  This letter presents a closed-form integral-equation formulation that models
the director tilting in nematic liquid crystals. The proposed formulation is
computationally efficient compared to numerical methods and provides a physical
insight on the matter. Our previous work is generalized from the one-constant
approach to all the possible cases that cover the elastic constants. These
constants determine in great extent the electrical properties of the liquid
crystal, and subsequently, the response of the reconfigurable devices that take
use of it. Therefore, a more precise but still simple modeling of their
influence is pursued here. Simulations show good agreement with numerical
implementations. In comparison, the error in the estimation is considerably
reduced when using the integral-equation formulation, specially as the
polarization voltage or the dielectric anisotropy decreases.
