On the diffraction of light by spheres of small relative index

Abstract

In a short paper “On the Diffraction of Light by Particles Comparable with the Wave-length,”* Keen and Porter describe curious observations upon the intensity and colour of the light transmitted through small particles of precipitated sulphur, while still in a state of suspension, when the size of the particles is comparable with, or decidedly larger than, the wave-length of the light The particles principally concerned in their experiments appear to have decidedly exceeded those dealt with in a recent paper, where the calculations were pushed only to the point where the circumference of the sphere is 2·25 λ. The authors cited give as the size of the particles, when the intensity of the light passing through was a minimum, 6 to 10 μ, that is over 10 wave-lengths of yellow light, and they point out the desirability of extending the theory to larger spheres. The calculations referred to related to tho particular case where the (relative) refractive index of the spherical obstacles is 1·5. This value was chosen in order to bring out the peculiar polarisation phenomena observed in the diffracted light at angles in the neighbourhood of 90°, and as not inappro-priate to experiments upon particles of high index suspended in water. I remarked that the extension of the calculations to greater particles would be of interest, but that the arithmetical work would rapidly become heavy.