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A closed-form spatial Green's function for the thick microstrip substrate

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4 Author(s)
Chow, Y.L. ; Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada ; Yang, J.J. ; Fang, D.G. ; Howard, G.E.

The spatial Green's function for the open microstrip structure, especially with a thick substrate, is generally represented in the time-consuming Sommerfield integrals. Through the Sommerfield identity, a closed-form spatial Green's function of a few terms is found from the quasi-dynamic images, the complex images, and the surface waves. With the numerical integration of the Sommerfeld integrals thus avoided, this closed-form Green's function is computationally very efficient. Numerical examples show that the closed-form Green's function gives less than 1% error for all substrates and source-to-field distances

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Microwave Theory and Techniques, IEEE Transactions on  (Volume:39 ,  Issue: 3 )