Holographic imaging has proved to be useful for spherical particle characterization, including the retrieval of particle size, refractive index, and 3D location. In this method, the interference pattern of the incident and scattered light fields is recorded by a camera and compared with the relevant Lorenz–Mie solutions. However, the method is limited to spherical particles, and the complete polarized scattering components have not been studied. This work extends the Mueller matrix formalism for the scattered light to describe the interference light field, and proposes a Mueller matrix holography method, through which complete polarization information can be obtained. The mathematical formalism of the holographic Mueller matrix is derived, and numerical examples of birefringent spheres are provided. The Mueller matrix holography method may provide a better opportunity than conventional methods to study anisotropic particles.
© 2013 Optical Society of America
Original Manuscript: April 3, 2013
Revised Manuscript: June 17, 2013
Manuscript Accepted: June 18, 2013
Published: July 19, 2013
Meng Gao, Ping Yang, David McKee, and George W. Kattawar, "Mueller matrix holographic method for small particle characterization: theory and numerical studies," Appl. Opt. 52, 5289-5296 (2013)