Abstract
Directional coupler (DC)-based optical switching networks can switch signals at the rate of several terabits per second. Benes networks are widely employed for their small depth and self-routing capability. Crosstalk between two optical signals passing through the same DC is an intrinsic drawback in DC-based optical networks. Vertical stacking of multiple copies of an optical Benes network has been intensively studied by researchers to build non-blocking optical networks. The resulting network is called vertically stacked optical Benes network (VSOBN). However, no rigorous analysis has been done to predict the behavior of VSOBN. In this paper, we study the deterministic conditions for strictly non-blocking VSOBN with and without worst case scenarios. We further analyze the blocking probabilities of VSOBN networks under a fixed load and develop their upper bound with respect to the number of planes in the networks. These performance measures can be used to predict the performance of VSOBN.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Pan, Y., Qiao, C., Yang, Y.: Optical multistage interconnection networks: new challenges and approaches. IEEE comm. Magazine 37(2) (February 1999)
Pan, Y., Qiao, C., Yang, Y., Wu, J.: Recent Developments in Optical Multistage Networks. In: Ruan, L., Du, D.-Z. (eds.) Optical Networks - Recent Advances, September 2001, pp. 151–185. Kluwer Academic Publisher, Dordrecht (2001)
Tocci, C., Caulfield, H.J.: Optical Interconnection – Foundations and Applications. Artech House Publishers (1994)
Hinton, H.S.: An Introduction to Photonic Switching Fabrics. Plenum, New York (1993)
Benes, V.E.: Mathematical Theory of Connecting Networks and Telephone Traffic. Academic Press, New York (1965)
Vaez, M.M., Lea, C.-T.: Strictly nonblocking directional-coupler-based switching networks under crosstalk constraint. IEEE Trans. Commun. 48, 316–323 (2000)
Vaez, M.M., Lea, C.-T.: Wide sense nonblocking banyan-type switching systems based on directional couplers. IEEE J. Select. Areas Commun. 16, 1327–1332 (1998)
Jiang, X., Shen, H., Khandker, M., Horiguchi, S.: Blocking Behaviors of Crosstalk-Free Optical Banyan Networks on Vertical Stacking. IEEE/ACM Trans. Networking 11(6) (December 2003)
Chinni, V.R., et al.: Crosstalk in a lossy directional coupler switch. J. Lightwave Technol. 13, 1530–1535 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zhong, J., Pan, Y. (2005). An Upper Bound on Blocking Probability of Vertical Stacked Optical Benes Networks. In: Pan, Y., Chen, D., Guo, M., Cao, J., Dongarra, J. (eds) Parallel and Distributed Processing and Applications. ISPA 2005. Lecture Notes in Computer Science, vol 3758. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11576235_29
Download citation
DOI: https://doi.org/10.1007/11576235_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-29769-7
Online ISBN: 978-3-540-32100-2
eBook Packages: Computer ScienceComputer Science (R0)