Optical Singularity Dynamics and Spin-Orbit Interaction due to a Normal-Incident Optical Beam Reflected at a Plane Dielectric Interface
arXiv:2211.11239 · doi:10.1103/PhysRevA.107.013522
Abstract
The degenerate case of normal incidence and reflection of an optical beam (both paraxial and non-paraxial) at a plane isotropic dielectric interface, which is azimuthally symmetric in terms of the momentum-spatial variation of Fresnel coefficients but not in terms of the fundamental polarization inhomogeneity of the incident field, requires in-depth analyses. In this paper, we use the reflection and transmission coefficient matrix formalism to derive an exact field expression of a normal-reflected diverging beam. The availability of the exact field information allows controlled variations of the system parameters, leading to significant dynamics of phase and polarization singularities hitherto unanticipated in the literature. We carry out a detailed exploration of these dynamics in our simulated system, and also verify them experimentally by using an appropriate setup. We then use Barnett's formalism to determine the associated orbital angular momentum (OAM) fluxes, leading to a subtle interpretation and mathematical characterization of spin-orbit interaction (SOI) in the system. Our work thus represents a non-trivial unification of the most fundamental electromagnetic reflection/transmission problem at a plane dielectric interface and the emerging areas of optical singularity dynamics with their understanding in terms of OAM flux and SOI. The normal-incidence--retro-reflection geometry being especially amenable to applications, these beam-field phenomena are anticipated to have applications in interface characterization, particle rotation/manipulation and other nano-optical processes.
arXiv comment16 pages, 13 figures
References in corpus (20)
- Hall Effect of Light
- Transverse and longitudinal angular momenta of light
- Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
- Goos-Hänchen and Imbert-Fedorov beam shifts: An overview
- Internal flows and energy circulation in light beams
- Coriolis Effect in Optics: Unified Geometric Phase and Spin-Hall Effect
- Role of beam propagation in Goos-Hänchen and Imbert-Fedorov shifts
- Angular Momenta and Spin-Orbit Interaction of Nonparaxial Light in Free Space
- Optical nanoprobing via spin-orbit interaction of light
- Polarization, transverse shifts, and angular momentum conservation laws in partial reflection and refraction of an electromagnetic wave packet
- Geometrodynamics of polarized light: Berry phase and spin Hall effect in a gradient-index medium
- Geometric phases in 2D and 3D polarized fields: geometrical, dynamical, and topological aspects
- Duality Between Spatial and Angular Shift in Optical Reflection
- Polarization singularity anisotropy: determining monstardom
- Eigenpolarizations for Giant Transverse Optical Beam Shifts
- Vectorial vortex generation and phase singularities upon Brewster reflection
- On anomalous optical beam shifts at near-normal incidence
- Generic Optical Singularities in Brewster-reflected Post-paraxial Beam-fields
- Generalized Matrix Transformation Formalism for Reflection and Transmission of Complex Optical Waves at a Plane Dielectric Interface
- Generic Optical Singularities and Beam-field Phenomena due to General Paraxial Beam Reflection at a Plane Dielectric Interface