Author
E. Collett
Bio: E. Collett is an academic researcher from United States Department of the Army. The author has contributed to research in topics: DFT matrix & Degree of coherence. The author has an hindex of 2, co-authored 3 publications receiving 241 citations.
Papers
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TL;DR: In this article, it was shown that certain partially coherent model sources whose intensity distribution and degree of coherence are both gaussian will generate the same far-field intensity distributions as a completely coherent laser source.
192 citations
TL;DR: In this paper, an explicit expression for the cross-spectral density function of the light in any cross-section perpendicular to the axis of a beam generated by a planar, steady-state, quasi-homogeneous source, whose intensity distribution and degree of spatial coherence are both gaussian, is presented.
56 citations
TL;DR: In this paper, a general Fourier analysis of the Stokes parameters used for extracting the Mueller-Stokes matrix elements is made, and it is shown that by using an elliptically polarized beam in conjunction with a rotating half-wave plate only a d.c. and fourth harmonic terms arise whose coefficients are the Mueller Stokes matrices.
3 citations
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TL;DR: In this paper, a new type of solution of the paraxial wave equation is presented, which encompasses as limiting cases both the diffraction-free beam and the gaussian beam.
817 citations
TL;DR: In this article, it was shown by use of a simple model that in general the state of polarization of a light beam generated by a partially coherent source changes as the beam propagates in free space.
Abstract: It is shown by use of a simple model that in general the state of polarization of a light beam generated by a partially coherent source changes as the beam propagates in free space.
294 citations
TL;DR: In this paper, a new class of partially coherent axially symmetric Gaussian Schell-model (GSM) beams incorporating a new twist phase quadratic in configuration variables is introduced.
Abstract: We introduce a new class of partially coherent axially symmetric Gaussian Schell-model (GSM) beams incorporating a new twist phase quadratic in configuration variables. This phase twists the beam about its axis during propagation and is shown to be bounded in strength because of the positive semidefiniteness of the cross-spectral density. Propagation characteristics and invariants for such beams are derived and interpreted, and two different geometric representations are developed. Direct effects of the twist phase on free propagation as well as on parabolic index fibers are demonstrated. Production of such twisted GSM beams, starting with Li-Wolf anisotropic GSM beams, is described.
292 citations
TL;DR: The Wigner distribution method is shown to be a convenient framework for characterizing Gaussian kernels and their unitary evolution under Sp(2n,openR) action and the nontrivial role played by a phase term in the kernel is brought out.
Abstract: Gaussian kernels representing operators on the Hilbert space scrH=L2(openRn) are studied. Necessary and sufficient conditions on such a kernel in order that the corresponding operator be positive semidefinite, corresponding to a density matrix (cross-spectral density) in quantum mechanics (optics), are derived. The Wigner distribution method is shown to be a convenient framework for characterizing Gaussian kernels and their unitary evolution under Sp(2n,openR) action. The nontrivial role played by a phase term in the kernel is brought out. The entire analysis is presented in a form which is directly applicable to n-dimensional oscillator systems in quantum mechanics and to Gaussian Schell-model partially coherent fields in optics.
250 citations
TL;DR: In this article, it was shown that an exact realization of a Collett-Wolf source is given by a laser oscillating on a suitable superposition of (infinitely many) transverse modes.
216 citations