Inhomogeneous plane waves
type: Item
instance of: scholarly article
title: Inhomogeneous plane waves
zbMATH Open document ID: 0537.73015
DOI: 10.1007/BF00250866
author: N. E. Zubov
published in: Archive for Rational Mechanics and Analysis
publication date: 1984-01-01T00:00:00Z
review text: After an extended survey of the Gibbs-Synge theory of bivectors (complex vectors) the paper uses that theory to find results on the polarization of inhomogeneous plane waves. The link between bivectors and plane waves is that the field (e.g. displacement u or electric field E) corresponding to a train of such waves is described in terms of two bivectors \((\bar u=\bar A \exp(iw(\bar S\cdot(\bar x-t)))).\) Wave propagation in homogeneous isotropic viscoelastic bodies and in homogeneous anisotropic elastic bodies is studied. Some universal relations are obtained connecting the acoustical tensors for inhomogeneous waves with those for homogeneous waves. The special case of an elastic cubic crystal is examined. Circularly polarized inhomogeneous plane waves may propagate for certain slowness \(\bar S\).
Mathematics Subject Classification ID: 74J10
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3854522
zbMATH Keywords: survey of the Gibbs-Synge theory of bivectors
zbMATH Keywords: polarization of inhomogeneous plane waves
zbMATH Keywords: homogeneous isotropic viscoelastic bodies
zbMATH Keywords: homogeneous anisotropic elastic bodies
zbMATH Keywords: universal relations
zbMATH Keywords: elastic cubic crystal
MaRDI profile type: Publication
cites work: Q5544224
cites work: Q5844433
cites work: Electro-magneto-optical effects
cites work: Q3238998
cites work: Energy flux for trains of inhomogeneous plane waves
full work available at URL: https://doi.org/10.1007/bf00250866
OpenAlex ID: W2079527166
description: scientific article; zbMATH DE number 3854522