2 papers
math-ph2023
Discrete and embedded trapped modes in a plane quantum waveguide with a small obstacle: exact solutions
P. Zhevandrov, A. Merzon, M. I. Romero Rodríguez +1
Exact solutions describing trapped modes in a plane quantum waveguide with a small rigid obstacle are constructed in the form of convergent series in powers of the small parameter…
math-ph2017
Rayleigh-Bloch waves trapped by a periodic perturbation: exact solutions
A. Merzon, P. Zhevandrov, M. I. Romero Rodríguez +1
Exact solutions describing the Rayleigh-Bloch waves for the two-dimensional Helmholtz equation are constructed in the case when the refractive index is a sum of a constant and a sm…