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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 Electrohydrodynamics I: The Equilibrium of a Charged Gas in a ContainerIn this first article we determine the equilibrium of a uniformly charged gas an electron gas) within a container. This problem is some times treated in elementary physics, where it is concluded that all the charge comes to rest on the walls of the container, due to the mutual repulsion of the charges constituting the gas. This solution, however, neglects the e...

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 ...

Excerpt from Wave Propagation in Variable MediaWave propagation is one of the means by which energy travels. 'Propagation' is the process whereby the energy moves from one region of space to an adjacent region, and 'wave' is a general term for a moving spatial distribution of energy. The matter in the region of space through which the propagation occurs is called the transmission medium. A random or stochastic medium is a family of media toget...

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 ...

Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors: January, 1958In Fig. 3 this reflector is drawn, using (9) and (10) with the upper sign. Equation (1) can also be used to solve the direct problem of scattering.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. F...

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Excerpt from Decay Exponents and Diffraction Coefficients for Surface Waves on Surfaces of Non-Constant Curvature When 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[i]. He showed that the field in the shadow of a sphere consists o...

Excerpt from Excitation and Propagation of Surface Waves Which their field diminishes with distance from the surface. We shall do this by constructing a geometrical theory, analogous to geometrical optics and to the geometrical theory of diffraction [1] which will permit us to visualize the excitation process and to calculate the amplitude of the surface wave in rather. About the Publisher Forgotten Books publishes hundreds of thousands of ...

Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solut...

Excerpt from Electrohydrodynamics I: The Equilibrium of a Charged Gas in a ContainerThe constant a in (1) is the ratio of electric charge density to mass density in the fluid. It is constant because we assume that the fluid is uniformly charged. If each molecule of the fluid has mass m and charge e than a e m which is the case when the fluid is an electron gas.About the PublisherForgotten Books publishes hundreds of thousands of rare and class...

Partial differential equations play a central role in many branches of science and engineering. Therefore it is important to solve problems involving them. One aspect of solving a partial differential equation problem is to show that it is well-posed, i. e. , that it has one and only one solution, and that the solution depends continuously on the data of the problem. Another aspect is to obtain detailed quantitative information about the solut...

Excerpt from Wave Propagation in Variable Media Wave propagation is one of the means by which energy travels. 'Propagation' is the process whereby the energy moves from one region of space to an adjacent region, and 'wave' is a general term for a moving spatial distribution of energy. The matter in the region of space through which the propagation occurs is called the transmission medium. A random or stochastic medium is a family of media tog...

Excerpt from Spherical, Cylindrical and One-Dimensional Flows of Compressible Fluids Relatively few boundary value problems involving spherical or cylindrical flows of compressible fluids have been solved exactly. In order to solve more problems of this type, particularly those involving variable entropy, we have investigated the flow differential equations, at first without regard to initial or boundary conditions. In this way a class of non...

Excerpt from Thin Unsteady Heavy Jets The hydrodynamic theory of jets attempts to determine the surfaces of a jet and the detailed velocity distribution within a jet. The main difficulty stems from the nonlinear boundary conditions to be satisfied on the unknown jet surfaces. When the flow is restricted to be two-dimensional and steady, and surface tension is neglected, this difficulty can be overcome by the method of conformal mapping and th...

Excerpt from Diffraction by an Aperture I The diffraction of a wave by an aperture of any shape in a thin screen is treated by a new method. This method is called "the geometrical theory of diffraction", because it is an extension of geometrical optics which accounts for diffraction. In this method new rays - called diffracted rays - are introduced. They are produced when an incident ray hits the edge of the aperture, and they satisfy the "la...

Excerpt from Back Scattering From a Finite Cone The 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 ...

Excerpt from The Inverse Scattering Problem in Geometrical Optics and the Design of Reflectors: January, 1958 In Fig. 3 this reflector is drawn, using (9) and (10) with the upper sign. Equation (1) can also be used to solve the direct problem of scattering. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical...

Excerpt from Basic Mathematical Investigations in Electromagnetic Wave Theory: Final Report, January 1, 1964 December 31, 1968 This report is a summary of research activities pursued during the period from January 2, 1964 to January 1, 1969 by the Division of Electromagnetic Research of the Courant Institute of Mathematical Sciences at New York University, under Contract Number AF 19(628)3868 with the Air Force Cambridge Research Laboratories...

Excerpt from Derivation of the Bohr-Sommerfeld Quantum, Conditions From an Asymptotic Solution, of the Schroedinger Equation We wish to examine the asymptotic behavior of the of (1) as Planck's constant h approaches zero. To this end we assume that as h approaches zero. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an importa...