On the Solution of a Microstripline with Two Dielectrics

Callarotti, R.C.; Gallo, Angela

doi:10.1109/tmtt.1984.1132680

Cited by 28 publications

(17 citation statements)

References 7 publications

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“…It follows that the transformation is not affected by the presence of a stacked cover and the parameters z 0 , A, a 0 , b 0 maintain the same expression reported in Callarotti and Gallo (1984). An analogous Schwarz-Cristhoffel mapping, again following (Callarotti and Gallo, 1984):…”

Section: Theorymentioning

confidence: 59%

“…In order to calculate C, we apply the conformal transformation already proposed in Callarotti and Gallo (1984) for the uncovered microstrip to the structure shown in Figure 1, half of which has been schematized in the complex z plane in Figure 2(a).…”

Section: Theorymentioning

confidence: 99%

“…A Schwarz-Christoffel mapping is now applied in the complex plane of Figure 2(a), following (Callarotti and Gallo, 1984):…”

Section: Theorymentioning

confidence: 99%

“…and obtaining the equivalent geometry shown in Figure 2(b) for the real variable e. It is worth noting that this mapping involves only the points z 1 , z 2 , z 3 , z 4 , z 5 and z 6 , which are not changed from the case in Callarotti and Gallo (1984) for the uncovered strip. It follows that the transformation is not affected by the presence of a stacked cover and the parameters z 0 , A, a 0 , b 0 maintain the same expression reported in Callarotti and Gallo (1984).…”

Section: Theorymentioning

confidence: 99%

“…The aim of this paper is to extend the conformal mapping theory (Callarotti and Gallo, 1984) to a microstrip line with a multi-layered dielectric cover. This extension allows a straightforward determination of a closed analytical formula for the line characteristic impedance, valid with and without the presence of the cover.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Characteristic impedance of a microstrip line with a dielectric overlay

Barbuto

Alù²,

Bilotti

et al. 2013

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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In this paper, an analytical expression for the characteristic impedance of a microstrip line in presence of a dielectric cover is presented. Assuming a quasi-TEM propagation mode, a rigorous conformal mapping based on the Schwarz-Christoffel transformation is employed to derive the equivalent capacitance model, which can then be applied to derive a closed analytical expression for the effective permittivity and the characteristic impedance of the line. Such a formulation is not limited to the case of a single cover layer, but an arbitrary number of electric overlays can be considered as well. Comparisons with published numerical results and full-wave simulations in the case of a single cover layer have been also performed to test the validity of the proposed approach

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Section: Theorymentioning

confidence: 59%

Section: Theorymentioning

confidence: 99%

“…A Schwarz-Christoffel mapping is now applied in the complex plane of Figure 2(a), following (Callarotti and Gallo, 1984):…”

Section: Theorymentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Characteristic impedance of a microstrip line with a dielectric overlay

Barbuto

Alù²,

Bilotti

et al. 2013

COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Design formulas for liquid crystal phase shifter based on microstrip transmission line

Kobyakov

Zakharian

2021

Int J RF Microw Comput Aided Eng

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Closed-form analytical formulas are presented to calculate a figure of merit (FoM) of a liquid crystal (LC) phase shifter (PS) based on microstrip transmission line (MS TL). New expressions are derived to account for anisotropic loss of LC and loss in the superstrate. Although approximate, the presented framework provides a useful insight into the effect of numerous design parameters of the LC PS, such as geometric dimensions of TL or complex permittivity of LC and the superstrate. Comparison with the full-wave numerical analysis of Maxwell's equations showed good agreement in the calculated effective permittivity, dielectric and conductor losses and the FoM for operating frequencies up to 12 to 15 GHz. Furthermore, reasonable quantitative agreement for the FoM is maintained for geometries of interest even at millimeter wave frequencies, up to 30 GHz.

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