Periodic Boundary Conditions Unit Cell vs Transmission Line Model

Click For Summary
SUMMARY

The discussion centers on the relationship between a unit cell with periodic boundary conditions and a transmission line model in the context of electromagnetic simulation. The user explored this relationship using HFSS, specifically employing the Finite Element Method (FEM) for the unit cell and Circuit simulation for the transmission line. The conclusion drawn is that there is no analytical relationship between the two models, particularly when analyzing a stack of 161 unit cells with varying dielectric constants, including negative values. The user seeks further insights and visual evidence to support this conclusion.

PREREQUISITES
  • Understanding of periodic boundary conditions in electromagnetic simulations
  • Familiarity with HFSS (High-Frequency Structure Simulator) for electromagnetic analysis
  • Knowledge of transmission line theory, including characteristic impedance and propagation constant
  • Basic concepts of dielectric materials and their properties
NEXT STEPS
  • Investigate the limitations of using HFSS for modeling complex dielectric materials
  • Explore alternative simulation tools for analyzing transmission lines and unit cells
  • Learn about advanced modeling techniques for negative dielectric constants
  • Research the implications of periodic boundary conditions on electromagnetic wave propagation
USEFUL FOR

Electromagnetic engineers, simulation specialists, and researchers working on dielectric materials and transmission line modeling will benefit from this discussion.

katto01
Messages
2
Reaction score
0
The problem is:
1. Assume ONE BOX W*W*H1 filled with a dielectric material with dielectric constant eprs. The vertical walls are assigned periodic boundary conditions and the other two faces are Floquet Ports (One TE mode and one TM mode).
2. Assume a transmission line that is L1 long with a characteristic impedance of Z1, and a propagation constant beta.

Q: Is there an analytical relationship between the two? I.e. can one represent the unit cell by a transmission line?

I tried to check this in HFSS, (FEM for the box and Circuit for the TL) and it looks like the answer is NO.
I hope I'm wrong because I need to do the analysis of a stack of 161 unit cells each having crazy dielectric constant (negative, less than 1 etc.). It's my modeling of a plasma sheath for which I need to find the transmission loss.
 
Engineering news on Phys.org
Can you post some screenshots of your work so far, and say why you think the answer is "No"? Thanks.
 

Similar threads

Current of AC transmission lines and electricity in general
  • · Replies 69 ·
3
Replies
69
Views
9K
Graduate Define boundary conditions of a polygon in a unit square cell
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Dirichlet and Neumann boundary conditions in cylindrical waveguides
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Periodic Boundary Conditions proof
  • · Replies 8 ·
Replies
8
Views
3K
The Effect of Diatomic Unit Cell on Polyacetylene Band Structure
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Effect of sample size when using periodic boundary conditions in 2D Ising model
  • · Replies 1 ·
Replies
1
Views
4K
Graduate What is the method for calculating the dampening of thermal oscillations?
  • · Replies 5 ·
Replies
5
Views
2K
Graduate Free Electron Model: Why periodic boundary conditions and what is L ?
  • · Replies 4 ·
Replies
4
Views
8K
  • Poll Poll
Microwave Engineering by David Pozar
  • · Replies 3 ·
Replies
3
Views
8K
Studying Preparing for Plasma Physics (Jackson)
  • · Replies 4 ·
Replies
4
Views
3K