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Resonant Cavity Second Order Perturbation by Moving Medium with Stationary Domain

In this work, we carry out a theoretical study and formulate a novel specific problem within the boundaries of the resonant cavity perturbation theory at the microwave. In the present case, we consider the possibility of taking into account the second-order perturbation, which is caused by the characteristic motion of the object in the resonant cavity while keeping the set of coordinates occupied by it unchanged (as it called, stationary domain). In our formulation, the stationary object is the first order of perturbation, and the perturbation caused by the movement of the object is the first order of the object's perturbation, but the second-order of the cavity perturbation, in its turn. We consider two types of motion that satisfy the stationary domain requirement: axial motion of a continuous medium along with the circular cylinder and the rotation of a circular cylinder. In both cases, the second-order perturbation is described through the appearance of weakly bianisotropic properties of the object's medium. The detection of these effects (which have a low magnitude) turns out to be very useful in conducting non-contact diagnostics of the state of the object. In this article, we are describing a separate study on the possibility of using the main provisions to create novel types of electromagnetic flow meters for liquids and gases.