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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 !:c7I@  
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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。 7>9/bB+TL  
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    模型 k#5S'sCF<  
    w44{~[0d4  
    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。 R 7xV{o  
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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. WN?!(r<qA_  
    %Kw5 b ;  
    光源 v)%EG  
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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。 o-("S|A-  
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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。 r\'3q '7p  
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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。 ;}.jRmnJ  
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    图2. 字母F光源的设定方法光 <*8nv.PX*  
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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 9P{5bG0o8  
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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。 xZGR<+t  
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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。 <saS2.4  
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    图5. 视网膜重点采样规格设定
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    脚本 wD22@uM#]  
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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: xDRK^nmC  
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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>R ^iu  
    余下的脚本计算与屈光度有关的所有参数。 p KKn  
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    分析 _~HGMC)  
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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。 @2YO_rL[  
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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 N^%[ B9D  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. 7:jSP$  
    *v8Cj(69  
    Dim entity As T_ENTITY -S)HB$8  
    Dim op As T_OPERATION CSt6}_c!  
    Dim mat As T_MODELMATERIAL *`|.:'  
    Dim A As Double Y($"i<rN  
    Dim pupilDiam As Double %+o]1R  
    Dim eID As Long Kqhj=B  
    Dim parID As Long `9zP{p  
    Dim count As Integer n)$ q*IN"  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9#O"^.Z !  
    Dim tlens As Double, nlens As Double {3_M&$jN  
    Dim curv As Double, conic As Double <0JW[m  
    Dim ok As Long ;,Lq*x2s  
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    Sub Main V9B $_j4  
    2=["jP!B  
        '用户输入对话框 >'Y]C\  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 vJl4.nk  
            TextBox 220,21,40,21,.TextBox1 'default: 0 e)cmZ8~S  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _4[kg)#+  
            OKButton 40,91,90,21 @HIC i]  
            CancelButton 190,91,90,21 {P1W{|  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ${6 ;]ye  
            TextBox 220,49,40,21,.TextBox2 'default: 4 /x0zZ+}V  
        End Dialog pf] sL/g  
        Dim dlg As UserDialog >jN)9}3>-#  
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        ok = Dialog (dlg) jUW{Z@{U  
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        If ok=0 Then    'cancel button was pressed #G)ZhgB^  
            Print "Execution cancelled." f\^FUJy  
            End CIO&VK  
        End If al#yc  
    = 1`  
        'Assign accommodation and pupil diameter & use defaults if field left empty t)$>++i  
        If dlg.TextBox1 = "" Then >qcir~ &  
            A = 0           'Default accommodation 47ir QK*  
        Else ]C5JP~ #z  
            A = CDbl(dlg.TextBox1) T3'dfe U  
        End If zzq/%jki  
    7v%~^l7:x  
        If dlg.TextBox2 = "" Then `P : -a7_  
            pupilDiam = 4   'Default pupil diameter olK%TM[Y  
        Else ~[ve?51  
            pupilDiam = CDbl(dlg.TextBox2) ZVK;m1?'  
        End If i]9SCO  
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        Print " " LR-op?W  
        Print "Accommodation = " & A & " Diopters" P(A%z2Ql  
        Print "Pupil Diameter = " & pupilDiam & " mm" 0($MN]oZa  
    )Cu"M #`  
        ' Calculate new parameters with accommodation iwrdZLE  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness QsI$4:yl  
    Z{u*vUC&  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens P9X/yZ42  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens ZFz>" vt@  
    ffuV$#  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens gt}/C4|  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens ;uR8pz e  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 4s0>QD$J  
    .`xcR]PQ  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction Z1^S;#v  
    |D`Zi>lv  
        'Adjust parameters to account for accommodation <t]i' D(K  
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        '************************************************************************* }IEYH&4!  
        'Aqueous thickness (Position of Lens) hvZW~ =75  
        '************************************************************************* i"sVk8+o!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n# Z6d`  
        GetCustomElement eID, entity Gh42qar`  
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        parID = FindFullName( "Geometry.Arizona Eye" ) 8l;0)`PU  
    0+cRUH9Ew  
        ' Delete any shift(s) in z ZaXK=%z  
        count = 0 @: %}clZ  
        While GetOperationCount(eID)>count "+Xwc+v^  
            GetOperation eID, count, op RQ}x7< /{  
            If op.Type="ShiftZ" Then cs~ }k7><  
                DeleteOperation eID,count s+Ln>c'|o  
                count=count-1 $ZwsTV]x  
            End If q'q'v S  
            count=count+1 3cQTl5,  
        Wend bF?EuL  
    r`28fC  
        'Set new shift in 4lvo9R  
        op.Type = "ShiftZ" /EKfL\3  
        op.val1 = taq !=q {1\#  
        op.parent = parID 7d'4"c;*;  
        AddOperation eID, op VaSw}q/o:/  
        Print "Set aqueous humor thickness = " & taq-0.55 49Ht I9@  
    wF3mQ_hv:@  
        '************************************************************************* od?Q&'A  
        'Radius and conic constant of anterior lens $T]1<3\G  
        '************************************************************************* |~v($c  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) J>XaQfzwU  
        GetConic eID, entity, curv, conic LF*3Iw|v  
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        SetConic eID, entity, 1/Rant, CCant %>5Ht e<  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2/?pI/W  
    UxD1+\N6?  
        '************************************************************************* }u:^Mz  
        'Radius and conic constant of posterior lens 4ol=YGCI_  
        '************************************************************************* otX#}} +  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) "Z}0A/y  
        GetConic eID, entity, curv, conic BQ_\8Qt|  
    I%{^i d@  
        SetConic eID, entity, 1/Rpost, CCpost ;#fB=[vl";  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost nGX~G^mZ  
    {vA;#6B|  
        '************************************************************************* ]DC]=F.  
        'Lens thickness (Position of posterior lens surface) :M|bw{P*  
        '************************************************************************* ,<pql!B-  
    bis/Nfr]  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Qpf BM  
    N]+x@M @^3  
        ' Delete any z-shift(s) f&^Ea-c  
        count = 0 ~3f#cEP>d}  
        While GetOperationCount(eID)>count ?_n.B=H`8  
            GetOperation eID, count, op _mXq]r0  
            If op.Type="ShiftZ" Then EB@!?=0x  
                DeleteOperation eID,count G.B^C)guu  
                count=count-1 R>pa? tQgK  
            End If h`3;^T  
            count=count+1 +u25>pX  
        Wend TSHp.ABf  
    p c-'+7Dh>  
        'Set new z-shift >2$Ehw:K^  
        op.Type = "ShiftZ" GXJ3E"_.  
        op.val1 = tlens ;J?^M!l2=  
        op.parent = parID /:awPYGH<1  
        AddOperation eID, op @$+l ^"#-]  
        Print "Set lens thickness = " & tlens FopD/D{  
    ~}4H=[Zu  
        '************************************************************************* sPc\xY  
        'Lens index of refraction B#EF/\5  
        '************************************************************************* 36Wuc@<H  
        eID = FindMaterial( "Lens" ) _;LHC;,:  
        GetModelMaterial eID, mat 9Cf^Q3)5o  
    #Kn7 xn[  
        mat.Nd = nlens hh:)"<[  
        SetModelMaterial eID, mat 8'g/WZY~~  
        Print "Set lens index of refraction = " & nlens IFpmf0;^  
    1Rp|*>  
        '************************************************************************* )](8 {}wo  
        'Pupil diameter i Cv &<C@  
        '************************************************************************* K<+AJ(C  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )  pLyX9C  
    pR\etXeLd  
        'Adjust pupil diameter (trimming volume inner hole) dF1Bo  
    fCEd :Kr  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (W@ ypK@  
    $RA"NIZ:!  
        ' Adjust pupil location to just in front of the lens 7zQD.+&L  
        parID = FindFullName( "Geometry.Arizona Eye" ) |C-B=XE;3  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }[i35f[w  
        count = 0 xn}'!S2-b  
        While GetOperationCount(eID)>count 8^< -;  
            GetOperation eID, count, op Oa@X! \  
            If op.Type="ShiftZ" Then c1:op@t  
                DeleteOperation eID,count ZU "y<  
                count=count-1 _f34p:B%s  
            End If >u4uV8S   
            count=count+1 tbOe,-U-@  
        Wend U*a!Gn7l  
        op.Type = "ShiftZ" ]]`+aF0  
        op.val1 = taq-0.01 09x\i/nb  
        op.parent = parID #+_Oy Z*  
        AddOperation eID, op VQo7 se1P  
    4r5,kOFWb  
        Print "Set pupil diameter = " & pupilDiam Y{p *$  
    oMMU5sm  
        'Update AZ Eye subassembly Description 2 ] 4R`[#  
        eID = FindFullName( "Geometry.Arizona Eye" ) :;??!V  
        GetEntity eID, entity 1 !\pwd@{  
        entity.Description = "Accommodation = " & A & "D" C<n.C*o  
        SetEntity eID, entity jq =-Y  
    fylaH(LER  
        Update Yn I   
        Print "DONE!" K5 w22L^=+  
         $X\BO&  
    End Sub @H{$,\\  
    Nw|Lrn*h!  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: G_AAE#r`  
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    Accommodation = 4 Diopters b0KorUr  
    Pupil Diameter = 4 mm P, S9gG9  
    Set aqueous humor thickness = 2.81 twO)b"0  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 8-SVgo(  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 XriVHb  
    Set lens thickness = 3.927 ,:L}S03k  
    Set lens index of refraction = 1.42672 ?W(wtp,o  
    Set pupil diameter = 4 _k j51=  
    DONE! crhck'?0  
    5T8!5EcS*  
    JL(*peeu3  
    QQ:2987619807 ::M/s#-@  
     
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