TY - JOUR
T1 - Effective grating theory for resonance domain surface-relief diffraction gratings
AU - Golub, Michael A.
AU - Friesem, Asher A.
PY - 2005/6
Y1 - 2005/6
N2 - An effective grating model, which generalizes effective-medium theory to the case of resonance domain surface-relief gratings, is presented. In addition to the zero order, it takes into account the first diffraction order, which obeys the Bragg condition. Modeling the surface-relief grating as an effective grating with two diffraction orders provides closed-form analytical relationships between efficiency and grating parameters. The aspect ratio, the grating period, and the required incidence angle that would lead to high diffraction efficiencies are predicted for TE and TM polarization and verified by rigorous numerical calculations.
AB - An effective grating model, which generalizes effective-medium theory to the case of resonance domain surface-relief gratings, is presented. In addition to the zero order, it takes into account the first diffraction order, which obeys the Bragg condition. Modeling the surface-relief grating as an effective grating with two diffraction orders provides closed-form analytical relationships between efficiency and grating parameters. The aspect ratio, the grating period, and the required incidence angle that would lead to high diffraction efficiencies are predicted for TE and TM polarization and verified by rigorous numerical calculations.
UR - http://www.scopus.com/inward/record.url?scp=20844452681&partnerID=8YFLogxK
U2 - 10.1364/JOSAA.22.001115
DO - 10.1364/JOSAA.22.001115
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AN - SCOPUS:20844452681
SN - 1084-7529
VL - 22
SP - 1115
EP - 1126
JO - Journal of the Optical Society of America A: Optics and Image Science, and Vision
JF - Journal of the Optical Society of America A: Optics and Image Science, and Vision
IS - 6
ER -