CN104537217A - Optimization method of spectral power distribution of illuminant and optimization method of spectral power distribution of displayer backlight - Google Patents

Abstract

The invention discloses an optimization method of spectral power distribution of an illuminant. Based on a mathematic model of chromaticity coordinate calculation under a 1931 CIE-XYZ color metering system, with chromaticity coordinate constancy of the illuminant as the constraint condition and lighting efficiency maximization of the illuminant as the optimization object, a proper nonlinear programming problem is constructed accordingly, then the problem is solved through a nonlinear programming function of the Matlab, and finally spectral power distribution at the maximum lighting efficiency under determined chromaticity coordinates is obtained. The invention further discloses an optimization method of spectral power distribution of displayer backlight. On the premise of meeting an existing displayer color range standard, spectral distributions of the primary colors are optimized one by one, relative intensity of spectrums of the primary colors is also optimized, and white field light efficiency maximization can be achieved by synthesizing the displayer backlight at the relative intensity.

Description

The optimization method of working flare and display backlight spectral power distribution

Technical field

The invention belongs to spectral power distribution design field, be specifically related to the optimization method of a kind of working flare and display backlight light source spectral distribution.

Background technology

In recent years, along with urban development, conventional fossil energy day is becoming tight, and the traditional energy source prices such as oil, coal constantly rises, and special international oil price more reaches a history high position, and the situation causing energy supply is further severe.The sustainable exploitation and use of the energy is more and more subject to the attention of the mankind.Illumination is one of mankind's major domain consuming the energy, and in lighting field, how to realize the energy-conservation sustainable use to the energy has extremely important meaning.In order to alleviate increasing energy crisis, propose " green illumination concept " in the world in early 1990s, China also came into effect popularization " Green Lighting Project " in 1996.The important step realizing this plan will develop and promote exactly efficiently, energy-saving illumination utensil.Save lighting electricity consumption, reduces environment and light pollution, sets up the illuminator of high-quality and efficient, economic comfortable, safe and reliable a, useful environment.The content of the green lighting design is: lighting energy saving, lighting and energy saving, contamination preventing, safety and comfort are thrown light on and managed energy-conservation.Its concrete measure comprises: (1) determines rational lighting standard; (2) illumination efficiency is improved by selecting of high efficiency light source, light fixture and reliable annex with rational deployment; (3) natural lighting and illumination intelligent management minimizing power consumption is made full use of; (4) preventing pollution, improves facility maintenance rate.Typically, light source is selected first it is considered that the light efficiency of light source.Specular removal means that power consumption is few under the output prerequisite of equal light, has great significance in economize energy, minimizing power cost.

The light source of specular removal is significant equally for display.The power consumption of general liquid crystal display (LCD) backlight accounts for the overwhelming majority of whole liquid crystal module power consumption under normal circumstances, and therefore the reduction of reduction to whole liquid crystal module power consumption of backlight power consumption is most important.Portable equipment adopts LCD that light efficiency is higher under equal battery capacity condition by the flying power of lifting means.But distinguish to some extent with illumination, for display, the gamut range of display while promoting light efficiency, must be taken into account, otherwise the image quality of display because the decline of color saturation is affected, can be unfavorable for showing final quality-improving equally simultaneously.

Existing scheme is optimized light efficiency by adjusting the methods such as the spectrum peak of light source and half band-width among a small circle, because display device relates at least three kinds of primary colours, by the backlight adjustment of the method for single change white light not suitable displays.

Summary of the invention

In view of this, in order to solve the problem that low the brought energy ezpenditure of working flare luminous efficiency of source is large and power cost is high, the invention provides a kind of spectral power distribution optimization method of working flare, reaching the effect improving luminous efficiency of source.

In order to solve the problem, the optimization method of working flare spectral power distribution provided by the invention, comprises step:

Chromaticity coordinates (the x under corresponding 1931CIE-XYZ meter colour system system is calculated according to the colour temperature meter of working flare _o, y _o);

Constraint condition is fixed as and described working flare light efficiency η is objective function to the maximum, the nonlinear programming problem that structure is of equal value with working flare chromaticity coordinates;

Solve described nonlinear programming problem, and be normalized to solving obtained value the optimum solution obtaining spectral power distribution.

In order to consider physical constraints condition, the energy distribution as each wavelength is nonnegative number and working flare chromaticity coordinates and spectral tristimulus value between relation, the concrete steps of the nonlinear programming problem of described structure equivalence are:

Utilize standard observer's spectral tristimulus value show that 1931CIE-XYZ counts the integral expression of the lower working flare light efficiency η of colour system system;

Through equal interval sampling and integral operation in the integral expression of described working flare light efficiency η is converted to the discrete expression that accumulating operation obtains working flare light efficiency η by discretize;

The nonlinear programming problem of structure is as follows:

Objective function:

$\mathrm{\η}=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)}$

Constraint condition:

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0$

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{y}\left(\mathrm{\λ}\right)-y_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0$

Φ(λ)≥0，(380nm≤λ≤780nm)

Wherein, k is 683lm/W, λ is wavelength, and Φ (λ) is the relative spectral power distribution after working flare normalization.

In order to improve Optimal performance, increase the number of times of iterative computation, sampling interval chooses less integer, and the sampling interval of equal intervals sampling of the present invention is 1nm.

The step solving described nonlinear programming problem is:

If known original working flare spectral distribution, brings this spectral distribution into calculating as initial value, draws optimum solution through iterative computation;

If do not know original working flare spectral distribution, the spectral distribution then choosing the working flare that chromaticity coordinates is similar to brings the spectral distribution after calculating first time optimization into as initial value, then brings the spectral distribution after this optimization into calculate second time and optimize optimum solution according to first time Optimization Steps as initial value.

In order to solve the energy consumption problem of display backlight light source, present invention also offers a kind of optimization method of display backlight spectral power distribution, reaching and not affecting display image quality and energy-conservation effect.

The optimization method of display backlight spectral power distribution provided by the invention, comprises step:

According to the reference color coordinate of each primary colours of gamut standards determination display and the reference color coordinate of white field;

With the reference color coordinate (x of a certain primary colours _p, y _p) be fixed as constraint condition and described primary colours light efficiency is objective function to the maximum, the nonlinear programming problem that structure is of equal value, solve described nonlinear programming problem, and be normalized the optimum spectral distribution of the light efficiency obtaining described a certain primary colours to solving obtained value, according to the method, the optimum spectral distribution of the light efficiency obtaining each primary colours is respectively processed to all primary colours;

Calculated the spectrum relative intensity of each primary colours by structure linear programming problem, and calculate each primary intensities gain coefficient n _p;

According to described each primary intensities gain coefficient n _pthe optimization Spectral beam combining display backlight spectrum of all primary colours is obtained the backlight spectra BL (λ) of final optimization pass.

Further, the concrete steps constructing nonlinear programming are:

Utilize standard observer's spectral tristimulus value show that 1931CIE-XYZ counts the lower primary colours light efficiency η of colour system system _pintegral expression;

Through equal interval sampling and discretize by described primary colours light efficiency η _pintegral expression in integral operation be converted to accumulating operation and obtain this primary colours light efficiency η _pdiscrete expression;

The nonlinear programming problem of structure is as follows:

Objective function:

${\mathrm{\η}}_p=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)}$

Constraint condition:

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0$

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{y}\left(\mathrm{\λ}\right)-y_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0$

Φ _p(λ)≥0，(380nm≤λ≤780nm)

Wherein, coefficient k is 683lm/W, Φ _p(λ) be p kind primary normalized after relative spectral power distribution, (x _p, y _p) be the reference color coordinate of p kind primary colours.

The linear programming problem constructed in order to the spectrum relative intensity calculating each primary colours is as follows:

Objective function:

$Y_w=\underset{p=1}{\overset{m}{\mathrm{\Σ}}}{n}_p{Y}_p$

Constraint condition:

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Π}}}{y}_p\right)Y_p(x_p-x_w)\right]n_p=0$

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Π}}}{y}_p\right)Y_p(x_p-x_w)\right]n_p=0$

n _p≥0，(0≤p≤m)

In formula,

$Y_p=\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)$

Y _wfor the bright number of white field flow, m is the primary colours kind number of display, n _pbe p kind primary intensities gain coefficient, Y _pbe p kind primary colours separately luminous time maximum lumen number, for Spectral matching function, λ is wavelength, (x _w, y _w) be white field chromaticity coordinates, Φ _pl(λ) be the optimization spectral distribution of p kind primary colours, (x _p, y _p) be the reference color coordinate of p kind primary colours.

Consider the image-forming principle of the passive luminescence of liquid crystal display, display backlight needs color chips after filtration to select look, therefore the final backlight spectra value in certain wavelength place is all primary colours optimizes the maximal value of spectrum at this place and just can meet the demands, situation lower than maximal value relies on the change of different color filter spectral transmittance to regulate and obtains, and therefore backlight spectra BL (λ) formula of final optimization pass is as follows:

$\underset{380\mathrm{nm}\≤\mathrm{\λ}\≤780\mathrm{nm}}{\mathrm{BL}\left(\mathrm{\λ}\right)}=\max (n_1{\mathrm{\Φ}}_{1l}\left(\mathrm{\λ}\right),n_2{\mathrm{\Φ}}_{2l}\left(\mathrm{\λ}\right),...,n_p{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right),...n_m{\mathrm{\Φ}}_{\mathrm{ml}}\left(\mathrm{\λ}\right)).$

Compared with prior art, the present invention comprises following advantage:

The spectral power distribution optimization method of working flare provided by the invention, is made by sample variance process accumulating operation is converted to by integral operation, for the foundation of nonlinear programming problem and computer disposal provide condition, sampling interval elects 1nm as simultaneously, make the value infinite approach of cumulative income value and continuous integration, provide condition for calculating acquired results infinite approach theoretially optimum value, meanwhile, computing machine is not when having initial value, carry out two suboptimization, also achieve the convergence of acquired results to theoretially optimum value.

The optimization method of display backlight spectral power distribution provided by the invention, on the optimization basis taking into full account working flare spectral power distribution, in conjunction with the limit structure linear programming problem of the backlight principle of display, primary colours gamut range and white field chromaticity coordinates, realize the spectral power distribution optimization to display backlight.

Accompanying drawing explanation

Fig. 1 is the optimization method process flow diagram of the working flare spectral power distribution provided in embodiment 1;

Fig. 2 is that in embodiment 1, working flare spectrum optimizes comparison diagram;

Fig. 3 is ligulate figure limit light efficiency contour map in embodiment 1;

Fig. 4 is the optimization method process flow diagram of the display backlight spectral power distribution provided in embodiment 2;

Fig. 5 is that in embodiment 2, NTSC standard RGB primary colours optimize spectral distribution;

Fig. 6 is that in embodiment 2, NTSC standard indicator optimizes backlight spectra.

Embodiment

Below in conjunction with embodiment, the present invention is further described.

The optimization method of the spectral power distribution to working flare is described in detail by embodiment 1.

As shown in Figure 1, the concrete steps of the optimization method of spectral power distribution are as follows:

1. calculate the chromaticity coordinates (x under corresponding 1931CIE-XYZ meter colour system system according to the colour temperature meter of working flare _o, y _o).

2. combined standard observer spectral tristimulus value the computing formula that 1931CIE-XYZ counts the lower chromaticity coordinates (x, y) of colour system system is as follows:

$\begin{array}{c}X={\∫}_{380}^{780}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)\mathrm{d\λ},Y={\∫}_{380}^{780}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)\mathrm{d\λ},Z={\∫}_{380}^{780}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{z}\left(\mathrm{\λ}\right)\mathrm{d\λ}\\ x=\frac{X}{X+Y+Z},y=\frac{Y}{X+Y+Z}\end{array}---\left(1\right)$

In formula (1), X, Y, Z are respectively the tristimulus values of the corresponding coloured light of this working flare, and Φ (λ) is the relative spectral power distribution after working flare normalization.The light efficiency η computing formula of working flare is as follows:

$\mathrm{\η}=\frac{k{\∫}_{380}^{780}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)\mathrm{d\λ}}{{\∫}_{380}^{780}\mathrm{\Φ}\left(\mathrm{\λ}\right)\mathrm{d\λ}}---\left(2\right)$

In formula (2), coefficient k is 683lm/W.

3. discretize function.Due to be statistics, do not have the analytic expression of generally acknowledging corresponding with it, so the function distribution involved by being calculated by chromaticity coordinates is all by wavelength equal interval sampling and integral operation is converted to accumulating operation by discretize, after discretize, the computing formula of chromaticity coordinates is as follows:

$x=\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{x}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{}{\stackrel{\‾}{w}}\left(\mathrm{\λ}\right)},y=\frac{\underset{\mathrm{\λ}380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{w}\left(\mathrm{\λ}\right)},\stackrel{\‾}{w}\left(\mathrm{\λ}\right)=\stackrel{\‾}{x}\left(\mathrm{\λ}\right)+\stackrel{\‾}{y}\left(\mathrm{\λ}\right)+\stackrel{\‾}{z}\left(\mathrm{\λ}\right)---\left(3\right)$

The light efficiency η computing formula of working flare becomes:

$\mathrm{\η}=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)}---\left(4\right)$

Take sampling interval as 1nm be example, after discretize, all functions by Wavelength distribution (380nm ~ 780nm) in visible-range all comprise 401 elements.

4. equivalent constructions nonlinear programming problem.According to the discrete function in step 3, do not become constraint condition with working flare chromaticity coordinates, light efficiency value is objective function to the maximum, the nonlinear programming problem that structure is of equal value.Concrete constraint condition is the system of linear equations comprising two equatioies, as follows:

$\left\{\begin{array}{c}\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0\\ \underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{y}\left(\mathrm{\λ}\right)-y_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0\end{array}\right.---\left(5\right)$

$\stackrel{\‾}{w}\left(\mathrm{\λ}\right)=\stackrel{\‾}{x}\left(\mathrm{\λ}\right)+\stackrel{\‾}{y}\left(\mathrm{\λ}\right)+\stackrel{\‾}{z}\left(\mathrm{\λ}\right)$

Objective function is formula (4) and requires that this transition formula evaluation is maximum.In addition owing to waiting that separating function expression exists physical significance, namely in Φ (λ), the value of each wavelength is energy distribution intensity, therefore value non-negative, Φ (λ) >=0, (380nm≤λ≤780nm).This linear programming problem final comprises 401 unknown numbers, 2 equality constraints, 401 inequality constrain conditions.

5. utilize the mathematical tools such as Matlab to solve above-mentioned nonlinear programming problem, the solution obtained is the working flare relative spectral power distributions of optimization through normalized, and this spectral distribution is ensureing to improve light efficiency under the prerequisite that Original Photo light colour temperature is constant.The initial value bringing working flare backlight into is needed in the process solving nonlinear programming, if known original working flare spectral distribution function, then bring calculating in this, as initial value, as do not known original working flare spectral distribution function, the spectrum can choosing the working flare that chromaticity coordinates is similar to brings calculating into, but the value possibility also non-optimal now after a suboptimization, can bring into the spectral distribution after a suboptimization in mathematical tool as initial value secondary and calculate.Result after iteration twice will restrain to optimal result.Fig. 2 is the optimum results of certain working flare spectral distribution, and before not optimizing, the theoretical light efficiency of working flare original spectrum distribution is 237.6lm/W, and the theoretical light efficiency after optimization is promoted to 321.8lm/W.

So far, the optimization spectral distribution corresponding to coloured light that 1931CIE-XYZ counts in the lower colour gamut ligulate figure of colour system system representated by any point, non-edge can be realized by above-mentioned Optimization Steps, as shown in Figure 3, optimization range can cover whole ligulate figure colour gamut, for providing the foundation for the spectrum optimization of display primary colours and backlight.

Because some light source must take into account gamut range, as display backlight source, so embodiment 2 is described in detail to the optimization method of spectral power distribution on the basis of embodiment 1 for display backlight source while lifting light efficiency.

As shown in Figure 4, the concrete steps of display backlight source spectral power distribution optimization method are as follows:

1. determine the primary colours gamut range of display.For traditional three primary display, general gamut standards can provide red, green, blue three primary colours and white field totally four groups of chromaticity coordinatess, in such as NTSC standard (National TelevisionStandards Committee, Unite States Standard (USS) television broadcast transmissions and reception agreement), red, green, blue, white chromaticity coordinates regulation are respectively (x _r, y _r)=(0.67,0.33), (x _g, y _g)=(0.21,0.71), (x _b, y _b)=(0.14,0.08), (x _w, y _w)=(0.31,0.316).

2., according to specifying primary colours reference color coordinate in step 1, utilize the step in embodiment 1 can obtain the optimum spectral distribution of light efficiency of each primary colours respectively, concrete steps are as follows:

Constraint condition is fixed as and described primary colours light efficiency is objective function to the maximum with the reference color coordinate of a certain primary colours, the nonlinear programming problem that structure is of equal value, solve described nonlinear programming problem, and be normalized the optimum spectral distribution of the light efficiency obtaining described a certain primary colours to solving obtained value, according to the method, the optimum spectral distribution of the light efficiency obtaining each primary colours is respectively processed to all primary colours.

Illustrate the concrete steps of the light efficiency Optimal Distribution calculating a certain primary colours below for p kind primary colours, these p kind primary colours can be certain primary colours of any one or other standards in NTSC standard in red, green, blue, and concrete steps are as follows:

1931CIE-XYZ counts the lower primary colours light efficiency η of colour system system to utilize standard observer's spectral tristimulus value x (λ), y (λ), z (λ) to draw _pintegral expression;

Through equal interval sampling and discretize by primary colours light efficiency η _pintegral expression in integral operation be converted to accumulating operation and obtain this primary colours light efficiency η _pdiscrete expression;

Above-mentioned expression formula is utilized to construct nonlinear programming problem, objective function:

${\mathrm{\η}}_p=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)}---\left(6\right)$

Constraint condition:

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0$

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0---\left(7\right)$

Φ _p(λ)≥0，(380nm≤λ≤780nm)

Wherein, coefficient k is 683lm/W, Φ _p(λ) be p kind primary normalized after relative spectral power distribution, (x _p, y _p) be the reference color coordinate of p kind primary colours.

Utilize the mathematical tools such as Matlab to solve above-mentioned nonlinear programming problem, the solution obtained is the relative spectral power distributions after the optimization of p kind primary colours through normalized.For NTSC standard, optimize spectral distribution as shown in Figure 5, after optimizing, the theoretical light valid value of R, G, B three primary colours is respectively 330.8lm/W, 612.9lm/W, 101.9lm/W.

3. calculate the relative intensity of each primary colours spectrum.Because the chromaticity coordinates of gamut standards dialogue field also has regulation, this white requiring display to synthesize when primary colours all reach the strongest should equal the white field chromaticity coordinates of standard regulation just, needs again to utilize the light intensity of each primary colours to make total brightness during white field maximum as much as possible simultaneously.If display exists m kind primary colours, the spectral intensity gain coefficient of often kind of primary colours is respectively n ₁, n ₂n _pn _m.Then in order to ensure that white field chromaticity coordinates is (x _w, y _w), following equations group should be met:

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Π}}}{y}_p\right)Y_p(x_p-x_w)\right]n_p=0$

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Π}}}{y}_p\right)Y_p(x_p-x_w)\right]n_p=0---\left(8\right)$

n _p≥0，(0≤p≤m)

Y in formula (6) _pbe p kind primary colours separately luminous time maximum lumen number,

$Y_p=\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)$

Φ _pl(λ) be the optimization spectral distribution for p kind primary colours, (x _p, y _p) be the reference color coordinate of p kind primary colours.White brightness requires maximum, is the bright several Y of white field flow _wget maximal value, as shown in the formula:

$Y_w=\underset{p=1}{\overset{m}{\mathrm{\Σ}}}{n}_p{Y}_p---\left(9\right)$

With formula (6) for constraint condition, formula (7) is for objective function and require that formula (7) gets maximal value, can construct a linear programming problem.Each gain coefficient non-negative, i.e. n _p>=0, (0≤p≤m).This linear programming problem final comprises m unknown number, the constraint condition of two equatioies and m inequality constrain condition.Utilize the mathematical tool conditions of bringing into such as Matlab can obtain each primary intensities gain coefficient n _p.

4. display backlight synthesis.After obtaining each primary lights spectral intensity gain coefficient in step 3, in the optimization Spectral beam combining display backlight spectrum of coefficient ratio by all primary colours.Due to the image-forming principle of the passive luminescence of liquid crystal display, display backlight needs color chips after filtration to select look, therefore the final backlight spectra value in certain wavelength place is all primary colours optimizes the maximal value of spectrum at this place and just can meet the demands.Situation lower than maximal value relies on the change of different color filter spectral transmittance to regulate and obtains, and namely backlight spectra BL (λ) formula of final optimization pass is as follows:

$\underset{380\mathrm{nm}\≤\mathrm{\λ}\≤780\mathrm{nm}}{\mathrm{BL}\left(\mathrm{\λ}\right)}=\max (n_1{\mathrm{\Φ}}_{1l}\left(\mathrm{\λ}\right),n_2{\mathrm{\Φ}}_{2l}\left(\mathrm{\λ}\right),...,n_p{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right),...n_m{\mathrm{\Φ}}_{\mathrm{ml}}\left(\mathrm{\λ}\right))---\left(10\right)$

The red-green-blue gain of NTSC standard emphasizes that ratio is n _r: n _g: n _b=0.8875:0.5742:1.The optimization backlight spectra distribution of final synthesis is as Fig. 6, and the theoretical light efficiency of this optimization backlight spectra reaches 335.5lm/W, excites the backlight of generation to improve 70%, improve 57% than quantum dot backlight light efficiency than current by common phosphors.

More than describe the preferred embodiment of the present invention in detail; but the present invention is not limited to the detail in above-mentioned embodiment, within the scope of technical conceive of the present invention; can carry out multiple equivalents to technical scheme of the present invention, these equivalents all belong to protection scope of the present invention.

Claims (10)

1. an optimization method for working flare spectral power distribution, is characterized in that, comprises step:

Determine that corresponding 1931CIE-XYZ counts the chromaticity coordinates (x under colour system system according to the colour temperature of working flare _o, y _o);

With working flare chromaticity coordinates (x _o, y _o) be fixed as constraint condition and described working flare light efficiency η is objective function to the maximum, the nonlinear programming problem that structure is of equal value;

Solve described nonlinear programming problem, and be normalized to solving obtained value the optimum solution obtaining spectral power distribution.

2. the optimization method of working flare spectral power distribution as claimed in claim 1, is characterized in that, the concrete steps of the nonlinear programming problem that described structure is of equal value are:

Utilize standard observer's spectral tristimulus value show that 1931CIE-XYZ counts the integral expression of the lower working flare light efficiency η of colour system system;

Through equal interval sampling and integral operation in the integral expression of described working flare light efficiency η is converted to the discrete expression that accumulating operation obtains working flare light efficiency η by discretize;

The nonlinear programming problem of structure is as follows:

Objective function:

$\mathrm{\η}=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}\mathrm{\Φ}\left(\mathrm{\λ}\right)}$

Constraint condition:

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0$

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{y}\left(\mathrm{\λ}\right)-y_o\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]\mathrm{\Φ}\left(\mathrm{\λ}\right)=0$

Φ(λ)≥0，(380nm≤λ≤780nm)

Wherein, coefficient k is 683lm/W, λ is wavelength, and Φ (λ) is the relative spectral power distribution after working flare normalization.

3. the optimization method of working flare spectral power distribution as claimed in claim 2, it is characterized in that, the sampling interval of described equal interval sampling is 1nm.

4. the optimization method of working flare spectral power distribution as claimed in claim 2 or claim 3, it is characterized in that, the step solving described nonlinear programming problem is: bring original working flare spectral distribution into calculating as initial value, draw optimum solution through iterative computation.

5. the optimization method of working flare spectral power distribution as claimed in claim 2 or claim 3, it is characterized in that, the step solving described nonlinear programming problem is: the spectral distribution choosing the working flare that chromaticity coordinates is similar to brings the spectral distribution after calculating first time optimization into as initial value, then brings the spectral distribution after this optimization into calculate second time and optimize optimum solution according to first time Optimization Steps as initial value.

6. an optimization method for display backlight spectral power distribution, is characterized in that, comprises step:

According to the reference color coordinate of each primary colours of gamut standards determination display and the reference color coordinate of white field;

With the reference color coordinate (x of a certain primary colours _p, y _p) be fixed as constraint condition and described primary colours light efficiency is objective function to the maximum, the nonlinear programming problem that structure is of equal value, solve described nonlinear programming problem, and be normalized the optimum spectral distribution of the light efficiency obtaining described a certain primary colours to solving obtained value, according to the method, the optimum spectral distribution of the light efficiency obtaining each primary colours is respectively processed to all primary colours;

Calculated the spectrum relative intensity of each primary colours by structure linear programming problem, and calculate each primary intensities gain coefficient n _p;

According to described each primary intensities gain coefficient n _pthe optimization Spectral beam combining display backlight spectrum of all primary colours is obtained the backlight spectra BL (λ) of final optimization pass.

7. the optimization method of display backlight spectral power distribution as claimed in claim 6, is characterized in that, the concrete steps of the nonlinear programming problem that described structure is of equal value are:

Utilize standard observer's spectral tristimulus value show that 1931CIE-XYZ counts the lower primary colours light efficiency η of colour system system _pintegral expression;

Through equal interval sampling and discretize by described primary colours light efficiency η _pintegral expression in integral operation be converted to accumulating operation and obtain this primary colours light efficiency η _pdiscrete expression;

The nonlinear programming problem of structure is as follows:

Objective function:

${\mathrm{\η}}_p=k\·\frac{\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)}{\underset{\mathrm{\λ}380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)}$

Constraint condition:

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{x}\left(\mathrm{\λ}\right)-x_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0$

$\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}[\stackrel{\‾}{y}\left(\mathrm{\λ}\right)-y_p\stackrel{\‾}{w}\left(\mathrm{\λ}\right)]{\mathrm{\Φ}}_p\left(\mathrm{\λ}\right)=0$

Φ _p(λ)≥0，(380nm≤λ≤780nm)

Wherein, coefficient k is 683lm/W, Φ _p(λ) be p kind primary normalized after relative spectral power distribution, (x _p, y _p) be the reference color coordinate of p kind primary colours.

8. the optimization method of display backlight spectral power distribution as claimed in claim 7, it is characterized in that, the sampling interval of described equal interval sampling is 1nm.

9. the optimization method of display backlight spectral power distribution as claimed in claim 7 or 8, it is characterized in that, described linear programming problem is as follows:

Objective function:

$Y_w=\underset{p=1}{\overset{m}{\mathrm{\Σ}}}{n}_p{Y}_p$

Constraint condition:

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Σ}}}{y}_q\right)Y_p(x_p-x_w)\right]n_p=0$

$\underset{p=1}{\overset{m}{\mathrm{\Σ}}}\left[\left(\underset{q=1,q\≠p}{\overset{m}{\mathrm{\Σ}}}{y}_q\right)Y_p(y_p-y_w)\right]n_p=0$

n _p≥0，(0≤p≤m)

In formula,

$Y_p=\underset{\mathrm{\λ}=380\mathrm{nm}}{\overset{780\mathrm{nm}}{\mathrm{\Σ}}}{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right)\stackrel{\‾}{y}\left(\mathrm{\λ}\right)$

Y _wfor the bright number of white field flow, m is the primary colours kind number of display, n _pbe p kind primary intensities gain coefficient, Y _pbe p kind primary colours separately luminous time maximum lumen number, for Spectral matching function, λ is wavelength, (x _w, y _w) be white field chromaticity coordinates, Φ _pl(λ) be the optimization spectral distribution of p kind primary colours, (x _p, y _p) be the reference color coordinate of p kind primary colours.

10. the optimization method of display backlight spectral power distribution as claimed in claim 9, it is characterized in that, backlight spectra BL (λ) formula of described final optimization pass is as follows:

$\underset{380\mathrm{nm}\≤\mathrm{\λ}\≤780\mathrm{nm}}{\mathrm{BL}\left(\mathrm{\λ}\right)}=\max (n_1{\mathrm{\Φ}}_{1l}\left(\mathrm{\λ}\right),n_2{\mathrm{\Φ}}_{2l}\left(\mathrm{\λ}\right),...,n_p{\mathrm{\Φ}}_{\mathrm{pl}}\left(\mathrm{\λ}\right),...n_m{\mathrm{\Φ}}_{\mathrm{ml}}\left(\mathrm{\λ}\right)).$