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Show that a pulsed spherical wave has a complex wavefunction of the form U(r,t) = (1/r)a(t-r/c) where a(t) is an arbitrary function. An ultrashort optical pulse has a complex wavefunction with a central frequency corresponding to a wavelength λ0 = 585nm and a Gaussian envelope of rms width σ1 = 6fs. How many cycles are contained within the pulse width? If the pulse propagates in free space as a spherical wave initiated at the origin at t = 0, describe the spatial distribution of the intensity as a function of the radial distance at time t = 1ps.
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Volumes (mL) of Solution 0.20M 0.20M 0.010M 2% 0.20M 0.20M NaI NaCl Na2S2O3 Starch K2SO4 K2S2O8 ?2ml 2ml 2ml 1ml 2ml 2ml ?2ml 2ml 2ml 1ml 0ml 2ml ?4ml 0ml 2ml 1ml 2ml 2ml Time Exp
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