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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2022-02-25
    简介 7=-Yxt  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 U1\7Hcs$  
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    模型 p2vN=[g9)  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 =p5DT  
    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. rA~f68h|  
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    光源 S<Dbv?  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 W[2]$TwT  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 IO)B3,g  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 3^8Cc(bk  
    图2. 字母F光源的设定方法光 )/RG-L  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 F0$w9p  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 B;k'J:-"  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 1 Pk+zBJ$  
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    图5. 视网膜重点采样规格设定
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    脚本 ~ZKJ:&f  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 1K Vit{  
    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 f,G*e367:  
    余下的脚本计算与屈光度有关的所有参数。 |]7c&`  
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    分析 'z|Da&d P  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 qo [[P)tq  
    图7. 字母F在视网膜上颜色分析
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    脚本代码 Q(& @ra!{  
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    1. Option Explicit     'Remove this to enable non-dimensioned variables to be used.
    2. Dim entity As T_ENTITY
    3. Dim op As T_OPERATION
    4. Dim mat As T_MODELMATERIAL
    5. Dim A As Double
    6. Dim pupilDiam As Double
    7. Dim eID As Long
    8. Dim parID As Long
    9. Dim count As Integer
    10. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
    11. Dim tlens As Double, nlens As Double
    12. Dim curv As Double, conic As Double
    13. Dim ok As Long
    14. Sub Main
    15.     '用户输入对话框
    16.     Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1
    17.         TextBox 220,21,40,21,.TextBox1 'default: 0
    18.         Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1
    19.         OKButton 40,91,90,21
    20.         CancelButton 190,91,90,21
    21.         Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1
    22.         TextBox 220,49,40,21,.TextBox2 'default: 4
    23.     End Dialog
    24.     Dim dlg As UserDialog
    25.     ok = Dialog (dlg)
    26.     If ok=0 Then    'cancel button was pressed
    27.         Print "Execution cancelled."
    28.         End
    29.     End If
    30.     'Assign accommodation and pupil diameter & use defaults if field left empty
    31.     If dlg.TextBox1 = "" Then
    32.         A = 0           'Default accommodation
    33.     Else
    34.         A = CDbl(dlg.TextBox1)
    35.     End If
    36.     If dlg.TextBox2 = "" Then
    37.         pupilDiam = 4   'Default pupil diameter
    38.     Else
    39.         pupilDiam = CDbl(dlg.TextBox2)
    40.     End If
    41.     Print " "
    42.     Print "Accommodation = " & A & " Diopters"
    43.     Print "Pupil Diameter = " & pupilDiam & " mm"
    44.     ' Calculate new parameters with accommodation
    45.     taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness
    46.     Rant = 12.0 - 0.4*A                     'Radius of anterior lens
    47.     CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens
    48.     Rpost = -5.224557 + 0.2*A               'Radius of posterior lens
    49.     CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens
    50.     tlens = 3.767 + 0.04*A                  'Lens thickness
    51.     nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction
    52.     'Adjust parameters to account for accommodation
    53.     '*************************************************************************
    54.     'Aqueous thickness (Position of Lens)
    55.     '*************************************************************************
    56.     eID = FindFullName( "Geometry.Arizona Eye.Lens" )
    57.     GetCustomElement eID, entity
    58.     parID = FindFullName( "Geometry.Arizona Eye" )
    59.     ' Delete any shift(s) in z
    60.     count = 0
    61.     While GetOperationCount(eID)>count
    62.         GetOperation eID, count, op
    63.         If op.Type="ShiftZ" Then
    64.             DeleteOperation eID,count
    65.             count=count-1
    66.         End If
    67.         count=count+1
    68.     Wend
    69.     'Set new shift in
    70.     op.Type = "ShiftZ"
    71.     op.val1 = taq
    72.     op.parent = parID
    73.     AddOperation eID, op
    74.     Print "Set aqueous humor thickness = " & taq-0.55
    75.     '*************************************************************************
    76.     'Radius and conic constant of anterior lens
    77.     '*************************************************************************
    78.     eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )
    79.     GetConic eID, entity, curv, conic
    80.     SetConic eID, entity, 1/Rant, CCant
    81.     Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant
    82.     '*************************************************************************
    83.     'Radius and conic constant of posterior lens
    84.     '*************************************************************************
    85.     eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" )
    86.     GetConic eID, entity, curv, conic
    87.     SetConic eID, entity, 1/Rpost, CCpost
    88.     Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost
    89.     '*************************************************************************
    90.     'Lens thickness (Position of posterior lens surface)
    91.     '*************************************************************************
    92.     parID = FindFullName( "Geometry.Arizona Eye.Lens" )
    93.     ' Delete any z-shift(s)
    94.     count = 0
    95.     While GetOperationCount(eID)>count
    96.         GetOperation eID, count, op
    97.         If op.Type="ShiftZ" Then
    98.             DeleteOperation eID,count
    99.             count=count-1
    100.         End If
    101.         count=count+1
    102.     Wend
    103.     'Set new z-shift
    104.     op.Type = "ShiftZ"
    105.     op.val1 = tlens
    106.     op.parent = parID
    107.     AddOperation eID, op
    108.     Print "Set lens thickness = " & tlens
    109.     '*************************************************************************
    110.     'Lens index of refraction
    111.     '*************************************************************************
    112.     eID = FindMaterial( "Lens" )
    113.     GetModelMaterial eID, mat
    114.     mat.Nd = nlens
    115.     SetModelMaterial eID, mat
    116.     Print "Set lens index of refraction = " & nlens
    117.     '*************************************************************************
    118.     'Pupil diameter
    119.     '*************************************************************************
    120.     eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )
    121.     'Adjust pupil diameter (trimming volume inner hole)
    122.     SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
    123.     ' Adjust pupil location to just in front of the lens
    124.     parID = FindFullName( "Geometry.Arizona Eye" )
    125.     eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
    126.     count = 0
    127.     While GetOperationCount(eID)>count
    128.         GetOperation eID, count, op
    129.         If op.Type="ShiftZ" Then
    130.             DeleteOperation eID,count
    131.             count=count-1
    132.         End If
    133.         count=count+1
    134.     Wend
    135.     op.Type = "ShiftZ"
    136.     op.val1 = taq-0.01
    137.     op.parent = parID
    138.     AddOperation eID, op
    139.     Print "Set pupil diameter = " & pupilDiam
    140.     'Update AZ Eye subassembly Description
    141.     eID = FindFullName( "Geometry.Arizona Eye" )
    142.     GetEntity eID, entity
    143.     entity.Description = "Accommodation = " & A & "D"
    144.     SetEntity eID, entity
    145.     Update
    146.     Print "DONE!"
    147. End Sub
    148. 如果屈光度是4,光瞳直径是4,则会输出如下数据:
    149. Accommodation = 4 Diopters
    150. Pupil Diameter = 4 mm
    151. Set aqueous humor thickness = 2.81
    152. Set anterior lens radius = 10.4 and conic constant = -2.375869
    153. Set posterior lens radius = -4.424557 and conic constant = -3.081019
    154. Set lens thickness = 3.927
    155. Set lens index of refraction = 1.42672
    156. Set pupil diameter = 4
    157. DONE!
     
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    只看该作者 1楼 发表于: 2022-02-25
    太赞了,终于看到完整的文档