2,017 research outputs found

    Random fractional Fourier transform : stochastic perturbations along the axis of propagation

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    The fractional Fourier transform (FRT) is known to be optically implementable with use of a medium with a perfect radial quadratic-index profile. Using the quantum-mechanical operator formalism, we examine the effects on the FRT action of such a medium that are due to small random inhomogeneities in the longitudinal direction, the direction of propagation, and we formulate the random fractional Fourier transform (RFRT). Applying the RFRT to a self-fractional Fourier function, a Gaussian function, we discuss both the total power and the variance. The random Fourier transform is examined as a special limiting case.Other funderForbairt Irelandpe, la, ke, ab, is - TS 22.11.1

    PURE ROTATIONAL SPECTRA OF RARE GAS-HCO+HCO^{+} COMPLEXES

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    m^{m}Y. Ohshima, Y. Sumiyoshi, and Y. Endo, 51st International Symposium on Molecular Spectroscopy, Paper WF05 (1996). n^{n}A. Nowek and J. Leszczynski, {J. Chem. Phys}., \textbf{105}, 6388 (1996).Author Institution: Dept. of Pure and Applied Sciences, The University of Tokyo; Dept. of Chemistry, Kyoto UniversityIn addition to the rotational spectrum of Ar-HCO+HCO^{+} reported previouslympreviously^{m}, that of Kr-HCO+HCO^{+} was observed for the first time by using a PDN-FTMW spectroscopy. The complex was produced in a supersonic jet by discharging a mixture containing H2H_{2}, CO, and Kr diluted in Ar. Rotational transitions of mono-substituted species on Kr, H, C, and O were also observed, yielding a precise substitution structure of the complex, where however a large amplitude bending motion of the complex had to be considered. The determined Rg-H distances were explained for species by considering a charge induced dipole-charge interaction. Furthermore, for Ar-HCO+HCO^{+}, the Ar-H distance and the vibrational frequencies of the van der Waals modes, which were extimated by the centrifugal distortion constant and an analysis of the large amplitude bending motion, were in good agreement with a recent {ab initio} calculationncalculation^{n}

    INTERMOLECULAR POTENTIAL ENERGY SURFACES FOR THE Rg-SH (X~2Πi)(\tilde{X}^{2}\Pi_{i}) COMPLEXES (Rg:Ne,Kr) STUDIED BY FTMW SPECTROSCOPY

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    a^{a} Y. Sumiyoshi, Y.Ohshima, and Y. Endo, J. Chem. Phys. 113, 10121 (2000).Author Institution: Department of Basic Science, Graduate School of Arts and Sciences, The University of TokyoRare gas-SH complexes are interesting species because various phenomena caused by the unquenched spin and angular momenta exist. In the present study, we have observed pure rotational spectra of Ne.SH and Kr-SH in the ground state by FTMW spectroscopy. R-branch transitions in the lower spin component (Ω=3/2)(\Omega = 3/2) for the linear 2Πi^{2}\Pi_{i} radical were observed for J=1.54.5J^{\prime\prime} = 1.5 - 4.5 in the 112511 - 25 GHz region for Ne-SH, and for J=1.56.5J^{\prime\prime} = 1.5 - 6.5 in the 5175 - 17 GHz region for Kr-SH, respectively. In these spectra P-type doublings and hyperfine splittings associated with the H nuclei have been observed. Although the spectral pattern of Kr-SH is relatively regular, that of Ne-SH is fairly irregular with the J dependence of the P-type doubling very different from other Rg-SH or Rg-OH species. In the present analysis, we used a program system explicitly taking into account of the large amplitude stretching and bending motions coupled with the fine and hyperfine structure. We were able to determine intermolecular potential energy surfaces(IPS) for both of the species. We have obtained systematic information on the intermolecular interaction, and compared it with that of ArSHaAr-SH^{a}. The average potential turned out to be fairly shallow and isotropic, especially for Ne.SH, and this may be the source of the irregular spectral pattern of Ne.SH
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