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Orthogonal basis with a conicoid first mode for shape specification of optical surfaces

Autor: Ferreira, Chelo, Lopez, Jose L., Navarro, Rafael, Sinusia, Ester Perez

A rigorous and powerful theoretical framework is proposed to obtain systems of orthogonal functions (or shape modes) to represent optical surfaces. The method is general so it can be applied to different initial shapes and different polynomials. Here

Externí odkaz: http://arxiv.org/abs/1606.06327

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Orthogonal systems of Zernike type in polygons and polygonal facets

Autor: Ferreira, Chelo, Lopez, Jose L., Navarro, Rafael, Sinusia, Ester Perez

Zernike polynomials are commonly used to represent the wavefront phase on circular optical apertures, since they form a complete and orthonormal basis on the unit disk. In [Diaz et all, 2014] we introduced a new Zernike basis for elliptic and annular

Externí odkaz: http://arxiv.org/abs/1506.07396

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Olver's asymptotic method: a special case

Autor: Ferreira, Chelo, Lopez, Jose L., Sinusia, Ester Perez

We consider the asymptotic method designed by F. Olver [Olver, 1974] for linear differential equations of the second order containing a large (asymptotic) parameter $\Lambda$: $x^my"-\Lambda^2y=g(x)y$, with $m\in\mathbb{Z}$ and $g$ continuous. Olver

Externí odkaz: http://arxiv.org/abs/1406.1613

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Generalization of Zernike polynomials for regular portions of circles and ellipses

Autor: Navarro, Rafael, López, José L., Díaz, José A., Sinusía, Ester Pérez

Zernike polynomials are commonly used to represent the wavefront phase on circular optical apertures, since they form a complete and orthonormal basis on the unit circle. Here, we present a generalization of this Zernike basis for a variety of import

Externí odkaz: http://arxiv.org/abs/1405.3434

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