CN109164616A - A method of designing best overdrive voltage - Google Patents

A method of designing best overdrive voltage Download PDF

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Publication number
CN109164616A
CN109164616A CN201811118288.7A CN201811118288A CN109164616A CN 109164616 A CN109164616 A CN 109164616A CN 201811118288 A CN201811118288 A CN 201811118288A CN 109164616 A CN109164616 A CN 109164616A
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liquid crystal
phase
phase modulation
formula
equation
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郭弘扬
杜升平
黄永梅
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Institute of Optics and Electronics of CAS
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Institute of Optics and Electronics of CAS
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    • GPHYSICS
    • G02OPTICS
    • G02FOPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
    • G02F1/00Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
    • G02F1/01Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour 
    • G02F1/13Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour  based on liquid crystals, e.g. single liquid crystal display cells
    • G02F1/133Constructional arrangements; Operation of liquid crystal cells; Circuit arrangements

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  • Physics & Mathematics (AREA)
  • Nonlinear Science (AREA)
  • Mathematical Physics (AREA)
  • Chemical & Material Sciences (AREA)
  • Crystallography & Structural Chemistry (AREA)
  • General Physics & Mathematics (AREA)
  • Optics & Photonics (AREA)
  • Liquid Crystal (AREA)

Abstract

The invention discloses a kind of methods for designing best overdrive voltage, the selection criteria of best overdrive voltage is not explicitly defined for current liquid crystal spatial light modulator overdrive system, the problems such as reaching optimum performance state of overdrive system is influenced, proposes and realizes this method.Efficiently solve the problems, such as that experimental implementation is cumbersome in overdrive system building process, realize target that is quick, accurately establishing overdrive system fundamental, the response speed for further improving liquid crystal spatial modulator overdrive system, is of great significance for the practical application of over-driving method.

Description

A method of designing best overdrive voltage
Technical field
The present invention relates to the technical fields of liquid crystal beam control, and in particular to a kind of side for designing best overdrive voltage Method selects the optimal drive voltage of LCD space light modulator system.
Background technique
Laser space communication have many advantages, such as that information capacity is big, confidentiality is high and it is small in size, light-weight in recent years To extensive research and application.In spaceborne environment etc., traditional mechanical ATP system has in weight, volume and power consumption Certain limitation, therefore be badly in need of realizing the beam deflection techniques of more dexterous, convenient and fast micromechanical or non-mechanical.Existing In some on-mechanical beam deflection controllers, liquid crystal device is driven using electric field, and power consumption is lower;Electrode can be carried out only Vertical control;Light beam deflection precision can achieve microradian grade, become the research hotspot of laser space communication light beam deflection.
For liquid crystal when carrying out light beam deflection control, response speed is liquid crystal spatial light modulation system pass urgently to be solved slowly Key problem.The mode of overdriving is the method accelerated by reasonably improving driving voltage to the response of liquid crystal, this method control System processed is simple, it is easy to accomplish;Only liquid crystal drive voltage is adjusted, convenient data processing;System bulk is small, small power consumption, In recent years come obtained it is extensive concern and application.
Over-driving method is proposed that basic thought is to reach faster sound using higher voltage difference by Wu Shicong earliest Speed is answered, numerous studies are carried out to the application of overdrive technique both at home and abroad later.In overdrive technique, in electric field or magnetic field Under the action of, its phase modulation amount can become with the magnetic field or electric field that driving electrodes are applied after light is incident on liquid crystal Change, which is known as liquid crystal Phase Modulation Properties.According to the Phase Modulation Properties of liquid crystal it is found that the modulation phase of liquid crystal device Position is increased with the raising of driving voltage, i.e., under different driving voltages, different phase tune is may be implemented in liquid crystal system Range processed, and driving voltage is higher, and corresponding phase-modulation range is bigger.
But according to diffraction field theory, the phase-modulation of liquid crystal is into periodically variable, the position of corresponding diffractional field With light distribution and in periodically variable, so the phase modulation of liquid crystal device need to only select then for liquid crystal device One section suitable 2 π sections.So applying overtension not necessarily reaches better effect, need to optimal drive electricity Pressure is judged.The driving voltage overdrived in current research method of overdriving is using the side for directly choosing and testing Method is not analyzed and is defined to optimal overdrive voltage from point of theory, in view of the above problems, the invention proposes one The calculation method of the best overdrive voltage of kind, analyzes according to the Phase Modulation Properties to liquid crystal, finally obtains optimal drive voltage Accounting equation, experiments verify that, this method is pratical and feasible.
Summary of the invention
The present invention designs a kind of method for designing best overdrive voltage, efficiently solves LCD space light modulator mistake The selection computational problem of drive system optimal drive voltage.Realize mesh that is quick, accurately establishing overdrive system fundamental Mark, further improves the response speed of liquid crystal spatial modulator overdrive system, for the practical application of over-driving method It is of great significance.
The technical solution adopted by the present invention are as follows: a method of best overdrive voltage is designed, this method includes following step It is rapid:
Step 1: measurement liquid crystal Phase Modulation Properties, the liquid crystal diffraction light by Fourier transform pairs based on fraunhofer Bar phantom is handled, it is established that the relationship between diffraction intensity and phase modulation, by light intensity and incident light amount of phase modulation into Row mapping, finally obtains the corresponding relationship of phase modulation and driving voltage, the i.e. Phase Modulation Properties of liquid crystal;
Step 2: the equation for establishing calculating liquid crystal phase modulating range pushes away respectively according to liquid crystal phase time response formula It exports liquid crystal uphill process and declines the response time expression formula of process, realize the calculating to liquid crystal phase modulating range;
Step 3: the parameters of clear liquid crystal device, carry out experiment measurement and calculating to unknown parameter;
Step 4: establishing the accounting equation of best overdrive voltage, optimal drive voltage is calculated.
Further, measurement liquid crystal Phase Modulation Properties process includes:
1) diffraction intensity in liquid crystal grating far field is calculated.To when liquid crystal diffraction grating model is in the COMPLEX AMPLITUDE of diffraction screen Function carries out Fourier transformation, finds out the diffraction intensity distribution that incident light is formed after through grating in far field;
2) obtain shown in the normalization light intensity expression such as formula (1) of the 0th grade of diffraction, it is established that liquid crystal amount of phase modulation with The relationship of far field light intensity.
In formula, E0For incident light wave amplitude,For the phase modulation of liquid crystal.
3) far field light intensity is rationally mapped to liquid crystal drive voltage, finally obtains pair of liquid crystal modulation phase and driving voltage It should be related to, i.e. the Phase Modulation Properties of liquid crystal;
Further, according to liquid crystal phase modulated response formula (2):
In formula,Indicate t0Amount of phase modulation corresponding to moment,Indicate t1Moment corresponding amount of phase modulation, τ are indicated Time constant.Theory deduction sets up the relationship of liquid crystal start-phase and target phase;
Further, establishing the equation of liquid crystal phase modulating range, steps are as follows:
1) formula (2) both sides are taken into logarithm, ifFor the maximum value in phase modulation sectionIt acquires and overdrives when responding Between general expression (3):
2) set 2 π phase modulation sections of liquid crystal asIt is in the start-phase risen in response processEventually Then it is to phaseTime constant is τr, the response time expression formula that is risen;
3) in decline response process, start-phase isZhongdao phase isTime constant is τf, obtain down The response time expression formula of drop;
4) definition of liquid crystal response time is the summation of time used in time used in uphill process and decline process, is being controlled In system, when the time of liquid crystal raising and lowering process is approximately equal, it is ensured that control object has preferable characteristic, finally Obtain the accounting equation (4) of liquid crystal optimum phase modulating range:
Further, the parameters for specifying equation (4) measure liquid crystal according to the Phase Modulation Properties curve experiments of liquid crystal The maximum modulation phase of systemDerive rise-time constant τr, time constant of fall τfExpression formula;
Further, by the timeconstantτ of liquid crystal decline process in liquid crystal relaxation behaviorfExpression formula and liquid crystal rose The time constant expression formula τ of journeyrIt is brought into equation (4), arrangement obtains the accounting equation of optimal drive voltage:
In formula, V is driving voltage value, VthFor the threshold voltage of liquid crystal, the equation establishes driving voltage and phase modulation Between relationship, solve equation (5) obtain the optimal drive voltage value of liquid crystal.
The principle of the invention lies in: as shown in figure 5, altogether including four parts: measurement liquid crystal Phase Modulation Properties establish liquid The accounting equation of crystal phase position modulating range, calculates best overdrive voltage at clear liquid crystal device parameter.
Each section connection relationship: it is characterized in that the calculation method of best overdrive voltage, first to liquid crystal phase-modulation Characteristic measures, and is handled by Fourier transform pairs based on the liquid crystal diffraction grating model of fraunhofer, it is established that spread out The relationship between light intensity and phase modulation is penetrated, light intensity and incident light amount of phase modulation are rationally mapped, finally obtains modulation The corresponding relationship of phase and driving voltage, the i.e. Phase Modulation Properties of liquid crystal;The equation for establishing liquid crystal phase modulating range, according to Liquid crystal phase time response formula derives the response time expression formula of liquid crystal uphill process and decline process, realization pair respectively The calculating of liquid crystal phase modulating range;The maximum modulation phase of liquid crystal system is obtained according to the Phase Modulation Properties curve of liquid crystal, By the timeconstantτ of liquid crystal decline processfExpression formula and liquid crystal uphill process time constant expression formula τrIt is brought into equation (4) in, arrangement obtains the accounting equation of optimal drive voltage, realizes the calculating to over-driving method optimal drive voltage.Specifically Structure is as follows:
Measurement liquid crystal Phase Modulation Properties: it is calculated firstly the need of the diffraction intensity to liquid crystal grating far field.Theory card It is bright, it, can by the method for Fourier transformation when known to COMPLEX AMPLITUDE function of the liquid crystal diffraction grating model in diffraction screen In the hope of going out the diffraction intensity distribution that incident light is formed after through grating in far field, it is established that between diffraction intensity and phase modulation Relationship.Light intensity and incident light amount of phase modulation are rationally mapped, it is corresponding with driving voltage to finally obtain phase modulation Relationship, the i.e. Phase Modulation Properties of liquid crystal.
It establishes the accounting equation of liquid crystal phase modulating range: liquid crystal phase time response hectogram side being taken into logarithm, can be acquired It overdrives the general expression of response time, if 2 π phase modulation sections of liquid crystal areRising response process In start-phase beZhongdao phase is thenTime constant is τr, the response time expression formula risen, Decline in response process, start-phase isZhongdao phase isTime constant is τf, response time for being declined Expression formula.As the definition of liquid crystal response time it is found that the definition of liquid crystal response time is the time used in uphill process and declined The summation of Cheng Suoyong time, in the controls, when the time of liquid crystal raising and lowering process is approximately equal, it is ensured that control Object processed has preferable characteristic, finally, obtains the accounting equation of liquid crystal phase modulating range:
It calculates the optimum phase modulating range of liquid crystal: liquid crystal system is obtained most according to the Phase Modulation Properties curve of liquid crystal Big phase modulation, by the timeconstantτ of liquid crystal decline process in liquid crystal relaxation behaviorfExpression formula and liquid crystal uphill process when Between constant expression τrIt is brought into the equation of phase-modulation section, arrangement obtains the accounting equation of optimal drive voltage:
The present invention has the advantages that compared with existing system
(1) compared with current liquid crystal Phase Modulation Properties measurement method, which is based on husband thinkling sound by Fourier transform pairs Standing grain expense liquid crystal diffraction grating model handled, it is established that the relationship between diffraction intensity and phase modulation, by light intensity with enter It penetrates light phase modulation amount rationally to be mapped, finally obtains the corresponding relationship of phase modulation and driving voltage.This method tests light Road very simple does not need additional interference device, lower to environmental requirement, and light source can be replaced arbitrarily, can satisfy The measurement of phase-modulation needs in the case of different wave length, is mapped by light intensity phase, has preferably dynamic and measures Range and resolution ratio.
(2) compared with currently establishing the equation method of liquid crystal phase modulating range, which builds according to control system theory Erect the accounting equation of liquid crystal modulation phase interval.This method efficiently solves experimental implementation in overdrive system building process Cumbersome problem realizes target that is quick, accurately establishing overdrive system fundamental.
(3) calculation method of overdrive voltage best for liquid crystal, the invention have been put forward for the first time a kind of best cross of liquid crystal and have driven The calculation method of dynamic voltage measures parameters by experiment, improves the accuracy of liquid crystal system, this method effectively improves The response speed of liquid crystal spatial modulator overdrive system, is of great significance for the practical application of over-driving method.
Detailed description of the invention
Fig. 1 is the schematic diagram of over-driving method of the invention.
Fig. 2 is overdrive system structural block diagram of the invention.
Fig. 3 is phase response uphill process schematic diagram of overdriving of the invention.
Fig. 4 is phase response decline process schematic of overdriving of the invention.
Fig. 5 is the calculation method flow chart of best overdrive voltage of the invention.
Specific embodiment
Below in conjunction with attached drawing, specific embodiments of the present invention will be described in detail.
As shown in Figure 1, being the liquid crystalline phase under normal drive voltage shown in curve 1 in the response process that liquid crystal is overdrived The response process of position modulation voltage, in t0Moment corresponding phaseFor the initial phase of liquid crystal, to make to reach target phaseThen t0Moment applies normal drive voltage U to liquid crystal1, finally in t2Moment reaches phaseIn t0Moment applies more liquid crystal electrode High driving voltage U2, the incident beam modulated phase generation quickly deflection, amount of phase modulation is in t1Moment just reaches phaseAt this time Again by driving voltage switchback U1It is always held at phase modulationEntire liquid crystal phase change procedure as shown by curve 2, the mistake Journey is the rising response process of the over-driving method of liquid crystal.
As shown in Fig. 2, the realization of liquid crystal overdrive system is the phase data that driving circuit reads present frame, and pass through Frame buffer receives the phase data of previous frame, overdrive tabling look-up according to the comparison of two groups of data, and selection one is presetting Amount of overdrive be input in driving circuit, realize driving voltage output.The frame data are deposited while having handled present frame Storage covers the data of former frame in frame buffer, for handling next group of phase data, and so on.
As shown in figure 3, response curve is approximately exponential function, in electric field driven in the uphill process of liquid crystal phase response Under, electric field force is power, and elastic force is overcome to do work.And due to the relaxation behavior of liquid crystal, with the passage of response time, modulation Phase response speed is gradually reduced.Consider that 2 π phase modulation sections should be selected in low phase in the case where rising response process simple Position section, it is most short in 0 to 2 π sections of rising response time.
As shown in figure 4, the elasticity of liquid crystal molecule can be changed into kinetic force and overcome during the decline of liquid crystal phase response Relaxation behavior and electric field force acting, since the factors such as resistance influence, the torque of elastic force is gradually reduced with time change, phase Response speed slows down gradually.So for declining response process, phase modulation section should be selected in high phase section,Section response speed is most fast.
As shown in figure 5, the calculation method of best overdrive voltage, first measures liquid crystal Phase Modulation Properties, lead to It crosses Fourier transform pairs to be handled based on the liquid crystal diffraction grating model of fraunhofer, it is established that diffraction intensity and phase modulation Between relationship, light intensity and incident light amount of phase modulation are rationally mapped, phase modulation and driving voltage are finally obtained Corresponding relationship, the i.e. Phase Modulation Properties of liquid crystal;The equation for establishing liquid crystal phase modulating range, according to liquid crystal phase time response Formula derives liquid crystal uphill process respectively and declines the response time expression formula of process, realizes to liquid crystal phase modulating range Calculating;The maximum modulation phase of liquid crystal system is obtained according to the Phase Modulation Properties curve of liquid crystal, it will be in liquid crystal relaxation behavior The timeconstantτ of liquid crystal decline processfExpression formula and liquid crystal uphill process time constant expression formula τrIt is brought into phase-modulation In the equation of section, arrangement obtains the accounting equation of optimal drive voltage, realizes the calculating to over-driving method optimal drive voltage.

Claims (5)

1. a kind of method for designing best overdrive voltage, it is characterised in that: this method comprises the following steps:
Step 1: measurement liquid crystal Phase Modulation Properties, the liquid crystal diffraction grating mould by Fourier transform pairs based on fraunhofer Type is handled, it is established that the relationship between diffraction intensity and phase modulation reflects light intensity and incident light amount of phase modulation It penetrates, finally obtains the corresponding relationship of phase modulation and driving voltage, the i.e. Phase Modulation Properties of liquid crystal;Liquid crystal Phase Modulation Properties Measurement process includes:
1) diffraction intensity for calculating liquid crystal grating far field, to when liquid crystal diffraction grating model is in the COMPLEX AMPLITUDE function of diffraction screen Fourier transformation is carried out, the diffraction intensity distribution that incident light is formed after through grating in far field is found out;
2) shown in the normalization light intensity expression such as formula (1) for obtaining the 0th grade of diffraction, it is established that liquid crystal amount of phase modulation and far field The relationship of light intensity.
In formula, E0For incident light wave amplitude,For the phase modulation of liquid crystal;
3) far field light intensity is rationally mapped to liquid crystal drive voltage, finally obtains liquid crystal modulation phase pass corresponding with driving voltage System, the i.e. Phase Modulation Properties of liquid crystal;
Step 2: the equation for establishing calculating liquid crystal phase modulating range is derived respectively according to liquid crystal phase time response formula The response time expression formula of liquid crystal uphill process and decline process, realizes the calculating to liquid crystal phase modulating range;
Step 3: the parameters of clear liquid crystal device, carry out experiment measurement and calculating to unknown parameter;
Step 4: establishing the accounting equation of best overdrive voltage, optimal drive voltage is calculated.
2. a kind of method for designing best overdrive voltage according to claim 1, it is characterised in that: according to liquid crystal phase Modulated response formula (2) theory deduction sets up the relationship of liquid crystal start-phase and target phase,
In formula,Indicate t0Amount of phase modulation corresponding to moment,Indicate t1Moment corresponding amount of phase modulation, τ indicate the time Constant.
3. a kind of method for designing best overdrive voltage according to claim 1, it is characterised in that: establish liquid crystal phase Steps are as follows for the equation of modulating range:
1) formula (2) both sides are taken into logarithm, ifFor the maximum value in phase modulation sectionAcquire the response time of overdriving General expression:
2) set 2 π phase modulation sections of liquid crystal asIt is in the start-phase risen in response processZhongdao phase Position is thenTime constant is τr, the response time expression formula that is risen;
3) in decline response process, start-phase isZhongdao phase isTime constant is τf, declined Response time expression formula;
4) definition of liquid crystal response time is the summation of time used in time used in uphill process and decline process, in control system In, when the time of liquid crystal raising and lowering process is approximately equal, it is ensured that control object has preferable characteristic, finally obtains The accounting equation (4) of liquid crystal optimum phase modulating range:
4. a kind of method for designing best overdrive voltage according to claim 3, it is characterised in that: clear equation (4) Parameters, according to the Phase Modulation Properties curve experiments of liquid crystal measure liquid crystal system maximum modulation phaseIn derivation Rise timeconstantτr, time constant of fall τfExpression formula.
5. a kind of method for designing best overdrive voltage according to claim 4, it is characterised in that: liquid crystal relaxation is special Property in liquid crystal decline process timeconstantτfExpression formula and liquid crystal uphill process time constant expression formula τrIt is brought into equation (4) in, arrangement obtains the accounting equation of optimal drive voltage:
In formula, V is driving voltage value, VthFor the threshold voltage of liquid crystal, the equation is established between driving voltage and phase modulation Relationship, solve equation (5) obtain the optimal drive voltage value of liquid crystal.
CN201811118288.7A 2018-09-26 2018-09-26 A method of designing best overdrive voltage Pending CN109164616A (en)

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Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106125364A (en) * 2016-08-23 2016-11-16 中国科学院光电技术研究所 A kind of measuring method of liquid crystal Phase Modulation Properties based on diffraction grating
CN107369418A (en) * 2017-08-04 2017-11-21 中国科学院光电技术研究所 A kind of liquid crystal based on FPGA is overdrived implementation method
CN107402465A (en) * 2017-08-04 2017-11-28 中国科学院光电技术研究所 A kind of method for building up of over-driving look-up table

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN106125364A (en) * 2016-08-23 2016-11-16 中国科学院光电技术研究所 A kind of measuring method of liquid crystal Phase Modulation Properties based on diffraction grating
CN107369418A (en) * 2017-08-04 2017-11-21 中国科学院光电技术研究所 A kind of liquid crystal based on FPGA is overdrived implementation method
CN107402465A (en) * 2017-08-04 2017-11-28 中国科学院光电技术研究所 A kind of method for building up of over-driving look-up table

Non-Patent Citations (3)

* Cited by examiner, † Cited by third party
Title
HONGYANG GUO ET AL: "《The Research of Overdriving for Liquid Crystal Spatial Light》", 《INTERNATIONAL SYMPOSIUM ON ADVANCES IN ELECTRICAL, ELECTRONICS》 *
杜升平: "《应用于空间光通信的液晶光束偏转技术研究》", 15 September 2017 *
郭弘扬等: "《液晶空间光调制器过驱动方法的FPGA实现》", 《红外与激光工程》 *

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