scholarly journals Is a Propagating Infinite Plane Wave a "Radiation Field?"

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Snider W Clint ◽  
Uman Martin A ◽  
Moore Robert C
Keyword(s):  
Plane Wave ◽  
Radiation Field ◽  
Infinite Plane

REPLY BY D. RANKIN TO THE DISCUSSION BY J. T. WEAVER

Geophysics ◽  
1963 ◽  
Vol 28 (3) ◽  
pp. 490-490
Author(s):  
D. Rankin
Keyword(s):  
Electromagnetic Field ◽  
Plane Wave ◽  
Radiation Field ◽  
Free Space ◽  
Wave Incident ◽  
Induction Field ◽  
The Earth ◽  
Plane Wave Incident

I am indebted to Weaver if he has indeed clarified certain points which I had previously considered to be obvious. Cagniard (1953) states explicitly the magnitude of the wavelengths in free space and it is further implicit in the work of Rankin (1962) that it is indeed this same electromagnetic field which is being considered. The plane wave aspect of the problem arises from the extent of and not the distance from the source so that truly it is the induction field and not the radiation field that is under discussion. I had believed, until this note by Weaver, that d’Erceville and Kunetz (1962) also considered a plane wave incident on the earth and in fact that I was merely following both Cagniard and d’Erceville and Kunetz in this matter. The consistency of the results would tend to confirm this belief.

Admittance of an annular slot in a magnetoplasma

1968 ◽  
Vol 46 (12) ◽  
pp. 1473-1489 ◽  
Author(s):  
S. R. Seshadri
Keyword(s):  
Magnetic Field ◽  
Plane Wave ◽  
Static Magnetic Field ◽  
Coaxial Line ◽  
Numerical Results ◽  
Infinite Plane ◽  
Annular Slot ◽  
External Static Magnetic Field ◽  
Tem Mode ◽  
Bessel Transforms

The admittance of an annular slot situated on a perfectly conducting, infinite plane screen covered with an unbounded, uniform magnetoplasma is investigated for the case when an external static magnetic field is perpendicular to the plane of the screen. The slot is assumed to be driven by a coaxial line which in turn is excited in its dominant TEM mode, and the field in the slot is approximated by that incident on it. A generalized plane wave representation for the fields is developed using Bessel transforms, and integral expressions are derived for the admittance of the slot. Extensive numerical results and a detailed discussion of the dependence of the admittance on the strength of the static magnetic field, the complete range of operating frequencies, and the radius and the width of the slot are also included.

scholarly journals On the diffraction of a plane wave by an infinite plane grating

1954 ◽  
Vol 2 ◽  
pp. 103 ◽  
Author(s):  
Albert E. Heins ◽  
George L. Baldwin
Keyword(s):  
Plane Wave ◽  
Infinite Plane

Excitation of multimode surface waves

1967 ◽  
Vol 63 (4) ◽  
pp. 1281-1283
Author(s):  
W. E. Williams
Keyword(s):  
Surface Waves ◽  
Radiation Field ◽  
Present Note ◽  
Incident Field ◽  
Point Of View ◽  
Impedance Boundary Condition ◽  
Infinite Plane ◽  
Total Field ◽  
Impedance Boundary ◽  
Impedance Condition

1. In a recent paper Karp and Karal(1) have suggested a generalization of the normal impedance boundary condition which might be applicable to surfaces which can support more than one surface wave and have determined the total field produced by a magnetic line dipole placed above an infinite plane characterized by such a condition. The theory is at this stage purely tentative and arguments concerning its plausibility are given in (1). The validity of the generalized impedance condition has also not yet been experimentally verified. From the point of view of experimental verification it would seem useful to have available a theoretical solution valid for an arbitrary electromagnetic field incident on a plane characterized by a generalized impedance condition and such a solution is given in the present note. By means of a technique used by the author in related problems (2,3) an explicit solution is given for an arbitrary incident field and it is shown that the radiation field and the amplitudes of the surface waves may be expressed in terms of the radiation field of the incident wave.

Scattering of a plane wave by a hemispheroidal boss on an infinite plane

1992 ◽  
Vol 70 (8) ◽  
pp. 615-622 ◽  
Author(s):  
I. R. Ciric ◽  
M. F. R. Cooray
Keyword(s):  
Plane Wave ◽  
Original Problem ◽  
Ground Plane ◽  
Plane Waves ◽  
Point Of View ◽  
Infinite Plane ◽  
Metallic Surfaces ◽  
Conducting Plane ◽  
Incident Plane ◽  
Image Technique

An analytic solution is presented for the problem of scattering of a plane wave by a hemispheroidal boss on a perfectly conducting plane. The solution is based on an image technique, by which the original problem is reduced to that of the scattering of two plane waves by a full spheroid, in the absence of the infinite plane. One of these waves is just the given incident plane wave and the other one is chosen such that the boundary conditions in the original problem are satisfied. The field scattered by the hemispheroidal boss on the infinite plane is obtained by the superposition of the fields scattered by the full spheroid in an unbounded space, due to each of the two plane waves. The theory is given for the scattering of both scalar and vector waves. Numerical results are presented for the normalized-scattering cross section in the electromagnetic case for various conducting and dielectric hemispheroidal bosses, of different sizes and axial ratios. From a practical point of view, the solution is significant for the wave scattering by metallic surfaces with various protuberances and by a variety of structures, towers, antennas, and artificial and natural formations on the ground plane.

?-Radiation field over an infinite plane source separated by an inactive strip

1973 ◽  
Vol 34 (1) ◽  
pp. 42-43
Author(s):  
D. P. Osanov ◽  
M. Yu. Tissen ◽  
V. G. Ryadov
Keyword(s):  
Radiation Field ◽  
Infinite Plane ◽  
Plane Source

scholarly journals The scattering power of a bare nucleus according to wave mechanics

1928 ◽  
Vol 121 (788) ◽  
pp. 673-675 ◽  
Keyword(s):  
Power Series ◽  
Plane Wave ◽  
Incident Wave ◽  
Scattered Wave ◽  
Volume Density ◽  
Infinite Plane ◽  
Wave Mechanics ◽  
Simple Method ◽  
Bare Nucleus

Mott’s investigation of the scattering of an infinite plane wave by a bare nucleus involves rather delicate considerations of the behaviour of a power series near its circle of convergence, and it therefore appears desirable to obtain his result by a more direct and simple method. Such a method is given in this paper. The scattering power of a nucleus may be defined as the volume density of electricity in the scattered wave when the volume density of the incident wave is unity around the nucleus.

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