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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: 2021-10-22
    简介 y*}AX%8`e~  
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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。 *4-r`k|@>/  
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    模型 4Y`! bT`  
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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。 +xn&K"]:3  
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    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. 3?.6K0L  
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    光源 =ZCH1J5"  
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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。 ?nB he lW^  
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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。 WA<H  
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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。 0\V\qAk  
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    图2. 字母F光源的设定方法光 }UyzM y,  
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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 4aj[5fhb-  
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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。 r$b:1C~  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 tfi2y]{A  
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    图5. 视网膜重点采样规格设定
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    脚本 V_NjkyI  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: h-z%C6  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 (1j(* ?2  
    余下的脚本计算与屈光度有关的所有参数。 ;s}-X_O<  
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    分析 pKO T  Qf  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 FiV^n6-F`  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 Ig40#pA  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. U p]VU9z  
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    Dim entity As T_ENTITY "uV0Oj9:  
    Dim op As T_OPERATION :vn0|7W4  
    Dim mat As T_MODELMATERIAL |YG)NO  
    Dim A As Double w3>Y7vxiz`  
    Dim pupilDiam As Double asm[-IB2u  
    Dim eID As Long UiGUaBmF*  
    Dim parID As Long htdn$kqG   
    Dim count As Integer -~rr<D\  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double sqq/b9 uL/  
    Dim tlens As Double, nlens As Double kMwIuy  
    Dim curv As Double, conic As Double :kf3_?9rc  
    Dim ok As Long &lXx0 "-$  
    =$:4v`W0(  
    Sub Main 4YU1Kr4  
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        '用户输入对话框 C%x(`S^/  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 dpc=yXg>"c  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ^>P@5gcoE(  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ByB0>G''.  
            OKButton 40,91,90,21 ;X9MA=b  
            CancelButton 190,91,90,21 oKMg7 3*  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 S`'uUvAA  
            TextBox 220,49,40,21,.TextBox2 'default: 4 % @^VrhS  
        End Dialog 6`$,-(J=  
        Dim dlg As UserDialog Z3u""oM/  
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        ok = Dialog (dlg) I'6 ed`|  
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        If ok=0 Then    'cancel button was pressed nvUkbmZG#  
            Print "Execution cancelled." 8WLh]MD`  
            End 34O+#0<y~  
        End If Qh1Kl_a?Lv  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 7W>}7  
        If dlg.TextBox1 = "" Then ' /@!"IXz  
            A = 0           'Default accommodation G`3vH,  
        Else =t>`< T|(  
            A = CDbl(dlg.TextBox1) )}zA,FOA*  
        End If $F /p8AraK  
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        If dlg.TextBox2 = "" Then ,XF6Xsg2  
            pupilDiam = 4   'Default pupil diameter :67d>wb  
        Else v#AO\zYKd  
            pupilDiam = CDbl(dlg.TextBox2) #L1yL<'  
        End If 5]2!B b6>  
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        Print " " !&`7  
        Print "Accommodation = " & A & " Diopters" ogh2kht  
        Print "Pupil Diameter = " & pupilDiam & " mm" \gPNHL*  
    { &JurZ  
        ' Calculate new parameters with accommodation ,y{fqa4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness @v:ILby4-  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens S)AE   
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens N?u2,h-  
    *b7 ^s,?  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens <?`e9o  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens S+\Mt+o  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ^!s}2GcS`  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction a1Y_0  
    \Jj'60L^  
        'Adjust parameters to account for accommodation U:\oGa84A  
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        '************************************************************************* I^C ]6D{  
        'Aqueous thickness (Position of Lens) \2VZkVO9  
        '************************************************************************* !nD[hI8P  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) t)kr/Z*p\  
        GetCustomElement eID, entity EPUJa~4  
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        parID = FindFullName( "Geometry.Arizona Eye" ) MrygEC 5  
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        ' Delete any shift(s) in z fqp7a1qQl  
        count = 0 vXWESy  
        While GetOperationCount(eID)>count U=*q;$L#  
            GetOperation eID, count, op (Gb{ckzs  
            If op.Type="ShiftZ" Then  ^O\1v  
                DeleteOperation eID,count l9Cy30O6  
                count=count-1 0i1?S6]d-  
            End If W SeRV?+T  
            count=count+1 b|pNc'u:Cn  
        Wend &cv /q$W4  
    =GS_ G;Dz  
        'Set new shift in 7}HA_@[  
        op.Type = "ShiftZ" @RG3*3(  
        op.val1 = taq jC }u>AB  
        op.parent = parID WlJRKM2  
        AddOperation eID, op %li{VDb  
        Print "Set aqueous humor thickness = " & taq-0.55 4xC6#:8  
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        '************************************************************************* (TK cSVR  
        'Radius and conic constant of anterior lens ^rZ+H@p:6  
        '************************************************************************* P_}_D{G  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \$++.%0  
        GetConic eID, entity, curv, conic \>CBam8d  
    *h8XbBZH  
        SetConic eID, entity, 1/Rant, CCant :zTj"P>"I  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,DsT:8  
    &b:Zln.j  
        '************************************************************************* m*WEge*$t  
        'Radius and conic constant of posterior lens <L[)P{jn?p  
        '************************************************************************* 2FtEt+A+'  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) { l~T~3/i  
        GetConic eID, entity, curv, conic '3 ,JL!  
    [+2^n7R  
        SetConic eID, entity, 1/Rpost, CCpost (>% Vj  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost p5 PON0dS  
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        '************************************************************************* uX!y,a/"  
        'Lens thickness (Position of posterior lens surface) I Q`aDo-V  
        '************************************************************************* aQ3vG08L>  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) W;*vcbP  
    1;sAt;/W8  
        ' Delete any z-shift(s) j7%%/%$o[  
        count = 0 IBHG1<3  
        While GetOperationCount(eID)>count tz> X'L  
            GetOperation eID, count, op 'Z%aBCM  
            If op.Type="ShiftZ" Then r/w@Dh]{_  
                DeleteOperation eID,count X%qR6mMfT7  
                count=count-1 %Y[/Ucdm  
            End If lY8Qy2k|  
            count=count+1 Hw3 ES  
        Wend jWjK-q@Y  
    ziip*<a !_  
        'Set new z-shift  o=5uM  
        op.Type = "ShiftZ" 2{qG  
        op.val1 = tlens ]nGA1S{  
        op.parent = parID Q^;\!$:M  
        AddOperation eID, op f\_Q+!^  
        Print "Set lens thickness = " & tlens U/l ra&P  
    u+I3VK_)  
        '************************************************************************* eJdQ7g[>  
        'Lens index of refraction ^OsUWhkV  
        '************************************************************************* l"g%vS,;`  
        eID = FindMaterial( "Lens" ) $G.|5sEk  
        GetModelMaterial eID, mat 9%veUvY  
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        mat.Nd = nlens yL,B\YCf8  
        SetModelMaterial eID, mat p 5w g+K  
        Print "Set lens index of refraction = " & nlens @Kb~!y@G  
    En%o7^W++  
        '************************************************************************* FX%E7H  
        'Pupil diameter 3 +9|7=d  
        '************************************************************************* a];i4lt(c  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *38\&"s4_  
    X~b+LG/  
        'Adjust pupil diameter (trimming volume inner hole) uU"s50m  
    7hE=+V8  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W u{nC  
    AE~}^(G`  
        ' Adjust pupil location to just in front of the lens ?Cl"jcQ*  
        parID = FindFullName( "Geometry.Arizona Eye" ) msJn;(Pn  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) BE;iC.rW  
        count = 0 w N.Jyb  
        While GetOperationCount(eID)>count SpQ6A]M gm  
            GetOperation eID, count, op J?DyTs3 Z  
            If op.Type="ShiftZ" Then )^3655mb  
                DeleteOperation eID,count W{2y*yqY  
                count=count-1 ZmF32 Ir  
            End If cE?J]5#^  
            count=count+1 Z 0^d o  
        Wend 3_:k12%p  
        op.Type = "ShiftZ" 81 C?U5  
        op.val1 = taq-0.01 +[qy HTcG  
        op.parent = parID QJ'C?hn  
        AddOperation eID, op Cl=ExpX/O  
    ;bmd<1  
        Print "Set pupil diameter = " & pupilDiam bBL"F!.  
    1Tkz!  
        'Update AZ Eye subassembly Description B 8,{jwB  
        eID = FindFullName( "Geometry.Arizona Eye" ) )Qp?LECrt  
        GetEntity eID, entity w=5qth7  
        entity.Description = "Accommodation = " & A & "D" wVX0!y6  
        SetEntity eID, entity h<q``hn>  
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        Update 1Zzw|@#>o  
        Print "DONE!" s6IuM )x  
         MR: {Ps&,  
    End Sub dDn:^)  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: sIe(;%[`  
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    Accommodation = 4 Diopters h[?28q$  
    Pupil Diameter = 4 mm XFYl[?`G  
    Set aqueous humor thickness = 2.81 $cedO']  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 S{06bLXU"  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 1:8: yFV  
    Set lens thickness = 3.927 HF:PF"|3  
    Set lens index of refraction = 1.42672 it@s(1EO#  
    Set pupil diameter = 4 FB`HwE<  
    DONE! f #14%?/  
     
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