The equivalent circuit of a microstrip crossover in a dielectric substrate

Papatheodorou, S.; Harrington, Roger F.; Mautz, Joseph R.

doi:10.1109/22.46422

Cited by 31 publications

(8 citation statements)

References 10 publications

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“…To perform the integral equations, the 3-D Green's function of structure should be determined. For one-layer media the closed-form Green's function in series form has been presented in [10]. In multilayer circuits, using the spectral domain method, the electrostatic Green's function is determined and can be approximated by real-valued images in contrast with complex images [26].…”

Section: Quasi-static Approachmentioning

confidence: 99%

“…When the transverse dimensions of the structure are much smaller than the wavelength, the quasi-static methods are traditionally faster than full-wave techniques and have acceptable accuracy. In the quasi-static analysis, the excess charge technique has been introduced, [10,11], and the lumped circuit model of the cross-region derived by solving the coupled integral equations using method of moments [12].…”

mentioning

confidence: 99%

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Investigation of Crosstalk and Coupling Effects of Incident Plane Waves in Orthogonal Microstrips in High-Speed Integrated Circuits Using Full-Wave and Quasi-Static Methods

Mehdipour

Aliakbarian

Kamarei

2008

Wireless Pers Commun

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The crosstalk and coupling of the external fields on orthogonal microstrip transmission lines in different layers have significant effects on signal quality in MMIC and PCBs. In this paper the crosstalk is analyzed in detail using both full-wave and quasi-static methods. The used full wave method is mixed potential integral equation method of moment (MPIE MoM). Because of the weak coupling between lines, the effect of the incident plane-wave is studied by applying transmission line theory in a scattered voltage formulation uses quasi-TEM propagation model for each interconnection and the exact distribution of the incident electric field within the layers. Afterward, by using the predetermined lumped circuit model of the cross-region, the effect of coupling between two lines is calculated and then applied to terminal voltages in 1-20 GHz frequency range which results in the final terminal voltages.

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Section: Quasi-static Approachmentioning

confidence: 99%

mentioning

confidence: 99%

Investigation of Crosstalk and Coupling Effects of Incident Plane Waves in Orthogonal Microstrips in High-Speed Integrated Circuits Using Full-Wave and Quasi-Static Methods

Mehdipour

Aliakbarian

Kamarei

2008

Wireless Pers Commun

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“…The crossover discontinuity can be characterized by the equivalent circuit represented Fig.2. To obtain the capacitances C1, C2, Cm by the excess charge technique, we adopt the formulation presented in [1], based on the Space Domai Integral Equation (SDIE). On account of multilayered media, the complex image theory [2] is applied to obtain an identical mathematical formulation for the electrostatic three-dimensional Green's function and an acceptable cdmputation time whatever the number of layers.…”

Section: Modelizationmentioning

confidence: 99%

Comparison Between a Full-Wave and a Quasi-Static Analysis for High-Frequency Interconnects Crossover in Multilayered Dielectric Media

Carpentier

Paleczny

Prlbetich

et al. 1994

24th European Microwave Conference, 1994

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Microstrip discontinuities such as open ends, gaps, steps, bends, T junctions and crossing, which are fundamental passive components m microwave ad millimeter-wave monolithic circuits, have been extensively analysed by several authors.-For multilevel integrated circuits, what kInd of new typical transitions occur? We find, naturally, via holes and crossover between conducting strips. To date little has been reported on the exact analysis of such complex structures. Our object is to study a strip crossover in a multilayered dielectric media.Although the full-wave analysis provides the highest-degree of accuracy, it requires extensrve analytical and umerical calculations. In comparison, the quasi-static aanalysis are tradionally faster in term of CPU time and analytical process than ful-wave techniques. The choice ofa faster numerical tool (a quasi-static model) needs to define the range ofvalidity. This leads to develop a fiul-wave and a quasi-static analysis. That was done and we show for a typical structure the discrepancy versus frequency. MODELIZATION:The cross sectional and top views of the strip crossover, are depicted in Fig.l. Both strs are infinite length, perfectly conducting and mfinitely thi. Quasi-static analysis:Our study is based on electrostatic techniques. The crossover discontinuity can be characterized by the equivalent circuit represented Fig.2. To obtain the capacitances C1, C2, Cm by the excess charge technique, we adopt the formulation presented in [1], based on the Space Domai Integral Equation (SDIE). On account of multilayered media, the complex image theory [2] is applied to obtain an identical mathematical formulation for the electrostatic three-dimensional Green's function and an acceptable cdmputation time whatever the number of layers. With the equivalent circuit presented Fig.2, we can obtain the normalized impedance matrix and consequently the scattering matrix 1271

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“…It has been shown that high directivity for directional couplers can also be obtained using multilayer configuration [19][20][21]. The design of the two-line multilayer coupler in [20] is similar to the ones presented in [22,23] which were conducted with static electric field analysis and full wave analysis based on Green's functions, respectively. Although there is an extensive literature on the design of multilayer directional couplers [24][25][26], the design procedure relies on either design charts with the prior knowledge of geometry or numerical analysis.…”

Section: Introductionmentioning

confidence: 99%

Design of Multilayer and Multiline Microstrip Directional Coupler With Closed Form Relations

Eroğlu¹,

Rönnow²

2018

PIER C

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Abstract-Design, simulation, implementation and measurement results of multiline and multilayer microstrip directional couplers are given with closed form relations.Step-by-step design procedure reflecting the design practice of directional couplers, which requires only information on coupling level, port impedances and operational frequency, is presented. The method based on the synthesis technique applied in the design of conventional two-line microstrip symmetrical directional couplers is adapted to design multilayer directional couplers with the aid of electromagnetic simulators using parametric analysis with curve fitting method. The proposed design method is compared with the measurement results and accuracy is verified. It has been also shown that the directivity of the couplers designed using the multilayer structure is improved significantly. A method such as the one presented in this paper can be used to design multilayer two-line and three-line directional couplers which can be integrated to the front end of an RFID systems to provide the required isolation between transmitter and receiver and prevent signal leakage due to use of conventional circulators.

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The equivalent circuit of a microstrip crossover in a dielectric substrate

Cited by 31 publications

References 10 publications

Investigation of Crosstalk and Coupling Effects of Incident Plane Waves in Orthogonal Microstrips in High-Speed Integrated Circuits Using Full-Wave and Quasi-Static Methods

Investigation of Crosstalk and Coupling Effects of Incident Plane Waves in Orthogonal Microstrips in High-Speed Integrated Circuits Using Full-Wave and Quasi-Static Methods

Comparison Between a Full-Wave and a Quasi-Static Analysis for High-Frequency Interconnects Crossover in Multilayered Dielectric Media

Design of Multilayer and Multiline Microstrip Directional Coupler With Closed Form Relations

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