The complete control of scattering waves in multi-channel structures

The issue of photon spin Hall effect was generalized as a universal question of how to control all the scattering waves in a multi-channel structure (complete control). A general theory was proposed, which provides a simple way to achieve the complete control. This theory shows also that the necessary condition for complete control is that the structure must contain a complete set of sources. To demonstrate the application of the theory, the typical scattering patterns in the two-channel and four-channel structures are achieved theoretically. Previous this research, one could only artificially control the scattering waves in two channels out of a four-channel structure.