Detailed Modified Iwasawa Decomposition of Ray Transformation Matrix and Its Applications

摘要

The formalism of ray transformation matrices allows establishing a close relation between the geometric and wave paraxial optics and providing their description in phase space. The modified Iwasawa decomposition of ray transformation matrix is crucial for classification of phase space transformations. Moreover further concretization of its components significantly simplifies system design, beam synthesis and characterization. The applications of the detailed ray transformation matrix decomposition are demonstrated on several examples: design of optical set up for phase space tomography, generation of stable, spiral and auto-reciprocal beams, characterization of optical signals.