This book introduces recent advances in the deterministic design of
photonic structures, which overcome the current limitation in
conventional disordered materials. It develops new concepts for
disordered photonics inspired by notions in quantum mechanics,
solid-state physics, mathematics and network theory, such as
isospectrality, supersymmetry, graph network, small-world, de
Broglie-Bohm theory, and parity-time symmetry.
The multidisciplinary approach based on the core concepts of
isospectrality (Chapter 2) and metadisorder (Chapter 3) offers a new
perspective on the design methodology in photonics and in general
disordered structures toward top-down designs of future photonic
applications: perfect bandgap with strong modal localization, switching
of random waves for binary and fuzzy logics, photonic analogy of graph
networks, interdimensional signal transport, robust wave functions in
disordered structures, and a novel method of energy storage and phase
trapping based on Bohmian photonics. This book will provide new design
criteria for physicists and engineers in photonics, and inspirations for
researchers in other fields.