N-slit interferometric equation
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Quantum mechanics was first applied to optics, and interference in particular, by Paul Dirac.[1] Richard Feynman, in his Lectures on Physics, uses Dirac's notation to describe thought experiments on double-slit interference of electrons.[2] Feynman's approach was extended to N-slit interferometers for either single-photon illumination, or narrow-linewidth laser illumination, that is, illumination by indistinguishable photons, by Frank Duarte.[3][4] The N-slit interferometer was first applied in the generation and measurement of complex interference patterns.[3][4]
In this article the generalized N-slit interferometric equation, derived via Dirac's notation, is described. Although originally derived to reproduce and predict N-slit interferograms,[3][4] this equation also has applications to other areas of optics.