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2007 
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Xiangyi Nie 
University of Central Florida 
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Nie, Xiangyi, "Anchoring Energy And Pretilt Angle Effects On Liquid Crystal Response Time" (2007). 
Electronic Theses and Dissertations, 2004-2019. 3281. 
https://stars.library.ucf.edu/etd/3281
ANCHORING ENERGY AND PRETILT ANGLE EFFECTS ON 
LIQUID CRYSTAL RESPONSE TIME 
 
 
 
 
 
 
 
by 
 
 
 
XIANGYI NIE 
B.S. Nanjing University, P.R. China, 1999 
M.S. Nanjing University, P.R. China, 2002 
M.S. University of Central Florida, USA, 2004 
 
 
 
 
 
A dissertation submitted in partial fulfillment of the requirements  
for the degree of Doctor of Philosophy  
in the School of Electrical Engineering and Computer Science   
in the College of Engineering and Computer Science  
at the University of Central Florida 
Orlando, Florida  
 
 
 
 
 
 
 
 
Fall Term 
2007 
 
 
Major Professors:  Shin-Tson Wu  
                 Thomas X. Wu
ABSTRACT 
This dissertation covers some important topics on the liquid crystal-substrate surface 
effects, including theoretical derivations and confirming experimental results. The research 
work is expected to make important impacts on liquid crystal device designs and to open new 
doors for further research along these topics.  
In this dissertation, a novel high-electric-field technique is developed to characterize the 
anchoring energy of vertically-aligned liquid crystal cells. Both theoretical analyses and 
confirming experimental results are presented. Vertically-aligned liquid crystal cells with 
buffed polyimide alignment layers are used to validate the measurement techniques. Based on 
the voltage-dependent transmittance of the liquid crystal cells, a linear fitting can be obtained, 
which leads to a precise determination of the anchoring energy. If some specific liquid crystal 
material parameters are known, then the traditional cell capacitance measurements can be 
avoided.  
Anchoring energy and cell gap effects on liquid crystal response time is theoretically 
analyzed and experimentally investigated. A novel theory on the liquid crystal dynamics is 
developed. In this part, two different theoretical approaches are discussed: one is surface 
dynamic equation method and the other is effective cell gap method. These two different 
approaches lead to consistent results, which are also confirmed by our experimental results. 
This work opens a new door for LCD industry to optimize liquid crystal response time, and it 
is especially critical for liquid crystal cells with thin cell gap, which is a promising approach 
for fast response time liquid crystal display. 
Pretilt angle effects on liquid crystal dynamics are analyzed theoretically and validated 
experimentally. Analytical expressions are derived to describe liquid crystal response time 
under nonzero pretilt angle conditions. The theoretical analysis is confirmed experimentally 
  ii
using  vertically-aligned  liquid  crystal  cells.  These  results  quantitatively  correlate  pretilt 
angles with liquid crystal response time, which is important for optimizing liquid crystal 
response time. 
  iii
To my parents, wife, and daughter 
  iv
ACKNOWLEDGMENTS 
I would like to thank those who contributed and supported my efforts throughout my 
graduate studies at the University of Central Florida.   
First of all, I would like to sincerely thank my advisor, Dr. Shin-Tson Wu, for his 
constant and precious help, motivation, and guidance. Without his valuable advises and 
instructions, it is impossible for me to accomplish these research works. I also would like to 
thank him for his kind instructions and patience to improve my oral English in presentations 
and written English in publications. 
I am truly indebted to my advisor, Dr. Thomas X. Wu for his enlightening discussion and 
advice. I would like to thank him for his patience and time to teach me the numerical 
simulation techniques and electromagnetics, which are critical throughout my research work. 
His kind help for my life in the United States is also truly appreciated. 
I would also like to thank my dissertation committee members, Dr. Jiann S. Yuan, Dr. 
Parveen F. Wahid, and Dr. John Shen, for their help and valuable suggestions about my 
dissertation. 
I gratefully acknowledge all the postdoctoral fellows in the Photonics and Display group 
for their stimulating discussions and technical assistance, particularly Dr. Yanqing Lu, Dr. 
Xinyu Zhu, Dr. Ruibo Lu, and Dr. Haiqing Xianyu.  
I am grateful to all the students in the Photonics and Display group and High-Speed 
Electronic System group; I would like to thank them for their help and encouragement. 
Finally, I would like to give special thanks to my wife, Ying Lou. She gave up her career 
in  China  and  came  to  the  United  States  with  me.  She  has  always  been  supporting  me 
wholeheartedly. I am also very appreciated to my parents for their full support. Without my 
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wife and parents’ support and sacrifice, the accomplishment of my education is impossible. 
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TABLE OF CONTENTS 
LIST OF FIGURES........................................................................................................................x 
LIST OF TABLES.......................................................................................................................xiv 
LIST OF ACRONYMS/ABBREVIATIONS...............................................................................xv 
CHAPTER ONE: INTRODUCTION.............................................................................................1 
1.1 Motivation.............................................................................................................................1 
1.2 Liquid Crystal Materials.......................................................................................................2 
1.3 Basic Physical Properties of Liquid Crystals........................................................................4 
1.3.1 Birefringence..................................................................................................................5 
1.3.2 Dielectric Anisotropy.....................................................................................................5 
1.3.3 Visco-elastic Properties.................................................................................................8 
1.3.3.1 Elastic Constants.....................................................................................................8 
1.3.3.2 Rotational Viscosity..............................................................................................10 
1.3.3.3 Figure of Merit......................................................................................................10 
1.4 Introduction to Liquid Crystal Alignment..........................................................................12 
1.4.1 Rubbing method...........................................................................................................12 
1.4.2 Photoalignment............................................................................................................13 
1.4.3 Pretilt Angle.................................................................................................................14 
1.5 Anchoring Energy...............................................................................................................15 
1.6 Thesis Overview.................................................................................................................18 
CHAPTER TWO: NUMERICAL SIMULATION METHODOLOGIES...................................19 
2.1 Simulation of LC Director Distribution..............................................................................19 
2.1.1 Static State Simulation.................................................................................................20 
2.1.2 Dynamic Process Simulation.......................................................................................21 
  vii
2.2 Optical Simulation..............................................................................................................23 
2.3 Static Simulation of Anchoring Energy Effects on Electro-optic Response of LC Cells...24 
2.4 Dynamic Simulation of Dual-Frequency Liquid Crystal Device.......................................26 
2.5 Simulation of Phase Retardation Dependent Liquid Crystal Electro-optic Modulation.....29 
CHAPTER THREE: POLAR ANCHORING ENERGY MEASUREMENT.............................39 
3.1 Introduction.........................................................................................................................39 
3.2 Theory of Anchoring Energy Measurement by Freedericksz Transition...........................41 
3.3 Theory of Anchoring Energy Measurement by High-Electric-Field Method....................42 
3.4 Experiment..........................................................................................................................48 
3.5 Discussion...........................................................................................................................54 
CHAPTER FOUR: ANCHORING ENERGY AND CELL GAP EFFCTS ON LIQUID 
CRYSTAL RESPONSE TIME.....................................................................................................56 
4.1 Introduction.........................................................................................................................56 
4.2. Theory................................................................................................................................57 
4.2.1 Effective Cell Gap Method..........................................................................................57 
4.2.2 Surface Dynamic Equation Method.............................................................................62 
4.2.3 Results and Discussion................................................................................................64 
4.3 Experiment..........................................................................................................................68 
4.4 Discussion of Thin Cell Gap Effect....................................................................................71 
4.5 Summary.............................................................................................................................74 
CHAPTER FIVE: PRETILT ANGLE EFFECTS ON LIQUID CRYSTAL RESPONSE 
TIME.............................................................................................................................................76 
5.1 Introduction.........................................................................................................................76 
5.2 Theory.................................................................................................................................76 
5.3 Experiment..........................................................................................................................81 
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CHAPTER SIX: CONCLUSION.................................................................................................88 
LIST OF REFERENCES..............................................................................................................90 
 
  ix
Description:wife and parents' support and sacrifice, the accomplishment of my education is  ferroelectric liquid crystal (FLC) modulator is in the 10-100 µs range.  reflected and transmitted waves depend on the pitch length of the cholesteric.