Concept

Plane (mathematics)

Related publications (61)

Simultaneous measurement of in-plane and out-of-plane displacement derivatives using dual-wavelength digital holographic interferometry

The paper introduces a method for simultaneously measuring the in-plane and out-of-plane displacement derivatives of a deformed object in digital holographic interferometry. In the proposed method, lasers of different wavelengths are used to simultaneously ...

Optical Society of America2011

Exciton recombination dynamics in a-plane (Al,Ga)N/GaN quantum wells probed by picosecond photo and cathodoluminescence

Nicolas Grandjean, Benoît Marie Joseph Deveaud, Jean-Daniel Ganière, Denis Martin, Laurent Balet, Pierre Michel Corfdir, Tiankai Zhu, Samuel Sonderegger

We present a combined low-temperature time-resolved cathodoluminescence and photoluminescence study of exciton recombination mechanisms in a 3.8 nm thick a-plane (Al,Ga)N/GaN quantum well (QW). We observe the luminescence from QW excitons and from excitons ...

American Institute of Physics2010

Convex polygons are cover-decomposable

We show that for any open convex polygon P, there is a constant k(P) such that any k(P)-fold covering of the plane with translates of P can be decomposed into two coverings. ...

2010

Theoretical Investigation of Iterative Phase Retrieval Algorithm for Quasi-Optical Millimeter-Wave RF Beams

Stefano Alberti, Jean-Philippe Hogge

In this paper, we present a detailed analysis of the iterative phase retrieval approach (TPRA) for determining the phase profile of the output microwave beam of a gyrotron from known intensity patterns emphasizing the field propagation techniques which are ...

IEEE2009

Convexly independent subsets of the Minkowski sum of planar point sets

János Pach, Friedrich Eisenbrand, Thomas Rothvoss

Let P and Q be finite sets of points in the plane. In this note we consider the largest cardinality of a subset of the Minkowski sum S ⊆ P⊕Q which consist of convex independent points. We show that, if P and Q contain at most n points, then |S| = O(n^(4/3) ...

American Mathematical Society2008

Complex data processing: fast wavelet analysis on the sphere

Yves Wiaux, Jason Douglas McEwen

In the general context of complex data processing, this paper reviews a recent practical approach to the continuous wavelet formalism on the sphere. This formalism notably yields a correspondence principle which relates wavelets on the plane and on the sph ...

2007

Process engineering and failure analysis of MEMS and MOEMS by Digital Holography Microscopy (DHM)

Mihai Adrian Ionescu, Christian Depeursinge, Etienne Cuche, Frédéric Montfort, Nicolas Aspert, Alexander Mehdaoui

Process engineering and failure analysis of MEMS and MOEMS require static and dynamical characterization of both their in-plane and out of plane response to an excitation. A remarkable characteristic of Digital Holography Microscopes (DHM) is the extremely ...

SPIE2007

Resolving the wave vector in negative refractive index media

Olivier Martin

We address the general issue of resolving the wave vector in complex electromagnetic media including negative refractive media. This requires us to make a physical choice of the sign of a square root imposed merely by conditions of causality. By considerin ...

Optical Society of America2005

A linear algorithm for integer programming in the plane

Friedrich Eisenbrand

We show that a 2-variable integer program, defined by m constraints involving coefficients with at most φ bits, can be solved with O(m+φ) arithmetic operations on rational numbers of size O(φ). © Springer-Verlag 2004. ...

2005

Hall magnetometry on a ferromagnetic nanoring

Dirk Grundler

We have integrated an individual nanostructured permalloy ring on a Hall sensor and studied the switching processes in a temperature regime between 4.2 and 90 K in in-plane magnetic fields. The nanoring has an outer diameter of 550 nm. In the ring with a s ...

Elsevier2004

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