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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 C|pdv  
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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。 9mA{K    
    'AN>`\mR$  
    模型 3k#~yaoI  
    [sB 9gY(  
    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。 X 1 57$  
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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. 9IX/wm"  
    QQWadVQo  
    光源 }zhGS!fO  
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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。 KQB3 m"  
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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。 |*}4 m'c  
    ` ,SiA-3*  
    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。  }Y;K~J  
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    图2. 字母F光源的设定方法光 |yx6X{$k  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 (1#J%  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 l1f\=G?tmU  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 9I4K}R  
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    图5. 视网膜重点采样规格设定
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    脚本 ,^C--tgZJg  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: >r !|sC  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 \SB c;  
    余下的脚本计算与屈光度有关的所有参数。 INJEsz  
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    分析 MRdduPrM%$  
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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。 @0/+_2MH-  
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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 'h,VR=e<  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. c}2jmwq  
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    Dim entity As T_ENTITY ivN&HAxI@  
    Dim op As T_OPERATION t:'Mh9h7u  
    Dim mat As T_MODELMATERIAL C$XU%5qi  
    Dim A As Double sM `DL  
    Dim pupilDiam As Double ;EP:o%r  
    Dim eID As Long u)+8S/ )  
    Dim parID As Long NgP&.39U  
    Dim count As Integer 7_inJ$  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double A;]}m8(*  
    Dim tlens As Double, nlens As Double vVFy*#I#_[  
    Dim curv As Double, conic As Double U_I5fK =  
    Dim ok As Long |xdsl,  
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    Sub Main K3#@SY j  
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        '用户输入对话框 b?tB(if!I  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %D\[*  
            TextBox 220,21,40,21,.TextBox1 'default: 0 7%x[q}  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 /}b03  
            OKButton 40,91,90,21 GLeK'0Q@  
            CancelButton 190,91,90,21 Bf~vA4  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r{L> F]Tw  
            TextBox 220,49,40,21,.TextBox2 'default: 4 U@uGNMKR  
        End Dialog 0dE@c./R i  
        Dim dlg As UserDialog S.-TOE  
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        ok = Dialog (dlg) -"' j7t:  
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        If ok=0 Then    'cancel button was pressed 'h|DO/X~L  
            Print "Execution cancelled." 128EPK  
            End KBx6NU?;PO  
        End If ~j}cyHg  
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        'Assign accommodation and pupil diameter & use defaults if field left empty [+n*~  
        If dlg.TextBox1 = "" Then keL&b/@  
            A = 0           'Default accommodation v$?+MNks  
        Else mwHB(7YS,  
            A = CDbl(dlg.TextBox1) jaII r06  
        End If PNgY >=Y  
    K* LlW@  
        If dlg.TextBox2 = "" Then :L F?  
            pupilDiam = 4   'Default pupil diameter Yg%I?  
        Else 1 ySk;;3  
            pupilDiam = CDbl(dlg.TextBox2) Vc&! OE  
        End If ?PeJlpYzV  
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        Print " " E7j(QO f  
        Print "Accommodation = " & A & " Diopters" [9evz}X  
        Print "Pupil Diameter = " & pupilDiam & " mm" PUp6Q;AdQ  
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        ' Calculate new parameters with accommodation 1"MhGNynB>  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness [1g8*j~L  
    [=6]+V83M  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Y!-M_v/  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ;=)k<6  
    Dp,L/1GQ8  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens #+ 0M2Sa  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Lb:g4A"  
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        tlens = 3.767 + 0.04*A                  'Lens thickness ,w<S|#W~+  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ;DqWh0  
    k]F[>26k  
        'Adjust parameters to account for accommodation AVlhNIr  
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        '************************************************************************* I8hz(2jI  
        'Aqueous thickness (Position of Lens) q;T{|5/O  
        '************************************************************************* <'y?KiphL  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5d Eh7XL  
        GetCustomElement eID, entity 2b}t,&bv?  
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        parID = FindFullName( "Geometry.Arizona Eye" ) deBY5|  
    ,1~"eGl!  
        ' Delete any shift(s) in z n4;.W#\  
        count = 0 =upeRY@u5  
        While GetOperationCount(eID)>count k9sh @ENy  
            GetOperation eID, count, op kJ'!r  
            If op.Type="ShiftZ" Then '\l"   
                DeleteOperation eID,count >*~L28Fyn  
                count=count-1 SD"FErJ  
            End If ?8npG]L)  
            count=count+1 dI.WK@W'o  
        Wend jl4rbzse  
    g1/:Q%R,  
        'Set new shift in &47i"%  
        op.Type = "ShiftZ" 9vuyv*-}e  
        op.val1 = taq fiK6@,  
        op.parent = parID ,k +IPkN+  
        AddOperation eID, op hci6P>h<ia  
        Print "Set aqueous humor thickness = " & taq-0.55 ?A K(|  
    ~Z\8UsVN  
        '************************************************************************* b z`+k,*  
        'Radius and conic constant of anterior lens 7Haa;2 T'  
        '************************************************************************* I:R[;TB?y  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -]0OKE&  
        GetConic eID, entity, curv, conic Ci@o|Y }tP  
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        SetConic eID, entity, 1/Rant, CCant  U f:`  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {fPy=,>Nb  
    'F+C4QAq  
        '************************************************************************* x,=&JtKVc  
        'Radius and conic constant of posterior lens so,t   
        '************************************************************************* F&!6jv  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ~8q)^vm>f?  
        GetConic eID, entity, curv, conic %0S3V[4I  
    !a{^=#qq&I  
        SetConic eID, entity, 1/Rpost, CCpost tqz3zIQ  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]J1dtN=  
    LA!?H]  
        '************************************************************************* [g7L&`f9  
        'Lens thickness (Position of posterior lens surface) ]~Rho_mq#  
        '************************************************************************* pR*VdC _mY  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) lEH65;Nh*  
    S5gyr&dm  
        ' Delete any z-shift(s) Xpr?Kgz  
        count = 0 XQY#716)  
        While GetOperationCount(eID)>count QmQ=q7  
            GetOperation eID, count, op A!od9W6  
            If op.Type="ShiftZ" Then ui< N[  
                DeleteOperation eID,count 8H%;WU9-  
                count=count-1 p)KheLiZ  
            End If D#_3^Kiawj  
            count=count+1 D>`xzt'.6  
        Wend y*4=c _Z  
    ux=w!y;}  
        'Set new z-shift !S$:*5=&  
        op.Type = "ShiftZ" NxkGOAOE  
        op.val1 = tlens bg!/%[ {M  
        op.parent = parID ahJ`T*)HY  
        AddOperation eID, op M,j U}yD3  
        Print "Set lens thickness = " & tlens prWk2_D;*  
    w;%.2VJ  
        '************************************************************************* 6|gCuT4  
        'Lens index of refraction )MtF23k)g  
        '************************************************************************* 8EZ$g<}  
        eID = FindMaterial( "Lens" ) x) ,eI'mf  
        GetModelMaterial eID, mat 57'*w]4f  
    G~F b  
        mat.Nd = nlens Q7HRzA^-  
        SetModelMaterial eID, mat ` )/vq-9  
        Print "Set lens index of refraction = " & nlens ~k"=4j9  
    B al`y  
        '************************************************************************* aHV;N#Lx3  
        'Pupil diameter ?k+xSV  
        '************************************************************************* >Rl"  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Jz\%%C  
    qSM|hHDo)  
        'Adjust pupil diameter (trimming volume inner hole) -"R2  
    4R#chQ  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 6]&OrS[  
    &u]8IEv}u  
        ' Adjust pupil location to just in front of the lens S4Pxc ]!  
        parID = FindFullName( "Geometry.Arizona Eye" )  Fe#  1  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h&M{]E9=  
        count = 0 .8 2P(}h  
        While GetOperationCount(eID)>count >f|||H}Snw  
            GetOperation eID, count, op 034iK[ib"  
            If op.Type="ShiftZ" Then ?1*cO:O  
                DeleteOperation eID,count ^-TE([bW  
                count=count-1 /74QMx?  
            End If ;(b9#b.  
            count=count+1 M-$%Rzl_  
        Wend #%pI(,o=  
        op.Type = "ShiftZ" J-[,KME_^  
        op.val1 = taq-0.01 kGH}[w  
        op.parent = parID +=>,Pto<  
        AddOperation eID, op 7z%L*z8V  
    5 )A1\  
        Print "Set pupil diameter = " & pupilDiam d8DV[{^  
    Ja|5 @  
        'Update AZ Eye subassembly Description y|jl[pyg)  
        eID = FindFullName( "Geometry.Arizona Eye" ) \q>bs|2  
        GetEntity eID, entity %h hfU6[  
        entity.Description = "Accommodation = " & A & "D" ;d@#XIS&-(  
        SetEntity eID, entity ZFA`s qT  
    <]6SN  
        Update %Si6]3-^@  
        Print "DONE!" Yc`o5Q\>  
         59 h]UX=  
    End Sub Oz w.siD  
    l94b^W}1)W  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: S%$ }(  
    $CRm3#+ ~  
    Accommodation = 4 Diopters L,HhbTRca  
    Pupil Diameter = 4 mm n|6Ic,:[  
    Set aqueous humor thickness = 2.81 7dN*lks  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 rbul8(1h  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mWv3!i;G<s  
    Set lens thickness = 3.927 g6y B6vk  
    Set lens index of refraction = 1.42672 ?L x24*5%  
    Set pupil diameter = 4 kF3k7,.8&  
    DONE! # ncRb  
    imVo<Je7z(  
    _1!7V3|^  
    QQ:2987619807 .nO\kgoK  
     
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