HFSS15: Impedance Calculation for Layered Impedance Boundary

The impedance of the layered structure is calculated by recursively calling the impedance calculation formulation known from transmission line theory:

(1)

where

• Z _inputk is the input impedance for the k^th layer.

(2)

• ch is the hyperbolic cosine function.

• sh is the hyperbolic sine function.

• 

where

• g is the propagation coefficient.

• k₀ is the free space wave number, , where w is the angular frequency, 2pf.

• e_rk is the relative complex permittivity of the K^th layer.

• m_rk is the relative complex permeability of the K^th layer.

where

• 

• 

• d_k is the thickness of the K^th layer.