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    [分享]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: 2020-12-09
    简介 Elq8WtS  
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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。 0Yjy  
    PYf`a`dH  
    模型 d#tUG~jc  
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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。 FT enXJ/c  
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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. T:&+#0<  
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    光源 a wK'XFk  
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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。 R`&ioRWj  
    T7Ac4LA  
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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。 w8i!Qi#y5D  
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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。 Z9D4;1  
    .-AB o]hf  
    图2. 字母F光源的设定方法光 $S}x'F!4_  
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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 | <*(`\ 'w  
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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。 w3Ohm7N[  
    "p{ '984r<  
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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。 $(R) =4  
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    图5. 视网膜重点采样规格设定
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    脚本 ^!qmlx*  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: NLl~/smMS  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 1znV>PO!  
    余下的脚本计算与屈光度有关的所有参数。 ,9qB}HG  
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    分析 @RIEO%S  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 NR&9:?  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 ELF`u WG E  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. k#JG  
    N{t :%[  
    Dim entity As T_ENTITY @t8kN6.  
    Dim op As T_OPERATION ] <3?=$  
    Dim mat As T_MODELMATERIAL q'U5QyuC  
    Dim A As Double b H_pNx81  
    Dim pupilDiam As Double 8M9\<k6  
    Dim eID As Long I JY5wP1"  
    Dim parID As Long U]0)$OH5e  
    Dim count As Integer ~x"79=!W  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~vV )|  
    Dim tlens As Double, nlens As Double .p(l+  
    Dim curv As Double, conic As Double o}+Uy  
    Dim ok As Long vfUfrk@D~  
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    Sub Main V55J[s*6!  
    /^ 3oq]  
        '用户输入对话框 9[{>JRm.  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 o`mIi  
            TextBox 220,21,40,21,.TextBox1 'default: 0  'Q>z**  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ?_>^<1I1  
            OKButton 40,91,90,21 <>i+R#u{  
            CancelButton 190,91,90,21 4F,Ql"ae(  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (TNY2Ke2 8  
            TextBox 220,49,40,21,.TextBox2 'default: 4 S<!_ uq  
        End Dialog !5%5]9'n@*  
        Dim dlg As UserDialog qf`xH"$  
    |;9 A{#zM  
        ok = Dialog (dlg) hdtnC29$  
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        If ok=0 Then    'cancel button was pressed 2{B(j&{  
            Print "Execution cancelled." C%_  
            End C<t'f(4s`u  
        End If 8J3@VD.  
    +1Rr kok  
        'Assign accommodation and pupil diameter & use defaults if field left empty ^I<T+X+<  
        If dlg.TextBox1 = "" Then j8Q5d`  
            A = 0           'Default accommodation Lp`<L-s  
        Else Cz@FZb8  
            A = CDbl(dlg.TextBox1) /;NE]{K  
        End If M2E87w  
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        If dlg.TextBox2 = "" Then CQjZAv  
            pupilDiam = 4   'Default pupil diameter 4^[}]'w  
        Else afF+*\xXN  
            pupilDiam = CDbl(dlg.TextBox2) PIEW\i  
        End If (#B^Hyz!  
    9;]wF8h  
        Print " " . z$Sm  
        Print "Accommodation = " & A & " Diopters" P"9@8aLB  
        Print "Pupil Diameter = " & pupilDiam & " mm" { w8 !K  
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        ' Calculate new parameters with accommodation KT];SF ^Y  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Ue3B+k9w  
    Vv]$\`d#  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens WiNr866nB  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 2rO)qjiH  
    J7ktfyQ0W  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens BLwfm+ m"  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ;Lsjh#  
    $35,\ZO>  
        tlens = 3.767 + 0.04*A                  'Lens thickness q)?p$\  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction VPM|Rj:d  
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        'Adjust parameters to account for accommodation ByhOK}u;P4  
    ]D{c4)\7C|  
        '************************************************************************* 4\1wyN /}M  
        'Aqueous thickness (Position of Lens) WbQhl sc:  
        '************************************************************************* 8K.s@<  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) P(pd0,%i;a  
        GetCustomElement eID, entity NqT1buU#  
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        parID = FindFullName( "Geometry.Arizona Eye" ) VR4E 2^  
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        ' Delete any shift(s) in z "u<jbD  
        count = 0 <Spr6U9p7  
        While GetOperationCount(eID)>count E 4='m  
            GetOperation eID, count, op H}h~~7E  
            If op.Type="ShiftZ" Then '!wPnYT@D  
                DeleteOperation eID,count %Lp2jyv.  
                count=count-1 DYo<5^0  
            End If (B>)2:T1  
            count=count+1 (|g").L  
        Wend C~ZE95g  
    VLh%XoQx[  
        'Set new shift in t7|MkX1  
        op.Type = "ShiftZ" 9m\)\/V  
        op.val1 = taq 7szls71/=  
        op.parent = parID >oft :7p  
        AddOperation eID, op [as-3&5S  
        Print "Set aqueous humor thickness = " & taq-0.55 d[Rb:Y w  
    c8#T:HM|`  
        '************************************************************************* Zk]k1]u*5  
        'Radius and conic constant of anterior lens +"YTCzv;t  
        '************************************************************************* 3D 9N: c  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ljup#:n  
        GetConic eID, entity, curv, conic =cdh'"XN  
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        SetConic eID, entity, 1/Rant, CCant DH\wDQ  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W *YW6  
    ,'FD}yw4v  
        '************************************************************************* 5U0ytDZ2/(  
        'Radius and conic constant of posterior lens E x_L!9>!  
        '************************************************************************* C!!mOAhJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) D3%l4.h  
        GetConic eID, entity, curv, conic WYSck&9  
    J#6LSD@ (O  
        SetConic eID, entity, 1/Rpost, CCpost 0fnZR$PB  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost t-!Rgg$9  
    i[^k.W3gf  
        '************************************************************************* UskZ%J  
        'Lens thickness (Position of posterior lens surface) r~)VGdB+  
        '************************************************************************* .r~'(g{qt  
    &}zRH}s;  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) $!a?i@  
    'oC$6l'rQ  
        ' Delete any z-shift(s) HjV\lcK:v  
        count = 0 5\VxXiy 0  
        While GetOperationCount(eID)>count mYX56,b}5  
            GetOperation eID, count, op S&n[4*  
            If op.Type="ShiftZ" Then clHM8$  
                DeleteOperation eID,count mH'\:oN  
                count=count-1 NtHbwU,  
            End If xC)7eQn/R  
            count=count+1 (F_w>w.h  
        Wend rwoF}}  
    r k@UsHy  
        'Set new z-shift DWuRJ  
        op.Type = "ShiftZ" ]a)IMIh;  
        op.val1 = tlens F b1EMVu  
        op.parent = parID ,MRvuw0P  
        AddOperation eID, op @|^jq  
        Print "Set lens thickness = " & tlens ]yo_wGiwY  
    (%i!%{!]  
        '************************************************************************* {n\6BTs  
        'Lens index of refraction h:f;mn?x  
        '************************************************************************* !@( M_Z'  
        eID = FindMaterial( "Lens" ) /;DjJpwf0  
        GetModelMaterial eID, mat :#Ty^-"]1  
    "s% 686Vz  
        mat.Nd = nlens rWJ*e Y  
        SetModelMaterial eID, mat 5KK{%6#f\  
        Print "Set lens index of refraction = " & nlens XHy ?  
    Ga.0Io&}C  
        '************************************************************************* Cgo9rC~]  
        'Pupil diameter S:#e8H_7m]  
        '************************************************************************* N9pwWg&<+  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) fO #?k<p  
    `y'aH 'EEd  
        'Adjust pupil diameter (trimming volume inner hole) #7+]%;h  
    iNXFk4  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" )]wuF`  
    jSB'>m]  
        ' Adjust pupil location to just in front of the lens .`Sw,XL5  
        parID = FindFullName( "Geometry.Arizona Eye" ) V+46R ]  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) A9t8`|1"%H  
        count = 0 .W$ sxVXB  
        While GetOperationCount(eID)>count PzLJ/QER  
            GetOperation eID, count, op 4HW;  
            If op.Type="ShiftZ" Then qT$ )Rb&  
                DeleteOperation eID,count GJvp{U}y9I  
                count=count-1 r4EoJyt  
            End If V7BsEw  
            count=count+1 +ZX .1[O  
        Wend TQ?#PRB  
        op.Type = "ShiftZ" KYf;_C,$  
        op.val1 = taq-0.01 @O'I)(To  
        op.parent = parID 4Ppop  
        AddOperation eID, op 9Yn)t#G'`F  
    ac|/Y$\w  
        Print "Set pupil diameter = " & pupilDiam 4b=Gg  
    w [L&*  
        'Update AZ Eye subassembly Description %;tJQ%6-.S  
        eID = FindFullName( "Geometry.Arizona Eye" ) '^DUq?E4  
        GetEntity eID, entity * .o"ZVl  
        entity.Description = "Accommodation = " & A & "D" T ~h.=5  
        SetEntity eID, entity (V!0'9c  
    p=vV4C:  
        Update j-QGOuvW  
        Print "DONE!" [EER4@_  
         r,0@~;zA  
    End Sub cN5"i0xk  
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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: $C$ub&D ~"  
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    Accommodation = 4 Diopters ncj!KyU  
    Pupil Diameter = 4 mm AC'lS >7s  
    Set aqueous humor thickness = 2.81 n_}aZB3;U  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 !UVk9  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 1LX)4TCC  
    Set lens thickness = 3.927 WU7cF81$  
    Set lens index of refraction = 1.42672 Td&d,;  
    Set pupil diameter = 4 h"r!q[MN o  
    DONE! n>S2}y  
    /e(W8aszi  
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