Abstract
The method of path integrals is based on the possibility of evaluating the contributions to the complex amplitude at the observation point (x′,y′,z′) due to the different path lengths of rays coming from the initial (x,y,z) to find the kernel of equation1,2 which for weakly guiding media can be obtained as1 Here Sg is a geometrical ray path for optical functional expanded in series up to the second order where x(τ) is a general solution for any initial conditions of the equation x″(τ) + g2(τ)x(τ) = 0, primes denoting derivatives with respect to τ, τ given by dτ/dz = n0/n1(z).
© 1985 Optical Society of America
PDF ArticleMore Like This
Alireza Akbarzadeh, Thomas Koschny, Maria Kafesaki, Eleftherios N. Economou, and Costas M. Soukoulis
OtS1D.7 Optical Trapping Applications (OMA) 2017
Raymond J. Hawkins
ThC4 Gradient-Index Optical Imaging Systems (GIOIS) 1987
Constantinos C. Constantinou and Raymund C. Jones
ThPP6 OSA Annual Meeting (FIO) 1990