Maxwell Equations Absorbent Boundary Conditions

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Discussion Overview

The discussion centers on the purpose and functionality of absorptive boundary conditions in simulations of electromagnetic fields, particularly focusing on how these conditions simulate open boundaries and prevent reflections in a bounded computational domain. The inquiry includes both theoretical interpretations and practical implementations of these conditions.

Discussion Character

  • Exploratory
  • Technical explanation

Main Points Raised

  • One participant seeks to understand how absorptive boundary conditions, specifically condition 1.2c), function to simulate open boundaries and prevent reflections.
  • Another participant suggests that matching impedance will result in no reflections, referencing the concept of "space cloth" as a related idea.
  • There are requests for clarification on how condition 1.2c) enforces the absence of reflections.
  • Participants share references to academic papers that may provide further insights into the topic.

Areas of Agreement / Disagreement

The discussion does not appear to reach a consensus, as participants express differing levels of understanding and seek clarification on specific aspects of absorptive boundary conditions.

Contextual Notes

Participants have not fully resolved the implications of condition 1.2c) or how it relates to the prevention of reflections, indicating potential gaps in understanding or assumptions that have not been explicitly stated.

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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