Formulation For Stable And Efficient Implementation Of The Rigorous Coupled-Wave Analysis Of Binary Gratings
Abbreviated Journal Title
J. Opt. Soc. Am. A-Opt. Image Sci. Vis.
SURFACE-RELIEF GRATINGS; DIFFRACTION ANALYSIS; Optics
The rigorous coupled-wave analysis technique for describing the diffraction of electromagnetic waves by periodic grating structures is reviewed. Formulations for a stable and efficient numerical implementation of the analysis technique are presented for one-dimensional binary gratings for both TE and TM polarization and for the general case of conical diffraction. It is shown that by exploitation of the symmetry of the diffraction problem a very efficient formulation, with up to an order-of-magnitude improvement in the numerical efficiency, is produced. The rigorous coupled-wave analysis is shown to be inherently stable. The sources of potential numerical problems associated with underflow and overflow, inherent in digital calculations, are presented. A formulation that anticipates and preempts these instability problems is presented. The calculated diffraction efficiencies for dielectric gratings are shown to converge to the correct value with an increasing number of space harmonics over a wide range of parameters, including very deep gratings. The effect of the number of harmonics on the convergence of the diffraction efficiencies is investigated. More field harmonics are shown to be required for the convergence of gratings with larger grating periods, deeper gratings, TM polarization, and conical diffraction.
Journal of the Optical Society of America a-Optics Image Science and Vision
Article; Proceedings Paper
"Formulation For Stable And Efficient Implementation Of The Rigorous Coupled-Wave Analysis Of Binary Gratings" (1995). Faculty Bibliography 1990s. 1415.