UDC 53.043
The complete form of the propagation constant in a
noninertial reference frame for numerical analysis
K.
M. Zeyde
Ural Federal University, Institute of radio electronics and
information technologies, Mira 19, Ekaterinburg 620002, Russia
The paper is received on March 25, 2019
Abstract. In
this paper we present a derivation of the strict form of the propagation
constant for a rotating disk, taking into account the inertial forces of the
reference system. This work is a generalization of known facts in a complete methodology. We use formulations
related to the use of deflection angle transition of the ray from a
straight-line trajectory under the action of inertia forces. This study allows
conducting high-precision computer simulations of electromagnetic effects
arising in non-inertial frames of reference. Strict conclusions are achieved by
the exception of rest frame theory. Two-dimensional electromagnetic propagation problem is
solved in a non-inertial frame of reference. A rotating frame of reference is a
good example of any noninertial frame of reference, therefore, this particular
model was chosen to be considered. We use the classical approach for describing
the conditions for the propagation of electromagnetic waves in noninertial reference
frames: the refined refractive index of the medium. The possibility of modeling using the
obtained formulations is demonstrated on a rotating circular infinite cylinder.
Verification of the results was carried out. Distributions of the propagation
constant in a rotating medium are presented. The results are obtained using CAD
of electromagnetic modeling. The comparison was made for data from open sources.
Validation of the method proved its effectiveness.
Key words: propagation constant, noninertial
reference frame, electromagnetic scattering, relativity.
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