What is an evanescent wave? What are its applications?

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Discussion Overview

The discussion centers around the concept of evanescent waves, their occurrence related to Maxwell Boundary Conditions, and their applications. Participants express interest in understanding the mathematical derivation of evanescent fields from Maxwell's equations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant notes that evanescent waves are related to Maxwell Boundary Conditions but seeks clarification on this connection.
  • Another participant mentions the challenges of deriving evanescent fields from Maxwell Equations, indicating that it is a complex task, especially in the context of hypothetical fiber networks.
  • A third participant provides a link to a review about fields in wave guides, suggesting it may contain relevant information for those interested in the topic.

Areas of Agreement / Disagreement

Participants express a shared interest in the topic and the challenges associated with understanding evanescent waves, but no consensus or resolution is reached regarding the derivation or applications of these waves.

Contextual Notes

The discussion highlights the complexity of deriving evanescent fields from Maxwell's equations and the potential difficulties in understanding near field effects. There are references to external resources that may provide additional context.

ksmith1281
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I am reading some papers that mention evanescent waves. From what I can find, evanescent waves occur because of the Maxwell Boundary Conditions but I don't really see how. Could some please comment on this or just on the general topic. Thanks!
 
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ksmith1281 said:
I am reading some papers that mention evanescent waves. From what I can find, evanescent waves occur because of the Maxwell Boundary Conditions but I don't really see how. Could some please comment on this or just on the general topic. Thanks!

That's a nice question. Evanescent fields are near field effects which are not easy to deal with. We had struggled to derive evanescent fields from Maxwell Equations to solve a problem in an hypothetical fiber network a while ago and I assure you it's not an easy task to mathematically immerse into evanescent phenomena. For general information and some of the applications ; http://www.faculty.iu-bremen.de/dknipp/c320352/Projects/Presentations%202005/CL%20Evanescent%20Fields.pdf

I would like to hear if someone comes up with the proof that derives evanescent fields from Maxwell equations step-by-step.
 
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Thanks!
 
For those who understand German, here I've written a quite complete review about fields in wave guides (in vacuo):

http://theory.gsi.de/~vanhees/faq/causality/node8.html
 

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