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简介 D\^WXY5e%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。 69kJC/1+l A>NsKWf{ 模型 NYABmI/0c "0jJh^vk 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。 5&CDHc7Oj {dPgf Table 1. AZ眼睛模型的定义 Ni*Wz*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. P&*sB%B ql5x2n 光源 W[NEe,.> +TeFt5[)h 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。 r^HAa GpC 1 7hTr ID1?PM 图1. 光源和提示信息使用 }8'&r(cN4 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。 e=/&(Y L6
6-LMkH 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。 v|
z08\a[ SC#sax4N!= 图2. 字母F光源的设定方法光 7s'- +~ o%M<-l"!/ 图3. 字母F在视网膜上位置点列图 yy2Ie 视网膜的散射 XeUC0K[D $2z
_{@Z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ~3WL)% ED![^= NWmtwS+@ 图4. 视网膜朗伯散射设定 :ipoD%@ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Q^eJ4{Ya: 3$M3Q]z !)Ni dG 图5. 视网膜重点采样规格设定 m8R=?U~!S 脚本 XOb}<y)r~ N:+
taz- 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: (N~$x L x|',6S 图6. 用户对话框的创建与编辑 #j@OLvXh 图7. 用户对话框编辑器 ^!:"Q3 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 96|[}:+$&: 余下的脚本计算与屈光度有关的所有参数。 +6W(z3($ Ruh)^g 分析 p{;i& HNdp |qjZ38;6 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K <`>O,
F 8KjRCm,I 图7. 字母F在视网膜上颜色分析 ;q#]-^ 脚本代码 T|'&K:[TJ gb-{2p>} Option Explicit 'Remove this to enable non-dimensioned variables to be used. -rY 7)= vahoSc;sw Dim entity As T_ENTITY y62%26 [ Dim op As T_OPERATION sy<iKCM\ Dim mat As T_MODELMATERIAL lxb 8xY Dim A As Double 2wh#$zGy Dim pupilDiam As Double XQ;I,\m Dim eID As Long H/cTJ9zz Dim parID As Long E'dX)J9e$/ Dim count As Integer (6xDu.u?A Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :\}U9QfCw Dim tlens As Double, nlens As Double L`K;IV%; Dim curv As Double, conic As Double Ky9W/dCR Dim ok As Long we]>(| E8[XG2ye Sub Main tEhr x*8O*!ZZ '用户输入对话框 Y)p4]>lT+8 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 r+gjc?Ol TextBox 220,21,40,21,.TextBox1 'default: 0 Lar r}o= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 lmFA&s"m OKButton 40,91,90,21 9D4-^M:a CancelButton 190,91,90,21 E/O5e(h Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 pt!'v$G/* TextBox 220,49,40,21,.TextBox2 'default: 4 _PB@kH# End Dialog X8 qIia Dim dlg As UserDialog Cd~LsdKE5 B?(4f2yE ok = Dialog (dlg) }: #dV
B+ _X%Dw If ok=0 Then 'cancel button was pressed P/aDd@j Print "Execution cancelled." %8D?$v"#Z End zl)&U=4l End If X4I]9t\ 6"%qv`.Fp 'Assign accommodation and pupil diameter & use defaults if field left empty ;QPy:x3 If dlg.TextBox1 = "" Then .uDM_ 34 A = 0 'Default accommodation Vipp /WV Else ?`. XK} A = CDbl(dlg.TextBox1) v ($L End If >h7$v~nra &>=#w"skb6 If dlg.TextBox2 = "" Then xwLy|& pupilDiam = 4 'Default pupil diameter 5P\N"Yjx' Else wgZrrq/W| pupilDiam = CDbl(dlg.TextBox2) Mo|yv[(K, End If )0|):g -3k;u Print " " J#@lV Print "Accommodation = " & A & " Diopters" "_)|8|gN Print "Pupil Diameter = " & pupilDiam & " mm" RZ6~c{ wP`sXPSmIu ' Calculate new parameters with accommodation u+DX$#-n!] taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >Z"9rF2SW }xJR.]).KW Rant = 12.0 - 0.4*A 'Radius of anterior lens 3Uo]>BG CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens {Q<0\`A +2yF|/WW# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 'z](xG< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 1PIzV:L\ @YB85p"]J. tlens = 3.767 + 0.04*A 'Lens thickness ?Ccw4]YO,= T9y768% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction A^vvST%7 i*
gKtjx 'Adjust parameters to account for accommodation {Y"8~ aH^{Vv$]M@ '************************************************************************* j J-d/"( 'Aqueous thickness (Position of Lens) SJ[AiHR '************************************************************************* ` U#Po_hq eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %O_t`wz GetCustomElement eID, entity vnVZJ}]w\ EqQ3=XMUL@ parID = FindFullName( "Geometry.Arizona Eye" ) V^vLN[8_\ /.)2d8, ' Delete any shift(s) in z tx)OJY count = 0 w5Z2N[hy While GetOperationCount(eID)>count PC0HH GetOperation eID, count, op N*':U^/t4J If op.Type="ShiftZ" Then Un\Ubqi0 DeleteOperation eID,count i :EO(` count=count-1 Ff&R0v End If t.L4%1OF count=count+1 IadK@?X6j Wend j`hNZ %a #AvEH=: 'Set new shift in zM\IKo_" op.Type = "ShiftZ" <L2GUX36# op.val1 = taq *LEu=3lp%> op.parent = parID D2Vv\f AddOperation eID, op q
/:T1a7! Print "Set aqueous humor thickness = " & taq-0.55 ]p\u$VY9 )5'rw<:=" '************************************************************************* hw|t8 ShW 'Radius and conic constant of anterior lens gu!](yEgl '************************************************************************* XUf7yD eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) S_j1=6#^ GetConic eID, entity, curv, conic F/xCG nP- hi0XVC95 SetConic eID, entity, 1/Rant, CCant 7\f{'KL Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant _Ws#UL+Nq +R9%~Z.= '************************************************************************* K,G,di 'Radius and conic constant of posterior lens f%L:<4 '************************************************************************* a" ^#!G<+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) QYH."7X
> GetConic eID, entity, curv, conic u*U_7Uw$ LH,]vuXh SetConic eID, entity, 1/Rpost, CCpost '1Y<RD>x Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k+f1sV[4} R
!Fx)xj '************************************************************************* ZRX^^yN 'Lens thickness (Position of posterior lens surface) $vW^n4! '************************************************************************* {uEu>D$8 8 NxUx+] parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (I>HWRH 6W]OpM ' Delete any z-shift(s) >,kL p|gA count = 0 3>H2xh 3Y While GetOperationCount(eID)>count <|B$dz?r GetOperation eID, count, op {qY3L8b If op.Type="ShiftZ" Then ?U}sQ;c$ DeleteOperation eID,count %Fs*#S count=count-1 V/@[%w= End If ;A
x=]Q count=count+1 -<]\l3E&J Wend VtD@&N 7Y%!,ff 'Set new z-shift q|R+x7x op.Type = "ShiftZ" Nz3zsP$ op.val1 = tlens KSF5)CZ5 op.parent = parID F1 9;RaP+ AddOperation eID, op "L ^TT2 Print "Set lens thickness = " & tlens t) ; _RN/7\ '************************************************************************* 6.k^m&-A 'Lens index of refraction 9cl{hdP{ '************************************************************************* f&=K]:WDe eID = FindMaterial( "Lens" ) v!nm
&" GetModelMaterial eID, mat qK<aZ%V ww-XMz h mat.Nd = nlens rat=)n)"t SetModelMaterial eID, mat "ugX
/r$_ Print "Set lens index of refraction = " & nlens JJ^iy*v s.<olxXRW '************************************************************************* C<zx'lw! 'Pupil diameter 9"m,p '************************************************************************* >&*6Fqd eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Ti0
(VdY eUX@9eML 'Adjust pupil diameter (trimming volume inner hole) tVC@6Z$ [6Uud iw SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 3FGb Q_ plzE ' Adjust pupil location to just in front of the lens 8yY"x
[' parID = FindFullName( "Geometry.Arizona Eye" ) B)(p9]q eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) j:3A;r\ count = 0 R
tXF While GetOperationCount(eID)>count L-^# 02 GetOperation eID, count, op k/$Ja; If op.Type="ShiftZ" Then Rh wt< DeleteOperation eID,count "r5'lQI count=count-1 4U}.Skzq End If n,CD4Nv count=count+1 jrDz7AfA Wend daaga}]d op.Type = "ShiftZ" ^4n2
-DvG op.val1 = taq-0.01 dbf^A1HI op.parent = parID + TPbIRA AddOperation eID, op eyI-s9#t
?K= gg< Print "Set pupil diameter = " & pupilDiam |HKHN?) |U;w !0 'Update AZ Eye subassembly Description V Z4nAG eID = FindFullName( "Geometry.Arizona Eye" ) YHwVj?6W GetEntity eID, entity >=Rd3dgDG entity.Description = "Accommodation = " & A & "D" ?^e*UJNM SetEntity eID, entity (E2lv#[ m)tI Update :X1`wBu Print "DONE!" DzX6U[= KD[)O7hYC End Sub Zq2H9^![y~ E
6>1Fm8%V 如果屈光度是4,光瞳直径是4,则会输出如下数据: $6Q2)^LJ E-*>f"<h Accommodation = 4 Diopters UgOGBj,&5W Pupil Diameter = 4 mm $G^H7|PzdC Set aqueous humor thickness = 2.81 f_z2#,g Set anterior lens radius = 10.4 and conic constant = -2.375869 ]ly)z[is"] Set posterior lens radius = -4.424557 and conic constant = -3.081019 s5_1}KKCs Set lens thickness = 3.927 K284R=j -& Set lens index of refraction = 1.42672 ss|6_H = Set pupil diameter = 4 OI;L9\MJc DONE! K4K3<Pg ynOc~TN (文章来源:讯技光电)
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