Two-dimensional signals and systems. Space-frequency representations. Signal transformations. Linear system formulation of propagation of light through free space, lenses, and lens-like media and their analogy with electrical systems. Analog signal and image processing with optical systems, including transformations, filtering, etc. Alternative mathematical formulations of optical propagation: geometrical optics, scalar wave theory, phase-space approaches, variational and Hamiltonian formulation, operator algebras. Invariants and conservation laws.
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Review of signals, systems, transformations I Review of signals, systems, transformations II Time-frequency and space-frequency representations Linear canonical transformations Fractional Fourier transformations Review of rays optics and wave optics Fourier optics Advanced formulations of wave propagation Phase-space optics Invariants and conservation laws Optical processing of information I Optical processing of information II Selected topics I Selected topics II ECTS - Workload Table: Activities Number Hours Workload Course hours 14 3 42 Preparation for Final exam 1 25 25 Homework 5 5 25 Final exam 1 3 3 Preparation for Midterm exam 1 22 22 Midterm exam 1 2 2 Project (including preparation and presentation if applicable) 1 35 35 Total Workload: 154 Total Workload / 30: 154 / 30 5.13 ECTS Credits of the Course: 5 Type of Course: Lecture - Project Course Material: Written - Lecture Notes Teaching Methods: Lecture - Assignment - Presentations