Abstract

We present a methodology for obtaining the analytical solution of the Gamo entropy, defined by the intensity matrix proposed by Gamo [J. Opt. Soc. Am. 47, 976 (1957) [CrossRef]  ]. The matrix, which consists of numerous image amplitudes at all the sampling points of the entire imaging plane, is generally infinite-dimensional. The essence of our theory is that the computational difficulties arising because of the infinite-dimensionality are avoided by introducing the inner products of two image amplitudes. The integral in continuous space plays the role of a buffer against the infinite-dimensionality. The validity of the approach is confirmed by comparing our analytical solution and Yamazoe’s numerical simulations [J. Opt. Soc. Am. A 28, 448 (2011) [CrossRef]  ].

© 2015 Optical Society of America

Numerical experiment of the Shannon entropy in partially coherent imaging by Koehler illumination to show the relationship to degree of coherence

Kenji Yamazoe and Andrew R. Neureuther
J. Opt. Soc. Am. A 28(3) 448-454 (2011)

Polarized optical scattering by inhomogeneities and surface roughness in an anisotropic thin film

Thomas A. Germer, Katelynn A. Sharma, Thomas G. Brown, and James B. Oliver
J. Opt. Soc. Am. A 34(11) 1974-1984 (2017)

Perturbative analysis of partially coherent illumination for coma aberration measurements

Satoshi Yashiki
J. Opt. Soc. Am. A 32(4) 669-677 (2015)

Depolarizing differential Mueller matrix of homogeneous media under Gaussian fluctuation hypothesis

Vincent Devlaminck
J. Opt. Soc. Am. A 32(10) 1736-1743 (2015)

Bit error rate of focused Gaussian beams in weak oceanic turbulence: comment

Mikhail Charnotskii
J. Opt. Soc. Am. A 32(7) 1247-1250 (2015)