Simulation of fiber optical measuring transducers (FOMT) in the field of multiple influence factors

Abstract

The problem of modern modelling fibre-optical measuring transducers is rather urgent. The preliminary mathematical modelling is really necessary when investigating a wide range of physical quantities. Moreover the stage of mathematical modelling is in fact essential because this stage presupposes the possibility of creating the most adequate model, keeping account of maximum numbers of influence factors. The author has formerly developed the general mathematical model, covering a wide range of the above-mentioned factors within the tensor parameters of dielectric permeability of the optical medium of the FOMT sensitive element, which is under development. The author has also worked out the formalised operational models of some basic physical influence factors (e.g. temperature, mechanical strain, deformation, etc.), defined the action of the operators in functional space and explored their properties. The report offers for discussion the problem of simultaneous effect of several above-mentioned influence factors. The author has proposed the mathematical model permitting to assess such effect in the parameters of optic medium by using the properties of operational models. The results of the investigation lead to two conclusions about the use of modelling. The first conclusion ensues from the nature of the investigation and consists in direct employment of the results of modelling the simultaneous effect of several factors in designing FOMT. The second conclusion is about the possibility of keeping account of the influence of the above-mentioned factors with known parameter.