Abstract
It is shown that (1) the exceptional numerical efficiency of the Rayleigh-Fourier method for h/d (h is the height and d is the period of a sinusoidal grating) as large as 0.5 could not have been discovered by Petit and Cadilhac in 1966 and (2) the Rayleigh least-squares method does not converge numerically for all h/d, these facts being in contradication to the assertions made by Hugonin et al. [J. Opt. Soc. Am. 71, 593 (1981)].

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