Search

Polarisation is described by an SU(2) state due to the coherence of photons emitted from a ubiquitous laser source. We propose a polarisation modulator, called as a Poincaré rotator, which enables dynamic control over a polarisation state by executing an arbitrary rotation on the Poincaré sphere. The Poincaré rotator works as an arbitrary operator in the SU(2) Lie group, combining two U(1) operations to change the phase and the amplitude of the state, respectively. By modulating both the phase and amplitude, we have achieved distinguishable 4 × 4 = 16 , 8 × 8 = 64 , and 10 × 10 = 100 states on the Poincaré sphere. As a locus of the polarisation states on the sphere, we have successfully drawn the molecular structure of Buckminsterfullerene (C 60) and the coastline of the Earth. • A new device called Poincaré rotator is proposed to enable polarisation control. • An arbitrary SU(2) operation can be applied to coherent photons. • C 60 and the Earth were drawn on the Poincaré sphere. [ABSTRACT FROM AUTHOR]

Abstract: Except for Quantum Electrodynamics, there has been no real extension of Maxwell''s classical electromagnetic (EM) field theory since his electromagnetic EM field equations were developed in 1864. These equations describe the behavior of vector fields of low (U1) Lie group symmetry. In this respect, Terence W. Barrett has used topology, group and gauge theory, to extend Maxwell theory into tensor fields of higher symmetry form: SU (2), SU (3), and higher, that describe the behavior of specially conditioned EM fields. One of Barrett''s ways of emitting SU(2) EM fields was driving alternating current through toroidal coils at any of the resonant frequencies that will occur for a specific toroid geometry. Experiments to explore the possibility of achieving such resonant frequencies and SU(2) EM emissions will be described. [Copyright &y& Elsevier]

Abstract: Except for Quantum Electrodynamics, there has been no real extension of Maxwell''s classical electromagnetic (EM) field theory since his electromagnetic EM field equations were developed in 1864. These equations describe the behavior of vector fields of low (U1) group symmetry. Topology, group and gauge theory has been used to extend Maxwell theory into tensor fields of higher SU(2) symmetry form. These tensor fields of higher symmetry form describe the behavior of specially conditioned EM radiation, and theoretical and experimental work on such radiation, together with its application to future propulsion and power systems is described. [Copyright &y& Elsevier]