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简介 ) 'xyK 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。 _-vlN 1vq2`lWpx 模型 WuE]pm]c C+/EPPi 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。 r#WqXh_uk p|gVIsg[-e Table 1. AZ眼睛模型的定义 5{yg 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. L&+k`b ?xwi2<zz 光源 K_+M?ap_ P6%qNR/ x 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。 A@~9r9Uf b6S"&hs Pm P&Qje7 图1. 光源和提示信息使用 n5"i'o{w 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。 gIweL{Pc f]10^y5& 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。 v3[ZPc;; KOR*y(* 8 图2. 字母F光源的设定方法光 R1hmJ 9/8+R% 图3. 字母F在视网膜上位置点列图 %d:cC:` 视网膜的散射 Lwtp,.)pR !*DYdqQ/ 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。 QX?moW6UW V,zFHXO
= <A0; 图4. 视网膜朗伯散射设定 ~W"@[*6w 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。 E}zGY2Xx ?!"pzDg p1GP@m,^n0 图5. 视网膜重点采样规格设定 sOz
{spA 脚本 :V6t5I'_ \0i0#Dt9 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: hw`pi6
5l,Lp'k 图6. 用户对话框的创建与编辑 sWTa;Qi 图7. 用户对话框编辑器
[g@Uc 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。 s,mt%^x[ 余下的脚本计算与屈光度有关的所有参数。 m1K4_a)^[ )yz)Fw|& 分析 B$OV^iwxK 4j,6t|T 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 =Y^K
{a2Gb 图7. 字母F在视网膜上颜色分析 00-2u~D& 脚本代码 #l* w=D? {QN 5QGvK Option Explicit 'Remove this to enable non-dimensioned variables to be used. +~==qLsU 44k8IYC*o Dim entity As T_ENTITY ;S&anC#E Dim op As T_OPERATION 39pA:3iTd Dim mat As T_MODELMATERIAL ym` 4v5w Dim A As Double ~XXNzz]? Dim pupilDiam As Double j5smmtM`s Dim eID As Long |NTqJ j Dim parID As Long +'w6=qI Dim count As Integer D)[( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $EdL^Q2KAy Dim tlens As Double, nlens As Double Lv)1
)'v0 Dim curv As Double, conic As Double 6!Mm") Dim ok As Long J9J/3O
Q= JPZH%#E( Sub Main &
\C1QkI #B!M,TWf9s '用户输入对话框 SC3_S. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 L{XW2c$h TextBox 220,21,40,21,.TextBox1 'default: 0 y M-k]_ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =L?2[a$2; OKButton 40,91,90,21 nYBa+>3BDf CancelButton 190,91,90,21 hdmKD0 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 CZ{7?:^f TextBox 220,49,40,21,.TextBox2 'default: 4 gC_KT,=H; End Dialog nuA
0%K Dim dlg As UserDialog bFH`wLW |GP&!] ok = Dialog (dlg) _S-@|9\ mGJRCK_ If ok=0 Then 'cancel button was pressed _lm^v%J$ Print "Execution cancelled." Krl9O]H/[ End 5;HCNwX End If bUYjmb2g) 4_$.gO 'Assign accommodation and pupil diameter & use defaults if field left empty uaky2SgN If dlg.TextBox1 = "" Then S a}P
|qI A = 0 'Default accommodation ?|\wJrM ] Else |WOc0M[U A = CDbl(dlg.TextBox1) GY^;$ ? End If M9Nr/jE @S>;t)\J If dlg.TextBox2 = "" Then !?+q7U pupilDiam = 4 'Default pupil diameter K%Bz6 ~ Else ,@Kn@%?$ pupilDiam = CDbl(dlg.TextBox2) :)&vf<JL End If VYt<j<ba (Q8r2*L Print " " GJs~aRiz Print "Accommodation = " & A & " Diopters" J(wFJg\/ Print "Pupil Diameter = " & pupilDiam & " mm" @7V~CNB+ Z_Y'#5o# ' Calculate new parameters with accommodation A
r>BL2@ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Wcm8,?* ou<,c?nNM Rant = 12.0 - 0.4*A 'Radius of anterior lens ;-;lM6zP CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens TY'61xWi ~!cxRd5;F Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 4"\cA:9a CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ItZYOt|Hn +lhCF*@*N tlens = 3.767 + 0.04*A 'Lens thickness lBAu@M
;[(d=6{hc] nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction sf# px|~9 GNq
f 'Adjust parameters to account for accommodation $CX3P)%
` $bFK2yx?= '************************************************************************* XoL DqN! 'Aqueous thickness (Position of Lens) oD1k7Gq1 '************************************************************************* X{OWDy eID = FindFullName( "Geometry.Arizona Eye.Lens" ) -B&(&R GetCustomElement eID, entity />/e 1 <+aF, parID = FindFullName( "Geometry.Arizona Eye" ) j%^4
1 y N' R^gL ' Delete any shift(s) in z -)VjjKz]8 count = 0 pt,L While GetOperationCount(eID)>count nPqpat`E GetOperation eID, count, op x\8|A If op.Type="ShiftZ" Then |?8nO.C~V DeleteOperation eID,count g$?^bu dxv count=count-1 tqCkqmyC End If 6=;(~k&x9: count=count+1 ^87 9sI Wend ZH9Fs'c= =DDKGy.g 'Set new shift in jy?*` q1] op.Type = "ShiftZ" =CZRX'
+yN op.val1 = taq dIlpo0; F op.parent = parID r]Wt! oHm5 AddOperation eID, op |D"L!+J-$ Print "Set aqueous humor thickness = " & taq-0.55 G[yzi 4n7Kz_!SVf '************************************************************************* Zr2!}jD9a 'Radius and conic constant of anterior lens 1BZ##xV*:G '************************************************************************* s(3HZ>qx; eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) fs&$?mHL){ GetConic eID, entity, curv, conic QOSMV#Nw% F}ATY! SetConic eID, entity, 1/Rant, CCant 7Y(Dg`8G Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $["HC-n?.k 6AG]7d< '************************************************************************* *qy \%A 'Radius and conic constant of posterior lens KGg
S"d '************************************************************************* C9sU^]#F eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _#:7S
sJ GetConic eID, entity, curv, conic 4^l 9d $S|+U}]C SetConic eID, entity, 1/Rpost, CCpost wGKxT
ap Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost t~/:St Zja3HGL '************************************************************************* vf{$2rC 'Lens thickness (Position of posterior lens surface) t:fz%IOe '************************************************************************* Cd
2<r6i w.(W G+ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) uH%b rbrU otR7E+*3 ' Delete any z-shift(s) IONo&~-l count = 0 (4/"uj5 While GetOperationCount(eID)>count zdrP56rzZ GetOperation eID, count, op B=& [Z2 If op.Type="ShiftZ" Then _uMG?Sbx DeleteOperation eID,count *m+FMyr count=count-1 ISs&1`Y End If l_Lz9k count=count+1 B #%QY\<X Wend }_zN%Tf~ @gK`RmhGE5 'Set new z-shift 9d#?,:JG op.Type = "ShiftZ" &'W7-Z\j- op.val1 = tlens |7c],SHm op.parent = parID zP #:Tv' AddOperation eID, op K?'m#}] Print "Set lens thickness = " & tlens `+n#CWZ"Y NeY*l '************************************************************************* E0+L?(; 'Lens index of refraction *eIX"&ba '************************************************************************* xB Wl|j eID = FindMaterial( "Lens" ) #C&';HB;y GetModelMaterial eID, mat Q^2dZXk~ Eb[;nk? mat.Nd = nlens [S,$E6&j$" SetModelMaterial eID, mat :a;F3NJ Print "Set lens index of refraction = " & nlens +a.2\Qt2A oLKliA=q '************************************************************************* yO%^[c? 'Pupil diameter u'l4=e '************************************************************************* Az:~|P eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %eDSo9Y 7gf(5p5ZV 'Adjust pupil diameter (trimming volume inner hole) 'fU #v`i k37?NoT SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
QvZ"{ dfdK%/' $( ' Adjust pupil location to just in front of the lens wz`% (\ parID = FindFullName( "Geometry.Arizona Eye" ) 3oLF^^^g eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #Pg`0xiV count = 0 l}L81t7f While GetOperationCount(eID)>count ,M3hE/rb/ GetOperation eID, count, op (dSYb&] If op.Type="ShiftZ" Then tJ;qZyy( DeleteOperation eID,count >B0AJW/u count=count-1 }[JB% End If hO8xH +; count=count+1 yk?bz Wend ,@f"WrQ op.Type = "ShiftZ" Y`j$7!j op.val1 = taq-0.01 H^n@9U;[K op.parent = parID h^=;\ng1l AddOperation eID, op .S54:vs rt*x[5< Print "Set pupil diameter = " & pupilDiam 0(-4"u>? .?6p~ 'Update AZ Eye subassembly Description xS1n,gTA eID = FindFullName( "Geometry.Arizona Eye" ) &B(z**+9 GetEntity eID, entity JGHj(0j entity.Description = "Accommodation = " & A & "D" x>EL|Q=? SetEntity eID, entity -8qCCV&1i jI\@<6O Update 7zw0g~+ Print "DONE!" LhLAQ2~ gvT}UNqL End Sub DW7E ]o
h-ii-c?R@0 如果屈光度是4,光瞳直径是4,则会输出如下数据: T)I)r239h L&kCI`Tb Accommodation = 4 Diopters A3/[9}(U Pupil Diameter = 4 mm \09A"fs{ Set aqueous humor thickness = 2.81 {4 Yxh8 Set anterior lens radius = 10.4 and conic constant = -2.375869 LMoZI0)x Set posterior lens radius = -4.424557 and conic constant = -3.081019 0}<blU Set lens thickness = 3.927 (o|bst][S Set lens index of refraction = 1.42672 [M[#f&=Z Set pupil diameter = 4 V _~lME DONE! nu\AEFT <CuUwv
'A (文章来源:讯技光电)
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