„Experiments with Polarized Light” változatai közötti eltérés

A Fizipedia wikiből
24. sor: 24. sor:
  
 
===90<sup>o</sup> Twisted Nematic LC Cell===
 
===90<sup>o</sup> Twisted Nematic LC Cell===
In the 90o twisted nematic (TN) cell shown in Fig. 8, the LC director of the back
+
In the 90<sup>o</sup> twisted nematic (TN) cell shown in Fig. 2, the LC director of the back
surface is twisted 90o with respect to the front surface. The front local director is set
+
surface is twisted 90<sup>o</sup> with respect to the front surface. The front local director is set
 
parallel to the transmission axis of the polarizer. An incident unpolarized light is converted
 
parallel to the transmission axis of the polarizer. An incident unpolarized light is converted
 
into a linearly polarized light by the front polarizer.
 
into a linearly polarized light by the front polarizer.
  
When a linearly polarized light traverses through a 90o TN cell, its polarization
+
When a linearly polarized light traverses through a 90<sup>o</sup> TN cell, its polarization
follows the twist of the LC directors (polarized light sees ne only) so that the output beam
+
follows the twist of the LC directors (polarized light sees $n_e$ only) so that the output beam
remains linearly polarized except for that its polarization axis is rotated by 90o (it’s called
+
remains linearly polarized except for that its polarization axis is rotated by 90<sup>o</sup> (it’s called
the polarizing rotary effect by ne; similarly we can also find polarizing rotary effect by no).
+
the polarizing rotary effect by $n_e$; similarly we can also find polarizing rotary effect by $n_o$).
Thus, for a normally black (NB) mode using a 90o TN cell, the analyzer’s (a second
+
Thus, for a normally black (NB) mode using a 90<sup>o</sup> TN cell, the analyzer’s (a second
 
polarizer) transmission axis is set to be parallel to the polarizer’s transmission axis, as
 
polarizer) transmission axis is set to be parallel to the polarizer’s transmission axis, as
shown in Fig. 9. However, when the applied voltage V across the LC cell exceeds a critical
+
shown in Fig. 3. However, when the applied voltage V across the LC cell exceeds a critical
value Vc, the director of LC molecules tends to align along the direction of applied external
+
value $V_c$, the director of LC molecules tends to align along the direction of applied external
 
electrical field which is in the direction of the propagation of light. Hence, the polarization
 
electrical field which is in the direction of the propagation of light. Hence, the polarization
 
guiding effect of the LC cell is gradually diminishing and the light leaks through the
 
guiding effect of the LC cell is gradually diminishing and the light leaks through the
analyzer. Its electro-optical switching slope γ is defined as (V90–V10)/V10, where V10 and
+
analyzer. Its electro-optical switching slope $\gamma$ is defined as $(V_{90}–V_{10})/V_{10}$, where $V_{10}$ and
V90 are the applied voltages enabling output light signal reaches up to 10% and 90% of its
+
$V_{90}$ are the applied voltages enabling output light signal reaches up to 10% and 90% of its
 
maximum light intensity, respectively.  
 
maximum light intensity, respectively.  
 
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</wlatex>

A lap 2017. szeptember 17., 05:47-kori változata

Investigation of Liquid Crystal Displays

Liquid Crystals


Liquid crystal (LC) is a state of matter that is intermediate between the crystalline solid and the amorphous liquid. The nematic LCs are organic compounds consisting of long-shaped needle-like molecules. The orientation of the molecules can be easily aligned and controlled by applying an electrical field. Uniform or well prescribed orientation of the LC molecules is required in most LC devices. The structure of the LC cell used in this experiment is shown in Fig 1. Rubbing the polyimide film can produce a well-aligned preferred orientation for LC molecules on substrate surfaces, thus due to the molecular interaction the whole slab of LC can achieve uniform molecular orientation. The local molecular orientation is called the director of LC at that point. The LC cell exhibits the so-called double refraction phenomenon with two principal refractive indices. When light propagates along the direction of the director, all polarization components travel with the same speed \setbox0\hbox{$v_o = c / n_o$}% \message{//depth:\the\dp0//}% \box0% , where \setbox0\hbox{$n_o$}% \message{//depth:\the\dp0//}% \box0% is called the ordinary index of refraction. This propagation direction (direction of the director) is called the optical axis of the LC cell. When a light beam propagates in the direction perpendicular to the optical axis, in general, there are two speeds of propagation. The electric field of the light polarized perpendicular (or parallel) to the optical axis travels with the speed of \setbox0\hbox{$v_o = c / n_o$}% \message{//depth:\the\dp0//}% \box0% (or \setbox0\hbox{$v_e = c / n_e$}% \message{//depth:\the\dp0//}% \box0%, where \setbox0\hbox{$n_e$}% \message{//depth:\the\dp0//}% \box0% is called the extraordinary index of refraction). The birefringence (optical anisotropy) is defined as the difference between the extraordinary and the ordinary indices of refraction \setbox0\hbox{$\Delta n=n_e - n_o$}% \message{//depth:\the\dp0//}% \box0%.

90o Twisted Nematic LC Cell

In the 90o twisted nematic (TN) cell shown in Fig. 2, the LC director of the back surface is twisted 90o with respect to the front surface. The front local director is set parallel to the transmission axis of the polarizer. An incident unpolarized light is converted into a linearly polarized light by the front polarizer.

When a linearly polarized light traverses through a 90o TN cell, its polarization follows the twist of the LC directors (polarized light sees \setbox0\hbox{$n_e$}% \message{//depth:\the\dp0//}% \box0% only) so that the output beam remains linearly polarized except for that its polarization axis is rotated by 90o (it’s called the polarizing rotary effect by \setbox0\hbox{$n_e$}% \message{//depth:\the\dp0//}% \box0%; similarly we can also find polarizing rotary effect by \setbox0\hbox{$n_o$}% \message{//depth:\the\dp0//}% \box0%). Thus, for a normally black (NB) mode using a 90o TN cell, the analyzer’s (a second polarizer) transmission axis is set to be parallel to the polarizer’s transmission axis, as shown in Fig. 3. However, when the applied voltage V across the LC cell exceeds a critical value \setbox0\hbox{$V_c$}% \message{//depth:\the\dp0//}% \box0%, the director of LC molecules tends to align along the direction of applied external electrical field which is in the direction of the propagation of light. Hence, the polarization guiding effect of the LC cell is gradually diminishing and the light leaks through the analyzer. Its electro-optical switching slope \setbox0\hbox{$\gamma$}% \message{//depth:\the\dp0//}% \box0% is defined as \setbox0\hbox{$(V_{90}–V_{10})/V_{10}$}% \message{//depth:\the\dp0//}% \box0%, where \setbox0\hbox{$V_{10}$}% \message{//depth:\the\dp0//}% \box0% and \setbox0\hbox{$V_{90}$}% \message{//depth:\the\dp0//}% \box0% are the applied voltages enabling output light signal reaches up to 10% and 90% of its maximum light intensity, respectively.