VALAB

SPECTRAL AND SPATIAL DOMAIN GREENS FUNCTION FOR STRATIFIED MEDIA

Geometry of the problem

Description

In the table the characteristics of the four layers structures are reported

Layer	Dielectric constant (er)	height (d) [cm]
1	PEC
2	12.5	0.03
3	2.1	0.07
4	1

Results

In the following figures the behaviour of the spectral domain and spatial domain Greens function for the scalar potential at 30 GHz are reported.

Spectral domain Green's function for scalar potential
# t Real Gx^qe 4.145165e-03 -3.202267e+00 1.782844e-02 -3.579139e+00 3.144827e-02 -3.815159e+00 6.281194e-02 -3.442518e+00 8.512393e-02 -2.975129e+00 1.119195e-01 -2.461213e+00 1.567126e-01 -1.902039e+00 2.240504e-01 -1.391930e+00 2.914517e-01 -1.022672e+00 3.904069e-01 -7.033246e-01 4.984350e-01 -5.256746e-01 6.019372e-01 -3.006514e-01 7.235005e-01 -1.712207e-01 8.135733e-01 -1.327299e-01 8.946155e-01 -4.644277e-02 9.531554e-01 -4.991118e-03 9.982024e-01 -9.220878e-03 Spectral domain Green's function for scalar potential
# t Imaginary Gx^qe 3.172320e-04 5.295745e+00 1.410625e-02 4.684121e+00 2.793757e-02 3.978597e+00 4.170544e-02 3.413924e+00 5.545216e-02 2.896202e+00 7.368243e-02 2.425006e+00 1.144573e-01 1.904746e+00 1.821546e-01 1.616699e+00 2.858472e-01 1.419169e+00 3.759834e-01 1.316809e+00 4.886431e-01 1.212334e+00 6.013239e-01 1.060909e+00 7.184883e-01 9.560105e-01 8.131292e-01 8.532273e-01 8.897301e-01 7.990864e-01 9.438076e-01 7.470603e-01 9.888757e-01 6.958802e-01 Spatial domain Green's function for scalar potential
#log10(k0*rho) log10|Gx^qe| -3.000598e+00 1.486792e+01 -2.820456e+00 1.467925e+01 -2.622129e+00 1.450943e+01 -2.405959e+00 1.428302e+01 -2.081704e+00 1.394340e+01 -1.703492e+00 1.352830e+01 -1.433621e+00 1.316981e+01 -1.181508e+00 1.288679e+01 -9.835226e-01 1.264151e+01 -6.964911e-01 1.207547e+01 -5.161786e-01 1.192453e+01 -3.350978e-01 1.194340e+01 -1.722872e-01 1.192453e+01 -2.783232e-02 1.184906e+01 2.969350e-01 1.162264e+01 5.135320e-01 1.149057e+01 9.830103e-01 1.124528e+01