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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 -[-Ry6G  
    ;P2(C >|  
    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。 atWB*kqI  
    6jo+i[h  
    模型 wVY;)1?  
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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。 Q5pm^X._j  
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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. Ehf3L |9   
    N6*v!M+  
    光源 +Y|HO[  
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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。 M}W};~V2ng  
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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。 {_5PN^J  
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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。 5N4[hQrVJ  
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    图2. 字母F光源的设定方法光 <u85>x  
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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 'hw_ew   
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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。 /]*#+;;%  
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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。 p$A`qx<M_  
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    图5. 视网膜重点采样规格设定
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    脚本 Q&Ox\*sMK  
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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: 9AROvq|#  
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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。 63?fn~0\  
    余下的脚本计算与屈光度有关的所有参数。 wf8GH}2A  
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    分析 K?o}B  
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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 \]!  
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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 { !C';^  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. VIxt;yE  
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    Dim entity As T_ENTITY vQ}'4i8(  
    Dim op As T_OPERATION =Xc[EUi<;g  
    Dim mat As T_MODELMATERIAL c=T^)~$$  
    Dim A As Double Sr`gQ#b@r}  
    Dim pupilDiam As Double zaVDe9B,7  
    Dim eID As Long sgn,]3AUq  
    Dim parID As Long U&mJ_f#M  
    Dim count As Integer @lP<Mq~]  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ?wR;"  
    Dim tlens As Double, nlens As Double G'<J8;B* t  
    Dim curv As Double, conic As Double aO]0|<2 j  
    Dim ok As Long AE)<ee%\\  
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    Sub Main y^gazr"  
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        '用户输入对话框 #(53YoV_8  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4C ;4"6  
            TextBox 220,21,40,21,.TextBox1 'default: 0 rZy38Wo  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 o4b!U%  
            OKButton 40,91,90,21 _= _]Yx  
            CancelButton 190,91,90,21 b-{\manH  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 PomX@N}1  
            TextBox 220,49,40,21,.TextBox2 'default: 4 :ji_dQ8k  
        End Dialog pQxaT$  
        Dim dlg As UserDialog byv(:xk|'e  
    7"r7F#D=G  
        ok = Dialog (dlg) dyjzF`H  
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        If ok=0 Then    'cancel button was pressed daaEN(  
            Print "Execution cancelled." -0Q:0wU  
            End ~$f+]7  
        End If '!!w|k d  
    TD-d5P^Kek  
        'Assign accommodation and pupil diameter & use defaults if field left empty q0 :Lb  
        If dlg.TextBox1 = "" Then X9nt;A2TU+  
            A = 0           'Default accommodation :rb<mg[  
        Else -uiZp !  
            A = CDbl(dlg.TextBox1) uKqN  
        End If }(-R`.e;  
    xyx.1o e!  
        If dlg.TextBox2 = "" Then +b] g;  
            pupilDiam = 4   'Default pupil diameter ' %OQd?MhL  
        Else {W }.z  
            pupilDiam = CDbl(dlg.TextBox2) x!q$`zF\\  
        End If >#R<*?*D}  
    ;0}$zy1EZ  
        Print " " $.(>Sj1  
        Print "Accommodation = " & A & " Diopters" >.PLD} zE_  
        Print "Pupil Diameter = " & pupilDiam & " mm" g!7/iKj:  
    pCA(>(  
        ' Calculate new parameters with accommodation IR>^U  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ?N#mD  
    SPL72+S`,  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens MyuFZ7Q4$  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens K 3?7Hndf2  
    -) $$4<L  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens tCK%vd%  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens #HB]qa  
    jh`&c{#*)M  
        tlens = 3.767 + 0.04*A                  'Lens thickness >i]r,j8!  
    PP&AF?C  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction v4(!~S  
    !yH&l6s  
        'Adjust parameters to account for accommodation E$f.&<>T  
    D(}v`q{Y  
        '************************************************************************* 8;.WX  
        'Aqueous thickness (Position of Lens) +"T?.,  
        '************************************************************************* R{@WlkG}  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) kwK<?\D  
        GetCustomElement eID, entity 52K3N^RgR  
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        parID = FindFullName( "Geometry.Arizona Eye" ) `#2}[D   
    vhZpYW8  
        ' Delete any shift(s) in z hp,bfcM  
        count = 0 pF#nj`L  
        While GetOperationCount(eID)>count ,/|"0$p2x  
            GetOperation eID, count, op 8@Xq ,J  
            If op.Type="ShiftZ" Then &iL"=\#  
                DeleteOperation eID,count qJVW :$1q  
                count=count-1 #+QwRmJdT!  
            End If I 8`@Srw8  
            count=count+1 0NZg[>H  
        Wend !iCY!:  
    qWtvo';3  
        'Set new shift in .'p_j(uv  
        op.Type = "ShiftZ" =wPl;SDf!  
        op.val1 = taq D^I%tn=F  
        op.parent = parID G*mk 19Z  
        AddOperation eID, op ?A2#V(4  
        Print "Set aqueous humor thickness = " & taq-0.55 WWc{]R^D  
    a*NcL(OC  
        '************************************************************************* }X)mZyM[  
        'Radius and conic constant of anterior lens QgC  
        '************************************************************************* ; @-7'%(C  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) yiSv#wD9  
        GetConic eID, entity, curv, conic Sh*LD QL<?  
    9EK5#_L[=  
        SetConic eID, entity, 1/Rant, CCant y0M^oLx  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d5\w'@Di  
    K]oFV   
        '************************************************************************* QK% {\qu  
        'Radius and conic constant of posterior lens w8kp6_i'  
        '************************************************************************* g,7`emOX  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ~0!s5  
        GetConic eID, entity, curv, conic :7<spd(%"  
    yK_$6EtNKj  
        SetConic eID, entity, 1/Rpost, CCpost ]P<u^ `{*  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost M8ZpNa  
    tVvRT*>Wb  
        '************************************************************************* 1xar L))  
        'Lens thickness (Position of posterior lens surface) /^G1wz2  
        '************************************************************************* H@qA X  
    s6lo11  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) CQW#o_\  
    0ym>Hbax)  
        ' Delete any z-shift(s) GP<A v1  
        count = 0 i!LEA/"V  
        While GetOperationCount(eID)>count MVs@~=  
            GetOperation eID, count, op ZC@ 33Q(  
            If op.Type="ShiftZ" Then ly7\H3  
                DeleteOperation eID,count d0"Hu^]  
                count=count-1 (q59cAw~X  
            End If Z O5_n  
            count=count+1 (Gp/^[.%&  
        Wend  btJ:Wt}  
    *R m>bLI  
        'Set new z-shift (y[+s?;WyB  
        op.Type = "ShiftZ" <xKer<D %  
        op.val1 = tlens casva;  
        op.parent = parID WolkW:(Cg  
        AddOperation eID, op z Xx HaM  
        Print "Set lens thickness = " & tlens KaNi'=nW  
    g'ha7~w(p  
        '************************************************************************* T@GT=1E)  
        'Lens index of refraction c3W9"  
        '************************************************************************* WUm8 3"  
        eID = FindMaterial( "Lens" ) W,9. z%  
        GetModelMaterial eID, mat _HW~sz|  
    7xTgG!>v  
        mat.Nd = nlens 0?8O9i  
        SetModelMaterial eID, mat rkugV&BhV  
        Print "Set lens index of refraction = " & nlens J]yUjnQ[h  
    dl mF?N|EC  
        '************************************************************************* XZD9vFj1Z  
        'Pupil diameter r: ]t9y>$<  
        '************************************************************************* [nZf4KN  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 5ltEnvN  
    `U?" {;j {  
        'Adjust pupil diameter (trimming volume inner hole) UmUw>+A  
    <ZcJC+k  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }^U7NZn<"  
    [-5%[ty9X  
        ' Adjust pupil location to just in front of the lens D[32 t0  
        parID = FindFullName( "Geometry.Arizona Eye" ) HX%lL }E  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) X|zQZ<CO  
        count = 0 ?~X*\  
        While GetOperationCount(eID)>count ~~>`WA\G5,  
            GetOperation eID, count, op "HX,RJ @^K  
            If op.Type="ShiftZ" Then `2-6Qv  
                DeleteOperation eID,count h_#x@p  
                count=count-1 @SeInew;`l  
            End If "Zm**h.t  
            count=count+1 B3|h$aKC  
        Wend 9'nM$ a  
        op.Type = "ShiftZ" aO8n\'bv  
        op.val1 = taq-0.01 {w:*t)@j  
        op.parent = parID Z>hS&B  
        AddOperation eID, op $/*1 9 e~  
    nb-]fa  
        Print "Set pupil diameter = " & pupilDiam B=14 hY@`  
    8_ byS<b8  
        'Update AZ Eye subassembly Description :5|'C  
        eID = FindFullName( "Geometry.Arizona Eye" ) Q+@/.qJ  
        GetEntity eID, entity O&BNhuW2  
        entity.Description = "Accommodation = " & A & "D" ykK21P,v  
        SetEntity eID, entity Q^13KWvuV  
    O?\UPNb:K  
        Update $d0xJxM  
        Print "DONE!" BNi6I\wa  
         6d~[j <@2  
    End Sub )(bAi  
    vge4&H3a&  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: VWhq +8z  
    Q /D?U[G  
    Accommodation = 4 Diopters N;Hoi8W  
    Pupil Diameter = 4 mm zplAH!s5''  
    Set aqueous humor thickness = 2.81 MpY/G%3  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 0\tV@ 6p2=  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 mnzB90<  
    Set lens thickness = 3.927 hc7"0mVd{  
    Set lens index of refraction = 1.42672 xXb7/.*qE  
    Set pupil diameter = 4 WO;2=[#O;  
    DONE! ^.3(o{g  
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    QQ:2987619807 <S[]VXy  
     
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