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简介 jOT/|k 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。 \d;)U4__! ]r#b:W\ 模型 x'0_lf</# >/74u/& 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。 ho$}#o 9C)VW Table 1. AZ眼睛模型的定义 @2T8H 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. 6hj[/O)E CJk"yW[,| 光源 (-$5YKm B>1,I'/$. 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。 ?;o0~][! LBq2({=" @Y `Z3LiR$ 图1. 光源和提示信息使用 R]yce2w" z 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。 S(CkA\[rz &Y^4>y% 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@]SddP,? ' ds2\gN 图2. 字母F光源的设定方法光 1qR$ Yr\ %~:\f#6 图3. 字母F在视网膜上位置点列图 j5D Cc,s 视网膜的散射 hY!ek;/Gc 4AzDWK@/ 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。 iT:i
'\~ 4!Radl3` +EjXoW7V 图4. 视网膜朗伯散射设定 x"sbm 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。 w2xD1oK~o ^~N:lW#= cBqbbZyUk 图5. 视网膜重点采样规格设定 cWo>DuW& 脚本 qqo#H O mxZ+r#|di 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: omg#[ lusUmFm'* 图6. 用户对话框的创建与编辑 kSiyMDY- 图7. 用户对话框编辑器 OIj.K@Kr 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。 C9?mxa*z 余下的脚本计算与屈光度有关的所有参数。 I'BHNZO5tf %\HE1d5; 分析
ilQ}{p6I L4B/
g)K 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .`~?w+ ~ cY5;~lO 图7. 字母F在视网膜上颜色分析 QxG^oxU} 脚本代码 I4%kYp] EpO2%|@ Option Explicit 'Remove this to enable non-dimensioned variables to be used. b>QdP$> OqS!y(
( Dim entity As T_ENTITY 2]?=\_T Dim op As T_OPERATION QY4;qA Dim mat As T_MODELMATERIAL qE2VUEv5Y Dim A As Double \"$P :Uv Dim pupilDiam As Double bK!h{Rr Dim eID As Long .'A1Eoo0d Dim parID As Long 5qH*"i+|s Dim count As Integer c_ncx|dUs Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double d)V8FX,t Dim tlens As Double, nlens As Double 4v/MZ:%C` Dim curv As Double, conic As Double T8Mqu`$r Dim ok As Long )EB+(c~E !AJkd. Sub Main ~b*]jZwT Pb;c:HeI/ '用户输入对话框 pt"9zkPj Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 k
L6s49 TextBox 220,21,40,21,.TextBox1 'default: 0 2DPv7\fW Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 MG=8`J-` OKButton 40,91,90,21 d'Bxi"K
CancelButton 190,91,90,21 i,^3aZwJ' Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 sM MtU@<x TextBox 220,49,40,21,.TextBox2 'default: 4 9vyf9QE; End Dialog @Q,Q"c2 Dim dlg As UserDialog { rLgyrj$ \8$~ i ok = Dialog (dlg) *GoTN w>9d^kU' If ok=0 Then 'cancel button was pressed XX/s@C Print "Execution cancelled." TaD;_)( End iii|;v]+ End If 4 @{?4k-cq hsY?og_H 'Assign accommodation and pupil diameter & use defaults if field left empty L$3 lsu!4n If dlg.TextBox1 = "" Then nl
'MWP A = 0 'Default accommodation 8cOft ;|qB Else fWq*Op.]c A = CDbl(dlg.TextBox1) 9h6Oq(0b8 End If -_Z 4)"k {aUTTEu If dlg.TextBox2 = "" Then \mh #MMp pupilDiam = 4 'Default pupil diameter CnL=s6XD' Else `WXlq#:K pupilDiam = CDbl(dlg.TextBox2) .\_RavW23 End If tXtNK2-1 z
mip Print " " '42$O Print "Accommodation = " & A & " Diopters" DNq(\@x[! Print "Pupil Diameter = " & pupilDiam & " mm" t?G6|3 9}9VZ r? ' Calculate new parameters with accommodation 1}a4AGAp taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness jG7PT66>; KWY_eY_| Rant = 12.0 - 0.4*A 'Radius of anterior lens 3<W%z]k@M CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens mTI`^e SC~k4&xy Rpost = -5.224557 + 0.2*A 'Radius of posterior lens an"~n`g CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens O_1[KiZ 3:nBl?G< tlens = 3.767 + 0.04*A 'Lens thickness dWQsC| :CE4<
{V nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction A/<u>cCW z4SJxL 'Adjust parameters to account for accommodation '+_>PBOc x']'ODs '************************************************************************* `5@F'tKQ 'Aqueous thickness (Position of Lens) 5_'lu '************************************************************************* J;obh.}u"{ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z,#H\1v3lB GetCustomElement eID, entity ;9k>;g3m [o#% Eg; parID = FindFullName( "Geometry.Arizona Eye" ) ia'z9 =|agW.l ' Delete any shift(s) in z >E+g.5
,:W count = 0 JnsJ]_< While GetOperationCount(eID)>count HGGq;Nbm GetOperation eID, count, op .^{%hc*w4 If op.Type="ShiftZ" Then :Mu*E5 DeleteOperation eID,count S/5QK(XLC) count=count-1 l@B9}Icq End If NV4g5)D&L count=count+1 nf
/*n Wend G@H!D[wd 4=tR_s 'Set new shift in iwJ_~ op.Type = "ShiftZ" d>hv-nD op.val1 = taq geR+v+B, op.parent = parID .}!.4J%q2 AddOperation eID, op Gc|)4c Print "Set aqueous humor thickness = " & taq-0.55 *z0d~j*W; g Y~r{ '************************************************************************* uMg\s\Z 'Radius and conic constant of anterior lens GkJcd; '************************************************************************* [Iks8ZWr_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 1.!U{>$ GetConic eID, entity, curv, conic >-A@6Qe_ |EE1S{!24m SetConic eID, entity, 1/Rant, CCant U7s$';y"% Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4qie&:4j uatUo '************************************************************************* -)}s{[]d6m 'Radius and conic constant of posterior lens nzflUR{`- '************************************************************************* )Zr9
`3[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) '}_r/l]K GetConic eID, entity, curv, conic -x//@8" }sXTZX SetConic eID, entity, 1/Rpost, CCpost 1]7gYNzV" Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _B^zm-}8|B n"EKVw7Y '************************************************************************* [%.v;+L 'Lens thickness (Position of posterior lens surface) \~5|~|9< '************************************************************************* jfuHZ^ YA aas.-NT parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .Fn|Okn^gr <>3)S`C`p ' Delete any z-shift(s) Ha@;Sz<R count = 0
_>-
D*l While GetOperationCount(eID)>count
;/K2h_=3z GetOperation eID, count, op cszvt2BIg If op.Type="ShiftZ" Then P3_.U8g$r DeleteOperation eID,count <sH}X$/ count=count-1 \Rny*px End If L80(9Y^xn count=count+1 ?"d$SK"6Z Wend e,U:H~+] 11=$]K> 'Set new z-shift &~,4$&_ op.Type = "ShiftZ" UD.bb op.val1 = tlens Jxe+LG op.parent = parID W$c@C02< AddOperation eID, op x}] 56f Print "Set lens thickness = " & tlens W7>2&$ 9@
tp# '************************************************************************* Zl9@E;|= 'Lens index of refraction w_(3{P[Iz '************************************************************************* HxG8'G eID = FindMaterial( "Lens" ) isZ5s\ GetModelMaterial eID, mat %nZl`<M ":Wq<Z' mat.Nd = nlens bNea5u## SetModelMaterial eID, mat Y?0/f[Ax,y Print "Set lens index of refraction = " & nlens JVE\{ e) GShxPH{_j '************************************************************************* j_Szw
w- 'Pupil diameter %**f`L%jN '************************************************************************* P-@MLIC{ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) [^5\Ww =S&`~+ 'Adjust pupil diameter (trimming volume inner hole) fj_23{,/"g 6Z2 ,:j; SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" tb3VqFx /DYyl/ ' Adjust pupil location to just in front of the lens g68p9#G parID = FindFullName( "Geometry.Arizona Eye" ) nr!N%Hi eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Ed9Uw7 count = 0 "s+4!, k While GetOperationCount(eID)>count U&5*>fd= GetOperation eID, count, op .G0 N+) If op.Type="ShiftZ" Then 5~*)3z^V DeleteOperation eID,count /(N/DMl[ count=count-1 Wlj&_~ End If / ;]5X count=count+1 *3GV9'-P Wend uw)7N(os\` op.Type = "ShiftZ" [0H0%z#tU& op.val1 = taq-0.01 .Mt3ec< op.parent = parID f[ ^f/jGm AddOperation eID, op M;(,0d k zKJ2~= Print "Set pupil diameter = " & pupilDiam ,?fJ0n:!% H];B?G';C 'Update AZ Eye subassembly Description m~=~DMj eID = FindFullName( "Geometry.Arizona Eye" ) G95,J/w GetEntity eID, entity +#W94s~0V entity.Description = "Accommodation = " & A & "D" 6
63o SetEntity eID, entity W'lqNOX[v zzqJeIS Update }Mcb\+[ Print "DONE!" }r:o8+4 sibYJK Oy End Sub \/A.j|by,> S{@}ECla 如果屈光度是4,光瞳直径是4,则会输出如下数据: JAPr[O& yIMqQSt79z Accommodation = 4 Diopters ZCiCZ)oc Pupil Diameter = 4 mm ]MbPivM Set aqueous humor thickness = 2.81 mgs(n5V5 Set anterior lens radius = 10.4 and conic constant = -2.375869 V~J5x >O Set posterior lens radius = -4.424557 and conic constant = -3.081019 &d# R'Z Set lens thickness = 3.927 :+rGBkw1m Set lens index of refraction = 1.42672 #(8|9 Set pupil diameter = 4 bDI%}k9# DONE! 7N.b-}$( d=!:UB (文章来源:讯技光电)
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