Does anyone understand how Floquet-Bloch boundary conditions work in this context?
Does anyone understand how Floquet-Bloch boundary conditions work in this context?
(OP)
Does anyone understand how Floquet-Bloch boundary conditions work in this context? Seems like Bloch-Floquet boundary conditions can do anything? Would it be possible to explain in layman's terms how it works? I have spent hours trying to read up on it but still cant figure it out.




RE: Does anyone understand how Floquet-Bloch boundary conditions work in this context?
RE: Does anyone understand how Floquet-Bloch boundary conditions work in this context?
RE: Does anyone understand how Floquet-Bloch boundary conditions work in this context?
Felix Bloch, Z. Physik 52,1955 commonly known as Bloch's theorem, though previously known as Floquet's Theorm.
or
E.I Whittaker and G.N. Watson,"Modern analysis" Cambridge Univ. Press (1948), p.412.
RE: Does anyone understand how Floquet-Bloch boundary conditions work in this context?
Actually this is probably a great place for it, as I've asked questions about elastic wave problems here before and have gotten some good answers. Re-posting what I did on the Structural Board to this question (so maybe we can build on it; I found similar info to what you found):
Going back through some (elastic) wave propagation texts of mine, this appears to be a necessary boundary condition when using the wave types necessary in periodic structures (i.e. structures composed of repetitive similar units) or composite type structures.
[......]
By the way, I came across this today:
https://www.iap.uni-jena.de/iapmedia/de/Lecture/Co...
It goes into Floquet-Bloch boundary conditions. (And in fairly understandable terms.)
One thing about elastic wave propagation analysis (using spectral FEA software; and to put this as close to "layman's terms" as possible): there are all sorts of elements/boundary conditions to get the appropriate response. (I.e. allow certain waves and frequencies to pass.....and in other cases: get rid of them.) The so-called "throw-off" element is another example. It is a element used when modeling a very long structure where the reflection of the elastic waves would not give a significant response. (Ergo you want to "throw-off" (or out) the elastic wave once it reaches a point.....rather than modeling something too big for your purposes.)