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    [分享]Arizona眼睛模型 [复制链接]

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    只看楼主 正序阅读 楼主  发表于: 2020-12-09
    简介 S w "|iBZ@  
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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。 Cqa3n[Mhw1  
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    模型 1>;6x^_h0S  
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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 P  
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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. `\e'K56W6  
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    光源 2<m Q,,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。 i6A$1(:h  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 oE5;|x3  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 *V<)p%l.  
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    图2. 字母F光源的设定方法光 x' ?.~  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 Ga?UHw~  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 rr>IKyI'  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ^X$ I=ro  
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    图5. 视网膜重点采样规格设定
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    脚本 |<'10  
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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: @X|ok*v`  
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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。 Y0rf9  
    余下的脚本计算与屈光度有关的所有参数。 H]U "+52h  
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    分析 2"zIR (  
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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。 F61 +n!%8  
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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 fO0- N>W'P  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. |%n|[LP'  
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    Dim entity As T_ENTITY rffVfw  
    Dim op As T_OPERATION ER/\ +Z#Z  
    Dim mat As T_MODELMATERIAL T3 =)F%  
    Dim A As Double W&Y4Dq^  
    Dim pupilDiam As Double Ni&,g  
    Dim eID As Long bx1G CD  
    Dim parID As Long :U7;M}0  
    Dim count As Integer kg zwlKK  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double )x y9X0  
    Dim tlens As Double, nlens As Double "tpvENz2s  
    Dim curv As Double, conic As Double n (9F:N  
    Dim ok As Long H 3W_}f  
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    Sub Main W=q?tD~V  
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        '用户输入对话框 )kFme=;  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 gGF$M `  
            TextBox 220,21,40,21,.TextBox1 'default: 0 *sIi$1vHu  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 v\J!yz  
            OKButton 40,91,90,21 7$;c6_se  
            CancelButton 190,91,90,21 ;]|m((15G  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Kv(Y }  
            TextBox 220,49,40,21,.TextBox2 'default: 4 D 86 K$IT  
        End Dialog ]%b0[7[  
        Dim dlg As UserDialog ER0TY,  
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        ok = Dialog (dlg) ,q{lYX83S  
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        If ok=0 Then    'cancel button was pressed V*0Y_T{_  
            Print "Execution cancelled." B(HNB\3u  
            End = .fc"R|<K  
        End If F[Qsv54  
    \mqhugy  
        'Assign accommodation and pupil diameter & use defaults if field left empty vbW\~xf  
        If dlg.TextBox1 = "" Then :==UDVP  
            A = 0           'Default accommodation fo/(()  
        Else Lqy|DJ%  
            A = CDbl(dlg.TextBox1) &Z#Vw.7U  
        End If r%O rH-T  
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        If dlg.TextBox2 = "" Then oXu~9'm$  
            pupilDiam = 4   'Default pupil diameter "a2H8x  
        Else +z{x 7  
            pupilDiam = CDbl(dlg.TextBox2) Ktj(&/~}  
        End If %a%+!wX0x  
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        Print " " 2nOe^X!*  
        Print "Accommodation = " & A & " Diopters" )AZ`R8-A  
        Print "Pupil Diameter = " & pupilDiam & " mm" oZ|{J  
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        ' Calculate new parameters with accommodation ?,A8  fR  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness B$iMU?B3  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens &k {t0>  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens nJnO/~|  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens pJ<)intcbE  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens qCv}+d)  
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        tlens = 3.767 + 0.04*A                  'Lens thickness 2l;ge>D J  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction oQE_?">w  
    7ipY*DT8  
        'Adjust parameters to account for accommodation ?L.p9o-S0  
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        '************************************************************************* aG8;,H=%,  
        'Aqueous thickness (Position of Lens) 2n\i0?RD  
        '************************************************************************* O>{t}6o  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) D0"yZp}  
        GetCustomElement eID, entity JN9HT0  
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        parID = FindFullName( "Geometry.Arizona Eye" ) *HfW(C$  
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        ' Delete any shift(s) in z <{P^W;N7  
        count = 0 c'VtRE# z~  
        While GetOperationCount(eID)>count t2U]CI%  
            GetOperation eID, count, op D(2kb  
            If op.Type="ShiftZ" Then NC#kI3{  
                DeleteOperation eID,count ^U|CNB%.  
                count=count-1 m78MWz]Yo  
            End If knj,[7uh  
            count=count+1 Y=#mx3.  
        Wend ~vvQz"  
    (*@~HF,t=  
        'Set new shift in 7kew/8-  
        op.Type = "ShiftZ" &dHm!b  
        op.val1 = taq +P<w<GfQ  
        op.parent = parID }G0.Lq+a  
        AddOperation eID, op L< nkI  
        Print "Set aqueous humor thickness = " & taq-0.55 )y [[Se  
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        '************************************************************************* D=Yag!1  
        'Radius and conic constant of anterior lens ~N+/ZVo&y  
        '************************************************************************* 2&G1Q'!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) uR[PKLh  
        GetConic eID, entity, curv, conic #h|,GvmF<b  
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        SetConic eID, entity, 1/Rant, CCant "Ezr-4  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "=0 lcb C  
    9 h{:!  
        '************************************************************************* +xu/RY_  
        'Radius and conic constant of posterior lens ^#6%*(D  
        '************************************************************************* Yi! >8  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) D -\'P31  
        GetConic eID, entity, curv, conic 8Nl|\3nl-  
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        SetConic eID, entity, 1/Rpost, CCpost qCFXaj   
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost d$C|hT  
    ;),O*Z|"v  
        '************************************************************************* 0jx~_zq-j  
        'Lens thickness (Position of posterior lens surface) OrqJo!FEg{  
        '************************************************************************* 8f`b=r(a>  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1*Fvx-U'  
    8=_| qy}l/  
        ' Delete any z-shift(s) kl<B*:RqH  
        count = 0 b "3T(#2<*  
        While GetOperationCount(eID)>count JnKbd~  
            GetOperation eID, count, op }R] }@i~i  
            If op.Type="ShiftZ" Then i{x0#6_Y  
                DeleteOperation eID,count 9tW.}5V  
                count=count-1  B*~Bm.  
            End If _WkcJe`  
            count=count+1 NCh(-E  
        Wend V5^b6$R@  
    &_x/Dzu!z  
        'Set new z-shift y5tAp  
        op.Type = "ShiftZ" CjukD%>sde  
        op.val1 = tlens C36.UZoc  
        op.parent = parID K*i1! "w  
        AddOperation eID, op rH_:7#.E  
        Print "Set lens thickness = " & tlens 4oEq,o_  
    ~m=%a  
        '************************************************************************* !`Yi{}1_  
        'Lens index of refraction ^+l\YB7pD  
        '************************************************************************* w*R-E4S?2  
        eID = FindMaterial( "Lens" ) qc4 "0Ap'  
        GetModelMaterial eID, mat $}c@S0%P"  
    (dprY1noC  
        mat.Nd = nlens = 8e8!8  
        SetModelMaterial eID, mat .F$AmVTN  
        Print "Set lens index of refraction = " & nlens #$^i x  
    aI#n+PW  
        '************************************************************************* _+Kt=;Y8  
        'Pupil diameter )h!l%72  
        '************************************************************************* 1X}Tp\e  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) wLp t2b8S  
    V.[#$ip6:  
        'Adjust pupil diameter (trimming volume inner hole) P+|8MT0  
    %YAiSSsV  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" NjyIwo0  
    ; SM^  
        ' Adjust pupil location to just in front of the lens ) CTM  
        parID = FindFullName( "Geometry.Arizona Eye" ) aw~EK0yU   
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) :pu{3-n.  
        count = 0 ;l4 \^E1  
        While GetOperationCount(eID)>count "4AQpD  
            GetOperation eID, count, op ._nKM5.  
            If op.Type="ShiftZ" Then IbaL.t\>  
                DeleteOperation eID,count BfLZ  
                count=count-1 3^UsyZS)  
            End If dct#E CT  
            count=count+1 >Ga1p'8FtU  
        Wend <vuX " 8  
        op.Type = "ShiftZ" io'Ovhf:  
        op.val1 = taq-0.01 V-r<v1}M  
        op.parent = parID W)~.o/;  
        AddOperation eID, op C7_T]e<  
    0>MI*fnY"  
        Print "Set pupil diameter = " & pupilDiam Bb"4^EOZ,  
    F7l:*r,O  
        'Update AZ Eye subassembly Description ?C2;:ol  
        eID = FindFullName( "Geometry.Arizona Eye" ) bD-Em#>  
        GetEntity eID, entity A+DYIS  
        entity.Description = "Accommodation = " & A & "D" eV%bJkt.  
        SetEntity eID, entity itgO#(g$Q  
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        Update nv{4 U}&P  
        Print "DONE!" 1 *CWHs  
         3) 0~:  
    End Sub AAY UXY!  
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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: %.U{):lNx  
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    Accommodation = 4 Diopters ^eRT8I  
    Pupil Diameter = 4 mm ,RO(k4  
    Set aqueous humor thickness = 2.81 XOU$3+8q5  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 ='>UKy[=  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,O!aRvzap  
    Set lens thickness = 3.927 fMaNv6(  
    Set lens index of refraction = 1.42672 ,quTMtk~  
    Set pupil diameter = 4 PtOnj)Q  
    DONE! R  |%  
    *b_54X%3  
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    QQ:2987619807 :L0W"$  
     
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