A mathematical model of an electrophoretic information display is considered. A system of differential equations describing the behaviour of an elementary cell of the twisting-ball display is introduced. A theoretical overview of the theories of ball shift and rotation is given. Results of numerical experiments of modelling the balls with different physical parameters are presented. The system of equations was solved using MATLAB solvers implementing Runge–Kutta methods with variable time step using step-wise integration. The display performance function describing the dependence between luminance and rotation in cases of different physical parameters is developed.
Crowley, J. M., Sheridon, N. K., and Romano, L. 2002. Dipole moments of gyricon balls. J. Electrost., 55(3–4), 247–259.
http://dx.doi.org/10.1016/S0304-3886(01)00208-X
Karvar, M., Strubbe, F., Beunis, F., Kemp, R., Smith, A., Goulding, M., and Neyts, K. 2011. Transport of charged Aerosol OT inverse micelles in nonpolar liquids. ACS J. Surf. Colloids, 27(17), 10386–10391.
http://dx.doi.org/10.1021/la200424v
Liiv, J. 2013. Active optical element, method of producing the same. US Patent 8,383,010.
Seidelmann, P. K. 2005. Explanatory Supplement to the Astronomical Almanac. University Science Books.
Sheridon, N. 1978. Twisting ball panel display. US Patent 4,126,854.
Sheridon, N. K. 2005. Gyricon materials for flexible displays. In Flexible Flat Panel Displays (Crawford, G. P., ed.). John Wiley & Sons, 393–407.
http://dx.doi.org/10.1002/0470870508.ch20
Sheridon, N. and Richley, E. 1999. The Gyricon rotating ball display. J. Soc. Inf. Disp., 7(2), 141–144.
http://dx.doi.org/10.1889/1.1985284
Sigma-Aldrich, Hexane Physical Properties Chart. Available at: https://www.sigmaaldrich.com/chemistry/solvents/ hexane-center/physical-properties.html (accessed 20.06.2012).
Solvay, Typical Properties Solef Hyla. Available at: http://www.solvayplastics.com/sites/solvayplastics/EN/SolvayPlasticsLiterature/Typical_Properties_Solef_Hylar_EN.pdf (accessed 30.10.2012).