Non-linear optical chiral nematic bandgap

ABSTRACT

We construct a joint Lagrangian to describe the interaction between a non-magnetic chiral or twisted nematic phase and an electromagnetic wave. Using the well-known Oseen transformation, we rewrite the Lagrangian to transform the director angle of the liquid crystal in an ignorable coordinate which allows to decouple the electric components from the director angle to get the non-linear dynamical equation governing the electromagnetic fields within the liquid crystal phase. We propose a trial solution to get an approximated solution of the fields which allow us to get an intensity dependent band structure that we analyse.

Graphical abstract

KEYWORDS:

• Group velocity
• chiral nematic liquid crystals
• liquid crystals
• electric field

Acknowledgments

J. Adrian Reyes acknowledges partial financial support from grant Dirección General de Asuntos del Personal Académico UNAM IN100921.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The work was supported by the Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México .