Random resonators and prelocalized modes in disordered dielectric films

Area of Science:

• Photonics
• Condensed Matter Physics
• Optical Materials

Background:

• Disorder in optical films can induce resonant phenomena.
• Understanding these resonators is crucial for controlling light propagation.
• High-quality factor resonators are particularly significant.

Purpose of the Study:

• To calculate the areal density of disorder-induced resonators.
• To investigate the influence of disorder correlation radius on resonator formation.
• To determine the parameters of probable resonators based on quality factor (Q) and light transport properties (kl).

Main Methods:

• Theoretical calculation of resonator areal density.
• Analysis of resonator likelihood in diffusive light propagation (kl>1).
• Dependence analysis on the correlation radius of refractive index fluctuations.

Main Results:

• The likelihood of finding random resonators dramatically increases with the correlation radius of disorder.
• This effect is pronounced when light propagation is diffusive (kl>1).
• Parameters of the most probable resonators were determined as functions of Q and kl.

Conclusions:

• Disorder-induced resonators can be significantly enhanced by increasing the correlation radius of refractive index fluctuations.
• This finding has implications for designing optical films with tailored resonant properties.
• The study provides a framework for predicting resonator characteristics in disordered media.