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简介 $XzlW=3y 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Lr]Hvd (4gQe6tA 模型 U0=zuRr n \{^yB4F_Z 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 tWy<9TF hndRgCo Table 1. AZ眼睛模型的定义 23?0'AU 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. mAERZ<I v[=E f 光源 rm;"98~zJ? Tm,L?Jh 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 833t0Ml1A/ = nN*9HRD 8?R_O}U 图1. 光源和提示信息使用 yM ~D.D3H 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 4B,A+{3yL {N`<e>A]{ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 + {dIs tXuxTVhoT 图2. 字母F光源的设定方法光 ;'+cT.cmH qf {B 图3. 字母F在视网膜上位置点列图 =5#Jsn?U 视网膜的散射 gx.]4v *g}&&$b0 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。 G+p>39P :cz]8~i\ j ZafwBi 图4. 视网膜朗伯散射设定 jv^L~<u 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。 !~kzxY a-hGpYJJG I8:&Btf 图5. 视网膜重点采样规格设定 cC]1D*Bn 脚本 WHT%m|yn 2$UR"P 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: +5\\wGo< >C66X?0cd 图6. 用户对话框的创建与编辑 ^!tI+F{n{ 图7. 用户对话框编辑器 S?tLIi/ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 QQcj"s 余下的脚本计算与屈光度有关的所有参数。 9D21e(7X Hvk?(\x 分析 U$Z}<8 N/=3Bs0y- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |g!#
\ F4{<;4N0 图7. 字母F在视网膜上颜色分析 H|O}Dsj 脚本代码 vRs5-T hgltD8, Option Explicit 'Remove this to enable non-dimensioned variables to be used. U0T N8O}Z A4x3TW? Dim entity As T_ENTITY b>EUa> h Dim op As T_OPERATION EC/R|\d?Un Dim mat As T_MODELMATERIAL Uc2#so$9 Dim A As Double RkM! BcB Dim pupilDiam As Double bc-)y3gHU Dim eID As Long m8'1@1d| Dim parID As Long b5R*] Dim count As Integer *@^0xz{\z Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j+/*NM_y3 Dim tlens As Double, nlens As Double }IL@j A Dim curv As Double, conic As Double }lVUa{ubf Dim ok As Long aoS1Yt'@ G.T1rUh= Sub Main .EwK>ro4 7a net '用户输入对话框 ?CDq^)T[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }XU- JAn TextBox 220,21,40,21,.TextBox1 'default: 0 PMcyQ2R-> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 f'S"F OKButton 40,91,90,21 l<?wB|1' CancelButton 190,91,90,21 "
cg>g/ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cO9Aw ! TextBox 220,49,40,21,.TextBox2 'default: 4 7(Kc9sJC%% End Dialog WTx;,TNG Dim dlg As UserDialog ":ycyN@g EK_^#b ok = Dialog (dlg) J;dFmZOk #4>F%_ If ok=0 Then 'cancel button was pressed dGe Print "Execution cancelled." &@+;]t End \mloR
' End If +L6d$+ AP%h!b5v 'Assign accommodation and pupil diameter & use defaults if field left empty ;Lu|fQ#u* If dlg.TextBox1 = "" Then \ :.p8` A = 0 'Default accommodation b8&9pLl Else /Y:Zqk3 A = CDbl(dlg.TextBox1) p20Nk$. End If O/Vue `u-Y 5mY If dlg.TextBox2 = "" Then :|Cf$2k7 pupilDiam = 4 'Default pupil diameter |a+8-@-Tj Else WyP1"e^9 pupilDiam = CDbl(dlg.TextBox2) 2X`M&)"X End If |wx1
[xZ {;U:0BPI3 Print " " :nI.Qa'"H Print "Accommodation = " & A & " Diopters" 2ip~qZNw>< Print "Pupil Diameter = " & pupilDiam & " mm" *6L^A`_1] @Klj!2cv$ ' Calculate new parameters with accommodation Eh+lLtZ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness =RA6 p `0D+x Rant = 12.0 - 0.4*A 'Radius of anterior lens gQ~4udla. CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens @p;4g_F l}x{.q7Ul Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Iu8=[F> CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !k:j+h/ jolCR-FDu tlens = 3.767 + 0.04*A 'Lens thickness Ts\7)6|F SzgVvmM} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction @,]v'l!u TR |; /yJ 'Adjust parameters to account for accommodation e(Verd:c #qWEyb2UZ '************************************************************************* qF?S[Z; 'Aqueous thickness (Position of Lens) (_* a4xGF '************************************************************************* MEu-lM7v eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (\j<`"n GetCustomElement eID, entity vd~O:=)4 !E%!, parID = FindFullName( "Geometry.Arizona Eye" ) 39"'Fz?1 bpkn[K"( ' Delete any shift(s) in z J [1GP_ count = 0 B?jF1F!9 While GetOperationCount(eID)>count ;.Kzc3yz} GetOperation eID, count, op rO
NLbrj If op.Type="ShiftZ" Then q~qig,$Y DeleteOperation eID,count \vI_%su1N count=count-1 A)xI.Q6 End If =xgW$c/yB count=count+1 }~7>S5 Wend }V 1sY^C .D :v0Zm}m 'Set new shift in PSRGlxdO op.Type = "ShiftZ" -$7Jc=:> op.val1 = taq @wo9;DW` op.parent = parID 4AGc2e'u AddOperation eID, op X@arUs7 Print "Set aqueous humor thickness = " & taq-0.55 :!%oQQO A#T;Gi '************************************************************************* @t_<oOI2 'Radius and conic constant of anterior lens .m<-)Kx '************************************************************************* oR+Fn}mG eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) p'H5yg3h GetConic eID, entity, curv, conic 7l?=$q>k" ^3el-dZ SetConic eID, entity, 1/Rant, CCant "PX~Yc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <a'j8pw9i 62W3W1: W '************************************************************************* 6)W9/V-W 'Radius and conic constant of posterior lens A3Su&0uaB '************************************************************************* PgVM>_nHk eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Iv{}U\ u GetConic eID, entity, curv, conic lU\|F5O@# ]Y3ALQr! SetConic eID, entity, 1/Rpost, CCpost u",
[ulP Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost }RD,JgmV "MyYu}AD '************************************************************************* 4-m}W;igu 'Lens thickness (Position of posterior lens surface) `aCcTs7~]p '************************************************************************* QPBf++| tvd/Y|bV= parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Ar|_UV>Zf m^TkFt<BM ' Delete any z-shift(s) }+SnY8A=KZ count = 0 [ P
8e=; While GetOperationCount(eID)>count c0tv!PSw GetOperation eID, count, op vZ*593C8 If op.Type="ShiftZ" Then o<x2,uT DeleteOperation eID,count Z!*Wn`d-k count=count-1 9;:Lf End If ?A]:`l_" count=count+1 b6#V0bDXHD Wend `AYHCn Jr#ptf"Wu 'Set new z-shift grv 3aa@ op.Type = "ShiftZ" ZVI.s U op.val1 = tlens {Bu^%JEn op.parent = parID uHy^ Bq AddOperation eID, op CnJO]0Op3 Print "Set lens thickness = " & tlens zV%U4P)Dao T@X!vCjf6 '************************************************************************* J.~$^-&! 'Lens index of refraction @*F
NWT6 '************************************************************************* [IiwpC eID = FindMaterial( "Lens" ) n`}vcVL; GetModelMaterial eID, mat si)920?E& =T9QmEBm mat.Nd = nlens YrA#NTB_o SetModelMaterial eID, mat Zpg$:Rr Print "Set lens index of refraction = " & nlens uQrD}%GI ~Q5L)}8N '************************************************************************* e;,D! 'Pupil diameter `NrxoU= '************************************************************************* o ;.j_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) CmM K\R. )~rN{W<s`H 'Adjust pupil diameter (trimming volume inner hole) k|1/gd5 mL ]zkD_ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ga VWfG 9=Y-w s ' Adjust pupil location to just in front of the lens }VdohX- parID = FindFullName( "Geometry.Arizona Eye" ) tZwZZ0]Z eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `5Q0U%`W count = 0 vTN$SgzfCU While GetOperationCount(eID)>count UZ v^3_,qz GetOperation eID, count, op }~yhkt5K If op.Type="ShiftZ" Then !\2Xr{f DeleteOperation eID,count V{ECDgP count=count-1 B xq(+^T End If GVe[)R count=count+1 +wr2TT~ Wend pGzzv{H op.Type = "ShiftZ" f8!*4Bw op.val1 = taq-0.01 F:1w%#6av op.parent = parID /{^Qup AddOperation eID, op YqrieDFay! gm\P`~+o Print "Set pupil diameter = " & pupilDiam DhYQ>Gv8U V!(Ty%7 'Update AZ Eye subassembly Description Z-.`JkKd8 eID = FindFullName( "Geometry.Arizona Eye" ) K#kU6/ GetEntity eID, entity gYw4YP0Gz entity.Description = "Accommodation = " & A & "D" `~F= SetEntity eID, entity +g>)Bur a)/!ifJ; Update 0ERA(=w5 Print "DONE!" a^>0XXr}Y O'*KNJX End Sub =a$7OV. ?zM]p"M 如果屈光度是4,光瞳直径是4,则会输出如下数据: B;@7 )OS^tG[= Accommodation = 4 Diopters +:+q,0~*] Pupil Diameter = 4 mm =`Pgo5A Set aqueous humor thickness = 2.81 1
\:5ow&a Set anterior lens radius = 10.4 and conic constant = -2.375869 TFjb1a,) Set posterior lens radius = -4.424557 and conic constant = -3.081019 ozy~`$;c Set lens thickness = 3.927 :q/%uca9 Set lens index of refraction = 1.42672 <k+dJ=f Set pupil diameter = 4 a6cq0g[# z DONE! T%B&HsH Ru9QQaHE (文章来源:讯技光电)
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