The Theories And Applications Of Electromagnetic Wave Basic Equations

The transformation from vector partial differential operator space to scalar function space, id est. Euclid space, is discussed in this thesis. And then we found the scalar quantity form non-uniform electromagnetic wave basic equations, which are applied successfully on the background of the eigenproblems of resonant cavity system.In the thesis, we develop and improve the eigen characteristic and non-uniform theory of rotational field vector, base on which, the Green's function of electromagnetic wave and the scalar form of rotational field vector in three-dimension system are discussed; the scalar formatted non-uniform electromagnetic wave basic equations are founded. The equations transform the Maxwell Equations with double rotational vector partial differential operator format into the form only with two matching scalar quantities.Base on the electromagnetic wave basic equations, analytical calculation of eigenproblems is processed on two-dimension hetoromophic resonant cavity with one matched boundary, the ridge waveguide with two matched boundaries, and three-dimension resonant cavity. This kind of eigenproblems cannot get analytical solution by classical method. But by the electromagnetic wave basic equations, we gain them. Those should show the superiority of the equations theory.The elementary discussion about the application of the basic equations in numerical method is also made in the thesis. And the eigenproblems of three-dimension hetoromophic resonant cavity system is solved; the field values are gotten. This method certainly should have a bright prospect.The solutions of several different calculations on the same or similar resonant cavity are compared in the thesis; the result is acceptable. And the comparison of eigenproblem solutions of ridge waveguide between our theory and classic theory is satisfied.