Tham khảo tài liệu 'features of liquid crystal display materials and processes part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Electromagnetic Formalisms for Optical Propagation in Three-Dimensional Periodic Liquid-Crystal Microstructures 69 a Thickness zLC Fig. 2. Diffraction efficiency for the periodic LC structures at thickness ZLC 0 4ụm in which a the solid line indicates numerical results by RCWA with considering multiple reflections as in the appendix equations 89-92 and are in agreement with those dotted line from the FDTD method while b the solid line indicates numerical results by the RCWA with ignoring multiple reflections yet accounting for the effects of the Fresnel refraction and the single reflection at the surfaces of the media as in equation 13 showing comparable results. which relates to the eigen-vector matrices T0 T2 for the isotropic incident emitted layer in the equation 19 and the eigen-values K a and eigen-vector T1 matrices of G in equation 18 for the liquid-crystal film. Here Zic Zic k0 is the thickness of the liquid-crystal film. In this case we simply choose the unit-amplitude normal TE incidence with respect to the xz incident plane . E 0 I E 0 10 E 0 00 E 010i 0 10 V and M 0 q 0 q q q q 0 M 0 10 M 000 0 10 000 f. For the isotropic incident emitted air layer e 1 the associated nx hy e and Ĩ in T0 T2 are referred to equations 14 15 16 and are given as 10 0 0 0 0 1 0 0 if X 0 1 0 ny 0 0 0 e 0 1 0 25 0 0 1 0 0 0 0 0 1 Ĩ v 1 Ả2 Áị 0 0 0 1 0 0 0 0 a2 ax Ĩ -1 1 V1 a2 ax 0 0 0 1 0 0 01 x 1 a2 ax 26 27 Note we have used a small incident angle Ỡ 10 5 p 0 to avoid the numerical instability at Ỡ 0. For the layer of liquid-crystal film the associated nx fty and ejjE Xyz in G in equation 18 are written out as below a Ax 0 0 0 0 0 n X 0 1 0 ny 0 0 0 0 0 A Ax _ 0 0 0 28 70 Features of Liquid Crystal Display Materials and Processes yy zz yz xx xx 00 xx -10 xx -20 n2 0 0 xx 10 xx 00 xx -10 0 n2 0 - xx 20 xx 10 xx 00 - 0 0 nL no - n ni n2- n 0 m2_m2 2 I 2 m2_m2 n n n n n n 0 n -n n n n nL nj-n2 0 m2_m2 2 I 2 m2_m2 n n n n n n 0 n2- n2 n2 n2 0 -itf-n 0 nỉ- nĩ 0 - nỉ- nĩ 0 n
