Ernst Lueder - Liquid Crystal Displays

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LIQUID CRYSTAL DISPLAYS
THE NEW EDITION OF THE GOLD-STANDARD IN TEACHING AND REFERENCING THE FUNDAMENTALS OF LCD TECHNOLOGIES

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In Figure 4.8, the influence of the pretilt on the electro-distortional curve is depicted. The larger the pretilt, the smaller the voltage needed to tilt the molecules. This is understandable, as the molecules with larger pretilt are already rotated in the right direction.

Figure 47Midlayer tilt versus voltage of an STN cell with twist angle β as a - фото 359

Figure 4.7Midlayer tilt versus voltage of an STN cell with twist angle β as a parameter (Reproduced from Scheffer and Nehring, 1998 with permission of Annual Reviews.)

Figure 48The influence of the pretilt angle on the electrodistortional curve - фото 360

Figure 4.8The influence of the pretilt angle on the electro-distortional curve of the midlayer in an STN cell (Reproduced from Scheffer and Nehring, 1998 with permission of Annual Reviews.)

Finally, Figure 4.6shows both the midlayer tilt and the transmitted luminance versus V LCfor a twist of 240°. The transition from white to black is considerably steeper than for the regular 90° TN cell in Figure 2.13. It exhibits an extended linear range leading to a good grey scale operation. It is interesting to note that a sufficient black state occurs even when the midlayer has not yet reached 90°. In Figure 4.6, the display assumes a desired grey shade if voltages in between the on-voltage (fully black) and the off-voltage (fully white) are applied. The off and on voltages are 2.58V and 2.75 V, respectively representing a comparatively small voltage difference for switching a display with 240 lines.

The voltage-induced change of the orientation of the LC molecules also affects the colour appearance of an image. This is demonstrated in Figure 4.9, where the luminance vs. the wavelength of the display in Figure 4.6is shown. For an off-voltage of 2.58 V, the colouring is greenish-yellow. With increasing voltage, the display becomes bluer, ending up with dark blue at the on-voltage of 2.75 V. This mode is called the yellow mode, which is used in inexpensive displays. Other colours are generated with larger values for d Δ n . More on this colour generation is presented in Section 4.3.

4.2.3 The mixed mode twisted nematic cell (MTN cell)

In this mode the polarizer is at an angle α ≠ 0 to the x -axis while the director exhibits a twist β , in most cases β = π /2. The twist starts with the LC molecules anchored parallel to the x -axis. This situation gives rise to two modes of propagation of light from which the term mixed mode is derived.

The first mode is based on linearly polarized light feeding in both a wave with a field component parallel to the x -axis experiencing n ||and a wave with a y -component experiencing n ┴. As n ||> n ┴, the speed of propagation of the x -component is smaller than the speed of the y -component; the x -axis is the slow axis and the y -axis is the fast one. The effect at the output is based on this birefringence. Examples for this mode are all the untwisted nematic cells that were described in Chapter 3.

Figure 49Transmitted spectrum of a 240 STN display with the addressing - фото 361

Figure 4.9Transmitted spectrum of a 240° STN display with the addressing voltage as a parameter (Reproduced from Scheffer and Nehring, 1998 with permission of Annual Reviews.)

The second mode stems from the twist of the molecules given in Equation (4.51)for α = 0, yielding

(4.77) Liquid Crystal Displays - изображение 362

with

(4.78) Liquid Crystal Displays - изображение 363

derived from Equation (4.64).

For β << πd Δ n / λ Equation (4.77)can be approximated by

(4.79) where β 0from Equation 450was used This result indicates that the component - фото 364

where β 0from Equation (4.50)was used. This result indicates that the component in the σ -axis represents the entire propagating wave. This axis rotates with the twist of the LC molecules we introduced during the derivation of the general result in Equation (4.51). Hence, the wave is guided by the twist. This waveguiding effect, also called the adiabatic following , is the second mode of propagation.

The derivation of the transmission in the MTN mode starts with the general Equations (4.66)and (4.67)for the Jones vectors in the x ′ – y ′ coordinates in Figure 4.1. We know from Equation (4.72)that maximum transmission takes place for ψ = − α , and the analyser in the ψ -direction. We now pursue this case, and obtain from Equations (4.66)and (4.67) ψ = − α for

(4.80) 481 The polarizers are crossed with a 90 angle for α π 4 which as is - фото 365

(4.81) The polarizers are crossed with a 90 angle for α π 4 which as is shown in - фото 366

The polarizers are crossed with a 90 angle for α = π /4, which as is shown in our discussion of Equation (4.76), yields a normally white state with an excellent black state. For α = π /4, Equations (4.80)and (4.81)yield

(4.82) and 483 The intensity Isx of the light passing through the polarizer in - фото 367

and

(4.83) The intensity Isx of the light passing through the polarizer in the x - фото 368

The intensity Isx′ of the light passing through the polarizer in the x ′ direction in the normally white state with α = − ψ = π /4 is

(4.84) Liquid Crystal Displays - изображение 369

with

Liquid Crystal Displays - изображение 370

Isx ′is plotted in Figure 4.10versus a for β = π /2; zeros are at a = 0, Liquid Crystal Displays - изображение 371whereas maxima occur at Liquid Crystal Displays - изображение 372The maximum at Liquid Crystal Displays - изображение 373leads to Liquid Crystal Displays - изображение 374. The fully on state offers an excellent black independent of λ . The normally black state with parallel polarizers possesses a black state for Osy′ = 0, that is, for γ ( λ ) = π . More on MTNs is presented in the following two chapters.

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