Fig. 8: Simulated ππ soliton-soliton domain walls with non-zero polar tilt.
From: Soliton walls paired by polar surface interactions in a ferroelectric nematic liquid crystal
a Tilt magnitude θa(x) and polar angle φ(x) profiles calculated by numerical minimization of the Frank–Oseen energy in Eq. (4) using the ansatz in Eq. (3) for K1/K3 = 10. The largest tilt occurs near \(\varphi =\frac{\pi }{2},\frac{3\pi }{2}\). b Transmitted light intensity through a cell and a filter of the type shown in Fig. 4e, where the wavelength λ of light is chosen such that \(\frac{\pi d\triangle n}{2\lambda }=\pi\). Note the favorable comparison between these results and the experimental data in Fig. 4c, f. Transmission is strong whenever \(\varphi =\frac{\pi }{4},\frac{3\pi }{4},\frac{5\pi }{4},\frac{7\pi }{4}\). c, d Two projected schemes of the polarization field in the one-quarter of the ππ-soliton in which we find the largest tilt θ, with the same parameters as in (a). In all simulations, d = 15 ξ3, K2 = K3/2, and ω = 0.1.
