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- Haldun Memduh Ozaktas, M. Alper Kutay
- 2001 European Control Conference (ECC)
- 2001

A brief introduction to the fractional Fourier transform and its properties is given. Its relation to phase-space representations (time- or space-frequency representations) and the concept ofâ€¦ (More)

- Haldun Memduh Ozaktas, Aykut KoÃ§, Ilkay Sari, M. Alper Kutay
- Optics letters
- 2006

We present a fast NlogN time algorithm for computing quadratic-phase integrals. This three-parameter class of integrals models propagation in free space in the Fresnel approximation, passage throughâ€¦ (More)

- Aykut KoÃ§, Haldun Memduh Ozaktas, Lambertus Hesselink
- Journal of the Optical Society of America. Aâ€¦
- 2010

We report a fast and accurate algorithm for numerical computation of two-dimensional non-separable linear canonical transforms (2D-NS-LCTs). Also known as quadratic-phase integrals, this class ofâ€¦ (More)

- Figen S. Oktem, Haldun Memduh Ozaktas
- Journal of the Optical Society of America. Aâ€¦
- 2010

Linear canonical transforms (LCTs) form a three-parameter family of integral transforms with wide application in optics. We show that LCT domains correspond to scaled fractional Fourier domains andâ€¦ (More)

- Haldun Memduh Ozaktas
- Applied optics
- 1997

Various issues pertaining to the physical construction of systems that are based on regularly interconnected device planes, such as heat removal and extensibility of the optical interconnections forâ€¦ (More)

- Haldun Memduh Ozaktas, Serdar YÃ¼ksel, M. Alper Kutay
- Journal of the Optical Society of America. Aâ€¦
- 2002

A linear algebraic theory of partial coherence is presented that allows precise mathematical definitions of concepts such as coherence and incoherence. This not only provides new perspectives andâ€¦ (More)

The original definition of the derivatives of a function makes sense only for integral orders, i.e. we can speak of the first or second derivative and so on. However, it is possible to extend theâ€¦ (More)

- David Mendlovic, Haldun Memduh Ozaktas, Adolf W. Lohmann
- Applied optics
- 1995

Recently, optical interpretations of the fractional-Fourier-transform operator have been introduced. On the basis of this operator the fractional correlation operator is defined in two different waysâ€¦ (More)

The optical and digital implementations of general linear systems are costly. Through several examples we show that either exact realizations or useful approximations of these systems may beâ€¦ (More)

- Aysegul Sahin, M. Alper Kutay, Haldun Memduh Ozaktas
- Applied optics
- 1998

Previous generalizations of the fractional Fourier transform to two dimensions assumed separable kernels. We present a nonseparable definition for the two-dimensional fractional Fourier transformâ€¦ (More)