99 citations · 216 across the 9 of their papers we have counts for
9 papers
A vector Helmholtz electromagnetic wave propagator for inhomogeneous media
Laurence Keefe, Austin McDaniel, Max Cubillos +2
The vector electric-field Helmholtz equation, containing cross-polarization terms, is factored to produce both pseudo-differential and exponential operator forms of a three-dimensi…
Dynamic Mode Decomposition for Aero-Optic Wavefront Characterization
Shervin Sahba, Diya Sashidhar, Christopher C. Wilcox +3
Aero-optical beam control relies on the development of low-latency forecasting techniques to quickly predict wavefronts aberrated by the Turbulent Boundary Layer (TBL) around an ai…
Coupling of paraxial and white-noise approximations of the Helmholtz equation in randomly layered media
Austin McDaniel, Alex Mahalov
We study the simultaneous paraxial and white-noise limit of the Helmholtz equation in randomly layered media where the refractive index fluctuations are in the direction of propaga…
Stochastic differential equation model for spontaneous emission and carrier noise in semiconductor lasers
Austin McDaniel, Alex Mahalov
We present a new stochastic differential equation model for the spontaneous emission noise and carrier noise in semiconductor lasers. The correlations between these two types of no…
Engineering sensorial delay to control phototaxis and emergent collective behaviors
Mite Mijalkov, Austin McDaniel, Jan Wehr +1
Collective motions emerging from the interaction of autonomous mobile individuals play a key role in many phenomena, from the growth of bacterial colonies to the coordination of ro…
A small delay and correlation time limit of stochastic differential delay equations with state-dependent colored noise
Scott Hottovy, Austin McDaniel, Jan Wehr
We consider a general stochastic differential delay equation (SDDE) with state-dependent colored noises and derive its limit as the time delays and the correlation times of the noi…
An SDE approximation for stochastic differential delay equations with state-dependent colored noise
Austin McDaniel, Ozer Duman, Giovanni Volpe +1
We consider a general multidimensional stochastic differential delay equation (SDDE) with state-dependent colored noises. We approximate it by a stochastic differential equation (S…
The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
Scott Hottovy, Austin McDaniel, Giovanni Volpe +1
We study a class of systems of stochastic differential equations describing diffusive phenomena. The Smoluchowski-Kramers approximation is used to describe their dynamics in the sm…
Dynamical Effects of Multiplicative Feedback on a Noisy System
Giuseppe Pesce, Austin McDaniel, Scott Hottovy +2
Intrinsically noisy mechanisms drive most physical, biological and economic phenomena, from stock pricing to phenotypic variability. Frequently, the system's state influences the d…