ABSTRACT
The hyperlens was introduced in 2006 in back-to-back theoretical publications, proposing adiabatic stretching of a subwavelength image to convert evanescent information into a propagating one, such that it can be processed by conventional optics at the far field. Hyperlens analysis typically assumes a linear response of the medium, thereby utilizing linear systems theory to derive all the equations. Nonlinear optics, however, takes into account higher orders in the material response. The chapter focuses on the main numerical methods that were utilized in this work. The techniques include the beam propagation method and the transfer matrix method. The first is a split-step Fourier algorithm, typically used for solving the initial condition problem for the wave equation under the paraxial approximation. In this work, it is extended to tackle the nonlinear, nonparaxial problem in a cylindrically symmetric system for propagation along the radial direction.
