Theory of microwave coupled-line networks

-A method for the analysis of 2-D lumped element filter networks is presented. The method is based on the general telegrapher's equations of multi-wire transmission lines. In the discussion of multi-wire line, it supports multi-mode propagations. A 2-D lumped element network is equivalent to a set of sub-networks that are combiner at the input and output. While the combiners are generated according to the eigenvector of the characteristic matrix of the 2-D network, each of the subnetwork is a lowpass network that supports a single mode propagation whose propagation constant corresponding to a eigenvalue of the characteristic matrix. This method can be applied to the analysis of metamaterials and can be used for the design of waffle-iron filters.

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“…The method of analysis for 2-D filters begins with the discussion of multi-mode propagation in N-wire line as introduced in [2].…”

Section: Multimode Propagationsmentioning

confidence: 99%

“…The method of analysis is based on the discussion of wave propagation in multi-wire line that is presented in [2]. First, a 2-D lumped element network is derived from the multi-wire line structure and it is shown that it supports multi-mode of propagations [3].…”

Section: Introductionmentioning

confidence: 99%

Method of analysis for 2-D lumped element filter networks

Hunter

Rhodes

Snyder

et al. 2015

2015 IEEE MTT-S International Microwave Symposium

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“…35, 38 and 20 to be valid the eigenvalues must be distinct and the current and voltage vectors in eqns. 1 must obey the biorthoganility [7,8] conditions for V s s (JC) and 7* (x) zero. The expressions for near-and far-end crosstalk in eqns.…”

Section: _ W Inmentioning

confidence: 99%

Coupling between multicoaxial cable systems. Part II: Theoretical predictions of crosstalk and experimental results

Sali

Benson

Sitch

1982

IEE Proc. A Phys. Sci. Meas. Instrum. Manage. Educ. Rev. UK

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The final crosstalk formulas are derived for a transmission-line system comprising n coaxial cables by using the solution strategy and numerically efficient method described in the companion paper. Cases are discussed where the tertiary circuits between the coaxial cables are terminated in various loads. The method is demonstrated by deriving the crosstalk formulas for short-circuited tertiary circuits, for which the effect of current dependant coupling through transfer impedance is most enhanced.

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“…In section II, starting from the basic electromagnetics of a TEM N-wire transmission line [2] it is shown that the necessary condition for a single mode of propagation is that the static inductance matrix of the structure is the inverse of the capacitance matrix. With the exception of the N wire line this is generally not the case, as it would require extremely complex networks.…”

Section: Introductionmentioning

confidence: 99%

Multimode Propagation in 2-D Filters and Metamaterials

Hunter

Rhodes

Sandhu

et al. 2016

IEEE Trans. Microwave Theory Techn.

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Abstract-Meta-materials are characterised using a modal technique for the analysis of 2N-port two dimensional filter networks. It will be shown that in general, all such networks support N modes of propagation each with different propagation constants unless as with the TEM multi-wire transmission line, the inductance matrix is the inverse of the capacitance matrix. Furthermore a simple equivalent circuit for these 2N port networks is derived, enabling complete network analysis for any combination of modal excitations. An explicit formula is derived for the propagation constants of a quasi lowpass filter. This demonstrates that there are always N modes even when the transverse network is infinite in extent.

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Theory of microwave coupled-line networks

Cited by 20 publications

References 38 publications

Method of analysis for 2-D lumped element filter networks

Method of analysis for 2-D lumped element filter networks

Coupling between multicoaxial cable systems. Part II: Theoretical predictions of crosstalk and experimental results

Multimode Propagation in 2-D Filters and Metamaterials

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