A new approach to linear filtering and prediction problems by Kallenrode

By Kallenrode

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Similarly the pulse characteristics are reduced to the time of the maximum tmax and the pulse duration ∆t. The polarization of the beam is described by the degree of polarization p and the angle of the electric field maximum ϕmax in relation to laboratory coordinates. In addition to these four functions the coherence of the beam has to be recognized. This can be done in an approximate and simple way using the coherence length lcoh or coherence time τcoh in the axial direction and using the transversal coherence length lcoh,transversal in the transversal direction as described in Sect.

Detection of environmental pollution is based in many cases on laser spectroscopic measurements. Lidar and other wide-ranging methods are used for the analysis of air pollution. Shorter pulses will allow a further increase of spatial resolution. New materials are needed for the invention of new solar energy technologies. Nonlinear optical investigations may be necessary for their exploration. Promising first results have been obtained using organic molecules as sensitizers for inorganic solar energy collectors.

From this formula the minimum possible beam diameter can be derived using the maximum possible divergence and obviously smaller wavelengths produce smaller foci. 89) by applying the matrix elements and the assumptions of 1/Rlens = 0 and L = f . 40]. In this case the dispersion of the lens may cause additional wave front distortions. The lens diameter can be smaller than the beam diameter and thus diffraction may occur. The resulting effects are described in Sect. 2 (p. 132) and the references therein.

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