A General Reciprocity Theorem

Inter-Reciprocity Principles for Linear Network- Waveguides Systems Based on Generalized Scattering, Admittance and Impedance Matrices

“…5] and [14, sec. I-4] describe the benefits of various normalization options), the following rather general transformation on the basis of the matrices and is applied here: (18) in terms of the respective port state vectors…”

“…Applying (48) to an infinitesimal piece of the waveguide and its adjoint, and taking into account that the surface integral in (48) vanishes on the inner surface of the shielding, a reciprocity principle for waveguide modes is obtained. Exciting the original waveguide by the branch of mode , , and the adjoint waveguide by the branch of the mode , , yields [7], [18] (52) and can take the values and , where is regarded as tantamount to the superscript , respectively.…”

“…In many circumstances and is chosen for two reasons: First, it facilitates further applications, for instance the treatment of reciprocity relations. Second, this choice is natural, since for waveguides with reflection symmetry it implies canonical relations between the two waves and propagating in opposite directions: and , which generally require [18]. In the sequel no assumptions on are made, instead, the consequences of special choices are considered where appropriate.…”

Analysis of Directive Radiation From a Line Source in a Metamaterial Slab With Low Permittivity

“…1(a) is not homogeneous, reciprocity still applies since the slab medium consists of only perfectly conducting cylinders above a ground plane, and perfect conductors are reciprocal objects. (As a side remark, it is interesting to note that reciprocity places restrictions on the spatially dispersive behavior of the metamaterial slab permittivity, as discussed in [48]. )…”

An analysis of an abrupt transition from a uniform empty waveguide to a periodically loaded waveguide

“…This quasi-Green's function has been employed with some success in a variational analysis of a. slot radiator in a rectangular fin-loaded waveguide (Sangster and Hawkins 1973). However, in recent years, using increasingly more elaborate approximate methods of analysis a more complete picture of the modal and space harmonic characteristics of such structures has evolved (Goldstein 1944, Walkinshaw 1948, Elliot 1954, Hurd 1954, Saxon et al 1963, Davies and Goldsmith 1968, Bryant 1969, Clarricoats and Sobhy 1968, Dragone 1977, Hahn 1978, Al-Hakkak 1978, Pozzolo and Zich 1967, Sangster and' Dewey 1972, Cooper 1971, Taylor and Clarricoats 1967, McIsaac 1979. This work has.…”