Results 201 to 210 of about 1,041,652 (246)
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Journal of the Optical Society of America, 1982
The effects of slow variations in radius ρ and core-cladding refractive-index difference Δ along the length of optical fibers are determined by using the ray-path equations. Simple formulas in terms of the averaged properties of ρ and Δ show that, in power-law fibers, pulse dispersion is slightly increased and the magnitude of the induced power loss ...
A. Ankiewicz, C. Pask, A. W. Snyder
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The effects of slow variations in radius ρ and core-cladding refractive-index difference Δ along the length of optical fibers are determined by using the ray-path equations. Simple formulas in terms of the averaged properties of ρ and Δ show that, in power-law fibers, pulse dispersion is slightly increased and the magnitude of the induced power loss ...
A. Ankiewicz, C. Pask, A. W. Snyder
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1983
The previous chapter was concerned with perturbations due to nonuniformities which do not vary along the length of the fiber. However, fibers can also have nonuniformities which depend upon position along the fiber, e.g. variations in the core radius of a circular fiber or the twisting of the cross-section of an elliptical fiber.
Allan W. Snyder, John D. Love
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The previous chapter was concerned with perturbations due to nonuniformities which do not vary along the length of the fiber. However, fibers can also have nonuniformities which depend upon position along the fiber, e.g. variations in the core radius of a circular fiber or the twisting of the cross-section of an elliptical fiber.
Allan W. Snyder, John D. Love
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Periodic Orbits in Slowly Varying Oscillators
SIAM Journal on Mathematical Analysis, 1987We develop a global perturbation technique for the study of periodic orbits in three-dimensional, time dependent and independent, perturbations of planar Hamiltonian differential equations. We give existence, stability and bifurcation theorems and illustrate our results with examples that exhibit saddle-node and Hopf bifurcations of periodic orbits.
Wiggins, Stephen, Holmes, Philip
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Combustion and Flame, 1977
Abstract Pursuing ideas of Sivashinsky, we consider distinguished limit perturbations of the classical one-dimensional deflagration wave in the limit of large activation energy in order to investigate unsteady effects, three-dimensional effects, and the effects of heat losses and area changes.
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Abstract Pursuing ideas of Sivashinsky, we consider distinguished limit perturbations of the classical one-dimensional deflagration wave in the limit of large activation energy in order to investigate unsteady effects, three-dimensional effects, and the effects of heat losses and area changes.
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On slowly time-varying systems
Automatica, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dahleh, Mohammed, Dahleh, Munther A.
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Propagation in Slowly-Varying Wave-Guides
SIAM Journal on Applied Mathematics, 1977It is shown that a slight modification to the ray ansatz of short wave asymptotics can lead to a considerable improvement in the uniformity of the solution. A superposition of ray solutions is used to obtain a description of the sound waves generated by a multi-pole point source in a weakly stratified ocean.
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Instability of slowly varying systems
IEEE Transactions on Automatic Control, 1972Instability criteria are obtained for systems described by \dot{x} = A(t)x when the parameters are slowly varying. In particular it is shown that, when A(t) has eigenvalues in the right-half plane and all eigenvalues are bounded away from the imaginary axis, then if \sup_{t \geq 0} \parallel \dot{A}(t)\parallel is sufficiently small, the system has ...
Skoog, Ronald A., Lau, Clifford G. Y.
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Co-Orbital Motion with Slowly Varying Parameters
Celestial Mechanics and Dynamical Astronomy, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sicardy, Bruno, Dubois, Véronique
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Errata: Homoclinic Orbits in Slowly Varying Oscillators
SIAM Journal on Mathematical Analysis, 1988A small correction to ibid. 18, 612-629 (1987; Zbl 0622.34041).
Wiggins, Stephen, Holmes, Philip
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Propagation in slowly varying waveguides
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1968The W. K. B. approximation is applied to a general system of linear partial differential equations which may be derived from a variational principle of a certain type. The theory describes slowly varying wavetrains, with the oscillation locally in one of the normal modes of a waveguide of quite general structure.
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