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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 L5j%4BlK/  
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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。 z}z 6Vg  
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    模型 DElrY)3O.  
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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。 "\`>Ll  
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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. bo|3sN+D  
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    光源 sFbN)Cx  
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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。 ?DrA@;IB  
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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。 "zZ Z h  
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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。 h"3Mj*s  
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    图2. 字母F光源的设定方法光 Em ;2fh  
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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 nr]:Y3KyxX  
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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。 9y+0Zj+.  
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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。 cw"Ou%  
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    图5. 视网膜重点采样规格设定
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    脚本 ? FlQ\q  
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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: (Cb;=:3G  
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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。 ^_gH}~l+U  
    余下的脚本计算与屈光度有关的所有参数。 XY^]nm-{I  
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    分析 Qg]+&8!*  
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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。 6UKZ0~R  
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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 Qo~|[]GE  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. +L|x^ B3  
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    Dim entity As T_ENTITY jS ?#c+9  
    Dim op As T_OPERATION 5=&ME(fmV  
    Dim mat As T_MODELMATERIAL N 9W,p 2  
    Dim A As Double i__f%j`!W  
    Dim pupilDiam As Double t0_4jV t  
    Dim eID As Long Ye S5%?Fk  
    Dim parID As Long hVIv->  
    Dim count As Integer A<_{7F9  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MY}/h@  
    Dim tlens As Double, nlens As Double Ggry,3X3  
    Dim curv As Double, conic As Double kvG.?^ v  
    Dim ok As Long c] -  
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    Sub Main zygH-3C7o  
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        '用户输入对话框 2<9&OL  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 d$^ @$E2f  
            TextBox 220,21,40,21,.TextBox1 'default: 0 a<J< Oc!  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^8KxU  
            OKButton 40,91,90,21 <JIqkGeAi  
            CancelButton 190,91,90,21 ,rV;T";r  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 d uP0US  
            TextBox 220,49,40,21,.TextBox2 'default: 4 8*;>:g  
        End Dialog 2@W`OW Njm  
        Dim dlg As UserDialog RN&6z"|jR  
    } m"':f  
        ok = Dialog (dlg) CG;+Z-"X  
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        If ok=0 Then    'cancel button was pressed 10Q!-K),p  
            Print "Execution cancelled." U1`pY:P  
            End  W_6gV  
        End If +|Izjx]ZV  
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        'Assign accommodation and pupil diameter & use defaults if field left empty n-g#nEc:  
        If dlg.TextBox1 = "" Then +p[O|[z  
            A = 0           'Default accommodation x2TE[#><  
        Else G5%k.IRz  
            A = CDbl(dlg.TextBox1) ;l^'g}dQ^  
        End If pedyWA>  
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        If dlg.TextBox2 = "" Then Lr 9E02  
            pupilDiam = 4   'Default pupil diameter k!bG![Ie|  
        Else I@5$<SN  
            pupilDiam = CDbl(dlg.TextBox2) B2Rpd &[  
        End If bI^F (  
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        Print " " n0G@BE1Y=  
        Print "Accommodation = " & A & " Diopters" B" _Xst  
        Print "Pupil Diameter = " & pupilDiam & " mm" fda4M  
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        ' Calculate new parameters with accommodation g}S%D(~  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness }t:* w  
    &*bpEdkZ  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens Nv|0Z'M  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 2'@D0L  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens u@P1`E1Q  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens aK_k'4YTm  
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        tlens = 3.767 + 0.04*A                  'Lens thickness bN6i*) }  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction O\gVB!x  
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        'Adjust parameters to account for accommodation )c?nh3D  
    'MW O3  
        '************************************************************************* :Gzp (@<@e  
        'Aqueous thickness (Position of Lens) Jz*A!Li  
        '************************************************************************* _0ZU I^#  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }#2(WHf =<  
        GetCustomElement eID, entity F(ZczwvR  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 'vYt_T  
    q: X^V$`  
        ' Delete any shift(s) in z u%6b|M@P  
        count = 0 hd,O/-m#  
        While GetOperationCount(eID)>count -r]L MQ  
            GetOperation eID, count, op 7G7"Zule*j  
            If op.Type="ShiftZ" Then bR1Q77<G\  
                DeleteOperation eID,count  -PU.Uw]  
                count=count-1 O OXP1L  
            End If (Q&O'ng1  
            count=count+1 d'H gek{T  
        Wend 4?+jvVq  
    KfYT  
        'Set new shift in ]>ndFE6kl  
        op.Type = "ShiftZ" P!IXcPKW53  
        op.val1 = taq HIt9W]koO  
        op.parent = parID n ywC]T  
        AddOperation eID, op ]rNxvFN*j  
        Print "Set aqueous humor thickness = " & taq-0.55 d{7)_Sbky  
    AX'-}5T=  
        '************************************************************************* -3y  
        'Radius and conic constant of anterior lens ~;YkR'q0_  
        '************************************************************************* 9Zmq7a E  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ed{sC[j=  
        GetConic eID, entity, curv, conic +F%tBUY{<  
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        SetConic eID, entity, 1/Rant, CCant /d/]#T[Z9  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant F~hH>BH9  
    .TDg`O24c,  
        '************************************************************************* VR%*8=  
        'Radius and conic constant of posterior lens ykH@kv Qt  
        '************************************************************************* xP;>p| M  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) FFe{=H,=  
        GetConic eID, entity, curv, conic Xy`'h5  
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        SetConic eID, entity, 1/Rpost, CCpost rhX?\_7o  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost :7JP(j2  
    PfB9 .f{  
        '************************************************************************* 94]i|2qj*  
        'Lens thickness (Position of posterior lens surface) 5*Qzw[[=  
        '************************************************************************* ts("(zI1E  
    (ip3{d{CT]  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,U+>Q!$`\^  
    U!K#g_}  
        ' Delete any z-shift(s) ( z F_<  
        count = 0 g!r) yzK  
        While GetOperationCount(eID)>count ?^^TR/  
            GetOperation eID, count, op CC'N"Xb  
            If op.Type="ShiftZ" Then <b\8<mTr  
                DeleteOperation eID,count yu > ;m.e_  
                count=count-1 Ly R<cd$W  
            End If 1mR@Bh  
            count=count+1 -V[!qI  
        Wend p,uM)LD  
    #XqiXM~^R  
        'Set new z-shift O*x~a;?G  
        op.Type = "ShiftZ" }odjaM}5Nc  
        op.val1 = tlens Fg'{K%t4  
        op.parent = parID +"JWsD(C(  
        AddOperation eID, op Z!jJ93A"  
        Print "Set lens thickness = " & tlens 'z)cieFKP  
    <X5ge>.  
        '************************************************************************* G `B=:s]  
        'Lens index of refraction L|1~'Fz#w  
        '************************************************************************* -7o-d-d F  
        eID = FindMaterial( "Lens" ) rSm#/)4A  
        GetModelMaterial eID, mat t("koA=.  
    \5=4!Ez  
        mat.Nd = nlens 'WBhW5@  
        SetModelMaterial eID, mat (?lT @RY/  
        Print "Set lens index of refraction = " & nlens Jw^my4  
    ,JTyOBB<I  
        '************************************************************************* FL&Y/5  
        'Pupil diameter 8]O#L}"  
        '************************************************************************* #e[r0f?U  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7 s2*VKr  
    _F^NX%  
        'Adjust pupil diameter (trimming volume inner hole) 5lM 3In@  
    jHA(mU)b  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O'.{6H;t  
    H`Zg-j`  
        ' Adjust pupil location to just in front of the lens >?G!>kw  
        parID = FindFullName( "Geometry.Arizona Eye" ) No+BS%F5  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) g2rH"3sC  
        count = 0 qLKL*m  
        While GetOperationCount(eID)>count 3O _O5  
            GetOperation eID, count, op P=9UK`n  
            If op.Type="ShiftZ" Then YB^m!A),I[  
                DeleteOperation eID,count FP0GE  
                count=count-1 /'_Yct=  
            End If Gc5mR9pV   
            count=count+1 &NbSG+t  
        Wend |<y1<O>F  
        op.Type = "ShiftZ" /Bk`3~]E>  
        op.val1 = taq-0.01 2 '$nz  
        op.parent = parID k)8*d{*  
        AddOperation eID, op 77 Z:!J|  
    IF<T{/MA  
        Print "Set pupil diameter = " & pupilDiam WU.eeiX  
    [;'$y:L=g  
        'Update AZ Eye subassembly Description YG*}F|1  
        eID = FindFullName( "Geometry.Arizona Eye" ) RQ#9[6w!v  
        GetEntity eID, entity -7J~^m2x  
        entity.Description = "Accommodation = " & A & "D" D$w?  
        SetEntity eID, entity 2Qc_TgWF  
    )oM% N  
        Update km`";gUp>  
        Print "DONE!" at2)%V)  
         ]XL=S|tIq  
    End Sub F< dhG>E9  
    ?#nk}=;g8  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: LA(/UA3Izd  
    - &)  
    Accommodation = 4 Diopters "avG#rsH  
    Pupil Diameter = 4 mm ') 2LP;(  
    Set aqueous humor thickness = 2.81 89P7iSV#*  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 /R6\_oM  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ygK,t*T20  
    Set lens thickness = 3.927 xf|C{XV@H  
    Set lens index of refraction = 1.42672 %/!f^PIwX  
    Set pupil diameter = 4 "{~^EQq,  
    DONE! bhfKhXh8  
    8k.#4}fP  
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    QQ:2987619807 w7\ \m9  
     
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