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简介 7Q<uk[d0 mm3goIi;Y 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。 :E|HP#iwu PmtBu`OkV 模型 UarU.~Uqi <v?9:} 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。 XpzdvR1 bQ-5uFe~$B Table 1. AZ眼睛模型的定义 5Wj+ey^^w 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. $+IE`(Ckf ]E66' 光源 8Ek<J+&|I 9=&e5Oq} 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 yQ4]LyS c7j^OP k]< 图1. 光源和提示信息使用 4C(v BKl 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 A>6b
6 ZdEeY|j 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 0s = h*"[ XD`QU m 图2. 字母F光源的设定方法光 0lNVQxG UA[2R1}d 图3. 字母F在视网膜上位置点列图 c=l
3Sz? 视网膜的散射 2}u hPW+ zCD?5*7 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 a z
7Vy- p6[a"~y 5y!
4ny_ 图4. 视网膜朗伯散射设定 p.q:vI$J 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。 V *=To uROt h_/ %}cGAHV 图5. 视网膜重点采样规格设定 %3'4QmpR 脚本 eL9RrSXz )2}{fFa% 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: GzK{.xf ZLdvzH@' 图6. 用户对话框的创建与编辑 %R5APMg1 图7. 用户对话框编辑器 ;C%40;Q 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。 'v4#mf 余下的脚本计算与屈光度有关的所有参数。 }cyHR1K R2Fh
WiL 分析 wJJ4F$"b Vg/{;uLAe 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 w[z^B& hGcq>Cvf 图7. 字母F在视网膜上颜色分析 )((Jnm D 脚本代码 nMD^x SF 61rm Option Explicit 'Remove this to enable non-dimensioned variables to be used. k,M%/AXd Pze$QBNoRd Dim entity As T_ENTITY >#B%gxff Dim op As T_OPERATION D%umL/[] Dim mat As T_MODELMATERIAL s
z/7cLo Dim A As Double %y33evX/B Dim pupilDiam As Double &R/)#NAp Dim eID As Long (7x5 Dim parID As Long L,.Ae
i9 Dim count As Integer 7]YLe+Ds Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double m8H|cQ@Uu Dim tlens As Double, nlens As Double p~I+ZYWF' Dim curv As Double, conic As Double m/n_e g Dim ok As Long XF(I$Mxl6 ^8aj\xe( Sub Main ,St#/tu F ^Rt
6Io '用户输入对话框 QJp
_>K Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 fi+u!Y*3Z TextBox 220,21,40,21,.TextBox1 'default: 0 6
k+FTDL Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 zJ7vAL OKButton 40,91,90,21 st(l85 CancelButton 190,91,90,21 E\#hcvP Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j$^3 TextBox 220,49,40,21,.TextBox2 'default: 4 M(x5D;db/ End Dialog :kq J~ Dim dlg As UserDialog (E59)z - < i*v ok = Dialog (dlg) ex7zg! M*BDrM If ok=0 Then 'cancel button was pressed "T@9]>6.f Print "Execution cancelled." E#r6e+e1Q% End *}Zd QJL End If v0 |A
N U .hV1 'Assign accommodation and pupil diameter & use defaults if field left empty ]K0<DO9 If dlg.TextBox1 = "" Then |r 1\ A = 0 'Default accommodation U 9TEC) Else Y8`4K* 58% A = CDbl(dlg.TextBox1) LYNd^} End If )6iY9[@tN #9}E@GGs If dlg.TextBox2 = "" Then \-N
4G1 pupilDiam = 4 'Default pupil diameter {&8-OoH ~ Else _ 0%sYkUc pupilDiam = CDbl(dlg.TextBox2) Jf@M>BT^A End If 6+BR5Nr 'YQ"Lf Print " " [ jve
|-v= Print "Accommodation = " & A & " Diopters" *:bNK5I.t Print "Pupil Diameter = " & pupilDiam & " mm" -}1S6dzr L=3^A'| ' Calculate new parameters with accommodation sXOGIv taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness id@!kSR [c]X)
@#S Rant = 12.0 - 0.4*A 'Radius of anterior lens aM5zYj`pW CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens |_8::kir: 1HL}tG?+# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens #sdW3m_% CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens E{sTxOI$ GM|gm-t<@ tlens = 3.767 + 0.04*A 'Lens thickness |Y|{9Osus RS!~5nk5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction G*uy@s: Teu4 ; 'Adjust parameters to account for accommodation .,(bDXl? z6S
N '************************************************************************* Dg%zN i2GS 'Aqueous thickness (Position of Lens) mza1Q~< '************************************************************************* {^>m3 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :M9'wg GetCustomElement eID, entity -MOPm]iA H>_ FCV8 parID = FindFullName( "Geometry.Arizona Eye" ) HT)b3Ws~M8 Ox.&tW%@ ' Delete any shift(s) in z RN238]K count = 0 iJIPH>UMX While GetOperationCount(eID)>count xcwyn\93) GetOperation eID, count, op EMzJJe{Cv If op.Type="ShiftZ" Then Ke,UwYG2~G DeleteOperation eID,count Y>geP+ - count=count-1 _$PZID End If JVf8KHDj count=count+1 qY`)W[ Wend Mz#
&"WjF u*Z>&]W_ 'Set new shift in j0^~="p%C op.Type = "ShiftZ" Fx2
KRxk op.val1 = taq 'A
.c*<_ op.parent = parID Q
,30 AddOperation eID, op 7kx)/Rw\B Print "Set aqueous humor thickness = " & taq-0.55 Enm#\(j EWNh:<F? '************************************************************************* ]]`hnzJX 'Radius and conic constant of anterior lens KhAj`vOzK '************************************************************************* xK 9"t;!C& eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) KRQKL`}} GetConic eID, entity, curv, conic DvHcT]l>5 Z0g3> iItM SetConic eID, entity, 1/Rant, CCant =i } Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant =($RT wv<D%nF2| '************************************************************************* PN[
`p1F 'Radius and conic constant of posterior lens v+f:VA '************************************************************************* :TJv<NZi' eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0? ( GetConic eID, entity, curv, conic uQazUFw ]c]rIOTN SetConic eID, entity, 1/Rpost, CCpost vBx*bZ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost akHcN]sa2 eU'DQp* '************************************************************************* 8M*[RlUJB 'Lens thickness (Position of posterior lens surface) EQ'iyXhEe '************************************************************************* }tv% 1OK,r` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -hj@^Auf MKLnt X ' Delete any z-shift(s) /2pf*\u count = 0 |F[E h
~ While GetOperationCount(eID)>count MO&QR-OY GetOperation eID, count, op r,X5@/ If op.Type="ShiftZ" Then *`OgwMr)M DeleteOperation eID,count #\KSv
Z count=count-1 W.TZU'% End If BlUl5mP}> count=count+1 p s=jGh[ Wend j9Ptd$Uj =G3O7\KmH 'Set new z-shift 7;RhA5M op.Type = "ShiftZ" Xd/gvg{??0 op.val1 = tlens 9~98v;Z1 op.parent = parID RQ}(}|1+\ AddOperation eID, op #Ki(9oWd Print "Set lens thickness = " & tlens w|:UTJ>@ HMGby2^+ '************************************************************************* w^Qb9vTa8 'Lens index of refraction 2*Hw6@Jj '************************************************************************* |&B.YLx eID = FindMaterial( "Lens" ) L&M6s
f$N GetModelMaterial eID, mat sG`|| Kb;n l[lUmE mat.Nd = nlens .}>d[},F SetModelMaterial eID, mat lG12Su/ Print "Set lens index of refraction = " & nlens O4@sN=o Z_Jprp{3h '************************************************************************* p>4$&- 'Pupil diameter qYv/"
1 '************************************************************************* l0AgW_T eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) zJJ
KLr; |P7c { 'Adjust pupil diameter (trimming volume inner hole) ^(y=DJ7 Fq/?0B8 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" HPl!r0 h =S/$h}Vi ' Adjust pupil location to just in front of the lens `l,=iy$ parID = FindFullName( "Geometry.Arizona Eye" ) 0Ci\( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) g.OBh_j-v count = 0 #R$d6N[H While GetOperationCount(eID)>count 08AC9 GetOperation eID, count, op "]J4 BZD If op.Type="ShiftZ" Then le*mr0a DeleteOperation eID,count W$LaXytmak count=count-1 Cc*"cQe End If CqX2R:# count=count+1 -BUxQ8/, Wend *n mr4Q'v{ op.Type = "ShiftZ" $G/h-6+8 op.val1 = taq-0.01 N1$lG?
)+ op.parent = parID jqxeON AddOperation eID, op WmU4~. }R-eQT Print "Set pupil diameter = " & pupilDiam V\^rs41$; w"d~R 'Update AZ Eye subassembly Description bK;I:JK3 eID = FindFullName( "Geometry.Arizona Eye" ) !GI*R2<W GetEntity eID, entity wy6> ^_z entity.Description = "Accommodation = " & A & "D" x&9}] E^< SetEntity eID, entity 2%4dA$H#4w mqgA Update f`'? 2 Print "DONE!" Eyi^N0 xLX< |