All-optical Karhunen–Loeve Transform Using Multimode Interference Structures on Silicon Nanowires
1Trung-Thanh Le, Hanoi University of Natural Resources and Environment, 41A, K1 Road, Tu Liem, Hanoi, Vietnam; E-mail: thanh.le@hunre.edu.vn.
PACS
®
(2010). 42.79.-e, 42.79.Hp, 42.82.Gw, 42.82.Et.
Cite as: Trung-Thanh Le.
All-optical Karhunen–Loeve Transform Using Multimode Interference Structures on Silicon Nanowires, Journal of Optical Communications. 32, 217 (2011). DOI: https://doi.org/10.1515/JOC.2011.052
Abstract
A variety of unitary transforms have attracted considerable attention for their application in data, image compression and other signal processing applications. Among many transforms, the Karhunen–Loeve transform (KLT) is known to be optimal because of its advantages of computational efficiency, residual correlation and rate distortion criterion. In this paper, it is shown that the alloptical Karhunen–Loeve transform can be realized using multimode interference (MMI) structures on silicon wire waveguides. The transfer matrix method (TMM) and the beam propagation method (BPM) are used to verify and optimally design the proposed devices.
Keywords: All-optical signal processing; symmetric cosine transform; symmetric sine transform; Karhunen–Loeve transform; Silicon on insulator; multimode interference coupler; beam propagation method; data compression; image processing
