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Elasto-optical detection of gravitational waves

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  • Astronomy
  • Law

Abstract

Elasto-optical detection of gravitational waves ANNALES DE L’I. H. P., SECTION A JEAN-Y. VINET Elasto-optical detection of gravitational waves Annales de l’I. H. P., section A, tome 30, no 3 (1979), p. 251-262. <http://www.numdam.org/item?id=AIHPA_1979__30_3_251_0> © Gauthier-Villars, 1979, tous droits réservés. L’accès aux archives de la revue « Annales de l’I. H. P., section A », implique l’accord avec les conditions générales d’utilisation (http://www. numdam.org/legal.php). Toute utilisation commerciale ou impression systé- matique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright. Article numérisé dans le cadre du programme Numérisation de documents anciens mathématiques http://www.numdam.org/ 251 Elasto-optical detection of gravitational waves Jean-Y. VINET Laboratoire de Physique Théorique, Institut Henri Poincaré 11, rue Pierre-et-Marie-Curie, 75231 Paris Cedex 05 Henri Poincaré, ’ 1979, Section A : Physique ’ théorique. ’ ABSTRACT. 2014 The use of the photoelastic effect in a transparent solid in order to detect stresses induced by a gravitational wave is proposed. A deductive way leading from a covariant theory of elasticity to equations describing the crystal response under gravitational forces is developed. The birefringence induced by the gravitational stresses is then examined, and orders of magnitude estimated. To day’s improvements in ellipsometric measures with coherent light allow detection and measure of the birefringence induced in certain transpa- rent solids by even very weak stresses. Therefore, it seems interesting to estimate the sensitivity of a gravitational antenna based on this principle. Most of working gravitational antennae are essentially constituted by large metallic solids, the vibration state of which is analyzed. In certain cases, the small displacements of the bar’s end are recorded ; in other cases the observed variable is the weak strain at

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