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随笔档案

一、光源模型概述

在成像系统中，光源作为成像过程中的重要环节，需要对其进行良好的模型建立，从而深入理解在渲染或实际成像过程中的需求，通过理解光源模型，从而设置合理的曝光时间、光圈大小等参数，对实际工程应用领域也有非常重要的指导作用。

二、光源基础模型

1. 定向光（Directional Light)

定向光是最简单的光源模型，也叫平行光，通常用于模拟太阳、月亮这类无限远的光。光照亮度 $C_{light}$ 和光的方向 $L$ 都是定值，除了光照亮度 $C_{light}$ 可能会由于阴影而衰减。定向光没有位置，当然，真实的光源都是有位置的。定向光对于光源到场景的距离远大于场景大小的情况。例如：太阳，除了场景在太阳系星球的内部的情况。但有时为了性能或者为了一些特殊效果，也可以把定向光限制在一个“盒子”里面，其方向仍然唯一不变，但颜色有所差异，比如盒子外的颜色为纯黑，而内部的颜色可以是常量也可以是某种插值获得的结果。

2. 点光源(Punctual Light)

Punctual Light 不是按时赴约的光，而是有位置的光源。用 Punctual 是来自于拉丁语 puctues ，意思是点。点光源不仅有位置，而且均匀的射像空间中所有方向。点光源的方向 $l$ 依赖于光的位置 $p_{light}$ 和着色点的位置 $p_0$ , $l=\frac{p_{light} - p_0}{\vert p_{light} - p_0 \vert}$ .
也可以写成：
$d=p_{light} - p_0, r=\sqrt {\vec d \cdot \vec d}, l=\frac{d}{r}$ ，其中的 $r$ 不仅可以用于方向向量的归一化，而且可以来计算光照亮度的衰减。
点光源的强度会随着距离增加而衰减，且与距离的平方成反比，即：

c_{l i g h t} (r) = c_{l i g h t 0} \cdot (\frac{r_{0}}{r})^{2}

$c_{light}(r)=c_{light0} \cdot (\frac{r_0}{r})^2$

$c_{light0}$ 是距离为 $r_0$ 处的光照亮度，由于点光源均匀的向四面大方发射光，将点光源抽象为一个球面波，所以辐照度为 $E=\frac{\Phi}{4\pi R^2}$ 。
为了防止 $r=0$ 时，分母为 0 导致出现无限大的光强，所以诸如 UE引擎里面会在分母上加一个小的参数：

c_{l i g h t} (r) = c_{l i g h t 0} \cdot (\frac{r_{0}^{2}}{r^{2} + δ})

$c_{light}(r)=c_{light0} \cdot (\frac{r_0 ^2}{r^2+\delta})$

这里设置光源半径最小值可能更符合实际光源的情况(实际光源有尺寸大小)，这里使用 $r_{min}$ 作为实际光源的尺寸：

c_{l i g h t} (r) = c_{l i g h t 0} \cdot (\frac{r_{0}^{2}}{m a x (r, r_{m i n})^{2}})

$c_{light}(r)=c_{light0} \cdot (\frac{r_0 ^2}{max(r,r_{min})^2})$

此外，在实际运用中，通常为了性能考虑，需要对随距离平方衰减的光强再乘以一个窗口函数 (windowing function )，毕竟远处的光很弱，我们可不想为了这些微弱的光徒增计算量，如下图展示了UE4里面点光源及其半径：

注意上图中，在光源最大半径范围以外的区域，是没有计算这个光源光照的，且交界处都有平滑过渡的感觉，所以需要合理设计窗口函数，使光强缓慢衰减且刚好在截止半径处衰减为0。
下图展示了一种窗口函数对于光衰减的影响：

WindowFunction:

f_{w i n (r)} = (1 - (\frac{r}{r_{m a x}})^{4})^{+}; f < 0, f_{w i n (r)} = 0.

$f_{win(r)}=(1-(\frac{r}{r_{max}})^4)^+;f < 0,f_{win(r)}=0.$

PythonCode:

import matplotlib.pyplot as plt
import numpy as np
LightRidian = 1
R0 = 2
Sigma = 0.0001
Rmax = 6
r = np.linspace(R0,10,100)
E = LightRidian*R0*R0/(r**2+Sigma)
F_window = 1 - (r/Rmax)**4
F_window_Res = (F_window + abs(F_window)) / 2
Res = E * F_window_Res
plt.plot(r, F_window_Res, color='red', label='F_window: WindowFunc')
plt.plot(r, E, color='green',label='E: Ridian')
plt.plot(r, Res, color='blue', label='E*F_window: Result')
plt.legend()
plt.show()

3. 聚光灯(Spotlight)

前面所述的点光源，其光强虽然会随着距离而衰减，但是各个方向上是等同的，而此处的聚光灯，更进一步考虑了光强在不同方向上的函数分布。即：

c_{l i g h t} = c_{l i g h t 0} f_{d i s t} (r) f_{d i r} (l)

$c_{light}=c_{light0}f_{dist}(r)f_{dir}(l)$

下面我们来确定 $f_{dir}$ 函数，一个常见的聚光灯模型如图所示：

锥之间的范围称为半影(penumbra)。内外圆锥的内角分别为和。聚光灯可计算一个聚光灯系数，范围为[0,1]，代表某方向的放射比率。内圆锥中系数为1(最亮)，内圆锥和外圆锥之间系数由1逐渐变成0。另外，可用另一参数p代表衰减(falloff)，决定内圆锥和外圆锥之间系数变化。方程式如下:

s p o t (α) = {\begin{aligned} 1 i f c o s α \geq c o s \frac{θ}{2} \\ \frac{c o s α - c o s \frac{ϕ}{2}}{c o s θ - c o s \frac{ϕ}{2}} i f c o s \frac{ϕ}{2} < c o s α < c o s \frac{θ}{2} \\ 0 i f c o s α < c o s \frac{θ}{2} \end{aligned}

$spot(\alpha)=\left\{ \begin{aligned} 1 \quad if \; cos\alpha \ge cos\frac{\theta}{2} \\ \frac{cos\alpha - cos\frac{\phi}{2}}{cos\theta - cos\frac{\phi}{2}} \quad if \; cos\frac{\phi}{2} \lt cos\alpha \lt cos\frac{\theta}{2} \\ 0 \quad if \; cos\alpha \lt cos\frac{\theta}{2} \end{aligned} \right.$

ue中的聚光灯如下图：

三、光源模型软件使用@IES Viewer

配光曲线是指光源（或灯具）在空间各个方向上的光强分布。在通过光源中心的测光平面上，测出灯具在不同角度的光强值。从某一方向起，以角度为函数，将各角度的光强用矢量标注出来，连接矢量顶端的连接就是照明灯具极坐标配光曲线。如果灯具有旋转对称轴，则只需用通过轴线的一个测光面上的光强分布曲线就能说明其光强在空间的分布，如果灯具在空间的光分布是不对称的，则需要若干测光平面的光强分布曲线才能说明其光强的空间分布状况。
🐶 IES文件作用：

IES说到底就是一个灯具，把它导入照明运用的软件中，如AGI、DIALux等计算软件可导入IES文件使用，就可以看到这款灯具所有的配光参数，以及光通量等。
利用IES文件，我们可以省去很多的实践时间，直接计算出某区域安装这款灯具会达成什么样的效果。
可以更快速的做出照明设计工程亮化方案。

1. 配光曲线最常见的两种表达方式

a. 直角坐标表示法

对于聚光型灯具，由于光束集中在十分狭小的空间立体角内，很难用极坐标来表达其光强度的空间分布状况，就采用直角从配光曲线表示法，以竖轴表示光强图I，以横轴表示光束的投角，如果是具有对称旋转轴的灯具则只需一条配光曲线来表示，如果是不对称灯具则需多条配光曲线表示。

b. 极坐标表示法

在通过光源中心的测光平面上，测出灯具在不同角度的光强值。从某一方向起，以角度为函数，将各角度的光强用矢量标注出来，连接矢量顶端的连接就是照明灯具极坐标配光曲线。如果灯具是有旋转对称轴，则只需用通过轴线的一个测光面上的光强分布曲线就能说明其光强在空间的分布，如果灯具在空间的光分布是不对称的，则需要若干测光平面的光强分布曲线才能说明其光强的空间分布状况。

🌻 图解配光曲线:

配光曲线解析：

峰值光强： 从图中可以看出大概 $I_{max}=1611cd$ ，峰值光强的大小决定照明的强度和照度。（当然影响照度和强度的因素还反光杯的角度和照射距离有关）.
50% 峰值光强： $1/2 I_{max}=805.5cd$ ，这里主要是为了看光束角.
半峰边角： 在选定最大光强的平面上，两个为 50% 的最大光强之间的夹角称为半峰边角。从上图可以看出左右各 $60°$ 相加约等于 $120°$ ，光束角的大小决定光斑的大小，跟照射效果息息相关.
有效光束角(10％峰值光强)： 在选定最大光强的平面上，两个为 10% 的最大光强之间的夹角称为该平面的有效光束角。从上图中可以看出左右大概各 $80°$ 相加约等于 $160°$ .

2. IES文件介绍

I. 灯具标准文件有什么作用？

随着照明技术的不断发展，计算机辅助照明设计软件（DIALux）被广泛应用于如今的照明设计中。为了使记录灯具信息的文件可以被各照明应用软件正确读取，由此必须采用标准的电子文档格式书写。正确理解灯具标准文件电子文档格式可以更好的掌握灯具的参数信息。

II. 灯具的标准文件有哪些？

标准名称	标准起草协会
IES LM-63	北美照明工程师社区（Illumination Engineering Society of North America）
EULUMDAT	德国柏林照明咨询公司（Light Consult Inc. Berlin Germany）
CIBSE TM-14	英国注册建筑服务工程师协会（Chartered Institution of Building Services Engineers）
CIE 102	国际照明协会（International Commission on illumination）
LTLI	丹麦照明工程实验室（Danish Illuminating Engineering Laboratory）
TBT	东芝株式会社（Toshiba Corporation）

III. IES灯具的标准文件的发展

1986年，北美照明工程师协会IESNA(IlluminationEngineering Society of North America)出版了灯具和光源配光电子文档的工业标准格式，即 (IESNA LM-63-1986：IES Recommended StandardFile Format for Electronic Transfer Photometric Data)。在该标准出版不久很快地被北类照明制造业厂家与照明计算软件开发公司采用。
此标准于1991年、1995年和2002年分别做了三次修订，增加了一些关键词、澄清了一些内容，并其将标题修订为“IES Standard File Format for Electronic Transfer Photometric Dataand Related Information”。目前使用的2002年标准已经于2002年8月获得美国国家标准学会ANSI(American National Standards Institute)批准认可，并成为北美唯一使用的配光文件格式。

IV. 我们如何获取IES文件？

通常我们可使用分布光度计对灯具进行测量，从而导出IES文件，具体参考光学成像系统 Part II - 光源IES文件测试 (三)

V. 通过IES文件可以得到哪些数据？

IES文件主要存储了灯具的空间光强分布。我们可以通过直接或间接的方式得到：光强分布曲线、光强数据、光束角、总光通量、灯具效率、区域光通量、上射光通量、下射光通量、亮度分布、利用系数、亮度限制曲线、眩光等级、最大允许距离比、等照度曲线、有效平均照度曲线等。

VI. IES灯具标准文件格式是怎样的？ 🚀

     首先是文件名称，所有IESNA LM-63格式的配光曲线文件名都必须以“.ies”“ .IES ”作为扩展名。对于文件里面的内容可参见图1，为了便于理解，我将IES灯具标准文件进行了划分（官方并无相关划分内容）。
1. 文件类型部分
     文件的第一行必须为IESNA 91、IESNA：LM-63-1995或IESNA：LM-63-2002以便表示IES灯具标准文件的开始。
2. 关键字部分
     关键字主要用于描述灯具以及测试信息，一般不会对计算机辅助照明设计结果产生影响，但是 IES文件标准中规定了部分关键字是必须项（图2为IES LM-63-2002所定义的全部关键词）主要包含如下的部分：

[TEST] 测试报告编号 （必填）
[TESTLAB] 测试实验室（必填）
[ISSUEDATE] 制造商发布IESNA: LM-63-2002文件的日期（必填）
[MANUFAC] 灯具制造商（必填）
[LUMCAT] 灯具编码
[LUMINAIRE] 灯具描述
[LAMPCAT] 光源编码
[LAMP] 光源描述

3. 光源倾斜产生的光输出变化部分
TILT= 这一行表示光输出是否随着灯具倾斜角度的变化而变化。

如果灯的输出不随倾斜角度的变化而变化，显示：TILT=NONE
如果灯的输出随着倾斜角度的变化而变化，显示：TILT=INCLUDE

光源相对于灯具的位置 （1，2，3）
划分倾斜角度的数量（整数）
角度数值
倾斜角度对应的光输出变化系数

🚗 注：

光源相对于灯具的位置（1，2，3）: Value=1（灯体向下直照）当灯具向正下方直接照射时，光源垂直朝上或垂直朝下；Value=2（光源不随灯体旋转而旋转）当灯具向正下方直接照射时，光源呈水平状态。当灯具在0°水平面旋转时，光源仍保持水平；Value=3（光源随灯体旋转而旋转）当灯具向正下方直接照射时，光源呈水平状态。当灯具在0°水平面旋转时，光源会同步旋转。
划分倾斜角度的数量（整数）
角度大小的个数需与划分数一致，并以递增的方式逐一列出，其数值范围为 0°~90° 或 0°~180°。
倾斜角度对应的光输出变化系数需与划分数一致，其数值范围一般为 0~1 。

4. 灯具基本参数部分
灯具基本参数部分包含了较多在计算机辅助照明设计会调用的数据，其数值的改变会对计算机辅助照明设计结果产生影响。其包括：灯具数量、每只灯具的光通量、光强乘数因子、垂直角度的数量、水平角度的数量、配光曲线种类、单位的种类、发光面宽、发光面长、发光面高、镇流器系数、文件生成类型、输入功率。其具体的填写顺序如下：

第一行：
<光源数量><每只光源的光通量><光强的乘数因子><垂直角度的数量><水平角度的数量><配光曲线种类><单位的种类><发光面宽><发光面长><发光面高>
第二行：
<镇流器系数><文件生成类型><输入功率>

🚗 注：

光源数量为灯具中光源的总数。（整数）
每个光源的光通量
在光度测试时，当光源光通量不是配光测试基础（相对配光），其值为-1。（灯具的总光通量=光源的光通量）
在光度测试时，当光源光通量是配光测试基础（绝对配光），其值为每个光源的平均光通量。（灯具的总光通量=每个光源的光通量x 光源的数量）
光强乘数因子用于乘以文件中光强值的系数，通常为1。
光强乘数因子用于乘以文件中光强值的系数，通常为1。
垂直角度的数量为在光度测试结果中垂直角度的个数。（整数）
水平角度的数量为在光度测试结果中水平角度的个数。（整数）
配光曲线种类用于描述光度测试的平面。（1、2、3）
Value=1（Type C-γ）；Value=2（Type B-β）；Value=3（Type A-α）
单位的种类用于描述光度测试时使用的单位。（1、2）
Value=1（ft，英尺）；Value=2（m，米）
发光面宽指沿着90°-270°的光度测试平面测量发光开口的距离。
发光面长指沿着0°-180°的光度测试平面测量发光开口的距离。
发光面高指发光体开口的平均高度。

长度和宽度问题，对于轴对称（圆形）灯具和正方形灯具是不存在问题的，主要是对长宽不相等的灯具要注意。GB/T 22907-2008中规定第三根轴是灯具的“长轴”，且在90°-270°平面内。而IESNA LM-63根据测试平面规定90°-270°平面方向是“宽度”。因此，在实际测试时，要注意长形灯具在测试机架上的安置要符合GB/T 22907-2008要求，而在IES文件中填写长度和宽度数据时要符合LM-63-02要求。由于在IESNA LM-63的数据格式规定中，“长度”和“宽度”数据的位置是固定的，和测试实际灯具的长、宽相矛盾，所以必须注意，不要填写错误。(IESNA LM-63与GB/T 22907-2008的对比可参照图5)
灯具的出光面的尺寸，在照度计算时虽然不参与计算，但设置了不正确的长、宽尺寸方向，可能造成视图上灯具和光斑不对应，且会造成实际安装的灯具照明效果与模拟结果不同。对于眩光值计算，灯具的出光面的尺寸对其有较大影响。虽然在DIALux中导入IES文件时，也可以设置灯具和出光面尺寸，但如果事先在IES中设置正确的出光面尺寸，则会减少很多不必要的麻烦。

镇流器系数描述了灯具的应用特性。该系数用于将灯具光通数据从实验室测试条件调整到现场安装条件。如果不知道镇流器系数，默认值为1。
文件生成类型描述了IESLM-63文件的生成方式，用于判判读该文件测试数据的准确性与可靠性。默认值为1.00000，即：在一个没有经过测试方法认证的实验室进行的绝对测试。对于其他的类型，你可以参考图7进行更近一步的学习。当然如果你有兴趣的话。
输入功率，这个我觉得不需要解释了，我相信你是明白的。

5. 测试角度划分标准部分
测试角度划分标准部分包含了垂直角度数列与水平角度数列，其具体的填写顺序如下：

第一行：<垂直角度数列>
第二行：<水平角度数列>

🚗 注：

垂直角度数列中的数据应按升序排列（ γ ）。
对于Type C-γ光度测量方法，第一个值应是0°或90°，最后一个角度值应是90° 或180°；对于Type A-α或Type B-β光度测量方法，第一个垂直角度应是-90°或0°，最后一个角度值应是90°。
水平角度数列中的数据应按升序排列（ C）。
对于Type C-γ光度测量方法，第一个值应始终是0°，最后一个值应是90°（灯具在每个象限都是对称的）或180°（灯具在0°-180°的平面上是对称的）或360°（灯具没有表现出横向对称性）。
对于Type A-α或Type B-β光度测量方法。灯具围绕一个垂直参考平面横向对称。在这种情况下，第一个水平角应是0°，最后一个水平角应是90°；灯具不是围绕垂直参考平面横向对称的。在这种情况下，第一个水平角应是-90°，最后一个水平角应是90°。

6. 光强数据部分
光强数据部分记录了依据测试角度划分标准部分的光强数据。其具体的填写顺序如下：

第一行：<所有第一行水平角度的光强值数列>
第二行：<所有第二行水平角度的光强值数列>
...
最后一行：<所有最后一行水平角度的光强值数列>

3. IES文件格式实例解析

IESNA:LM-63-1995 #测试标准
[TEST]  # 测试灯具型号
[DATE] 2010-08-23 # 测试日期
[MANUFAC] MEGAMAN # 灯具厂商
[LUMCAT] LED Reflector Series # 灯具说明
[LUMINAIRE] ER0510-50H24D-GU5.3-2800K # 光源参数
[LAMPCAT] ER0510-50H24D-GU5.3-2800K # 光源色温
[LAMP] MR16 # 光源型号
TILT=NONE # 光源倾斜产生的光输出变化部分，表示光输出是否随着灯具倾斜角度的变化而变化，不变填写 NONE，变化则填写  `TILT=INCLUDE  光源相对于灯具的位置（1，2，3） 划分倾斜角度的数量（整数） 角度数值  倾斜角度对应的光输出变化系数`
# 索引一区：[光源数量@1个 光源光通量@510.43lm 乘数：用于等比例扩展多灯具的IES数据 垂直角度数量@91 水平角度数量@5  测定法的形式@1(A型，B型，C型) 度量单位@2(英制、国标) 发光面尺寸@(长：-0.05 宽：-0.05 高：0) Units:m]
# 垂直/水平角度数量表示 光度计测量时，镜子绕着灯转了5圈，每圈测量91次，与实际数据对应，下面的数据区 5 排， 每排测量 91 次
1 510.43 1.0 91 5 1 2 -0.05 -0.05 0 # 索引一区
# 索引二区：[镇流器系数@1.0表示了测试时使用的镇流器，使用时电流不同这可以等比例修改 保留系数(Reserve) 输入功率@10]
1.0 1.0 10 # 索引二区
   0.0   1.0   2.0   3.0   4.0   5.0   6.0   7.0   8.0   9.0  10.0  11.0  12.0 # 光照数据极坐标角度索引区，这一行描述了灯具在某一个切面下 $0-12\deg$ 之间的极坐标角度变化， 整个极坐标区域只需要展示 0~90 区间即可，因为灯光不向后发光(特殊情况除外)
  13.0  14.0  15.0  16.0  17.0  18.0  19.0  20.0  21.0  22.0  23.0  24.0  25.0 # 光照数据极坐标角度索引区 $[13\deg, 25\deg]$
  26.0  27.0  28.0  29.0  30.0  31.0  32.0  33.0  34.0  35.0  36.0  37.0  38.0 # 光照数据极坐标角度索引区 $[26\deg, 38\deg]$
  39.0  40.0  41.0  42.0  43.0  44.0  45.0  46.0  47.0  48.0  49.0  50.0  51.0 # 光照数据极坐标角度索引区 $[39\deg, 51\deg]$
  52.0  53.0  54.0  55.0  56.0  57.0  58.0  59.0  60.0  61.0  62.0  63.0  64.0 # 光照数据极坐标角度索引区 $[52\deg, 64\deg]$
  65.0  66.0  67.0  68.0  69.0  70.0  71.0  72.0  73.0  74.0  75.0  76.0  77.0 # 光照数据极坐标角度索引区 $[65\deg, 77\deg]$
  78.0  79.0  80.0  81.0  82.0  83.0  84.0  85.0  86.0  87.0  88.0  89.0  90.0 # 光照数据极坐标角度索引区 $[78\deg, 90\deg]$
   0.0  90.0 180.0 270.0 360.0 # 光照数据光轴旋转中心切面选取角度 [0.0  90.0 180.0 270.0 360.0] , 表明该测试数据主要测试了3D光照度体的5个切面
    2763.6    2680.4    2606.0    2494.2    2352.0    2193.4    1977.6    1755.2 # 0.0° 切面对应的光照极坐标数据，数据个数与极坐标角度索引区个数相同为 90 个
    1501.6    1262.6    1065.0     876.6     738.1     610.8     509.6     432.9
     364.4     293.8     264.4     226.1     187.7     153.3     126.6     100.9
      79.4      63.5      49.4      39.4      30.4      23.8      19.0      15.2
      12.7      10.6       9.1       8.1       7.3       6.9       6.4       6.0
       5.8       5.5       5.2       4.9       4.7       4.5       4.4       4.3
       4.1       4.0       3.9       3.8       3.6       3.5       3.4       3.3
       3.1       2.8       2.6       2.5       2.3       2.2       2.1       2.0
       1.9       1.8       1.8       1.7       1.7       1.7       1.7       1.7
       1.6       1.6       1.6       1.6       1.6       1.6       1.6       1.6
       1.6       1.6       1.6       1.6       1.6       1.6       1.6       1.6
       1.6       1.6       1.6
    2763.6    2795.9    2776.4    2737.3    2667.4    2573.2    2421.4    2259.8 # 90.0° 切面对应的光照极坐标数据
    2033.2    1783.4    1567.3    1320.9    1127.5     926.1     760.9     637.8
     515.5     426.0     337.4     267.5     220.3     178.2     153.7     133.7
     119.1     107.5      95.7      86.3      79.5      76.4      74.5      73.6
      73.5      72.6      72.0      71.6      71.7      72.1      72.8      74.1
      75.1      76.2      77.2      78.5      79.6      80.7      82.0      83.1
      84.5      85.7      87.1      88.3      89.2      87.2      81.7      75.6
      68.0      59.9      52.6      44.2      36.8      28.4      20.6      14.3
       8.9       6.0       4.6       3.5       3.1       2.7       2.5       2.4
       2.3       2.1       1.8       1.8       1.8       1.8       1.8       1.8
       1.8       1.7       1.7       1.7       1.7       1.6       1.6       1.6
       1.4       1.4       1.4
    2763.6    2760.0    2758.2    2727.8    2674.8    2585.1    2457.6    2314.9 # 180.0° 切面对应的光照极坐标数据
    2127.4    1927.2    1679.1    1417.5    1195.3     970.9     796.0     635.7
     512.1     424.0     343.7     287.2     235.0     191.2     157.3     124.4
      99.9      77.7      61.9      47.8      38.0      31.2      25.6      21.3
      18.3      15.5      13.5      11.8      10.2       9.3       8.5       7.8
       7.2       6.9       6.6       6.2       6.0       5.4       5.1       4.9
       4.7       4.6       4.5       4.4       4.4       4.4       4.2       4.2
       4.1       4.0       3.7       3.4       3.2       2.9       2.6       2.4
       2.2       2.1       2.0       1.9       1.8       1.8       1.8       1.8
       1.7       1.7       1.7       1.7       1.7       1.7       1.6       1.6
       1.6       1.6       1.6       1.6       1.6       1.6       1.6       1.6
       1.6       1.6       1.6
    2763.6    2800.0    2778.6    2723.1    2640.8    2506.5    2352.6    2148.7 # 270.0° 切面对应的光照极坐标数据
    1924.2    1696.9    1435.3    1223.9    1000.8     813.1     676.5     545.5
     447.3     347.8     267.1     213.3     166.7     134.0     113.8      97.6
      86.9      77.0      71.3      68.4      67.8      68.4      69.8      70.0
      68.4      69.0      69.3      69.7      70.7      72.0      73.2      74.4
      75.8      76.2      77.0      78.3      79.5      80.8      82.2      83.6
      85.4      87.2      89.2      90.8      88.9      83.3      77.1      69.4
      61.5      54.3      45.9      38.2      29.6      21.1      14.2       8.2
       5.1       4.0       3.4       3.1       2.9       2.8       2.7       2.7
       2.5       2.1       2.1       2.2       2.2       2.2       2.2       2.2
       2.2       2.2       2.1       2.0       2.0       2.0       1.9       1.5
       1.4       1.4       1.4
    2763.6    2680.4    2606.0    2494.2    2352.0    2193.4    1977.6    1755.2 # 360.0° 切面对应的光照极坐标数据
    1501.6    1262.6    1065.0     876.6     738.1     610.8     509.6     432.9
     364.4     293.8     264.4     226.1     187.7     153.3     126.6     100.9
      79.4      63.5      49.4      39.4      30.4      23.8      19.0      15.2
      12.7      10.6       9.1       8.1       7.3       6.9       6.4       6.0
       5.8       5.5       5.2       4.9       4.7       4.5       4.4       4.3
       4.1       4.0       3.9       3.8       3.6       3.5       3.4       3.3
       3.1       2.8       2.6       2.5       2.3       2.2       2.1       2.0
       1.9       1.8       1.8       1.7       1.7       1.7       1.7       1.7
       1.6       1.6       1.6       1.6       1.6       1.6       1.6       1.6
       1.6       1.6       1.6       1.6       1.6       1.6       1.6       1.6
       1.6       1.6       1.6

可以看出上述光度数据的各个切面的数据接近相同，因此此光源相对呈现为轴对称的形态。

IES Software GUI:

四、IES光源数据展示 @ MATLAB：

1. 测试光源数据如下

其中 $[C_0, C_{15}, C_{30}, C_{45}, C_{60}, C_{75}, C_{90}]$ 表示了光度数据中，不同角度下切面的数据，而每一行代表了极坐标条件下的光强分布数据，总共采集了 $180 \deg$ ，间隔 $5\deg$ 共计37个数据。

I. 二维数据展示：

% IES_2DDataShow.m
ldc = [426.0060  426.0060  426.0060  426.0060  426.0060  426.0060  426.0060
  424.7540  425.0980  425.5810  425.9940  425.6490  425.1670  424.7540
  421.8600  422.2040  422.7550  423.1690  422.6860  422.2040  421.8600
  415.5200  416.0020  416.1400  416.8980  416.6910  416.2780  415.7960
  408.6290  406.9060  407.0440  408.0090  409.0420  407.3890  406.5620
  394.1580  394.2960  394.5030  395.1920  395.0540  394.5720  394.5720
  374.5880  375.8290  376.9310  376.6550  374.6570  376.3800  377.4820
  349.7810  351.3660  352.8130  351.9170  350.7460  352.1930  353.9150
  317.8070  316.2910  318.2210  316.2910  316.8420  317.1870  319.8750
  267.2280  269.4330  264.4720  267.9170  267.9170  269.6400  266.1260
  200.4280  162.1010  174.1260  163.2380  199.5320  163.8650  174.8770
  111.4940  118.7160  150.0280  118.3780  112.6450  116.1870  151.6540
   73.5810   78.4390   99.5180   80.3960   75.7450   78.4250  100.4280
   49.7660   69.2120   54.2240   71.2930   52.1980   71.8860   56.8360
   35.5290   49.5180   46.4930   48.3810   35.8390   47.2780   48.2220
   34.3720   37.9410   35.3290   38.5750   33.9930   39.9950   35.4050
   24.1730   24.9380   28.9690   25.8750   24.7800   24.6350   28.5140
   14.3050   15.9870   19.6670   16.4830   15.1460   15.9450   19.7770
    6.0920    6.5390    7.0420    7.2350    6.9940    6.8220    6.6840
    4.7550    4.9550    5.2780    5.2160    5.2090    5.4780    5.6640
    3.8590    3.8520    3.8930    3.9000    3.8870    4.3210    4.4380
    3.1150    3.1420    2.9350    2.8530    3.0870    3.4660    3.5970
    2.8670    2.6670    2.4740    2.3500    2.5700    2.9290    3.1700
    2.4120    2.4050    2.3360    2.0330    2.3500    2.6050    2.7840
    1.6540    1.6670    1.9090    1.8880    1.7300    1.5920    1.6810
    1.1300    1.1990    1.2680    1.4880    1.2270    1.1580    1.1300
    1.0470    1.0400    1.0400    1.1440    1.0750    1.0540    1.0470
    1.1300    1.1640    1.2060    1.1850    1.2130    1.1850    1.1710
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0];

color = 'r';
line = '-';

theta = linspace(0,180,37);

% plotting only the first and the last C-planes, i.e. 0 and 90 degrees respectively
for i = 1:6:size(ldc,2)
    polarplot(deg2rad(theta),ldc(:,i), 'Color', color, 'LineStyle', line, 'LineWidth', 1.5)
    hold on
    polarplot(-deg2rad(theta),ldc(:,i), 'Color' ,color, 'LineStyle', line, 'LineWidth', 1.5)
    line = ':';
end

ax = gca;
ax.ThetaZeroLocation = 'bottom';
ax.RAxisLocation = 0;
ax.ThetaTickLabel = {'0'; '30'; '60'; '90'; '120'; '150'; '180'; '150'; '120'; '90'; '60'; '30';};

🚗 结果展示：

I. 三维数据展示：

% IES_3DDataShow.m
ldc = [426.0060  426.0060  426.0060  426.0060  426.0060  426.0060  426.0060
  424.7540  425.0980  425.5810  425.9940  425.6490  425.1670  424.7540
  421.8600  422.2040  422.7550  423.1690  422.6860  422.2040  421.8600
  415.5200  416.0020  416.1400  416.8980  416.6910  416.2780  415.7960
  408.6290  406.9060  407.0440  408.0090  409.0420  407.3890  406.5620
  394.1580  394.2960  394.5030  395.1920  395.0540  394.5720  394.5720
  374.5880  375.8290  376.9310  376.6550  374.6570  376.3800  377.4820
  349.7810  351.3660  352.8130  351.9170  350.7460  352.1930  353.9150
  317.8070  316.2910  318.2210  316.2910  316.8420  317.1870  319.8750
  267.2280  269.4330  264.4720  267.9170  267.9170  269.6400  266.1260
  200.4280  162.1010  174.1260  163.2380  199.5320  163.8650  174.8770
  111.4940  118.7160  150.0280  118.3780  112.6450  116.1870  151.6540
   73.5810   78.4390   99.5180   80.3960   75.7450   78.4250  100.4280
   49.7660   69.2120   54.2240   71.2930   52.1980   71.8860   56.8360
   35.5290   49.5180   46.4930   48.3810   35.8390   47.2780   48.2220
   34.3720   37.9410   35.3290   38.5750   33.9930   39.9950   35.4050
   24.1730   24.9380   28.9690   25.8750   24.7800   24.6350   28.5140
   14.3050   15.9870   19.6670   16.4830   15.1460   15.9450   19.7770
    6.0920    6.5390    7.0420    7.2350    6.9940    6.8220    6.6840
    4.7550    4.9550    5.2780    5.2160    5.2090    5.4780    5.6640
    3.8590    3.8520    3.8930    3.9000    3.8870    4.3210    4.4380
    3.1150    3.1420    2.9350    2.8530    3.0870    3.4660    3.5970
    2.8670    2.6670    2.4740    2.3500    2.5700    2.9290    3.1700
    2.4120    2.4050    2.3360    2.0330    2.3500    2.6050    2.7840
    1.6540    1.6670    1.9090    1.8880    1.7300    1.5920    1.6810
    1.1300    1.1990    1.2680    1.4880    1.2270    1.1580    1.1300
    1.0470    1.0400    1.0400    1.1440    1.0750    1.0540    1.0470
    1.1300    1.1640    1.2060    1.1850    1.2130    1.1850    1.1710
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0
         0         0         0         0         0         0         0];

% angles around x-axis, need to turn by 90 degree right pol2cart output
anglesX = (0:5:360)/180*pi+pi/2;

% angles around z-axis
anglesZ = 0:15:90;

% loop over columns
for i = 1:size(ldc,2)

    % you need to create a closed contour for fill3
    ldcJoined = [ldc(:,i);ldc((end-1):-1:1,i)];

    % plot for positive and negative angle around z, i as color-index
    plotPlane(anglesX, ldcJoined, anglesZ(i), i)
    hold on
    plotPlane(anglesX, ldcJoined, -anglesZ(i), i)
end

xlabel('x')
ylabel('y')
zlabel('z')

function [] = plotPlane(anglesX, r, angleZ, c)

    % convert to cartesian coordinates
    [p1, p2] = pol2cart(anglesX, r');

    % plot on x-axis (x=0)
    X = zeros(size(p1));
    Y = p1;
    Z = p2;
    C = ones(size(Z)) .* c; % color input needed, you could e.g. C=sin(angles);
    h = fill3(X,Y,Z,C);
    rotate(h, [0,0,1], angleZ)

end

🚗 结果展示：

2. 940nm VCSEL激光光源测试

🚗 a. 激光器数据准备：

点击查看代码

PosX	0
Degree	0
DivergenceAngle	22.25197972
DivergenceAngleFWHM	17.8478615
DIP	54.59287419
0degree_X	0degree_Y
-55.05670308	0.000500987
-55.0336553	0.000500987
-55.01060268	0.000471517
-54.98754524	0.000442048
-54.96448297	0.000412578
-54.94141587	0.000383108
-54.91834394	0.000442048
-54.89526718	0.000530457
-54.87218559	0.000442048
-54.84909917	0.000383108
-54.82600792	0.000353638
-54.80291185	0.000265229
-54.77981095	0.000265229
-54.75670522	0.000235759
-54.73359467	0.000353638
-54.71047929	0.000471517
-54.68735908	0.000559927
-54.66423405	0.000559927
-54.6411042	0.000677806
-54.61796952	0.000707276
-54.59483001	0.000589397
-54.57168569	0.000677806
-54.54853653	0.000677806
-54.52538256	0.000677806
-54.50222376	0.000677806
-54.47906014	0.000795686
-54.4558917	0.000825155
-54.43271844	0.000677806
-54.40954035	0.000618867
-54.38635745	0.000618867
-54.36316972	0.000707276
-54.33997717	0.000677806
-54.31677981	0.000589397
-54.29357763	0.000589397
-54.27037062	0.000500987
-54.2471588	0.000559927
-54.22394216	0.000589397
-54.2007207	0.000648336
-54.17749443	0.000559927
-54.15426334	0.000530457
-54.13102743	0.000589397
-54.10778671	0.000530457
-54.08454117	0.000559927
-54.06129082	0.000559927
-54.03803565	0.000471517
-54.01477566	0.000442048
-53.99151087	0.000500987
-53.96824126	0.000589397
-53.94496683	0.000559927
-53.9216876	0.000648336
-53.89840355	0.000618867
-53.87511469	0.000707276
-53.85182102	0.000707276
-53.82852254	0.000648336
-53.80521925	0.000648336
-53.78191115	0.000530457
-53.75859824	0.000530457
-53.73528052	0.000559927
-53.71195799	0.000559927
-53.68863065	0.000618867
-53.6652985	0.000648336
-53.64196155	0.000707276
-53.61861979	0.000648336
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53.05697673	0.000206289
53.08043372	0.000206289
53.1038859	0.000206289
53.1273333	0.000235759
53.15077589	0.000265229
53.17421369	0.000235759
53.19764669	0.000294698
53.22107489	0.000235759
53.2444983	0.000265229
53.2679169	0.000265229
53.29133071	0.000206289
53.31473971	0.000235759
53.33814392	0.000294698
53.36154333	0.000324168
53.38493793	0.000324168
53.40832773	0.000383108
53.43171273	0.000383108
53.45509293	0.000353638
53.47846832	0.000353638
53.50183891	0.000294698
53.5252047	0.000294698
53.54856568	0.000265229
53.57192186	0.000206289
53.59527323	0.000206289
53.61861979	0.000176819
53.64196155	0.000117879
53.6652985	0.000117879
53.68863065	0.000147349
53.71195799	0.000147349
53.73528052	0.000176819
53.75859824	0.000176819
53.78191115	0.000176819
53.80521925	0.000206289
53.82852254	0.000235759
53.85182102	0.000235759
53.87511469	0.000294698
53.89840355	0.000294698
53.9216876	0.000294698
53.94496683	0.000353638
53.96824126	0.000324168
53.99151087	0.000294698
54.01477566	0.000235759
54.03803565	0.000176819
54.06129082	0.000235759
54.08454117	0.000235759
54.10778671	0.000206289
54.13102743	0.000206289
54.15426334	0.000206289
54.17749443	0.000294698
54.2007207	0.000294698
54.22394216	0.000294698
54.2471588	0.000235759
54.27037062	0.000294698
54.29357763	0.000294698
54.31677981	0.000294698
54.33997717	0.000353638
54.36316972	0.000294698
54.38635745	0.000324168
54.40954035	0.000324168
54.43271844	0.000294698
54.4558917	0.000294698
54.47906014	0.000147349
54.50222376	0.000206289
54.52538256	0.000206289
54.54853653	0.000206289
54.57168569	0.000176819
54.59483001	0.000176819
54.61796952	0.000265229
54.6411042	0.000294698
54.66423405	0.000294698
54.68735908	0.000265229
54.71047929	0.000265229
54.73359467	0.000294698
54.75670522	0.000294698
54.77981095	0.000294698
54.80291185	0.000235759
54.82600792	0.000235759
54.84909917	0.000294698
54.87218559	0.000294698
54.89526718	0.000412578
54.91834394	0.000324168
54.94141587	0.000235759
54.96448297	0.000235759
54.98754524	0.000235759
55.01060268	0.000294698
55.0336553	0.000265229
55.05670308	0.000265229
55.07974603	0.000265229
55.10278415	0.000265229
55.12581743	0.000265229
55.14884589	0.000235759
55.17186951	0.000206289
55.1948883	0.000147349
55.21790226	0.000206289
55.24091138	0.000265229
55.26391567	0.000265229
55.28691512	0.000265229
55.30990974	0.000235759
55.33289953	0.000324168
55.35588448	0.000353638
55.3788646	0.000383108
55.40183988	0.000412578
55.42481032	0.000442048
55.44777593	0.000442048
55.4707367	0.000471517
55.49369263	0.000442048

🚌 b. MATLAB代码修改：

theta = linspace(-55,55,4096); % 这里需要修改，确保theta的起止范围区间为 -55 ~ 55 之间

% plotting only the first and the last C-planes, i.e. 0 and 90 degrees respectively
for i = 1:6:size(ldc,2)
    polarplot(deg2rad(theta),ldc(:,i), 'Color', color, 'LineStyle', line, 'LineWidth', 1.5)
    % hold on % 这里需求修改不显示负半轴
    % polarplot(-deg2rad(theta),ldc(:,i), 'Color' ,color, 'LineStyle', line, 'LineWidth', 1.5) % 这里需要修改不显示负半轴，因为数据中已经包含
    line = ':';
end

🚀 c. 结果展示：

3. 将上述一般测试数据转化为IES/LDT文件

% DATA2IES_Trans.m LightIESData.txt
close all 
clc

Data = dlmread("LightIESData.txt"); % ArWeldingDataForMATLAB.txt  ArCO2WeldingDataForMATLAB

figure,
plot(Data(:,1),Data(:,2))
title("IES直角坐标系展示")

AngStep = (max(Data(:,1)) - min(Data(:,1))) / numel(Data(:,1));

polarAngle = Data(:,1);
polarValue = Data(:,2);

color = 'r';
figure,
polarplot(deg2rad(Data(:,1)),Data(:,2), 'Color', color, 'LineStyle', '-', 'LineWidth', 1.5)
% polarplot(Data(:,1),Data(:,2), 'Color', color, 'LineStyle', '-', 'LineWidth', 1.5)
title("IES极坐标系展示")

IES_Standard_Key = "IESNA:"; % IES国际标准
IES_LightType_Key = "[TEST] "; % 测试灯具型号
IES_TestDate_Key = "[DATE] "; % 当前IES文件测试的日期
IES_Company_Key = "[MANUFAC] "; % 灯具厂商
IES_LightInfo_Key = "[LUMCAT] "; % 灯具信息说明
IES_LightParam_Key = "[LUMINAIRE] "; % 光源参数
IES_LightColorTempratue_Key = "[LAMPCAT] "; % 光源色温
IES_LightShape_Key = "[LAMP] "; % 光源型号
IES_FileTitle_Key = "TILT=";

IES_Standard_Content = "LM-63-1995";
IES_LightType_Content = "";
IES_TestDate_Content = "2023-08-23";
IES_Company_Content = "DoGain";
IES_LightInfo_Content = "LED Reflector Series"; % 反射系列光源
IES_LightParam_Content = "ER0510-50H24D-GU5.3-2800K";
IES_LightColorTempratue_Content = "ER0510-50H24D-GU5.3-2800K";
IES_LightShape_Content = "VCSEL";
IES_FileTitle_Content = "NONE";

IES_IndexPart1 = "1 496.0899 1 1024 5 1 2 0.000838 0.000906 0.1";
IES_IndexPart2 = "1.0 1.0 10";

IES_File = fopen("MATLAB_IES_FILE6.ies", 'w+');

% Header Write
fwrite(IES_File, IES_Standard_Key);
fwrite(IES_File, IES_Standard_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_LightType_Key);
fwrite(IES_File, IES_LightType_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_TestDate_Key);
fwrite(IES_File, IES_TestDate_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_Company_Key);
fwrite(IES_File, IES_Company_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_LightInfo_Key);
fwrite(IES_File, IES_LightInfo_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_LightParam_Key);
fwrite(IES_File, IES_LightParam_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_LightColorTempratue_Key);
fwrite(IES_File, IES_LightColorTempratue_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_LightShape_Key);
fwrite(IES_File, IES_LightShape_Content); fprintf(IES_File,"\r\n");
fwrite(IES_File, IES_FileTitle_Key);
fwrite(IES_File, IES_FileTitle_Content); fprintf(IES_File,"\r\n");

% Index 1 Header Write
fwrite(IES_File, IES_IndexPart1); fprintf(IES_File,"\r\n");
% Index 2 Header Write
fwrite(IES_File, IES_IndexPart2); fprintf(IES_File,"\r\n");

Step = 4;
Count = 0;
for ang_index = 1:Step:numel(polarAngle)
    fwrite(IES_File, num2str(polarAngle(ang_index))); fprintf(IES_File," ");
    Count = Count + 1;
    if Count == 20
        Count = 0;
        fprintf(IES_File,"\r\n");
    end
end
fprintf(IES_File,"\r\n");

ScanpolarAngle = linspace(0, 360, 5);
for pA = ScanpolarAngle
    fwrite(IES_File, num2str(pA)); fprintf(IES_File," ");
end
fprintf(IES_File,"\r\n");

for row = 1:numel(ScanpolarAngle)
    Count = 0;
    for val_index = 1:Step:numel(polarValue)
        fwrite(IES_File, num2str(polarValue(val_index))); fprintf(IES_File," ");
        Count = Count + 1;
        if Count == 20
            Count = 0;
            fprintf(IES_File,"\r\n");
        end
    end
    fprintf(IES_File,"\r\n");
end

fclose(IES_File);

🌻测试结果如下：

五、其他方向

关于光源的仿真可以采用 TracePro 软件来进行设计研发，具体参考光学成像系统 Part II - 光源模型分析 (二)

Reference

Illuminating Engineering Society 照明工程协会软件 IES Viewer
光源模型-知乎
光源类型-博客园
learnopengl

posted on 2023-06-14 19:06 小淼博客阅读(103) 评论(0) 编辑收藏举报

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小淼博客

公告

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随笔分类

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推荐排行榜

最新评论

一、光源模型概述

二、光源基础模型

1. 定向光（Directional Light)

2. 点光源(Punctual Light)

3. 聚光灯(Spotlight)

三、光源模型软件使用@IES Viewer

1. 配光曲线最常见的两种表达方式

2. IES文件介绍

I. 灯具标准文件有什么作用？

II. 灯具的标准文件有哪些？

III. IES灯具的标准文件的发展

IV. 我们如何获取IES文件？

V. 通过IES文件可以得到哪些数据？

VI. IES灯具标准文件格式是怎样的？ 🚀

3. IES文件格式实例解析

四、IES光源数据展示 @ MATLAB：

1. 测试光源数据如下

I. 二维数据展示：

I. 三维数据展示：

2. 940nm VCSEL激光光源测试

3. 将上述一般测试数据转化为IES/LDT文件

五、其他方向

Reference

小淼博客

公告

搜索

常用链接

合集

随笔分类

随笔档案

阅读排行榜

评论排行榜

推荐排行榜

最新评论

一、光源模型概述

二、光源基础模型

1. 定向光（Directional Light)

2. 点光源(Punctual Light)

3. 聚光灯(Spotlight)

三、光源模型软件使用@IES Viewer

1. 配光曲线最常见的两种表达方式

2. IES文件介绍

I. 灯具标准文件有什么作用？

II. 灯具的标准文件有哪些？

III. IES灯具的标准文件的发展

IV. 我们如何获取IES文件？

V. 通过IES文件可以得到哪些数据？

VI. IES灯具标准文件格式是怎样的？ 🚀

3. IES文件格式实例解析

四、IES光源数据展示 @ MATLAB：

1. 测试光源数据如下

I. 二维数据展示：

I. 三维数据展示：

2. 940nm VCSEL激光光源测试

3. 将上述一般测试数据转化为IES/LDT文件

五、 其他方向

Reference

五、其他方向