Affiliation:
1. California Institute of Technology
2. The University of Arizona
3. The University of Sydney
Abstract
The photonic lantern (PL) is a tapered waveguide that can efficiently
couple light into multiple single-mode optical fibers. Such devices
are currently being considered for a number of tasks, including the
coupling of telescopes and high-resolution, fiber-fed spectrometers,
coherent detection, nulling interferometry, and vortex-fiber nulling.
In conjunction with these use cases, PLs can simultaneously perform
low-order focal-plane wavefront sensing. In this work, we provide a
mathematical framework for the analysis of a PL wavefront sensor
(PLWFS), deriving linear and higher-order reconstruction models as
well as metrics through which sensing performance—in
both the linear and nonlinear regimes—can be quantified.
This framework can be extended to account for additional optics such
as beam-shaping optics and vortex masks, and can be generalized for
other wavefront sensing architectures. Finally, we provide initial
numerical verification of our mathematical models by simulating a
six-port PLWFS. In a forthcoming companion paper (Lin and Fitzgerald),
we provide a more comprehensive numerical characterization of few-port
PLWFSs, and consider how the sensing properties of these devices can
be controlled and optimized.
Funder
National Science Foundation
Subject
Atomic and Molecular Physics, and Optics,Statistical and Nonlinear Physics
Cited by
13 articles.
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