Implementation of discrete unitary transformations by multimode waveguide holograms

Shuo Yen Tseng, Younggu Kim, Christopher J.K. Richardson, Julius Goldhar

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)4864-4872
Number of pages9
JournalApplied optics
Issue number20
Publication statusPublished - 2006 Jul 10

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Engineering (miscellaneous)
  • Electrical and Electronic Engineering


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