Rayleigh scattering is used frequently in Monte Carlo simulation of multiple scattering. The Rayleigh phase function is quite simple, and one might expect that it should be simple to importance sample it efficiently. However, there seems to be no one good way of sampling it in the literature. This paper provides the details of several different techniques for importance sampling the Rayleigh phase function, and it includes a comparison of their performance as well as hints toward efficient implementation.
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http://dx.doi.org/10.1364/JOSAA.28.002436 | DOI Listing |
Sensors (Basel)
January 2025
Department of Electrical Engineering, Indian Institute of Technology Madras, Chennai 600036, India.
In the last decade, substantial progress has been made to improve the performance of optical gyroscopes for inertial navigation applications in terms of critical parameters such as bias stability, scale factor stability, and angular random walk (ARW). Specifically, resonant fiber optic gyroscopes (RFOGs) have emerged as a viable alternative to widely popular interferometric fiber optic gyroscopes (IFOGs). In a conventional RFOG, a single-wavelength laser source is used to generate counter-propagating waves in a ring resonator, for which the phase difference is measured in terms of the resonant frequency shift to obtain the rotation rate.
View Article and Find Full Text PDFLangmuir
January 2025
Department of Chemical Engineering, Indian Institute of Technology, Guwahati 781039, Assam, India.
Self-organized contact line instabilities (CLI) of a macroscopic liquid crystal (LC) droplet can be an ingenious pathway to generate a large collection of miniaturized LC drops. For example, when a larger drop of volatile solvent (e.g.
View Article and Find Full Text PDFPhys Rev E
November 2024
School of Mathematics and Physics, Gangneung-Wonju National University, Gangneung 25457, South Korea.
This study investigates the Rayleigh-Taylor instability in the magnetic field applied parallel to the interface. The motion of the interface is described using a current-vortex-sheet model. The growth rate of the interface is obtained from a linear stability analysis of the model.
View Article and Find Full Text PDFHeliyon
April 2024
Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54890, Pakistan.
The current research presents a mathematical model to study the flow of a non-Newtonian magnetohydrodynamics (MHD) Casson-Carreau nanofluid (CCNF) over a stretching porous surface, considering mass and heat transport rates with Stefan blowing, non-linear thermal radiation, heat source-sink, chemical reaction, thermophoretic and Brownian motions, convective heating, Joule heating, motile microorganisms, and bio-convection. The presence of microorganisms is utilized to control the suspension of nanomaterials within the nanofluid. The current flow model has been rendered by the boundary layer approximation and we get the highly nonlinear partial differential equations (PDEs).
View Article and Find Full Text PDFJ Colloid Interface Sci
March 2025
Department of Mechanical Engineering, Baylor University, One Bear Place #97356, Waco, 76798, TX, United States. Electronic address:
This study reveals how drops impacting thin liquid films leave behind radial microbubble trains - here defined as large-area microbubbles (LAMs) - over a region comparable to the maximal surface coverage of the spreading phase. Using a thin, minimally compliant viscous oil film, the trapped bubbles are immobilized and quantified via high-speed imaging techniques across varying drop velocities and surface inclinations. The setup enables the characterization of microbubble entrainment (e.
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