Transverse angular momentum and geometric spin Hall effect of light

Area of Science:

• Optics and Photonics
• Quantum Mechanics
• Classical Electrodynamics

Background:

• Polarized light beams exhibit complex behaviors when observed from different reference frames.
• Geometric effects in light propagation are crucial for understanding wave phenomena.
• The Poynting vector describes energy flow in electromagnetic fields.

Purpose of the Study:

• To introduce and explain a novel geometric phenomenon in polarized light.
• To demonstrate the link between beam observation, polarization, and intensity distribution.
• To establish the role of transverse angular momentum in this effect.

Main Methods:

• Theoretical analysis of polarized light propagation in tilted reference frames.
• Evaluation of the time-averaged Poynting vector flux.
• Mathematical demonstration of the polarization-dependent shift.

Main Results:

• A purely geometric, polarization-dependent shift or split in beam intensity distribution was observed.
• This shift is an unavoidable consequence of nonzero transverse angular momentum.
• The phenomenon was shown to be independent of the specific nature of the beam.

Conclusions:

• A new fundamental optical phenomenon has been identified.
• Transverse angular momentum is a key factor governing beam behavior in tilted frames.
• The findings have broad implications for various physical systems, including electronic and atomic beams.