What question did this study set out to answer?

To develop a unified, computer-implementable matrix method using rigorous coupled-wave analysis to model diffraction in general planar gratings with arbitrary fringe orientations.

July 1, 1981Journal of the Optical Society of America

Rigorous coupled-wave analysis of planar-grating diffraction

View Full Paper

Ask AI

Bookmark

Authors

MMM. G. MoharamUniversity of Central Florida TGThomas K. GaylordGeorgia Institute of Technology

Discussion

Member takes

Implication

Theoretical modeling demonstrates exact diffraction characteristics across slanted planar gratings, highlighting critical conditions where approximate optical theories fail.

Key Points

To develop a unified, computer-implementable matrix method using rigorous coupled-wave analysis to model diffraction in general planar gratings with arbitrary fringe orientations.
Formulated a rigorous coupled-wave analysis using a state-variables representation for planar gratings bounded by different media.
Evaluated diffraction characteristics across transmission, slanted, and reflection grating geometries.
Compared formulation accuracy against rigorous modal theory, approximate two-wave modal theory, and multiwave coupled-wave theories.
Obtained exact diffraction characteristics for general slanted gratings without relying on conventional approximations.
Demonstrated that inclusion of higher-order waves is essential for accuracy when forward-diffracted orders dominate in transmission gratings.
Showed that retaining second derivatives of field amplitudes and boundary diffraction is necessary when backward-diffracted orders dominate in reflection gratings.

Cite This Study

Moharam et al. (1981) studied this question.

synapsesocial.com/papers/69fadaeb0f3e3dd74db85834 https://doi.org/10.1364/josa.71.000811

View Full Paper

Ask AI

Bookmark

Implication

Theoretical modeling demonstrates exact diffraction characteristics across slanted planar gratings, highlighting critical conditions where approximate optical theories fail.

Rigorous coupled-wave analysis of planar-grating diffraction

Discussion

Member takes

Implication

Key Points

Cite This Study

Rigorous coupled-wave analysis of planar-grating diffraction

Discussion

Member takes

Implication

Key Points

Cite This Study

Also Consider

Also Consider