Scalar Expression

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Yiping Han - One of the best experts on this subject based on the ideXlab platform.

  • Scattering of polarized non-diffracting Lommel beams by nonspherical homogeneous particles
    Journal of Quantitative Spectroscopy and Radiative Transfer, 2018
    Co-Authors: Zhiwei Cui, Pan Song, Yuanfei Hui, Wenjuan Zhao, Yiping Han
    Abstract:

    Abstract We report a detailed study of the scattering from nonspherical homogeneous particles illuminated by non-diffracting Lommel beams with different states of polarization. Based on the Scalar Expression of Lommel beam, by introducing vector potential and using the Lorentz gauge, a full vector-wave derivation for the electric and magnetic field components of non-diffracting Lommel beams with linear, circular, radial, and azimuthal polarizations is provided. The surface integral equations method (SIEM) is applied to characterize the scattering problems involving nonspherical homogeneous dielectric particles. As an example, the effects of various parameters characterizing the feature of the Lommel beams on the differential scattering cross section (DSCS) for a spheroid are examined. The results show that the DSCS strongly affected by the states of polarization, asymmetric constant, half-cone angle, and order of the incident beam, which indicates that appropriate selection of these parameters can enhance or suppress the scattering by particles. The DSCSs for the scattering of a Lommel beam with different states of polarization by a cylinder, a cone, and a hexagonal prism are also presented. These results will be useful to reveal the scattering mechanism of the non-diffracting Lommel beams and provide useful references for optical diagnosis, measurement and manipulation of nonspherical particles.

Zhiwei Cui - One of the best experts on this subject based on the ideXlab platform.

  • Scattering of polarized non-diffracting Lommel beams by nonspherical homogeneous particles
    Journal of Quantitative Spectroscopy and Radiative Transfer, 2018
    Co-Authors: Zhiwei Cui, Pan Song, Yuanfei Hui, Wenjuan Zhao, Yiping Han
    Abstract:

    Abstract We report a detailed study of the scattering from nonspherical homogeneous particles illuminated by non-diffracting Lommel beams with different states of polarization. Based on the Scalar Expression of Lommel beam, by introducing vector potential and using the Lorentz gauge, a full vector-wave derivation for the electric and magnetic field components of non-diffracting Lommel beams with linear, circular, radial, and azimuthal polarizations is provided. The surface integral equations method (SIEM) is applied to characterize the scattering problems involving nonspherical homogeneous dielectric particles. As an example, the effects of various parameters characterizing the feature of the Lommel beams on the differential scattering cross section (DSCS) for a spheroid are examined. The results show that the DSCS strongly affected by the states of polarization, asymmetric constant, half-cone angle, and order of the incident beam, which indicates that appropriate selection of these parameters can enhance or suppress the scattering by particles. The DSCSs for the scattering of a Lommel beam with different states of polarization by a cylinder, a cone, and a hexagonal prism are also presented. These results will be useful to reveal the scattering mechanism of the non-diffracting Lommel beams and provide useful references for optical diagnosis, measurement and manipulation of nonspherical particles.

G. Kahl - One of the best experts on this subject based on the ideXlab platform.

  • Equivalence of two free-energy models for the inhomogeneous hard-sphere fluid
    Physical Review A, 1993
    Co-Authors: S. Phan, E. Kierlik, M. L. Rosinberg, B. Bildstein, G. Kahl
    Abstract:

    It is shown that the free-energy model for the inhomogeneous hard-sphere fluid introduced by Rosenfeld [Phys. Rev. Lett. 63, 980 (1989)], which contains both vector and Scalar contributions, and the fully Scalar Expression proposed subsequently by Kierlik and Rosinberg [Phys. Rev. A 42, 3382 (1990)] represent two equivalent forms of the same functional. This unexpected result was partly obscured by a sign error in the original derivation of the vector part

Wenjuan Zhao - One of the best experts on this subject based on the ideXlab platform.

  • Scattering of polarized non-diffracting Lommel beams by nonspherical homogeneous particles
    Journal of Quantitative Spectroscopy and Radiative Transfer, 2018
    Co-Authors: Zhiwei Cui, Pan Song, Yuanfei Hui, Wenjuan Zhao, Yiping Han
    Abstract:

    Abstract We report a detailed study of the scattering from nonspherical homogeneous particles illuminated by non-diffracting Lommel beams with different states of polarization. Based on the Scalar Expression of Lommel beam, by introducing vector potential and using the Lorentz gauge, a full vector-wave derivation for the electric and magnetic field components of non-diffracting Lommel beams with linear, circular, radial, and azimuthal polarizations is provided. The surface integral equations method (SIEM) is applied to characterize the scattering problems involving nonspherical homogeneous dielectric particles. As an example, the effects of various parameters characterizing the feature of the Lommel beams on the differential scattering cross section (DSCS) for a spheroid are examined. The results show that the DSCS strongly affected by the states of polarization, asymmetric constant, half-cone angle, and order of the incident beam, which indicates that appropriate selection of these parameters can enhance or suppress the scattering by particles. The DSCSs for the scattering of a Lommel beam with different states of polarization by a cylinder, a cone, and a hexagonal prism are also presented. These results will be useful to reveal the scattering mechanism of the non-diffracting Lommel beams and provide useful references for optical diagnosis, measurement and manipulation of nonspherical particles.

Yuanfei Hui - One of the best experts on this subject based on the ideXlab platform.

  • Scattering of polarized non-diffracting Lommel beams by nonspherical homogeneous particles
    Journal of Quantitative Spectroscopy and Radiative Transfer, 2018
    Co-Authors: Zhiwei Cui, Pan Song, Yuanfei Hui, Wenjuan Zhao, Yiping Han
    Abstract:

    Abstract We report a detailed study of the scattering from nonspherical homogeneous particles illuminated by non-diffracting Lommel beams with different states of polarization. Based on the Scalar Expression of Lommel beam, by introducing vector potential and using the Lorentz gauge, a full vector-wave derivation for the electric and magnetic field components of non-diffracting Lommel beams with linear, circular, radial, and azimuthal polarizations is provided. The surface integral equations method (SIEM) is applied to characterize the scattering problems involving nonspherical homogeneous dielectric particles. As an example, the effects of various parameters characterizing the feature of the Lommel beams on the differential scattering cross section (DSCS) for a spheroid are examined. The results show that the DSCS strongly affected by the states of polarization, asymmetric constant, half-cone angle, and order of the incident beam, which indicates that appropriate selection of these parameters can enhance or suppress the scattering by particles. The DSCSs for the scattering of a Lommel beam with different states of polarization by a cylinder, a cone, and a hexagonal prism are also presented. These results will be useful to reveal the scattering mechanism of the non-diffracting Lommel beams and provide useful references for optical diagnosis, measurement and manipulation of nonspherical particles.