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Fourier optics begins with the homogeneous, scalar wave equation (valid in source-free regions): (,) = where is the speed of light and u(r,t) is a real-valued Cartesian component of an electromagnetic wave propagating through a free space (e.g., u(r, t) = E i (r, t) for i = x, y, or z where E i is the i-axis component of an electric field E in the Cartesian coordinate system).
Formally, the optical transfer function is defined as the Fourier transform of the point spread function (PSF, that is, the impulse response of the optics, the image of a point source). As a Fourier transform, the OTF is generally complex-valued; however, it is real-valued in the common case of a PSF that is symmetric about its center.
The work gained little attention outside France until Born and Wolf called attention to it in their text, Principles of Optics (1959). [8] A second edition of Duffieux's book was published in 1970 by Masson (Paris) and an English translation appeared in 1983. [9] After the war, Duffieux moved to Besançon and became the chair of optics at the ...
Finite Fourier transform; Fourier integral operator; Fourier operator; Fourier optics; Fourier transform; Fourier transform on finite groups; Fourier–Bros–Iagolnitzer transform; Fourier-transform infrared spectroscopy; Fourier-transform spectroscopy; Fractional Fourier transform; Fractional wavelet transform; Fraunhofer diffraction equation
The Gerchberg-Saxton algorithm. FT is Fourier transform. The Gerchberg–Saxton (GS) algorithm is an iterative phase retrieval algorithm for retrieving the phase of a complex-valued wavefront from two intensity measurements acquired in two different planes. [1]
Fourier series, a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function; Fourier analysis, the description of functions as sums of sinusoids; Fourier transform, the type of linear canonical transform that is the generalization of the Fourier series
All of the results from geometrical optics can be recovered using the techniques of Fourier optics which apply many of the same mathematical and analytical techniques used in acoustic engineering and signal processing. Gaussian beam propagation is a simple paraxial physical optics model for the propagation of coherent radiation such as laser ...
Fourier transform infrared spectroscopy (FTIR) [1] is a technique used to obtain an infrared spectrum of absorption or emission of a solid, liquid, or gas. An FTIR spectrometer simultaneously collects high-resolution spectral data over a wide spectral range.