Abstract

A procedure is presented whereby a truncated set of coupled-wave equations describing incidence on an unslanted transmission grating at a Bragg angle can be factored into two independent sets of equations. Each of these sets contains approximately half as many equations as the original set, which permits a convenient solution with lower-order secular equations. Explicit coefficient arrays are presented for systems of as much as eight diffracted orders for incidence at the first four Bragg angles. Numerical results are presented for incidence at the second Bragg angle with three- and five-wave theories. The research emphasizes electro-optically induced gratings but includes the possibility of a direct interaction with the electrode structure.

© 1990 Optical Society of America

Analysis of multiwave diffraction of thick gratings

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