A Theoretical Demonstration of Properties of Grating Anomalies (S-polarization)

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Abstract
A general theory of the diffraction by gratings is applied to gratings with a sinusoidal profile (of interest since the advent of holographic techniques in grating production), and also to gratings with a triangular profile. Particular application is made to S -polarization anomalies, where good agreement is obtained with experimental observations. Two new phenomena, namely (i) a power-law relation between resonance anomaly bandwidth and grating amplitude, and (ii) the transference of Wood anomalies between two orders, are reported. Also, a new theoretical insight into the form of a peculiar type of double anomaly for a triangular-profile grating, as observed by Wood [18] and Strong [19], is reported.
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