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    [技术]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: 2021-10-22
    简介 wm0vqY+N$  
    X&DuX %x0  
    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。 *9e T#dH  
    *>%34m93  
    模型 Z'dY,<@  
    1) V,>)Ak  
    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。 o>#<c @  
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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. ^zkTV_,cRp  
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    光源 -H~g+i*J  
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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。 SPW @TF1  
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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。 W+PAlsOC  
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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。 Pa 2HFy2  
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    图2. 字母F光源的设定方法光 3P Twpq1  
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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 USu/Y29  
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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。 Ou/@!Y1  
    nS[0g^}  
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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。 #/sKb2eQ  
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    图5. 视网膜重点采样规格设定
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    脚本 >=^g%K$L6J  
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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: @]tFRV  
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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。 wRf_IBhCd  
    余下的脚本计算与屈光度有关的所有参数。 $=iz&{9  
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    分析 ^te9f%>$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。 %Z&[wU~  
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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 FB@c +*1  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. }txHuq1Q.  
    a}#[mw@m=  
    Dim entity As T_ENTITY oe`o UnN  
    Dim op As T_OPERATION 2i', e  
    Dim mat As T_MODELMATERIAL O<S*bN>BF  
    Dim A As Double S4s\tA<  
    Dim pupilDiam As Double gm8L5c V  
    Dim eID As Long ItQIM#  
    Dim parID As Long nlH H}K  
    Dim count As Integer Lcplc"C  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ) !3XM  
    Dim tlens As Double, nlens As Double /4 RKA!W  
    Dim curv As Double, conic As Double fS-#dJC";`  
    Dim ok As Long eznw05U  
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    Sub Main Ia)wlA02S  
    /#9O{)  
        '用户输入对话框 sBS\S  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ckP&N:tC  
            TextBox 220,21,40,21,.TextBox1 'default: 0 g63:WX-\  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 p}uL%:Vr  
            OKButton 40,91,90,21 tb AN{pX  
            CancelButton 190,91,90,21 u%5B_<90V  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 v;el= D  
            TextBox 220,49,40,21,.TextBox2 'default: 4 ")ow,r^"  
        End Dialog Sl^HMO  
        Dim dlg As UserDialog cG?RisSZ  
    s?=f,I  
        ok = Dialog (dlg) KmZUDU%R  
    [[JwHM8H&  
        If ok=0 Then    'cancel button was pressed 8_U*_I7(  
            Print "Execution cancelled." 9XF+? x  
            End !-x^b.${B  
        End If \`{ YqOT  
    -{pcb7.xuv  
        'Assign accommodation and pupil diameter & use defaults if field left empty '68{dyFZL  
        If dlg.TextBox1 = "" Then + R])u5c'  
            A = 0           'Default accommodation \PU|<Ru.  
        Else 9g J`H'  
            A = CDbl(dlg.TextBox1) 2 'xT%  
        End If 8iK>bp  
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        If dlg.TextBox2 = "" Then :2 ?dl:l  
            pupilDiam = 4   'Default pupil diameter `"I^nD^t>Y  
        Else 2aW&d=!ZV  
            pupilDiam = CDbl(dlg.TextBox2) Eo)Q> AM  
        End If [>;U1Wt  
    ;*wZgl  
        Print " " Wxb/|?,  
        Print "Accommodation = " & A & " Diopters" O]m,zk  
        Print "Pupil Diameter = " & pupilDiam & " mm" -} 9ZZ#K  
    s~]Ri:7~  
        ' Calculate new parameters with accommodation Jnb>u*7,  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness _(<[!c!@0  
    ocAoqjlT[  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens u_e}m>[S  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens #]:yCiA  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens :v Pzw!  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ~( -B%Az  
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        tlens = 3.767 + 0.04*A                  'Lens thickness |6"zIHvtc  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction q,^^c1f  
    3Q~ng2Wv%  
        'Adjust parameters to account for accommodation 4B-v\3Ff  
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        '************************************************************************* 9FX'Uws  
        'Aqueous thickness (Position of Lens) u <%,Ql  
        '************************************************************************* (3%NudkwT  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) fwf]1@#   
        GetCustomElement eID, entity "[BuQ0(g  
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        parID = FindFullName( "Geometry.Arizona Eye" ) M!,$i  
    Hl?\P6   
        ' Delete any shift(s) in z .AWRe1?  
        count = 0 9$)TAI&P  
        While GetOperationCount(eID)>count &( b\jyf  
            GetOperation eID, count, op ,l#V eC  
            If op.Type="ShiftZ" Then C*/d%eHD  
                DeleteOperation eID,count [|<|a3']|  
                count=count-1 @;G}bYq^(I  
            End If PC7U&*x@  
            count=count+1 w~;1R\?|  
        Wend !HY+6!hk  
    jQj`GnN|  
        'Set new shift in ] GJIrtS4  
        op.Type = "ShiftZ" 0{@E=}}h  
        op.val1 = taq My5h;N@C  
        op.parent = parID (Y)$+9  
        AddOperation eID, op yg5Ik{  
        Print "Set aqueous humor thickness = " & taq-0.55 s0E:hn:  
    wX<)Fj'  
        '************************************************************************* -SlLX\>p  
        'Radius and conic constant of anterior lens e#0R9+"Ba  
        '************************************************************************* rKg5?.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Z<0M_q9?MO  
        GetConic eID, entity, curv, conic bEMD2ABm  
    =Mc*~[D/  
        SetConic eID, entity, 1/Rant, CCant egYJ.ZzF0  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant E/Q[J.$o  
    [_^K}\/+  
        '************************************************************************* aHXd1\6m  
        'Radius and conic constant of posterior lens @@# ^G8+l  
        '************************************************************************* >IJH#>i  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) H .JA)*b-  
        GetConic eID, entity, curv, conic Zyu4!  
    4@.qM6 \\q  
        SetConic eID, entity, 1/Rpost, CCpost ?N~rms e  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost h&{9 &D1t  
    N*f?A$u/I  
        '************************************************************************* q#xoM1  
        'Lens thickness (Position of posterior lens surface) ^I5k+cL  
        '************************************************************************* cE$<6&0  
    H]H*Ouu["e  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,@;",  
    uv%T0JA/  
        ' Delete any z-shift(s) ]L"jt8E  
        count = 0 jav7V"$  
        While GetOperationCount(eID)>count ==RYf*d  
            GetOperation eID, count, op }:])1!a  
            If op.Type="ShiftZ" Then MD1n+FgTu  
                DeleteOperation eID,count }G]6Rip 3  
                count=count-1 U6t>UE6k  
            End If Ovxs+mQ  
            count=count+1 "iMuA  
        Wend sy.FMy+  
    *Ew`Fm H  
        'Set new z-shift DJdW$S7  
        op.Type = "ShiftZ" }u5/  
        op.val1 = tlens 1aP3oXLL  
        op.parent = parID D{x'k2=  
        AddOperation eID, op w<!F& kQB  
        Print "Set lens thickness = " & tlens V`fp%7W  
    c$Z3P%aP'V  
        '************************************************************************* z\]]d?d?;  
        'Lens index of refraction bJ4})P&  
        '************************************************************************* $nUhM|It  
        eID = FindMaterial( "Lens" ) UMILAoR  
        GetModelMaterial eID, mat )"/.2S;  
    X4_1kY;  
        mat.Nd = nlens "oz : & #+  
        SetModelMaterial eID, mat ]0p] u d&  
        Print "Set lens index of refraction = " & nlens V^;2u  
    !nQ_<  
        '************************************************************************* J&CA#Bg:w  
        'Pupil diameter e{EKM4  
        '************************************************************************* 2w_[c.  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) R.@I}>  
    Hb55RilC  
        'Adjust pupil diameter (trimming volume inner hole) hfE5[  
    ?41bZ$j  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >o9tlO)  
    "m,)3zND3  
        ' Adjust pupil location to just in front of the lens />Kd w  
        parID = FindFullName( "Geometry.Arizona Eye" ) o-a\T  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 1Bp?HyCR  
        count = 0 fUx;_GX?  
        While GetOperationCount(eID)>count .;}vp*  
            GetOperation eID, count, op NXo$rf:  
            If op.Type="ShiftZ" Then 0`UI^Y~Q  
                DeleteOperation eID,count QiC}hj$  
                count=count-1 l7 Pn5c  
            End If {P')$f)  
            count=count+1 $$F iCMI  
        Wend cZC%W!pT  
        op.Type = "ShiftZ" ]Y111<Ja  
        op.val1 = taq-0.01 xs,,)jF(u  
        op.parent = parID g]&7c:/  
        AddOperation eID, op f$1&)1W[  
    ^x2zMB\t  
        Print "Set pupil diameter = " & pupilDiam hhWIwR  
    *Tc lc u  
        'Update AZ Eye subassembly Description $0 ]xeD0X  
        eID = FindFullName( "Geometry.Arizona Eye" ) |?A:[C#X  
        GetEntity eID, entity n=Ze p{^  
        entity.Description = "Accommodation = " & A & "D" FxU a5 n  
        SetEntity eID, entity X'FDQoH  
    8k +^jj  
        Update 4N6JKS  
        Print "DONE!" Rax]svc  
         >|zMN$:  
    End Sub (;VlK#rnC  
    sbv2*fno5  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: | KtI:n4d  
    XM1; >#kz  
    Accommodation = 4 Diopters %9vl  
    Pupil Diameter = 4 mm Jlp nR#@  
    Set aqueous humor thickness = 2.81 IC"Z.'Ph  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 VO JA}$  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ;n,xu0/  
    Set lens thickness = 3.927 w1Txz4JqB  
    Set lens index of refraction = 1.42672 iq^F?$gFk  
    Set pupil diameter = 4 Ef @  
    DONE! z@I'Ryalyc  
     
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