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简介 \_VmY!I5\ )gXTRkmw 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。 ET-Vm >] 8lwM{?k$ 模型 FT.@1/ ) Pp*}R2 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。 M#a&\cqC yX!#a>d"H Table 1. AZ眼睛模型的定义 ezZph"& 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. A[H;WKn0 M<(u A' 光源 2B` 8eb *Jt8 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。 <HQ&-j x xl2g0? t5)J;0/ 图1. 光源和提示信息使用 F=}Z51|:~ 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。 \hbiU] _M5Xk? e= 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。 54q3R`y vg(K$o{BT 图2. 字母F光源的设定方法光 hhmGv9P doD>m?rig3 图3. 字母F在视网膜上位置点列图 Of`c`-<j 视网膜的散射 bk3Unreh e<5Y94YE 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。 >IY,be6>P };sMU6e 4*M@]J " 图4. 视网膜朗伯散射设定 ]a/'6GbR 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。 ;&,.TC?l JD~a UB% 0 {R/<N 图5. 视网膜重点采样规格设定 B*,?C]0{ 脚本 6[?}6gQ ~>%DKJe 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: %;O}FyP Wsm`YLYkt! 图6. 用户对话框的创建与编辑 5f{|"LG& 图7. 用户对话框编辑器 G$5m$\K 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。 -3hCiKq 余下的脚本计算与屈光度有关的所有参数。 >5Lexj FFe)e>bH 分析 <4mQ*6 qI2'u % 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Fe$/t( A/ 0qk 图7. 字母F在视网膜上颜色分析 j|K.i/ 脚本代码 1r571B*O +v15[^F Option Explicit 'Remove this to enable non-dimensioned variables to be used. >V!LitdJ &1Fply7(Ay Dim entity As T_ENTITY xjq0D[ Dim op As T_OPERATION 0ar=cuDm Dim mat As T_MODELMATERIAL k'+}92
o Dim A As Double 4P kfUMX Dim pupilDiam As Double ]rW8y%yD Dim eID As Long h0VzIuV Dim parID As Long N5 n> Dim count As Integer 0*7*RX Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2k1aX~? Dim tlens As Double, nlens As Double FA$zZs10\ Dim curv As Double, conic As Double !R:y'Y%j Dim ok As Long z $6JpG Z+idLbIs Sub Main ,{{SI 6/2v '用户输入对话框 xl]
;*& Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <NB41/ TextBox 220,21,40,21,.TextBox1 'default: 0 'b[0ci: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 I/p]DT OKButton 40,91,90,21 zvf3b!} CancelButton 190,91,90,21 N z~"vi(t Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &" h]y?Q TextBox 220,49,40,21,.TextBox2 'default: 4 U9ZbVjqv@ End Dialog @ {}rG8 Dim dlg As UserDialog ,Y!zORv<7 nGa1a ok = Dialog (dlg) t26ij`V nl@E[yA9[ If ok=0 Then 'cancel button was pressed kuS/S\Z5K Print "Execution cancelled." p4mY0Y]mP End FH\CK End If
BGqa-d y\[r(4h 'Assign accommodation and pupil diameter & use defaults if field left empty NWKi
()nA% If dlg.TextBox1 = "" Then (9GbG" A = 0 'Default accommodation ULl_\5s2 Else iBvOJs A = CDbl(dlg.TextBox1) I;j3*lV_ End If Z?1OdoT- ?q Xs- If dlg.TextBox2 = "" Then uec|S\~M pupilDiam = 4 'Default pupil diameter uva\0q Else l$XA5#k
pupilDiam = CDbl(dlg.TextBox2) XxOn3i End If r95zP]T K`4GU[ul Print " " GqUSVQ Print "Accommodation = " & A & " Diopters" Lt>7hBe" Print "Pupil Diameter = " & pupilDiam & " mm" A3s57.Z]| l)8sw= ' Calculate new parameters with accommodation gaeOgP.0 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness r/AHJU3&eY (I=6Nnt' Rant = 12.0 - 0.4*A 'Radius of anterior lens Q]\j>> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens >L[lV_M_> -P#nT 2 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 4<}A]BQVkJ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &jm[4'$
*z =Ahw%`/&}] tlens = 3.767 + 0.04*A 'Lens thickness IVteF*8hU iz`jDa Q|1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction p>p'.#M -,GEv%6c 'Adjust parameters to account for accommodation E5{n?e SDc"
4g` '************************************************************************* 3*WS"bt 'Aqueous thickness (Position of Lens) :]c=pH '************************************************************************* x/ I;nMY eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Yu3_=:
<C GetCustomElement eID, entity ]{Ek[Av YMu) parID = FindFullName( "Geometry.Arizona Eye" ) btQet. j9xXKa5 ' Delete any shift(s) in z fn1pa@P count = 0 :[?!\m%0 While GetOperationCount(eID)>count E@pFTvo GetOperation eID, count, op Z#7U
"G-A If op.Type="ShiftZ" Then vlQ0gsXK DeleteOperation eID,count }n95< { count=count-1 kfCKhx End If z!CD6W1n count=count+1 v3^t/[e~: Wend W5/};K\. 4oJ$dN 'Set new shift in /{we;Ut=g op.Type = "ShiftZ" \)R-A
'*U op.val1 = taq JS7dsO0; op.parent = parID &<h?''nCy AddOperation eID, op K:w]>a Print "Set aqueous humor thickness = " & taq-0.55 }+DDJ6Jzs rfTe '************************************************************************* wOcg4HlW 'Radius and conic constant of anterior lens ]fC7%"nB '************************************************************************* ND*]gM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^&m?qKN8 GetConic eID, entity, curv, conic STB-guia5 o7arxo\ SetConic eID, entity, 1/Rant, CCant XnA6/^ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant pqq?*\W&[v 7jT}{
x '************************************************************************* CB({Rn 'Radius and conic constant of posterior lens 0n5!B..m} '************************************************************************* z8tl0gd%D eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) YFqZe6g0$ GetConic eID, entity, curv, conic 2 `&<bt[g kW(Kh0x SetConic eID, entity, 1/Rpost, CCpost {]["6V6W Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost u _X}-U 4W-"|Z_x '************************************************************************* 8m7;x/0ld 'Lens thickness (Position of posterior lens surface) "Q?_ EE n '************************************************************************* xgs@gw7!n0 GLcd9|H parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h--45`cE Y?t2,cm ' Delete any z-shift(s) [`9^QEj count = 0 dyl
0]Z While GetOperationCount(eID)>count qmID-t" GetOperation eID, count, op mt^`1ekoY If op.Type="ShiftZ" Then N(BiOLZL6 DeleteOperation eID,count 9m~t
j_ count=count-1 P57GqT End If 3W'FcE)|E count=count+1 1t#XQ?8 Wend ^Po,(iIn raF]
k0{ 'Set new z-shift AZBC P op.Type = "ShiftZ" 0V7 _n op.val1 = tlens '$*[SauAG op.parent = parID 19&)Yd1 AddOperation eID, op R9r)C{63S& Print "Set lens thickness = " & tlens z \^ <
GU '************************************************************************* E@mkm 'Lens index of refraction %HVD^. V '************************************************************************* sL8>GtVo eID = FindMaterial( "Lens" ) 2_.CX(kI GetModelMaterial eID, mat e3pnk
=u `Jqf**t mat.Nd = nlens I3An57YV]. SetModelMaterial eID, mat (QKsB3X Print "Set lens index of refraction = " & nlens :fW.-^"VP *F..ZS'$[ '************************************************************************* vgN@~Xa 'Pupil diameter ?#i|>MRR> '************************************************************************* >'.[G:b eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _1\poAy k|5k8CRX 'Adjust pupil diameter (trimming volume inner hole) @Rf^P( SlT7L||Ww SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" cPSti "G@E6{/ ' Adjust pupil location to just in front of the lens EFD?di)s parID = FindFullName( "Geometry.Arizona Eye" ) St_Sl:m$ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) hu&n=6 count = 0 ~9bv Wd1D While GetOperationCount(eID)>count Z) t{JHm: GetOperation eID, count, op <a fO 6?` If op.Type="ShiftZ" Then eZA6D\ DeleteOperation eID,count cX Ma\#P count=count-1 yduuFK End If h*l
cEzG?A count=count+1 lZBv\JE Wend 1Lc8fP$ op.Type = "ShiftZ" t)KPp|& op.val1 = taq-0.01 C&e8a9*,(a op.parent = parID 8ZFH}v@V1' AddOperation eID, op R7,pukK Z|}H^0~7S Print "Set pupil diameter = " & pupilDiam i"<ZVw -GFwFkWm 'Update AZ Eye subassembly Description q{[1fE"[K4 eID = FindFullName( "Geometry.Arizona Eye" ) g(1"GKg3K GetEntity eID, entity y%JF8R;n entity.Description = "Accommodation = " & A & "D" _E&U?>g+ SetEntity eID, entity YT][\x r<v_CFJ Update :ET x*c Print "DONE!" n00z8B1j(l fG3wc
l~ End Sub M`(;>Kp7 M.X}K7Z_/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: $G)&J2zL 6R L~iD;X Accommodation = 4 Diopters ]LMiMj Pupil Diameter = 4 mm t&38@p Set aqueous humor thickness = 2.81 1T:)Zv' Set anterior lens radius = 10.4 and conic constant = -2.375869 ]bf' Set posterior lens radius = -4.424557 and conic constant = -3.081019 $f9 ,##/ Set lens thickness = 3.927 X,&`WPA:S Set lens index of refraction = 1.42672 a$A2IkD Set pupil diameter = 4 d4Ixuux<3 DONE! S io1Q0
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