Negative Diffraction: Poynting's Vector & Maxwell's Equations

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SUMMARY

The discussion focuses on negative diffraction in electromagnetic waves, specifically relating to Poynting's vector and Maxwell's equations. Negative diffraction refers to the phenomenon where a beam of light focuses rather than spreads out, influenced by factors such as thermal lensing, nonlinear self-focusing, and curved surfaces. Meta-materials, including photonic crystals, are identified as potential sources exhibiting negative diffraction. The form of Maxwell's equations remains constant, with variations arising only from boundary conditions.

PREREQUISITES
  • Understanding of Poynting's vector in electromagnetic theory
  • Familiarity with Maxwell's equations and their applications
  • Knowledge of negative diffraction and its implications in optics
  • Concepts of lensing effects, including thermal and nonlinear self-focusing
NEXT STEPS
  • Research the properties and applications of photonic crystals in negative diffraction
  • Study the impact of thermal lensing on wave propagation
  • Explore nonlinear self-focusing in electromagnetic waves
  • Investigate boundary conditions affecting solutions to Maxwell's equations
USEFUL FOR

Researchers, physicists, and engineers interested in optics, particularly those studying electromagnetic wave behavior and applications of meta-materials.

soikez
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Hello, this is the first time I'm sending a message and i don't know so good the procedure. Please forgive me for my english but I'm from greece, thus i am not experienced in speaking english, but i'll try to be as plain as i can.

I'd like to ask something about electromagnetic waves. I'm looking some information about negative diffraction. I've searched the web for any articles or relative papers, but i couldn't find anything.
Have you got any idea where i can search or if you can help me by sending the form of Poynting's vector and the relative between wave propagation and energy fluency on this case?Or the form of Maxwell's equation in this case?

Thank you for your patience.
 
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Since negative diffraction is simply a beam of light focusing instead of spreading out (by my simplistic understanding), the relationship between propagation and fluence will depend on the amount of lensing present. There are many sources for this lensing - Thermal lensing, nonlinear self-focusing, the presence of curved surfaces. Meta-materials such as photonic crystals may also exhibit negative diffraction. To obtain an accurate value of the amount of lensing ocuring, you need to take into account all these 'sources'.

I'm confused as to what you mean by the 'form' of Maxwell's equations, as far as I know the form of Maxwell's equations does not vary, just the solutions depending on the boundary conditions.

Claude.
 
I think there is something about it. Dr. Ozbay won the descartes award because of this. here is a link:
http://www.nanotr.bilkent.edu.tr/
i think you can get some information about negative diffraction in the research link.

Cahit
 

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