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Author Heer, C. V.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS ♦ ANGULAR MOMENTUM ♦ CAVITIES ♦ CORIOLIS FORCE ♦ DENSITY ♦ ELECTRODYNAMICS ♦ ELECTROMAGNETIC FIELDS ♦ ENERGY ♦ EQUATIONS ♦ FIELD THEORY ♦ FREQUENCY ♦ GRAVITATION ♦ MAXWELL EQUATIONS ♦ MINKOWSKI SPACE ♦ MOMENTUM ♦ PHOTONS ♦ REFRACTION ♦ RESONANCE ♦ ROTATION ♦ SPECTRAL SHIFT ♦ TENSORS ♦ VACUUM ♦ VECTORS ♦ VELOCITY ♦ WAVE PROPAGATION
Abstract The resonant frequencies of an electromagnetic cavity in a nonpermanent gravitational field such as that provided by rotation are considered. The constitutive equations for accelerated macroscopic matter are developed, and it is shown that the electromagnetic-field tensors are related by H/sub xt/ = K/sub e/F/sub xt/ and K/sub m/H/sup xy/ = F/sup xy/, etc. For the special case of angular rotation about the z axis, the constitutive equations are given in terms of noncovariant field vectors B, H, D, E. Maxwell's equations are solved using these constitutive equations and it is shown that the degeneracy between the axially degenerate modes, i.e., clockwise and and counter-clockwise traveling waves, is removed by the rotation. In vacuum a shift in frequency of OMEGA . J/ h or a splitting between traveling wave modes of 2 OMEGA . J/h is predicted from the simflarity between energy flux and momentum. This led to a suggestion of the Coriolis-Zeeman,, effect for photons. Using either the above development or the energy density, it is shown that the effect depends on the moment of the energy flux and is only proportional to the aagular momentum. In the geometrical- optics region an index of refraction valid for accelerated macroscopic matter is developed and is applied to the square FabryPerot cavity rate gyroscope to yield the same result as either of the above methods. An experiment to show the validity of Minkowski's decomposition of the energymomentum tensor is discussed. (auth)
ISSN 0031899X
Educational Use Research
Learning Resource Type Article
Publisher Date 1964-05-18
Publisher Department Ohio State Univ., Columbus
Journal Physical Review
Volume Number 134
Organization Ohio State Univ., Columbus


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