Mathematical Papers of the Late George Green, Fellow of Gonville and Caius College, Cambridge e-bog

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility. On the Reflexion and Refraction of Light at the common surface of two non-crystallized media. These two papers should be studied together. The question discussed in the first is, in fact, that of the propagation of normal vibrations through a fluid. Particular attention should be paid to the mode in which, from the differential equations of motion, is deduced an explanation of a phenomenon analogous to that known in Optics as Total internal reflection when the angle of incidence exceeds the critical angle. By supposing that there are pro pagated, in the second medium, vibrations which rapidly dimi nish in intensity, and become evanescent at sensible distances, the change of phase which accompanies this phenomenon is clearly brought into view.