Circuital analysis is a technique that allows the separation of complex problems into simpler ones, which are then joined back into a single response. This way, the parameters of any structure (i.e. Z, Y or S) can be easily found.
Now, let's say that I have a resonator and that through circuital analysis I was able to obtain an expression for the admittance matrix (and thus, also for the scattering matrix). Now, I want to generate the field distribution inside the resonator, but I am not sure about how to do it. Can I map the values for any coordinate just by knowing the scattering matrix?
Any comments/references will be greatly appreciated.
3D field distribution depends on on geometry and material fillings of the resonator but in some cases it is possible to link the circuit model with the E-M fileds. Consider a planar resonator made of a microstrip line of certain length. One can imagine and even calculate fields knowing the impedance of the line, its lenght etc.
Thank you for your answers guys. Let me delve a little bit deeper into the problem. Let's say I have a cylinder like the one in the figure (see attachment). Beginning with the expressions for internal field distribution, I can use boundary conditions to find some constants and simplify the expressions. After that, one assumes an incident electric and magnetic field in series expansion at the port and use that to find an expression for Y (finding a Generalized Admittance Mattrix). With this, and using information from the structure, I can obtain the S parameters.
Now, I want to find the 3D field distribtution in the resonator for a given mode, by using Y (or S) and the information I have from the structure, i.e. dimensions and properties, but I am not sure about the process I should be following.
Adam, I would appreciate it if you could provide me a reference about the calculation of the fields you mention (perhaps I may find something there that can shed some light in the matter).
Thanks again for your comments...
When you calculate S parameters for a set of frequencies you have to solve deterministic problem at each frequency in which coeffcients of series expansion at inputs and outputs are in fact amplitudes of the single mode you excite the structure. S parameters are calculated for a single mode at input and output operation. To properly analyze the problem you need complete series of modes at in/out windows and inside of resonator. Inside the resonator you have coeffcients of series expansion approximating the electromagnetic field of corresponding resonant modes (at one of resonant frequencies) or some field ususally decaying filed at frequencies between modes. When you use these coeffcients you can create the 3D picture of the internal field distribution.
- Badges
- Science topic
- Similar topics
- Physical Sciences
- Electromagnetics
- Electromagnetic Fields