5 research outputs found
Optical transmission matrix measurement sampled on a dense hexagonal lattice
The optical transmission matrix (TM) characterizes the transmission
properties of a sample. We show a novel experimental procedure for measuring
the TM of light waves in a slab geometry based on sampling the light field on a
hexagonal lattice at the Rayleigh criterion. Our method enables the efficient
measurement of a large fraction of the complete TM without oversampling while
minimizing sampling crosstalk and the associated distortion of the statistics
of the matrix elements. The procedure and analysis described here is
demonstrated on a clear sample which serves as an important reference for other
systems and geometries such as dense scattering media.Comment: 12 pages, 6 figure
End-to-end analysis of hexagonal vs rectangular sampling in digital imaging systems
The purpose of this study was to compare two common methods for image sampling in digital image processing: hexagonal sampling and rectangular sampling. The two methods differ primarily in the arrangement of the sample points on the image focal plane. In order to quantitatively compare the two sampling methods, a mathematical model of an idealized digital imaging system was used to develop a set of mean-squared-error fidelity loss metrics. The noiseless continuous/discrete/continuous end-to-end digital imaging system model consisted of four independent components: an input scene, an image formation point spread function, a sampling function, and a reconstruction function. The metrics measured the amount of fidelity lost by an image due to image formation, sampling and reconstruction, and the combined loss for the entire system