Time dependent behavior of electric birefringence caused by an ac field superimposed on a dc field

Déjardin, Jean‐Louis; Debiais, G.

doi:10.1016/0378-4371(91)90109-p

Cited by 9 publications

(3 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Numerical methods have been used in recent works [20,22,26] to solve this problem. Approximate analytical solutions to this problem were also obtained by means of tedious Laplace transforms [21,28,29], but the resulting expressions are not simple to exploit.…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Arbitrary Order Perturbation Expansion Applied to Steady-State Nonlinear Kerr Effect Relaxations in Coupled AC and DC Weak Fields

Hounkonnou

Ronveaux

1992

Acta Phys. Pol. A

View full text Add to dashboard Cite

The steady state response of the nonlinear Kerr effect to a small ac field superimposed on a dc field is analysed using second-order perturbation theory. We justify the truncature effect entailed in solving the infinite set of differential equations that yield the electric polarization and birefringence, and hence draw inferences from the appearance of single and double harmonics as the fundamental frequencies of nonlinear Kerr effect. Tle addition of small inertial effects in the solution of this phenomenon results in the appearance of a contribution within the master matrix which is proportional to the square of the frequency corresponding to the order of perturbation. The study is based on the Smoluchowski equation of rotational Brownian motion.

show abstract

Section: Discussionmentioning

confidence: 99%

“…Particular cases of ordinary linear electric birefringence of Kerr (KEB) were treated by Morita and Watanabe [11,12,23] and Dejardin and Débiais [21] by considering…”

Section: General Theorymentioning

confidence: 99%

Arbitrary Order Perturbation Expansion Applied to Steady-State Nonlinear Kerr Effect Relaxations in Coupled AC and DC Weak Fields

Hounkonnou

Ronveaux

1992

Acta Phys. Pol. A

View full text Add to dashboard Cite

show abstract

“…We now recall the analytical expressions suitable to Kerr effect relaxation and obtained up to second order in the electric field strength [49,50]. As the time evolution of the electric birefringence is proportional to the expectation value of the second Legendre polynomial, the stationary solution may be represented as follows:…”

Section: Kerr Effect Responsementioning

confidence: 99%