Related Experiment Video
Updated: Jun 16, 2025

Multiplex Chemical Imaging Based on Broadband Stimulated Raman Scattering Microscopy
Published on: July 25, 2022
Difference of two sinc Schell-model cross-spectral density matrices
Abstract:
We propose a convenient method for modeling what we believe to be novel classes of cross-spectral density (CSD), in which the difference between two CSD matrices belonging to the same class represents a supposed novel valid CSD matrix under sufficient conditions. Using such a method, we introduce what we think is a new class of CSD matrix relating to the difference of two sinc Schell-model CSD matrices, and derive the sufficient conditions for the non-negative definiteness of the resulting CSD matrix. The statistical characteristics of such electromagnetic stochastic beams propagating in free space were investigated using weighted superposition and numerical simulation methods. It is demonstrated that this new light fields with any admissible choice of source parameters possess very peculiar evolution characteristics. The results illustrate new opportunities for study new classes of electromagnetic stochastic beams.
Related Concept Videos
Basic signals of Fourier Transform
The sinc function, defined as sinc(x) = sin(πx)/(πx), is particularly notable for its symmetry and behavior at...
Graphical and Analytic Representation of Sinusoids
The first step is measuring the peak-to-peak value, which is twice the amplitude of the sinusoid. This provides information about the maximum voltage swing of the waveform.
Secondly, the period and angular frequency are determined. The period is the time taken for one complete cycle of the waveform, while...
2D NMR: Homonuclear Correlation Spectroscopy (COSY)
Properties of Fourier series II
A function f(t) is...
Even and Odd Signals
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...

