Interdimensional optical isospectrality inspired by graph networks

Sunkyu Yu, Xianji Piao, Jiho Hong, Namkyoo Park

Research output: Contribution to journalArticlepeer-review

22 Scopus citations


A network picture has been applied to various physical and biological systems to understand their governing mechanisms intuitively. Utilizing discretization schemes, both electrical and optical materials can also be interpreted as abstract “graph” networks composed of couplings (edges) between local elements (vertices) that define the correlation between material structures and wave flows. Nonetheless, the fertile structural degrees of freedom in graph theory have not been fully exploited in physics owing to the suppressed long-range interaction between far-off elements. Here, by exploiting the mathematical similarity between Hamiltonians in different dimensions, we propose the design of reduced-dimensional optical structures that perfectly preserve the level statistics of disordered graph networks with significant long-range coupling. We show that the disorder-induced removal of the level degeneracy in high-degree networks allows their isospectral projection to one-dimensional structures without any disconnection. This interdimensional isospectrality between highand low-degree graph-like structures enables the ultimate simplification of broadband multilevel devices, from three- to one-dimensional structures.

Original languageEnglish
Pages (from-to)836-839
Number of pages4
Issue number8
StatePublished - 20 Aug 2016


Dive into the research topics of 'Interdimensional optical isospectrality inspired by graph networks'. Together they form a unique fingerprint.

Cite this