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Mathematical ultrashort-pulse laser physics (book)
Analytical and numerical approaches to an analysis of the
ultrashort-pulse solid-state lasers are presented. Unique self-consistent
method of the laser dynamics analysis is based on the symbolical,
numerical, programming, and graphical capacities of Maple 8. Algorithmization
of the basic conceptions as well as sophisticated
research methods is of interest for both students and experts in
laser physics and nonlinear dynamics
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Dispersion characteristics of the tapered fibers
Analytical consideration of the circular and rectangular step-profile fibers is presented. The Helmholtz's equation for a fiber mode results in the transcendental equation for the propagation constant, which can be solved numerically by means of the Matlab-procedure. As a result, the effective refractivity indexes and the fiber's dispersion can be obtained.
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Propagation of the Gaussian ultrashort pulse in a nonlinear laser medium
Propagation of the Gaussian ultrashort pulse in a nonlinear medium is considered on the basis of the variation and momentum methods. The combined action of self-phase modulation, self-focusing, dispersion, diffraction, spectral filtering, radial varying gain and thermo-lensing is considered. The presented approaches are of interest for an analysis of the Kerr-lens mode-locking ability and the ultrashort pulse stability of the continuous-wave pumped solid-state lasers
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 p
- pulses and chirped quasi-solitons in Kerr-lens mode-locked laser
laser with coherent semiconductor absorber
Conditions allowing the coherent p
- pulses and chirped quasi-solitons in the Kerr-lens mode-locked
solid-state laser were investigated
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Cr:
ZnSe:Cr(2+) as a new material for the Kerr-lens mode locking: gain band and nonlinear refraction
Analysis of the gain band width and calculation of the nonlinear refractive index suggest a capability of the ZnSe:Cr(2+)-laser for the few optical cycle pulse generation in mid-IR
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Estimation
of the minimum ultrashort pulse duration in Yb:KYW - laser
Basing on the analysis of Yb(3+):KYW gain band the estimation of
the minimum ultrashort pulse duration was obtained
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Ultrashort
pulse spectra in LiSGaF mode-locked laser in the presence of a high-order
dispersion and stimulated Raman scattering in the active medium
An analysis of the spectral characteristics of a cw mode-locked
LiSGaF-laser is presented. The obtained result demonstrates that
the stimulated Raman scattering shifts the ultrashort pulse spectrum
in red region and defines the spectral characteristics of the mode
locking regime
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Q-switch
optimization for Yb/Er-glass laser with Co:LMA and Co:MALO saturable
absorbers
The algorithms of the pulse parameters computation and optimization
are presented for the case of Q-switched pulse-pumped lasers with
crystalline saturable absorbers
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Axial perturbations of the spherically symmetric collapsar in the relativistic theory of gravitation
Axial perturbations of the spherically symmetric metric of the relativistic theory of gravitation have been analyzed in the vicinity of the Schwarzschild sphere. It was found that the perturbation amplitude is zero on the collapsar "surface". As a result, the collapsar has a constant mass, i.e. there is no an absorption of the perturbation modes. The collapsar bears little resemblance to the black hole, rather it is a certain mirror reflecting the falling fields (perhaps with their transformation into gravitational waves)
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 Cosmological
models in the relativistic theory of gravitation
The calculations describing cosmological models in the so-called Relativistic Theory of
Gravitation are presented
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Spherically symmetric collapsar in the relativistic theory of gravitation
An investigation of the static spherically symmetric vacuum solution
of the Logunov equations demonstrates a strong repulsion at
sub-Planckian distance from the Schwarzschild-like singularity,
which is stable against the small perturbations and physically
unreachable for the collapsing matter
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 Geodesic
line in Riemannian space
Equation for the geodesic line is introduced by means of "Ricci"
package for tensor analysis in Mathematica
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Introduction
to relativistic astrophysics and cosmology through Maple (book)
The basics of the relativistic astrophysics including celestial
mechanics in weak field, black holes and cosmological models are
illustrated and analyzed by means of Maple 6
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Einstein
equations in terms of internal and external curvature
Notion of the external curvature in the Theory of General Relativity
is considered
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Clock
paradox and accelerated motion in special relativity
The pedagogical analysis of the accelerated motion and clock paradox
in framework of the special relativity is presented. Following for
Prof. A.A.Logunov's statements we caution against an incorrect and too
broad interpretation of the equivalence principle for the accelerated
motion
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