Supernumerary spacing of rainbows produced by an elliptical-cross-section cylinder II Experiment

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Supernumerary 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...

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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...

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Amplification 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...

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Rainbow 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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Pancreatic cross-section: an elliptical model.

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ژورنال

عنوان ژورنال: Applied Optics

سال: 2001

ISSN: 0003-6935,1539-4522

DOI: 10.1364/ao.40.002535