8/6/2023 0 Comments Phase coherence meterCorrelation singularities in partially coherent electromagnetic beams. The structure of partially coherent fields. Bell's measure in classical optical coherence. Unified theory of coherence and polarization of random electromagnetic beams. Introduction to the Theory of Coherence and Polarization of Light (Cambridge Univ. Principles of Optics: Electromagnetic Theory of Propagation, Interference and Diffraction of Light (Cambridge Univ. Optical Coherence and Quantum Optics (Cambridge Univ. Above the coherence length, interference patterns start to fade.Mandel, L. The length scales above are called coherence lengths. Since all light contains a range of frequencies, it is impossible to have exactly the same frequency, and the effect is noticeable after some length scale. Quantumly, if you're considering photon emission, it satisfies the uncertainty principle $\Delta E \Delta t > \hbar$, which gives you the same thing. Classically, if you look at an EM wave, it satisfies an uncertainty principle of the form $\Delta \omega \Delta t > 1$ for the same Fourier-transform reasons that the usual uncertainty principle holds.
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