SELECTED PUBLICATIONS


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Full List of Publications (ps)

Selected Publications on Optoelectronic and Optically Interconnected Computing Systems

Haldun M. Ozaktas. ``Towards an Optimal Foundation Architecture for Optoelectronic Computing, Part I: Regularly Interconnected Device Planes, Part II: Physical Construction and Application Platforms.'' Applied Optics, 36:5682-5696 & 5697-5705, 1997.

Haldun M. Ozaktas and Joseph W. Goodman. ``Elements of a hybrid interconnection theory.'' Applied Optics, 33:2968-2987, 1994.

Haldun M. Ozaktas and Joseph W. Goodman. ``The limitations of interconnections in providing communication between an array of points.'' In Stuart K. Tewksbury, editor, Frontiers of Computing Systems Research, Volume 2, pages 61-130 (chapter 2). Plenum Press, New York, 1991.

Haldun M. Ozaktas. ``Levels of abstraction in computing systems and optical interconnection technology.'' In Pascal Berthome and Afonso Ferreira, editors, Optical Interconnections and Parallel Processing: Trends at the Interface, pages 1-18 (chapter 1). Kluwer Academic Publishers, Dordrecht, The Netherlands, 1998.

D. A. B. Miller and H. M. Ozaktas. ``Limit to the bit-rate capacity of electrical interconnects from the aspect ratio of the system architecture.'' Journal of Parallel and Distributed Computing, 41:42-52, 1997.

Haldun M. Ozaktas and David A. B. Miller. ``Digital Fourier optics.'' Applied Optics, 35:1212-1219, 1996.

Haldun M. Ozaktas and Joseph W. Goodman. ``Comparison of local and global computation and its implications for the role of optical interconnections in future nanoelectronic systems.'' Optics Communications, 100:247-258, 1993.

Haldun M. Ozaktas, Hakan Urey, and Adolf W. Lohmann. ``Scaling of diffractive and refractive lenses for optical computing and interconnections.'' Applied Optics, 33:3782-3789, 1994.

Haldun M. Ozaktas and David Mendlovic. ``Multi-stage optical interconnection architectures with least possible growth of system size.'' Optics Letters, 18:296-298, 1993.

Haldun M. Ozaktas. ``Paradigms of connectivity for computer circuits and networks.'' Optical Engineering, 31:1563-1567, 1992.

Haldun M. Ozaktas, Hakan Oksuzoglu, R. F. W. Pease, and Joseph W. Goodman. ``Effect on scaling of heat removal requirements in three-dimensional systems.'' International Journal of Electronics, 73:1227-1232, 1992.

Selected Publications on the Fractional Fourier Transform

Brief Description of the Fractional Fourier Transform: The fractional powers F^a of the ordinary Fourier transform operation F correspond to rotation by angles a*pi/2 in the time-frequency or space-frequency plane (phase space), and have many applications in signal processing and optics. So-called fractional Fourier domains correspond to oblique axes in the time-frequency plane, and thus the transform is directly related to the Radon transforms of the Wigner distribution and the ambiguity function. Of particular interest from a signal processing perspective is the concept of filtering in fractional Fourier domains. Physically, the transform is intimately related to wave and beam propagation and to the quantum-mechanical harmonic oscillator.

Of General Interest:

Haldun M. Ozaktas, Billur Barshan, David Mendlovic, and Levent Onural. ``Convolution, filtering, and multiplexing in fractional Fourier domains and their relation to chirp and wavelet transforms.'' Journal of the Optical Society of America A, 11:547-559, 1994.

M. Alper Kutay, M. Fatih Erden, Haldun M. Ozaktas, Orhan Arikan, Ozgur Guleryuz, and Cagatay Candan. ``Space-bandwidth-efficient realizations of linear systems.'' Optics Letters, 23:1069-1071, 1998.

Haldun M. Ozaktas, M. Alper Kutay, and Zeev Zalevsky. The Fractional Fourier Transform with Applications in Optics and Signal Processing. John Wiley & Sons, 2000.

Haldun M. Ozaktas, M. Alper Kutay, and David Mendlovic. ``Introduction to the fractional Fourier transform and its applications.'' In Peter W. Hawkes, editor, Advances in Imaging and Electron Physics, Volume 106, pages 239-291 (chapter 4). Academic Press, San Diego, California, 1999.

M. Alper Kutay, Hakan Ozaktas, Haldun M. Ozaktas, and Orhan Arikan. ``The Fractional Fourier Domain Decomposition (FFDD).'' Signal Processing, to appear, 1999.

Of Special Interest for Signal Processing:

Haldun M. Ozaktas, Orhan Arikan, M. Alper Kutay, and Gozde Bozdagi. ``Digital computation of the fractional Fourier transform.'' IEEE Transactions on Signal Processing, 44:2141-2150, 1996.

M. Alper Kutay, Haldun M. Ozaktas, Orhan Arikan, and Levent Onural. ``Optimal filtering in fractional Fourier domains.'' IEEE Transactions on Signal Processing, 45:1129-1143, 1997.

M. Alper Kutay and Haldun M. Ozaktas. ``Optimal image restoration with the fractional Fourier transform.'' Journal of the Optical Society of America A, 15:825-833, 1998.

Billur Barshan, M. Alper Kutay, and Haldun M. Ozaktas. ``Optimal filtering with linear canonical transformations.'' Optics Communications, 135:32-36, 1997.

M. Fatih Erden and Haldun M. Ozaktas. ``Synthesis of general linear systems with repeated filtering in consecutive fractional Fourier domains.'' Journal of the Optical Society of America A, 15:1647-1657, 1998.

M. Fatih Erden, M. Alper Kutay, and Haldun M. Ozaktas. ``Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration.'' IEEE Transactions on Signal Processing, 47:1458-1462, 1999.

Haldun M. Ozaktas and Orhan Aytur. ``Fractional Fourier domains.'' Signal Processing, 46:119-124, 1995.

David Mendlovic, Zeev Zalevsky, and Haldun M. Ozaktas. ``Applications of the fractional Fourier transform to optical pattern recognition.'' In Francis T. S. Yu and Suganda Jutamulia, editors, Optical Pattern Recognition, pages 89-125 (chapter 4). Cambridge University Press, Cambridge, 1998.

David Mendlovic, Haldun M. Ozaktas, and Adolf W. Lohmann. ``Fractional correlation.'' Applied Optics, 34:303-309, 1995.

Of Special Interest for Optics:

Haldun M. Ozaktas and David Mendlovic. ``Fractional Fourier optics.'' Journal of the Optical Society of America A, 12:743-751, 1995.

Haldun M. Ozaktas and M. Fatih Erden. ``Relationships among ray optical, Gaussian beam, and fractional Fourier transform descriptions of first-order optical systems.'' Optics Communications, 143:75-86, 1997.

Haldun M. Ozaktas and David Mendlovic. ``Fractional Fourier transform as a tool for analyzing beam propagation and spherical mirror resonators.'' Optics Letters, 19:1678-1680, 1994.

Haldun M. Ozaktas and David Mendlovic. ``Every Fourier optical system is equivalent to consecutive fractional-Fourier-domain filtering.'' Applied Optics, 35:3167-3170, 1996.

Aysegul Sahin, Haldun M. Ozaktas, and David Mendlovic. ``Optical implementations of two-dimensional fractional Fourier transforms and linear canonical transforms with arbitrary parameters.'' Applied Optics, 37:2130-2141, 1998.

Haldun M. Ozaktas and David Mendlovic. ``Fourier transforms of fractional order and their optical interpretation.'' Optics Communications, 101:163-169, 1993.

Other Selected Publications

M. Fatih Erden and Haldun M. Ozaktas. ``Accumulated Gouy phase shift in Gaussian beam propagation through first-order optical systems.'' Journal of the Optical Society of America A, 14:2190-2194, 1997.

Haldun M. Ozaktas and Hakan Urey. ``Space-bandwidth product of conventional Fourier transforming systems.'' Optics Communications, 104:29-31, 1993.

Haldun M. Ozaktas and Joseph W. Goodman. ``The optimal electromagnetic carrier frequency balancing structural and metrical information densities with respect to heat removal requirements.'' Optics Communications, 94:13-18, 1992.

Haldun M. Ozaktas and Joseph W. Goodman. ``Lower bound for the communication volume required for an optically interconnected array of points.'' Journal of the Optical Society of America A, 7:2100-2106, 1990.

Haldun M. Ozaktas and Martin C. Nuss. ``Time-variant linear pulse processing.'' Optics Communications, 131:114-118, 1996.