Engineering wave localization in a fractal waveguide network

Biplab Pal, Pinaki Patra, Jyoti Prasad Saha, Arunava Chakrabarti

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We present an exact analytical method of engineering the localization of classical waves in a fractal waveguide network. It is shown that a countable infinity of localized eigenmodes 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 forms 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 nontrivial, if not impossible for any random or deterministically disordered waveguide network.

Original languageEnglish
Article number023814
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number2
StatePublished - 8 Feb 2013
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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