Fast and accurate computation of two-dimensional non-separable quadratic-phase integrals.

@article{Ko2010FastAA,
  title={Fast and accurate computation of two-dimensional non-separable quadratic-phase integrals.},
  author={Aykut Koç and Haldun Memduh Ozaktas and Lambertus Hesselink},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2010},
  volume={27 6},
  pages={1288-302}
}
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 of integral transforms represents a broad class of optical systems including Fresnel propagation in free space, propagation in graded-index media, passage through thin lenses, and arbitrary concatenations of any number of these, including anamorphic/astigmatic/non-orthogonal cases. The general two… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 53 references

The Wigner distribution function applied to optical signals and systems,

M. J. Bastiaans
Opt. Commun • 1978
View 10 Excerpts
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Fast linear canonical transforms.

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Rotation and gyration of finite two-dimensional modes.

Journal of the Optical Society of America. A, Optics, image science, and vision • 2008

Classification of lossless first-order optical systems and the linear canonical transformation.

Journal of the Optical Society of America. A, Optics, image science, and vision • 2007

Experimental implementation of the gyrator transform.

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