Multilayered Green’s function

Spatial-domain Green's functions are used extensively in MoM for layered structures. For flat structures it is relatively simple, only GA_xx (xx-dyadic component of the vector potential)  and G_q (scalar potential component)  are needed. For 3D structures you also need to use GA_zz, GA_xz and GA_zx. These components are not unique. The results in this section use essentially Michalski's Formulation-C Green's Functions [1] . To represent GA and G_q the Transmission Line Green's Functions (TLGF's), are used [2].

Click here to see some notes on multilayered Green’s function

The solution is based on the Discrete Complex Image Method.

Click here to see some notes on Generalized Pencil of Function (GPOF) method

References

1. K. A. Michalski and D. Zheng, “Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, part I: Theory,” IEEE Trans. Antennas Propagat., vol. 38, pp. 335
   
   344, Mar. 1990.
2. K. A. Michalski and J. R. Mosig, “Multilayered media Green’s functions in integral equation formulations,” IEEE Trans. Antennas Propagat., vol. 45, pp. 508
   
   519, Mar. 1997.
3. G. Dural and M. I. Aksun, “Closed-form Green’s functions for general sources in stratified media,” IEEE Trans. Microwave Theory Tech., vol. MTT-43, pp. 1545
   
   1552, July 1995.
4. Y. L. Chow, J. J. Yang, D. G. Fang, and G. E. Howard, “A closed-form spatial Green’s function for the thick microstrip substrate,” IEEE Trans. Microwave Theory Tech., vol. MTT-39, pp. 588
   
   592, Mar. 1991. [available data Fig.4 (10GHz)]
5. M. I. Aksun, ”A robust approach for the derivation of a closed-form Green's function,” IEEE Trans. Microwave Theory Tech., vol. MTT-44, pp. 651-658, Mar. 1996. [available data (Fig.3 and Fig.4), (Fig.5 and Fig.6)]