Excerpt from Determination of Reflected and Transmitted Fields by Geometrical Optics IIWe apply the above procedure to the problem of determining the field due to an incident field having an arbitrary wawe front which impinges on an interface separating two homogeneous, isotropic media. It then becomes necessary to calculate the ratio of the infinitesimal areas at the two ends of a tube of rays where the rays of the tube are reflected from or transmitted by the interface. This area ratio is precisely the Jacobian of the mapping of one area onto the other.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully, any imperfections that remain are intentionally left to preserve the state of such historical works.