Electromagnetic Transmission through a Filled Slit in a Conducting Plane of Finite Thickness, TE Case

Electromagnetic Transmission through a Filled Slit of Arbitrary Cross Section in a Conducting Plane of Finite Thickness.

“…(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16) and (2-1 7). Explicit formulas will be derived here for these symmetric products using the definit ions of the operators given by Eqs.…”

“…This integral is broken up into four parts and after similar transformations as used in (3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19), one obtains…”

“…10. The equivalence principle is applied as in [16], so that each aperture face F q~ for q = 1,2,..., Q ÷ 1, is replaced by a perfect electric conductor with a magnetic current sheet residing on each side. These magnetic current sheets are chosen to assure continuity of the tangential component of electric field at each F~ in the original -problem.…”

“…The fields in the slit reg ion are usually expanded . Green 's function methods [ 14 ,15 ] , and the equivalence principle and moment methods [16]. Another procedure is to expand the fields in the half space regions in terms of the characteristic functions of the Helmholtz equation in elliptic cylinder coordinates [17 ,18].…”

“…The method is an extension to that presented in [16], and is referred to here as a modal solution. It has the advantage that each rectangular region may be filled with different material .…”