Journal ArticleDOI
Van Cittert-Zernike theorem for quasihomogeneous wavefields and the modified Debye integral
H M Pedersen,J J Stamnes +1 more
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TLDR
In this article, a generalized van Cittert-Zernike theorem was proposed to describe the spatial coherence of wave fields with respect to the source radiance in a generalized quasihomogeneous wave model.Abstract:
The analogy between the van Cittert-Zernike theorem and diffraction in focal regions is discussed. For wavefields that can be approximated by a generalized quasihomogeneous wave model, the spatial coherence is described by a generalized van Cittert-Zernike theorem even close to the source. The main difference between the classical and the generalized theorem is that the source intensity in the former is replaced by the source radiance in the direction of the observation point in the latter. The spatial coherence is related to the source radiance by a modified Debye integral, which implies that the wave energy is propagated according to the laws of classical radiometry. No assumption of source incoherence is involved, and the results apply to radiation from both primary sources and secondary sources like rough scattering objects or illuminated apertures in optical systems.read more
Citations
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Journal Article
The concept of degree of coherence and its application to optical problems
TL;DR: In this article, the maximum visibility of the interferences obtainable from two points in a wave field is defined as their degree of coherence γ, which depends only on the aperture of the illuminating cone.
Journal Article
A macroscopic theory of interference and diffraction of light from finite sources. I, Fields with a narrow spectral range
TL;DR: In this paper, a macroscopic theory of interference and diffraction of light in stationary fields produced by finite sources which emit light within a finite spectral range is formulated, and a generalized Huygens principle may be obtained for such fields, which involves only observable quantities.
Journal ArticleDOI
Radiometric theory of spatial coherence in free-space propagation
TL;DR: The radiometric theory of spatial coherence is presented with special attention to the validity of the approximations on which it is based and a new definition of the transverse coherence area is introduced and shown to be in general agreement with earlier definitions.
Tight Focusing of Optical Beams; A Review - Part 1
TL;DR: In this article, the role of amplitude-, phase-, and polarization distribution on the tightly focused structure of the optical beams is reviewed. And some applications in which tight focusing is desired are briefly discussed.
Journal Article
The concept of partial coherence in optics
TL;DR: In this article, it was shown that the diameter of the area of coherence on a plane illuminated by a source of angular radius α is given by d = 0.16λ/N sin α, where N is the refractive index of the intervening medium.
References
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Journal ArticleDOI
Introduction to Fourier Optics
Joseph W. Goodman,Mary E. Cox +1 more
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
Introduction to Fourier optics
TL;DR: The second edition of this respected text considerably expands the original and reflects the tremendous advances made in the discipline since 1968 as discussed by the authors, with a special emphasis on applications to diffraction, imaging, optical data processing, and holography.
Book
An introduction to the theory of random signals and noise
TL;DR: The aim of this book is to clarify the role of noise in the development of linear and nonlinear systems and to provide a procedure forormalising the noise generated by these systems.
Journal ArticleDOI
The concept of degree of coherence and its application to optical problems
TL;DR: In this article, the maximum visibility of the interferences obtainable from two points in a wave field is defined as their degree of coherence γ, which depends only on the aperture of the illuminating cone.
Journal ArticleDOI
Radiometry and coherence
TL;DR: The basic laws of photometry are derived from the theory of partial coherence by considering a generalized form of the Van Cittert-Zernike theorem as discussed by the authors, which is a generalization of the partial-coherence theorem.