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Computation of the scattering intensity distribution for natural light scattered by an air bubble in water

Wei Li1, Kecheng Yang1, Min Xia1, Dan Tan2, Xiaohui Zhang3, Qizhong Liu1,3 and Xuanhua Lei1,3

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This paper aims to propose an equation for calculating the distribution of light scattered when a collimated beam is incident upon a spherical air bubble in water. As it neglects the attenuation factor G, the formula is much simpler than that of the Davis model. One application of the formula is providing a model using which one can computer generate the angular distribution of radiation scattered by air bubbles. During the research, a curve that models the angular distribution of the radiation scattered by a bubble is generated by use of a PC. The typical computations are for a bubble radius of R = 200 µm andthe relative refractivity of water at 15 °C of n = 1.33. It is found that the forward scattering effect is far greater than the backward scattering one. The conclusion is that as long as the bubble radius is much larger than the wavelength of light, the angular distribution of the scattered light is not influenced by the change of bubble radius. However, increase of the relative refractive index in the transmitting media weakens the forward scattering while it strengthens the backward scattering on the bubble surface.


PACS

42.25.Fx Diffraction and scattering

47.55.D- Drops and bubbles

Subjects

Fluid dynamics

Optics, quantum optics and lasers

Dates

Issue 1 (January 2006)

Received 30 March 2005, accepted for publication 17 November 2005

Published 22 December 2005



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