As general simulation software for 3-dimensional electromagnetic fields, HFSS is based on the following

field equation derived from Maxwell's Equations:

We critically examine here the basic properties of theory of gravitation and role of parallel tensors in obtaining exact solution of Einstein

field equation. The study of the parallel tensors (Gerretsen 1962) has wide applications in solving the

field equations in general relativity which co-exist for both gravitational and electromagnetic waves.

Multiplying of Eq 10 with [Theta] and integrating for [Theta] yields a

field equation for mean striation thickness [Mathematical Expression Omitted]:

However, these models remain widely studied for their pedagogical value, mainly making them exact tractable solutions of Einstein's

field equation.

which is of the form of the Yang-Mills vacuum

field equation.

Rearranging the terms, we can put the

field equation (11) in the following form [2,3]:

In this paper, we will focus on a coupled Higgs

field equation with important physical interests [19],

Previously, on this surface, diffracted fields have been obtained as a nonuniform solution where the

field equation diverges to infinity and which lead to discontinuity in the analysis [10].

To achieve this goal, the strategy we adopt is to modify both sides of the

field equation, in order to have the fine structures which are compatible with the fluctuations.

To compute the relative entropy, we also use B as a test function to the magnetic

field equation (3) and insert (9), which yields

For region I, the magnetic

field equation is governed by the Poisson's equation.

In the complex-quaternion space [H.sub.g], the

field equation, [mathematical expression not reproducible], is capable of determining the "charge" (or mass, [m.sup.g.sub.g]) of the gravitational fields.