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Excerpt from Determination of Reflected and Transmitted Fields by Geometrical OpticsAs a matter of fact R. K. Luneberg has shown quite generally that the first terms in asymptotic expansions of the space dependence of the electric and magnetic field vectors is that given by geometrical optics.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduct...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This w...

Excerpt from Excitation and Propagation of Surface WavesRays in Space can be defined in terms of the propagation velocity by Fermat's principle or by the differential equations which follow from it. Complex rays can be defined by applying Fermat's principle to complex curves, or by considering complex solutions of the ray equations. In either case it is necessary that c(x) be defined for complex values of x which is the case if is an analytic ...

Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve ...

Excerpt from Decay Exponents and Diffraction Coefficients for Surface Waves on Surfaces of Non-Constant CurvatureWhen a wave is incident upon an opaque object large compared to the incident wavelength a shadow is formed. Some radiation penetrates into the shadow. The first quantitative analysis of this penetration effect for the case of a smooth object was that of G. N. Watson[1]. He showed that the field in the shadow of a sphere consists of ...

Excerpt from Thin Unsteady Heavy JetsTwo questions which immediately arise are: What is the relationship between the two theories? And How can the results of the hydraulic theory be improved? In this paper we answer these questions by presenting a method of solution of the hydrodynamic problem as a series in powers of the jet thickness divided by some other typical length of the jet.About the PublisherForgotten Books publishes hundreds of thou...

Excerpt from Diffraction by an Aperture IThe present treatment of diffraction of a wave by an aperture in a thin screen is based upon a new theory of wave propagation. This theory is called 'the geometrical theory of because it is an extension of geometrical optics which describes diffraction phenomena. It is like geometri cal optics inasmuch as it postulates that fields propagate along certain lines or curves called rays. However, it goes bey...

Excerpt from On Solutions of ¿u=f(u)The above results were obtained in l95h in connection with the analysis of a physical problemis]. Some of this work was not relevant to the original problem, and is given here for the first time, some results were stated and used in [5] but the proofs were omitted.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a re...

Excerpt from Back Scattering From a Finite ConeThe back scattering from a finite cone is calculated in this report by means of the geometrical theory of diffraction. Three different physical problems are considered. One is that of an acoustic wave incident upon a rigid cone. The second is that of an acoustic wave incident upon a perfectly soft (pressure-release) cone. The third, and perhaps most important, is that of an electromagnetic wave in...

Excerpt from The Sacred Heart: Anecdotes and Examples to Assist in Promoting the Devotion to the Sacred HeartLet us listen to the promises our dear Lord kindly made to the Blessed Margaret Mary, in favor of all those who practise and spread devotion to His Divine Heart.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 hist...

Excerpt from The Sacred Heart, or Incidents Showing How Those Who Honour the Sacred Heart of Jesus Are Assisted and Helped by Its Power and Love: Together With Lives of B. Margaret Mary and Ven. P. De La ColombiereYes, the worshippers of the Sacred Heart of Jesus are still pleading with Peter amidst the turbulent waters, Lord, save us, or we perish, ' and everywhere they are endeavouring by prayers and good works to develop that spirit of Fait...

Excerpt from Basic Mathematical Investigations in Electromagnetic Wave Theory: Final Report, January 1, 1964 December 31, 1968The object of the research was to extend existing knowledge of classical electromagnetic theory with emphasis on electromagnetic wave guiding radiation and communication, and diffraction problems.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks...

Excerpt from Acoustic Torques and Forces on DisksIn (1) F denotes the normal force on a disk due to an incident plane wave of (real) pressure amplitude P, a is the angle between the normal to the disk and the direction of propagation of the incident wave, 0' (a) is the scattering cross section of the disk for this direction of incidence, pc) is the density of the surrounding medium and c is the sound speed in it. Equation (1) applies to an inf...

Excerpt from Reflection of Electromagnetic WavesSe saeume that P a 2po on the geometrically illuminated port or S. P O on the remainder of 2, snag - E, a 0 on all 0 'iheee cows/fiery Values are Chosen in Y.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...

Excerpt from Saint Anthony: Ancedotes Proving the Miraculous Power of St. AnthonyAn instance of this may be given When ordered by the Holy See to preach the Lenten sermons at Rome he was perfectly understood by the immense multitude from all nations, whom the renown of his great sanctity and marvellous gifts had attracted. This same gift was of most frequent occurrence during his missionary career.About the PublisherForgotten Books publishes h...

Excerpt from Asymptotic Solution of Some Diffraction ProblemsSeveral have recently discussed a method by which the asymptotic expansion with respect to frequency may be determined for periodic solutions of electromagnetic, acoustic, and other linear wave problems. However, virtually no applications of the method have been made. In the present paper we explain the method, and apply it to construct the asymptotic solutions of a var iety of diffr...