1991/03/01 by Y.L. Chow, Jian Yang, Da‐Gang Fang +1 · 662 citations
Physics and Astronomy · Engineering · Mathematics · #Electromagnetic Scattering and Analysis #Electromagnetic Simulation and Numerical Methods #Microwave Engineering and Waveguides #Function (biology) #Microstrip #Green's function #Substrate (aquarium) #Field (mathematics) #Mathematical analysis #Numerical integration #Mathematics #Physics #Optics #Pure mathematics #Geology
paper · doi:10.1109/22.75309
published in IEEE Transactions on Microwave Theory and Techniques 39(3), 588-592 (IEEE Microwave Theory and Techniques Society)
openalex publication_date 1991/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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.>