]> Generate Jacobian for unknown coupling coefficients

Generate Jacobian for Unknown Coupling Coefficients

genSDJacobian() generates the Jacobian for the (presumably) unknown source-detector coupling coefficients. See the code for fitSD() and newFitBackground() for examples of its use. Most users will want to call these functions directly, however, instead of calculating the Jacobians directly.

Function Summary

Syntax:	J = genSDJacobian(SD, Medium, MeasList, data, Method);
Inputs:	SD	SD structure
	Medium	Medium structure
	MeasList	Measurement List that corresponds to experimental data
	data	Experimental data to fit against
	Method	How the Jacobian should be calculated, "Born" or "Rytov"
Outputs:	J	The Jacobian

Detailed Descriptions

The Jacobian (and the system of linear equations that it represents) is naturally rank deficient. One column of the matrix should be set to $0$ before inverting.

For more information see:

David A. Boas, Thomas Gaudette, and Simon R. Arridge, "Simultaneous imaging and optode calibration with diffuse optical tomography," Optics Express, 8(5), pg. 263, 2001.