Geometrical Optics in a Rotating Dielectric

Autor: N. D. Milovskii, A. O. Klimin
Rok vydání: 2020
Předmět:
Zdroj: Optics and Spectroscopy. 128:2069-2080
ISSN: 1562-6911
0030-400X
Popis: A rotating solid homogeneous isotropic dispersion-free dielectric in an accompanying frame of reference turns out to be an inhomogeneous anisotropic medium due to the action of two competitive physical mechanisms: inhomogeneity of the free space caused by rotation and light dragging by the moving medium. In the rotating dielectric, the eikonal equation and a system of ordinary differential equations corresponding to it in the characteristic form are obtained in the geometrical optics approximation. Solutions of the equations at calculated parameters determined using first integrals of the system are pairs of counterpropagating R-trajectories of rays and f-trajectories of phase fronts. A formula for the intensity of a light pulse propagating along an arbitrary R-trajectory is obtained. Counterpropagating trajectories of both types have no common points and are shifted to the opposite sides from the straight line between the end points. Their structural parameters (the minimum distance to the axis of rotation, arc length, domain with respect to the azimuthal coordinate, optical length, etc.) vary under the action of both physical mechanisms depending on the rotation velocity. Closed optical paths in the rotating reference frame (RRF) for a retransmitting network and for a two-mirror Fabry–Perot resonator in an operating laser can be created using two types of mirrors adapted to the rotation frequency; the normals to the reflecting surfaces of the mirrors must have definite different angles with unit vectors of rays and wavefronts of the radiation arriving at the reflector. The Sagnac effect is a consequence of inhomogeneity (deformation) of the free space with respect to the azimuthal coordinate and its magnitude is the result of the competitive action of both physical mechanisms.
Databáze: OpenAIRE
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