Implications of interconnection theory for optical digital computing.

Heat removal, rather than finite interconnect density, is the major mechanism that limits how densely we can pack three-dimensional computing systems of increasing numbers of elements. Thus highly interconnected approaches can be employed without a further increase in system size. The use of optical interconnections for implementing the longer connections of such systems is advantageous. In fact, if the optical communication energy is sufficiently low and large-bit repetition rates are employed, conductors are useful for only the shortest connections and can be dispensed with altogether with little disadvantage. This justifies consideration of an optical digital computer.

[1]  Kelvin H. Wagner,et al.  Digital computing with optics , 1989 .

[2]  Joseph W. Goodman,et al.  The Limitations of Interconnections in Providing Communication Between an Array of Points , 1991 .

[3]  T. Toffoli,et al.  Conservative logic , 2002, Collision-Based Computing.

[4]  Jeffrey D Ullma.  Computational Aspects of VLSI , 1984 .

[5]  P. W. Smith,et al.  On the physical limits of digital optical switching and logic elements , 1982, The Bell System Technical Journal.

[6]  R. Landauer.  Uncertainty principle and minimal energy dissipation in the computer , 1982 .

[7]  J W Goodman,et al.  Optical imaging applied to microelectronic chip-to-chip interconnections. , 1985, Applied optics.

[8]  Roy L. Russo.  On the Tradeoff Between Logic Performance and Circuit-to-Pin Ratio for LSI , 1972, IEEE Transactions on Computers.

[9]  H. Kroger,et al.  Applications of superconductivity to packaging , 1989, IEEE Circuits and Devices Magazine.

[10]  A. Huang.  Optical digital computers-devices and architecture , 1988 .

[11]  Charles E. Leiserson,et al.  Area-Efficient VLSI Computation , 1983 .

[12]  Joseph W. Goodman,et al.  A three-dimensional optical interconnection architecture with minimal growth rate of system size , 1991 .

[13]  R.C. Frye,et al.  Analysis of the trade-offs between conventional and superconducting interconnections , 1989, IEEE Circuits and Devices Magazine.

[14]  David A. B. Miller,et al.  Integrated quantum well self-electro-optic effect device: 2 × 2 array of optically bistable switches , 1986 .

[15]  R. Landauer,et al.  The Fundamental Physical Limits of Computation. , 1985 .

[16]  William E. Donath,et al.  Placement and average interconnection lengths of computer logic , 1979 .

[17]  S H Lee,et al.  Comparison between optical and electrical interconnects based on power and speed considerations. , 1988, Applied optics.

[18]  L. Pietronero,et al.  Fractals in Physics: Introductory Concepts , 1988 .

[19]  Robert W. Keyes,et al.  The physics of VLSI systems , 1987, Microelectronics systems design series.

[20]  W. Donath.  Equivalence of memory to Random Logic , 1974 .

[21]  R. Keyes.  Power dissipation in information processing. , 1970, Science.

[22]  R. Keyes.  Communication in computation , 1982 .

[23]  Phillip Christie,et al.  Design And Simulation Of Optically Interconnected Computer Systems , 1988, Other Conferences.

[24]  C C Guest,et al.  Comparison between electrical and free space optical interconnects for fine grain processor arrays based on interconnect density capabilities. , 1989, Applied optics.

[25]  Joseph W. Goodman,et al.  Multiplexed Hybrid Interconnection Architectures , 1992 .

[26]  I. Good,et al.  Fractals: Form, Chance and Dimension , 1978 .

[27]  J Shamir,et al.  Wave particle duality considerations in optical computing. , 1989, Applied optics.

[28]  D. K. Ferry.  Interconnection lengths and VLSI , 1985, IEEE Circuits and Devices Magazine.

[29]  Roy L. Russo,et al.  On a Pin Versus Block Relationship For Partitions of Logic Graphs , 1971, IEEE Transactions on Computers.

[30]  Michael Feuer.  Connectivity of Random Logic , 1982, IEEE Transactions on Computers.

[31]  Joseph W. Goodman,et al.  Comparison of system size for some optical interconnection architectures and the folded multi-facet architecture , 1991 .

[32]  D. Miller,et al.  Optics for low-energy communication inside digital processors: quantum detectors, sources, and modulators as efficient impedance converters. , 1989, Optics letters.

[33]  F.J. Leonberger,et al.  Optical interconnections for VLSI systems , 1984, Proceedings of the IEEE.

[34]  N. H. March,et al.  Order and Chaos in Nonlinear Physical Systems , 1988 .

[35]  William J. Dally,et al.  A VLSI Architecture for Concurrent Data Structures , 1987 .

[36]  W. Donath.  Wire length distribution for placements of computer logic , 1981 .

[37]  J. Goodman,et al.  Lower bound for the communication volume required for an optically interconnected array of points , 1990 .

[38]  J. Goodman.  Optical interconnection for VLSI , 1984 .

[39]  I. A. Shcherbakov,et al.  Non-linear population processes of Er3+ laser levels in chromium-doped garnet crystals , 1990 .