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简介 }6u2*(TmD s Be7"^ 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。 OFU/gaO~ MXtkP1A` 模型 `'S0*kMT EcL-V>U#M 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。 K`-!uZW:B7 ~@W*r5/ Table 1. AZ眼睛模型的定义 Wr?'$: 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. c3TKl/ !ZXUPH 光源 o4y']JSN A!i q->+ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 1GCzyBSbb /0MDISQy9 2}U!:bn( 图1. 光源和提示信息使用 &HZmQ>!R D 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Di.3113t w?Ju5 5 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 5*g]qJF ~a9W3b4j 图2. 字母F光源的设定方法光 *Mc7f ?H rVnd0K 图3. 字母F在视网膜上位置点列图 _HOIT 视网膜的散射 AnBJ(h 8 .>/6M 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ~wm;;#_O 4'1m4Ugg X;F8_+Np 图4. 视网膜朗伯散射设定 cZ8.TsI~ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 /# NYi,<{X nk"NmIf OWq'[T4 图5. 视网膜重点采样规格设定 K$ }a8rH 脚本 "_UdBG 0pb'\lA 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: qy1F*kY +0wT!DZW\= 图6. 用户对话框的创建与编辑 igL<g 图7. 用户对话框编辑器 <6TT)t<h 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。 J5Z%ImiT^O 余下的脚本计算与屈光度有关的所有参数。 zw<p74DH Z4K+ /<I 分析 Uh
eC )::>q5c 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 G6P)C##ibn @oP_;G 图7. 字母F在视网膜上颜色分析 D1
Z{W 脚本代码 UB`ToE|Ii ~T7B$$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. WS8+7O'1\ {]*x*aa\ Dim entity As T_ENTITY g6t"mkMY
L Dim op As T_OPERATION inb^$v Dim mat As T_MODELMATERIAL POI.]1i Dim A As Double Ox!U8g8c Dim pupilDiam As Double QS.>0i/7l Dim eID As Long g1E~+@ Dim parID As Long +yob)% Dim count As Integer \`<cH# Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double <:>SGSE9 Dim tlens As Double, nlens As Double wFh8?Z3u_ Dim curv As Double, conic As Double n%^ LPD Dim ok As Long >Hb^P)3 o{b=9-V Sub Main !rDdd%Z rPNb\Ri '用户输入对话框 f*{
YFg?*& Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 r~-.nb"P TextBox 220,21,40,21,.TextBox1 'default: 0 v44}%$ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V"o7jsFH6n OKButton 40,91,90,21 hVT~~n`Rj CancelButton 190,91,90,21 ]r!>{ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #o/H~Iv TextBox 220,49,40,21,.TextBox2 'default: 4 #ge)2 End Dialog 0 S_ ':r Dim dlg As UserDialog ,21 np eivtH P ok = Dialog (dlg) 0_P}z3(M @$"J|s3M If ok=0 Then 'cancel button was pressed .o1^Oh Print "Execution cancelled." Ab%;Z5$fr End $mmup|;( End If 9j]sD/L5q unJid8Lo 'Assign accommodation and pupil diameter & use defaults if field left empty .roqEasu8 If dlg.TextBox1 = "" Then G&xo1K] A = 0 'Default accommodation +x?#DH- Else 4h!f/aF' A = CDbl(dlg.TextBox1) 5ercD End If heaR X4 Z@8vL If dlg.TextBox2 = "" Then R3)57OyV pupilDiam = 4 'Default pupil diameter l+V,DCE Else 93+"D` pupilDiam = CDbl(dlg.TextBox2) ;=j@,
yu End If 8(.mt/MR ]eQV,Vt Print " " =~Ynz7 /x Print "Accommodation = " & A & " Diopters" pL1Q7&&c0 Print "Pupil Diameter = " & pupilDiam & " mm" n?\ nn3 !Fw?H3X!"q ' Calculate new parameters with accommodation n,eJ$2!J taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness &1l=X]% 9YsR~SM Rant = 12.0 - 0.4*A 'Radius of anterior lens Rj F'x CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ONNpiK- di)*-+ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens B/5=]R CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens IX: 25CEI2 >{eCh$L tlens = 3.767 + 0.04*A 'Lens thickness }pk#!N bWl5(S` Z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction l$K,#P<) +$xeoxU>; 'Adjust parameters to account for accommodation 6Ao%>;e* -U<Upn)2 '************************************************************************* Tmh(=
TB' 'Aqueous thickness (Position of Lens) _A<u#.yd '************************************************************************* a9n^WOJ6 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) VL[R(a6c
< GetCustomElement eID, entity ;fw1 x}U8zt)yD3 parID = FindFullName( "Geometry.Arizona Eye" ) *5zrZ]^ !zPG?q]3 ' Delete any shift(s) in z Lb{e,JH count = 0 2j(h+?N7k While GetOperationCount(eID)>count nd;fy$<J\ GetOperation eID, count, op ,f}UGd[a If op.Type="ShiftZ" Then -",=G\XZ DeleteOperation eID,count vA$o~?a]/ count=count-1 K =.%$A End If r1ws1 rr= count=count+1 !R*-R.% Wend =fm]D l9h* )uv=S;+ 'Set new shift in $Vc~/> op.Type = "ShiftZ" kc7lc|'z op.val1 = taq =#mTfJ op.parent = parID ]zO/A4 AddOperation eID, op .nYUL> Print "Set aqueous humor thickness = " & taq-0.55 s5RjIa0$7 x^"ES%* '************************************************************************* >7!6nF3x, 'Radius and conic constant of anterior lens *lef=:&,, '************************************************************************* axHK_1N{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^QuiH' GetConic eID, entity, curv, conic \#68;)+= g}p;\o
SetConic eID, entity, 1/Rant, CCant pV6d
Id Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant J$~<V
IX [1 Ydo` '************************************************************************* USN8N ( 'Radius and conic constant of posterior lens 9%*wb`& '************************************************************************* zEZLKWm9- eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) JFgoN,xn GetConic eID, entity, curv, conic /-6S{hl9Ne jCTAKaq SetConic eID, entity, 1/Rpost, CCpost =AVgIv Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost lpH=2l$>? P}.7Mehf '************************************************************************* '0$?h9" 'Lens thickness (Position of posterior lens surface) )2,eFNB#n '************************************************************************* pZ#ap<|>I IVlf=k parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %4\OPw& [m+iQVk' ' Delete any z-shift(s) zI~owK)%Z count = 0 1FtM>&%4 While GetOperationCount(eID)>count n.hv!W0 GetOperation eID, count, op ~}K5#< If op.Type="ShiftZ" Then i(?,6)9 DeleteOperation eID,count ]|_\xO( count=count-1 X-Wz:NA End If tNVV)C count=count+1 zrVC8Wb Wend ,G#.BLH
cX ?PTk1sB 'Set new z-shift qyHZ M}/ op.Type = "ShiftZ" ?Qb<-~~
j1 op.val1 = tlens kt4d;4n op.parent = parID jL)WPq!m+ AddOperation eID, op VF&Z%O3n Print "Set lens thickness = " & tlens qo)?8kx>l R:p62c;Tv0 '************************************************************************* @|a>&~xX 'Lens index of refraction "U.^lkN '************************************************************************* &D%(~|' eID = FindMaterial( "Lens" ) 7u\*_mrv GetModelMaterial eID, mat ~)? LJX-AO.4 mat.Nd = nlens `si#aU SetModelMaterial eID, mat *&AfR8x_z Print "Set lens index of refraction = " & nlens ylKmj]A /v095H@ '************************************************************************* c:83LZ 'Pupil diameter -/]W+[ '************************************************************************* nN$Y(2ZN eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XWJwJ ( 6(x'ByT 'Adjust pupil diameter (trimming volume inner hole) @DW[Z`X ?=GXqbS" SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5 ,0d +.RKi! ' Adjust pupil location to just in front of the lens @`FCiH M parID = FindFullName( "Geometry.Arizona Eye" ) 3Rm#-T s eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PNW \*;j count = 0 4`#F^2r! While GetOperationCount(eID)>count +7Kyyu)y@ GetOperation eID, count, op Hn,:`mj4-6 If op.Type="ShiftZ" Then )pw&c_x DeleteOperation eID,count 0'&X
T^" count=count-1 LtT\z<bAI End If bYe;b><G count=count+1 BF{w)=@/' Wend = sAn,ri op.Type = "ShiftZ" zU6a'tP op.val1 = taq-0.01 UEak^Mm;=2 op.parent = parID 3Q/#T1@ AddOperation eID, op JcJmds _wb0'xoK" Print "Set pupil diameter = " & pupilDiam MH|]\ @{h?+
d 'Update AZ Eye subassembly Description ch5s<x#CE eID = FindFullName( "Geometry.Arizona Eye" ) 7z_;t9Y GetEntity eID, entity \qi|Js*{ entity.Description = "Accommodation = " & A & "D" L]a`"CH:a$ SetEntity eID, entity OT
%nr zP 8#R?]Uwq Update Gf8s?l Print "DONE!" 'H9=J*9oG _<ut)G^9 End Sub 3CTX -#)vS 0"pVT%b 如果屈光度是4,光瞳直径是4,则会输出如下数据: OPpjuIRv wx=0'T-[ Accommodation = 4 Diopters \EoX8b}$b0 Pupil Diameter = 4 mm I[o*RKT'" Set aqueous humor thickness = 2.81 w^K^I_2ge Set anterior lens radius = 10.4 and conic constant = -2.375869 ]j>i.5 Set posterior lens radius = -4.424557 and conic constant = -3.081019 ]L2Oz Set lens thickness = 3.927 fJjgq)9 Set lens index of refraction = 1.42672 (_*
wt]"' Set pupil diameter = 4 l? #xAZx&_ DONE! -6Tk<W
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