Open AccessRIGOROUS MODAL THEORY OF PHASE GRATING AND THE TOTAL REFLECTANCE PROPERTY
Author(s) -
FU KE-XIANG,
Zhang Da-yue,
Zhiheng Wang,
Qizhi Zhang,
Jing Zhang
Publication year - 1998
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.47.1278
Subject(s) - diffraction , grating , reflection (computer programming) , optics , property (philosophy) , phase (matter) , modal , reflection coefficient , amplitude , series (stratigraphy) , function (biology) , diffraction grating , transmission (telecommunications) , computer science , physics , materials science , telecommunications , evolutionary biology , paleontology , philosophy , epistemology , quantum mechanics , polymer chemistry , biology , programming language
This paper discusses the electromagnetic field distribution in phase grating and the rate of diffraction for different diffraction orders by using a rigorous modal theory. Piece wise analytical function is used to express the eigen functions instead of the infinite series in other methods. Stable, fast and accurate recurrent formulae are developed to calculate the reflection transmission and amplitude coefficient matrix that can treat phase grating with any number of groove steps. The numerical results show that there exist bands of total reflectance. The conditions and the physical mechanisms for which the total reflectance occurs are discussed.