AbstractsIn the previous paper, a global tensor invariant under origin changes was introduced for all optical phenomena. By applying the results obtained, we determine invariant partial tensors which characterize refraction and the Faraday effect.Dans I'article pricedent un tenseur global, invariant par rapport a un changement d'origine, a ttC introduit pour tous les phenomenes optiques. Utilisant ces resultats nous dtterminons les tenseurs invariants partiels, qui caracttrisent la refraction et l'effet de Faraday.Im vorigen Artikel wurde ein globaler Tensor fur alle optische Phanomene eingefuhrt, der unter Transformationen des Koordinatenursprungs invariant ist. Durch Anwendung dieser Ergebnisse bestimmen wir den invarianten Partialtensor, der die Refraktion und den Faradayeffekt charakterisiert.
AbstractsIn a previous paper, denoted I [C. Duprez and J. Tillieu, Int. J. Quantum Chem. 17,155 (1980)], a global tensor, invariant in an origin change, has been introduced for all optical phenomena. The results obtained have been applied to two particular cases: refraction and the Faraday effect, in Paper I1 [C. Duprez, Int. J. Quantum Chem. 17,169 (1980)l. In this paper, we study the various methods suitable for the calculation of these tensors. Then, we compare the results obtained in I1 with those previously obtained by other authors who, when studying the two particular cases mentioned above, omitted some terms necessary to obtain the invariance.
AbstractsAmong the tensors used in the published literature to characterize a phenomenon of nonlinear optics, some are not invariant under a change of origin. In this paper, we show that this invariance can be obtained in a general manner, if the densities of electric and magnetic polarization are not separated but replaced by a density of magnetoelectric polarization whose quantum calculation is performed for a molecular crystal.Parmi les tenseurs utilisis dans la litterature pour caracteriser un phenomene de I'optique non-lineaire, certains-uns ne sont pas invariants par rapport a un changement d'origine. Dans le prCsent article nous montrons que cette invariance peut &[re obtenue de fason generale, si les densites de polarisat ion tlectrique et magnktique ne sont pas separees mais remplacees par une densite de polarisation magneto-electrique, dont le calcul quantique est effectue pour un cristal moleculaire.Unter den in der Litteratur vorkommenden Tensoren fur die Charakterisierung eines Phanomens der nichtlinearen Optik, sind einige unter Transformationen des Koordinatenursprungs nicht invariant. In diesem Artikel zeigen wir, dass diese Invarianz in einer allgemeinen Weise erhalten werden kann, wenn die elektrische und magnetische Polarisierungsdichten nicht separiert werden, aber von einer magneto-electrischen Polarisierungsdichte ersetzt wird, die fur einen Molekulkristall berechnet wird.
AbstractsA quantum calculation of the optical activity and gyrotropic birefringence is used in a molecular crystal to deduce symmetry properties. A study of the variation of the components of these tensors, when a change of origin occurs, is used to account for the formula for the electric excitation proposed
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