Hi All,

I'm looking for help from someone who has gone through the in-fixture 
calibration routine for a Vector Network Analyzer.  For this discussion, I 
would like to use as a reference Agilent application note 1287-9, 
"In-Fixture Measurements Using Vector Network Analyzers".  This application 
note can be found on the Agilent web site: www.agilent.com.

I am using a test fixture that looks like the one in Figure 10 of the 
application note.  The fixture  card was designed using the design guides 
recommended by Agilent.  All traces are 50 ohms.  The short standard is 
terminated in the center of the board.  The open and load standards are the 
same length as the short.  The thru trace is twice as long as the short.  
The load is designed with two 100 ohm resistors in parallel.

The Network Analyzer I am using is the Agilent(HP) 8753D.

My problem is in trying to determine the coefficients for the polynomial 
equation that describes the fringing capacitance of the open standard as 
described on page 13 of the application note.  The polynomial equation is C0 
+ C1*F + C2*F(squared) + C3*F(cubed) where C0, C1, C2, and C3 are the 
coefficients and F is frequency.  The units of  C0 are 1e-15 farads.  The 
units of C1 are 1e-27 farads/Hz.  The units of C2 are 1e-36 
farads/Hz(squared).  The units of C3 are 1e-45 farads/Hz(cubed).

Per the instructions on pages 13 and 14 of the application note, I measured 
the following capacitances in femto farads (1e-15) from the Smith Chart.  
The format of the data below is frequency in MHz followed by capacitance in 
femto farads.

10, 380
50, 324
100, 307
200, 300
400, 270
600, 246
1000, 214
1500, 150
2000, 70
2500, 23
3000, 2
3500, 14
4000, 86
4500, 165
5000, 279
5500, 208
6000, 148

I created an Excel file that uses the polynomial equation mentioned earlier 
to try to curve-fit the data.  (I can forward the Excel file to anyone who 
would like to see it.)  From the Excel file, I arrived at the following 
numbers for the coefficients:
C0 = 350
C1 = -200,000
C2 = 22,000
C3 = 2000

These coefficients did not provide and exact fit but it was close.

I then entered the coefficients into the calibration table of the Network 
Analyzer.  When I entered the values for C1 and C2, the Network Analyzer 
truncated the entries to 10,000.  This leads me to believe there is 
something wrong with my numbers.

If anyone can find a flaw in my approach, I would greatly appreciate your 
comments.  The calibration did not work with the truncated numbers.  After 
my attempted calibration, when I looked at the open standard on the Smith 
Chart of the Network Analyzer, it looked inductive.  There was an arc on the 
perimeter of the Smith Chart above the horizontal center line.

Thanks in advance.

Allen Tudor

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