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 AmericaFull Article | PDF Article
More Like This
Kenji Yamazoe and Andrew R. Neureuther
J. Opt. Soc. Am. A 28(3) 448-454 (2011)
Thomas A. Germer, Katelynn A. Sharma, Thomas G. Brown, and James B. Oliver
J. Opt. Soc. Am. A 34(11) 1974-1984 (2017)
J. Opt. Soc. Am. A 32(4) 669-677 (2015)