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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Numerische Mathematik 58 (1990), S. 737-757 
    ISSN: 0945-3245
    Keywords: AMOS(MOS): 49A22 ; 58E12 ; 65M60 ; CR: G1.8.G1.6
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The problem of the construction of an equilibrium surface taking the surface tension into account leads to “Laplace-Young” equation which is a nonlinear elliptic free-boundary problem. In contrast to Orr et al. where an iterative technique is used for direct solution of the equation for problems with simple geometry, we propose here an alternative approach based on shape optimization techniques. The shape of the domain of the liquid is varied to attain the optimality condition. Using optimal control theory to derive expressions for the gradient, a numerical scheme is proposed and simple model problems are solved to validate the scheme.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 93 (1990), S. 9106-9112 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: The modification of the photochemical dissociation rate of molecules in the presence of a rough metal surface is explored. Classical electromagnetic calculations are presented for the photodissociation rate of a point dipole near a rough surface modeled as a hemispheroidal bump on a semi-infinite flat plane. A correction is introduced by accounting for the reaction fields due to the dipole–substrate system radiating photons and coupling to delocalized surface plasmons. The effects of the shape and size of the bump, and the separation of the molecule from the bump on the rate of photodissociation of the molecule, are studied numerically.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 89 (1988), S. 6497-6505 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: We examine a quantum mechanical model for two photon absorption by a molecule near a spherical metal particle. The adsorbed molecule is idealized as a three level system and the metal particle is taken to represent a "rough surface.'' Expressions for the second order nonlinear dipole moment of the adsorbed species are obtained. Since the nonlinear optical power absorption is directly proportional to the square of the respective nonlinear dipole moment, one is able to draw conclusions regarding the effect of the substrate on nonlinear absorption by the adsorbate. Peak enhancement of surface induced two photon absorption is predicted for a molecule–surface separation of (approximate)20 A(ring). Optimum conditions for maximum enhancement are investigated.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    The Journal of Chemical Physics 98 (1993), S. 746-752 
    ISSN: 1089-7690
    Source: AIP Digital Archive
    Topics: Physics , Chemistry and Pharmacology
    Notes: A numerical study of photochemistry near a rough InSb surface, whose roughness is modeled as a spheroidal bump protruding out of the substrate plane, has been carried out. The semiconducting nature of the substrate is taken into account via a model dielectric function. "Shape resonance'' effects through the resonant coupling of the bump excitations to photons and various substrate modes (plasmons, phonons, etc.) are calculated and included in the study. Unlike in the case of a metal surface, radiation damping as well as damping due to adsorbate–substrate coupling are seen to play a minor role.
    Type of Medium: Electronic Resource
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