The Collected Works of James Maccullagh

Cover The Collected Works of James Maccullagh
The Collected Works of James Maccullagh
James Maccullagh
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I was struck by the strong analogy which these relations among the transversals bore to the composition of forces or of small vibrations in mechanics ; but it happened unfortunately that, in the theory of Fresnel, the vibrations of light were supposed to take place, not in the direction of the transversals, but perpendicular to them, so that there was no physical circumstance to support the analogy, there being no motion in the direction of the transversals ; while, on the other hand, no such a...nalogy existed among the vibrations themselves in the directions which Fresnel had assigned to them. It was therefore with some interest that I afterwards learned, upon the publication of the tenth volume of the Memoirs of the Institute, that M. Cauchy* had actually inferred, from mecha- nical principles, that the vibrations of polarized light are in the * Memoir es de Plmtitut, tome x. P. 304.
Reflexion and Refraction. 89 direction of the transversals ; but this inference was to be re- ceived with caution, as being contrary to the hypothesis of Fresnel ; and besides, I had in the meantime contrived a way of adapting my analogy, in some degree, to that hypothesis, by supposing areas to be compounded instead of vibrations ; so that I hesitated which of the two opinions to prefer.


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