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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 {x|kg;  
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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。 ?cO8'4 bq  
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    模型 nQ642i%RQ  
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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。 TmYP_5g:  
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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. ^S#\O>GHP  
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    光源 *^D@l%av;  
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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。 7<3U?]0  
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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。 U=kx`j>  
    *qPdZ   
    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。 ^XBzZ!h|  
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    图2. 字母F光源的设定方法光 h`5YA89  
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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(k Kph  
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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。 tlV &eN  
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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。 BTTLy^  
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    图5. 视网膜重点采样规格设定
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    脚本 qKdS7SoS  
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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: 0n:?sFY>  
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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。 "l@A[@R  
    余下的脚本计算与屈光度有关的所有参数。 #:J: YMv  
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    分析 7%}ay  
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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。 I^~=,D  
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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 ^rv"o:lF  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 0"EoC  
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    Dim entity As T_ENTITY <B6[i*&  
    Dim op As T_OPERATION AR%hf  
    Dim mat As T_MODELMATERIAL X8/Tl \c  
    Dim A As Double OAv>g pw  
    Dim pupilDiam As Double _!n}P5  
    Dim eID As Long $<B +K  
    Dim parID As Long 'p%= <0vrr  
    Dim count As Integer d%0+i/p  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Dv&>*0B  
    Dim tlens As Double, nlens As Double lT.zNhz:d9  
    Dim curv As Double, conic As Double &lAQ &  
    Dim ok As Long c=6ahX}d  
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    Sub Main )QmGsU}?  
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        '用户输入对话框 \PpXL*.  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ! ja[ 4.  
            TextBox 220,21,40,21,.TextBox1 'default: 0 _%Bz,C8  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ?O??cjiA@  
            OKButton 40,91,90,21 N{8"s&  
            CancelButton 190,91,90,21 Ia2(Km  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 jM~Bu.7 i6  
            TextBox 220,49,40,21,.TextBox2 'default: 4 AUfS-  
        End Dialog aD9rp V  
        Dim dlg As UserDialog l&Z Sm  
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        ok = Dialog (dlg) IdPn%)>6  
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        If ok=0 Then    'cancel button was pressed J$Fnm\  
            Print "Execution cancelled." kbxg_UI;  
            End n@!wp/J,  
        End If Z%}4bJ  
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        'Assign accommodation and pupil diameter & use defaults if field left empty c'Z: 9?#5  
        If dlg.TextBox1 = "" Then igDG}q3jG  
            A = 0           'Default accommodation q$[n`w-  
        Else ["y6b*;x  
            A = CDbl(dlg.TextBox1) 5 L/x-i  
        End If 6;o3sf@Tf  
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        If dlg.TextBox2 = "" Then Qzqc .T  
            pupilDiam = 4   'Default pupil diameter >"v9iT  
        Else #)s!}X^  
            pupilDiam = CDbl(dlg.TextBox2) }aF  
        End If TBCp L]QT  
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        Print " " tx"LeZZ  
        Print "Accommodation = " & A & " Diopters" zI^]esX!2_  
        Print "Pupil Diameter = " & pupilDiam & " mm" ?cKZ_c  
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        ' Calculate new parameters with accommodation gl{B=NN  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness Xc*U+M >U  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens yb2}_k.JG  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens :^i^0dC  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens Y9Z]i$qS&k  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens +5!&E7bcd  
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        tlens = 3.767 + 0.04*A                  'Lens thickness _V2xA88  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction OcmRZ  
    ` qUX.  
        'Adjust parameters to account for accommodation o(!@7Lqq  
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        '************************************************************************* 0|c}p([~  
        'Aqueous thickness (Position of Lens) }^xE|~p  
        '************************************************************************* *$,:m  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) SmhGZ  
        GetCustomElement eID, entity d$t40+v  
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        parID = FindFullName( "Geometry.Arizona Eye" ) NI aFI(  
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        ' Delete any shift(s) in z SJ?cI!=x  
        count = 0 o]ePP,  
        While GetOperationCount(eID)>count GbI-SbE  
            GetOperation eID, count, op c9wfsapJ  
            If op.Type="ShiftZ" Then j$Ab>}g]  
                DeleteOperation eID,count zmI]cD@G  
                count=count-1 k V;fD$iW;  
            End If e}hmS1>H  
            count=count+1 c!#:E`  
        Wend +s++7<C  
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        'Set new shift in [P~hjmJ(y  
        op.Type = "ShiftZ" P 43P]M2  
        op.val1 = taq |'d>JT:  
        op.parent = parID ]bZ(HC?KZr  
        AddOperation eID, op a u7.4ln>Y  
        Print "Set aqueous humor thickness = " & taq-0.55 =K\r-'V  
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        '************************************************************************* 3^?ZG^V  
        'Radius and conic constant of anterior lens as*4UT3  
        '************************************************************************* TX=yPq  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) n/~A`%E@  
        GetConic eID, entity, curv, conic (wRgus  
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        SetConic eID, entity, 1/Rant, CCant MUnEuhXTr  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant En{`@JsM  
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        '************************************************************************* vS\Nd1~?  
        'Radius and conic constant of posterior lens i|`dWOVb  
        '************************************************************************* z2_6??tS/c  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ~6YMD  
        GetConic eID, entity, curv, conic br-]fE.be  
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        SetConic eID, entity, 1/Rpost, CCpost _g%TSumvq<  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost El\%E"Tk%  
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        '************************************************************************* I$q]. B  
        'Lens thickness (Position of posterior lens surface) s\!>"J bAQ  
        '************************************************************************* Hso|e?Z  
    |L2SFB?d=  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Guz"wY  
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        ' Delete any z-shift(s) *(C(tPhC  
        count = 0 }>)[<;M>%  
        While GetOperationCount(eID)>count p sL?Y  
            GetOperation eID, count, op )nL`H^  
            If op.Type="ShiftZ" Then 8YC_3Yi%  
                DeleteOperation eID,count .7K7h^*F  
                count=count-1 kuyjnSo9i  
            End If WSuww  
            count=count+1 )W/;=K  
        Wend i&{DOI%w  
    MxT-1&XL  
        'Set new z-shift zR2B- &]H  
        op.Type = "ShiftZ" aDO !  
        op.val1 = tlens T5a*z}L5  
        op.parent = parID '>r7V  
        AddOperation eID, op i3rH'B -I.  
        Print "Set lens thickness = " & tlens xJ#d1[kzo  
    UQ{L{H   
        '************************************************************************* : q#Xq;Wp  
        'Lens index of refraction DI+fwXeg  
        '************************************************************************* g+J-Zg6  
        eID = FindMaterial( "Lens" ) _/i4MtM  
        GetModelMaterial eID, mat 'Lu__NfN  
    tH-C8Qxy  
        mat.Nd = nlens d_IAs  
        SetModelMaterial eID, mat |JQQU! x  
        Print "Set lens index of refraction = " & nlens YW7b)u Yf  
    "'D=,*  
        '************************************************************************* 8- 2cRs  
        'Pupil diameter l1f\=G?tmU  
        '************************************************************************* ?Y@N`S  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) |`.([2  
    e)(wss+d7P  
        'Adjust pupil diameter (trimming volume inner hole) hEp(A8g)bQ  
    9I4K}R  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" x QIq^/F0  
    tCdqh-   
        ' Adjust pupil location to just in front of the lens gP;&e:/3  
        parID = FindFullName( "Geometry.Arizona Eye" ) Z'\h  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) V,cBk  
        count = 0 8uWa=C)  
        While GetOperationCount(eID)>count [PDNwh0g5  
            GetOperation eID, count, op )c)vTZy  
            If op.Type="ShiftZ" Then RS8Hf~0G  
                DeleteOperation eID,count {GQ^fu;q  
                count=count-1 Le\?+h42>  
            End If h2XfC. f  
            count=count+1 "thdPZ  
        Wend ~vyf4TF<#  
        op.Type = "ShiftZ" oM>Z;QVRC:  
        op.val1 = taq-0.01 5yP\I+Fm  
        op.parent = parID B!?%O  
        AddOperation eID, op ;IZwTXu!S  
    >&}%+r\  
        Print "Set pupil diameter = " & pupilDiam `~By)?cT_>  
    ui/a|Q  
        'Update AZ Eye subassembly Description 5:KQg  
        eID = FindFullName( "Geometry.Arizona Eye" ) ^G}47(  
        GetEntity eID, entity :gWu9Y|{  
        entity.Description = "Accommodation = " & A & "D" w|K'M?N14  
        SetEntity eID, entity E? ; 0)'h  
    2QyV%wz  
        Update v@ lM3_rbO  
        Print "DONE!" 1=d6NX)B  
         |l]XpWV  
    End Sub [J?aD`{#O  
    +[\FD; >  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: :% ,:"  
    dtRwTUMe?  
    Accommodation = 4 Diopters b?tB(if!I  
    Pupil Diameter = 4 mm klT@cO-9  
    Set aqueous humor thickness = 2.81 H[U!%Z  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 fof TP1  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 $Avjnm  
    Set lens thickness = 3.927 ?kbiMs1;u  
    Set lens index of refraction = 1.42672 l~w2B>i)  
    Set pupil diameter = 4 PgF* 1  
    DONE! LnH?dy  
     
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