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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 eSW}H_3  
    /nt%VLms %  
    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。 &4M,)Q (  
    !NKPy+v  
    模型 jCg4$),b  
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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。 G!Y7Rj WD  
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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. q'Y)Y(d  
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    光源 %T;VS-f  
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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。 jq|fI P  
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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。 ' (3|hh)Tl  
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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。 OPv~1h<[  
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    图2. 字母F光源的设定方法光 _Pl5?5eZj  
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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 rC,ZRFF  
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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。 mP_c-qD |  
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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。 `mN5sq  
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    图5. 视网膜重点采样规格设定
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    脚本 v0pev;C  
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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: jF{\=&fU  
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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。 <VT|R~  
    余下的脚本计算与屈光度有关的所有参数。 ~eekv5  
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    分析 TM,Fab &  
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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。 nYnv.5  
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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 }>'1Qg  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. vUJQ<D  
    ;n/04z  
    Dim entity As T_ENTITY ygqWy1C  
    Dim op As T_OPERATION Mqmy*m[U  
    Dim mat As T_MODELMATERIAL 'L veCi_  
    Dim A As Double 9XN/ w p  
    Dim pupilDiam As Double \U HI%1^  
    Dim eID As Long m Wh   
    Dim parID As Long vu_ u\2d  
    Dim count As Integer ]_:j+6i  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q::_i"?c  
    Dim tlens As Double, nlens As Double VCvFCyAz  
    Dim curv As Double, conic As Double jd}-&DN  
    Dim ok As Long 1u_< 1X3  
    OZ Hfd7K4A  
    Sub Main oP`Qyk  
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        '用户输入对话框 .J2tm2]"EZ  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %OT?2-d  
            TextBox 220,21,40,21,.TextBox1 'default: 0 <;zcz[~  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 >8w=Vlp  
            OKButton 40,91,90,21 [xl+/F7  
            CancelButton 190,91,90,21 %j;mDR9 5  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ko`KAU<T_  
            TextBox 220,49,40,21,.TextBox2 'default: 4 #Dl=K<I  
        End Dialog aHSl_[  
        Dim dlg As UserDialog N=TDywRI  
    s )7sgP  
        ok = Dialog (dlg) Y86 mg7[U/  
    Rj])c^ZA'*  
        If ok=0 Then    'cancel button was pressed ^wb$wtL('  
            Print "Execution cancelled." PsyXt5Dk  
            End ?0'db  
        End If aQL$?,  
    $/$ 5{<  
        'Assign accommodation and pupil diameter & use defaults if field left empty rLI );!^-  
        If dlg.TextBox1 = "" Then c7t .  
            A = 0           'Default accommodation ECLQqjB  
        Else Tu}?Q. pKo  
            A = CDbl(dlg.TextBox1) 3KN})*1  
        End If vQ1#Zg y  
    sx@ %3j  
        If dlg.TextBox2 = "" Then rHD_sC*  
            pupilDiam = 4   'Default pupil diameter '\/|K  
        Else fz W!-  
            pupilDiam = CDbl(dlg.TextBox2) e c4vX  
        End If ?m:,hI  
    #0 eop>O  
        Print " " U$=#yg2 :  
        Print "Accommodation = " & A & " Diopters" vALH!Kh  
        Print "Pupil Diameter = " & pupilDiam & " mm" Q<fDtf}  
    |)b:@q3k+n  
        ' Calculate new parameters with accommodation oO&R3zA1d  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness 9{XV=a v  
    )wfqGkr=m!  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens gEkH5|*Y  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens 9<-7AN}Z  
    ]seOc],4  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens \jHIjFwQ  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 6~!l7HqO  
    9?4:},FRmE  
        tlens = 3.767 + 0.04*A                  'Lens thickness _REAzxe S  
    P,={ C6*  
        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction t-VU&.Y  
    xw~3x*{  
        'Adjust parameters to account for accommodation L_Lhmtm}m  
    I9O%/^5^[w  
        '************************************************************************* p\ _&  
        'Aqueous thickness (Position of Lens) <@J0 770  
        '************************************************************************* )6:1`&6  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #Mrc!pT]xy  
        GetCustomElement eID, entity -5d^n\CDK  
    &^(4yw(~  
        parID = FindFullName( "Geometry.Arizona Eye" ) tDn:B$*}W,  
    Ula h!s  
        ' Delete any shift(s) in z F8d:7`lO@/  
        count = 0 Vl%UT@D|  
        While GetOperationCount(eID)>count Qk] ^]I  
            GetOperation eID, count, op g& ?{^4t]  
            If op.Type="ShiftZ" Then eR>|1s%^  
                DeleteOperation eID,count sz+%4T  
                count=count-1 w>TTu: 7  
            End If qcGsx2  
            count=count+1 G:i>MJbxT  
        Wend BY`vs+]XY  
    }}gtz-w  
        'Set new shift in s&F& *5W  
        op.Type = "ShiftZ" ^!*nhs%  
        op.val1 = taq cN%@ nW0i  
        op.parent = parID I T?~`vi  
        AddOperation eID, op K7=> o*p  
        Print "Set aqueous humor thickness = " & taq-0.55 EClx+tz;`  
    jAak,[~;  
        '************************************************************************* <KBS ;t="1  
        'Radius and conic constant of anterior lens )8*}-z  
        '************************************************************************* W=\45BJ  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kV@?Oj.&I,  
        GetConic eID, entity, curv, conic eNu]K,rT  
    6d/1PGB  
        SetConic eID, entity, 1/Rant, CCant U%rq(`;  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Fuy"JmeR  
    =[nuesP'  
        '************************************************************************* &.[I}KH|B  
        'Radius and conic constant of posterior lens =2e{T J/  
        '************************************************************************* <ZjT4><  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9NeHN@D)  
        GetConic eID, entity, curv, conic '9@AhiNV  
    7\[)5j  
        SetConic eID, entity, 1/Rpost, CCpost xv~Sk2Z+d  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =B0AG9Fz  
    RwUosh\W  
        '************************************************************************* K@tELYb  
        'Lens thickness (Position of posterior lens surface) *=X61`0  
        '************************************************************************* sQBKzvFO3  
    /p$+oA+  
        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) @K\ hgaQ  
    ti!kJ"q  
        ' Delete any z-shift(s) y 'Ah*h  
        count = 0 mjKu\7F  
        While GetOperationCount(eID)>count zx7A}rs3oX  
            GetOperation eID, count, op %>Mcme>(W  
            If op.Type="ShiftZ" Then oaG;i51!  
                DeleteOperation eID,count qyzH*#d=Cf  
                count=count-1 \1<8'at  
            End If TgA>(HcO  
            count=count+1 ){*9$486  
        Wend 'Lh nl3  
    .S[M: <<*  
        'Set new z-shift 4Q:r83#  
        op.Type = "ShiftZ" ~rlPS#]o  
        op.val1 = tlens #=N6[:,  
        op.parent = parID rlY n"3%  
        AddOperation eID, op QY c/f"9  
        Print "Set lens thickness = " & tlens @cc}[Uw4B  
    9Y+7o%6e  
        '************************************************************************* [*1:?mD$  
        'Lens index of refraction ;:/C.%d  
        '************************************************************************* -?w3j9kk>  
        eID = FindMaterial( "Lens" ) y+h/jEbM</  
        GetModelMaterial eID, mat sKC(xO@L;`  
    }kSP p  
        mat.Nd = nlens o_a'<7\#i  
        SetModelMaterial eID, mat kgd dq  
        Print "Set lens index of refraction = " & nlens 3hcWR'|  
    Mavid kS  
        '************************************************************************* #j'7\SV  
        'Pupil diameter Kx02 2rgDU  
        '************************************************************************* }Z)YK}_1  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M[cAfu  
    XZrzG P(  
        'Adjust pupil diameter (trimming volume inner hole) }=A+W2D  
    W&HxMi  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" =R*IOJ  
     PZj}]d `  
        ' Adjust pupil location to just in front of the lens ?}HZJ@:lB  
        parID = FindFullName( "Geometry.Arizona Eye" ) `aSbGMz  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4lI&y<F  
        count = 0 NR"C@3kD]o  
        While GetOperationCount(eID)>count A@Cvx7X  
            GetOperation eID, count, op r`i.h ^2De  
            If op.Type="ShiftZ" Then KQ0f2?  
                DeleteOperation eID,count F~/~_9RJ  
                count=count-1 WW-}c;cnK  
            End If $3xDjiBb  
            count=count+1 BwAmNW&i  
        Wend 9'p*7o  
        op.Type = "ShiftZ" :s1.TQ;Y(  
        op.val1 = taq-0.01 h6?o)Q>N  
        op.parent = parID 3xgU=@!;  
        AddOperation eID, op \F)WUIK  
    t ?05  
        Print "Set pupil diameter = " & pupilDiam 1Se2@WR'  
    VVfTFi<  
        'Update AZ Eye subassembly Description tMXNi\Bj  
        eID = FindFullName( "Geometry.Arizona Eye" ) O&sUPv  
        GetEntity eID, entity @2`nBtk  
        entity.Description = "Accommodation = " & A & "D" OS1f}<  
        SetEntity eID, entity &3SmTg %  
    c *i,z  
        Update ExF6y#Y G<  
        Print "DONE!" }"[/BT5t  
         QcX&q%*0  
    End Sub U G4I @@=  
    n4.\}%=z  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: "LH3ZPD  
    %3. np  
    Accommodation = 4 Diopters VxE;tJ>1  
    Pupil Diameter = 4 mm kOC0d,  
    Set aqueous humor thickness = 2.81 Pa"Kk9!o36  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 CZ>Ujw=&k  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 u95D0S  
    Set lens thickness = 3.927 M"-.D;sa1  
    Set lens index of refraction = 1.42672 ^1<i7u  
    Set pupil diameter = 4 - Rx;"J.H  
    DONE! &8I*N6p:%/  
     
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