Article Dans Une Revue Optica Année : 2016

General formalism for Fourier-based wave front sensing

Résumé

We introduce in this paper a general formalism for Fourier-based wave front sensing. To do so, we consider the filtering mask as a free parameter. Such an approach allows us to unify sensors like the pyramid wave front sensor (PWFS) and the Zernike wave front sensor (ZWFS). In particular, we take the opportunity to generalize these two sensors in terms of sensors’ class, where optical quantities such as the apex angle for the PWFS or the depth of the Zernike mask for the ZWFS become free parameters. In order to compare all the generated sensors of these two classes thanks to common performance criteria, we first define a general phase-linear quantity that we call meta-intensity. Analytical developments allow us to then split the perfectly phase-linear behavior of a WFS from the nonlinear contributions, making robust and analytic definitions of the sensitivity and the linearity range possible. Moreover, we define a new quantity called the SD factor, which characterizes the trade-off between these two antagonistic quantities. These developments are generalized for a modulation device and polychromatic light. A nonexhaustive study is finally conducted on the two classes, allowing us to retrieve the usual results and also make explicit the influence of the optical parameters introduced above.

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hal-01461804 , version 1 (07-11-2025)

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Olivier Fauvarque, Benoit Neichel, Thierry Fusco, Jean-François Sauvage, Orion Girault. General formalism for Fourier-based wave front sensing. Optica, 2016, 3 (12), p. 1440-1452. ⟨10.1364/OPTICA.3.001440⟩. ⟨hal-01461804⟩
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