We investigate the analogy between electromagnetic and acoustic waves from the kinematics and the energy of wave propagation. It is shown that the propagation of the TEM mode (transverse electric and magnetic) is completely analogous, from the mathematical point of view, to the propagation of SH waves in the plane of symmetry of a monoclinic medium. The viscoelastic model corresponding to the electromagnetic equations is the 3-D Maxwell constitutive rheology. The analogy identifies particle velocity with magnetic field, stresses with electric field, compliance with permittivity, inverse of the viscosity with conductivity and density with permeability. Therefore, it is possible to perform, with the same software, the calculation of the phase velocity, slowness and attenuation of both wave phenomena. The dissipation effects due to anisotropic viscosity and conductivity are verified by numerical experiments. An analytical solution is found for elastic anisotropic media and extended to the viscoelastic and electromagnetic cases by using the correspondence principle. Finally, two corresponding examples are worked out numerically, and an electromagnetic problem is solved with a computer code originally designed for solving viscoelastic propagation.acoustical-waves.

Orthogonalized noise subtraction

Craglietto A
1991

Abstract

We investigate the analogy between electromagnetic and acoustic waves from the kinematics and the energy of wave propagation. It is shown that the propagation of the TEM mode (transverse electric and magnetic) is completely analogous, from the mathematical point of view, to the propagation of SH waves in the plane of symmetry of a monoclinic medium. The viscoelastic model corresponding to the electromagnetic equations is the 3-D Maxwell constitutive rheology. The analogy identifies particle velocity with magnetic field, stresses with electric field, compliance with permittivity, inverse of the viscosity with conductivity and density with permeability. Therefore, it is possible to perform, with the same software, the calculation of the phase velocity, slowness and attenuation of both wave phenomena. The dissipation effects due to anisotropic viscosity and conductivity are verified by numerical experiments. An analytical solution is found for elastic anisotropic media and extended to the viscoelastic and electromagnetic cases by using the correspondence principle. Finally, two corresponding examples are worked out numerically, and an electromagnetic problem is solved with a computer code originally designed for solving viscoelastic propagation.acoustical-waves.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.14083/5746
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