANOSTRUCTURES

Talele¹,

Patil²

2008

PIER

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Abstract-Analysis of wave function intensity, eigen energy and transmission coefficients in GaN/AlGaN superlattice nanostructure has been carried out using Transfer Matrix Method (TMM). The effect of change in Aluminum mole fraction in Al x Ga 1−x N barrier region has been included through variable effective mass in the Schrödinger time independent equation. The behaviour of wave function intensity has been studied for superlattice structure by changing the barrier width. The effect of smaller barrier width on wave function intensity in case of superlattice is clearly observed due to interaction of wave functions in the adjacent wells and it provides a new insight in the nature of interacting wave functions for thin barriers in GaN/AlGaN superlattice structures. The barrier widths have been optimized for the varying number of wells leading to better quantum confinement. The iterative method (Secant Method) is used to determine value of electron energy E. The number of iterations need to converge the value of E has been simulated. Transmission coefficients have been determined as a function of energy E considering tunneling effect for three well structures using TMM. Analysis has been extended to show surface image of wave function intensity for 5 and 6 wells.

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Section: Theoretical Analysismentioning

confidence: 99%

ANALYSIS OF WAVE FUNCTION, ENERGY AND TRANSMISSION COEFFICIENTS IN GaN/ALGaN SUPERLATTICE NANOSTRUCTURES

Talele¹,

Patil²

2008

PIER

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“…This has resulted in a number of new phenomena, which concern a reduction of sample dimensions. These effects differ from those in bulk semiconductors, for example, electronphonon interaction effects in two-dimensional electron gases (Mori & Ando, 1989;Rucker et al, 1992;Butscher & Knorr, 2006), electron-phonon interaction and scattering rates in one-dimensional systems (Antonyuk et al, 2004;Kim et al, 1991) and dc electrical conductivity (Vasilopoulos et al, 1987;Suzuki, 1992), the electronic structure (Gaggero-Sager et al, 2007), the wave function distribution (Samuel & Patil, 2008) and electron subband structure and mobility trends in quantum wells (Ariza-Flores & Rodriguez-Vargas, 2008). The absorption of electromagnetic wave in bulk semiconductors, as well as low dimensional systems has also been investigated (Shmelev et al, 1978;Bau & Phong, 1998;Bau et al, 2002;.…”

Section: Introductionmentioning

confidence: 99%

The Nonlinear Absorption of a Strong Electromagnetic Wave in Low-dimensional Systems

Bau¹,

Trien²

2011

Wave Propagation

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22www.intechopen.com 2 Electromagnetic Waves systems. The problem is considered in two cases: electron-optical phonon scattering and electron-acoustic phonon scattering. Numerical calculations are carried out with a AlAs/GaAs/AlAs quantum well, a compensated n-p n-GaAs/p-GaAs doped superlattices, a specific GaAs/GaAsAl quantum wire. This book chapter is organized as follows: In section 2, we study the nonlinear absorption of a strong electromagnetic wave by confined electrons in a quantum well. Section 3 presents the nonlinear absorption of a strong electromagnetic wave by confined electrons in a doped superlattice. The nonlinear absorption of a strong electromagnetic wave by confined electrons in a cylindrical quantum wire and in a rectangular quantum wire is presented in section 4 and section 5. Conclusions are given in the section 6.

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“…Owing to the synchronized development in material science and nano-fabrication technique [4,5], in-depth investigations in both experimental and theoretical ways on semiconductor nanostructures lead to the possible realization of novel electronic [6,7] and photonic [8,9] devices. Quantization of energy states in low-dimensional semiconductors along diferent directions leads to the formation of quantum well, wire or dot, which are characteristically diferent from their bulk counterparts.…”

Section: Introductionmentioning

confidence: 99%

Electronic Band Structure of Quantum Cascade Laser

Deyasi¹

2017

Quantum Cascade Lasers

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Multiple quantum well structure is the subject of theoretical and experimental research over the last two decades due to the possibility of making novel electronic and optoelectronic devices. The phenomenon of resonant tunneling makes it a prime candidate for all tunneling-based quantum devices with one-dimensional coninement. THz laser design using multilayered low-dimensional semiconductor structure is one such example, where miniband formation and its energy diference with lowest quantum state play crucial factor in governing device performance. Quantum cascade laser (QCL) is one of such candidate, which speaks in favor of research using multiple-quantum-well (MQW) structure. In the proposed chapter, transmission coeicient of multiple quantum-well structure is numerically computed using propagation matrix technique, and its density of states is calculated in the presence and absence of electric ield applied along the direction of quantum coninement. Absorption coeicient is also calculated for its possible application as optical emiter/detector. Based on the electronic and photonic properties investigated, electronic band structure of the quantum cascade laser (formed using the MQW structure) is computed. Formation of miniband is tailored with variation of external bias is shown.

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Analysis of Wavefunction Distribution in Quantum Well Biased Laser Diode Using Transfer Matrix Method

Cited by 22 publications

References 22 publications

ANALYSIS OF WAVE FUNCTION, ENERGY AND TRANSMISSION COEFFICIENTS IN GaN/ALGaN SUPERLATTICE NANOSTRUCTURES

ANALYSIS OF WAVE FUNCTION, ENERGY AND TRANSMISSION COEFFICIENTS IN GaN/ALGaN SUPERLATTICE NANOSTRUCTURES

The Nonlinear Absorption of a Strong Electromagnetic Wave in Low-dimensional Systems

Electronic Band Structure of Quantum Cascade Laser

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