Gravitational Radiation in the Limit of High Frequency. I. The Linear Approximation and Geometrical Optics

1968 ◽  
Vol 166 (5) ◽  
pp. 1263-1271 ◽  
Author(s):  
Richard A. Isaacson
Keyword(s):  
Linear Approximation ◽  
Gravitational Radiation ◽  
High Frequency ◽  
Geometrical Optics

Spherical gravitational waves

1959 ◽  
Vol 251 (994) ◽  
pp. 233-271 ◽  
Keyword(s):  
General Relativity ◽  
Gravitational Waves ◽  
Large Class ◽  
Linear Approximation ◽  
Gravitational Radiation ◽  
Gravitational Mass ◽  
Field Equations ◽  
Spherical Waves ◽  
Non Linear ◽  
External Forces

The field of gravitational radiation emitted from two moving particles is investigated by means of general relativity. A method of approximation is used, and in the linear approximation retarded potentials corresponding to spherical gravitational waves are introduced. As is already known, the theory in this approximation predicts that energy is lost by the system. The field equations in the second, non-linear, approximation are then considered, and it is shown that the system loses an amount of gravitational mass precisely equal to the energy carried away by the spherical waves of the linear approximation. The result is established for a large class of particle motions, but it has not been possible to determine whether energy is lost in free gravitational motion under no external forces. The main conclusion of this work is that, contrary to opinions frequently expressed, gravitational radiation has a real physical existence, and in particular, carries energy away from the sources.

Gravitational radiation field of an isolated system at null infinity

1990 ◽  
Vol 431 (1882) ◽  
pp. 337-344 ◽  
Keyword(s):  
Radiation Field ◽  
Gravitational Radiation ◽  
High Frequency ◽  
Radiation Flux ◽  
Flat Space ◽  
Background Field ◽  
Null Infinity ◽  
Present Treatment ◽  
New Formula ◽  
Space Result

The quadrupole and octupole contributions to the gravitational radiation flux at null infinity from an initially stationary isolated system are computed in terms of the asymptotic moments defined there. The present treatment incorporates the influence of the background field of the source while still neglecting the nonlinear self-interaction of the radiation. Compared with the flat space result, the new formula predicts a suppression of the contribution from the high-frequency modes for which the frequency ω satisfies GM 0 ω / c 3 ≫ 1, M 0 being the initial mass of the system.

scholarly journals The wave energy flux of high frequency diffracting beams in complex geometrical optics

2013 ◽  
Vol 20 (4) ◽  
pp. 042122 ◽  
Author(s):  
Omar Maj ◽  
Alberto Mariani ◽  
Emanuele Poli ◽  
Daniela Farina
Keyword(s):  
Energy Flux ◽  
Wave Energy ◽  
High Frequency ◽  
Geometrical Optics ◽  
Wave Energy Flux

Diffraction of Cylindrical Waves by a Transmissive Half-Plane

2017 ◽  
Vol 139 (5) ◽  
Author(s):  
Yusuf Ziya Umul
Keyword(s):  
Half Plane ◽  
Acoustic Waves ◽  
High Frequency ◽  
Line Source ◽  
Geometrical Optics ◽  
Cylindrical Waves ◽  
Uniform Theory Of Diffraction ◽  
The Waves

The scattered acoustic waves by a transmissive half-plane, which is illuminated by a line source, are investigated. The high-frequency diffracted wave expressions are obtained by taking into account a resistive half-screen that is defined in electromagnetics. The uniform diffracted fields are expressed in terms of the Fresnel cylinder functions. The behavior of the waves is compared with the case when the uniform theory of diffraction is considered. The geometrical optics and diffracted fields are examined numerically.

Pure gravitational radiation with twisting rays in the linear approximation

2005 ◽  
Vol 46 (11) ◽  
pp. 112501
Author(s):  
Bogdan G. Nita ◽  
Paul MacAlevey ◽  
Phillip T. Downes
Keyword(s):  
Linear Approximation ◽  
Gravitational Radiation
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