Multiple scattering theory in one dimensional space and time dependent disorder: Average field

Abstract

We theoretically study the propagation of light in one-dimensional space- and time-dependent disorder. The disorder is described by a fluctuating permittivity $\epsilon (x,t)$ exhibiting short-range correlations in space and time, without cross correlation between them. Depending on the illumination conditions, we show that the intensity of the average field decays exponentially in space or in time, with characteristic length or time defining the scattering mean-free path ${\ell }_s$ and the scattering mean-free time ${\tau }_s$. In the weak scattering regime, we provide explicit expressions for ${\ell }_s$ and ${\tau }_s$, that are checked against rigorous numerical simulations.

References in corpus (9)

• Topology of photonic time-crystals
• Revisiting time reversal and holography with spacetime transformations
• Double-slit time diffraction at optical frequencies
• Roadmap on Wavefront Shaping and deep imaging in complex media
• Inverse Prism based on Temporal Discontinuity and Spatial Dispersion
• Light in correlated disordered media
• Universal statistics of waves in a random time-varying medium
• Unidirectional scattering with spatial homogeneity using photonic time disorder
• Scattering mean-free path in continuous complex media: beyond the Helmholtz equation

Cited by in corpus (2)

• Causality and instability in wave propagation in random time-varying media
• Evolving disorder and chaos enhances the wave speed of elastic waves