Abstract

The concept of a global phase map derived from generalized two-dimensional synchronous and asynchronous correlation spectra is introduced to extract the purely correlational information by intentionally canceling amplitude information. For the practical usage of a global 2D phase map, a filtering method based on the standard deviation spectrum obtained from the time series intensity profiles is proposed to remove the effect of small amplitude noise. A simulation created with the use of three synthesized bands with exponential decay has clearly detected the only difference in the <i>characteristic rate constant</i> of the decay process in the global 2D phase map, although the three bands have different initial values of the peak intensity <i>amplitudes</i>.

All-optical retrieval of the global phase for two-dimensional Fourier-transform spectroscopy

Alan D. Bristow, Denis Karaiskaj, Xingcan Dai, and Steven T. Cundiff
Opt. Express 16(22) 18017-18027 (2008)

Leveraging scatter in two-dimensional spectroscopy: passive phase drift correction enables a global phasing protocol

Lawson T. Lloyd, Ryan E. Wood, Marco A. Allodi, Siddhartha Sohoni, Jacob S. Higgins, John P. Otto, and Gregory S. Engel
Opt. Express 28(22) 32869-32881 (2020)

Spherical nonlinear correlations for global invariant three-dimensional object recognition

José J. Vallés, Pascuala García-Martínez, and Carlos Ferreira
Appl. Opt. 47(4) A43-A51 (2008)

Fast two-dimensional fluorescence correlation spectroscopy technique for tea quality detection

Yongjiang Dong, Hao Lu, Zhengdong Yong, Chunsheng Yan, and Sailing He
Appl. Opt. 54(23) 7032-7036 (2015)

Source reconstruction from the modulus of the correlation function: a practical approach to the phase problem of optical coherence theory*

D. Kohler and L. Mandel
J. Opt. Soc. Am. 63(2) 126-134 (1973)