| Issue |
ITM Web Conf.
Volume 9, 2017
The 2016 International Conference Applied Mathematics, Computational Science and Systems Engineering
|
|
|---|---|---|
| Article Number | 01009 | |
| Number of page(s) | 4 | |
| Section | Applied Mathematics | |
| DOI | https://doi.org/10.1051/itmconf/20170901009 | |
| Published online | 09 January 2017 | |
Bound state for dielectric waveguide with high contrast inset in the core
ITMO University, Department of Higher Mathematics, 197101 St. Petersburg, Russia
* Corresponding author: faleeva.masha@gmail.com
We consider cylindrical dielectric waveguide with a core having a high contrast inset. It is assumed, that for certain conditions, for a waveguide with an insertion in the core there is a bound state appears below the bottom of the continuous spectrum. In this paper we pose the problem of proving the existence of such state and obtain an upper estimate of the distance from the eigenvalue to the threshold.
© The Authors, published by EDP Sciences, 2017
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