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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 sLk-x\P]|  
    EU#^7  
    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。 |.dRily+  
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    模型 3so %gvY.'  
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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。 v$9y,^p@e  
    r JB}qYD  
    Table 1. AZ眼睛模型的定义
    =_^X3z0  
    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. :4|4=mkr  
    46;uW{EY  
    光源 '3;b@g,  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 lTsjxw o  
    %so]L+r2!  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 O/LXdz0B  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 2mU.7!g)  
    : Dp0?&_  
    图2. 字母F光源的设定方法光 6LhTBV  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 -\MG}5?!  
    I1J-)R+  
    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Hr C+Yjp  
    O.M 1@w]  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 i/.6>4tE:  
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    图5. 视网膜重点采样规格设定
    HOi`$vX }N  
    脚本 wuBPfb  
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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: ry]l.@o;  
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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。 \7_y%HR  
    余下的脚本计算与屈光度有关的所有参数。 I=#$8l.*  
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    分析 Ul# r  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >mkFV@`  
    ,: ^u-b|  
    图7. 字母F在视网膜上颜色分析
    ~M$Wd2Th  
    脚本代码 %2h>-.tY  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. dWW.Y*339  
    C,zohlpC  
    Dim entity As T_ENTITY 'fW-Y!k%  
    Dim op As T_OPERATION HKeK<V  
    Dim mat As T_MODELMATERIAL Bp{Ri_&A  
    Dim A As Double tX[WH\(xI  
    Dim pupilDiam As Double d_ CT $  
    Dim eID As Long )PZT4jTt  
    Dim parID As Long SfR%s8c`  
    Dim count As Integer j1Ezf=N6`  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double w(F%^o\  
    Dim tlens As Double, nlens As Double afk>+4q  
    Dim curv As Double, conic As Double d5-qZ{W  
    Dim ok As Long 3gzXbP,  
    @]0%L0u  
    Sub Main M\=2uKG#  
    T{'RV0%   
        '用户输入对话框 ?cZlN !  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @nf`Gw ;  
            TextBox 220,21,40,21,.TextBox1 'default: 0 DwF hK*  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V )4J`xg^  
            OKButton 40,91,90,21 31)&vf[[  
            CancelButton 190,91,90,21 JS77M-Ac  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W l4%GB  
            TextBox 220,49,40,21,.TextBox2 'default: 4 h];I{crh  
        End Dialog 8Y?;x}  
        Dim dlg As UserDialog V8(-  
    \NC3'G:Ii  
        ok = Dialog (dlg) u:EiwRW  
    ^Dx&|UwiZa  
        If ok=0 Then    'cancel button was pressed z{>Rc"%\  
            Print "Execution cancelled." mc3"`+o  
            End $!DpjN  
        End If 11lsf/IP  
    Pc9H0\+Xk  
        'Assign accommodation and pupil diameter & use defaults if field left empty _f{{( 7  
        If dlg.TextBox1 = "" Then &{i{XcqH'  
            A = 0           'Default accommodation 0$njMnB2l  
        Else SAz   
            A = CDbl(dlg.TextBox1) KSL`W2}  
        End If I_BJH'!t  
    W>LR\]Ti@  
        If dlg.TextBox2 = "" Then =lC7gS!U  
            pupilDiam = 4   'Default pupil diameter bZ6+,J  
        Else +h$ 9\  
            pupilDiam = CDbl(dlg.TextBox2) m kexc~l  
        End If uw7zWJ n  
    ;Xw~D_uv  
        Print " " 54/=G(F   
        Print "Accommodation = " & A & " Diopters" IK]d3owA  
        Print "Pupil Diameter = " & pupilDiam & " mm" YS ][n_  
    ctUp=po  
        ' Calculate new parameters with accommodation Uz7<PLxd  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness W%J\qA  
    A=4OWV?  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens 5X+A"X ;C  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens qb4z T  
    xkn;,`t^lJ  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens BuwY3F\-O  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens UI#h&j5pW  
    T;uX4,|(  
        tlens = 3.767 + 0.04*A                  'Lens thickness fZ. ONq  
    Q20 %"&Xp]  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction _g. {MTQ  
    $u.z*b_yy  
        'Adjust parameters to account for accommodation 1"g<0 W  
    xfQ1T)F3g  
        '************************************************************************* AR=]=8  
        'Aqueous thickness (Position of Lens) $C\BcKlmv  
        '************************************************************************* ZW}_DT0  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5m*,8]!-  
        GetCustomElement eID, entity oQ#8nu{k  
    nK,w]{<wG!  
        parID = FindFullName( "Geometry.Arizona Eye" ) PM+[,H  
    &o*A {  
        ' Delete any shift(s) in z Uv.)?YeGh  
        count = 0 HDLk>_N_s,  
        While GetOperationCount(eID)>count kFB  
            GetOperation eID, count, op YMgNzu  
            If op.Type="ShiftZ" Then _L PHPj^Pg  
                DeleteOperation eID,count 9my^ Y9B  
                count=count-1 uS-|wYE  
            End If P'2Qen*  
            count=count+1 99S ^f:t  
        Wend e!Hhs/&!T  
     eIlva?  
        'Set new shift in ;I*o@x_  
        op.Type = "ShiftZ" {FG j]*  
        op.val1 = taq M{\I8oOg  
        op.parent = parID s>en  
        AddOperation eID, op RpK@?[4s  
        Print "Set aqueous humor thickness = " & taq-0.55 R2;  
    O}P`P'Y|'  
        '************************************************************************* hc1N ~$3!G  
        'Radius and conic constant of anterior lens 8QK&_n*  
        '************************************************************************* TJN4k@\$2  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Tk>#G{Wb-  
        GetConic eID, entity, curv, conic H[gWGbPq7  
    %RVZD#zr  
        SetConic eID, entity, 1/Rant, CCant 9z0p5)]n>  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4JEpl'5^Q  
    C}X\|J  
        '************************************************************************* ),)lzN%!  
        'Radius and conic constant of posterior lens O8o3O 6[Y  
        '************************************************************************* C+]I@Go'Tk  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /{[o ~:'p  
        GetConic eID, entity, curv, conic lk!@?  
    .6> w'F{>  
        SetConic eID, entity, 1/Rpost, CCpost j+!v}*I![  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost FlQGg VN  
    D@KlOU{<  
        '************************************************************************* \GBuWY3B  
        'Lens thickness (Position of posterior lens surface) ==B6qX8T  
        '************************************************************************* 5s XXM  
    7nSxi+6e  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) No$3"4wk  
    CAlCDfKW}  
        ' Delete any z-shift(s) UBs4K*h|  
        count = 0 $:6!H:ty  
        While GetOperationCount(eID)>count Y@v>FlqI{  
            GetOperation eID, count, op =%7-ZH9  
            If op.Type="ShiftZ" Then +mPx8P&%  
                DeleteOperation eID,count ^pS~Z~[d/  
                count=count-1 TrNF=x>  
            End If yVfC-Z   
            count=count+1 =AT."$r>  
        Wend ni<(K 0~  
    <%^&2UMg  
        'Set new z-shift 'R)Tn!6  
        op.Type = "ShiftZ" 6b,V;#Anj  
        op.val1 = tlens 7^Uv7< pw  
        op.parent = parID y} '@R$  
        AddOperation eID, op d5b%  W3  
        Print "Set lens thickness = " & tlens zCA2X !7F  
    K:M8h{Ua  
        '************************************************************************* rOYx b }1  
        'Lens index of refraction yauvXosX  
        '************************************************************************* ]|@^1we  
        eID = FindMaterial( "Lens" ) 54,er$$V  
        GetModelMaterial eID, mat / 1RpM]d  
    bD^owa  
        mat.Nd = nlens =wJX 0A|  
        SetModelMaterial eID, mat } \f0 A-  
        Print "Set lens index of refraction = " & nlens :0/ 7,i  
    qK+5NF|  
        '************************************************************************* b>W %t  
        'Pupil diameter km(Po}  
        '************************************************************************* s~>}a  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #tHK"20  
    wzA$'+Mb  
        'Adjust pupil diameter (trimming volume inner hole) aXVFc5C\  
    0K+ne0I  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" y-k.U%  
    kstIgcI  
        ' Adjust pupil location to just in front of the lens GyIV Hby  
        parID = FindFullName( "Geometry.Arizona Eye" ) @~e5<:|5#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) hxx.9x>ow  
        count = 0 6863xOv{T  
        While GetOperationCount(eID)>count mw!F{pw  
            GetOperation eID, count, op _t$sgz&  
            If op.Type="ShiftZ" Then 3]>|  i  
                DeleteOperation eID,count /z!%d%"  
                count=count-1 F2WKd1U  
            End If w xH7?tsf  
            count=count+1 5R-6ji  
        Wend RN1_S  
        op.Type = "ShiftZ" dG{A~Z z  
        op.val1 = taq-0.01 :h$$J lP  
        op.parent = parID !VJoM,b8  
        AddOperation eID, op *|0 -~u%q  
    yfSmDPh  
        Print "Set pupil diameter = " & pupilDiam D- c4EV  
    2T35{Q!=F  
        'Update AZ Eye subassembly Description 8y L Y  
        eID = FindFullName( "Geometry.Arizona Eye" ) Z r8*et  
        GetEntity eID, entity y `UaB3q  
        entity.Description = "Accommodation = " & A & "D" uD'6mk*  
        SetEntity eID, entity M7T5 ~/4  
    b sX[UF  
        Update ,hVli/  
        Print "DONE!" %{|pj +  
         ?}0,o.  
    End Sub O?2DQY?jT  
    .3;;;K9a~]  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: vt8By@]:  
    CrLrw T  
    Accommodation = 4 Diopters ";F'~}bDA  
    Pupil Diameter = 4 mm zfU{Kd  
    Set aqueous humor thickness = 2.81 ;I}fBZ 3  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 K-4PI+qQ\  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 t_^4`dW`  
    Set lens thickness = 3.927 Y7|EIAU5Y  
    Set lens index of refraction = 1.42672 +%'(!A?*`  
    Set pupil diameter = 4 ]G\}k  
    DONE! aUp g u"  
     
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