A Series Solution for the Single-Mode Synthesis Problem Based on the Coupled-Mode Theory

In this paper, we present an exact analytical solution for the inverse scattering problem formulated by using the coupled-mode theory in the microwave range, assuming single-mode operation. The solution is a series that gives the required coupling coefficient for the microwave device as a function o...

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Bibliographic Details
Published in:IEEE transactions on microwave theory and techniques 2008-02, Vol.56 (2), p.457-466
Main Authors: Arnedo, I., Laso, M.A.G., Falcone, F., Benito, D., Lopetegi, T.
Format: Article
Language:English
Subjects:
Applied sciences
Circuit properties
Coupled-mode theory
Devices
Electric, optical and optoelectronic circuits
Electronic circuits
Electronics
Exact sciences and technology
filter synthesis
Frequency filters
Frequency response
Inverse problems
inverse scattering
Joining
matched filter
Matched filters
Mathematical analysis
Mechanical factors
Microstrip
microstrip technology
Microwave and submillimeter wave devices, electron transfer devices
Microwave circuits, microwave integrated circuits, microwave transmission lines, submillimeter wave circuits
Microwave devices
Microwave theory and techniques
Microwaves
Nonuniform
Passivity
Semiconductor electronics. Microelectronics. Optoelectronics. Solid state devices
Stability
Strips
Synthesis
Ultra wideband technology
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Summary:In this paper, we present an exact analytical solution for the inverse scattering problem formulated by using the coupled-mode theory in the microwave range, assuming single-mode operation. The solution is a series that gives the required coupling coefficient for the microwave device as a function of the target frequency response. A clear physical meaning for the terms of the series is discussed, and several useful properties for the synthesis are given, thus providing a deep understanding of the synthesis mechanics. The method allows for the design of microwave devices with arbitrary frequency response only constrained by principles of causality, passivity, and stability. The resulting device is, in general, a nonuniform waveguide that features a continuously varying profile, e.g., a nonuniform microstrip line with continuously varying strip width. As an example of the potential of the synthesis method, a matched filter for ultra-wideband applications is finally designed in microstrip technology and successfully tested.
ISSN:0018-9480
1557-9670
DOI:10.1109/TMTT.2007.914628