Engineering light localization in a fractal waveguide network
Abstract
We present an exact analytical method of engineering the localization of electromagnetic waves in a fractal waveguide network. It is shown that, a countable infinity of localized electromagnetic modes with a multitude of localization lengths can exist in a Vicsek fractal geometry built with diamond shaped monomode waveguides as the 'unit cells'. The family of localized modes form clusters of increasing size. The length scale at which the onset of localization for each mode takes place can be engineered at will, following a well defined prescription developed within the framework of a real space renormalization group. The scheme leads to an exact evaluation of the wave vector for every such localized state, a task that is non-trivial, if not impossible for any random or deterministically disordered waveguide network.
Keywords
Cite
@article{arxiv.1210.1659,
title = {Engineering light localization in a fractal waveguide network},
author = {Biplab Pal and Pinaki Patra and Jyoti Prasad Saha and Arunava Chakrabarti},
journal= {arXiv preprint arXiv:1210.1659},
year = {2013}
}
Comments
8 pages, 4 figures. arXiv admin note: text overlap with arXiv:1204.4986