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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 zWpJ\/k~  
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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。 ~K}iVX  
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    模型 sS;6QkI"y  
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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_*$ Avy  
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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. B*7Y5_N  
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    光源 >(mp$#+w  
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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。 &<6E*qM  
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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。 W1'F)5(?7  
    &5puGnTZ  
    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。 %jz]s4u$5j  
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    图2. 字母F光源的设定方法光 q/U(j&8W{  
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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 jGpSECs  
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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。 ITJ{]7N  
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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。 FJ0Ity4u6  
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    图5. 视网膜重点采样规格设定
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    脚本 p=%Vo@*]  
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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: :5Vk+s]8  
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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。 .nN=M>#/  
    余下的脚本计算与屈光度有关的所有参数。 o V"d%ks  
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    分析 {gh41G;n  
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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。 8K+(CS>xvO  
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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 a&:1W83  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. J{>9ctN  
    =k.:XblEe[  
    Dim entity As T_ENTITY \:]  
    Dim op As T_OPERATION 9R_2>BDn  
    Dim mat As T_MODELMATERIAL (NfP2E|B  
    Dim A As Double $!Z><&^/  
    Dim pupilDiam As Double \H(r }D$u<  
    Dim eID As Long vHR-mQUs  
    Dim parID As Long ;:<z hO  
    Dim count As Integer -7MR2)U  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @z $,KUH  
    Dim tlens As Double, nlens As Double TljN!nv]  
    Dim curv As Double, conic As Double 5)h#NkA\J  
    Dim ok As Long ,TeJx+z^  
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    Sub Main 6cR}Mm9Hx3  
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        '用户输入对话框 PJd7t% m;  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 t][U`1>i  
            TextBox 220,21,40,21,.TextBox1 'default: 0 % 8c <C  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 758`lfz=_  
            OKButton 40,91,90,21 6P,vGmR  
            CancelButton 190,91,90,21 j,<3[  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 .CJQ]ECl7p  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ^gw htnI  
        End Dialog ^RL#(O  
        Dim dlg As UserDialog '?| (QU:)F  
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        ok = Dialog (dlg) Mc8|4/<Z  
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        If ok=0 Then    'cancel button was pressed B$A`thQp  
            Print "Execution cancelled." eKRslMa  
            End &d,chb (  
        End If {u!Q=D$3  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 3[q&%Z.  
        If dlg.TextBox1 = "" Then Q?"o.T';  
            A = 0           'Default accommodation )"( ojh  
        Else '8%pEl^  
            A = CDbl(dlg.TextBox1) #+VH]7]  
        End If q%H`/~AYM  
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        If dlg.TextBox2 = "" Then \.0cA4)[$  
            pupilDiam = 4   'Default pupil diameter m(2(Caz{  
        Else }E o\=>l7  
            pupilDiam = CDbl(dlg.TextBox2) Ufx^@%v  
        End If 2bJqZ,@  
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        Print " " N=2BrKb)o  
        Print "Accommodation = " & A & " Diopters" T >pz/7gb  
        Print "Pupil Diameter = " & pupilDiam & " mm" l'yX_`*Iq  
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        ' Calculate new parameters with accommodation )gX7qQ  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness CMQlxX?  
    tKr.{#)  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens A%Ov.~&\G  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens }Iyr u3M][  
    L&D+0p^lI  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens T/[8w  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens $x5,Oen  
    kzky{0yKk=  
        tlens = 3.767 + 0.04*A                  'Lens thickness Sf_q;Ws  
    ]YQ!i@Y  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction #9R[%R7Nz  
    4[\$3t.L  
        'Adjust parameters to account for accommodation 5,Q3#f~!  
    * ':LBc=%  
        '************************************************************************* y#Cp Vm#!>  
        'Aqueous thickness (Position of Lens) KBUClx?  
        '************************************************************************* t>f61<27eB  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) S\\3?[!p  
        GetCustomElement eID, entity {"^LUw8fd  
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        parID = FindFullName( "Geometry.Arizona Eye" ) [Ej#NHs  
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        ' Delete any shift(s) in z $`KddW0_  
        count = 0 "-y 2En  
        While GetOperationCount(eID)>count !b !C+ \v  
            GetOperation eID, count, op 4yZ'+\ +I  
            If op.Type="ShiftZ" Then For`rfR  
                DeleteOperation eID,count sl5y1W/]]  
                count=count-1 |igr3p5Fw  
            End If PZT]H?  
            count=count+1 *\-R&8  
        Wend ZsgJ6 Y  
    nZ4JI+Q)~  
        'Set new shift in \(4"kY_=  
        op.Type = "ShiftZ" .Lwp`{F/  
        op.val1 = taq Qkk3>{I  
        op.parent = parID SxX2+|0g`g  
        AddOperation eID, op j{U#g8  
        Print "Set aqueous humor thickness = " & taq-0.55 |8QXjzH  
    r Jo8|  
        '************************************************************************* z%4E~u10  
        'Radius and conic constant of anterior lens J|O=w(  
        '************************************************************************* &-S;.}  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =up!lg^M  
        GetConic eID, entity, curv, conic b]-~{' +  
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        SetConic eID, entity, 1/Rant, CCant }\iH~T6  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant \n&l  
    b I%Sq+"}  
        '************************************************************************* ;s^br17z~  
        'Radius and conic constant of posterior lens 4R c_C0O  
        '************************************************************************* Czl4^STiC  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) WxLmzSz{xD  
        GetConic eID, entity, curv, conic vb&1 S  
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        SetConic eID, entity, 1/Rpost, CCpost Z(|@C(IL0\  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N7wKaezE  
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        '************************************************************************* 0h3 -;%  
        'Lens thickness (Position of posterior lens surface) tny^sG/'  
        '************************************************************************* hc2AGeZr  
    H3}eFl=i2  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) u{asKUce\  
    p)x*uqSd  
        ' Delete any z-shift(s) {vp|f~}zTw  
        count = 0 %Voq"}}N  
        While GetOperationCount(eID)>count f;PPB@ :`$  
            GetOperation eID, count, op wt@Qjbqd8  
            If op.Type="ShiftZ" Then `<?{%ja  
                DeleteOperation eID,count *X_-8 ^~  
                count=count-1 4s:S_Dw  
            End If h/LlH9S:!  
            count=count+1 \68x]q[  
        Wend i[+cNJ|$B0  
    fwN'5ep  
        'Set new z-shift 2!w5eWl,  
        op.Type = "ShiftZ" ORc20NFy7  
        op.val1 = tlens GKk> ;X-  
        op.parent = parID w!5@PJ)~U  
        AddOperation eID, op 8E/wUN,Lxj  
        Print "Set lens thickness = " & tlens hja;d1yH  
    <[oPh(!V  
        '************************************************************************* \{GBaMwG~  
        'Lens index of refraction x;w^&<hQ\  
        '************************************************************************* tM% f#O  
        eID = FindMaterial( "Lens" ) l DWg%pI+  
        GetModelMaterial eID, mat =V[ey  
    34Fc oud);  
        mat.Nd = nlens *EB`~s  
        SetModelMaterial eID, mat yF _@^V  
        Print "Set lens index of refraction = " & nlens fr19C%{  
    =*[98%b   
        '************************************************************************* z_ 01*O  
        'Pupil diameter x!i(M>P  
        '************************************************************************* l>kREfHq!{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %XQ!>BeE  
    H[x$65ND  
        'Adjust pupil diameter (trimming volume inner hole) D)_67w|u|  
    ~{xm(p  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q4[^JQsR2  
    4 g%BCGsys  
        ' Adjust pupil location to just in front of the lens lQq&tz,  
        parID = FindFullName( "Geometry.Arizona Eye" ) nZtP!^#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) fqY; > Z  
        count = 0 J^Mq4&  
        While GetOperationCount(eID)>count ! D \u2h  
            GetOperation eID, count, op 8M~^/Zc  
            If op.Type="ShiftZ" Then c*@#0B  
                DeleteOperation eID,count r](%9Y  
                count=count-1 P@xb  
            End If e  -yL  
            count=count+1 $*k9e^{S  
        Wend HT% =o}y  
        op.Type = "ShiftZ" rD?G7l<~>_  
        op.val1 = taq-0.01 lG>,&(  
        op.parent = parID T`7HQf ;  
        AddOperation eID, op jMAZ4M  
    X9S` #N  
        Print "Set pupil diameter = " & pupilDiam ~CRd0T[^  
    *Bm7>g6  
        'Update AZ Eye subassembly Description <aPbKDF~V  
        eID = FindFullName( "Geometry.Arizona Eye" ) P\nz;}nv  
        GetEntity eID, entity V9 J`LQ\0  
        entity.Description = "Accommodation = " & A & "D" kgl7l?|O  
        SetEntity eID, entity jI;iTKjB(  
    |n/qJIE6  
        Update Pc:5*H  
        Print "DONE!" ;dR4a@  
         "gQ-{ W  
    End Sub -"9&YkN  
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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: zF([{5r[!)  
    %RS~>pK1  
    Accommodation = 4 Diopters 2|re4  
    Pupil Diameter = 4 mm V:Lq>rs#  
    Set aqueous humor thickness = 2.81 |({ M8!BS  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 s{:l yp  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 F^/b!)4X  
    Set lens thickness = 3.927 ~TvKMW6/#  
    Set lens index of refraction = 1.42672 "rJJ~[Y  
    Set pupil diameter = 4 A7c*qBt  
    DONE! |Vj@;+/j  
     
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