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简介 |4mvB2r 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。 zz*PAYl. /u$'=!<b; 模型 `2 <:$] x1eC r_ 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。 4<-Kd~uL .rK0C) Table 1. AZ眼睛模型的定义 *|=D 0 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. t.ulG
* !}!KT(%% 光源 'oIE:#b DDr\Kv)k( 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。 )5b_>Uy X_2N9$}, fv7VDo8vb 图1. 光源和提示信息使用 W+i^tmj 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 } [#8>T ,7s>#b' 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 MZz9R*_VS 3 ZOD2:( 图2. 字母F光源的设定方法光 U(f@zGV {P6Bfh7CZ 图3. 字母F在视网膜上位置点列图 %"f85VfZ 视网膜的散射 5b:1+5iF- ZhY{,sy?QO 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 J,Ki2'= -4x! #|] MZ"V\6T] 图4. 视网膜朗伯散射设定 xq;>||B 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 g!~SHW)l vNw(hT5750 9Vm
aB 图5. 视网膜重点采样规格设定 '^)'q\v'k 脚本 GUu8 N /
<(|4e 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: =wX;OK|U(^ %$ya>0?mq 图6. 用户对话框的创建与编辑 1e[?}q]* 图7. 用户对话框编辑器 d`=
~8` 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。 us.[wp'Sh 余下的脚本计算与屈光度有关的所有参数。 Kk},
PU= K.yc[z)un 分析 W$jRS ]izHn; + 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Y)k"KRW+ 'yCVB&`b 图7. 字母F在视网膜上颜色分析 QqF<HCO 脚本代码 ]lA}5 IrZjlnht Option Explicit 'Remove this to enable non-dimensioned variables to be used. = -oP,$k Y!j/,FU Dim entity As T_ENTITY _t-6m2A Dim op As T_OPERATION <9&GOaJ Dim mat As T_MODELMATERIAL p|gVIsg[-e Dim A As Double :WWHEZK Dim pupilDiam As Double FZgf"XM> Dim eID As Long ,IhQ %)l Dim parID As Long M;XU"8 Dim count As Integer N_
ODr]L Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Vl$RMW@Ds Dim tlens As Double, nlens As Double oPs asa Dim curv As Double, conic As Double iY`[dsT Dim ok As Long RK@K>)"f #^RIp>NN9 Sub Main h*^JFZb IsT}T}p,t '用户输入对话框 cWnEp';. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }'vQUGu8z TextBox 220,21,40,21,.TextBox1 'default: 0 9=}#.W3. Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1;m?:|6K{ OKButton 40,91,90,21 \#biwX CancelButton 190,91,90,21 5xr2 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 =,*/Ph& TextBox 220,49,40,21,.TextBox2 'default: 4 V #vkj End Dialog yx#!2Z0hw Dim dlg As UserDialog ,8DC9yM,
bo/U5p ok = Dialog (dlg) KOR*y(* 8 v "2A? If ok=0 Then 'cancel button was pressed MA{ZmPm) Print "Execution cancelled." rk%pA-P2 End _H U>T End If PM@_ZJ'x \gT({XU? 'Assign accommodation and pupil diameter & use defaults if field left empty _l)3pm6 If dlg.TextBox1 = "" Then Lwtp,.)pR A = 0 'Default accommodation z*VK{O)o Else jKcl{', A = CDbl(dlg.TextBox1) ]hlQU%& End If k3LHLJZ# ;]R5:LbXS If dlg.TextBox2 = "" Then 7lYf+&JZ pupilDiam = 4 'Default pupil diameter {y{O ze Else ?pQ0*
O0 pupilDiam = CDbl(dlg.TextBox2) 43=)akJi End If \*5z0A9)5) k{!9f=^
Print " " L5:1dF Print "Accommodation = " & A & " Diopters" `E;xI v| Print "Pupil Diameter = " & pupilDiam & " mm" b$Ei>%'/"; fM&
fqI ' Calculate new parameters with accommodation iqoMQ7% taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 2I suBX\[ 2ETv H~23 Rant = 12.0 - 0.4*A 'Radius of anterior lens |pknaz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens wg
k[_i <D& Ep Rpost = -5.224557 + 0.2*A 'Radius of posterior lens jc32s}/H CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens lV./K;\T )`<&~>qp tlens = 3.767 + 0.04*A 'Lens thickness RHd no C -j Nnx* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction T#e|{ZCbq !mVq+_7] 'Adjust parameters to account for accommodation !gsrPM Y HgNL LZ? '************************************************************************* ]2&RN@
'Aqueous thickness (Position of Lens) f6(1jx" '************************************************************************* wqjR-$c eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :v45Ls4J GetCustomElement eID, entity ;xFB
/, M`iE'x parID = FindFullName( "Geometry.Arizona Eye" ) {a2Gb 0e:j=kd)NH ' Delete any shift(s) in z 9%Vy, count = 0 19[.&-u" While GetOperationCount(eID)>count Ag{)?5/d_ GetOperation eID, count, op H:Q4!< If op.Type="ShiftZ" Then re4z>O* DeleteOperation eID,count :"nh76xg< count=count-1 GAs.?JHd End If :Ez*<;pF' count=count+1 p?
w^|V Wend vXM{) 3 l
j^I 'Set new shift in ".pQM.T op.Type = "ShiftZ" x*X{*?5@ op.val1 = taq ; Ob^@OM op.parent = parID S s+ AddOperation eID, op [T3%Xt'4 Print "Set aqueous humor thickness = " & taq-0.55 dtG>iJ 6Xn9$C) '************************************************************************* 8"[{[<- 'Radius and conic constant of anterior lens
fC}uIci '************************************************************************* "2tKh!?Q eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {XC[Ia6jtL GetConic eID, entity, curv, conic A&jR-%JG &tiJ=;R1 SetConic eID, entity, 1/Rant, CCant XQOM6$~, Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7pyaHe ZBQ @S '************************************************************************* =<TJ[,h
et 'Radius and conic constant of posterior lens so Lmr's '************************************************************************* ?5%o-hB| eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XrXW6s;Z GetConic eID, entity, curv, conic z63y8 7?vj+1; SetConic eID, entity, 1/Rpost, CCpost &
\C1QkI Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost yI-EF)A@; pUu<0a^ '************************************************************************* zW`a]n. 'Lens thickness (Position of posterior lens surface) iJKGzHvS '************************************************************************* Nn?$}g yKz%-6cpSl parID = FindFullName( "Geometry.Arizona Eye.Lens" ) l&Y'5k_R vr6YE;Rs ' Delete any z-shift(s) r&F
6ZCw count = 0 z$ {[Z= While GetOperationCount(eID)>count u2[L^]| GetOperation eID, count, op g<$2#c} If op.Type="ShiftZ" Then 0<f.r~ DeleteOperation eID,count _ib
@<% count=count-1 "kVzN22 End If |v1*
[( count=count+1 v5{2hCdt Wend Bob-qCBV F]0
qt$GO 'Set new z-shift &xt
GabNk op.Type = "ShiftZ" Jy('tfAHp op.val1 = tlens ]9W7]$ op.parent = parID rJRg4Rog AddOperation eID, op P%!=Rj^ 2m Print "Set lens thickness = " & tlens PY+4OZ$ V&Rwj_Y '************************************************************************* 43O5|8o 'Lens index of refraction 1FT3d '************************************************************************* `'pAiu eID = FindMaterial( "Lens" ) -]n%+,3L
GetModelMaterial eID, mat uZI7,t -7 {&6i$4T mat.Nd = nlens G9GLRdP SetModelMaterial eID, mat % w Print "Set lens index of refraction = " & nlens /f AAQ7 $>+g) '************************************************************************* }O| 9Qb 'Pupil diameter MGre_=Dm_ '************************************************************************* (<e<Q~( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) i1bmUKZ8'L *O_^C 'Adjust pupil diameter (trimming volume inner hole) Jz P0D' )V_;]9<wt SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" _,d<9 Y) C46jVl ' Adjust pupil location to just in front of the lens \F""G,AWq{ parID = FindFullName( "Geometry.Arizona Eye" ) hMV>5Y[s eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dT (i*E\j count = 0 !?+q7U While GetOperationCount(eID)>count ~-R2mAUK GetOperation eID, count, op !aL=R)G&e If op.Type="ShiftZ" Then <vD(,|| DeleteOperation eID,count p(Osz7K count=count-1 |f.,fVVV; End If h@y>QhYU0 count=count+1 (=EDqAZg Wend ~03MH' op.Type = "ShiftZ" :-$8u;!M op.val1 = taq-0.01 t%<y^Wa= op.parent = parID es=OWJt^ AddOperation eID, op (vvD<S* :fq4oHA# Print "Set pupil diameter = " & pupilDiam _-9cGm v )+w1nw|m 'Update AZ Eye subassembly Description 6E9/z eID = FindFullName( "Geometry.Arizona Eye" ) 8B5WbS fL^ GetEntity eID, entity k,f/9e+# entity.Description = "Accommodation = " & A & "D" gFTlP SetEntity eID, entity uU^iY$w y*v|q= Update !ab ef.%: Print "DONE!" HPJHA , mZjpPlJ End Sub Zj1bG{G=i Z&P\}mm 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,|.}6\zl*{ bX`Gv+ Accommodation = 4 Diopters ='m%Iq7X Pupil Diameter = 4 mm e0otr_)3F Set aqueous humor thickness = 2.81 #N'9
w . Set anterior lens radius = 10.4 and conic constant = -2.375869 %O<8H7e)V Set posterior lens radius = -4.424557 and conic constant = -3.081019 ?,8+1"|$A] Set lens thickness = 3.927 U~;tk@ Set lens index of refraction = 1.42672 a ~W Set pupil diameter = 4 $$"G1<EZ DONE! Kr `/sWZ ;[(d=6{hc] (文章来源:讯技光电)
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