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    [分享]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: 2020-12-09
    简介 Jf<+VJ>t  
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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。 B(<;]  
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    模型 (+' *_   
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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。 XWQp-H.  
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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. HtWuZq; w  
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    光源 <a@'Pcsk  
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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。 :Gyv%> .  
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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。 ,(0q  
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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。 k(>hboR5n  
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    图2. 字母F光源的设定方法光 j(Tt-a("z  
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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 4zyy   
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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。 I4%&/~!  
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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。 T7eo_Mn  
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    图5. 视网膜重点采样规格设定
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    脚本 Vw7NLTE}`  
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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: (dO, +~  
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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。 IZ /Md@C  
    余下的脚本计算与屈光度有关的所有参数。 "T4Z#t  
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    分析 '\ec ,&4Z  
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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。 W2Y%PD9a  
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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 J[fjl 6p  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. Yv!%Is  
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    Dim entity As T_ENTITY mVGQyX  
    Dim op As T_OPERATION ^` N+mlh  
    Dim mat As T_MODELMATERIAL n m4+$GW   
    Dim A As Double D6!`p6r+  
    Dim pupilDiam As Double [4,=%ez  
    Dim eID As Long eaQ)r?M  
    Dim parID As Long @$ E&H`da  
    Dim count As Integer <_&H<]t%rI  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double  ajF-T=5  
    Dim tlens As Double, nlens As Double 3QSP](W-(  
    Dim curv As Double, conic As Double |}paa  
    Dim ok As Long 9W$FX  
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    Sub Main l v]TE"  
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        '用户输入对话框 `mV&[`NZ  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 R.Xh&@f`  
            TextBox 220,21,40,21,.TextBox1 'default: 0 N( 0G!sTI  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 9J% ~?k  
            OKButton 40,91,90,21 Q:$<`K4)  
            CancelButton 190,91,90,21 wowv>!N!X-  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #)`N  
            TextBox 220,49,40,21,.TextBox2 'default: 4 )F;`07  
        End Dialog +ZeHZjd  
        Dim dlg As UserDialog H)S&sx#q]  
    I, 9!["^|  
        ok = Dialog (dlg) 8"R; axeD  
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        If ok=0 Then    'cancel button was pressed +VSJve |  
            Print "Execution cancelled." R%iyNK,  
            End &VtTUy}  
        End If xwG=&+66  
    ]Ga}+^  
        'Assign accommodation and pupil diameter & use defaults if field left empty gZ6]\l]J{  
        If dlg.TextBox1 = "" Then 5I9~OJ>  
            A = 0           'Default accommodation v5U\E`)s  
        Else +$M%"=tk  
            A = CDbl(dlg.TextBox1) VA*~R S  
        End If [80jG+6  
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        If dlg.TextBox2 = "" Then WT$m*I  
            pupilDiam = 4   'Default pupil diameter K@lZuQ.1  
        Else =E@wi?  
            pupilDiam = CDbl(dlg.TextBox2) VR/7CI4=  
        End If lquY_lrri  
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        Print " " C YA#:  
        Print "Accommodation = " & A & " Diopters" ;Hr FPx&d1  
        Print "Pupil Diameter = " & pupilDiam & " mm" 46c7f*1l  
    B,?Fjot#m  
        ' Calculate new parameters with accommodation jH26-b<  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ^LgaMmz  
    "TB4w2?=  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens "/6<k0.D&  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ?eD,\G  
    ^b=]=w  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens w8E6)wF=7  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 6v7H?4  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 1jU<]09.  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction tpw0j CVu  
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        'Adjust parameters to account for accommodation kgfOH.P  
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        '************************************************************************* #|'&%n|Z  
        'Aqueous thickness (Position of Lens) b'Cy!dr  
        '************************************************************************* Wlm%W>%  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) PGZ.\i  
        GetCustomElement eID, entity !{5jP|vo  
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        parID = FindFullName( "Geometry.Arizona Eye" ) fRKO> /OT  
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        ' Delete any shift(s) in z IgH[xwzy[  
        count = 0 Rt!G:hy7  
        While GetOperationCount(eID)>count lN94 b3_W  
            GetOperation eID, count, op b Z c&uq_  
            If op.Type="ShiftZ" Then weCRhA  
                DeleteOperation eID,count .-[uQtyWW  
                count=count-1 nnLE dJ}n  
            End If Hm2}xnY  
            count=count+1 Rz% Px:M  
        Wend {?*3Ou  
    oL0Q%_9hW  
        'Set new shift in 5Gm,lNQAv  
        op.Type = "ShiftZ" pjr,X+6o  
        op.val1 = taq UEmNT9V  
        op.parent = parID mlCw(i,  
        AddOperation eID, op SpbOvY=>  
        Print "Set aqueous humor thickness = " & taq-0.55 cQDn_Sjhi  
    t6p}LNm(V  
        '************************************************************************* U1(<1eTyu  
        'Radius and conic constant of anterior lens hY=#_r8  
        '************************************************************************* -DDH)VO  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9u<4Q_I`  
        GetConic eID, entity, curv, conic %0 (,f  
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        SetConic eID, entity, 1/Rant, CCant >QRpRHtb  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :@KU_U)\  
    w6>'n }  
        '************************************************************************* \[&`PD  
        'Radius and conic constant of posterior lens =1 g  
        '************************************************************************* q,-bw2   
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) g2%&/zq/  
        GetConic eID, entity, curv, conic $(v1q[ig  
    `btw*{.[  
        SetConic eID, entity, 1/Rpost, CCpost 7M#2Tze}  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [G:wPp.y  
    K~**. NF-n  
        '************************************************************************* ?,e7v.b  
        'Lens thickness (Position of posterior lens surface) *IWO ,!  
        '************************************************************************* 01Bs7@"+  
    }8cL+JJU  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )@)wcf!b  
    6L Z(bP'd;  
        ' Delete any z-shift(s) 'J~{8w,.  
        count = 0 \y?Vou/  
        While GetOperationCount(eID)>count 5|YpkY  
            GetOperation eID, count, op Dg~r%F  
            If op.Type="ShiftZ" Then J$6tCFD  
                DeleteOperation eID,count g2L^cP>2  
                count=count-1 \/,54c2  
            End If FyYD7E  
            count=count+1 QXx<Hi^ /  
        Wend %g7 !4  
    G]5m@;~l5  
        'Set new z-shift Q#NXJvI  
        op.Type = "ShiftZ" W6f?/{Oo8  
        op.val1 = tlens x,YC/J  
        op.parent = parID &UH .e  
        AddOperation eID, op u '-4hU  
        Print "Set lens thickness = " & tlens =*0<.Lo':  
    [ L% -lJ  
        '************************************************************************* `Q?rQ3A}  
        'Lens index of refraction -U;2 b_  
        '************************************************************************* D?~`L[}I!}  
        eID = FindMaterial( "Lens" ) BeZr5I"`}  
        GetModelMaterial eID, mat <i34;`)b  
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        mat.Nd = nlens UD1R _bL}  
        SetModelMaterial eID, mat =$3]%b}  
        Print "Set lens index of refraction = " & nlens |x*~PXb  
    -g8G47piX:  
        '************************************************************************* +O P8U]~  
        'Pupil diameter b|| c^f  
        '************************************************************************* 'Ba Ba=  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e"HA.t[A  
    ;w ";s$  
        'Adjust pupil diameter (trimming volume inner hole) [#$:X+lw  
    F9(*MP|  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W0%cJ8~  
    $ )q?z.U  
        ' Adjust pupil location to just in front of the lens V+My]9ki  
        parID = FindFullName( "Geometry.Arizona Eye" ) MKIX(r( |  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dH"wYMNL  
        count = 0 mX))*e4k  
        While GetOperationCount(eID)>count _bB:1l?V  
            GetOperation eID, count, op qP? V{N  
            If op.Type="ShiftZ" Then q_PxmPE@3v  
                DeleteOperation eID,count \fG?j@Qx  
                count=count-1 3>X]`Oj7y  
            End If SYkLia(Ty  
            count=count+1 tA'O66.  
        Wend Y?G9d6]Lk6  
        op.Type = "ShiftZ" Y?Ph%i2E  
        op.val1 = taq-0.01 >t_5( K4  
        op.parent = parID ?B> { rj  
        AddOperation eID, op  ,r\  
    x=(y  
        Print "Set pupil diameter = " & pupilDiam nojJGeW%  
    1fwjW0t  
        'Update AZ Eye subassembly Description G3O`r8oZcJ  
        eID = FindFullName( "Geometry.Arizona Eye" ) <u>l#weG,  
        GetEntity eID, entity e7X#C)  
        entity.Description = "Accommodation = " & A & "D" Cx(|ZD^  
        SetEntity eID, entity 82ay("ZY  
    ( )K,~  
        Update 67Z@Hg  
        Print "DONE!" ;"/[gFD5u  
         7,0^|P  
    End Sub &&Ruy(&]I  
    )`;Q]?D   
    如果屈光度是4,光瞳直径是4,则会输出如下数据: wyF' B  
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    Accommodation = 4 Diopters 0X6|pC~  
    Pupil Diameter = 4 mm D; xRgHn  
    Set aqueous humor thickness = 2.81 WE;QEA/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 xZ'-G6O "~  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 G Y??q8  
    Set lens thickness = 3.927 .W4P/P w'  
    Set lens index of refraction = 1.42672 !EO*xxQ  
    Set pupil diameter = 4 ?U+^ctwv7  
    DONE! FvX<(8'#a  
    &/XRiK1"0  
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    QQ:2987619807 i=Nq`BoQf  
     
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