3D imaging of amplitude objects embedded in phase objects using transport of intensity

Partha Banerjee; Mahmudunnabi Basunia

doi:10.1117/12.2186673

9 September 2015 3D imaging of amplitude objects embedded in phase objects using transport of intensity

Proceedings Volume 9598, Optics and Photonics for Information Processing IX; 959804 (2015) https://doi.org/10.1117/12.2186673
Event: SPIE Optical Engineering + Applications, 2015, San Diego, California, United States

Abstract

The amplitude and phase of the complex optical field in the Helmholtz equation obey a pair of coupled equations, arising from equating the real and imaginary parts. The imaginary part yields the transport of intensity equation (TIE), which can be used to derive the phase distribution at the observation plane. If a phase object is approximately imaged on the recording plane(s), TIE yields the phase without the need for phase unwrapping. In our experiment, the 3D image of a phase object and an amplitude object embedded in a phase object is recovered. The phase object is created by heating a liquid, comprising a solution of red dye in alcohol, using a focused 514 nm laser beam to the point where self-phase modulation of the beam is observed. The optical intensities are recorded at various planes during propagation of a low power 633 nm laser beam through the liquid. In the process of applying TIE to derive the phase at the observation plane, the real part of the complex equation is also examined as a cross-check of our calculations. For pure phase objects, it is shown that the real part of the complex equation is best satisfied around the image plane. Alternatively, it is proposed that this information can be used to determine the optimum image plane.

Citation Download Citation

Partha Banerjee and Mahmudunnabi Basunia "3D imaging of amplitude objects embedded in phase objects using transport of intensity", Proc. SPIE 9598, Optics and Photonics for Information Processing IX, 959804 (9 September 2015); https://doi.org/10.1117/12.2186673

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