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简介 2(5wFc $Z+N* w~8 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 n1y#gC 4oT25VH 模型 [k@D}p
x I =qd\ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 @-kzSm G&/}P$ Table 1. AZ眼睛模型的定义 m3F.-KPO 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. =XQ3sk6U <Sm=,Sw 光源 3yr{B Xn >f'nl 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。 V F6OC4 K &ad9VB7 H^K(1
图1. 光源和提示信息使用 qoB 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^}()H62} 6\\B{%3R2 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。 _AI2\e OZ![9l 图2. 字母F光源的设定方法光 V/"0'H\"1 ItYG9a 图3. 字母F在视网膜上位置点列图 9w11kut-! 视网膜的散射 WE|L{ :&6QKTX 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。 .{5)$w> Ea!}r|~]0 z+PSx'#} 图4. 视网膜朗伯散射设定 '[qG ,^f 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。 +]I;C 1^!=J<`K; E2X
K hW 图5. 视网膜重点采样规格设定 iBN,YPo~ 脚本 H",yVD VG&|fekF 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: O4\GL F8_pwJUpf- 图6. 用户对话框的创建与编辑 JF: QQ\ 图7. 用户对话框编辑器 Eqp?cKrji 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。 ?tqTG2! ( 余下的脚本计算与屈光度有关的所有参数。 Jc`LUJT cX7xG U 分析 kVkV~ %j2YCV7 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ukS@8/eJ $'L(}gNv5 图7. 字母F在视网膜上颜色分析 .g(yTA 脚本代码 k L*Q}) T-fW[][&$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. (}4tj4d ;lW0p8 Dim entity As T_ENTITY [p}J=1S Dim op As T_OPERATION 8@6:UR.) Dim mat As T_MODELMATERIAL zoC/Hm Dim A As Double yHr/i) c Dim pupilDiam As Double b'Mg Dim eID As Long W>wE8? _, Dim parID As Long ;]Y.2 J Dim count As Integer Ywr^uy1V,/ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zhHQJcQ. Dim tlens As Double, nlens As Double g@MTKqs Dim curv As Double, conic As Double >W.Pg`'D Dim ok As Long pL-p fcnbPO0M Sub Main >/1.VT\E -H Zvz[u '用户输入对话框 9y.C])(2 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1@CI7j TextBox 220,21,40,21,.TextBox1 'default: 0 !rTh+F* Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 cQ*:U@ OKButton 40,91,90,21 L)8;96 CancelButton 190,91,90,21 Wf0ui1@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :#d$[:r# TextBox 220,49,40,21,.TextBox2 'default: 4 6dC!&leNi End Dialog ^tc@bsUF Dim dlg As UserDialog !x;T2l PovPO ok = Dialog (dlg) 8*>6+"w z)43+8 ; If ok=0 Then 'cancel button was pressed
A-ir Print "Execution cancelled." FT `y3~ End +r4US or End If [rqq*_eB (zk'i13#6 'Assign accommodation and pupil diameter & use defaults if field left empty <wj2:Z0 If dlg.TextBox1 = "" Then jY87NHg A = 0 'Default accommodation KkJcHU Else qZ`@Ro A = CDbl(dlg.TextBox1) 6M+~{9(S End If J>!p^|S{ '(^p$=3|@D If dlg.TextBox2 = "" Then `j_R ?mY pupilDiam = 4 'Default pupil diameter =2J+}ac Else ?P{C=Td2z pupilDiam = CDbl(dlg.TextBox2) #vLDN R End If X*$ 7g; Tk.MtIs)V} Print " " *v l_3S5_ Print "Accommodation = " & A & " Diopters" t( p Print "Pupil Diameter = " & pupilDiam & " mm" =Q3Go8b4HJ cCyg&% zsT ' Calculate new parameters with accommodation +vDT^|2SF taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gq Z7Pro. FE/&<g0,: Rant = 12.0 - 0.4*A 'Radius of anterior lens F[RhuNa&'W CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens -Ah \a0z \
{"8(ELX Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 7D9R^\K CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens if#$wm% I?bL4u$\ tlens = 3.767 + 0.04*A 'Lens thickness f=}u;^ '~3(s?B nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <0v'IHlZ8 =E4nNL? 'Adjust parameters to account for accommodation gJvc<]W8! t
m5>J)C '************************************************************************* rUx%2O|qu 'Aqueous thickness (Position of Lens) 3i35F.=X, '************************************************************************* cf0em! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) c{||l+B GetCustomElement eID, entity {'>X6: 9FPl parID = FindFullName( "Geometry.Arizona Eye" ) ~;bwfp_ mz9Kwxe ' Delete any shift(s) in z 1D=My1B count = 0 Q6Jb]>g\H While GetOperationCount(eID)>count LT'#0dCC GetOperation eID, count, op IQ2<Pinv If op.Type="ShiftZ" Then Pvbw>k; DeleteOperation eID,count .!)7x3|$[ count=count-1 HV>|f'45 End If
"thfd"- count=count+1 Z;WqKIM# Wend 1(On.Y= A4( ^I
u 'Set new shift in P3lNns3 op.Type = "ShiftZ" 2eyvY|:Q> op.val1 = taq "GZhr[AW op.parent = parID Z( xn- AddOperation eID, op Eptsxyz{ Print "Set aqueous humor thickness = " & taq-0.55 Ix1ec^?f LNg[fF^: '************************************************************************* W=F?+KgL 'Radius and conic constant of anterior lens ]*):2%f '************************************************************************* ?;^_%XSQ* eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) gK#aC[ GetConic eID, entity, curv, conic )o9CFhFB ~j F5%Gu SetConic eID, entity, 1/Rant, CCant w
:^b3@gd Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant G
V0q? L6l~!bEc '************************************************************************* Yng9_w9Y 'Radius and conic constant of posterior lens $R7d*\(G '************************************************************************* DPy"FQYZb eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %9Ulgs8 = GetConic eID, entity, curv, conic .bL{fBTT~ IGv>0LOd@ SetConic eID, entity, 1/Rpost, CCpost .lTGFeJqZ4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ?P"ht y1k""75 '************************************************************************* o Q{gh$6* 'Lens thickness (Position of posterior lens surface) VZ_4B *D '************************************************************************* Y*J`Wf(w $9Z8P_^.0( parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wW!*"z rl4daV&,U ' Delete any z-shift(s) (qB$I\ count = 0 173/A=] While GetOperationCount(eID)>count p1X
lni%= GetOperation eID, count, op ,JVD ;u If op.Type="ShiftZ" Then >@ge[MuS DeleteOperation eID,count <V>vDno\ count=count-1 n%"s_W'E End If W P.6ea7k count=count+1 of{wZU\J+9 Wend rBgLj,/`U/ Fnll&TF 'Set new z-shift nM}X1^PiK" op.Type = "ShiftZ" |? r,W~9` op.val1 = tlens UN,@K9 op.parent = parID 2psLX AddOperation eID, op V=E9*$b] Print "Set lens thickness = " & tlens z,DEBRT+ /H!I90 '************************************************************************* .&}}ro48 'Lens index of refraction 7CwG(c/5 '************************************************************************* -V4@BKI8 eID = FindMaterial( "Lens" ) >rYP}k GetModelMaterial eID, mat UyK|KL w6#hsRq[C mat.Nd = nlens ;QgJw2G SetModelMaterial eID, mat Is?0q@ Print "Set lens index of refraction = " & nlens i~l0XjQbs W W== '************************************************************************* Kw-E%7gh4c 'Pupil diameter t0}3QGf;c '************************************************************************* >@y5R^B` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) N,Y<mX Y.Gr(]tk 'Adjust pupil diameter (trimming volume inner hole) $&lS7} -?'u"*#1, SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" f4X?\e GT +s_@964 ' Adjust pupil location to just in front of the lens ?~u"w OH' parID = FindFullName( "Geometry.Arizona Eye" ) '+' eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) P9Rq'u count = 0 my*UN_] While GetOperationCount(eID)>count m0un=>{ GetOperation eID, count, op *"1]NAz+ If op.Type="ShiftZ" Then l'-iIbKX DeleteOperation eID,count =%$ _)=}J count=count-1 N}\$i&Vi End If VA2%2g2n{ count=count+1 F(@|p]3* Wend >JC.qjA op.Type = "ShiftZ" 2eb
:(D7Cq op.val1 = taq-0.01 t{84ioJ"$ op.parent = parID ^qV*W1|0 AddOperation eID, op d [K56wbpx pm<<!`w" Print "Set pupil diameter = " & pupilDiam IVEvu3 VbA#D 4; 'Update AZ Eye subassembly Description 1z[WJ}$u eID = FindFullName( "Geometry.Arizona Eye" ) T<p>:$vo GetEntity eID, entity Zf(ucAhL entity.Description = "Accommodation = " & A & "D" Ig5J_Z^]b SetEntity eID, entity D~2,0K n6ud;jN| Update O^sgUT1O Print "DONE!" N}.h_~6 gKS^-X{x
End Sub )`;?%N\ x ?Q;o+2v 如果屈光度是4,光瞳直径是4,则会输出如下数据: SU
H^ ]4> 8!:4m"Y Accommodation = 4 Diopters YZ/mTQn_D Pupil Diameter = 4 mm e|Lh~sVq Set aqueous humor thickness = 2.81 ~_^nWT*BV Set anterior lens radius = 10.4 and conic constant = -2.375869 5_=&U-? H Set posterior lens radius = -4.424557 and conic constant = -3.081019 _Se>X= Set lens thickness = 3.927 EeL~`$f Set lens index of refraction = 1.42672 e2/[`k=7- Set pupil diameter = 4 w3,QT}W vY DONE! kiqq_`66
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