Maxwell Equations Absorbent Boundary Conditions

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SUMMARY

The discussion focuses on the implementation of absorptive boundary conditions in simulations of electromagnetic fields, specifically referencing condition 1.2c). It is established that matching impedance at the boundary eliminates reflections, allowing for accurate simulation of open boundaries within a bounded computational domain. The participants emphasize the importance of understanding the physical interpretation and practical implementation of these conditions to enhance simulation fidelity.

PREREQUISITES
  • Understanding of Maxwell's Equations
  • Familiarity with boundary conditions in numerical simulations
  • Knowledge of electromagnetic field theory
  • Experience with computational domain setup in simulations
NEXT STEPS
  • Research the mathematical formulation of absorptive boundary conditions in electromagnetic simulations
  • Explore the implications of impedance matching in computational electromagnetics
  • Study the physical interpretation of condition 1.2c) in the context of boundary conditions
  • Examine case studies or papers that implement absorptive boundary conditions in real-world simulations
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Researchers, engineers, and students in the fields of computational electromagnetics, numerical analysis, and physics who are looking to enhance their understanding of boundary conditions in simulations.

gltau99
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TL;DR
Looking for explanations on how absorptive boundary conditions in Maxwell's equations simulate open boundaries in electromagnetic simulations, preventing artificial reflections.
Hi everyone,

I'm trying to understand the purpose and functionality of absorptive boundary conditions used in simulations of electromagnetic fields. Specifically, how do this conditions 1.2c):

1725869183308.png


with

1725869214080.png

(and ν the unit outward normal on the boundary Γ; Pτ , the projection of the trace operator)

simulate an open boundary and prevent reflections within a bounded computational domain? Any insights into their physical interpretation or practical implementation would be very helpful.


References:
https://www.semanticscholar.org/pap...ntos/64177e2129da814049dba96c0478821aa8bb8224

https://epubs.siam.org/doi/pdf/10.1137/S0036139995289234
Thank you!
 
Last edited:
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Baluncore said:
Welcome to PF.

If the impedance is matched, there will be no reflection.
Space cloth. https://en.wikipedia.org/wiki/Space_cloth
Thank you for the answer. But how does condition 1.2c) enforce that ?
 
Last edited:
gltau99 said:
and how does condition 1.2c) enforce that ?
Can you add a link to your reference please? Thanks.
 

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