Deconvolution results: (A) The beads shown in Fig.
3A were deconvolved with the ray-traced PSFs based on
the refractive index map computed from Fig. 3B. The line
profiles through the bead centers plot the logarithmic intensities down
to the 10−4 noise level. (Scale bar, 2 μm.)
(B) A quantitative comparison of the effect of various
PSFs on the deconvolution process for bead 1 of Fig. 3A
is shown as a function of the number of iterations.
(Top) The peak integrated intensity.
(Middle) The integrated intensity of the flare.
(Bottom) The ratio of peak to flare intensity, a figure
of merit for deconvolution effectiveness. Each plot has been normalized
to the predeconvolution integrated intensity. The PSFs used to
deconvolve bead 1 are: the image itself (Fig. 4A,
solid line), a bead image taken under conditions of minimal distortions
(Fig. 1A, dashed line), a ray-traced computed
PSF based on the simulated refractive index map (Fig.
4C, dotted line), and a PSF calculated by applying the
ray-traced wavefront distortions to a measured, unaberrated PSF using
Eqs. 2a–2e (Fig. 4D, dash–dot line).
After 15 deconvolution iterations, the signal (peak) intensity to
nonsignal (flare) intensity ratio is improved 8-fold by using the
ray-traced PSF and 15-fold by using the PSF modified by Eqs.
2a–2e, when compared with those using an
unaberrated PSF.