skrf.network.z2s¶
- skrf.network.z2s(z, z0=50, s_def='power')[source]¶
convert impedance parameters 1 to scattering parameters 2
For power-waves, Eq.(18) from 3:
\[S = F (Z – G^*) (Z + G)^{-1} F^{-1}\]where \(G = diag([Z_0])\) and \(F = diag([1/2\sqrt{|Re(Z_0)|}])\)
For pseudo-waves, Eq.(73) from 4:
\[S = U (Z - G) (Z + G)^{-1} U^{-1}\]where \(U = \sqrt{Re(Z_0)}/|Z_0|\)
- Parameters
z (complex array-like) – impedance parameters
z0 (complex array-like or number) – port impedances
s_def (str -> s_def : can be: 'power', 'pseudo' or 'traveling') – Scattering parameter definition : ‘power’ for power-waves definition 3, ‘pseudo’ for pseudo-waves definition 4. ‘traveling’ corresponds to the initial implementation. Default is ‘power’.
- Returns
s – scattering parameters
- Return type
complex array-like
References
- 1
- 2
- 3(1,2)
Kurokawa, Kaneyuki “Power waves and the scattering matrix”, IEEE Transactions on Microwave Theory and Techniques, vol.13, iss.2, pp. 194–202, March 1965.
- 4(1,2)
Marks, R. B. and Williams, D. F. “A general waveguide circuit theory”, Journal of Research of National Institute of Standard and Technology, vol.97, iss.5, pp. 533–562, 1992.