"Waves and integral continued fractions"
||Wed, September 6, 2017|
||Research I Seminar Room|
Abstract: We consider a wave propagation in uniform or periodic structures with various defects. We discuss the following questions:
As an application, we show that the probability of existence of local waves in the uniform lattice with one simple wave guide and one embedded point defect is \(3/4-1/(2\pi)\).
- What are guided, local waves and their dispersion diagrams?
- How to rewrite finite-difference wave equations in terms of integral operators?
- How to solve these integral equations and find the spectra explicitly, by using integral continued fractions?