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arXiv · 1603.06213

Note on the numerical solution of the scalar Helmholtz equation in a nanotorus with uniform Dirichlet boundary conditions

N. D. Nguyen·R. Evrard·Michael A. Stroscio
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Abstract

This note describes the solution of the Helmholtz equation inside a nanotorus with uniform Dirichlet boundary conditions. The eigenfunction symmetry is discussed and the lower-order eigenvalues and eigenfunctions are shown. The similarity with the case of a long cylinder and with that of the vibrations of a circular elastic membrane is discussed. This similarity is used to propose a classification scheme of the eigenfunctions based on three indices.

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N. D. Nguyen, R. Evrard, Michael A. Stroscio. 2016-03-20. Note on the numerical solution of the scalar Helmholtz equation in a nanotorus with uniform Dirichlet boundary conditions. https://arxiv.org/abs/1603.06213

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