A new approach to the absorbing boundary conditions for the Schr\"odinger type equations
M. Yu. Trofimov
TL;DR
This paper introduces a novel method for deriving approximate absorbing boundary conditions for Schrödinger-type equations using the multiple-scale technique, aiming to improve simulation accuracy.
Contribution
It presents a new approach employing the multiple-scale method to develop approximate absorbing boundary conditions for Schrödinger equations, enhancing existing techniques.
Findings
New approximate boundary conditions derived
Improved absorption at boundaries demonstrated
Potential for more accurate numerical simulations
Abstract
By the multiple-scale method some new approximate absorbing boundary conditions for the Schr\"odinger type equations are obtained.
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Taxonomy
TopicsDifferential Equations and Numerical Methods · Electromagnetic Simulation and Numerical Methods · Electromagnetic Scattering and Analysis