Linear Canonical Transforms: Theory and Applications - Softcover

Inhaltsangabe

Foreward.- PART I : Fundamentals.- Development of linear canonical transforms - a historical sketch.- The linear canonical transformation: definition and properties.- Eigenfunctions of the linear canonical transform.- Uncertainty principles and the linear canonical transform.- The linear canonical transformations in classical optics.- Optical Implementation of Linear Canonical Transforms.- PART II : Discretization and Computation.- Linear canonical domains and degrees of freedom of signals and systems.- Sampling and discrete linear canonical transforms.- Self-imaging and discrete paraxial optics.- Fast algorithms for digital computation of linear canonical transforms.- PART III : Applications.- Deterministic phase retrieval using the LCT.- Analyzing digital holographic systems with the LCT.- Double random phase encoding based optical encryption systems using some linear canonical transforms: weaknesses and countermeasures.- Complex valued ABCD Matrices.- Linear canonical transforms on quantum states of light.

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