RADIATION AND RECEPTION PROPERTIES OF A WIDE SLOT IN A PARALLEL-PLATE TRANSMISSION LINE: I

1959 ◽  
Vol 37 (2) ◽  
pp. 144-159 ◽  
Author(s):  
R. F. Millar
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Free Space ◽  
Parallel Plate ◽  
Dominant Mode ◽  
Reciprocity Theorem ◽  
Polar Diagram ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Lorentz Reciprocity Theorem

A solution is obtained to the problem of radiation from a slot in a parallel-plate transmission line when excited by an E-polarized, dominant mode wave. Expressions are obtained for the reflection and transmission coefficients, and the polar diagram of the radiated field. Explicit calculations are performed when the width of the slot is much greater than the free-space wavelength of the incident radiation.An application of the Lorentz reciprocity theorem yields, without further analysis, the amplitude and phase of the propagated wave which is excited in the line by an incident cylindrical or plane wave.

RADIATION AND RECEPTION PROPERTIES OF A WIDE SLOT IN A PARALLEL-PLATE TRANSMISSION LINE: II

1959 ◽  
Vol 37 (2) ◽  
pp. 160-169
Author(s):  
R. F. Millar
Keyword(s):  
Plane Wave ◽  
Transmission Line ◽  
Parallel Plate ◽  
Slot Width ◽  
Reflection And Transmission Coefficients ◽  
Parallel Plates ◽  
Polar Diagram ◽  
Reflection And Transmission ◽  
Transmission Coefficients

The study initiated in Part I is continued, with consideration being given to the case in which only a TEM wave is propagated in the parallel-plate region. The reflection and transmission coefficients, and the polar diagram of the radiated field are determined.The amplitude and phase of the propagated wave excited in the line by an incident cylindrical or plane wave are determined by reciprocity arguments.Curves are presented to illustrate the dependence of the field on the slot width and the distance between the parallel plates, for the two field types considered here and in the previous paper.

Reflection and Transmission of a Plane Wave by an Array of Cavities in the Interface of Two Solids

1992 ◽  
Vol 59 (1) ◽  
pp. 102-108 ◽  
Author(s):  
Yonglin Xu
Keyword(s):  
Plane Wave ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Singular Integral Equations ◽  
Boundary Integral ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Typical Cell ◽  
Wave States ◽  
Doubly Periodic Array

The reflection and transmission of a plane wave by a distribution of cavities in the interface of two solids of different mechanical properties are investigated. For the calculation of the reflection and transmission coefficients by a distribution of cavities, six auxiliary wave states are used in conjunction with the reciprocal identity. Specific results are presented for scattering by a doubly periodic array of cavities in the interface of solids of different elastic moduli and mass densities. For a typical cell, the boundary integral equations for scattering by a cavity at the interface of two solids are derived on the basis of continuity of displacements and tractions across the interface and by taking advantage of the geometrical periodicity. Solutions to the system of singular integral equations have been obtained by the boundary element method. Numerical results are presented as functions of the frequency for two angles of incidence.

3D diffraction modeling of singly scattered acoustic wavefields based on the combination of surface integral propagators and transmission operators

Geophysics ◽  
2007 ◽  
Vol 72 (5) ◽  
pp. SM19-SM34 ◽  
Author(s):  
Milana A. Ayzenberg ◽  
Arkady M. Aizenberg ◽  
Hans B. Helle ◽  
Kamill D. Klem-Musatov ◽  
Jan Pajchel ◽  
...  
Keyword(s):  
Plane Wave ◽  
Local Approximation ◽  
Surface Integral ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Effective Coefficients ◽  
Head Waves ◽  
Seismic Frequencies ◽  
Plane Wave Approximation ◽  
Frequency Approximation

We present an improved method for modeling 3D acoustic wavefields scattered at smooth curved interfaces. The approach is based on a high-frequency approximation of surface integral propagators and a correct description of their boundary values in terms of transmission operators. The main improvement is a uniform local approximation of these operators in the form of effective reflection and transmission coefficients. We show that the effective coefficients represent a generalization of the plane-wave coefficients widely used in conventional seismic modeling, even for the case of curved reflectors, nonplanar wavefronts, and finite frequencies. The proposed method is capable of producing complex wave phenomenas, such as caustics, edge diffractions, and head waves. Seismograms modeled for even simple models reveal significant errors implicit in the plane-wave approximation. Comparison of modeling based on effective coefficients with the analytic solution reveals errors less than 4% in peak amplitude at seismic frequencies.

Plane‐wave reflection and transmission coefficients for a transversely isotropic solid

Geophysics ◽  
1992 ◽  
Vol 57 (11) ◽  
pp. 1512-1519 ◽  
Author(s):  
Mark Graebner
Keyword(s):  
Plane Wave ◽  
Wave Reflection ◽  
Transversely Isotropic ◽  
Reflection And Transmission Coefficients ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Isotropic Solid

Numerous investigators have studied the P-SV reflection and transmission coefficients of an isotropic solid (Zoeppritz, 1919; Nafe, 1957; Frasier, 1970; Young and Braile, 1976; Kind, 1976; Aki and Richards, 1980).

DIFFRACTION OF MICROWAVES BY LONG METAL CYLINDERS

1955 ◽  
Vol 33 (8) ◽  
pp. 407-419 ◽  
Author(s):  
Albert W. Adey
Keyword(s):  
Plane Wave ◽  
Electric Field ◽  
Transmission Line ◽  
Cross Section ◽  
Parallel Plate ◽  
Rectangular Cross Section ◽  
Circular Cylinders ◽  
Wave Conditions ◽  
Rectangular Cylinders ◽  
Good Agreement

A parallel-plate transmission line has been applied to the study of the amplitude and phase of the diffracted electric field near metal cylinders of circular, square, and rectangular cross-section. The transverse dimensions of the cylinders are comparable with the wavelength (3.280 cm.). A travelling dipole probe inserted in the line through a slot in one of the plates permits investigation of the field. Absorbing wedges at the boundary of the line make the plates effectively infinite in extent. Essentially plane wave conditions exist in the region utilized in the measurements. Good agreement is obtained between calculation and experiment for circular cylinders. Measured results are given for square and rectangular cylinders. For one orientation of the rectangles the measured results are compared with approximate calculations.

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