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Showing 1 to 4 of 4 for “"Hankel functions"”.

  1. The numerical synthesis and inversion of acoustic fields using the Hankel transform with application to the estimation of the plane wave reflection coefficient of the ocean bottom

    … Sommerfeld integral which is in the form of a Hankel transform. The Hankel transform is extensively studied in this thesis and both theoretical properties and numerical implementations are considered. These results have broad applications. When we apply them to the generation of synthetic data, …

    woods-hole Repository record for The numerical synthesis and inversion of acoustic fields using the Hankel transform with application to the estimation of the plane wave reflection coefficient of the ocean bottom (opens in a new tab)

  2. Integration of glass microspheres and planar waveguides for microsphere lasers

    … mode numbers based on spherical Bessel and Hankel functions. Coupling and quality factors of the waveguide-coupled system are obtained by integrating the overlapped fields of the microsphere and waveguide, and the study of Q factors as a function of sphere/waveguide separation are …

    soton Repository record for Integration of glass microspheres and planar waveguides for microsphere lasers (opens in a new tab)

  3. A Theoretical Study on the Effect of Curvature on Near-field Radiative Transfer

    … on ratios of successive orders of Bessel and Hankel functions which are computationally inexpensive. An analysis of the dependence of normalized translation coefficients on the size ratio of the two spheres has allowed us to extend the computation of near-field radiative transfer calculations …

    columbia-diss Repository record for A Theoretical Study on the Effect of Curvature on Near-field Radiative Transfer (opens in a new tab)

  4. Diffraction-based Optical Architectures for Processing One-dimensional Data

    … are proved in the planar context, with Green’s functions given in terms of Hankel functions, including the Rayleigh-Sommerfeld diffraction formulae, Fresnel and Fraunhofer approximations, and angular spectrum formulations, with the Fourier relationships between various formulations elucidated. …

    cambridge Repository record for Diffraction-based Optical Architectures for Processing One-dimensional Data (opens in a new tab)