從文獻中得知有許多針對直下式背光模組的排列組合，大致分成
兩種基本排列，一個為方形排列組合，另一個為三角形排列組合；本
研究選擇了市面上常見的管徑規格當作曲面照度分析之架構，首先依
照照度均勻度的許多種計算方法中，依照計算方式及特性去做分類歸
納。其中本研究是採取照度均勻度最大值和照度最小值之比值的算法
是常見的方式來評估照度均勻度高低。接著去定義其分析面與光源距
離所造成的(σ 對角線距離)長度，同時本研究也去定義了位在內管表
面光源其與對角線的夾角，並指出當光源離分析面距離很接近時，其
光源於內管上夾角為45 度時會有較長的(σ 對角線距離)，去分析在同
一均勻度下其夾角所影響到的對角線長度，為了定義出能控制照度值
不低於最大照度的95%，所以我們把光源對應到分析面上去做分析，
接著利用能量疊加原理Sparrow 標準與Rayleigh 標準來分析曲面分
析面上的照度分佈。在不同管徑之下皆可達到95%的照度均勻度的要
求，且控制光源個數達到最少，並在不同管徑大小下去作光源間距與
光源夾角作圖分析、去探討分析面上所偵測到的照度值與能量效率，
進一步找出能擁有最佳能量效率與照度均勻度之排列方式。

Known from the literature, there are many permutations for direct type
backlight module, roughly divided into two basic arrangement, a
permutation and combination square, another triangular permutations and
combinations; In this study, the common market, when the composer
diameter specifications architecture illuminance analysis, the first of many
kinds of calculation methods in accordance with illumination uniformity in
accordance with the calculation methods and properties do classification
summarized. In this study, which is to take illumination uniformity ratio of
maximum and minimum illumination algorithms is the toughest way to
assess the level of illumination uniformity. Next to define its surface and
the light from the analysis caused by (σ diagonal length) length, but also in
this study to define the position of the inner tube surface light source with
its diagonal angle, and pointed out that when the distance from the surface
light source analysis when very close to the inner tube on which the light
source angle of 45 degrees will be longer, to analyze its uniformity in the
same angle as the diagonal length of the impact, in order to define the
energy control luminance value not less than 95% of the maximum
illumination, so we put a light source corresponds to the surface analysis
do analysis, followed by the energy and the superposition principle
Sparrow criterion Rayleigh criterion to analyze the illuminance distribution
on the surface analysis. Under different diameters Jieke up to 95% of the
requirements of illumination uniformity, and control the number of light
sources to achieve the minimum and down as the light source and the light
source pitch angle plot analysis at different tube sizes, surface analysis to
investigate the investigation the measured luminance value and energy
efficiency, and further identify the arrangement to have optimal energy
efficiency and uniformity of illumination.

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