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2010•IEEE Antennas and Wireless Propagation LettersRequires access

A Hybrid Approach for Solving Coupled Maxwell and Schrödinger Equations Arising in the Simulation of Nano-Devices

Iftikhar Ahmed, Eng Huat Khoo, Er‐Ping Li, R. Mittra

Open publisher page 42 citations

Abstract

A hybrid numerical technique for solving coupled Schrödinger and Maxwell's equations for the simulation of nano-devices is presented. The finite-difference time-domain (FDTD) method is applied to Schrödinger's equation, while the locally one-dimensional finite-difference time-domain (LOD-FDTD) method is applied to Maxwell's equations for efficient simulation of the coupled equations. Results of the proposed approach are compared to those obtained via the conventional FDTD method.

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What this paper is about

A hybrid numerical technique for solving coupled Schrödinger and Maxwell's equations for the simulation of nano-devices is presented. The finite-difference time-domain (FDTD) method is applied to Schrödinger's equation, while the locally one-dimensional finite-difference time-domain (LOD-FDTD) method is applied to Maxwell's equations for efficient simulation of the coupled equations. Results of the proposed approach are compared to those obtained via the conventional FDTD method.

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OpenAlex reports 42 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A hybrid numerical technique for solving coupled Schrödinger and Maxwell's equations for the simulation of nano-devices is presented. The finite-difference time-domain (FDTD) method is applied to Schrödinger's equation, while the locally one-dimensional finite-difference time-domain (LOD-FDTD) method is applied to Maxwell's equations for efficient simulation of the coupled equations. Results of the proposed approach are compared to those obtained via the conventional FDTD method.

Key concepts: Finite-difference time-domain method, Maxwell's equations, Scattering-matrix method, Finite difference method, Electromagnetic field solver, Schrödinger equation, Physics, Time domain

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