Solid lines are normalized mean intensity 〈I 1,ω〉 in the focal region for G = 10 and different values of ν and σ. Dashed lines are , which is the result for no phase screen.
Solid lines are normalized mean intensity 〈I 2〉 in the focal region for G = 10 and different values of ν and σ. Dashed lines are , which is the result for no phase screen.
Numerical simulations of the field in the focal plane for G = 10, σ = 0.2, and v = 0 (no phase screen, first column), ν = 2 (second column), and ν = 5 (third column). First row shows the circle corresponding to source radius r = a and two realizations of the phase shading in the source plane, and subsequent rows show I 1,ω (second row), I 1,2ω (third row), and I 2 (fourth row).
Comparison of statistical solutions (solid lines) with numerical averages obtained from Fig. 3 (dotted lines). Dashed lines are solutions for no phase screen. The error bars in (d) and (h) indicate the standard deviations of the individual realizations that were averaged to produce the dotted lines in (c) and (g), respectively.
Solid lines are CSL evaluated for different values of G and ν. Dashed lines are limiting values for ν = ∞.
Contributions to CSL(0) from the second harmonic generated before the phase screen as a function of phase screen location ζph for ν = 5 and several values of G.
(a) Dependence of W 2 (solid line) on phase screen location for G = 5 and v = 5. Dashed lines separate out contributions to W 2 from the second harmonic generated before versus after the phase screen. (b) Corresponding dependence of CSL(0) (solid line) on phase screen location, with dashed lines for CSL< and CSL>. (c) Dependence of CSL on distance off axis.
Comparison of statistical solutions 〈I 1,2ω〉 (left column) and 〈I 2〉 (right column) at different phase screen locations for G = 5 and ν = 5.
Comparison of CSL B with CSL(0), with the latter given by Eq. (61), for G = 5 and ν = 5.
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