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Browse Journals & Magazines > Photonics Technology Letters, ...> Volume:21 Issue:14 Help

Synthesis of a 4 \times 4 Walsh–Hadamard Transformer Using Long-Period Waveguide Grating Arrays

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1 Author(s)
Shuo-Yen Tseng ; Dept. of Electro-Opt. Eng., Nat. Cheng Kung Univ., Tainan, Taiwan

Synthesis of discrete unitary transformations using long-period grating arrays are analyzed. Matrix analysis of the coupled-mode equations is used to derive the conditions for the generation of unitary transformations on coherent spatial optical signals. General expressions for the transform matrix are derived. In particular, the grating parameters for the synthesis of a 4 times 4 Walsh-Hadamard transformer are derived. A design example with device parameters is also presented.

Published in:
Photonics Technology Letters, IEEE  (Volume:21 ,  Issue: 14 )

Date of Publication: July15, 2009

Page(s):
972 - 974
ISSN :
1041-1135
INSPEC Accession Number:
10772556
Digital Object Identifier :
10.1109/LPT.2009.2021154
Date of Publication :
08 May 2009
Date of Current Version :
26 June 2009
Issue Date :
July15, 2009
Sponsored by :
IEEE Photonics Society

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