Hello Aaron,
"the real part of probe coil impedance" is the impedance of the self made coil connected to the VNA, not the tag. The two frequencies where the self made coil equivalent serial resistance (Re(Zself_made_coi)) is half the equivalent resistance at center frequency correspond to the frequencies where the current inside the tag coil is the center frequency current devided by sqrt(2). In other word, the tag Q factor measurement is done looking for the particular values reached by the VNA probe coil impedance when the power inside the tag is devided by two compared to resonant frequency.
Variation of tag Q factor with RF power is visible on S11 curve because S11 curve is directly linked to the probe coil impedance which is also dependant on tag impedance and coupling. However, measuring the tag Q factor based on S11 curve with -3dB bandwidth criteria is not right. Indeed, S11 shows the mismatch to 50Ohm reference impedance and not directly the VNA probe coil impedance. As a result, S11 measurement is the right measurement to do with VNA, but you have to go a step further and setup the VNA to display the measured impedance, particularly the real part of the measured impedance) and apply the R/2 method described above (R being the real part of VNA coil impedance at peak). The peak frequency norammy corresponds to the resonant frequency observed on S11 curve at same power condition.
Sorry for the long explanation :-), feel free to ask for more infomation about that.
About your tag tuning frequency: just to confirm, it has been obtained with the the tag IC soldered on the tag antenna right?
calculation of the additional tuning capacitance Cadd to solder in parallel with the tag IC is the following:
Cadd= ((f1/F2)²-1)* Ctag where:
- f1 is the actual tag tuning frequency (25.3MHz in your case)
- F2 is the desired tuning frequency
- Ctag is the ST25XXX Tag IC internal tuning capacitance (called Ctun in the product datasheet).
What is the exact RFID tag IC part number (ST25XXX or M24LRXX)?
Care must be taken when using external tuning capacitance: smd ceramic capacitance generally have a very high Q factor which means that they are close to ideal caps. the more the external tuning capacitance is high the more the tag Q factor will also increase. for instance, using an external tuning cap whith same value as tag IC internal tuning cap multiplies the tag Q factor by 2 because the total tag IC capacitance becomes twice its tuning capacitance value.
tag Q factor impacts the received voltage but also the shape of the RF signal modulation received on the tag IC inputs. to make it simple, a square modulation send by the RFID reader in air will become trapezoidal with a rising and falling time of modulation proportionate to the Q factor. Our tag ICs are designed to meet standards requirement's with antennas designed to offer a tuning frequency around 13.56MHz without external caps. Antennas using an external tuning capacitance in a range o 1, 2, or more time the tag internal tuning capacitance may have a Q factor much larger than "natural" antenna and encounter performance limitation due to the slew rate of received signal.
in such condition, we strongly recommend you to validate the performance of the retuned tag, monitoring the read range in front of the reader.
In case you tag will be reader by various readers , we recommend to redesign the tag antenna to limit the external capacitance to less than 20% of tag IC tuning capacitance.
best regards,
HC.