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    [分享]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: 2020-12-09
    简介 a7zcIwk '{  
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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。 f"7O  "6  
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    模型 g8qgk:}  
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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。 &qp r*17T  
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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. +/,icA}PI  
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    光源 FuI73  
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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。 ) [0T16  
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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。 @1*ohdHH  
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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。 g?-lk5  
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    图2. 字母F光源的设定方法光 yFDv6yJ.  
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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 )* 4fzo  
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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。 'YNT8w/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。 T,| 1g6  
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    图5. 视网膜重点采样规格设定
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    脚本 w"R:\@ F  
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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: ^G6RjJxqp8  
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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。 iD<(b`S  
    余下的脚本计算与屈光度有关的所有参数。 &f&z_WU  
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    分析 rn<PR*  
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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。 gx%|Pgd  
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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 eImn+_ N3  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. #dM9pc jh  
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    Dim entity As T_ENTITY K)J(./  
    Dim op As T_OPERATION =$]uoA  
    Dim mat As T_MODELMATERIAL >nzdnF_&zW  
    Dim A As Double !?|Th5e   
    Dim pupilDiam As Double {mAU3x  
    Dim eID As Long o7|eMe?<t  
    Dim parID As Long % LJs  
    Dim count As Integer 5}`_x+$%(`  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double lV%N  
    Dim tlens As Double, nlens As Double ,_Z+8  
    Dim curv As Double, conic As Double OoWyPdC+P  
    Dim ok As Long iezO9`  
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    Sub Main EVoE szR  
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        '用户输入对话框 =Q.^c.sw  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 s0PrbL%_`  
            TextBox 220,21,40,21,.TextBox1 'default: 0 je!-J8{  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 v8y1b%  
            OKButton 40,91,90,21 >Q(3*d >  
            CancelButton 190,91,90,21 I :vs;-  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >uSy  
            TextBox 220,49,40,21,.TextBox2 'default: 4 KQ~i<1&j  
        End Dialog KN*  
        Dim dlg As UserDialog uvrB5=u  
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        ok = Dialog (dlg) y~FV2$  
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        If ok=0 Then    'cancel button was pressed uuQ(&  
            Print "Execution cancelled." ;cQ6g` bM\  
            End @7B$Yy#  
        End If Z4lO?S5%J  
    /Z$&pqs!  
        'Assign accommodation and pupil diameter & use defaults if field left empty rnF/H=I/  
        If dlg.TextBox1 = "" Then <kCU@SK  
            A = 0           'Default accommodation U-|NY  
        Else Z:*76PP,  
            A = CDbl(dlg.TextBox1) R00eisd  
        End If 1&- </G#  
    ;1a~pF S  
        If dlg.TextBox2 = "" Then -YCOP0  
            pupilDiam = 4   'Default pupil diameter -:na: Vsi  
        Else 6b:tyQ  
            pupilDiam = CDbl(dlg.TextBox2) 49vcoHlf  
        End If -q*i_r:,  
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        Print " " <>8WQn,K  
        Print "Accommodation = " & A & " Diopters" 9o+)?1\  
        Print "Pupil Diameter = " & pupilDiam & " mm" MgY0q?.S=  
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        ' Calculate new parameters with accommodation 'hs2RSq  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness TTKs3iTXz  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens PBp^|t]E>  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens lMBLIB]i  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens HbxL:~:}J  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens %;rHrDP(>  
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        tlens = 3.767 + 0.04*A                  'Lens thickness u4/kR  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction D`$hPYK|_  
    ;9c<K  
        'Adjust parameters to account for accommodation +>r/0b  
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        '************************************************************************* BYMi6wts  
        'Aqueous thickness (Position of Lens) i~{Ufi  
        '************************************************************************* |%' nVxc4r  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3yB!M  
        GetCustomElement eID, entity "\3B^ e,  
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        parID = FindFullName( "Geometry.Arizona Eye" ) GhIKvX_N  
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        ' Delete any shift(s) in z 9T*v9d  
        count = 0 HlH64w2^R  
        While GetOperationCount(eID)>count %y@Hh=  
            GetOperation eID, count, op {qN 5MsY  
            If op.Type="ShiftZ" Then ~1>.A(,=z  
                DeleteOperation eID,count U15H@h  
                count=count-1 :>Ay^{vf=  
            End If w.\&9]P3~  
            count=count+1 D?NbW @]  
        Wend LILQ\I<<'  
    ,"HL~2:~  
        'Set new shift in :(M(>4t  
        op.Type = "ShiftZ" vy\RcP  
        op.val1 = taq "-+\R}q$  
        op.parent = parID T-U}QM_e  
        AddOperation eID, op _t^{a]/H  
        Print "Set aqueous humor thickness = " & taq-0.55 oyYR-4m\  
    `wDl<[V  
        '************************************************************************* Yi$vg  
        'Radius and conic constant of anterior lens *U P@9D  
        '************************************************************************* ' <@3i[M  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7G/1VeVjB  
        GetConic eID, entity, curv, conic $3s@}vLd  
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        SetConic eID, entity, 1/Rant, CCant \uaJ @{Vug  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant % a@>_  
    V7Ek-2M  
        '************************************************************************* USM4r!x  
        'Radius and conic constant of posterior lens K*X_FJ  
        '************************************************************************* 0 g?z&?  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?'KL11@R  
        GetConic eID, entity, curv, conic d~JKH&x<  
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        SetConic eID, entity, 1/Rpost, CCpost \cUC9/ b  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost T^Ze3L]  
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        '************************************************************************* $ >u*} X9  
        'Lens thickness (Position of posterior lens surface) yL2o}ZbS  
        '************************************************************************* Jc|6&  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) \uza=e  
    no9;<]4  
        ' Delete any z-shift(s) ,Q HU_jt  
        count = 0 vJ-q*qM1  
        While GetOperationCount(eID)>count +i@y@<l:+  
            GetOperation eID, count, op d;>#Sxf  
            If op.Type="ShiftZ" Then 3< 2}V  
                DeleteOperation eID,count 'gTbA?+@5  
                count=count-1 2 -C!jAfd  
            End If --|Wh^i>?  
            count=count+1 .U?'i<  
        Wend h3z{(-~y  
    'i4_`^:+  
        'Set new z-shift w[I E  
        op.Type = "ShiftZ" S&b*rA02zp  
        op.val1 = tlens Q=/</|  
        op.parent = parID zhpt%7So  
        AddOperation eID, op o!{w"K  
        Print "Set lens thickness = " & tlens |ayVjqJ*  
    oBzfbg8p  
        '************************************************************************* {:]9Q Tq  
        'Lens index of refraction LRb{hUt=  
        '************************************************************************* s0k`p<q  
        eID = FindMaterial( "Lens" ) @M5#S7q";  
        GetModelMaterial eID, mat I~Zh@d%  
    ;I}kQ!q  
        mat.Nd = nlens y6[IfcN  
        SetModelMaterial eID, mat *Of4o  
        Print "Set lens index of refraction = " & nlens X@LRsg  
    < F`>,Pm  
        '************************************************************************* ~,5gUl?Il  
        'Pupil diameter }DK7'K  
        '************************************************************************* -1U D0(  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6u7?dG'4  
    b{]z w pf  
        'Adjust pupil diameter (trimming volume inner hole) Z^IPZF  
    /eOzXCSws  
        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]2\VweV  
    ] 0B2# d  
        ' Adjust pupil location to just in front of the lens ),ma_{$N  
        parID = FindFullName( "Geometry.Arizona Eye" ) j{9D{  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }7 c[Q($K  
        count = 0 |(q9"  
        While GetOperationCount(eID)>count Y<Fz)dQo  
            GetOperation eID, count, op A#95&kJpy  
            If op.Type="ShiftZ" Then 8_ tK4PwP  
                DeleteOperation eID,count #R.-KUW:  
                count=count-1 ( 8c9 /7h  
            End If kT'u1q$3Vo  
            count=count+1 Gq }U|Z  
        Wend ;o 0&`b?  
        op.Type = "ShiftZ" s#tZg  
        op.val1 = taq-0.01 !=:$lzS^  
        op.parent = parID TG+VEL |T  
        AddOperation eID, op k+8q{5>A<  
    yX0dbW~@y  
        Print "Set pupil diameter = " & pupilDiam < VSA  
    nEkR1^30  
        'Update AZ Eye subassembly Description zOa_X~!@  
        eID = FindFullName( "Geometry.Arizona Eye" ) x*nSHb  
        GetEntity eID, entity OC<5E121>Y  
        entity.Description = "Accommodation = " & A & "D" Hr]h J c  
        SetEntity eID, entity *Ie7{EhJ'  
    M#=] k  
        Update ?Vdia:  
        Print "DONE!" o)2W`i&  
         2g>SHS@1>  
    End Sub ,]cD  
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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: -cSP _1  
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    Accommodation = 4 Diopters p n.T~"%  
    Pupil Diameter = 4 mm *?Kr*]dnLl  
    Set aqueous humor thickness = 2.81 :E@3Vl#U  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 OI0;BBZ  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 ],J EBt  
    Set lens thickness = 3.927 |Clut~G  
    Set lens index of refraction = 1.42672 =<X?sj5  
    Set pupil diameter = 4 eQD)$d_5  
    DONE! isZAoYVu  
    }c}| $h^Y  
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    QQ:2987619807 (v}>tb*#`  
     
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