%AMenyuk, Curtis%AWang, Shaokang%D2022%I
%K
%MOSTI ID: 10326041
%PMedium: X
%TDynamical Methods for Studying Noise in Frequency Comb Sources
%XFrequency combs have revolutionized the measurement of time and frequency since their
invention in 2000, and have a wide array of applications to applications that range from basic
science applications, to a wide array of sensing applications, to commercial applications, to
military applications, and the list goes on. Noise poses a fundamental limit to these systems,
and calculating its impact play a critical role in system design. Frequency combs are created
by modelocked laser systems that emit a periodic train of short pulses. Laser systems are
complex nonlinear systems and the usual method for determining the impact of noise is to
carry out computationally-expensive Monte Carlo methods. That limits the parameter range
over which it is possible to study the noise impact. We have developed a new approach
based on dynamical systems methods. In our approach, we determine a stationary state
of the laser system as parameters vary solving a root-finding problem [Wang1]. Starting
from a stationary state, we determine all the eigenvalues and eigenvalues of the linearized
system. The variance of the amplitudes of the eigenvalues obey either random walk of
Langevin equations [Menyuk]. Starting from that point, we can determine the power spectral
density of the key laser parameters (amplitude jitter, timing jitter, frequency jitter, phase
jitter) [Wang2]. We applied this approach to SESAM lasers and found that we were able to
reproduce a computation that took 20 minutes on a cluster with 256 cores with a computation
that took less than 4 minutes on a desktop computer.
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