A time delay can be modeled as the exponential transfer function : e^{(sTd)} as seen HERE . Therefore the slope of the phase gives us the time delay.
A RG405 coaxial cable, exactly 5.5 meters in length, was fit to an ideal delay function e^{(sTd)} , with T_{d }= 150 ns.
The plots shows the actual data, fit data and data after correction using the ideal model stated above.
Conclusion:
Delay in RG405 cables is approximately 27.27 ns per meter. This value can be used to correct the phase in measurements of transimpedance for each PD by dividing out the ideal transfer function for time delay.
[EDIT: This looks like we have about 12 % the speed of light inside the RF cables. Too small to be true. I will check tomorrow if the Network analyzer itself has some delay and update this value.]
The varying attenuation of about 1dB due to the cable is not compensated by this. We need to separately include this.
Things to do:
1) Get the length of RF cables that is being used by each PD, so that the compensation can be made.
2) Calculate the attenuation and delay caused by RF multiplexer and Demodulator boards. Include these in the correction factor for transimpedance measurements.
