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简介 &xU[E!2H% 5Y.)("1f}f 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。 `68@+|# D@,6M#SK 模型 ;dkYf24 f&=AA@jLv 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。 eVEV}`X g&^quZ"H Table 1. AZ眼睛模型的定义 Z&G+bdA>, 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. l3{-z4mw "SNn^p59k 光源 '50OgF' ;o
6lf_ 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。 WO7z N+9VYH"* hXcyoZ8 图1. 光源和提示信息使用 L 8c0lx}Nn 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|g5=2(Pr& ]V[q(-Jk 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。 R6 y#S&]x sSr&:BOsi 图2. 字母F光源的设定方法光 a]$1D!Anc |5X^u+_ 图3. 字母F在视网膜上位置点列图 @#l `iK 视网膜的散射 ]l;o}+`G zKyyU}LHH 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。 -zCH**y%1 ,bZL C 3#WT.4k 图4. 视网膜朗伯散射设定 ZAW^/bo< 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。 1m'k|Ka aFl;BhM L\37xJo 图5. 视网膜重点采样规格设定 C>]0YO
k2 脚本 k)i3
kq?Ms|h 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: ^dI424 ?3/qz(bM 图6. 用户对话框的创建与编辑 L{#IT. 图7. 用户对话框编辑器 ;
8_{e3s 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。 3BzNi' 余下的脚本计算与屈光度有关的所有参数。 mWv3!i;G<s zZ:>do\2 分析 UgRhWV~f0 kAKK bmE 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 R1s`z|? V~UN 图7. 字母F在视网膜上颜色分析 ~]nRV *^ 脚本代码 ,D5cjaX< `b?R#:G Option Explicit 'Remove this to enable non-dimensioned variables to be used. EHSlK5bD, DMs,y{v Dim entity As T_ENTITY $ux,9H'[ Dim op As T_OPERATION q'+)t7! Dim mat As T_MODELMATERIAL #9=Vg Dim A As Double pXtl
6K% Dim pupilDiam As Double @Rg/~\ K Dim eID As Long $&Gu)4'+ Dim parID As Long t Cw<Ip Dim count As Integer R%Hi+#/dr- Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !:)s"|= Dim tlens As Double, nlens As Double [m->5H Dim curv As Double, conic As Double r^2p*nr} Dim ok As Long bs+f,j-oBN MO[2~`,Q! Sub Main HUcq%. !d'GE`w T '用户输入对话框 \h+AXs<j Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )tG\vk=@ TextBox 220,21,40,21,.TextBox1 'default: 0 +|*IZ:w) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 8aZ=?_gvT OKButton 40,91,90,21 nz%DM<0$ CancelButton 190,91,90,21 G%BjhpL Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ;$HftG>B TextBox 220,49,40,21,.TextBox2 'default: 4
3Nl <p"= End Dialog 5b5x!do Dim dlg As UserDialog +20G>y=+ ~cWAl,(B<F ok = Dialog (dlg) >3ZFzh&OYQ 7 G)ZN{' If ok=0 Then 'cancel button was pressed p}jE Print "Execution cancelled." eFipIn)b End y@1+I~@ End If {vs
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i|c'Lbre` 'Assign accommodation and pupil diameter & use defaults if field left empty PYQ;``~x If dlg.TextBox1 = "" Then T=<@]$? A = 0 'Default accommodation \1d( 9jR Else 6e (Qwt A = CDbl(dlg.TextBox1) Cmu@4j& End If N%kt3vmQ_ ;
a/X< If dlg.TextBox2 = "" Then w2Us!<x pupilDiam = 4 'Default pupil diameter `CBZhI%% Else 8Pfb~&X^Ws pupilDiam = CDbl(dlg.TextBox2) i1UiNJh86 End If !NIhx109q s kvGU(G} Print " " >q#rw Print "Accommodation = " & A & " Diopters" @#<D ^" Print "Pupil Diameter = " & pupilDiam & " mm" ?fiIwF) %}[i'rT> ' Calculate new parameters with accommodation ]99|KQ<s taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0\H\lKcK yZ
@"\Z! Rant = 12.0 - 0.4*A 'Radius of anterior lens tW.9yII CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens kh!FR u h }bs+-K Rpost = -5.224557 + 0.2*A 'Radius of posterior lens [I0:=yJ+ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens \?w2a$?6w k@\ iGqo tlens = 3.767 + 0.04*A 'Lens thickness C\\~E9+ Nc1"g1JR nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ? 8)'oMD Hek*R?M| 'Adjust parameters to account for accommodation !-ok"k0,u eS{!)j_^ '************************************************************************* @u.58H& }R 'Aqueous thickness (Position of Lens) ) dn(G@5 '************************************************************************* O80<Z#%j` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^b/ Z)3 GetCustomElement eID, entity "
f
<Z=c :Uz| 3gq parID = FindFullName( "Geometry.Arizona Eye" ) |"?M 1*g nv GF2(;l ' Delete any shift(s) in z 6TYY
UM"& count = 0 *,3SGcYdJj While GetOperationCount(eID)>count -1
FPkp GetOperation eID, count, op ^.1)};i If op.Type="ShiftZ" Then uya.sF0]9B DeleteOperation eID,count 00'%EYO count=count-1 Diy8gt End If KmMzH`t}` count=count+1 BD68$y Wend U [*FCD!~ ]"J~:{, d 'Set new shift in b+,';bW op.Type = "ShiftZ" O|\J}rm' op.val1 = taq g@rb op.parent = parID gaQdG=G8$ AddOperation eID, op
7_%"BVb" Print "Set aqueous humor thickness = " & taq-0.55 Fa?~0H/DL :S.9eFfa '************************************************************************* a,xycX:U 'Radius and conic constant of anterior lens PjZvQ\Z '************************************************************************* 6tB+J F eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) S\4tzz @ GetConic eID, entity, curv, conic 11TL~xFh 8u"!dq SetConic eID, entity, 1/Rant, CCant .}^g!jm~h Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant O9vQp ?:
N@!jeJ '************************************************************************* 7"aN#;& 'Radius and conic constant of posterior lens `q?8A3A '************************************************************************* K$>%e36Cc eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _XG/Pp) GetConic eID, entity, curv, conic _
<WJ7 &{ay=Mj SetConic eID, entity, 1/Rpost, CCpost !HrKXy0{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost M|6A0m#Q @GkILFN '************************************************************************* B$-R-S6 'Lens thickness (Position of posterior lens surface) G.rrv '************************************************************************* 0>C T=(A ,#Iu
7di parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?>hPO73{ }B8IBveu ' Delete any z-shift(s) IHe/xQ@ count = 0 }M1`di4e While GetOperationCount(eID)>count L_vISy%\b GetOperation eID, count, op DAS/43\ If op.Type="ShiftZ" Then ]or>?{4g DeleteOperation eID,count ]j'p :v count=count-1 pv*,gSS End If @HQ`~C#Z' count=count+1 !6BW@GeF] Wend #i@;J]x( ^c<ucv6. 'Set new z-shift |s"nM<ZNZ op.Type = "ShiftZ"
UmNa[s op.val1 = tlens 1xD=ffM>8N op.parent = parID 5V6G=H AddOperation eID, op D&/kCi= R Print "Set lens thickness = " & tlens `!XY]PI+e A9f)tqbc '************************************************************************* W{%TlN 'Lens index of refraction {)"iiJ '************************************************************************* /s?r`' j[ eID = FindMaterial( "Lens" ) hn^<;av= GetModelMaterial eID, mat #1`-*.u *FC=X) _&W mat.Nd = nlens NPCs('cd>? SetModelMaterial eID, mat }2<r, Print "Set lens index of refraction = " & nlens afv~r>q(- )^m%i]L_ '************************************************************************* mX\TD0$d 'Pupil diameter |zR8rqBX; '************************************************************************* {XNREjhm eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3^R&:|, 9;_sC 'Adjust pupil diameter (trimming volume inner hole) Qy.w=80kf *+-}P|S: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" z54EG:x.7^ $]{k+Jf ' Adjust pupil location to just in front of the lens ~KW,kyXBnD parID = FindFullName( "Geometry.Arizona Eye" ) fIj|4a+ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "$N#p5 count = 0 :,Pn3xl While GetOperationCount(eID)>count p89wNSMl[ GetOperation eID, count, op n;(\5{a If op.Type="ShiftZ" Then wT `a3Ymm DeleteOperation eID,count ~V&aUDO>/ count=count-1 l%?T2Fm3> End If OlAs'TE^ count=count+1 ,=tD8@a< Wend ?**+e%$$ op.Type = "ShiftZ" ?*E'^~,H) op.val1 = taq-0.01 dE:+k/ op.parent = parID y$@ZN~8 AddOperation eID, op )#.<]&P } 5!l0zLQPo Print "Set pupil diameter = " & pupilDiam F_;vO%} nyBJb(5"B 'Update AZ Eye subassembly Description &Rx{.9 eID = FindFullName( "Geometry.Arizona Eye" ) 'f[T&o&L/ GetEntity eID, entity q0$
!y!~ entity.Description = "Accommodation = " & A & "D" an|x$e7|? SetEntity eID, entity sA'6ty Hj:r[/ Update 1jy9lP= Print "DONE!" nx8a$vI-TY {.QEc0- End Sub c:-!'l$ ! |_`E1Y}} 如果屈光度是4,光瞳直径是4,则会输出如下数据: "Jt.lL ]5 iTag+G4* Accommodation = 4 Diopters QS{1CC9$ Pupil Diameter = 4 mm r9 ui|>U" Set aqueous humor thickness = 2.81 W6"v)Jc>_ Set anterior lens radius = 10.4 and conic constant = -2.375869 /RHo1 Set posterior lens radius = -4.424557 and conic constant = -3.081019 |`lzfe Set lens thickness = 3.927 t: #6sF Set lens index of refraction = 1.42672 o3I Tr'; Set pupil diameter = 4 EGZb7:Y? DONE! dgA-MQ5{ 0TGLM#{ XVKfl3'% QQ:2987619807 #$c Rkw
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