If an antenna is terminated at 50 ohms, then the S11 is less than 0DB.
If an antenna is terminated at a complex impedeance (50-500*i) ohm and the termination is passive as well , is it possible that the S11 is greater than 0dB for certain frequency range? Thanks.
We discussed this phenomena in this forum few times.
Your fault is to fix the Characteristic Impedance being as 50 Ohm.Essentially your Characteristic Impedance is not 50 anymore and S11 cannot be calculated as usual.
Instead it should be calculated as
Let me answer you..
In fact there is no complex Characteristic Impedance in real world except some very lossy mediums ( what Textbook says..)
In additional to, some few textbooks cover this phenomena and it's not very detailed explained and been passed as is..
Reflection always comes together with characteristic impedance of a transmission line. In your case, the load impedance is 50+j500, source impedance is 50-j500. While they are connected together without any delay. In this situation, reflection doesn't make any mean anymore. Reflected signal must travel in the opposite transmission direction of the signal, you have no way to distinguish the direction of signal since the delay is zero.
While if you put a transmission line between the source and load, there exists delay and it makes the reflection meaningful.
The output impedance of the RFID chip is 50-500j, then the antenna input impedance should be 50+500j for conjugated matching.
Now I am designing the antenna with the port impedance set to 50+500j in HFSS.
In your design, include the feed of antenna; and the cable in between as well. It's never a perfect match between chip and antenna; you need to add delay components and lossy parts to make matching work. As others have stated before, reflection makes sense when there are space to reflect.
You can check the concept of using lossy cables(or tapered transmission lines when chip input widths do not match ) to match amplifiers whose Input/Output matching are bad.
We discussed this phenomena in this forum few times.
Your fault is to fix the Characteristic Impedance being as 50 Ohm.Essentially your Characteristic Impedance is not 50 anymore and S11 cannot be calculated as usual.
Instead it should be calculated as
If a source impedance is, in fact, complex, and you want to calculate how much power it will exchange with some complex load impedance, then using the complex source impedance as the "reference" impedance gives the correct results.
The reference impedance is not necessarily the characteristic impedance of the transmission line connected to a port... it's really an arbitrary thing.