Specific boundary problems as an analytic investigation of signal transmissions

摘要

The specific case of the symmetrical differential Maxwell system is studied completely for an arbitrary excited isotropic homogeneous linear medium. The solvability criterion is proved in the meaning of the system equivalence to the unified scalar wave PDE. The given theorem allows formulating the relevant boundary problems for the symmetrical system in terms of the aforesaid unified wave equation. The last fact simplifies essentially the mathematical explicit investigation of signal transmissions in the above mentioned media. Some concrete boundary problems are proposed in the framework of the specific differential Maxwell system case and the criterion statement.