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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 CdQ!GS<'y  
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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。 D,feF9  
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    模型 5j(k:a+!H  
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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。 i/4>2y9/F4  
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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. i_%_x*  
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    光源 rILYI;'o  
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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。 02^rV*re  
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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。 XL ^GZ  
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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。 $UwCMPs X  
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    图2. 字母F光源的设定方法光 5H^ (2w  
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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 gbA_DZ  
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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。 $& c*'3  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 SXh-A1t  
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    图5. 视网膜重点采样规格设定
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    脚本 i%?*@uj  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: "AqB$^S9t  
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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#,ZUOPGH  
    余下的脚本计算与屈光度有关的所有参数。 c+ie8Q!  
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    分析 %BODkc Zh  
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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。 sLk-x\P]|  
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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 |.dRily+  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. l[J8!u2Xp  
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    Dim entity As T_ENTITY /-s6<e!  
    Dim op As T_OPERATION cMIEtK`  
    Dim mat As T_MODELMATERIAL Z_NCD`i;  
    Dim A As Double xIn:ZKJ'  
    Dim pupilDiam As Double K=&>t6s<  
    Dim eID As Long \U_@S.  
    Dim parID As Long y();tsW qc  
    Dim count As Integer Hn:Crl y#  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]M3yLYK/P  
    Dim tlens As Double, nlens As Double %so]L+r2!  
    Dim curv As Double, conic As Double %iB,IEw  
    Dim ok As Long l^ }c!  
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    Sub Main EQ_aa@M7  
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        '用户输入对话框 7>RY/O;Z,  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 F'Z,]b'st3  
            TextBox 220,21,40,21,.TextBox1 'default: 0 v:#tWEbo-  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 AXB7oV,xt  
            OKButton 40,91,90,21 uAk.@nfiEv  
            CancelButton 190,91,90,21 7EJ+c${e.-  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 X>^fEQq"  
            TextBox 220,49,40,21,.TextBox2 'default: 4 =~gvZV-<  
        End Dialog 6\t@)=C,Q  
        Dim dlg As UserDialog Y:`&=wjP~  
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        ok = Dialog (dlg) '"Nr,vQo  
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        If ok=0 Then    'cancel button was pressed jiGTA:v  
            Print "Execution cancelled." y7<|_:00  
            End Wn6Sn{8W{  
        End If Gm`8q}<I  
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        'Assign accommodation and pupil diameter & use defaults if field left empty HZOMlOZ  
        If dlg.TextBox1 = "" Then + T+#q@  
            A = 0           'Default accommodation Rb;'O89Hj@  
        Else @VI@fN  
            A = CDbl(dlg.TextBox1) EX"yxZ~  
        End If 4Tc~b3\!Y  
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        If dlg.TextBox2 = "" Then >mkFV@`  
            pupilDiam = 4   'Default pupil diameter )5H?Vh>36  
        Else {{1G`;|v 9  
            pupilDiam = CDbl(dlg.TextBox2) ?A0)L27UE&  
        End If 8XaQAy%d]  
    _v:SP LU  
        Print " " $Kd>:f=A  
        Print "Accommodation = " & A & " Diopters" u@^LW<eD  
        Print "Pupil Diameter = " & pupilDiam & " mm" 4e  
    BLFdHB.$T  
        ' Calculate new parameters with accommodation bK7J}8hH  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness bd`P0f?  
    VaPG-n>Vf  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens V~#tuv  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens _dU\JD  
    4z)]@:`}z  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens 0}9h]X'  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens sRfcF`7  
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        tlens = 3.767 + 0.04*A                  'Lens thickness U!]dEW|G  
    (% 9$!v{3  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction 1*7@BP5  
    )}v l\7=  
        'Adjust parameters to account for accommodation 1x^GWtRp  
    V6Dbd" i9  
        '************************************************************************* 8k79&|  
        'Aqueous thickness (Position of Lens) 4K74=r),i  
        '************************************************************************* fy$1YI>!Q  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !9x}  
        GetCustomElement eID, entity ?ubro0F:  
    =M-p/uB]  
        parID = FindFullName( "Geometry.Arizona Eye" ) =c7;r]Ol  
    'q.!|G2U  
        ' Delete any shift(s) in z t<qiGDJ<d  
        count = 0 7z-[f'EIUI  
        While GetOperationCount(eID)>count ,?3G;-  
            GetOperation eID, count, op 5 dg(e3T  
            If op.Type="ShiftZ" Then adw2x pj  
                DeleteOperation eID,count 4P0}+  
                count=count-1 0YHFvy)  
            End If Pc9H0\+Xk  
            count=count+1 _f{{( 7  
        Wend e(yh[7p=  
    0$njMnB2l  
        'Set new shift in F[0]/  
        op.Type = "ShiftZ" OJxl<Q=z  
        op.val1 = taq 9FX-1,Jx  
        op.parent = parID ~XIb\m9H  
        AddOperation eID, op $8FUfJ1@  
        Print "Set aqueous humor thickness = " & taq-0.55 /O9EQPm(  
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        '************************************************************************* cnLro  
        'Radius and conic constant of anterior lens Wjc'*QCPl  
        '************************************************************************* tVjsRnb{  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) d'2A,B~_*  
        GetConic eID, entity, curv, conic (w{j6).3Dj  
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        SetConic eID, entity, 1/Rant, CCant qWw=8Bq  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant YzWz|  
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        '************************************************************************* (#'>(t(4  
        'Radius and conic constant of posterior lens 3sk9`=[{$  
        '************************************************************************* *`U~?q}  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) rs.)CMk53  
        GetConic eID, entity, curv, conic 'VbiVLWD  
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        SetConic eID, entity, 1/Rpost, CCpost w(rE`IgW  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost fZ. ONq  
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        '************************************************************************* _g. {MTQ  
        'Lens thickness (Position of posterior lens surface) $u.z*b_yy  
        '************************************************************************* 1"g<0 W  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) AR=]=8  
    $C\BcKlmv  
        ' Delete any z-shift(s) yjAL\U7`T  
        count = 0 8_8l.!~  
        While GetOperationCount(eID)>count Vc2`b3"Br  
            GetOperation eID, count, op A's{j7  
            If op.Type="ShiftZ" Then Ned."e  
                DeleteOperation eID,count =}*0-\QG  
                count=count-1 Uv.)?YeGh  
            End If pUTr!fR  
            count=count+1 "fI6Cpc  
        Wend d5.4l&\u  
    68 sB )R  
        'Set new z-shift w@b)g  
        op.Type = "ShiftZ" yw!{MO  
        op.val1 = tlens Fp:'M X  
        op.parent = parID E3i4=!Y  
        AddOperation eID, op w &(ag$p'  
        Print "Set lens thickness = " & tlens _^;Z~/.  
    FtZ?C@1/  
        '************************************************************************* T |p"0b A  
        'Lens index of refraction ""H?gsL[  
        '************************************************************************* q@&6#B  
        eID = FindMaterial( "Lens" ) H.c7Nle  
        GetModelMaterial eID, mat sRW<me;  
    1,~D4lD|  
        mat.Nd = nlens OPi0~s  
        SetModelMaterial eID, mat =WLY6)]A  
        Print "Set lens index of refraction = " & nlens Gq6*SaTk  
    \8 ":]EU  
        '************************************************************************* R=dC4;  
        'Pupil diameter JLYi]nZ  
        '************************************************************************* U(Zq= M  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6mE\OS-I  
    d1*<Ll9K  
        'Adjust pupil diameter (trimming volume inner hole) TV:9bn?r)  
    n?Q|)2 2  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >7FHo-H/T  
    2T1q?L?]  
        ' Adjust pupil location to just in front of the lens OVJ0}5P*  
        parID = FindFullName( "Geometry.Arizona Eye" ) 2/f}S?@   
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) : +u]S2u{  
        count = 0 z{6Z 11|  
        While GetOperationCount(eID)>count T+$[eWk"a  
            GetOperation eID, count, op @7u0v  
            If op.Type="ShiftZ" Then 7P T{lT  
                DeleteOperation eID,count E@\e$?*X  
                count=count-1 >sF)Bo Lc  
            End If b' y%n   
            count=count+1 i1085ztN  
        Wend 5N]"~w*  
        op.Type = "ShiftZ" HsWk*L `y  
        op.val1 = taq-0.01 /efUjkP  
        op.parent = parID i@q&5;%%  
        AddOperation eID, op #z(]xI)"  
    6LZCgdS{  
        Print "Set pupil diameter = " & pupilDiam }qUX=s GG  
    -4K5-|>O  
        'Update AZ Eye subassembly Description }b}m3i1  
        eID = FindFullName( "Geometry.Arizona Eye" ) LP-o8c  
        GetEntity eID, entity u NyVf7u  
        entity.Description = "Accommodation = " & A & "D" _GPe<H  
        SetEntity eID, entity Ni>[D"|  
    NHt\ U9l'  
        Update 5(2;|I,T  
        Print "DONE!" "7 yD0T)2  
         7=uj2.J6  
    End Sub JC"z&ka  
    QP x^_jA  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: k+ /6$pI  
    WxDh;*am:  
    Accommodation = 4 Diopters ;"I^ZFYX  
    Pupil Diameter = 4 mm 6Zo}(^Ovz  
    Set aqueous humor thickness = 2.81 _aphkeqd  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ~Ei<Z`3}7"  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 5G#n"}T  
    Set lens thickness = 3.927 4| f*eO  
    Set lens index of refraction = 1.42672 ;a/E42eN;  
    Set pupil diameter = 4 `V1]k_h  
    DONE! s.rm7r@ #  
     
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