Abstract

The internal birefringence $\eta$ of an optical medium develops the dynamical phase through natural rotation of incident polarized light. The uniform twist of the medium induces an external birefringence in the system represented by $k$, the angular twist per unit thickness of the medium. This can be visualized through the geometric phase (GP) in association with internal birefringence. The representation of polarized photon, polarization matrix, and birefringent matrix are expressed in the $l=1$ orbital angular momentum (OAM) sphere where the corresponding GP is OAM dependent.

© 2013 Optical Society of America

Geometric phase from a dielectric matrix

Dipti Banerjee
J. Opt. Soc. Am. B 23(5) 817-822 (2006)

Geometric-phase-induced arbitrary polarization and orbital angular momentum generation in helically twisted birefringent photonic crystal fiber

Takeshi Fujisawa and Kunimasa Saitoh
Photon. Res. 8(8) 1278-1288 (2020)

Arbitrary polarization and orbital angular momentum generation based on spontaneously broken degeneracy in helically twisted ring-core photonic crystal fibers

Takeshi Fujisawa and Kunimasa Saitoh
Opt. Express 29(20) 31689-31705 (2021)

Geometric phase for twisted light

Li-Ping Yang
Opt. Express 31(6) 10287-10296 (2023)

Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers

T. Weiss, G. K. L. Wong, F. Biancalana, S. M. Barnett, X. M. Xi, and P. St.J. Russell
J. Opt. Soc. Am. B 30(11) 2921-2927 (2013)