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简介 h`D+NZtWm 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。 rW2l+:@c k^%F4d3z@C 模型 H284
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cTf' 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。 Sr-!-eC |iVw7M: Table 1. AZ眼睛模型的定义 qSQsY:]j0 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. Vah.tOU F D.L{ 光源 CMfR&G,) Px`z$~*B: 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 t.]e8=dE ;h4w<OqcM 4K! @9+Mz 图1. 光源和提示信息使用 Ns-3\~QSi 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 eSSv8[u rlkg.e6 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 @qB1:==@7 (oB9$Zz!t 图2. 字母F光源的设定方法光 7.B]B,] &Fl*, 图3. 字母F在视网膜上位置点列图 okD7!)cr= 视网膜的散射 SI;SnF'[7 r%II`
i 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。 k5)e7Lb( C6c]M@6
MU~nvs;: 图4. 视网膜朗伯散射设定 rY(^6[ ! 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。 ,IG?(CK| ^/jALA9! K[i|OZWu 图5. 视网膜重点采样规格设定 lHSuT2)x; 脚本 } mEsb? |79n
1;+\? 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: `L
{dF /qO?)p3gk 图6. 用户对话框的创建与编辑 :_+Fe,h>| 图7. 用户对话框编辑器 ~f]I0FK 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。 e[J0+
x#;r 余下的脚本计算与屈光度有关的所有参数。 b{lkl?@a *M()z.N 分析 G1:2MPH VTxLBFK; 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 RLX?3u& .\b# 0w 图7. 字母F在视网膜上颜色分析 x2H?B`5 脚本代码 #:M)a?E/% } T1~fa Option Explicit 'Remove this to enable non-dimensioned variables to be used. >-YWq HtGGcO'bqg Dim entity As T_ENTITY k{j (Gb2sp Dim op As T_OPERATION 9oJ=:E~CP Dim mat As T_MODELMATERIAL *dm?,~f%< Dim A As Double lBnG!!VrWa Dim pupilDiam As Double I4^}C;p0? Dim eID As Long _J`q\N
K Dim parID As Long q=h~zjQ?R Dim count As Integer &d^u$Y5 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]Vgl Dim tlens As Double, nlens As Double Ga}&% Dim curv As Double, conic As Double aqAWaO Dim ok As Long JOJ?.H&su VC@{cVT Sub Main R2$;f?;: y #Xq@ '用户输入对话框 wH Q$F(by Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G'
'l,\3 TextBox 220,21,40,21,.TextBox1 'default: 0 \Q<Ur&J]% Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _oJq32 OKButton 40,91,90,21 _P*<T6\J> CancelButton 190,91,90,21 Y l1sAf/ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )R`w{V TextBox 220,49,40,21,.TextBox2 'default: 4 *PjW, End Dialog |4s`;4c& Dim dlg As UserDialog 30v 3C7o= -5 YvtL ok = Dialog (dlg) Z;#Ei.7p| `Vqpo/ If ok=0 Then 'cancel button was pressed Y|iJO>_Uu= Print "Execution cancelled." GKNH{|B$D End |Skk1# End If a}+7MEUmZ/ R1DXi 'Assign accommodation and pupil diameter & use defaults if field left empty Xbb('MoI63 If dlg.TextBox1 = "" Then PDnwaK A = 0 'Default accommodation }#/,nJm' Else 1MCHwX3/ A = CDbl(dlg.TextBox1) P]@m0f End If 'e4 ;,m \e/'d~F If dlg.TextBox2 = "" Then IP` ;hC pupilDiam = 4 'Default pupil diameter + fQ=G/ Else u8Au ` pupilDiam = CDbl(dlg.TextBox2) b1}P3W End If a
N| MBX; pA*cF!tq7 Print " " bX:ARe
O Print "Accommodation = " & A & " Diopters" DM*mOT Print "Pupil Diameter = " & pupilDiam & " mm" 6uYCU|JsU Zq--m/ ' Calculate new parameters with accommodation &Oq&ikw taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness T/"6iv\1 -VESe}c:nQ Rant = 12.0 - 0.4*A 'Radius of anterior lens K>TdN+Z}= CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens wPDA_ns~ u $N2uFc Rpost = -5.224557 + 0.2*A 'Radius of posterior lens | 1Fy CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens .ya^8gM byYdX'd. tlens = 3.767 + 0.04*A 'Lens thickness tVZjtGz= J>P{8Aw nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction L_.BcRy .pgTp X 'Adjust parameters to account for accommodation .VVY]>bJg@ &P%3'c}G '************************************************************************* bGvALz' 'Aqueous thickness (Position of Lens) 0)V<)"i '************************************************************************* b:Lp`8Du eID = FindFullName( "Geometry.Arizona Eye.Lens" ) [e
)j,Q1 GetCustomElement eID, entity bmEo5f~C! Zi=Nr3b parID = FindFullName( "Geometry.Arizona Eye" ) M?4)U"_VE )k0P' zGb ' Delete any shift(s) in z Yw=Ve 0 count = 0 kmM1)- v While GetOperationCount(eID)>count m9UI3fBX GetOperation eID, count, op d*=P8QwL| If op.Type="ShiftZ" Then }"<|.[V) DeleteOperation eID,count /a\6&Eb count=count-1 ln7{c #lE End If edqek jh count=count+1 D L_{q6ZK Wend bE2^sx`( \cdNyVY 'Set new shift in maLKUSgo op.Type = "ShiftZ" SUXRWFl op.val1 = taq "_JGe#= op.parent = parID FW:x XK AddOperation eID, op *doK$wYP Print "Set aqueous humor thickness = " & taq-0.55 z!5^UD8"W &}S#6|[i '************************************************************************* ^WP`;e 'Radius and conic constant of anterior lens a3
<D1" '************************************************************************* "P=OpFV eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5C/W_H+9iK GetConic eID, entity, curv, conic <8p53*a , gk49z9 SetConic eID, entity, 1/Rant, CCant *z`_U]tP Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "jzU` 8*3<Erv '************************************************************************* 3qPj+@ 'Radius and conic constant of posterior lens DPJ#Y -0 '************************************************************************* ~AxA , eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 3(':4Tas GetConic eID, entity, curv, conic &IM;Yl nnX,_5s SetConic eID, entity, 1/Rpost, CCpost v2:A 4Pd:+ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Tm5]M$) @.T
'>;izr '************************************************************************* FyX\S= 'Lens thickness (Position of posterior lens surface) ["4h%{. '************************************************************************* s_-G`xT>{ <<gk<_7` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) LY[XPV]t zRdL-u%(# ' Delete any z-shift(s) <\GP\G count = 0 `3^*K/K\ While GetOperationCount(eID)>count D)XF@z; GetOperation eID, count, op EA9`-xs| If op.Type="ShiftZ" Then >6Y\CixN DeleteOperation eID,count y^tuybpZY< count=count-1 @FKNB.> End If %geiJ z count=count+1 ";yCo0* Wend "tB"C6b ULqnr@/FbK 'Set new z-shift
@dQIl# op.Type = "ShiftZ" a:Jsi= op.val1 = tlens 4G0Er?D
op.parent = parID "5u*C#T2$ AddOperation eID, op .w\AyXp Print "Set lens thickness = " & tlens R)d1]k8 x2/\%!mt '************************************************************************* An!1>`8r 'Lens index of refraction YU.aZdA&V3 '************************************************************************* %KK6}d# eID = FindMaterial( "Lens" ) [ !/u, GetModelMaterial eID, mat Y&KI/]ly,L `P<}MeJ\l mat.Nd = nlens ?Z=
%I$i SetModelMaterial eID, mat ]#;;)K}> Print "Set lens index of refraction = " & nlens T;qP"KWZ -jdS8n4 '************************************************************************* 6gV-u~j [# 'Pupil diameter P:vAU8d> '************************************************************************* M eo(|U eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;75K:_ Aq%TZ_m 'Adjust pupil diameter (trimming volume inner hole) +<7~yZ[Z8 P2pdXNV SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" e/JbRbZX B-PN +P2 ' Adjust pupil location to just in front of the lens "n3r, parID = FindFullName( "Geometry.Arizona Eye" ) 6r{NW9y' eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |;e K5(| count = 0 ~kPHf_B;z While GetOperationCount(eID)>count L#mf[a@pCn GetOperation eID, count, op <VI.A" Qk~ If op.Type="ShiftZ" Then xX$'u"dsA DeleteOperation eID,count >J!4x(;Yh count=count-1 "/[xak!g End If tIfA]pE count=count+1 N,fEta6 Wend !qk+>6~A, op.Type = "ShiftZ" -J*BY2LU3f op.val1 = taq-0.01 ewHk
(ru op.parent = parID '4k
l$I AddOperation eID, op #v+2W 7pf]h$2 Print "Set pupil diameter = " & pupilDiam 4H'\nsM .anXsjD%W 'Update AZ Eye subassembly Description 3gtQS3$4s eID = FindFullName( "Geometry.Arizona Eye" ) DCr&%)Ll GetEntity eID, entity T1AD(r\W5 entity.Description = "Accommodation = " & A & "D" 0N.B=j| SetEntity eID, entity L!G]i;=: ?e( y/ Update [w*YH5kX Print "DONE!" mU@pRjq= dC+WII`V End Sub }2c)UQD8
+l'l*< 如果屈光度是4,光瞳直径是4,则会输出如下数据: Kv(2x3(" [Z~h!} Accommodation = 4 Diopters !YX$4_I Pupil Diameter = 4 mm
mY6d+ Set aqueous humor thickness = 2.81 "LZQ1P*ef$ Set anterior lens radius = 10.4 and conic constant = -2.375869 Ai>=n; Set posterior lens radius = -4.424557 and conic constant = -3.081019 \cJ?2^Eq Set lens thickness = 3.927 #o`y<1rN Set lens index of refraction = 1.42672 KA~eOEjM Set pupil diameter = 4 b)ytm=7ha DONE! zv[$N, L_4c~4 (文章来源:讯技光电)
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