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Optical caustics associated with the primary rainbow for coated spheroidal droplets
Optics Express
|February 20, 2026
Summary
This study uses a vector ray tracing model to analyze optical caustics, like rainbow fringes, in coated spheroidal droplets illuminated by Gaussian beams. Researchers investigated how droplet properties and beam position affect these complex light patterns.
Area of Science:
- Optics
- Photonics
- Computational Physics
Background:
- Optical caustics, including rainbow and hyperbolic umbilical fringes, are complex light patterns formed by scattering.
- Spheroidal droplets, particularly coated ones, exhibit unique scattering phenomena due to their shape and layered structure.
Purpose of the Study:
- To investigate the optical caustics of coated spheroidal droplets illuminated by a Gaussian beam.
- To analyze the influence of various droplet parameters and illumination conditions on caustics formation.
Main Methods:
- Utilized a vector ray tracing (VRT) model for detailed optical analysis.
- Focused on specific ray types, (1, 2, 2), for comprehensive investigation.
- Compared VRT model results with analytical solutions for validation.
Main Results:
- Established relationships between scattering and incident angles using the VRT model.
- Examined the curvature of rainbow fringes and cusp caustics location for varying core-shell ratios, aspect ratios, and refractive indices.
- Determined the impact of droplet tilt angles and Gaussian beam position on caustics.
Conclusions:
- The VRT model accurately describes rainbow scattering from coated spheroidal droplets.
- Provides insights into rainbow scattering from multilayer droplets and other convex shapes under various illuminations.
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