Remarks on effective curvature
type: Item
instance of: scholarly article
title: Remarks on effective curvature
zbMATH Open document ID: 0734.53015
author: Kazumi Tanuma
published in: Kodai Mathematical Journal
publication date: 1990-01-01T00:00:00Z
review text: This is a theme from the geometric theory of diffraction. Wave propagation near the reflecting smooth boundary \(\Gamma\) of a two- dimensional domain depends on the so-called effective curvature. If all rays are tangent to \(\Gamma\), the effective curvature is shown to be given by the ordinary curvature of \(\Gamma\) minus the ray curvature at the point of tangency. The author further proves the coordinate invariance of the ray curvature in the case of a two-dimensional Riemannian space.
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 78A05
Mathematics Subject Classification ID: 78A45
zbMATH DE Number: 4214849
zbMATH Keywords: geometric theory of diffraction
zbMATH Keywords: Wave propagation
zbMATH Keywords: effective curvature
zbMATH Keywords: ray curvature
reviewed by: Klaus Horneffer
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138039215
OpenAlex ID: W2048871530
cites work: Q4199139
cites work: Uniform asymptotic theory of creeping waves
DOI: 10.2996/KMJ/1138039215
description: scientific article; zbMATH DE number 4214849