Abstract

We employ renormalization ideas in order to describe the interplay between a frozen mode regime—a scattering feature associated with the presence of stationary inflection point (SIP) singularities—and disorder in photonic systems. Specifically, we demonstrate the existence of a $\beta$-function for a (rescaled) Wigner delay time $P_L$ at SIP frequencies which depends on $P_L$ itself and controls its variation with the system size $L$ and disorder strength.

© 2019 Optical Society of America

Scaling theory of absorption in the frozen mode regime

W. Tuxbury, L. J. Fernandez-Alcazar, I. Vitebskiy, and T. Kottos
Opt. Lett. 46(13) 3053-3056 (2021)

Tunable Anderson localization in disorder graphene sheet arrays

Yi Xu and Hai-dong Deng
Opt. Lett. 41(3) 567-570 (2016)

Light transport and localization in disordered aperiodic Mathieu lattices

Jadranka M. Vasiljević, Alessandro Zannotti, Dejan V. Timotijević, Cornelia Denz, and Dragana M. Jović Savić
Opt. Lett. 47(3) 702-705 (2022)

Mode discrimination in dissipatively coupled laser arrays

Jiajie Ding and Mohammad-Ali Miri
Opt. Lett. 44(20) 5021-5024 (2019)

Effect of disorder on slow light velocity in optical slow-wave structures

Shayan Mookherjea and Andrew Oh
Opt. Lett. 32(3) 289-291 (2007)