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简介 f1 _<G 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。 $W9{P; E8n)}[k!0 模型 ,;Hu=; D6Goa(!9d 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 H+ 0$tHi de;GrPLAi Table 1. AZ眼睛模型的定义 U9A~9"O 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. U]vYV J<dVTxK12 光源 >ey\jDr#O 8$ma;U d 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。 I9mvte ?$6Y2 B,@c;K 图1. 光源和提示信息使用 Qkd<sxL 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 IS#FiH :xh?eN& 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 bV$)!]V #P?6@\ 图2. 字母F光源的设定方法光 , 'ZD=4_ G_k~X" 图3. 字母F在视网膜上位置点列图 xgNJ eQ 视网膜的散射 L?Qg#YSd~ ])
rrG/3 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。 w[!^;# L.2/*H#
W'.s\e?gh 图4. 视网膜朗伯散射设定 bLQ ^fH4ww 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。 00SbH$SU _',prZ* Z6_N$Z.A 图5. 视网膜重点采样规格设定 DiEluA&w9 脚本 C_n9T{k DV\`Wv 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: t0nI ('LX, 6C-/`>m 图6. 用户对话框的创建与编辑 e=Z,
Jg 图7. 用户对话框编辑器 g|<]B$yN# 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 _jNj-)RB_ 余下的脚本计算与屈光度有关的所有参数。 q*7zx_ o %ix)8+Eb 分析 }p!HT6 tZ 3v
mjCm 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 F^5?\ :L1dyVA{ 图7. 字母F在视网膜上颜色分析 gOr%!QaF 脚本代码 HE'2"t[a 8 XICF Option Explicit 'Remove this to enable non-dimensioned variables to be used. Xy@7y[s] 9$Xu,y Dim entity As T_ENTITY mFSw@CC Dim op As T_OPERATION Yb/i{@AJ Dim mat As T_MODELMATERIAL GHsilba Dim A As Double t: IN,Kl4 Dim pupilDiam As Double
l"!Ko G7 Dim eID As Long )@L'wW Dim parID As Long <IC~GqXv Dim count As Integer A%^w^f Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 59!Fkd3 Dim tlens As Double, nlens As Double .h&
.K Dim curv As Double, conic As Double t\
7~S&z Dim ok As Long aS pWsT w^#L9i'v' Sub Main |6(ZD^w Fb4`| '用户输入对话框 m<w"T7 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 &CIVL#];e TextBox 220,21,40,21,.TextBox1 'default: 0 TP"1\O Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 L}FOjrN OKButton 40,91,90,21 K\$J4~EtG CancelButton 190,91,90,21 OzQ -7|m'J Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 13+<Q \ TextBox 220,49,40,21,.TextBox2 'default: 4 \N4
y< End Dialog _^'I Dim dlg As UserDialog 4lM8\Lr j8n4fv-)f ok = Dialog (dlg) gCN$} Vm df8[5 If ok=0 Then 'cancel button was pressed T<L^N+<,{N Print "Execution cancelled." hTEx]# ( End jU3Z*Z)zN End If l%`F&8K ?qX)ihe%k 'Assign accommodation and pupil diameter & use defaults if field left empty vi|R(& If dlg.TextBox1 = "" Then r)1'ePI" A = 0 'Default accommodation %uoQ9lD' Else h[?O+Z^ A = CDbl(dlg.TextBox1) OKP9CLg9
End If VL/|tL>E^ >(<ytn t= If dlg.TextBox2 = "" Then gi-Yqco pupilDiam = 4 'Default pupil diameter -YjA+XP Else UTSL pupilDiam = CDbl(dlg.TextBox2) dTL5-@ End If sU!6 hk C-?%uF Print " " 9Li%KOY Print "Accommodation = " & A & " Diopters" |8.(XsN Print "Pupil Diameter = " & pupilDiam & " mm" DwV4o^J:l <97d[/7i ' Calculate new parameters with accommodation cPl`2&p taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness c(/VYMJZ& @_"9D y Y% Rant = 12.0 - 0.4*A 'Radius of anterior lens Kv@eI$t5 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [Cb`{ )'hH^(Yu Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {w8 NN-n CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 'Vr$MaO d7&eLLx tlens = 3.767 + 0.04*A 'Lens thickness GCttXAto Maqf[
Vky nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /Ux*u# 1N\D5g3 'Adjust parameters to account for accommodation ~+H"
-+ ZZj~GQL(S '************************************************************************* t'~/$=9}
'Aqueous thickness (Position of Lens) N6T{ '************************************************************************* mrJQ# eID = FindFullName( "Geometry.Arizona Eye.Lens" ) /{{UP- GetCustomElement eID, entity jr /lk H Y ynMP parID = FindFullName( "Geometry.Arizona Eye" ) T?p`) X>I)~z}9# ' Delete any shift(s) in z e2+BWKaU count = 0 W{5:'9, While GetOperationCount(eID)>count bpkwn<7- GetOperation eID, count, op }%-t+Tf, If op.Type="ShiftZ" Then ycJg%]F*5 DeleteOperation eID,count ai'4_ count=count-1 Z Dhx5SL& End If Fa epDjY8 count=count+1 '&FjW-`"
G Wend ;c-3g] R|P_GN6> 'Set new shift in M('d-Q{B7L op.Type = "ShiftZ" 2T)sXB u op.val1 = taq hAqg Iu* op.parent = parID DOQc"+ AddOperation eID, op =l9T7az Print "Set aqueous humor thickness = " & taq-0.55 1mSaS4!"B 8CC/ BOe '************************************************************************* :+%Zh@u\ 'Radius and conic constant of anterior lens $>R(W=Q '************************************************************************* RkuuogZ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) UzKFf&-:;K GetConic eID, entity, curv, conic M0c9pE aVe/
gE SetConic eID, entity, 1/Rant, CCant kJ(A,s| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -#29xRPk {C^@Q"I '************************************************************************* ;50_0Mv;(: 'Radius and conic constant of posterior lens kzq29S '************************************************************************* jAND7&W eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) a45ss7 GetConic eID, entity, curv, conic gLL\F1|0x [WB{T3j SetConic eID, entity, 1/Rpost, CCpost ?G08[aNR Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost zQH]s?v Sg]
J7;] '************************************************************************* 8V$3b?] 'Lens thickness (Position of posterior lens surface) ~SjZk| '************************************************************************* pl V7+?G R<zG^m parID = FindFullName( "Geometry.Arizona Eye.Lens" ) JeY'8B S^f:`9ab9 ' Delete any z-shift(s) }'=h4yI count = 0 fMeZ]rb While GetOperationCount(eID)>count -qe bQv GetOperation eID, count, op 4S
L_-Hm. If op.Type="ShiftZ" Then 137Xl>nO DeleteOperation eID,count |*,jU;NI count=count-1 >!9h6BoGV End If Sd:.KRTu. count=count+1 c[0oh. Wend t]^_l$ );
6,H.v 'Set new z-shift _1jw=5^P\i op.Type = "ShiftZ" 8,o17}NY, op.val1 = tlens MFg'YA2/ op.parent = parID WwW^[k (X AddOperation eID, op *+8%kn`c Print "Set lens thickness = " & tlens PM4>ThQ hteOh#0{ '************************************************************************* G5{Ot>;*% 'Lens index of refraction 2W3W/> 2h '************************************************************************* y,<$X.>QO| eID = FindMaterial( "Lens" ) &.*uc|{ GetModelMaterial eID, mat ZM~`Gd9K0E 9B)lGLL}q mat.Nd = nlens H/+{e,SW" SetModelMaterial eID, mat v_sm Print "Set lens index of refraction = " & nlens 00M`%c/ D&*LBQ/K '************************************************************************* GM}C]MVD 'Pupil diameter n=`w9qajd '************************************************************************* {rPk3 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) n6d^>s9J Yjup 'Adjust pupil diameter (trimming volume inner hole) h39e)%x1 \8"QvC] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" p(7QAd4 `)[dVfxA ' Adjust pupil location to just in front of the lens yx0Q+Sm1: parID = FindFullName( "Geometry.Arizona Eye" ) rR!U; eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
H4skvIl count = 0 *fP(6e#G, While GetOperationCount(eID)>count (^H5EeGV{ GetOperation eID, count, op 4uX(_5#j If op.Type="ShiftZ" Then \$;~74} DeleteOperation eID,count
A1Q
+0 count=count-1 IT1PPm End If b~W)S/wF$P count=count+1 /Dw@d,&[ Wend ogeRYq,g op.Type = "ShiftZ" (/fT]6( op.val1 = taq-0.01 +t>XxYScx op.parent = parID 0VIZ=-e AddOperation eID, op 79z)C35~ >Zdi5')
5 Print "Set pupil diameter = " & pupilDiam d_iY&-gq/ SOH%Q_ 'Update AZ Eye subassembly Description l.7d$8'\ eID = FindFullName( "Geometry.Arizona Eye" ) sA\L7`2H GetEntity eID, entity ] SK[C"
S entity.Description = "Accommodation = " & A & "D" _[1^s$ SetEntity eID, entity ycjJbL(. S'?fJ. Update C<t RU5| Print "DONE!" +=,u jO: jvO3_Zt9 End Sub kr{) o
PaZ 如果屈光度是4,光瞳直径是4,则会输出如下数据: @,YlmX} JmjxGcG Accommodation = 4 Diopters %uEtQh[ Pupil Diameter = 4 mm !2tw, QM Set aqueous humor thickness = 2.81 c
`ud;lI Set anterior lens radius = 10.4 and conic constant = -2.375869 fqX~xp Set posterior lens radius = -4.424557 and conic constant = -3.081019 &9@gm--b: Set lens thickness = 3.927 !u%9;>T7 Set lens index of refraction = 1.42672 a hwy_\ Set pupil diameter = 4 &GU@8 DONE! 7(@(Hm {,F/KL^u (文章来源:讯技光电)
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