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Related Concept Videos

The Phase Rule01:20

The Phase Rule

The phase rule describes the relationship between the variance (degrees of freedom), the number of components, and the number of phases in a system at equilibrium.Variance is a concept that denotes the number of independent intensive properties (properties are those that do not depend on the amount of material in the system), such as temperature, pressure, and composition, that can be altered without impacting the number of phases in equilibrium.In a single-component system, such as pure water,...
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Physically reasonable analytic expression for the single-scattering phase function: errata.

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Related Experiment Video

Updated: Jun 10, 2026

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator
08:39

Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

Published on: January 28, 2019

Physically reasonable analytic expression for the single-scattering phase function.

W M Cornette, J G Shanks

    Applied Optics
    |August 21, 2010
    PubMed
    Summary
    This summary is machine-generated.

    A new analytic phase function for light scattering is introduced, offering an alternative to the Henyey-Greenstein model. This function accurately represents scattering from various particle sizes and has applications in radiative transfer studies.

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    Area of Science:

    • Atmospheric optics
    • Radiative transfer theory
    • Light scattering

    Background:

    • The Henyey-Greenstein phase function is widely used but has limitations.
    • Accurate phase functions are crucial for modeling radiative transfer in various media.

    Purpose of the Study:

    • To present a novel analytic phase function for light scattering.
    • To compare this new function with the traditional Henyey-Greenstein phase function.
    • To demonstrate its applicability in radiative transfer.

    Main Methods:

    • Developed an analytic phase function reducing to the Rayleigh phase function for unpolarized light.
    • Compared the proposed function with the Henyey-Greenstein phase function.
    • Evaluated the function against Deirmendjian's polydispersions.

    Main Results:

    • The proposed analytic phase function shows good agreement with Deirmendjian's polydispersions.
    • It provides a viable alternative to the Henyey-Greenstein phase function.
    • Demonstrated its utility in radiative transfer calculations.

    Conclusions:

    • The new analytic phase function is a promising tool for light scattering and radiative transfer.
    • It offers improved accuracy for certain scattering scenarios.
    • Further applications in atmospheric and oceanic sciences are expected.