Vol. 8, No. 1, 2020
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On the generalization of the Brewster Law

Fabrizio Davì

Vol. 8 (2020), No. 1, 29–46
DOI: 10.2140/memocs.2020.8.29
Abstract

In classical photoelasticity of transparent isotropic materials, the Brewster law states that the difference in principal refraction index (birefringence) is proportional to the difference in principal stress. Here we show that such a relation can be generalized to anisotropic crystals only for the high-symmetry classes of the cubic group and for a specific plane stress, also for the high-symmetry classes of the trigonal, tetragonal, and hexagonal groups. No further generalizations are possible.

Keywords
photoelasticity, photoelastic constant, anisotropic crystals, Brewster law, scintillating crystals
Mathematical Subject Classification 2010
Primary: 78A10, 74F15, 74E10
Milestones
Received: 30 July 2019
Revised: 4 August 2019
Accepted: 18 January 2020
Published: 11 May 2020

Communicated by Francesco dell'Isola
Authors
Fabrizio Davì
Dipartimento di Ingegneria Civile, Edile e Architettura
Centro Interdipartimentale di Analisi Globale dei Cristalli
Università Politecnica delle Marche
Ancona
Italy