Sensitivity analysis of parameter determination from measurements of directly measurable quantities using the Jacobian

Dan Apostol; Petre-Catalin Logofatu; Victor S. Damian; Adrian Dobroiu

doi:10.1117/1.600998

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1 May 1996 Sensitivity analysis of parameter determination from measurements of directly measurable quantities using the Jacobian

Dan Apostol, Petre-Catalin Logofatu, Victor S. Damian, Adrian Dobroiu

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Optical Engineering, 35(5), (1996). https://doi.org/10.1117/1.600998

The sensitivity of the parameter determination from measurements of directly measurable quantities is the Jacobian of the inverse mapping. The Jacobian also detects the ambiguities due to nonconformal mappings by changing its sign. The Jacobian formalism applied to phase-shift interferometry shows that this method does not have ambiguities due to nonconformal mappings and reachs its maximum sensitivity for equidistant phase shifts covering the whole range (0,2?).

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Dan Apostol, Petre-Catalin Logofatu, Victor S. Damian, and Adrian Dobroiu "Sensitivity analysis of parameter determination from measurements of directly measurable quantities using the Jacobian," Optical Engineering 35(5), (1 May 1996). https://doi.org/10.1117/1.600998

Published: 1 May 1996

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