Abstract

A modified method of excess fractions used for finding the correct integral orders of interference is given. In this modified method, besides an approximate value of the interferometer spacing d′ ± Δd′, either two known precise wavelengths satisfying the requirement of |4(1/λ2 − 1/λ1d′| ≤ 1 or three known precise wavelengths satisfying the requirement of 1 < |4(1/λ2 − 1/λ1d′| ≤ n are sufficient for finding the correct integral orders. I take the integral part of either 2(d′ + Δd′)/λ1 or 2(d′ − Δd′)/λ1 as m11′, continue using m12′ + e2′ = (m11′ + e112, point out that the correct x in the expression m11 = m11′ + x when calculating the correct integral order is the integer nearest (e2e2′ − z)/(λ12 − 1), give the expression m12 = m12′ + xz, introduce integer z into the above-mentioned expressions, and give the selection rules of z. In comparison with the traditional methods, this modified method will avoid both repeatedly probing calculation and using even more wavelengths in measurements and checking computation, and it has rigorous, simple, and convenient features.

© 1987 Optical Society of America

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Corrections

Zhu Shidong, "Calculation of the integral-order number of interference of a Fabry–Perot interferometer-fringe system: errata," J. Opt. Soc. Am. A 4, 1838-1838 (1987)
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-4-9-1838

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