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    [技术]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: 2021-10-22
    简介 3leg,q d  
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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。 SiojOH  
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    模型 M; zRf3S  
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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。 3D\.S 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. lGG1d  
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    光源 "+nURdicO  
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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。 4)2*|w  
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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,b~cL?  
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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。 +6<MK;  
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    图2. 字母F光源的设定方法光 [$[t.m  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 +*0THol-  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 @T/C<-/:  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 xDADJ>u2K  
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    图5. 视网膜重点采样规格设定
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    脚本 [&3"kb  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: sef!hS06  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 _IlL'c5  
    余下的脚本计算与屈光度有关的所有参数。 LiV]!*9$KG  
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    分析 `SW`d<+L  
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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。 =?*V3e3{  
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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 :cynZab  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. r1?LKoJOn  
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    Dim entity As T_ENTITY 7H >dv'  
    Dim op As T_OPERATION pu>LC6m3a  
    Dim mat As T_MODELMATERIAL 0e7v ?UT  
    Dim A As Double sJM}p5V  
    Dim pupilDiam As Double T@vVff  
    Dim eID As Long JK_$A;Q  
    Dim parID As Long g:,4Kd|  
    Dim count As Integer ]iNSa{G  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double R>0ta  Q  
    Dim tlens As Double, nlens As Double +M.|D,wg2  
    Dim curv As Double, conic As Double dO8Z {wfs  
    Dim ok As Long X*Q7Yu  
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    Sub Main u8,T>VNVw  
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        '用户输入对话框 }oU&J81  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 n&V(c&C  
            TextBox 220,21,40,21,.TextBox1 'default: 0 \@F{Q-  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 rvfl~<G*  
            OKButton 40,91,90,21 fsmH];"GD  
            CancelButton 190,91,90,21 jyT(LDsS  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1)Ag|4  
            TextBox 220,49,40,21,.TextBox2 'default: 4 LnyA5T  
        End Dialog ,`Mlo  
        Dim dlg As UserDialog )eG&"3kFe!  
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        ok = Dialog (dlg) ypifXO;m7  
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        If ok=0 Then    'cancel button was pressed D@ lJ^+  
            Print "Execution cancelled." G?V3lQI1n  
            End .ev]tu2N  
        End If d)AkA\neWo  
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        'Assign accommodation and pupil diameter & use defaults if field left empty "bO]  
        If dlg.TextBox1 = "" Then 50Jr(OeU<  
            A = 0           'Default accommodation o. _^  
        Else g!QumRF  
            A = CDbl(dlg.TextBox1) He@= bLLa  
        End If a3)#tt=rA  
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        If dlg.TextBox2 = "" Then l00D|W_ 9  
            pupilDiam = 4   'Default pupil diameter L7b{H2 2  
        Else x SUR<  
            pupilDiam = CDbl(dlg.TextBox2) />oU}m"k  
        End If Af%?WZlOq  
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        Print " " [/kO >  
        Print "Accommodation = " & A & " Diopters" V:+bq`  
        Print "Pupil Diameter = " & pupilDiam & " mm" S`^W#,rj  
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        ' Calculate new parameters with accommodation f_\-y&)+*  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness )}aF=%  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens :tgTYIF  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens s [!SG`&  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 93dotuF  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens -jy"?]ve.  
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        tlens = 3.767 + 0.04*A                  'Lens thickness M}<=~/k`j  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction -a[{cu{  
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        'Adjust parameters to account for accommodation *l^'v9  
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        '************************************************************************* 3{z|301<m  
        'Aqueous thickness (Position of Lens) ?uN(" I  
        '************************************************************************* ..:V3]-D  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) i<?4iwX%i*  
        GetCustomElement eID, entity 9|`@czw  
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        parID = FindFullName( "Geometry.Arizona Eye" ) gK(4<PO'  
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        ' Delete any shift(s) in z iQF}x&a<  
        count = 0 8iNAs#s  
        While GetOperationCount(eID)>count bM-Rj1#Lo  
            GetOperation eID, count, op /z5lxS@#  
            If op.Type="ShiftZ" Then abnd U,s  
                DeleteOperation eID,count !;gke,fB  
                count=count-1 *PEuaRDN  
            End If Q(6(Scp{  
            count=count+1 t["Df;"O  
        Wend j1 <1D@UO  
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        'Set new shift in \sd"iMEi  
        op.Type = "ShiftZ" q@9 i3*q;  
        op.val1 = taq `[CJtd2\  
        op.parent = parID p#d UL9  
        AddOperation eID, op <T[N.mB  
        Print "Set aqueous humor thickness = " & taq-0.55 JWL J<z  
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        '************************************************************************* @45H8|:k  
        'Radius and conic constant of anterior lens ea0tx3'  
        '************************************************************************* njMy&$6a##  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H\mVK!](D  
        GetConic eID, entity, curv, conic D 8Rmxq!  
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        SetConic eID, entity, 1/Rant, CCant E+zn\v  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :$aW@?zAY  
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        '************************************************************************* |sa7Y_  
        'Radius and conic constant of posterior lens HW72 6K*  
        '************************************************************************* PEEY;x  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) AFTed?(  
        GetConic eID, entity, curv, conic >` QX xTn  
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        SetConic eID, entity, 1/Rpost, CCpost PAV2w_X~  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost r5!M;hU1j  
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        '************************************************************************* B5HdC%8/}  
        'Lens thickness (Position of posterior lens surface) !h>$bm  
        '************************************************************************* 8$UZL  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) tcEf ~|3  
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        ' Delete any z-shift(s) ddDJXk)!0  
        count = 0 Az9J{)  
        While GetOperationCount(eID)>count ;}~Bv<#  
            GetOperation eID, count, op OIty ]c  
            If op.Type="ShiftZ" Then 8'"/gC{  
                DeleteOperation eID,count sFCs_u1tNN  
                count=count-1 xKST-:c+  
            End If Uv`v|S:+2  
            count=count+1 {mnSTL`  
        Wend ysJhP .  
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        'Set new z-shift }|"*"kxi!  
        op.Type = "ShiftZ" rqe_zyc&  
        op.val1 = tlens G>S1Ld'MV  
        op.parent = parID |uwteG5?$s  
        AddOperation eID, op n3g WM C  
        Print "Set lens thickness = " & tlens NvHy'  
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        '************************************************************************* {C0^D*U:  
        'Lens index of refraction u|>U`[Zpj  
        '************************************************************************* ; 9&.QR(  
        eID = FindMaterial( "Lens" ) -sH.yAvC6  
        GetModelMaterial eID, mat 0*IY%=i  
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        mat.Nd = nlens ?Wz(f{Hm  
        SetModelMaterial eID, mat H&=4y) /.  
        Print "Set lens index of refraction = " & nlens `pAp[]SfQd  
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        '************************************************************************* us,,W(q  
        'Pupil diameter %%,hR'+|  
        '************************************************************************* pF*~)e  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \v P2B  
    $17 v,  
        'Adjust pupil diameter (trimming volume inner hole)  !QW 0  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }%ZG> LG5J  
    b:5%}  
        ' Adjust pupil location to just in front of the lens <_{4-Q>S3#  
        parID = FindFullName( "Geometry.Arizona Eye" ) JvWs/AG1  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *ez~~ Y  
        count = 0 M3;v3 }z<-  
        While GetOperationCount(eID)>count l)rvh#D  
            GetOperation eID, count, op q,,>:]f#  
            If op.Type="ShiftZ" Then - Zoo)  
                DeleteOperation eID,count Hs`#{W{.  
                count=count-1 ))69a  
            End If nh&J3b}B!  
            count=count+1 K-Dk2(x  
        Wend CbH T #  
        op.Type = "ShiftZ" %=mwOoMk0L  
        op.val1 = taq-0.01 MV;Y?%>  
        op.parent = parID -G<2R"Q#N  
        AddOperation eID, op sHPwW5j/o'  
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        Print "Set pupil diameter = " & pupilDiam voej ~z+  
    }!yD^:[ 5  
        'Update AZ Eye subassembly Description ;GgQ@s@  
        eID = FindFullName( "Geometry.Arizona Eye" ) Yx}"> ;\  
        GetEntity eID, entity #nf%ojh  
        entity.Description = "Accommodation = " & A & "D" mA] 84zO  
        SetEntity eID, entity >gZk 581/  
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        Update o +QzQ+ Z  
        Print "DONE!" 3VRZM@i  
         $6&GAJe  
    End Sub I bv_D$cT  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: C`th^dqBV  
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    Accommodation = 4 Diopters b6WC @j`*T  
    Pupil Diameter = 4 mm 2c>H(t h=  
    Set aqueous humor thickness = 2.81 "U5Ln2X{J  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 0q>NE <L  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 .t^UK#@#4  
    Set lens thickness = 3.927 v1X&p\[d  
    Set lens index of refraction = 1.42672 Xx y Bg!R  
    Set pupil diameter = 4 fdq^!MWTi  
    DONE! hDD~,/yVxs  
     
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