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On the coefficient of nonlinearity β in nonlinear acoustics

The Journal of the Acoustical Society of America, 1988
An analysis valid to second order in the acoustic variables is used to investigate the origin and form of the coefficient of nonlinearity β. Two cases are considered. First, for progressive plane waves, the well-known formula is β=1+B/2A, where B/2A is the coefficient of the quadratic term in the isentropic pressure–density relation.
Mark F. Hamilton, David T. Blackstock
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Resonant Nonlinear Optical Coefficients of Ferroelectrics

Ferroelectrics, 2007
We review our work on the resonant nonlinear response of bulk ferroelectric materials in the frequency region of the optic mode, in particular our attention is focused on the derivation and calculation of the nonlinear optical (NLO) susceptibilities in this region.
Junaidah Osman   +2 more
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DC coefficient restoration using nonlinear criterion and AC coefficients restoration

Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), 2002
The DC coefficient restoration scheme is a technique which can be used to increase the compression ability of transform image coding by not transmitting the DC coefficients but estimating them from the transmitted AC component. We have previously proposed a nonlinear estimation criterion using the maximum a posterior (MAP) estimation technique which ...
null Fu-Wing Tse, null Wai-Kuen Cham
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Symmetry properties of nonlinear barrier coefficients

Journal of Statistical Physics, 1982
This paper concerns the properties of a symmetric barrier between two reservoirs. The barrier can passK conserved quantities. The current of theith quantity is assumed to satisfy the nonlinear relationJ i=A ijΔβj+BijklΔβjΔβkΔβl where the Δβi's are the affinity differences across the barrier andA ij andB ijkl are functions of the average affinities of ...
Claude Garrod, James P. Hurley
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Nonlinear Distribution Coefficients in Gas Chromatography

Separation Science, 1966
Abstract Nonlinear partition coefficients of polar solutes on coated and uncoated diatomaceous-earth supports lend themselves to mathematical treatment when proper precautions are taken to reproducibly condition the chromatographic column. A previously derived equation was used to calculate the adsorption and distribution isotherms from adsorption ...
Paul Urone   +2 more
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Nonlinear viscoelasticity with time-dependent coefficients

Nonlinear Analysis: Theory, Methods & Applications, 1986
This paper investigates a viscoelastic problem with time dependent coefficients. The goal is the determination of the displacement and stress fields in a small perturbation and quasistatic setting. The particular model considered is the Kelvin-Voigt type with a Norton-Hoff potential for the mechanical dissipation.
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Nonlinear Burnett coefficients

Physical Review A, 1990
, Standish, , Evans
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Material nonlinear piezoelectric coefficients for quartz

Journal of Applied Physics, 1983
An electroelastic or polarizing effect can be used to obtain material nonlinear pizoelectric or electroelastic coefficients. It is shown that these material coefficients, obtained from general rotationally invariant nonlinear equations for small field superposed on a bias, differ from those obtained by using the phenomenological expansion of the ...
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Interaction coefficient in detuned nonlinear couplers

Optics Communications, 1988
Abstract By including a field interaction coefficient we give a complete treatment of a nonlinear coupler which is ”detuned“ in the sense that two unequal guides are used. This generalizes earlier works in this area.
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Radiometric versus geometric, linear, and nonlinear vignetting coefficient

Applied Optics, 2009
We analyze the vignetting phenomenon both for optical systems with objects placed at finite distances and for systems with objects at infinity. Four of the possible definitions of the vignetting coefficient k, only two of them existing in the literature, are discussed.
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