TY - JOUR

T1 - Birefringent and electro-optic effects in poled polymer films

T2 - Steady-state and transient properties

AU - Wu, J. W.

PY - 1991/1

Y1 - 1991/1

N2 - Expansion of the orientational distribution function f(θ, t) of molecular dipoles in terms of Legendre polynomials with spherical modified Bessel functions i(μE/kT) as coefficients yields an analytic relation between the steady-state birefringence Δ nz(ω) and the electro-optic coefficient Δ nz(-ωω, 0) for a poled nonlinear optical system. A rotational diffusion equation, with the diffusion constant D, for the distribution function describing the onset and the decay of the induced optical and electro-optic properties is solved, with the help of the recurrence relation for spherical modified Bessel functions. It is found that the onset of birefringence involves at least two time constants, with rise times of 1/2D and 1/6D, while the onset of the electro-optic effect is dominated by the rise time of 1/2D. After removal of the dc poling field, the birefringence and the electro-optic effect are found to relax in time with different decay time constants, 1/6D and 1/2D, respectively. This is due to the difference in the tensor rank describing the birefringence and the electro-optic effect.

AB - Expansion of the orientational distribution function f(θ, t) of molecular dipoles in terms of Legendre polynomials with spherical modified Bessel functions i(μE/kT) as coefficients yields an analytic relation between the steady-state birefringence Δ nz(ω) and the electro-optic coefficient Δ nz(-ωω, 0) for a poled nonlinear optical system. A rotational diffusion equation, with the diffusion constant D, for the distribution function describing the onset and the decay of the induced optical and electro-optic properties is solved, with the help of the recurrence relation for spherical modified Bessel functions. It is found that the onset of birefringence involves at least two time constants, with rise times of 1/2D and 1/6D, while the onset of the electro-optic effect is dominated by the rise time of 1/2D. After removal of the dc poling field, the birefringence and the electro-optic effect are found to relax in time with different decay time constants, 1/6D and 1/2D, respectively. This is due to the difference in the tensor rank describing the birefringence and the electro-optic effect.

UR - http://www.scopus.com/inward/record.url?scp=84975646146&partnerID=8YFLogxK

U2 - 10.1364/JOSAB.8.000142

DO - 10.1364/JOSAB.8.000142

M3 - Article

AN - SCOPUS:84975646146

SN - 0740-3224

VL - 8

SP - 142

EP - 152

JO - Journal of the Optical Society of America B: Optical Physics

JF - Journal of the Optical Society of America B: Optical Physics

IS - 1

ER -