Open AccessComputational spectroscopy via singular-value decomposition and regularization
Author(s) -
Peng Wang,
Rajesh Me
Publication year - 2014
Publication title -
optics express
Language(s) - Uncategorized
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.22.021541
Subject(s) - singular value decomposition , optics , spectrometer , fourier transform , broadband , spectral resolution , regularization (linguistics) , fourier transform spectroscopy , singular value , physics , bandwidth (computing) , spectroscopy , algorithm , computer science , fourier transform infrared spectroscopy , telecommunications , spectral line , eigenvalues and eigenvectors , artificial intelligence , quantum mechanics , astronomy
Computational spectrometer based on a broadband diffractive optic was demonstrated with high spectral resolution over large bandwidth and high photon utilization efficiency. In this paper, we analyze such a spectrometer using singular value decomposition and propose a faster spectrum reconstruction algorithm with excellent accuracy by regularization. A new definition of spectral resolution based upon the Fourier analysis of singular vectors is described as well.