A dispersion formula satisfying recent requirements in microstrip CAD

1 August 1988

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Microwave Theory and Techniques

Vol. 36 (8) , 1246-1250
https://doi.org/10.1109/22.3665

Abstract

A dispersion formula epsilon /sup *//sub eff/(f)= epsilon /sup */-( epsilon /sup */- epsilon /sup *//sub eff/(0))/(1+(f/f/sub 50/)/sup m/), for the effective relative permittivity epsilon /sup *//sub eff/(f) of an open microstrip line is derived for computer-aided design (CAD) use. The 50% dispersion point (the frequency f/sub 50/ at which epsilon /sup *//sub eff/(f/sub 50/)=( epsilon /sup */+ epsilon /sup *//sub eff/(0))/2)) is used a normalizing frequency in the proposed formula, and an expression for f/sub 50/ is derived. To obtain the best fit of epsilon /sup *//sub eff/(f) to the theoretical numerical model, the power m of the normalized frequency in the proposed formula is expressed as a function of width-to-height ratio w/h for w/h>or=0.7 and as a function of w/h, f/sub 50/, and f for w/h

Keywords

This publication has 13 references indexed in Scilit:

Accurate Models for Microstrip Computer-Aided Design
Published by Institute of Electrical and Electronics Engineers (IEEE) ,2005
Dispersion Characteristics of Open Microstrip Lines
IEEE Transactions on Microwave Theory and Techniques, 1987
Dispersion of Transient Signals in Microstrip Transmission Lines
IEEE Transactions on Microwave Theory and Techniques, 1986
Important Role of Inflection Frequency in the Dispersive Property of Microstrip Lines
IEEE Transactions on Microwave Theory and Techniques, 1982
Frequency Dependent Characteristics of Microstrips on Anisotropic Substrates
IEEE Transactions on Microwave Theory and Techniques, 1982
Accurately Approximate Formula of Effective Filling Fraction for Microstrip Line with Isotropic Substrate and its Application to the Case with Anisotropic Substrate
IEEE Transactions on Microwave Theory and Techniques, 1979
Analysis of the Microstrip and the Electrooptic Light Modulator
IEEE Transactions on Microwave Theory and Techniques, 1978
2-18-GHz Dispersion Measurements on 10-100-Omega Microstrip Lines on Sapphire
IEEE Transactions on Microwave Theory and Techniques, 1976
Microstrip Dispersion Model
IEEE Transactions on Microwave Theory and Techniques, 1973
Microstrip dispersion
Proceedings of the IEEE, 1972