Concerning problems of optimization in nonlinear optics
Abstract
Optimization algorithms for problems of nonlinear optics are presented based on the application of similarity theory and gradient methods of optimal control. Examples of the application of similarity theory to the calculation of nonlinear quasioptic systems are discussed, including wave diffraction in a medium with a nonlinear refractive index; and coherent wave interaction, and the generation of difference and sum frequencies. It is concluded that the application of similarity theory and optimal control methods makes it possible to considerably simplify and speed up the task of determining relationships between field characteristics and the parameters of the medium and the incident radiation.
 Publication:

Current Problems of Mathematical Physics and Computational Mathematics
 Pub Date:
 1982
 Bibcode:
 1982cpmp.book..183K
 Keywords:

 Electromagnetic Interactions;
 Field Theory (Physics);
 Incident Radiation;
 Nonlinear Optics;
 Optimal Control;
 Similarity Theorem;
 Optical Resonance;
 Optimization;
 Wave Diffraction;
 Lasers and Masers