I'm have been reading about light propagation in periodic dielectrics. And in one part they introduce the light line. They mention that whenever the parallel and vertical components of the wave vector are bigger than the ones from the dispersion relation then there are not guided mode. In the contrary case they are guided modes.

Why those statements are true?

I attach a photo from a presentation where they made the same remarks. enter image description here

  • $\begingroup$ Sentence fragments from random slides is not a way to communicate successfully. If you can find a textbook which covers this you'll most likely find a proper written discussion of these equations and what the implications are for different waveguides. $\endgroup$ – Carl Witthoft Nov 4 '20 at 14:00
  • $\begingroup$ I haven't been able to find a book properly explaining this. That is the reason I am asking for help or a reference here. $\endgroup$ – Who Dec 13 '20 at 16:32

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