Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder I Theory
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منابع مشابه
Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder. I. Theory.
A sequence of rainbows is produced in light scattering by a particle of high symmetry in the short-wavelength limit, and a supernumerary interference pattern occurs to one side of each rainbow. Using both a ray-tracing procedure and the Debye-series decomposition of first-order perturbation wave theory, I examine the spacing of the supernumerary maxima and minima as a function of the cylinder r...
متن کاملSupernumerary Spacing of Rainbows Produced by an Elliptical-Cross-Section Cylinder. II. Experiment.
We measured the supernumerary spacing parameter of the first- and second-order rainbows of two glass rods, each having an approximately elliptical cross section, as a function of the rod's rotation angle. We attribute large fluctuations in the supernumerary spacing parameter to small local inhomogeneities in the rod's refractive index. The low-pass filtered first-order rainbow experimental data...
متن کاملAmplification of high-order rainbows of a cylinder with an elliptical cross section.
The intensity of high-order rainbows for normally incident light and certain rotation angles of a cylinder with an elliptical cross section is greatly amplified with respect to the intensity for a circular cross-sectional cylinder. The amplification is due to a number of the internal reflections occurring past the critical angle for total internal reflection, and the effect is especially strong...
متن کاملSupernumerary arcs of rainbows: Young's theory of interference.
Supernumerary arcs on rainbows are historically important because in the early 1800s they provided evidence in favor of the wave theory of light. The success of Airy's rainbow integral has overshadowed the earlier contribution from Young, who proposed that supernumerary arcs were caused by interference between two geometrical rays that emerge from the raindrop at the same scattering angle. Airy...
متن کاملRainbow scattering by a cylinder with a nearly elliptical cross section.
We both theoretically and experimentally examine the behavior of the first- and the second-order rainbows produced by a normally illuminated glass rod, which has a nearly elliptical cross section, as it is rotated about its major axis. We decompose the measured rainbow angle, taken as a function of the rod's rotation angle, into a Fourier series and find that the rod's refractive index, average...
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ژورنال
عنوان ژورنال: Applied Optics
سال: 2000
ISSN: 0003-6935,1539-4522
DOI: 10.1364/ao.39.005040