Bloch modes and normal waveguide modes- help to clear up

[jxwlhs]

Hi all, I'm a little confused about Bloch modes vs. waveguide modes of a single waveguide and was wanting some pointers. I read that Bloch modes are results of the wavefunction of a particle (usually, an electron) placed in a periodic potential. In the case where we have an array of cylinder rods(nano pillars), if we consider the Bloch modes/calculate Bloch waves, will we have accounted for the propagation of modes of in a single nanopillar(approximate as fiber optic) as well?

In an array of cylindrical waveguides, for a comprehensive analysis of the electromagnetic field, do we need to calculate both Bloch modes from the periodic array, and also the modes in a single waveguide approximated as a fiber?

 

[azntoon]

Or is the calculation of Bloch modes from the array sufficient?The answer to your question is that it depends. If you are just looking to analyze the properties of the waveguide array, then calculating the Bloch modes from the array will be sufficient. However, if you need to accurately model and analyze the behavior of light propagating through a single waveguide, then you will need to calculate the modes of the single waveguide as well. The Bloch modes of the array will give you information about the overall behavior of the waveguide array, but the modes of the single waveguide will allow you to understand the details of the behavior of light in the individual waveguides.