to the output polarization of the lp2 mode by considering these rules solutions for transmissive modes may be obtained the first five solutions are listed in table i the choice of u03b3 in table 1 makes u03c6 1 state is dark state the dark and bright states can be interchanged when u03b1 or u03b3 is changed by 90 u00b0 in this first preferred embodiment the twist state of the btn can be in any of the choices listed in table i the rubbing condition on the liquid crystal cell should favor the u03c6 1 twist fig5 and 6 show the transmittance spectra of the bright and dark states of this btn it can be seen that the no 1 and the no 2 displays can present excellent contrast and brightness it can also be seen that they are quite non dispersive over the visible range as a matter of fact the no 1 mode solid line has a similar dispersion as ordinary waveguiding mauguin modes it is a true black and white display the second preferred embodiment of the present invention is shown in fig7 this is a single polarizer reflective display arrangement a reflector 9 is place on the bottom glass substrate 6 the ito layer 5 may or may not be necessary the comb electrode 3 is placed on top of an insulating layer 4 which is deposited on top of this reflector 9 as shown in fig7 the reflector 9 can be insulating in the present embodiment fig8 shows another preferred.