Table 2. Table comparing original and recovered $D_B$ and residual norms $(l_2)$, for multiple scattering case, where the first two rows shows the recovered $D_B$ without and with prior and the third row shows the recovered $D_B$, with speckle contrast data in optimal exposure range. The fourth row shows recovered $D_B$ for the iterative scheme.

MVIM based recovered $g_1(\tau )$ fitted to $D_B$(in $c{m}^2/s$)
	Without noise		With noise
	$D_B^a-2X{10}^{-8}c{m}^2/s$	$\mid \mid g_1^O-g_1^M\mid {\mid }_2$	$D_B^b-2X{10}^{-10}c{m}^2/$	$\mid \mid g_1^O-g_1^M\mid {\mid }_2$
Prior $x_0=0$	$2.39X{10}^{-8}$	$3.4714$	$2.50X{10}^{-10}$	$3.8500$
Prior $x_0=1$	$2.30X{10}^{-8}$	$0.2210$	$2.35X{10}^{-10}$	$1.1345$
With optimal exposure	$2.27X{10}^{-8}$	$0.3048$	$2.32X{10}^{-10}$	$0.9780$
Iterative scheme	$2.11X{10}^{-8}$	$0.1645$	$2.28X{10}^{-10}$	$0.3747$