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    [分享]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: 2020-12-09
    简介 VrG4wLpLs  
    ;VQFz&Q$u  
    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 [s1Hd~$  
    CR*9-Y93  
    模型 [h"#Gwb=;  
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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。 1-z*'Ghys  
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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. X`,4pSQ;  
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    光源 G'|Emu=4  
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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 iI  
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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。 D+ki2UVt&  
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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。 @G/':N   
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    图2. 字母F光源的设定方法光 +{%@kX<V_  
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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 ,+p&ZpH  
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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。 dhW;|  
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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。 5io7!%  
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    图5. 视网膜重点采样规格设定
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    脚本 ?FRR";  
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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: ivdw1g|)h  
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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。 -`e=u<Y9@  
    余下的脚本计算与屈光度有关的所有参数。 `92 D]^g  
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    分析 ,5\:\e0H  
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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。 ~L(_q]  
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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 [5%/{W,~m  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ]\nG1+ta  
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    Dim entity As T_ENTITY !2x"'o  
    Dim op As T_OPERATION #SY8Zv  
    Dim mat As T_MODELMATERIAL ^_<>o[qE  
    Dim A As Double x7e  
    Dim pupilDiam As Double < /y V  
    Dim eID As Long rL URP2~  
    Dim parID As Long PiB)pUYj  
    Dim count As Integer *f8,R"]-g  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +N[dYm  
    Dim tlens As Double, nlens As Double MW9B -x  
    Dim curv As Double, conic As Double ej,MmLu~^  
    Dim ok As Long [ hj|8)  
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    Sub Main 4x'^?0H@  
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        '用户输入对话框 2W pe( \(  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Y,D\_il_  
            TextBox 220,21,40,21,.TextBox1 'default: 0 )<.S 3  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ?HIc=  
            OKButton 40,91,90,21 pmCBe6n \l  
            CancelButton 190,91,90,21 kt1f2cj  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ;lGa.RD[a  
            TextBox 220,49,40,21,.TextBox2 'default: 4 p!'wOThO`  
        End Dialog se_zCS4Y  
        Dim dlg As UserDialog +bm2vIh$  
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        ok = Dialog (dlg) :&)RK~1m_  
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        If ok=0 Then    'cancel button was pressed 5d}PrYa  
            Print "Execution cancelled." E08AZOY&g  
            End dab>@z4  
        End If 3:Co K#  
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        'Assign accommodation and pupil diameter & use defaults if field left empty |ry;'[*  
        If dlg.TextBox1 = "" Then Cw{#(xX  
            A = 0           'Default accommodation jo<sN  
        Else 2|}p&~G(  
            A = CDbl(dlg.TextBox1) Q\=u2}/z0  
        End If D~f.)kkC4  
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        If dlg.TextBox2 = "" Then MPzqw)_-v  
            pupilDiam = 4   'Default pupil diameter rvE!Q=y~  
        Else N#.IpY'7Ze  
            pupilDiam = CDbl(dlg.TextBox2) ;JL@V}L,  
        End If \f66ipZK*  
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        Print " " =As'vt 0  
        Print "Accommodation = " & A & " Diopters" flLmZ1"  
        Print "Pupil Diameter = " & pupilDiam & " mm" 0^(.(:  
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        ' Calculate new parameters with accommodation xC;$/u%'  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness TaolX*$5  
    )%j)*Ymz;  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens i0AC.]4e"  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens O1#rCFC|y  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens %oor7 -l  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens DBmcvC  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 6  09=o+  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction |e< U%v  
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        'Adjust parameters to account for accommodation >a4Bfnf"eI  
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        '************************************************************************* 1~`g fHI4  
        'Aqueous thickness (Position of Lens) ]hf4= gm  
        '************************************************************************* w@:o:yLS  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) PPq*_Cf  
        GetCustomElement eID, entity 2PeI+!7s  
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        parID = FindFullName( "Geometry.Arizona Eye" ) .`h+fqa  
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        ' Delete any shift(s) in z 41uS r 1  
        count = 0 @pS[_!EqYz  
        While GetOperationCount(eID)>count (/KF;J^M  
            GetOperation eID, count, op mMjVbeh[  
            If op.Type="ShiftZ" Then }E1Eq  
                DeleteOperation eID,count v'@LuF'e8  
                count=count-1 7I44BC*R~  
            End If ah<f&2f  
            count=count+1 Rw\DJJrz  
        Wend L+kS8D<  
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        'Set new shift in =H?Nb:s  
        op.Type = "ShiftZ" qnm9L w#  
        op.val1 = taq G7=8*@q>:  
        op.parent = parID C9iG`?  
        AddOperation eID, op ``z="oD  
        Print "Set aqueous humor thickness = " & taq-0.55 kg@J.   
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        '************************************************************************* HZ}'W<N  
        'Radius and conic constant of anterior lens uA,{C%?  
        '************************************************************************* H5%I?ZXw4  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Q$zlxn 7\  
        GetConic eID, entity, curv, conic Z)&HqqT3p  
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        SetConic eID, entity, 1/Rant, CCant HWU{521  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant DtS{iH=s]  
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        '************************************************************************* ?d0Dfqh_  
        'Radius and conic constant of posterior lens ;Dgp !*v=  
        '************************************************************************* 0q;] ;m  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) "|%fA E  
        GetConic eID, entity, curv, conic ;5l|-&{@*  
    n)H0;25L  
        SetConic eID, entity, 1/Rpost, CCpost O^$Zz<  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #e=^-yE  
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        '************************************************************************* LYF vzw>M  
        'Lens thickness (Position of posterior lens surface) y$"L`*W  
        '************************************************************************* Ol@ZH_  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /W>"G1)  
    ]rm=F]W/n  
        ' Delete any z-shift(s) 0Q9OQqg m  
        count = 0 ~>R)H#mP7  
        While GetOperationCount(eID)>count 2fk   
            GetOperation eID, count, op b#U%aPH  
            If op.Type="ShiftZ" Then c 1GP3  
                DeleteOperation eID,count A~>=l=  
                count=count-1 `QF|> N  
            End If E=QQZ\w  
            count=count+1 'W*F[U*&HP  
        Wend ]>o2P cb;  
    jYF3u0 )  
        'Set new z-shift B=r/(e  
        op.Type = "ShiftZ" ?rDwYG(u]@  
        op.val1 = tlens y^rg%RV  
        op.parent = parID jayoARUB  
        AddOperation eID, op :[39g;V}c  
        Print "Set lens thickness = " & tlens ?0a 0 R  
    R2s>;V.:  
        '************************************************************************* *ZGN!0/  
        'Lens index of refraction hzb|:  
        '************************************************************************* $C/Gn~k 5  
        eID = FindMaterial( "Lens" ) S@)bl  
        GetModelMaterial eID, mat }"Cn kg  
    DeSTo9A}!  
        mat.Nd = nlens nE;gM1I  
        SetModelMaterial eID, mat 6f!mk:\T.  
        Print "Set lens index of refraction = " & nlens h_L '_*  
    cg%CYV)  
        '************************************************************************* bl<7[J.  
        'Pupil diameter &/F[kAy  
        '************************************************************************* c,wU?8Nc|$  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ^aCYh[=  
    nL!@#{z  
        'Adjust pupil diameter (trimming volume inner hole) ]Dg0@Y  
    sQs5z~#51*  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ?g4|EV-56  
    I>#ChV)(#  
        ' Adjust pupil location to just in front of the lens ^nF$<#a  
        parID = FindFullName( "Geometry.Arizona Eye" ) BkfBFUDQ  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) :nUsC+oBS  
        count = 0 ]:s|.C%qI  
        While GetOperationCount(eID)>count Nk4_!  
            GetOperation eID, count, op |plo65  
            If op.Type="ShiftZ" Then I+t38 un%  
                DeleteOperation eID,count ,?6m"ov4(  
                count=count-1 ""^BW Re D  
            End If }8: -I Nj4  
            count=count+1 q?4uH;h:^G  
        Wend e~;)-Z  
        op.Type = "ShiftZ" n0pe7/Ai  
        op.val1 = taq-0.01 HPKyAcS\  
        op.parent = parID e&4u^'+K  
        AddOperation eID, op Zr;=p"cXr  
    ;@ X   
        Print "Set pupil diameter = " & pupilDiam 66^t[[  
    s.)w A`&&  
        'Update AZ Eye subassembly Description z{L;)U B^  
        eID = FindFullName( "Geometry.Arizona Eye" ) nF$)F?||  
        GetEntity eID, entity b.*4RL  
        entity.Description = "Accommodation = " & A & "D" E}/|Lja  
        SetEntity eID, entity [frD L)  
    ix@rq#  
        Update UO<claV  
        Print "DONE!" 2(/ /slP  
         0\nhg5]?  
    End Sub F$ p*G][  
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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: no6]{qn=6  
    {; cB?II  
    Accommodation = 4 Diopters &"%|`gE  
    Pupil Diameter = 4 mm <# r.}T.l  
    Set aqueous humor thickness = 2.81 <" l;l~Y1  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Yj/nzTVJ[  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 uN3J)@;_  
    Set lens thickness = 3.927 1|w:xG^  
    Set lens index of refraction = 1.42672 'OW"*b  
    Set pupil diameter = 4 %P,^}h7  
    DONE! $!!=fFX*y  
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    QQ:2987619807 .hNw1~Fj  
     
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