Journal
OPTICS COMMUNICATIONS
Volume 387, Issue -, Pages 401-404Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.optcom.2016.10.063
Keywords
Echelle gratings; Diffraction efficiency; Groove Shape; Characteristics; Deep groove depth; Electromagnetic diffraction theory; Universal model
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Funding
- National R & D Projects for Key Scientific Instruments [ZDYZ2008-1]
- Ministry of National Science and Technology through the National Key Basic Research Program of China [2014CB049500]
- Jilin Major Province Science and Technology Development Program Project [20140203011GX]
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The groove shape characteristics of echelle gratings with high diffraction efficiency are investigated. Using the coordinate transformation method (C method), an r-2 aluminum echelle with 79 grooves/mm is optimized through rigorous numerical simulations and shows high diffraction efficiency of 76-81% in the high Littrow orders. A grating is found to be essentially an echelle if it contains a series of reflective facets with a specific tilt angle that are located far from the nonworking facet of the grating and have a deep groove depth; any groove shape that meets these conditions can be called an echelle grating. The underlying mechanism is analyzed phenomenologically using electromagnetic theory. The universal model proposed here, which represents a new cognitive understanding of the concept of the echelle, is ready for use in manufacturing applications and offers a new perspective for the fabrication of these gratings.
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