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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 23\RJpKb  
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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。 / |r'  
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    模型 d3Mva,bw<  
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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。 */qtzt  
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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. }yn0IWVa  
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    光源 =T?}Nt  
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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。 \Q?ip&R  
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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。 Vv.r8IGYm  
    1/+C5Bp*  
    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。 "I6P=]|b  
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    图2. 字母F光源的设定方法光 tC?=E#3 V  
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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 ~/pzxo$  
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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。 Qj{8?lew  
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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。 $,=6[T!z+e  
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    图5. 视网膜重点采样规格设定
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    脚本 GE;e]Jkjn  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: <P[T!gST  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 "I?Am&>'  
    余下的脚本计算与屈光度有关的所有参数。 n9w9JXp;!  
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    分析 6oaazB^L  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ZRxZume<f  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 ^'CPM6J  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. >^q7c8]~g  
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    Dim entity As T_ENTITY ~CB[9D=  
    Dim op As T_OPERATION F>tQn4  
    Dim mat As T_MODELMATERIAL 6R-&-4  
    Dim A As Double fbyQjvURnC  
    Dim pupilDiam As Double e0@ 6Pd  
    Dim eID As Long 'E/*d2CDM(  
    Dim parID As Long 6:GTD$Uz.  
    Dim count As Integer UDhG :  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double B]m@:|Q  
    Dim tlens As Double, nlens As Double :q8b;*:  
    Dim curv As Double, conic As Double B\J^=W+`  
    Dim ok As Long 3G.5724,  
    S)QAXjH  
    Sub Main S6}@I ,Q  
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        '用户输入对话框 ]{"Br$  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 F:*W5xX  
            TextBox 220,21,40,21,.TextBox1 'default: 0 ZX ?yL>4  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }X x(^Zh  
            OKButton 40,91,90,21 56^ +;^f^`  
            CancelButton 190,91,90,21 ;^*Unyt[4]  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 /9o!*K  
            TextBox 220,49,40,21,.TextBox2 'default: 4 FX9F"42@  
        End Dialog CkJCi  
        Dim dlg As UserDialog +!QJTn"3  
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        ok = Dialog (dlg) lb'GXd %  
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        If ok=0 Then    'cancel button was pressed 3qY K_M^[  
            Print "Execution cancelled." %6AW7q t  
            End f;/QJ  
        End If h;=6VgXZ  
    /R>nr"  
        'Assign accommodation and pupil diameter & use defaults if field left empty c/B'jPt  
        If dlg.TextBox1 = "" Then j p $Z]  
            A = 0           'Default accommodation :2njp%  
        Else qwIa?!8 o  
            A = CDbl(dlg.TextBox1) gp$Ucfu'  
        End If XU+<?%u}z  
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        If dlg.TextBox2 = "" Then PW3GL3+  
            pupilDiam = 4   'Default pupil diameter Lh.`C7]  
        Else dt~YW  
            pupilDiam = CDbl(dlg.TextBox2) nXjP x@  
        End If kId n6 Wx,  
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        Print " " -P&6L\V  
        Print "Accommodation = " & A & " Diopters" mhW-J6u*  
        Print "Pupil Diameter = " & pupilDiam & " mm" ##Z_QB(;  
    7' S@3   
        ' Calculate new parameters with accommodation F)z;Z6{t4  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness ,39aF*r1Q  
    _fZZ_0\Q  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens =]-j;#'&  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens BTM), w2  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens q>w)"Dd  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens -hkQ2[Ew#  
    {EdH$l>94  
        tlens = 3.767 + 0.04*A                  'Lens thickness # O4gg  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction ID.n1i3  
    ?<6CFH]  
        'Adjust parameters to account for accommodation ~G27;Npy  
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        '************************************************************************* 0flg=U9  
        'Aqueous thickness (Position of Lens) 'R&uD~Q  
        '************************************************************************* ,;M4jc {  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) xQw7 :18wQ  
        GetCustomElement eID, entity O@?k T;B  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 8ssJ<LP  
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        ' Delete any shift(s) in z 31EyDU,W  
        count = 0 P>9aI/d9  
        While GetOperationCount(eID)>count [!%![E  
            GetOperation eID, count, op S$2b>#@UJ  
            If op.Type="ShiftZ" Then [frq  'c  
                DeleteOperation eID,count (%O@r!{  
                count=count-1 *Z_C4Tj  
            End If KFa_  
            count=count+1 !?^b[ nC%  
        Wend lC=~$c:  
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        'Set new shift in y^7}oH _  
        op.Type = "ShiftZ" <L&m4O#|  
        op.val1 = taq %r4 q8-  
        op.parent = parID Tr^nkD{  
        AddOperation eID, op P,sjo u^  
        Print "Set aqueous humor thickness = " & taq-0.55 4nAa`(62  
    v:+ ~9w+  
        '************************************************************************* Z@Ae$ '9H  
        'Radius and conic constant of anterior lens t'm;:J1  
        '************************************************************************* ^[15&T5  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) nNXgW  
        GetConic eID, entity, curv, conic oA1a/[#  
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        SetConic eID, entity, 1/Rant, CCant vky.^  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ." $  
    ':R,53tjl  
        '************************************************************************* JJRK7\~$  
        'Radius and conic constant of posterior lens f{0F|w< gf  
        '************************************************************************* .5!t:FPOv  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) t\$U`V)  
        GetConic eID, entity, curv, conic "`asF g  
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        SetConic eID, entity, 1/Rpost, CCpost /t-fjB{=G  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost I5h[%T  
    0EJ(.8hwm  
        '************************************************************************* :rP#I#,7w  
        'Lens thickness (Position of posterior lens surface) Zf5`XslA.  
        '************************************************************************* hVUP4 A  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) BPr ^D0P  
    c)0amM  
        ' Delete any z-shift(s) <LRey%{q  
        count = 0 P9T5L<5  
        While GetOperationCount(eID)>count S>.F_Jl  
            GetOperation eID, count, op ,C {*s$  
            If op.Type="ShiftZ" Then %7g:}O$  
                DeleteOperation eID,count >c-fI$]  
                count=count-1 l]<L [Y,E-  
            End If i_][P TH  
            count=count+1 {647|j;e  
        Wend }h 3K@R   
    }K hjlPhx  
        'Set new z-shift N N|u_  
        op.Type = "ShiftZ" =+w*gDr  
        op.val1 = tlens 21RP=0Q:  
        op.parent = parID %& _V0R\k  
        AddOperation eID, op T;L>P[hNn  
        Print "Set lens thickness = " & tlens Vb qto|X@  
    hp"L8w  
        '************************************************************************* *-s,. F+c  
        'Lens index of refraction Nm):9YQ/  
        '************************************************************************* [31p&FxM  
        eID = FindMaterial( "Lens" ) ) _ I,KEe  
        GetModelMaterial eID, mat e?bYjJ q  
    s( <uo{  
        mat.Nd = nlens LI)!4(WH  
        SetModelMaterial eID, mat w:' dhr':  
        Print "Set lens index of refraction = " & nlens %P;Q|v6/|  
    -*2Mf Mh  
        '************************************************************************* i@NqC;~;  
        'Pupil diameter m`6Yc:@E  
        '************************************************************************* !EQ@#qW/  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) L !4t[hhe=  
    a^5^gId5l!  
        'Adjust pupil diameter (trimming volume inner hole) 0b91y3R+  
    ^TB>.c@`*  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" PM":Vd/  
    L!_ZY  
        ' Adjust pupil location to just in front of the lens q %A?V _  
        parID = FindFullName( "Geometry.Arizona Eye" ) . |*f!w}5  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) P'MY[&|mM'  
        count = 0 #E0t?:t5bk  
        While GetOperationCount(eID)>count qNyzU@  
            GetOperation eID, count, op T!W~n ZC  
            If op.Type="ShiftZ" Then ^w~23g.  
                DeleteOperation eID,count Nx#4W1B[`H  
                count=count-1 ^[Cv26  
            End If 5BR5X\f0  
            count=count+1 qW 1V85FG  
        Wend x{ }z ;yG  
        op.Type = "ShiftZ" x]5@>5  
        op.val1 = taq-0.01 wiX~D  
        op.parent = parID FI8Oz,  
        AddOperation eID, op 0tk#Gs[  
    56hA]O29O  
        Print "Set pupil diameter = " & pupilDiam M\b")Tu{0  
    Ch )dLPz@  
        'Update AZ Eye subassembly Description &4dz}zz90  
        eID = FindFullName( "Geometry.Arizona Eye" ) }Vu\(~  
        GetEntity eID, entity TST4Vy3  
        entity.Description = "Accommodation = " & A & "D" ~8`:7m?  
        SetEntity eID, entity 9]$8MY   
    -VDo[Zy  
        Update uR6w|e`  
        Print "DONE!" 6{d6s#|%  
         @+U,Nzd  
    End Sub O?EB8RB  
    /\mKY%kyh  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: c':ezEaC  
    :PbDU$x  
    Accommodation = 4 Diopters #0b&^QL  
    Pupil Diameter = 4 mm +a= 0\lpOy  
    Set aqueous humor thickness = 2.81 {+zJI-XN/  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 nA>sHy  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 *p ? e.%nd  
    Set lens thickness = 3.927 !\[+99F#  
    Set lens index of refraction = 1.42672 I>h<b_y  
    Set pupil diameter = 4 gJ2 H=#M  
    DONE! 3-40'$lE  
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    `P+(&taT  
    QQ:2987619807 D}Ilyk_uUw  
     
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