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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 a{{g<< H  
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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。 rj6#1kt  
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    模型 ew"v{=X  
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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。 IpP~Uz  
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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. rk)##)  
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    光源 Z!U)I-x&  
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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。 @:KJYm[  
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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。 4C FB"?n0  
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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。 :]J Ye*  
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    图2. 字母F光源的设定方法光 Y-7^o@y  
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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 Offu9`DiZ  
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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。 _cu:aktf2  
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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。 QcgfBsv96  
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    图5. 视网膜重点采样规格设定
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    脚本 F+@5C:<?  
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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: :H c0b=  
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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。 \|K;-pL  
    余下的脚本计算与屈光度有关的所有参数。 !H ~<  
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    分析 G#?Sfn O0  
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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。 s&NX@  
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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 &9Xhl''  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Z.M,NR  
    #y%!\1M/:A  
    Dim entity As T_ENTITY ~j<+k4I~  
    Dim op As T_OPERATION ezMI \r6  
    Dim mat As T_MODELMATERIAL IV)<5'v  
    Dim A As Double P><o,s"v  
    Dim pupilDiam As Double PTEHP   
    Dim eID As Long _vZ"4L+Iw+  
    Dim parID As Long W16,Alf:  
    Dim count As Integer LU9A#  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 'z$Q rFW  
    Dim tlens As Double, nlens As Double !=N"vD*  
    Dim curv As Double, conic As Double 39=1f6I1  
    Dim ok As Long 65Cg]Dt71  
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    Sub Main phgm0D7  
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        '用户输入对话框 ,%)6jYHRw  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 yfm^?G|sW  
            TextBox 220,21,40,21,.TextBox1 'default: 0 $5*WLG&AK  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 a|?4 )  
            OKButton 40,91,90,21 h}xeChw]  
            CancelButton 190,91,90,21 m o:D9  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 lg b?)=  
            TextBox 220,49,40,21,.TextBox2 'default: 4 d.P\fPSD  
        End Dialog Rb{U+/gq  
        Dim dlg As UserDialog O/<K!;(@?  
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        ok = Dialog (dlg) V#`fs|e;y  
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        If ok=0 Then    'cancel button was pressed #cCL.p"]  
            Print "Execution cancelled." Q_Gi]M9  
            End dX)GPC-D7  
        End If /;utcc  
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        'Assign accommodation and pupil diameter & use defaults if field left empty uxzze~_+C  
        If dlg.TextBox1 = "" Then E~_]Lfs)  
            A = 0           'Default accommodation 8f3vjK'  
        Else J52 o g4l  
            A = CDbl(dlg.TextBox1) sUU{fNC6|  
        End If lHhUC16>  
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        If dlg.TextBox2 = "" Then k0Uyf~p~  
            pupilDiam = 4   'Default pupil diameter )kkhJI*v  
        Else afb+GA!  
            pupilDiam = CDbl(dlg.TextBox2) Qu]z)";7  
        End If ,Bal  
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        Print " " F  3'9u#  
        Print "Accommodation = " & A & " Diopters" wV ^V]c?U  
        Print "Pupil Diameter = " & pupilDiam & " mm" zBe8,, e  
    Q J7L7S  
        ' Calculate new parameters with accommodation G3{=@Z1  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness |K|h+fgG6*  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens T9879[ZU\  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens [mPjP%{=@  
    14"J d\M8  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens ?|ZTaX6A  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens as>L[jyG/  
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        tlens = 3.767 + 0.04*A                  'Lens thickness b/Xbs0q  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction PfZ+PqS  
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        'Adjust parameters to account for accommodation xQp|;oW;z  
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        '************************************************************************* C|o`k9I#  
        'Aqueous thickness (Position of Lens) QQV~?iW{~  
        '************************************************************************* {4-[r#R<M  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) b@2J]Ay E*  
        GetCustomElement eID, entity A4]s~Ur  
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        parID = FindFullName( "Geometry.Arizona Eye" ) {je-I9%OK  
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        ' Delete any shift(s) in z &zuG81F6  
        count = 0 Kk{<@v)  
        While GetOperationCount(eID)>count V}zEK0n(6  
            GetOperation eID, count, op D2,z)O%VK  
            If op.Type="ShiftZ" Then I'@Ydt2  
                DeleteOperation eID,count jr`Ess  
                count=count-1 6HlePTf8  
            End If Usta0Ag  
            count=count+1 b?j< BvQ  
        Wend %bdjBa}  
    ?Sb8@S&J  
        'Set new shift in ? mhs$g>  
        op.Type = "ShiftZ" tu5*Qp\  
        op.val1 = taq m{7(PHpw  
        op.parent = parID bl'z<S, '  
        AddOperation eID, op 5A4&+rdU  
        Print "Set aqueous humor thickness = " & taq-0.55 Y9`5G%  
    "kA*Vc#  
        '************************************************************************* UDL RCS8i  
        'Radius and conic constant of anterior lens :Pv*, qHE  
        '************************************************************************* c-Pw]Ju  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \{EpduwZ  
        GetConic eID, entity, curv, conic "XT"|KF|D  
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        SetConic eID, entity, 1/Rant, CCant 5j-]EJb  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >B>CB3U  
    1NcCy! +  
        '************************************************************************* U. @*`Fg  
        'Radius and conic constant of posterior lens IO/4.m-aN#  
        '************************************************************************* @e'5E^  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) E(i[o?  
        GetConic eID, entity, curv, conic 0V!l,pg  
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        SetConic eID, entity, 1/Rpost, CCpost R9! Uo  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost hbc uK&  
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        '************************************************************************* yu;SH[{Wi  
        'Lens thickness (Position of posterior lens surface) G\a8B#hg  
        '************************************************************************* 2mq$H_  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) XB[<;*Iz  
    E{2Eoj;gq  
        ' Delete any z-shift(s) 1U,1)<z~u  
        count = 0 RO3oP1@B  
        While GetOperationCount(eID)>count (4%YHS8  
            GetOperation eID, count, op /o2P+Xr8"  
            If op.Type="ShiftZ" Then q}FVzahv  
                DeleteOperation eID,count OK{xuX8u  
                count=count-1 =GXu 5 8  
            End If +L=*:e\j  
            count=count+1 0W%@gs5d&  
        Wend u@3y&b  
    dCFlM&(i  
        'Set new z-shift $ F S_E  
        op.Type = "ShiftZ" Gx 72  
        op.val1 = tlens e9E\% p  
        op.parent = parID _aPh(qprc  
        AddOperation eID, op wI5Yn h  
        Print "Set lens thickness = " & tlens uZi.HG{<)  
    ;2m<CSv!D  
        '************************************************************************* 1+7GUSIb  
        'Lens index of refraction I_q~*/<h  
        '************************************************************************* $@i"un;  
        eID = FindMaterial( "Lens" ) 2:LHy[{5  
        GetModelMaterial eID, mat emW:C-/h/@  
    +B|7p9qy  
        mat.Nd = nlens _|''{kj(  
        SetModelMaterial eID, mat |D.O6?v@  
        Print "Set lens index of refraction = " & nlens Oi} T2I  
    7_# 1Ec|;  
        '************************************************************************* BtY%r7^o  
        'Pupil diameter tW;:-  
        '************************************************************************* **>/}.%?K  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #pHs@uvO  
    D.%B$Y;G  
        'Adjust pupil diameter (trimming volume inner hole) vEG'HOP  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" )R sM!}  
    c '\SfW<  
        ' Adjust pupil location to just in front of the lens 3u33a"nL8  
        parID = FindFullName( "Geometry.Arizona Eye" ) LG]3hz9^9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) z* <y5  
        count = 0 ?tg  y|  
        While GetOperationCount(eID)>count *{o UWt  
            GetOperation eID, count, op -]:G L>b  
            If op.Type="ShiftZ" Then 6/ `.(fL1  
                DeleteOperation eID,count KL'zXkS  
                count=count-1 ]h9!ei [  
            End If X _$a,"'~)  
            count=count+1 eb|i 3.  
        Wend w-$[>R[hw  
        op.Type = "ShiftZ" #;# 3%?  
        op.val1 = taq-0.01 \ /|)HElKR  
        op.parent = parID +!0eu>~_&  
        AddOperation eID, op s4H2/EC  
    j 6ut}Uq  
        Print "Set pupil diameter = " & pupilDiam l =IeJh  
    )$Z(|M4  
        'Update AZ Eye subassembly Description rbqo"g`  
        eID = FindFullName( "Geometry.Arizona Eye" ) 4l8BQz}sb  
        GetEntity eID, entity Vc3mp;6"  
        entity.Description = "Accommodation = " & A & "D" y/c%+ Ca/  
        SetEntity eID, entity F&;   
    ;o<m}bGaT  
        Update W >(vYU  
        Print "DONE!" ->lu#; A5  
         fYrGpW( `  
    End Sub vf~`eT  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: SNT5Amz!  
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    Accommodation = 4 Diopters YH:8<O,{-  
    Pupil Diameter = 4 mm k6\^p;!Y  
    Set aqueous humor thickness = 2.81 ]|:uU  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 =sOo:s  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 @oe\"vz  
    Set lens thickness = 3.927 f*xpE`&  
    Set lens index of refraction = 1.42672 (!?K7<Jv  
    Set pupil diameter = 4 >P. 'CU  
    DONE! dv N<5~  
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    QQ:2987619807 sP$Ks#/  
     
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