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简介 @XOi62( r3I,11B 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。 2w?G.pO# GH'O!} 模型 vW' 5` % b"8FlZ$ 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。 H?}wl% Fc0jQ@4= Table 1. AZ眼睛模型的定义 /BH.>R4`A 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. 015Owi a]1i/3/ 光源 ;mO,3dV 7unA"9=[4V 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。 ,VD6s!( gJ\%>r7h q|q::q* 图1. 光源和提示信息使用 p
q-!WQ 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。 '7nJb6V,0l FU@uH
U5fd 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。 &]nd!N
a'[)9: 图2. 字母F光源的设定方法光 L? ;/cO^ \;
bWh 图3. 字母F在视网膜上位置点列图 B-Y+F 视网膜的散射 ^now}u9S6 }(=ml7 )v 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。 |vy]8?Ak *1;23BiH- `=!p$hg($ 图4. 视网膜朗伯散射设定 jA2ofC 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。 ci7~KewJ* \ j]~>9 w67xl 图5. 视网膜重点采样规格设定 [&n|\! 脚本 K<,Y^3]6? Q=.g1$LP 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 0^>E`/ Za\RM[Z!I 图6. 用户对话框的创建与编辑 hZ#\t 图7. 用户对话框编辑器 GUCM4jVT^ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 v,\93mNp[ 余下的脚本计算与屈光度有关的所有参数。 R+^z y"~ Xr2J:1pgg 分析 `9EVB; P`!Ak@N 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 5}SXYA} pSrsp r 图7. 字母F在视网膜上颜色分析 3ExVZu$ 脚本代码 }9Qf #&o ~\bHfiIDy Option Explicit 'Remove this to enable non-dimensioned variables to be used. pU[K%@sC #! @m y Dim entity As T_ENTITY N K"%DU< Dim op As T_OPERATION IuWX*b`v Dim mat As T_MODELMATERIAL SbJh(V-pr Dim A As Double F25<+1kr Dim pupilDiam As Double 3qcpf: Dim eID As Long 9R:(^8P8 Dim parID As Long tD^a5qPh Dim count As Integer (v|`LmV Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 8a!2zwUBV Dim tlens As Double, nlens As Double %9YA^ri Dim curv As Double, conic As Double u p~@?t2 Dim ok As Long MZiF];OY agTK= Sub Main a?\ `
HtS#_y%( '用户输入对话框 @YrGyq Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9>zDJx TextBox 220,21,40,21,.TextBox1 'default: 0 |Qq+8IeYG Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 j5A\y^Kv OKButton 40,91,90,21 Q5T(nEA CancelButton 190,91,90,21 DUPmq!A Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k^yy$^=< TextBox 220,49,40,21,.TextBox2 'default: 4 SJF 2k[da End Dialog (77Dif0)' Dim dlg As UserDialog TQ2i{e %SFw~%@3&~ ok = Dialog (dlg) 6<Be#Y]b :!hk~#yvJ9 If ok=0 Then 'cancel button was pressed '&{(:,!B Print "Execution cancelled." 9Iy[E,j End l85CJ+rg End If @hBx,`H^ MSFNw 'Assign accommodation and pupil diameter & use defaults if field left empty ~CJYQFt If dlg.TextBox1 = "" Then ;p .j A = 0 'Default accommodation @]yQJuXA&Z Else !zl/0o A = CDbl(dlg.TextBox1) q2D`1nT End If <|wmjW/D @)06\h If dlg.TextBox2 = "" Then DvU~%%(0^ pupilDiam = 4 'Default pupil diameter r$Kh3EEF`E Else hiT9H5 6> pupilDiam = CDbl(dlg.TextBox2) @D2`*C9 End If (2 mS v bwT"$Ee Print " " %{c2lyw Print "Accommodation = " & A & " Diopters" H?ieNXP7{ Print "Pupil Diameter = " & pupilDiam & " mm" 8g&uE*7N l'P[5'. ' Calculate new parameters with accommodation WJP`0f3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness mfUKHX5 >E{#HPpBi Rant = 12.0 - 0.4*A 'Radius of anterior lens V}p*HB@: CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens C3^X1F0 $d5&~I Rpost = -5.224557 + 0.2*A 'Radius of posterior lens X6n|Xq3k CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $K;_Wf if\k[O 1T6 tlens = 3.767 + 0.04*A 'Lens thickness A/r;;S)%2 T9,lblUQ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ;o&_:]S ZD
iW72&Q 'Adjust parameters to account for accommodation !<JG&9ODP R?i-"JhW '************************************************************************* <$Xn:B<H 'Aqueous thickness (Position of Lens) ntd
":BKi '************************************************************************* #IcT
@( eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >0[qi1 GetCustomElement eID, entity ^2P;CAjj-
9$}+-Z parID = FindFullName( "Geometry.Arizona Eye" ) p=je"{ (2&K(1.Y ' Delete any shift(s) in z JT}dor count = 0 im_0ur&' While GetOperationCount(eID)>count \["1N-q b GetOperation eID, count, op B]CS2LEqh If op.Type="ShiftZ" Then %DHP DeleteOperation eID,count ;L MEU_ count=count-1 .l" _K End If LKoM\g( count=count+1 Xb8:*Y1' Wend C: TuC5Sr ZnxOa 'Set new shift in `3H?*\<( op.Type = "ShiftZ" 7zi^{] op.val1 = taq Ji)a%j1V9 op.parent = parID %t(, *; AddOperation eID, op c>%z)uY>/ Print "Set aqueous humor thickness = " & taq-0.55 rYP8V
> oC;l5v< '************************************************************************* rmAP&Gw I 'Radius and conic constant of anterior lens '{1W)X '************************************************************************* gGceK^# eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >(YPkmH GetConic eID, entity, curv, conic &)/H?S;yN \^^hG5f SetConic eID, entity, 1/Rant, CCant P,LXZ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant xw/h~:NT O=9V X '************************************************************************* l)2HHu< 'Radius and conic constant of posterior lens jn#N7%{Mk '************************************************************************* !F}J+N=} eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7m@^=w GetConic eID, entity, curv, conic }(hYG"5 ~]D\&D9=? SetConic eID, entity, 1/Rpost, CCpost "m\UqQGX Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost bsmoLT {{#a%O '************************************************************************* @[Jt~v 'Lens thickness (Position of posterior lens surface) dk,
I?c& '************************************************************************* QL|:(QM _mq*j^u,j parID = FindFullName( "Geometry.Arizona Eye.Lens" ) S{r)/~/ *X=f ' Delete any z-shift(s) a5Acqa count = 0
xaq=?3QOH While GetOperationCount(eID)>count \!4ghev3 GetOperation eID, count, op au9Wo<mR If op.Type="ShiftZ" Then &t=>:C$1Y DeleteOperation eID,count J 6d n~nPK count=count-1 Duo#WtC
End If D2wgSrY count=count+1 qS[p|*BL Wend cq+M
*1; th>yi)m 'Set new z-shift >t6'8g"T op.Type = "ShiftZ" \Lh<E5@] op.val1 = tlens 1rzq$, O op.parent = parID ."#jN><t AddOperation eID, op I!
eSJTN Print "Set lens thickness = " & tlens U*Q5ff7M6" r~BQy' '************************************************************************* L)//-
k9 'Lens index of refraction B}xo|:f!zj '************************************************************************* gQcr'[[a eID = FindMaterial( "Lens" ) DF&jZ[## GetModelMaterial eID, mat :e9jK[)h0 O|g!Y( mat.Nd = nlens 7=ga_2 SetModelMaterial eID, mat RAkFgC~ Print "Set lens index of refraction = " & nlens do?n /<@o <raqp Oo& '************************************************************************* t>=y7n&q 'Pupil diameter HjY-b*B '************************************************************************* :+V1682u eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) g>oYEFFJ 5Vm}<8{ 'Adjust pupil diameter (trimming volume inner hole) +cOI`4`$ :DF4g= SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" nO7o7bc u5)A+.v ' Adjust pupil location to just in front of the lens aw@Aoq parID = FindFullName( "Geometry.Arizona Eye" ) 4lKbw4[a eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "5DAGMU count = 0 Q Fqv,B\< While GetOperationCount(eID)>count :?XHZ GetOperation eID, count, op V6!73 iY If op.Type="ShiftZ" Then 0FR%<u DeleteOperation eID,count e~~k}2~ count=count-1 s&_O2(l End If *9:6t6x count=count+1 %T*+t"\) Wend HyYQQ op.Type = "ShiftZ" L$kAe1 V^m op.val1 = taq-0.01 =y(YMWGS op.parent = parID Ch!Q? 4 AddOperation eID, op KI QBY!N+ }8]uZ)[p= Print "Set pupil diameter = " & pupilDiam (C_o^_I: h
swMy 'Update AZ Eye subassembly Description (cew:z
H eID = FindFullName( "Geometry.Arizona Eye" ) (tz]!Aa{s GetEntity eID, entity #CP, \G entity.Description = "Accommodation = " & A & "D" Wjk;"_"gd SetEntity eID, entity F`}w0=-*( umrI4.1c Update s!!t Print "DONE!" p. ~jo E4@fP]R+ End Sub ;p"XCLHl BW\5RIWwE5 如果屈光度是4,光瞳直径是4,则会输出如下数据: ;=
@-j@? ;{7lc9uRj Accommodation = 4 Diopters j/IZm)\ Pupil Diameter = 4 mm zLK
~i>aW Set aqueous humor thickness = 2.81 m9 5$V& Set anterior lens radius = 10.4 and conic constant = -2.375869 toZI.cSg4 Set posterior lens radius = -4.424557 and conic constant = -3.081019 3E@&wpj Set lens thickness = 3.927 &rWJg6/ Set lens index of refraction = 1.42672 nt`l6b Set pupil diameter = 4 T.dO0$,Q@$ DONE! Kd1\D!#!6 )Bvu[rUy !D5`8 QQ:2987619807 E4ee_`p
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