Zernike basis optimization for solar adaptive optics by using information theory.
Karhunen-Loève functions represent the best choice for modal wavefront reconstruction. They are usually built up as a linear combination of Zernike polynomials by using principal component analysis methods; thus they are ordered by covariance. Using Shannon information theory, we provide a best reordering procedure based on the concept of mutual information. This enhances reconstruction efficiency, allowing us to reduce the basis dimension while maintaining the same fitting error in wavefront reconstruction.
Stangalini
Marco
M
Dipartimento di Fisica, Università degli Studi di Roma Tor Vergata, Via della Ricerca Scientifica 1, 00133 Rome, Italy. marco.stangalini@roma2.infn.it
Del Moro
Dario
D
Berrilli
Francesco
F
von der Lühe
Oskar
O