In this paper we present technical evolution at Physical Optics Corporation (POC), from Fourier Optics, inspired by Professor Joseph Goodman's classic book: Introduction to Fourier Optics, to recent directions at POC, related to socalled "Integrative Engineering.". Thus, devising practical Fourier optics simulations becomes an act of balancing acceptable sampling artifacts and available computer resources. This chapter begins to address this matter with discussions of the sampling of continuous functions, the Shannon-Nyquist sampling theorem, and the concept of effective bandwidth. Looking at optics with Fourier analysis. Jeff Korn. Fourier Series and Optical Transform Techniques in Contemporary Optics, An Introduction. Raymond G. Wilson, John Wiley and Sons, New York, NY, , pages, $ Fourier analysis permeates every branch of engineering and science. Abstract. We discuss (linear) geometrical optics and its scalar wave counterpart, Fourier optics, as a natural outgrowth of the group theoretical machinery emanating from the symplectic structure of (optical) phase space, as it derives from the Fermat principle.

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Fourier optics is the study of classical optics using Fourier transforms (FTs), in which the waveform being considered is regarded as made up of a combination, or superposition, of plane has some parallels to the Huygens–Fresnel principle, in which the wavefront is regarded as being made up of a combination of spherical wavefronts whose sum is the wavefront being studied. The intense laser power required to measure nonlinear effects can damage the structures upon measuring. We demonstrate that fast Fourier-transform second-harmonic generation (FFT-SHG) technique provides an elegant solution to obtain polarization patterns of degrading structures. Additional Physical Format: Online version: Steward, E.G. (Edward G.), Fourier optics. Chichester, West Sussex: E. Horwood ; New York: Halsted Press,