Efficient and accurate modelling of quantum nanostructures

An efficient sensitivity analysis approach for quantum nanostructures is proposed. The imaginary time propagation method (ITP) is utilized to solve the Time Dependent Schrödinger’s Equation (TDSE). Using this method, an extraction of all the modes and their sensitivity with respect to all the design parameters have been performed with minimal computational effort. The sensitivity analysis is performed using the Adjoint Variable Method (AVM) and results are comparable to those obtained using Central Finite Difference Method (CFD) applied directly on the response level.

[1]  Ramy H. Gohary,et al.  Efficient Approach for Sensitivity Analysis of Lossy and Leaky Structures Using FDTD , 2009 .

[2]  Xun Li,et al.  Efficient Adjoint Sensitivity Analysis Exploiting the FD-BPM , 2007, Journal of Lightwave Technology.

[3]  J. Toivanen,et al.  Solution of time-independent Schrödinger equation by the imaginary time propagation method , 2007, J. Comput. Phys..

[4]  Mohamed A. Swillam,et al.  Efficient sensitivity analysis approach based on finite element solutions of photonic structures , 2014 .

[5]  An energy-harvesting scheme utilizing Ga-rich CuIn(1−x)GaxSe2 quantum dots for dye-sensitized solar cells , 2012 .

[6]  Mattias Beck,et al.  Quantum-cascade-laser structures as photodetectors , 2002 .

[7]  Mohamed A. Swillam,et al.  Efficient 3D sensitivity analysis of surface plasmon waveguide structures. , 2008 .

[8]  Mohamed A. Swillam,et al.  Full Wave Sensitivity Analysis of Guided Wave Structures Using FDTD , 2008 .

[9]  C. Cao,et al.  Multi-spectral lasing characteristics of InAs/GaAs quantum dot laser , 2013 .

[10]  Mohamed A. Swillam,et al.  Modelling of quantum confinement in optical nanostructures , 2015 .

[11]  Navleen Kaur,et al.  Enhancement of Network Security Techniques using Quantum Cryptography , 2011 .

[12]  Mohamed A. Swillam,et al.  Adjoint Sensitivity Analysis of Dielectric Discontinuities Using FDTD , 2007 .

[13]  Mohamed A Swillam,et al.  Accurate sensitivity analysis of photonic devices exploiting the finite-difference time-domain cavity adjoint variable method. , 2007, Applied optics.

[14]  M. Bakr,et al.  Full Vectorial 3-D Sensitivity Analysis and Design Optimization Using BPM , 2008, Journal of Lightwave Technology.

[15]  M. Deen,et al.  Efficient sensitivity analysis of the time independent Schrödinger equation with application to quantum lasers , 2008 .