The complete control of scattering waves in multi-channel structures

TL;DR

This paper introduces a universal theory for complete control of scattering waves in multi-channel structures, enabling precise manipulation of all scattering channels, demonstrated through theoretical patterns in two- and four-channel systems.

Contribution

The paper presents a general theory for controlling all scattering waves in multi-channel structures, requiring a complete set of sources, advancing beyond previous partial control methods.

Findings

The theory provides a simple method for achieving complete control.

Complete control requires the structure to contain a complete set of sources.

Theoretical scattering patterns for two- and four-channel structures are demonstrated.

Abstract

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.