The Design of Directional Couplers Using Exponential Lines in Inhomogeneous Media

Sobhy, Mohammed; Hosny, E.A.

doi:10.1109/tmtt.1982.1131019

Cited by 14 publications

(9 citation statements)

References 7 publications

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“…Moreover, the solution for K = 2 turns out to be way less accurate than in the previous case. The second example refers to a coupled exponential line designed for use as a directional coupler [3]. In this case, the geometry of the microstrip lines is designed so that the even and odd mode characteristic impedances exhibit exponential behavior:…”

Section: Application Example: Exponential Linesmentioning

confidence: 99%

“…The trace width and separation are computed at discrete locations to achieve the target values of the characteristic impedances (9). The resulting phase velocities v e and v o of the even and odd modes, as reported in [3], are provided in Table I. For the simulation performed in the following, the even and odd mode parameters are converted into the standard p.u.l.…”

Section: Application Example: Exponential Linesmentioning

confidence: 99%

“…In particular, exponential lines are an important category of NUTLs and their analysis has been extensively studied [2], [3].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of coupled exponential microstrip lines by means of a multi-step perturbation technique

Manfredi

Zutter

Ginste

2016

2016 IEEE 20th Workshop on Signal and Power Integrity (SPI)

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Abstract-In this contribution, an iterative and adaptive multistep perturbation technique for nonuniform transmission lines is presented and applied to the analysis of coupled exponential lines. The Telegrapher's equations for nonuniform lines, which do not have a closed-form solution, are recast as the equations for uniform lines with equivalent distributed sources, for which a well-known numerical solution procedure exists. The line voltages and currents are computed in multiple steps by iteratively updating the distributed sources. The method turns out to be faster than classical solutions based on the discretization of the line into uniform subsections. Two validation examples are proposed that deal with coupled exponential lines, which have relevant applicability in microwave components.

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Section: Application Example: Exponential Linesmentioning

confidence: 99%

Section: Application Example: Exponential Linesmentioning

confidence: 99%

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Analysis of coupled exponential microstrip lines by means of a multi-step perturbation technique

Manfredi

Zutter

Ginste

2016

2016 IEEE 20th Workshop on Signal and Power Integrity (SPI)

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“…(16) for coupled transmission lines is now decoupled, such that even and odd modes can be treated separately. This is expected, due to the symmetry of the coupled transmission lines [11]. Empirical expressions for the wide-range frequency-dependent ␤ i and Z 0i of symmetric coupled microstrip lines are available in [12] and will be used in the following calculations.…”

Section: Odes For Nonuniformly Coupled Microstrip Linesmentioning

confidence: 99%

“…Coupled microstrip lines are very useful for designing both backward-and forward-coupled directional couplers [11,18,19]. The analysis method described in these studies was applied to a backward coupler in [11], where detailed circuit parameters and experimental results were provided.…”

Section: B Microstrip Directional Couplers Using Exponential Linesmentioning

confidence: 99%

An efficient method for analyzing nonuniformly coupled microstrip lines

Chen

Shen

2005

Int J RF and Microwave Comp Aid Eng

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Coupled Transmission Lines

2021

Introduction to Modern Planar Transmission Lines

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This thesis presents the theory of interaction or coupJJ.ng between .::;' two parallel, closely spaced single transmission_llneao _Thia theory. can also be applied to a pair of balanced transmission lineao This study is part of the research project,• "Probabilistic System Analysis 9'' sponsored by Sandia Corporation, under Contract Noo 50-7841-o The original goal of this part of the project was to investigate t}ie $.nterference or induced voltage on a line among a ~dle of l.bies of w~icb pulses are past on one of the other lines.In the course of this study, it was found-that this investigation of coupled transmission li~e theory is not only of . .i:ntel'8at to Sandia Corporation for just knowing how much interference voltage.is .biduced and how this voltage can be reduced 9 but the.theory also bas a great potential of application to a large class of transmissionproblemso For example 9 -tbe analysis of multimode transiliisaiol\' syst~. ~d the cU1alysis -of interaction.between drifting charged particles and propagating elec-. tromagnetic waves•o fri view of these more . iq,ortan:t applications•, the •.study made here • is beyond Sanclia 9 s . . . inte~t O ' . ,, ti., Indebtediwaa is acknowledged to~l>ro Kenneth Ro Cook for-bis recommendation and to Dro Arthur'Mo. Breipobl for granting.the research.assis-_tantship which enabled the author to work on these intereating-probleinso The author wishes to express his sincere appzrec!atim to:Drso Ko-Ro .gestive diacuaaioneo .iii 7 2. The Contour Used For the Special Type Integrands Discussed In The Text o • o • o • • • • •• • • • • • • o o .. o • • • • • 3.

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The Design of Directional Couplers Using Exponential Lines in Inhomogeneous Media

Cited by 14 publications

References 7 publications

Analysis of coupled exponential microstrip lines by means of a multi-step perturbation technique

Analysis of coupled exponential microstrip lines by means of a multi-step perturbation technique

An efficient method for analyzing nonuniformly coupled microstrip lines

Coupled Transmission Lines

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