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    [技术]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: 2021-10-22
    简介 &G-#*OG  
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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。 5)d,G9  
    1V|< A  
    模型 R`@8.]cpPy  
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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。 @<D'-mMt  
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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. QKp+;$SE'  
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    光源 (dzH3_U  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 I~\O  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 {S5RK-ax  
    VHXI@UT*  
    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 A Gv!c($  
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    图2. 字母F光源的设定方法光 dT5J-70Fl  
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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 Jj2g5={  
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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。 0JmFQ ^g(  
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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。 9{_8cpm4  
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    图5. 视网膜重点采样规格设定
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    脚本 89hF )80  
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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: 4bP13f  
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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。 yC0C`oC  
    余下的脚本计算与屈光度有关的所有参数。 <^d!Vzr]  
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    分析 *6:v}#b[  
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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。 iJFr4o/R  
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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 j7K5SS_]  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. kW#S]fsfU  
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    Dim entity As T_ENTITY \Ke8W,)ew  
    Dim op As T_OPERATION ?N:B  
    Dim mat As T_MODELMATERIAL FC6xFg^  
    Dim A As Double +a|"{  
    Dim pupilDiam As Double Rv98\VD"  
    Dim eID As Long M|d={o9Hp  
    Dim parID As Long t{!/#eQC  
    Dim count As Integer fV 3r|Bp  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double =/[ltUKs:a  
    Dim tlens As Double, nlens As Double WP}ixcq#  
    Dim curv As Double, conic As Double LIF|bE9kd  
    Dim ok As Long F9-[%l  
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    Sub Main |pJC:woq  
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        '用户输入对话框 @<2d8ed  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^ oYPyk`9  
            TextBox 220,21,40,21,.TextBox1 'default: 0 FKC\VF  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 +=7:4LFOL  
            OKButton 40,91,90,21 o+NMA (  
            CancelButton 190,91,90,21 '_V #;DI  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ;J]25j]]  
            TextBox 220,49,40,21,.TextBox2 'default: 4 +]c/&Xo!  
        End Dialog ^5>s7SGB"  
        Dim dlg As UserDialog r4u z} jl{  
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        ok = Dialog (dlg) 3V?817&6z  
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        If ok=0 Then    'cancel button was pressed <?YA,"~  
            Print "Execution cancelled." %]!adro~  
            End Ql8bt77eI-  
        End If eJHp6)2  
    ?n.)&ZIx0  
        'Assign accommodation and pupil diameter & use defaults if field left empty b HE7yv [  
        If dlg.TextBox1 = "" Then xST4}Mb^f  
            A = 0           'Default accommodation -p`L% xj\  
        Else NgVR,G|1  
            A = CDbl(dlg.TextBox1) ?DPHo)w  
        End If v`x|]-/M&  
    =\Iu$2r`  
        If dlg.TextBox2 = "" Then _\\ -md:  
            pupilDiam = 4   'Default pupil diameter D<bI2  
        Else yzR=A%V8A  
            pupilDiam = CDbl(dlg.TextBox2) }^Gd4[(,g  
        End If Lg4YED9#  
    =xL)$DTg)  
        Print " " jZd}O C<  
        Print "Accommodation = " & A & " Diopters" uFG<UF  
        Print "Pupil Diameter = " & pupilDiam & " mm" L&kr{7q  
    9 |{%i$  
        ' Calculate new parameters with accommodation  w_Uh  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness XN#&NT{t}  
    ~jN'J+_$  
        Rant = 12.0 - 0.4*A                     'Radius of anterior lens n-J2/j  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens x GH1epf  
    ys8Q.oBv_`  
        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens U%>'"  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens 8AL\ST51x"  
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        tlens = 3.767 + 0.04*A                  'Lens thickness F PR`tE  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction fvqd'2 t  
    W2]TRO  
        'Adjust parameters to account for accommodation QA?oJ_}y  
    0 )}$^TV  
        '************************************************************************* 1/;o  
        'Aqueous thickness (Position of Lens) y 9L14  
        '************************************************************************* IRW^ok.'b!  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n?xTkkr0  
        GetCustomElement eID, entity [sy j#  
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        parID = FindFullName( "Geometry.Arizona Eye" ) RLVAT M5  
    pHC /(6?  
        ' Delete any shift(s) in z Da.G4,vLh  
        count = 0 8e&p\%1  
        While GetOperationCount(eID)>count )nfEQ)L;h}  
            GetOperation eID, count, op mJ5H=&Z  
            If op.Type="ShiftZ" Then skg|>R,kE  
                DeleteOperation eID,count nP3  E  
                count=count-1 pQa:pX  
            End If w7TJv4_  
            count=count+1 q7\Ovjs0  
        Wend d`y!cu2}  
    N ( Oyi  
        'Set new shift in ZDt?j   
        op.Type = "ShiftZ" `]i []|  
        op.val1 = taq zjl!9M!  
        op.parent = parID p3(2?UO!  
        AddOperation eID, op kmPYx)o  
        Print "Set aqueous humor thickness = " & taq-0.55 pUYM}&dX  
    eiVC"0-c}  
        '************************************************************************* pG3k   
        'Radius and conic constant of anterior lens ?C-Towo=i  
        '************************************************************************* vB\]u.  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]?+{aS-]?k  
        GetConic eID, entity, curv, conic 3gEMRy*+  
    nz]&a1"&  
        SetConic eID, entity, 1/Rant, CCant M@et6aud;K  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #5} wuj%5  
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        '************************************************************************* sD;M!K_  
        'Radius and conic constant of posterior lens (Z] HX@"{J  
        '************************************************************************* 8' DW#%  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Mkxi~p%<r  
        GetConic eID, entity, curv, conic p'_%aVm7  
    I:cg}JZ>|  
        SetConic eID, entity, 1/Rpost, CCpost o5U(i  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost zP\7S}p7%  
    fWnD\mx?0  
        '************************************************************************* \3f& 7wU  
        'Lens thickness (Position of posterior lens surface) "R>FqX6FB  
        '************************************************************************* RE2&mYt  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2_^aw[-  
    (t+;O;  
        ' Delete any z-shift(s) %EbPI)yY3  
        count = 0 ED>prE0  
        While GetOperationCount(eID)>count Pz*_)N}j >  
            GetOperation eID, count, op XRx+Dddt;  
            If op.Type="ShiftZ" Then fxaJZz$o  
                DeleteOperation eID,count "TyJP[/  
                count=count-1 +ZMls [  
            End If G 2bDf-1ew  
            count=count+1 *iBTI+"]  
        Wend Hmt^h(*/2  
    nn/?fIZN4  
        'Set new z-shift .IBp\7W!?E  
        op.Type = "ShiftZ" Ysq'2  
        op.val1 = tlens `]Fx.)C#  
        op.parent = parID EP'h@zdz  
        AddOperation eID, op S{pXs&4O  
        Print "Set lens thickness = " & tlens fWfk[(M'9  
    [qUN4x5b  
        '************************************************************************* klg25#t  
        'Lens index of refraction 6tHO!`}1  
        '************************************************************************* fZ04!R  
        eID = FindMaterial( "Lens" ) v\16RD  
        GetModelMaterial eID, mat 7w,FX.=;cv  
    3s\.cG?`r  
        mat.Nd = nlens 9{k97D/  
        SetModelMaterial eID, mat f`9 b*wV  
        Print "Set lens index of refraction = " & nlens dI&!e#Y  
    "Ve.cP,7(  
        '************************************************************************* 5pr"d@.  
        'Pupil diameter J;_}lF9d@  
        '************************************************************************* kpL@P oQ/r  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) :I -V_4b  
    `>0MNmu  
        'Adjust pupil diameter (trimming volume inner hole) fkf1m:Ckh  
    +zXEYc  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" *.L81er5~  
     N\:. M  
        ' Adjust pupil location to just in front of the lens ]f+ csB  
        parID = FindFullName( "Geometry.Arizona Eye" ) G'3qzBJ#  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) J)P$2#  
        count = 0 t`*!w|}(1  
        While GetOperationCount(eID)>count * #jsgj[  
            GetOperation eID, count, op m_?d=o  
            If op.Type="ShiftZ" Then _ZY)M  
                DeleteOperation eID,count 3"o"fl  
                count=count-1 }cT_qqw(f%  
            End If % K(<$!  
            count=count+1 nKW*Y}VO  
        Wend >:D j\"o  
        op.Type = "ShiftZ" !x!07`+^u  
        op.val1 = taq-0.01 [2"<W! p  
        op.parent = parID Q+g!V5'  
        AddOperation eID, op 6-?66g mT  
    me[DmiM,  
        Print "Set pupil diameter = " & pupilDiam :Ad &$e g+  
    sR/b$j>i3  
        'Update AZ Eye subassembly Description T&Lb<'f  
        eID = FindFullName( "Geometry.Arizona Eye" ) A.hd Kl  
        GetEntity eID, entity Cvn#=6V3  
        entity.Description = "Accommodation = " & A & "D" z9aY]lHY  
        SetEntity eID, entity N[kwO1  
    `rf_7  
        Update m0v:\?S:  
        Print "DONE!" PRz/inru-  
         ^Z:~91Tv-_  
    End Sub u_ABt?'  
    M5xCC!  
    如果屈光度是4,光瞳直径是4,则会输出如下数据: =Zi2jL?On  
    [Q=dC X9%  
    Accommodation = 4 Diopters fk_o@ G!0  
    Pupil Diameter = 4 mm {&"N%;`Q  
    Set aqueous humor thickness = 2.81 eImn+_ N3  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 [B+W%g(c-  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 `Od5Gh  
    Set lens thickness = 3.927 -jMJAYjV  
    Set lens index of refraction = 1.42672 c%=IL M4  
    Set pupil diameter = 4 aH^RoG}  
    DONE! 6`f2-f9%iq  
     
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