Phase noise analysis of 3D images from a two wavelength coherent imaging system

Date of Award


Degree Name

M.S. in Electro-Optics


Department of Electro-Optics and Photonics


Advisor: Joseph W. Haus


Two wavelength coherent imaging is a technique that offers several advantages over conventional coherent imaging. A significant advantage examined in this thesis is the ability to extract 3D target relief information from the phase contrast image at a known difference frequency. However, phase noise detracts from the accuracy that the target can be faithfully identified. We therefore describe a method for developing a relation of phase noise relative to the correlation of the image planes corresponding to each wavelength. Being able to predict the phase noise spectrum of a scene will help greatly in determining our ability to reconstruct the target relief. We examine the validity of previously derived equations, and extend them to a general case, which allows for the calculation of a correlation of a complex image field which has content from many spatial frequencies. The correlation coefficient can be used to generate a probability density function which represents the overall phase noise of the system relative to the spatial frequency content. For a simple target the spatial frequency content is based on a single tilt angle for the target. We discuss both computer-based modeling that is compared to an analytic equation, as well as an experimental spatial heterodyne verification of the model. We further extend our theory by building scenes with complex objects, discussing whether the derived equations hold for multi-faceted surfaces.


Phase modulation, Beamforming, Three-dimensional display systems, Three-dimensional imaging Data processing, Electrical engineering; optics; spatial heterodyne, phase noise, digital holography, synthetic wavelength imaging, multiplexing, multi-wavelength imaging

Rights Statement

Copyright 2013, author