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A dispersion formula satisfying recent requirements in microstrip CAD

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1 Author(s)
Kobayashi, M. ; Dept. of Electr. Eng., Ibaraki Univ., Japan

A dispersion formula ε*eff(f)=ε* -{ε**eff(0)}/{1+( f/f50)m}, for the effective relative permittivity ε*eff(f) of an open microstrip line is derived for computer-aided design (CAD) use. The 50% dispersion point (the frequency f50 at which ε*eff(f50)={ε **eff(0)}/2}) is used a normalizing frequency in the proposed formula, and an expression for f50 is derived. To obtain the best fit of ε *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⩾0.7 and as a function of w /h, f50, and f for w/h⩽0.7. The present formula has a high degree of accuracy, better than 0.6% in the range 0.1<w/h⩽10, 1<ε*⩽128, and any height-to-wavelength ratio h0

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:36 ,  Issue: 8 )