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Differential theory of gratings: answer to an objection on its validity for TM polarization

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Abstract

The rigorous character of the differential method for diffraction gratings for TM polarization was questioned by Depine and Simon [ J. Opt. Soc. Am. A 4, 834 ( 1987)]. They believe that they have found an argument that explains the mismatch of the numerical results found for deep metallic gratings from both integral and differential method, and they think that this argument enables them to say that the differential theory is not a rigorous electromagnetic method. We show here that the proof of their argument is not established.

© 1988 Optical Society of America

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