Publisher's Synopsis
Excerpt from Scattering From a Penetrable Sphere at High Frequencies
We consider a scalar plane wave incident on a penetrable sphere in the limit of high frequencies for which the wave length of the incident wave is small compared to the radius of the Sphere. Quantum mechanically, the prob lem represents the scattering of a highly energetic particle by an attractive square well. It is also closely related to the corresponding electromagnetic problem which occurs in the scattering of light by water droplets. As such, it has engaged the attention of very many scientists whom we can not hope to enumerate here. A.more or less complete historical record of the contributors to the raindrop prdblem.may be found in van de Hulst's book [i]. The justifi cation of the present work lies in the new representation of the scattering amplitude which is particularly appropriate to the study of it in the high frequency or short wave length limit. By means of it, it is possible to dis tinguish the contributions of the geometric optics field and of the diffracted field.
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