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简介 "+`u ] 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。 _akjgwu YwZx{%f 模型 &w`Ho)P O8v9tGZoh 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。 7B5b
+ XhWo~zh" Table 1. AZ眼睛模型的定义 1=9GV+`n 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. CK|AXz+EN 3 m-g- 光源 #)48dW!n O}2/w2n 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。 +R;LHRS% $T66%wX v_v>gPl, 图1. 光源和提示信息使用 8cMX=P 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 -k2|`t _ m#O; 1/P 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 (n2_HePE %BMlcm7Ec 图2. 字母F光源的设定方法光 GNB'.tJ:0Y B`3z(a92S 图3. 字母F在视网膜上位置点列图 -byaV;T?" 视网膜的散射 7PUy`H,& s`[V{1m, 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 I0x;rP ` l'QAIo O7.eq524 图4. 视网膜朗伯散射设定 ~ oq.y n/1 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 >zw@!1{1 lg ,% N:#$S$ 图5. 视网膜重点采样规格设定 e} 7!A 脚本 eAjR(\f> `C-8zA 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: -'WR9M?fq k
7@:e$7 图6. 用户对话框的创建与编辑 OR'e!{ 图7. 用户对话框编辑器 \LQZoD?W 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 YD9vWk\/ 余下的脚本计算与屈光度有关的所有参数。 [0kZyjCq@ 2VX9FDrnk 分析 x{So P%vouC0W 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K$:btWSm #u\~AO?h 图7. 字母F在视网膜上颜色分析 .A6pPRy e 脚本代码 IkA~+6UY Q[H4l({E Option Explicit 'Remove this to enable non-dimensioned variables to be used. K9VP@[zbJ =>Qd Dim entity As T_ENTITY 83# <Yxk~ Dim op As T_OPERATION 86?~N Dim mat As T_MODELMATERIAL k{lX K\zN Dim A As Double g_>E5z. Dim pupilDiam As Double )?l7I* Dim eID As Long |\|
v%`r2 Dim parID As Long Y<N#{)Q Dim count As Integer zJUT<%[U Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double a?Y> hvI Dim tlens As Double, nlens As Double gOE? Dim curv As Double, conic As Double meThjCC Dim ok As Long ~%
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e~,+rM Sub Main P+_1*lOG Wap\J7NY '用户输入对话框 XMxm2-%olP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T0b/txS TextBox 220,21,40,21,.TextBox1 'default: 0 P9S)7&+DL Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 GlJOb|WOX OKButton 40,91,90,21 Su
+<mW CancelButton 190,91,90,21 5UK}AkEe&x Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2'Kh>c2 TextBox 220,49,40,21,.TextBox2 'default: 4 x1Gc|K/- End Dialog @q@I(%_` Dim dlg As UserDialog KMl3`+i m?4HVv ok = Dialog (dlg) "dYT>w 3{ea~G)[9 If ok=0 Then 'cancel button was pressed N
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b Print "Execution cancelled." >*+n`"6 End c0X1})q$ End If Zba<|C *lheF>^ 'Assign accommodation and pupil diameter & use defaults if field left empty rCA0c8 If dlg.TextBox1 = "" Then zpNt[F?~1 A = 0 'Default accommodation 5;XU6Rz! Else c7tO'`q$e A = CDbl(dlg.TextBox1) GFnwj<V+{ End If 5~#oQ& tm_\( If dlg.TextBox2 = "" Then *rV{(%\m pupilDiam = 4 'Default pupil diameter D&],.N Else !SLfAFcS pupilDiam = CDbl(dlg.TextBox2) cb. -AlqQ End If =4!m]*y ^0(D2:E Print " " sYk#XNH Print "Accommodation = " & A & " Diopters" e%9zY{ABR% Print "Pupil Diameter = " & pupilDiam & " mm" /7.//klN y^
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T^ ' Calculate new parameters with accommodation aHitPPlq taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness nVP|{M 9sv#TT5V Rant = 12.0 - 0.4*A 'Radius of anterior lens .i#'IS0c CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens UZ:z|a3 4O{,oN~7 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <Y;w
I#C CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &v:[+zw :C&6M79k tlens = 3.767 + 0.04*A 'Lens thickness WK{F ezm*9Jc~p nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 6"r _Y7% f&Juq8s_0 'Adjust parameters to account for accommodation g<8Oezi 65 T w1&<S '************************************************************************* PT4iy< 'Aqueous thickness (Position of Lens) G) 37?A) '************************************************************************* <J}JYT eID = FindFullName( "Geometry.Arizona Eye.Lens" ) lpbcpB GetCustomElement eID, entity Z:,`hW*A6 nH+wU;M parID = FindFullName( "Geometry.Arizona Eye" ) [BEQ ~A_I w,<n5dMv ' Delete any shift(s) in z S.U#lAn( count = 0 x-q_sZ^8 While GetOperationCount(eID)>count og4mLoLA GetOperation eID, count, op fzN?X= If op.Type="ShiftZ" Then !bn=b>+ DeleteOperation eID,count sP>-k7K. count=count-1 <(45(6fQ End If +z~bH!$2 count=count+1 VwLo Wend .W\x{h 'W&ewZH_h 'Set new shift in r#J_;P{U op.Type = "ShiftZ" n<A<Xj08T9 op.val1 = taq ^--8
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n op.parent = parID ;[:IC^9fv AddOperation eID, op 6R#igLm Print "Set aqueous humor thickness = " & taq-0.55 60xL.Z -^< t%{d '************************************************************************* wF*9%K'E 'Radius and conic constant of anterior lens UhU"[^YO '************************************************************************* =8Z-ORW51 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #9HX"<5
GetConic eID, entity, curv, conic g6OPYUPg =9:gW5F69 SetConic eID, entity, 1/Rant, CCant 7T(&DOGZ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant S>s+ nqcP g$JlpD& '************************************************************************* A(n3<(O/{Z 'Radius and conic constant of posterior lens >H,E3Z '************************************************************************* sH%Ts@Pl eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) p?4,YV|# GetConic eID, entity, curv, conic CsjrQ-#9yn _9<Mo;C SetConic eID, entity, 1/Rpost, CCpost ~,x4cOdR# Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost KppYe9? 5?f!hB|6 '************************************************************************* \GZ|fmYn 'Lens thickness (Position of posterior lens surface) nL]eGC '************************************************************************* R.YUUXT w8`B}Dr23 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) x-b}S1@ y-~_ W 6\ ' Delete any z-shift(s) w,OPM}) il count = 0 Ou+b ce While GetOperationCount(eID)>count _SMi`ie# GetOperation eID, count, op <00=bZzX If op.Type="ShiftZ" Then tHr4/
DeleteOperation eID,count \:2z!\iP` count=count-1 @c).&7 End If E
*782> count=count+1 O.{ Wend |*l^<= = ('o}EoXS 'Set new z-shift J.]`l\ op.Type = "ShiftZ" b)r;a5"<5 op.val1 = tlens n"@){:{4? op.parent = parID Ny2bMj.o AddOperation eID, op 3jHE,5m Print "Set lens thickness = " & tlens uXb}oUC 8TTj<T!N '************************************************************************* qI<c47d;q 'Lens index of refraction a;\a>N4 '************************************************************************* O,#,` 2Qc eID = FindMaterial( "Lens" ) Q(4~r+ GetModelMaterial eID, mat o[q|dhrANh VLoRS) mat.Nd = nlens U
U#tm SetModelMaterial eID, mat sH]T1z Print "Set lens index of refraction = " & nlens ,V{Bpr }nSu7)3$B '************************************************************************* [&(~1C|C 'Pupil diameter S>jOVWB '************************************************************************* PzustC| eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) r~2q`l'> ";DozPU 'Adjust pupil diameter (trimming volume inner hole) cg9*+]rc *w}r:04F SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }ktK*4<k 9_~9?5PU ' Adjust pupil location to just in front of the lens N0N%~3 parID = FindFullName( "Geometry.Arizona Eye" ) qx*N-,M%k( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 9WV8ZP count = 0 hf;S#.k While GetOperationCount(eID)>count sejT] rJ GetOperation eID, count, op A=70UL If op.Type="ShiftZ" Then ,$RXN8x1 DeleteOperation eID,count (0rcLNk{| count=count-1 )}Cf6m} End If O'QnfpQ*9 count=count+1 j,z)x[3} Wend ?[%.4i;-h op.Type = "ShiftZ" r>.l^U9hJ op.val1 = taq-0.01 G&4D0f op.parent = parID _xnJfW_ AddOperation eID, op 5'%O]~ Yu9VtC1 Print "Set pupil diameter = " & pupilDiam fuWAw^& uA cvUN-@ 'Update AZ Eye subassembly Description S"`{ JCW$ eID = FindFullName( "Geometry.Arizona Eye" ) ~RZN+N GetEntity eID, entity bL{D*\HF entity.Description = "Accommodation = " & A & "D" Ds{bYK_y SetEntity eID, entity <vu~EY0. ++ObsWZ Update w{]B)>! 1W Print "DONE!" ZZc^~ B~,?Gbl+g End Sub 3K/]{ dkD l>J%Q^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: i~*6JB| Cv
p#=x0 Accommodation = 4 Diopters TJB4N$-}A Pupil Diameter = 4 mm ~{N#JOY}Z Set aqueous humor thickness = 2.81 UWdqcOr Set anterior lens radius = 10.4 and conic constant = -2.375869 `m$,8f%j6_ Set posterior lens radius = -4.424557 and conic constant = -3.081019 JIc9csr:b Set lens thickness = 3.927 `M- Set lens index of refraction = 1.42672 A5[kYD,_ Set pupil diameter = 4 >y!O_@>z DONE! A{\DzUV9, R@`xS<`L/ (文章来源:讯技光电)
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