Abstract
In this paper, we propose and numerically investigate a simple and practical
all-fiber design for implementing first-order and higher order all-optical
passive temporal integrators with optimized energetic efficiencies. The proposed
solution is based on a high-reflectivity fiber Bragg grating (FBG) providing
a reflection spectral response that approaches the frequency transfer function
of a time-limited $N{\rm
th}$-order optical integrator ($ N = 1, 2, 3 \ldots $). A closed-form
analytical expression has been derived for the frequency response to be targeted
for implementing an optical integrator of any given integration order operating
over a prescribed limited time window. The required grating profile can then
be designed using a layer-peeling FBG synthesis algorithm. Our simulations
show that for a sufficiently long FBG, a relatively smooth amplitude-only
apodization profile is required for any desired integration order even when
an FBG peak reflectivity $
> 99\%$ is targeted. The resulting FBG integrators can provide
at least a sixfold increase in energetic efficiency as compared with previously
proposed FBG designs while offering a similar or superior performance in terms
of processing accuracy. We estimate that ultrafast highly efficient arbitrary-order
all-optical temporal integrators capable of accurate operation over nanosecond
time windows could be implemented using readily feasible, centimeters-long
FBGs.
© 2009 IEEE
PDF Article
More Like This
Cited By
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Login to access Optica Member Subscription