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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 _D,f 4.R  
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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。 m&0BbyE.z  
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    模型 Q1\k`J  
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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。 +xBK^5/x  
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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. BI.k On=  
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    光源 OK?3,<x  
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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。 Y\Qxdq  
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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。 $< K)fbG  
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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。 kbp( a+5  
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    图2. 字母F光源的设定方法光 &*]{"^  
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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 H(G^O&ppdB  
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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。 +fP/|A8P  
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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。 [X">vaa  
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    图5. 视网膜重点采样规格设定
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    脚本 f5yux}A{  
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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: }EedHS  
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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。 XHZ: mLf  
    余下的脚本计算与屈光度有关的所有参数。 a?,[w'7FU  
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    分析 MB8SB   
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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。 ~6-"i0k  
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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 x>^3]m  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. };"+ O  
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    Dim entity As T_ENTITY 5qd_>UHp  
    Dim op As T_OPERATION {7=WU4$  
    Dim mat As T_MODELMATERIAL G !1~i*P$u  
    Dim A As Double hEv=T'*,K)  
    Dim pupilDiam As Double ~3'RW0  
    Dim eID As Long 9QH9gdiw  
    Dim parID As Long gv#c~cX]  
    Dim count As Integer pF sCd"zv  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 8Q^6ibE  
    Dim tlens As Double, nlens As Double 5oU`[&=Ob  
    Dim curv As Double, conic As Double bB:r]*_ s]  
    Dim ok As Long -Wlp=#9  
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    Sub Main #*Yi4Cn<  
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        '用户输入对话框 M[YTk=IM#  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 JO2ZS6k[  
            TextBox 220,21,40,21,.TextBox1 'default: 0 =f4[=C$&`  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ':4}O#  
            OKButton 40,91,90,21 r=~WMDCz@  
            CancelButton 190,91,90,21 ceFsGdS  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 [lNqT1%]  
            TextBox 220,49,40,21,.TextBox2 'default: 4 K\IYx|Hm a  
        End Dialog &Y54QE".  
        Dim dlg As UserDialog ]6t]m2~\  
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        ok = Dialog (dlg) %RQC9!  
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        If ok=0 Then    'cancel button was pressed \7Gg2;TA6o  
            Print "Execution cancelled." .M9d*qp`S  
            End bJQ5- *F  
        End If $J QWfGwR  
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        'Assign accommodation and pupil diameter & use defaults if field left empty 8K \'Z  
        If dlg.TextBox1 = "" Then r}/yi  
            A = 0           'Default accommodation f^W[; w  
        Else ,vPe}OKj  
            A = CDbl(dlg.TextBox1) [3O^0-:6E  
        End If @br@[RpB  
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        If dlg.TextBox2 = "" Then }>MP{67Dm  
            pupilDiam = 4   'Default pupil diameter hLb;5u&!kW  
        Else B{7Kzwh;  
            pupilDiam = CDbl(dlg.TextBox2) ]y3pE}R  
        End If p91`<>Iw  
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        Print " " 4. 1rJa  
        Print "Accommodation = " & A & " Diopters" $[Tt#CJ w  
        Print "Pupil Diameter = " & pupilDiam & " mm" I jZ]_*^!  
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        ' Calculate new parameters with accommodation H>60D|v[  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness .6>  hD1'  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens L|&'jH)  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens PX;Vo~6  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens SArfczoB  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens M]}l^ m>L  
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        tlens = 3.767 + 0.04*A                  'Lens thickness >qR7'QwP  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction OnZF6yfN=3  
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        'Adjust parameters to account for accommodation a%Uw;6|{  
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        '************************************************************************* kmryu=  
        'Aqueous thickness (Position of Lens) HbcOTd)=5  
        '************************************************************************* !7}IqSs  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !X^Hi=aV  
        GetCustomElement eID, entity {vs 4vS6  
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        parID = FindFullName( "Geometry.Arizona Eye" ) w{pUUo:<  
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        ' Delete any shift(s) in z )FRM_$t  
        count = 0 <"W?<VjO  
        While GetOperationCount(eID)>count l :/&E 6 9  
            GetOperation eID, count, op ~A6"sb=  
            If op.Type="ShiftZ" Then fX_#S|DlSG  
                DeleteOperation eID,count W+_RhJ  
                count=count-1 OFA{ KZga  
            End If VZ$=6CavH  
            count=count+1 7W"/ N#G  
        Wend [r(Qs|  
    #O"  
        'Set new shift in BT]ua]T+  
        op.Type = "ShiftZ" |'tW=  
        op.val1 = taq F!J J6d53y  
        op.parent = parID rz6uDJ"  
        AddOperation eID, op ['z!{Ez  
        Print "Set aqueous humor thickness = " & taq-0.55 %%>_B2vc  
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        '************************************************************************* Wt^|BjbB4  
        'Radius and conic constant of anterior lens QdQ d(4/1  
        '************************************************************************* 6SVqRD<`  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ir5WN_EaS  
        GetConic eID, entity, curv, conic ~4\,&HH  
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        SetConic eID, entity, 1/Rant, CCant 9}5K6aQ  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 1~J5uB4  
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        '************************************************************************* )t:7_M3  
        'Radius and conic constant of posterior lens n 6{2]&sd  
        '************************************************************************* h>alGLN>  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -?<4Og[^  
        GetConic eID, entity, curv, conic 9GgA6#  
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        SetConic eID, entity, 1/Rpost, CCpost \?DR s  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 9I`Y-D  
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        '************************************************************************* k;I  &.H  
        'Lens thickness (Position of posterior lens surface) n-o3  
        '************************************************************************* eWvo,4  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :~zv t  
    _n"Ae?TP  
        ' Delete any z-shift(s) Q$ri=uB;+  
        count = 0 F2 ~%zNe  
        While GetOperationCount(eID)>count {fV}gR2  
            GetOperation eID, count, op O oSb>Y/4  
            If op.Type="ShiftZ" Then r[_4Lo @G  
                DeleteOperation eID,count e8}Ezy"^  
                count=count-1 ~9=aT1S|  
            End If N j4IQ<OV  
            count=count+1 0:&ZnE}##  
        Wend b.F^vv"]]  
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        'Set new z-shift v>A=2i*j  
        op.Type = "ShiftZ" &<5+!c V=  
        op.val1 = tlens >^$2f&z  
        op.parent = parID 8i}< k$S  
        AddOperation eID, op TZRcd~5$  
        Print "Set lens thickness = " & tlens iWLa>z|,  
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        '************************************************************************* }P9Ap3?  
        'Lens index of refraction `zpbnxOL$T  
        '************************************************************************* ]"~51HQZ  
        eID = FindMaterial( "Lens" ) 8FkFM^\1L  
        GetModelMaterial eID, mat (k`{*!:1a  
    N ]N4^A'  
        mat.Nd = nlens B*1W`f  
        SetModelMaterial eID, mat q o 1lj"P  
        Print "Set lens index of refraction = " & nlens _:`!DIz~9}  
    ;AJTytE>%  
        '************************************************************************* 7=XL!:P  
        'Pupil diameter %XTcP2pRJ  
        '************************************************************************* E7zm{BX]  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) WO</Mw  
    bEV<iZDq%  
        'Adjust pupil diameter (trimming volume inner hole) !yOeW0/2[  
    \5)htL1F  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" BxK^?b[E8  
    1 " #*)MF  
        ' Adjust pupil location to just in front of the lens " =] -%B  
        parID = FindFullName( "Geometry.Arizona Eye" ) up '  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =PHIpFIuk  
        count = 0 o4b~4 h{%  
        While GetOperationCount(eID)>count X"fh@.  
            GetOperation eID, count, op 6\jf|:h  
            If op.Type="ShiftZ" Then 8>WVodv  
                DeleteOperation eID,count -fI@])$9J  
                count=count-1 76cG90!Z  
            End If 4Kwh?8.  
            count=count+1 ^!8P<y  
        Wend 1xE]6he4{T  
        op.Type = "ShiftZ" 4*.K'(S5fx  
        op.val1 = taq-0.01 -62'}%?A<C  
        op.parent = parID JPn$FQD  
        AddOperation eID, op  Ez~'^s@  
    6$fYt&1  
        Print "Set pupil diameter = " & pupilDiam 4 1a. #o  
    gb=/#G0R  
        'Update AZ Eye subassembly Description `(6r3f~XJ  
        eID = FindFullName( "Geometry.Arizona Eye" ) 6]zd.W  
        GetEntity eID, entity '})0!g<Y  
        entity.Description = "Accommodation = " & A & "D" Nc Pgq?3p  
        SetEntity eID, entity [+m?G4[  
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        Update l1U=f]  
        Print "DONE!" 5}$b0<em~  
         u]+~VT1C,3  
    End Sub K_?W\Yg   
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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: ~9)"!   
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    Accommodation = 4 Diopters ^.k |SK`U  
    Pupil Diameter = 4 mm p!O(Y6QM  
    Set aqueous humor thickness = 2.81 {j5e9pg1L|  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ~=<}\a~  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 l {jmlT  
    Set lens thickness = 3.927 R" )bDy?  
    Set lens index of refraction = 1.42672 7@lS.w\#-  
    Set pupil diameter = 4 G0u LmW70  
    DONE! $N :Vo(*  
     
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