Implementation of discrete unitary transformations by multimode waveguide holograms
Applied Optics, Vol. 45, Issue 20, pp. 4864-4872 (2006)
http://dx.doi.org/10.1364/AO.45.004864
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Abstract
Integration of holograms into multimode waveguides allows the implementation of arbitrary unitary mode transformations and unitary matrix–vector multiplication. Theoretical analysis is used to justify a design approach to implement specific functions in these devices. Based on this approach, a compact mode-order converter, a Hadamard transformer, and a spatial pattern generator–correlator are proposed and analyzed. Beam propagation simulations are used to verify the theoretical calculations and to address bandwidth, scalability, and fabrication criteria. Optical pattern generators were successfully fabricated using standard photolithographic techniques to demonstrate the feasibility of the devices.
© 2006 Optical Society of America
OCIS Codes
(070.4550) Fourier optics and signal processing : Correlators
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(090.1760) Holography : Computer holography
(090.7330) Holography : Volume gratings
(130.3120) Integrated optics : Integrated optics devices
(200.4860) Optics in computing : Optical vector-matrix systems
History
Original Manuscript: July 12, 2005
Manuscript Accepted: January 6, 2006
Citation
Shuo-Yen Tseng, Younggu Kim, Christopher J. K. Richardson, and Julius Goldhar, "Implementation of discrete unitary transformations by multimode waveguide holograms," Appl. Opt. 45, 4864-4872 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-20-4864
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