Crossover networks and their optical implementation

Jahns, Jürgen; Murdocca, Miles J.

doi:10.1364/ao.27.003155

Cited by 136 publications

(20 citation statements)

References 10 publications

(8 reference statements)

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“…The method requires extension if it is to be applied to networks where the link permutations are not restricted to the class of bit-shuffling permutations, such as the crossover network [16], because of difficulties caused by a phenomenon the author calls tramline twisting. This will be the subject of a future paper.…”

Section: Discussionmentioning

confidence: 99%

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A systematic analysis of equivalence in multistage networks

Collier

2002

J. Lightwave Technol.

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Abstract-Many approaches to switching in optoelectronic and optical networks decompose the switching function across multiple stages or hops. This paper addresses the problem of determining whether two multistage or multihop networks are functionally equivalent. Various ad-hoc methods have been used in the past to establish such equivalences. A systematic method for determining equivalence is presented based on properties of the link permutations used to interconnect stages of the network. This method is useful in laying out multistage networks, in determining optimal channel assignments for multihop networks, and in establishing the routing required in such networks. A purely graphical variant of the method, requiring no mathematics or calculations, is also described.Index Terms-Multistage interconnection networks, networks, optical interconnections.

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Section: Discussionmentioning

confidence: 99%

“…The equivalence of these two networks was established by Wu and Feng in [7]. 5 In general, it may easily be shown that (16) A computer program implementing this formula can readily calculate the transformations for arbitrarily large switches.…”

Section: B Equivalence Of the Butterfly Network And The Omega Networkmentioning

confidence: 99%

A systematic analysis of equivalence in multistage networks

Collier

2002

J. Lightwave Technol.

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“…Figure 2: Arrays of optical logic gates are interconnected with optical crossovers [6]. Fixed masks in the image planes block light at selected locations which customize the system for peiflc logic functions such as addition or sorting.…”

Section: Interconnect Mask Logicmentioning

confidence: 99%

“…Fixed masks in the image planes block light at selected locations which customize the system for peiflc logic functions such as addition or sorting. Figure 3 shows a schematic diagram of the optical crossover interconnect [6], which is one of a number of demonstrated methods of interconnection that is suitable for this model. An array of input beams is split into two identical copies.…”

Section: Interconnect Mask Logicmentioning

confidence: 99%

Novel Optical Computer Architecture Utilizing Reconfigurable Interconnects

Murdocca¹,

Gerasoulis²,

Levy³

1991

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Unlimited distribution ABSTRACT (Maxrnim 200 words)This final report describes progress made by TIS Incorporated for the period 7/1/91 -10/1/91 on SBIR contract F49620-9 1 -C-0055 toward the development of novel optical computer architectures and supporting methods for exploiting free-space reconfigurable interconnects. Major findings include: (1) Reconfigurable interconnects can reconfigure slower than the bit rate and still improve performance as long as throughput is maintained after reconfiguration; (2) A fixed control sequence does not preclude the use of runtime conditionals, so that the performance of traditional general purpose computing can be improved; (3) A system that uses reconfigurable interconnects is likely to be larger than a functionally equivalent system that does not use reconfigurable interconnects; (4) A reconfigurable approach is most effective for a small active portion of a computer, and is not needed for an entire computer in order to appreciate a performance gain; (5) A reconfigurable interconnect S technology can have a significant impact on interconnection networks used in parallel processors; (6) A fixed control sequence must have some level of repetition in order to be practical; and (7) The dataflow model of computing, which theoretically supports maximum parallelism but suffers performance sacrifices in electronic implementations, may be significantly improved since the architecture can be modified to suit the dataflow graph. 299-01 GENERAL INSTRUCTIONS FOR COMPLETING SF 298The Report Documentation Page (RDP) is used in announcing and cataloging reports. It is important that this information be consistent with the rest of the report, particularly the cover and title page. Instructions for filling in each block of the form follow. It is important to stay within the lines to meet optical scanning requirements. ABSTRACT This final report describes progress made by TIS Incorporated for the period 7/1/91 -10/1/91 on SBIR contract F49620-91-C-0055 toward the development of novel optical computer architectures and supporting methods for exploiting free-space reconfigurable interconnects.Major findings include: (1) Reconfigurable interconnects can reconfigure slower than the bit rate and still improve performance as long as throughput is maintained after reconfiguration; (2) A fixed control sequence does not preclude the use of runtime conditionals, so that the performance of traditional general purpose computing can be improved; (3) A system that uses reconfigurable interconnects is likely to be larger than a functionally equivalent system that does not use reconfigurable interconnects; (4) A reconfigurable approach is most effective for a small active portion of a computer, and is not needed for an entire computer in order to appreciate a performance gain; (5) A reconfigurable interconnect technology can have a significant impact on interconnection networks used in parallel processors; (6) A fixed control sequence must have some level of repetition in order to be practical; and (7) ...

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“…In this section we mention works that deal with the optical interconnections only, without consideration of the overall computing system architecture [30,31,32,33,34,35,36,37,38,39,40,41]. These studies concentrate primarily on optical systems to image arrays of sources onto arrays of detectors in an efficient manner.…”

Section: Architectures For Free-space Opticsmentioning

confidence: 99%

Fundamentals of optical interconnections-a review

Özaktaş

Proceedings of the Fourth International Conference on Massively Parallel Processing Using Optical Interconnections

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We review some of the relatively fundamental work in the area of optically interconnected digital computing systems. We cover comparisons of optical interconnections with other interconnection media in terms of energy and interconnection density, studies determining the optimal combination of optical and electrical interconnections that should be used, work on free-space optical interconnection architectures, complexity studies, and work on physical and logical system architectures and algorithms. We exclude work on devices, components, materials, and manufacturing.

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Crossover networks and their optical implementation

Cited by 136 publications

References 10 publications

A systematic analysis of equivalence in multistage networks

A systematic analysis of equivalence in multistage networks

Novel Optical Computer Architecture Utilizing Reconfigurable Interconnects

Fundamentals of optical interconnections-a review

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