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ART. 207 - On a Simple Interference Arrangement

Published online by Cambridge University Press:  05 July 2011

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Summary

If a point, or line, of light be regarded through a telescope, the aperture of which is limited to two narrow parallel slits, interference bands are seen, of which the theory is given in treatises on Optics. The width of the bands is inversely proportional to the distance between the centres of the slits, and the width of the field, upon which the bands are seen, is inversely proportional to the width of the individual slits. If the latter element be given, it will usually be advantageous to approximate the slits until only a small number of bands are included. In this way not only are the bands rendered larger, but illumination may be gained by the then admissible widening of the original source.

Supposing, then, the proportions of the double slit to be given, we may inquire as to the effect of an alteration in scale. A diminution in ratio m will have the effect of magnifying m times the field and the bands (fixed in number) visible upon it. Since the total aperture is diminished m times, it might appear that the illumination would be diminished m2 times, but the admissible widening of the original source m times reduces the loss, so that it stands at m times, instead of m2 times.

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Scientific Papers , pp. 76 - 77
Publisher: Cambridge University Press
Print publication year: 2009
First published in: 1903

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