Abstract

One- and two-channel maximum entropy methods (MEMs) have been applied to simulated and experimental Roman spectra of both single and double (overlapping) bands. The extent to which signal recovery is affected by signal-to-noise ratios has been determined with the use of measures based on the mean sum of squared residuals, loss of band intensity, and band area reduction. The analysis demonstrates that the two-channel approach results in improved signal recovery, especially at high signal-to-noise ratios.

Maximum entropy method for diffractive imaging

Hiroyuki Shioya and Kazutoshi Gohara
J. Opt. Soc. Am. A 25(11) 2846-2850 (2008)

Phase retrieval in nonlinear optical spectroscopy by the maximum-entropy method: an application to the |χ⁽³⁾| spectra of polysilane

E. M. Vartiainen, K.-E. Peiponen, H. Kishida, and T. Koda
J. Opt. Soc. Am. B 13(10) 2106-2114 (1996)

Propane spectral resolution enhancement by the maximum entropy method

N. L. Bonavito, K. C. Yeh, K. P. Stewart, R. Inguva, and E. J. Hurley
Appl. Opt. 29(13) 1919-1923 (1990)

Superresolution of Fourier transform spectroscopy data by the maximum entropy method

S. Kawata, K. Minami, and S. Minami
Appl. Opt. 22(22) 3593-3598 (1983)

Restoring with Maximum Likelihood and Maximum Entropy*

B. Roy Frieden
J. Opt. Soc. Am. 62(4) 511-518 (1972)