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

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