Coupled 2D Telegrapher's equations for PDN analysis

Fisher and Shannon Functionals for Hyperbolic Diffusion

“…Advances in understanding wave propagation in a conducting medium were achieved through the analysis of the telegrapher's equation (TE), which originally appeared in the study of electromagnetic fields in waveguides [1][2][3]. This hyperbolic diffusion equation has been used in different areas of research, including the hyperbolic heat equation [4], generalized Cattaneo-Fick equations [5,6], neuroscience [7,8], biomedical optics [9], electromagnetic analysis in multilayered conductor planes [10], penetration of waves in complex conducting media [11], asymptotic diffusion from Boltzmann anisotropic scattering [12][13][14], TE in 2D and 3D for engineers problems [15], describing cosmic microwave background radiation with spherically hyperbolic diffusion [16,17], finite-velocity diffusion in heterogeneous media [18][19][20][21], as well as in the damping and propagation of surface gravity waves on a random bottom [22].…”