On the Q-BOR-FDTD method
Francisco M. Fern\'andez
TL;DR
This paper clarifies the Q-BOR-FDTD method, identifies its limitations in calculating eigenfunctions for degenerate states, and proposes an improvement to address this issue.
Contribution
The paper provides a rigorous formulation of the Q-BOR-FDTD method and introduces an enhancement to handle degenerate eigenstates.
Findings
Identified limitations of Q-BOR-FDTD for degenerate states
Developed a more rigorous mathematical formulation
Proposed an improved method to overcome eigenfunction calculation issues
Abstract
We discuss a recently proposed approach termed Q-BOR-FDTD method and develop its main equations in a clearer and more rigorous way. We show that it is unsuitable for the calculation of the eigenfunctions in the case of degenerate states and propose an improvement to overcome such limitation.
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Taxonomy
TopicsElectromagnetic Simulation and Numerical Methods · Nonlinear Waves and Solitons · Numerical methods in engineering