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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 2s}G6'xE]P  
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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。 9U3.=J  
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    模型 R0K{wY58  
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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。 j|{ n?  
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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. PJ,G_+b!  
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    光源 m= %KaRI  
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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。 gUYTVp Vf  
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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。 :_Iz( 2hV  
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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。 9%riB/vkrF  
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    图2. 字母F光源的设定方法光 E+ /XKF  
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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 Jgy6!qUn_  
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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。 m8INgzVTC  
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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。 [ Scao $  
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    图5. 视网膜重点采样规格设定
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    脚本 h7S; 4]  
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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: ;CuL1N#I  
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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。 a(uQGyr[k1  
    余下的脚本计算与屈光度有关的所有参数。 9l,8:%X_  
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    分析 oWggh3eXk  
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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。 BWr!K5w>i  
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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 >b~Q%{1  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. ]SN5 &S  
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    Dim entity As T_ENTITY 1y eD-M"w  
    Dim op As T_OPERATION 5G z~,_  
    Dim mat As T_MODELMATERIAL !Wy&+H*0  
    Dim A As Double w)h"?'m~  
    Dim pupilDiam As Double K k^!P*#  
    Dim eID As Long 3Qp6$m  
    Dim parID As Long G$~hAZ  
    Dim count As Integer GT3}'`f B  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double tq*{Hil>P`  
    Dim tlens As Double, nlens As Double i6i;{\tc  
    Dim curv As Double, conic As Double R5 EC/@  
    Dim ok As Long [p )2!]y  
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    Sub Main :]* =f].  
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        '用户输入对话框 s yb$%  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]ij:>O@{$  
            TextBox 220,21,40,21,.TextBox1 'default: 0 Eb8z`@p  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |+=ctpx9&  
            OKButton 40,91,90,21 (unJwh{7Q  
            CancelButton 190,91,90,21 avqJ[R  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 4Cvo^k/I  
            TextBox 220,49,40,21,.TextBox2 'default: 4 W\e!rq  
        End Dialog @VsK7Eo  
        Dim dlg As UserDialog 0b2;  
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        ok = Dialog (dlg) " j:15m5  
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        If ok=0 Then    'cancel button was pressed /!y3ZzL  
            Print "Execution cancelled." 1z3I^gI*i  
            End NE Z ]%  
        End If ]O~/k~f  
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        'Assign accommodation and pupil diameter & use defaults if field left empty y|WOw(#  
        If dlg.TextBox1 = "" Then ,UD5>Ai  
            A = 0           'Default accommodation ~>}7+p ?;  
        Else WW~QK2o-@  
            A = CDbl(dlg.TextBox1) ` $[`C/h  
        End If ML X: S?  
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        If dlg.TextBox2 = "" Then b*< *,Ds/G  
            pupilDiam = 4   'Default pupil diameter lpefOnO[  
        Else hPUYq7B  
            pupilDiam = CDbl(dlg.TextBox2) ,q Bu5t  
        End If J-Fqw-<aFJ  
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        Print " " xCm`g {  
        Print "Accommodation = " & A & " Diopters" uC1v^!D  
        Print "Pupil Diameter = " & pupilDiam & " mm" e#4 iue7U  
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        ' Calculate new parameters with accommodation 1;+(HB  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness {>#4{D00  
    ;[-y>qU0  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens jyjK~ !0  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens !q*]_1  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens /?:]f  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens Yc V*3`  
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        tlens = 3.767 + 0.04*A                  'Lens thickness @nF#\  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 9{{CNy p  
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        'Adjust parameters to account for accommodation 4_?*@L1  
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        '************************************************************************* _l.kbfp@  
        'Aqueous thickness (Position of Lens) 'I)E.DoF  
        '************************************************************************* e@{8G^o>D  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5nG$6Hw  
        GetCustomElement eID, entity C)Hb=  
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        parID = FindFullName( "Geometry.Arizona Eye" ) XZ&q5]PJI  
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        ' Delete any shift(s) in z }^B=f_Ag  
        count = 0 xBMhk9b^0  
        While GetOperationCount(eID)>count M7n|Z{?(  
            GetOperation eID, count, op :+|os"  
            If op.Type="ShiftZ" Then <rFY$ ?x  
                DeleteOperation eID,count _p=O*$b.  
                count=count-1 uCpk1d  
            End If Z(-@8=0  
            count=count+1 [z`m`9Aq  
        Wend m.N/g,  
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        'Set new shift in [.`#N1-@M  
        op.Type = "ShiftZ" Y>[u(q&09O  
        op.val1 = taq AW:WDNQh8n  
        op.parent = parID {sL(PS.z  
        AddOperation eID, op 9l :Bum)9  
        Print "Set aqueous humor thickness = " & taq-0.55 l %{$CmG\  
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        '************************************************************************* efF>kcIC  
        'Radius and conic constant of anterior lens ?yt"  
        '************************************************************************* KBo/GBD]|  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) h $}&N  
        GetConic eID, entity, curv, conic C/Dc1sj  
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        SetConic eID, entity, 1/Rant, CCant n/5)}( }K  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !jxz2Q  
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        '************************************************************************* 9L'R;H?L  
        'Radius and conic constant of posterior lens JY tM1d  
        '************************************************************************* +9mnxU>  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?5!>k^q  
        GetConic eID, entity, curv, conic Ue <Y ~A  
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        SetConic eID, entity, 1/Rpost, CCpost IU`&h2KZ.  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost agFWye  
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        '************************************************************************* tc'` 4O]c8  
        'Lens thickness (Position of posterior lens surface) xA9{o+  
        '************************************************************************* p}NIZ)]$  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .^S#h (A  
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        ' Delete any z-shift(s) Y&k6Xhuao  
        count = 0 <tbsQ3  
        While GetOperationCount(eID)>count t F<|Eja *  
            GetOperation eID, count, op .)>DFGb>H  
            If op.Type="ShiftZ" Then l1\/ `  
                DeleteOperation eID,count dkC[Jt  
                count=count-1 ~',<7eW  
            End If }w&+ H28.#  
            count=count+1 u"\HBbBx  
        Wend GyOo$FW  
    =M'y& iz-  
        'Set new z-shift lk6*?EJ  
        op.Type = "ShiftZ" HUtuUX  
        op.val1 = tlens }F1|& A  
        op.parent = parID ]3C&l+m$ot  
        AddOperation eID, op ~/6m|k  
        Print "Set lens thickness = " & tlens k 4+F  
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        '************************************************************************* !'No5  
        'Lens index of refraction uJ4RjLM`  
        '************************************************************************* R)"Y 40nW  
        eID = FindMaterial( "Lens" ) A`4j=OF\  
        GetModelMaterial eID, mat Z;aQ/ n[`  
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        mat.Nd = nlens c_]$UM[7L  
        SetModelMaterial eID, mat ^<R*7mB*  
        Print "Set lens index of refraction = " & nlens $Blo`'  
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        '************************************************************************* Kv[,!P"Y  
        'Pupil diameter `7P4O   
        '************************************************************************* @O<kjR<b  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) sY=fS2b#)  
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        'Adjust pupil diameter (trimming volume inner hole) 2yhtJ9/  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Y%b 5{1  
    ` RUr/|S  
        ' Adjust pupil location to just in front of the lens "PBUyh-Z  
        parID = FindFullName( "Geometry.Arizona Eye" ) 93yJAao9  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) nKJJ7'$'3  
        count = 0 9N|O*h1;u  
        While GetOperationCount(eID)>count xQC.ap  
            GetOperation eID, count, op u2^ oXl  
            If op.Type="ShiftZ" Then (u-i{<   
                DeleteOperation eID,count m& DDz+g  
                count=count-1 Pq~"`-h7:  
            End If <L@0w8i`  
            count=count+1 >A|6 kzC  
        Wend DNdwMSwp  
        op.Type = "ShiftZ" 9}Tf9>qP>M  
        op.val1 = taq-0.01 W$@q ~/E  
        op.parent = parID 2>#Pt^R:C  
        AddOperation eID, op |n3PznV  
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        Print "Set pupil diameter = " & pupilDiam n *%<!\gJ  
    !}^c.<38Q  
        'Update AZ Eye subassembly Description }`4o+  
        eID = FindFullName( "Geometry.Arizona Eye" ) %-|Po:6  
        GetEntity eID, entity 0 ]U ;5  
        entity.Description = "Accommodation = " & A & "D" Xvm.Un< N  
        SetEntity eID, entity A"k6n\!n;  
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        Update Deq~"  
        Print "DONE!" {j[[E/8N!y  
         /] ce?PPC  
    End Sub Qv,|*bf  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: +/7UM x1  
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    Accommodation = 4 Diopters 9ulJZ\cQ  
    Pupil Diameter = 4 mm =L9sb!  
    Set aqueous humor thickness = 2.81 ;Aiuy{<  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 &h-d\gMJ  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ~Rk%M$E9  
    Set lens thickness = 3.927 a_m P$4T  
    Set lens index of refraction = 1.42672 F'W{\4  
    Set pupil diameter = 4 9k ]$MR  
    DONE! qr$=oCqa  
     
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