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    [技术]Arizona眼睛模型 [复制链接]

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    离线infotek
     
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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 DVlJ*A  
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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。 DIaYo4  
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    模型 a^t?vv  
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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。 "0CjP+1k  
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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. hIYTe  
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    光源 t P"\J(x  
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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。 Wh( |+rJ?Z  
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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。 2-'Opu  
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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。 9zBMlc$X  
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    图2. 字母F光源的设定方法光 t *G/]  
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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 k |YWOy@D~  
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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。 V Z y4_v=  
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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。 EH*o"N`!r  
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    图5. 视网膜重点采样规格设定
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    脚本 Q`%R[#  
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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: IA&L]  
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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。 d[D&J  
    余下的脚本计算与屈光度有关的所有参数。 N8r*dadDd  
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    分析 SOZPZUUEJ  
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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。 S=`+Ryc  
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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 `d]IX^;  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. @f+8%I3D  
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    Dim entity As T_ENTITY wC_l@7 t  
    Dim op As T_OPERATION nl aM  
    Dim mat As T_MODELMATERIAL H9)m^ *  
    Dim A As Double M:KbD|  
    Dim pupilDiam As Double b2,mCfLsv  
    Dim eID As Long $2^`Uca  
    Dim parID As Long (>4aibA'P  
    Dim count As Integer 2& PPz}Sw  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 51C2u)HE  
    Dim tlens As Double, nlens As Double <h).fX  
    Dim curv As Double, conic As Double 3.d"rl  
    Dim ok As Long \c v?^AI  
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    Sub Main D4Al3fe  
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        '用户输入对话框 }v9\F-0>Q  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 w%AcG~`j!B  
            TextBox 220,21,40,21,.TextBox1 'default: 0 T<3BT  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 $ ,SF@BhO  
            OKButton 40,91,90,21 |Xi%   
            CancelButton 190,91,90,21 FWue;pw3  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %J:SO_6  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ,;?S\V  
        End Dialog Ji1Pz)fq  
        Dim dlg As UserDialog -oeL{9;  
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        ok = Dialog (dlg) T{qTj6I  
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        If ok=0 Then    'cancel button was pressed {t"+ 3zy'  
            Print "Execution cancelled." A[IL H_w  
            End R[z`:1lo  
        End If <!-sZ_qq  
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        'Assign accommodation and pupil diameter & use defaults if field left empty ?Xdak|?i  
        If dlg.TextBox1 = "" Then BqDKT  
            A = 0           'Default accommodation 9a\nszwa  
        Else Xs&TJ8a  
            A = CDbl(dlg.TextBox1) MV_Srz  
        End If :j|IP)-f  
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        If dlg.TextBox2 = "" Then NK|?y  
            pupilDiam = 4   'Default pupil diameter nJ4@I7Sk;  
        Else ? J} r  
            pupilDiam = CDbl(dlg.TextBox2) CQel3Jtt.  
        End If 8[r9HC  
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        Print " " ,B4VT 96*  
        Print "Accommodation = " & A & " Diopters" }X GEX:1K  
        Print "Pupil Diameter = " & pupilDiam & " mm" oH0X<'  
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        ' Calculate new parameters with accommodation JN^ &S  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness j!7`]  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens ,+`61J3W  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens .@ xF6UZ  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 1/p*tZP8i  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens gtUUsQ%y.  
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        tlens = 3.767 + 0.04*A                  'Lens thickness Rqwzh@}  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ^[%%r3"$C  
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        'Adjust parameters to account for accommodation 6wco&7   
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        '************************************************************************* 7t,t`  
        'Aqueous thickness (Position of Lens) 1c JF/"v  
        '************************************************************************* I^o!n5VM  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ikE<=:pe  
        GetCustomElement eID, entity Fnk_\d6Ma  
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        parID = FindFullName( "Geometry.Arizona Eye" ) Ax!+P\\2~  
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        ' Delete any shift(s) in z 4f(Kt,0  
        count = 0 Vh}SCUof'  
        While GetOperationCount(eID)>count eZ"1gYqy  
            GetOperation eID, count, op FU=w(< R;  
            If op.Type="ShiftZ" Then >0p$(>N]  
                DeleteOperation eID,count qfcYE=  
                count=count-1 GUslPnG  
            End If }|%eCVB  
            count=count+1 4v[~r1!V  
        Wend [ sd;`xk  
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        'Set new shift in }I`a`0/  
        op.Type = "ShiftZ" [r/k% <  
        op.val1 = taq 5NJ4  
        op.parent = parID oD}uOC}FS{  
        AddOperation eID, op vkLC-Mzm<  
        Print "Set aqueous humor thickness = " & taq-0.55 gm9mg*aM  
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        '************************************************************************* xkOpa,=FI  
        'Radius and conic constant of anterior lens OFje+S  
        '************************************************************************* =@F&o4)r  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) e.c3nKXZ q  
        GetConic eID, entity, curv, conic Zo>]rKeV  
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        SetConic eID, entity, 1/Rant, CCant p&VU0[LIC0  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Gycm,Cy  
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        '************************************************************************* 9'hv%A:\3  
        'Radius and conic constant of posterior lens |lv|!]qAma  
        '*************************************************************************  *.)tG  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) !%dN<%Ah  
        GetConic eID, entity, curv, conic yoAfc  
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        SetConic eID, entity, 1/Rpost, CCpost RmZ]" `  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ah~Y eJp  
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        '************************************************************************* \c^45<G2qA  
        'Lens thickness (Position of posterior lens surface) V`@>MOw^d  
        '************************************************************************* gk`zA  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %/updw#{B  
    Le%Z V%,  
        ' Delete any z-shift(s) pKi&[  
        count = 0 y!]CJigpZ  
        While GetOperationCount(eID)>count ,]b~t0|B  
            GetOperation eID, count, op 3P;>XGCxZ  
            If op.Type="ShiftZ" Then sUPz/Z.h  
                DeleteOperation eID,count Fv<`AU  
                count=count-1 :T9< d er,  
            End If vOg#Dqn-  
            count=count+1 _ 84ut  
        Wend a'\o 7_  
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        'Set new z-shift KF4PJi;*  
        op.Type = "ShiftZ" |r bWYl.b  
        op.val1 = tlens |^@dFOz  
        op.parent = parID 0?>dCu\  
        AddOperation eID, op `O'`eY1f  
        Print "Set lens thickness = " & tlens P (S>=,Y&  
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        '************************************************************************* %w7]@VZ  
        'Lens index of refraction @g G<le6  
        '************************************************************************* "*})3['n  
        eID = FindMaterial( "Lens" ) I" KN"v^  
        GetModelMaterial eID, mat \}]!)}G  
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        mat.Nd = nlens )aX,%yK  
        SetModelMaterial eID, mat j!3 Gz  
        Print "Set lens index of refraction = " & nlens 1IVuSp`{FU  
    |<O9Sb_  
        '************************************************************************* 2YDM9`5xs\  
        'Pupil diameter a5w:u5  
        '************************************************************************* uw2hMt (N  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;D$)P7k6  
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        'Adjust pupil diameter (trimming volume inner hole) <vwkjCA`  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" QD%L0;j  
    ]7e =fM9V;  
        ' Adjust pupil location to just in front of the lens uIZWO.OdU  
        parID = FindFullName( "Geometry.Arizona Eye" ) q/n,,!  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \_B[{e7z  
        count = 0 K#"O a h  
        While GetOperationCount(eID)>count 5<w g 8y  
            GetOperation eID, count, op L5,NP5RC  
            If op.Type="ShiftZ" Then nR`ov1RH  
                DeleteOperation eID,count '} $Dgp6e  
                count=count-1 QV\eMuNy  
            End If aE2.L;Tk?  
            count=count+1 NQ6sGL  
        Wend NC38fiH_N  
        op.Type = "ShiftZ" >;[*!<pfK5  
        op.val1 = taq-0.01 {D=@n4JO  
        op.parent = parID I(XOE$3  
        AddOperation eID, op AF%@VLf  
    L`24 ?Y{  
        Print "Set pupil diameter = " & pupilDiam ^#sU*trr  
    o]opdw  
        'Update AZ Eye subassembly Description pxa(  
        eID = FindFullName( "Geometry.Arizona Eye" ) s;A@*Y;v  
        GetEntity eID, entity KRA/MQ^7~U  
        entity.Description = "Accommodation = " & A & "D" k5T,990  
        SetEntity eID, entity MNV % =G  
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        Update hodgDrmO/  
        Print "DONE!" X*\ J_  
         }+sT4'Ah>  
    End Sub )vSRHE  
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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: L+i(TM=  
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    Accommodation = 4 Diopters pfI"36]F  
    Pupil Diameter = 4 mm aca=yDs2  
    Set aqueous humor thickness = 2.81 3p'I5,}  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 GI1  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 1 .6:#  
    Set lens thickness = 3.927 {yExQbN  
    Set lens index of refraction = 1.42672 hzvd t  
    Set pupil diameter = 4 <Sr  
    DONE! f=9|b  
     
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