Concept

Zernike polynomials

Related publications (13)

ON WAVEFRONT ABERRATIONS IN ASYMMETRIC AND MULTIPLE APERTURE OPTICAL SYSTEMS

The present work deals with monochromatic wavefront aberrations in optical systems without symmetries. The treatment begins with a class of systems characterized by misaligned spherical surfaces whose behavior is analyzed using the wavefront aberration exp ...

EPFL2021

Scalar analytical expressions for the field dependence of Zernike polynomials in asymmetric optical systems with circular symmetric surfaces

Toralf Scharf, Alessandro Grosso

In this paper we derive scalar analytical expressions describing the full field dependence of Zernike polynomials in optical systems without symmetries. We consider the general case of optical systems constituted by arbitrarily tilted and decentered circul ...

2020

A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020

Aberrations analysis of a Focused Plenoptic Camera

Toralf Scharf, Alessandro Grosso

A Focused Plenoptic Camera in Galilean configuration is studied and its aberrations behavior is interpreted with the Nodal Aberration Theory (NAT). Sequential ray tracing is applied to individual optical channels constituted by the camera objective and ind ...

2018

Direct unwrapped phase estimation in phase shifting interferometry using Levenberg-Marquardt algorithm

Pramod Rastogi, Rishikesh Dilip Kulkarni

An algorithm for the direct unwrapped phase estimation from the linearly phase shifted interferograms is presented. The temporal fringe intensity along each pixel is represented as a function of fringe amplitude, phase step and the searched phase. These pa ...

Iop Publishing Ltd2017

A Savitzky-Golay Filtering Perspective of Dynamic Feature Computation

Mathew Magimai Doss, Chandra Sekhar Seelamantula

We address the classical problem of delta feature computation, and interpret the operation involved in terms of Savitzky-Golay (SG) filtering. Features such as the mel-frequency cepstral coefficients (MFCCs), obtained based on short-time spectra of the spe ...

2013

Longitudinal-differential interferometry: direct imaging of axial superluminal phase propagation

Hans Peter Herzig, Toralf Scharf, Myun Sik Kim

We introduce and demonstrate a new interferometric method called longitudinal-differential (LD) interferometry, which measures the spatially resolved phase difference of the scattered field by an object relative to the illumination. This method is combined ...

Optical Society of America2012

Plasma fluctuation studies in the TCV tokamak

Alessandro Marinoni

One of the most important issues for magnetic-confinement fusion research is the so-called anomalous transport across magnetic field lines, i.e. transport that is in excess of that caused by collisional processes. The need to reduce anomalous transport in ...

EPFL2009

Field confinement with aberration correction for solid immersion lens based fluorescence correlation spectroscopy

Theo Lasser, Rainer Leitgeb, Ramachandra Rao, Jelena Mitic

The solid immersion lens (SIL) as a tool for increasing the field confinement as well as providing optimal performance by aberration compensation in a confocal fluorescence correlation spectroscopy (FCS) system is illustrated here. Using Zernike polynomial ...

2007

Numerical parametric lens for shifting, magnification and complete aberration compensation in digital holographic microscopy

Christian Depeursinge, Tristan Colomb, Etienne Cuche, Frédéric Montfort, Nicolas Aspert, Pierre Marquet, Jonas Kühn, Florian Charrière, Stéphane Bourquin, Mihaela Marian

The concept of numerical parametric lenses (NPL) is introduced to achieve wavefront reconstruction in digital holography. It is shown that operations usually performed by optical components and described in ray geometrical optics, such as image shifting, m ...

2006

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A stability theory beyond the co-rotational setting for critical wave maps blow up

Joachim Krieger, Shuang Miao

We exhibit non-equivariant perturbations of the blowup solutions constructed in [18] for energy critical wave maps into

\mathbb{S}^2

. Our admissible class of perturbations is an open set in some sufficiently smooth topology and vanishes near the light co ...

2020