Transfer Scattering Parameters Transmission line Question

Question asked by SOLT_guy on May 28, 2015
Latest reply on Jun 23, 2015 by SOLT_guy
Dear Sir:

I am new to microwave fixture de-embedding and I am in the process of learning

scattering transfer parameters T-parameters).   I have read conflicting accounts with

regard to how transfer scattering parameters are defined.   For example, if you go to this

link I have provided below and scroll down to the section entitled "scattering transfer parameters":

There one will see two equations that define the T matrix differently.   This is not the only

example that I have read online where the T parameter matrix is defined differently.  There

exist many definitions of T parameters.

Therefore, to avoid any confusion, the T parameter matrix equations that I will be

referencing are found in Agilent Application Note 1364-1 (see Appendix for the reference

equations).  For your convenience I have provided a link to this application note:

I would like to be provided the 2x2 T matrix for two (2) lossless cables (each cable

is a separate T matrix, cable 1 = 1/4 wavelength and cable 2 = 1/8 wavelength) connected to

a fixture T matrix.  The two matrices are configured in this equation below:

{ Tmeasured } = { T-cable 1} * {T-fixture} * {T-cable 2 }* {T-load=Zo}

If you see page 5 of AN 1364-1, a fixture is modelled as an ideal tline in a 2x2 S

matrix in this form:

{ 0                      e^(-j*theta) }
{ e^(-j*theta)                 0      }

I would like to be provided the 2x2 transmission scattering matrix (T-matrix) for each

cable matrix, both, { T-cable 1 } and { T-cable 2 }, such that the multiplication of these

matrices will be mathematically consistent with the { T measured } matrix found in the

equation above.

Can someone please provide me with an explicit answer to this question in matrix form?

Thank you for your consideration.

Edited by: SOLT_guy on May 28, 2015 8:24 AM

Edited by: SOLT_guy on May 28, 2015 8:25 AM

Edited by: SOLT_guy on May 28, 2015 8:31 AM

Edited by: SOLT_guy on May 28, 2015 8:33 AM