OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 18 — Jun. 20, 2013
  • pp: 4412–4418

Design and experimental verification for optical module of optical vector–matrix multiplier

Weiwei Zhu, Lei Zhang, Yangyang Lu, Ping Zhou, and Lin Yang  »View Author Affiliations

Applied Optics, Vol. 52, Issue 18, pp. 4412-4418 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (1056 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Optical computing is a new method to implement signal processing functions. The multiplication between a vector and a matrix is an important arithmetic algorithm in the signal processing domain. The optical vector–matrix multiplier (OVMM) is an optoelectronic system to carry out this operation, which consists of an electronic module and an optical module. In this paper, we propose an optical module for OVMM. To eliminate the cross talk and make full use of the optical elements, an elaborately designed structure that involves spherical lenses and cylindrical lenses is utilized in this optical system. The optical design software package ZEMAX is used to optimize the parameters and simulate the whole system. Finally, experimental data is obtained through experiments to evaluate the overall performance of the system. The results of both simulation and experiment indicate that the system constructed can implement the multiplication between a matrix with dimensions of 16 by 16 and a vector with a dimension of 16 successfully.

© 2013 Optical Society of America

OCIS Codes
(070.4560) Fourier optics and signal processing : Data processing by optical means
(080.1010) Geometric optics : Aberrations (global)
(220.4830) Optical design and fabrication : Systems design

ToC Category:
Optical Design and Fabrication

Original Manuscript: March 29, 2013
Revised Manuscript: May 24, 2013
Manuscript Accepted: May 25, 2013
Published: June 20, 2013

Weiwei Zhu, Lei Zhang, Yangyang Lu, Ping Zhou, and Lin Yang, "Design and experimental verification for optical module of optical vector–matrix multiplier," Appl. Opt. 52, 4412-4418 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. H. J. Caulfield and S. Dolev, “Why future supercomputing requires optics,” Nat. Photonics 4, 261–263 (2010). [CrossRef]
  2. C. K. Gary, “Comparison of optics and electronics for the calculation of matrix-vector products,” Proc. SPIE 1704, 544–555 (1992). [CrossRef]
  3. J. W. Goodman, A. R. Dias, and L. M. Woody, “Fully parallel, high-speed incoherent optical method for performing discrete Fourier transforms,” Opt. Lett. 2, 1–3 (1978). [CrossRef]
  4. N. T. Shaked, T. Tabib, G. Simon, S. Messika, S. Dolev, and J. Rosen, “Optical binary-matrix synthesis for solving bounded NP-complete combinatorial problems,” Opt. Eng. 46, 108201 (2007). [CrossRef]
  5. C. K. Gary, “Matrix-vector multiplication using digital partitioning for more accurate optical computing,” Appl. Opt. 31, 6205–6211 (1992). [CrossRef]
  6. D. Casasent and J. Jackson, “Space and frequency-multiplexed optical linear algebra processor: fabrication and initial tests,” Appl. Opt. 25, 2258–2263 (1986). [CrossRef]
  7. M. Gruber, “Multichip module with planar-integrated free-space optical vector-matrix-type interconnects,” Appl. Opt. 43, 463–470 (2004). [CrossRef]
  8. J. A. Carter, D. R. Pape, P. A. Wasilousky, and T. A. Sunderlin, “High-performance optical vector-matrix coprocessor,” Proc. SPIE 2297, 225–236 (1994). [CrossRef]
  9. P. Le, D. Y. Zang, and Chen S. Tsai, “Integrated electrooptic Bragg modulator modules for matrix-vector and matrix-matrix multiplications,” App. Opt. 27, 1780–1785 (1988). [CrossRef]
  10. R. Yeh and A. E. T. Chiou, “Optical matrix-vector multiplication through four wave mixing in photorefractive media,” Opt. Lett. 12138–140 (1987). [CrossRef]
  11. L. J. Cheng and G. Gheen, “Matrix-vector multiplication in thin photorefractive GaAs crystals,” Appl. Opt. 27, 4236–4238 (1988). [CrossRef]
  12. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Publishing House of Electronics Industry, 2006), Chap. 8, p. 206.
  13. Y. M. Zhang, Applied Optics (Publishing House of Electronics Industry, 2008).
  14. X. C. Yuan, Optical Design (Science, 1983).
  15. M. Born and E. Wolf, Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge University, 1999).
  16. ZEMAX, Optical Design Program, User’s Guide (ZEMAX, 2007).
  17. J. M. Geary, Introduction to Lens Design with Practical ZEMAX Examples (Willmann-Bell, 2002).
  18. M. Kamal, S. Narayanswamy, and M. Packirisamy, “Optical design of a line-focused forward-viewing scanner for optical coherence tomography,” Appl. Opt. 49, 6170–6178 (2010). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited