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The London Edinburgh and Dublin Philosophical Magazine and Journal of Science

XXIII. On an apparatus to illustrate the interference of two plane waves

Charles Josiah Woodward

Published Sep 1, 1877• 0 citations
Publisher
DOI
10.1080/14786447708639320

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We describe five quantum mechanics experiments that have been designed for an undergraduate setting. The experiments use correlated photons produced by parametric down conversion to generate interference patterns in interferometers. The photons are counted individually. The experimental results illustrate the consequences of multiple paths, indistinguishability, and entanglement. We analyze the results quantitatively using plane-wave probability amplitudes combined according to Feynman’s rules, the state-vector formalism, and amplitude packets. The apparatus fits on a 2′×4′ optical breadboard.
The interference of two or more waves give rise, at intensity level, to another wave phenomenon, a second-order wave structure. The interference of different frequency waves is the frame in which this fact becomes most evident. A theoretical treatment of the interference of two homogeneous plane waves of different frequencies is given. The notion of amplitude wave is introduced. Ordinary interference and beating are discussed as special cases, in the frame of this general theory. Some experimental illustrations are given.