TY - JOUR
T1 - Generalized network formulation
T2 - Application to flange - Mounted radiating waveguides
AU - Mongiardo, Mauro
AU - Tomassoni, Cristiano
AU - Russer, Peter
PY - 2007/6
Y1 - 2007/6
N2 - Electromagnetic linear field problems can be rigorously and systematically formulated in terms of linear networks. Use of the equivalence theorem permits the decomposition of the computational domain into sub-domains with common interfaces. In each sub-domain the basic building blocks for a linear network representation are provided by Tellegen's theorem and by the two alternative representations of the Green's function. Tellegen's theorem provides the basis for expressing field at interfaces in a consistent way. The eigenfunction expansion of the Green's function provides a resonant-type equivalent circuit useful for expressing the field inside a sub-domain; while the Green's function direct solution emphasizes a transmission line network; in particular a spherical transmission line provides the network representation of radiation problems. In this paper, the generalized network formulation is applied to the problem of radiation from flange-mounted waveguides. While this problem has been already solved with a variety of approaches, the advantage of the generalized network formulation is that, while comprising the previously developed approaches, it also allows rigorous derivation of network representations. In particular it is shown that, by expressing the field in the half-space in terms of spherical waves, the physically matched solutions provide, in some cases, advantages for numerical computations and for network representations.
AB - Electromagnetic linear field problems can be rigorously and systematically formulated in terms of linear networks. Use of the equivalence theorem permits the decomposition of the computational domain into sub-domains with common interfaces. In each sub-domain the basic building blocks for a linear network representation are provided by Tellegen's theorem and by the two alternative representations of the Green's function. Tellegen's theorem provides the basis for expressing field at interfaces in a consistent way. The eigenfunction expansion of the Green's function provides a resonant-type equivalent circuit useful for expressing the field inside a sub-domain; while the Green's function direct solution emphasizes a transmission line network; in particular a spherical transmission line provides the network representation of radiation problems. In this paper, the generalized network formulation is applied to the problem of radiation from flange-mounted waveguides. While this problem has been already solved with a variety of approaches, the advantage of the generalized network formulation is that, while comprising the previously developed approaches, it also allows rigorous derivation of network representations. In particular it is shown that, by expressing the field in the half-space in terms of spherical waves, the physically matched solutions provide, in some cases, advantages for numerical computations and for network representations.
KW - Cauer representation
KW - Electromagnetic field
KW - Equivalent circuits
KW - Foster representation
KW - Network models
KW - Scattering
KW - Waveguide radiation
UR - http://www.scopus.com/inward/record.url?scp=34250857429&partnerID=8YFLogxK
U2 - 10.1109/TAP.2007.897365
DO - 10.1109/TAP.2007.897365
M3 - Article
AN - SCOPUS:34250857429
SN - 0018-926X
VL - 55
SP - 1667
EP - 1678
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 6 I
ER -