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Role of propagating modes in a double-groove grating with a +1st-order diffraction angle larger than the substrate–air critical angle

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Abstract

Here we show, analytically and numerically, that in a TiO2 double-groove grating with two different groove widths per period attached on the SiO2 substrate, the normally incident light couples to the +1st-order transmission with 96.9% efficiency and with a 50° diffraction angle that is larger than the SiO2–air interface critical angle. Modal anal ysis reveals that three propagating modes for the +1st diffraction order reach the grating back end in phase, while the corresponding propagating modes for the 1st and zeroth orders are added destructively at the grating end. Four optical devices based on this grating characteristic are numerically demonstrated.

© 2010 Optical Society of America

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