Open AccessChaotic markers in dynamic diffraction
Author(s) -
Jenny Magnes,
Harold M. Hastings,
Miranda Hulsey-Vincent,
Cheris Congo,
Kathleen M. RaleySusman,
Anshul Singhvi,
Tyler Hatch,
Erik Szwed
Publication year - 2020
Publication title -
applied optics
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 0.668
H-Index - 197
eISSN - 2155-3165
pISSN - 1559-128X
DOI - 10.1364/ao.397618
Subject(s) - caenorhabditis elegans , diffraction , lyapunov exponent , algorithm , physics , computer science , artificial intelligence , chaotic , optics , chemistry , biochemistry , gene
In a dynamic far-field diffraction experiment, we calculate the largest Lyapunov exponent of a time series obtained from the optical fluctuations in a dynamic diffraction pattern. The time series is used to characterize the locomotory predictability of an oversampled microscopic species. We use a live nematode, Caenorhabditis elegans, as a model organism to demonstrate our method. The time series is derived from the intensity at one point in the diffraction pattern. This single time series displays chaotic markers in the locomotion of the Caenorhabditis elegans by reconstructing the multidimensional phase space. The average largest Lyapunov exponent (base e) associated with the dynamic diffraction of 10 adult wildtype (N2) Caenorhabditis elegans is 1.27±0.03 s -1 .