Browsing Electrical, Electronic and Communications Engineering Research Collection by Subject "Geometrical optics"

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Browsing Electrical, Electronic and Communications Engineering Research Collection by Subject

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Digital computation of the complex linear canonical transform

Liu, Changgeng ; Wang, Dayong ; Healy, John J. ; Hennelly, Bryan M. ; Sheridan, John T. ; Kim, Myung K. (Optical Society of America, 2011-07-01)

An efficient algorithm for the accurate computation of the linear canonical transform with complex transform parameters and with complex output variable is presented. Sampling issues are discussed and the requirements for ...
Fast linear canonical transforms

Healy, John J. ; Sheridan, John T. (Optical Society of America, 2010-01-01)

The linear canonical transform provides a mathematical model of paraxial propagation though quadratic phase systems. We review the literature on numerical approximation of this transform, including discretization, sampling, ...
Space-bandwidth ratio as a means of choosing between Fresnel and other linear canonical transform algorithms

Healy, John J. ; Sheridan, John T. (Optical Society of America, 2011-05-01)

The product of the spatial and spatial frequency extents of a wave field has proven useful in the analysis of the sampling requirements of numerical simulations. We propose that the ratio of these quantities is also ...