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简介 ESASsRzk 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。 |#2<4sd |$b 4{ 模型 bt&vik _ x{ZVq 4 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 sq)Nn&5A <qRw!
'S^ Table 1. AZ眼睛模型的定义 {@,
L 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 6y5arP*6e #lLL5ji 光源 -GKelz?h> T8hQ< \g 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 WD?V1:>+ BS|-E6E< {h%.i Et% 图1. 光源和提示信息使用 %""CacX 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 _mkI;<d]$T *j*jA/ 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。 xZhD6'Zzz Jc%>=`f 图2. 字母F光源的设定方法光 t=e0z^2i+ dnaf>G3 图3. 字母F在视网膜上位置点列图 Om1z
视网膜的散射 \qTn"1bQ \A~
'& 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。 [a
|fm*B! F#<PFT4i ~!nd'{{9 图4. 视网膜朗伯散射设定 c3pt?C 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。 bA^a@ lv a fVN}7PH7+ '
R@<4Ib| 图5. 视网膜重点采样规格设定 (7wR*vO^ 脚本 =}"hC`3e 1Ev+':% 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: RYhdf .BUl$RW| 图6. 用户对话框的创建与编辑 Sd\@Q%
}o\ 图7. 用户对话框编辑器 0Its;| 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。 ^#Y6
E 余下的脚本计算与屈光度有关的所有参数。 jh?7+(Cw RtW5U8 分析 P3
Evv]sB@ s+w<!`- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 h9-Ky@X` G_<[sMC8 图7. 字母F在视网膜上颜色分析 =dw1Q 脚本代码 dB,#`tc=, eJA{]^Zf Option Explicit 'Remove this to enable non-dimensioned variables to be used. Uy1xNb/d #~f+F0#%? Dim entity As T_ENTITY $^XPk#$m Dim op As T_OPERATION D7(t6C=FP Dim mat As T_MODELMATERIAL mT>p:G Dim A As Double y,>m#6hx# Dim pupilDiam As Double 2&d&$Jg Dim eID As Long c\'pA^m6 Dim parID As Long &zd7t6 Dim count As Integer BT1'@qF Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ? 7EVmF Dim tlens As Double, nlens As Double ;E"mB4/) Dim curv As Double, conic As Double iHn]yv3
#
Dim ok As Long T> 'Vaxo IjRmpVcwN Sub Main -Mvw'#(0 eC{Z '用户输入对话框 y~=hM
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 . R}y"O\ TextBox 220,21,40,21,.TextBox1 'default: 0 %Tb|Yfyr C Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 'nS 3o. } OKButton 40,91,90,21 R qz()M CancelButton 190,91,90,21 FlG^'UD Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I}v#r8'! TextBox 220,49,40,21,.TextBox2 'default: 4 !dH&IEP~ End Dialog gWo~o]f Dim dlg As UserDialog <^_?hN8. kw~H%-,] ok = Dialog (dlg) j*`!o/=LI &s;^q If ok=0 Then 'cancel button was pressed j1C.#-P[ Print "Execution cancelled."
9tEKA|8 End kAliCD) End If &FVlTo1 Hu7zmh5FF 'Assign accommodation and pupil diameter & use defaults if field left empty 4Z<l>! If dlg.TextBox1 = "" Then @<=#i A = 0 'Default accommodation aF"Z!HD Else BZc- A = CDbl(dlg.TextBox1) ejY5n2V#= End If RT"2Us]* \=V[ba:q If dlg.TextBox2 = "" Then P$>kBW53 pupilDiam = 4 'Default pupil diameter h}>/Z3* Else PEt8,,x<" pupilDiam = CDbl(dlg.TextBox2) 7 aD&\? End If X/Rx]}[ &:#8ol(n5b Print " " l_-n&(N2<[ Print "Accommodation = " & A & " Diopters" cEjdImAzU Print "Pupil Diameter = " & pupilDiam & " mm" n{r#K_ 08?MS_ ' Calculate new parameters with accommodation xBfe8lor taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >m1V9A s7i.p] Rant = 12.0 - 0.4*A 'Radius of anterior lens aZ>\*1 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens dd7nO
:] dG?a"/MA Rpost = -5.224557 + 0.2*A 'Radius of posterior lens u=}bq{ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &E
riskI %O=V4%"m\ tlens = 3.767 + 0.04*A 'Lens thickness s [F' h-y ]</4#?_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction X7d.Ie hYXZ21(K# 'Adjust parameters to account for accommodation -yQ\3wli` nCMa$+ '************************************************************************* NVqC|uEAF 'Aqueous thickness (Position of Lens) kok^4VV '************************************************************************* Qr%Jm{_o eID = FindFullName( "Geometry.Arizona Eye.Lens" ) u\6]^T6 GetCustomElement eID, entity '(X[
w=WXy |z]2KjF&w- parID = FindFullName( "Geometry.Arizona Eye" ) q[OTaSQ~u^ V<V\0n!0 ' Delete any shift(s) in z L##8+OJ.L count = 0 X/8iJ-KB While GetOperationCount(eID)>count SKpPR;=q|: GetOperation eID, count, op }`N2ZxC0AQ If op.Type="ShiftZ" Then 6 _5d DeleteOperation eID,count H'GYJ ?U" count=count-1 }j(2Dl End If :sVHY2x count=count+1 `$sY^EX Wend 7Jx-W| #H6g&)Z_ 'Set new shift in {ogZT7w} op.Type = "ShiftZ" }t51U0b% op.val1 = taq AMD?LjY~ op.parent = parID gGX0+L@E AddOperation eID, op ?
TT8|Os Print "Set aqueous humor thickness = " & taq-0.55 N.{jM[\F !UMo4}Y '************************************************************************* yLz,V} 'Radius and conic constant of anterior lens K>cz63}S '************************************************************************* x:?a;m uf eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #xP!!.DF( GetConic eID, entity, curv, conic MFH"$t+ |[37:m SetConic eID, entity, 1/Rant, CCant q|u8CX Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant TwuX-b 2yQ}Lxr( '************************************************************************* GX@W"y 'Radius and conic constant of posterior lens Y
<Znv%M '************************************************************************* crNjI`%tw eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) R@<_Hb;Aeb GetConic eID, entity, curv, conic =`1m- PyMVTP4 SetConic eID, entity, 1/Rpost, CCpost 7/|F9fF@M Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E./__Mz@ kWs+2j '************************************************************************* "@{4.v^}! 'Lens thickness (Position of posterior lens surface) NYjS '************************************************************************* nQ642i%RQ dm2CA0 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) W ~Jzqp9g 98A(jsj ' Delete any z-shift(s) EDHg'q count = 0 `.>k)=F& While GetOperationCount(eID)>count ~#x:z^U GetOperation eID, count, op }(ma__Ao If op.Type="ShiftZ" Then $,KP]~? DeleteOperation eID,count SH
vaV[C count=count-1 om}/f` End If 7?MB8tJ5r4 count=count+1 `c' Wend %GX uuE}mX g8I!E$ 'Set new z-shift DikdC5>O>m op.Type = "ShiftZ" `V&1]C8x op.val1 = tlens CZyz;Jtk op.parent = parID ^Ti_<<X AddOperation eID, op P{S\pWZkk Print "Set lens thickness = " & tlens _~;&)cn,0 AfRW=&xdT '************************************************************************* SE^j= 1 'Lens index of refraction zLsb`)! '************************************************************************* x6^l6 N eID = FindMaterial( "Lens" ) ^sifEgG *d GetModelMaterial eID, mat =`Po<7D J3e:Y! mat.Nd = nlens 6Wpxp\ SetModelMaterial eID, mat iuC7Y| Print "Set lens index of refraction = " & nlens |(V?,^b^ro PS=e\(6QC '************************************************************************* D<U
9m3 'Pupil diameter D XV@DQ '************************************************************************* :zdEq")v eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 5@`F.F>" N]14 'Adjust pupil diameter (trimming volume inner hole) wG1y,u' %MJL5 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O' +"d%2' VL+N:wb> ' Adjust pupil location to just in front of the lens E6Q]A~ parID = FindFullName( "Geometry.Arizona Eye" ) /!GKh5| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 7]Al*) count = 0 l{Jt s I While GetOperationCount(eID)>count ]~-*hOcQ4 GetOperation eID, count, op nbI=r+ If op.Type="ShiftZ" Then 5@P%iBA4(3 DeleteOperation eID,count kE/`n],1U count=count-1 Y1{B c<tC End If ^GMJ~[] count=count+1 |3}5:k Wend <B6[i*& op.Type = "ShiftZ" 01udlW. op.val1 = taq-0.01 "8 N"Udu op.parent = parID ]3*P:$Rq AddOperation eID, op iF!mV5# i S% Print "Set pupil diameter = " & pupilDiam } h[>U d%0+i/p 'Update AZ Eye subassembly Description y
'Ol Q2U eID = FindFullName( "Geometry.Arizona Eye" ) o+nG3kRD GetEntity eID, entity c=6ahX}d entity.Description = "Accommodation = " & A & "D" ,c>N}*6h=W SetEntity eID, entity 4j>fI)FUW )kYOHS Update 0rD#s{? Print "DONE!" XCDSmZ 8j%'9vPi End Sub JqEW=5 }e 9!xA 如果屈光度是4,光瞳直径是4,则会输出如下数据: ;7Y[c}V1^ iq?l#}] Accommodation = 4 Diopters @mf({Q> Pupil Diameter = 4 mm 17}$=#SX Set aqueous humor thickness = 2.81 Jf7frzw
Set anterior lens radius = 10.4 and conic constant = -2.375869 $;2)s}ci Set posterior lens radius = -4.424557 and conic constant = -3.081019 !@G)$g=< Set lens thickness = 3.927 ZK6Hvc0 Set lens index of refraction = 1.42672 J$F nm\ Set pupil diameter = 4 kbxg_UI; DONE! L=O lyHO )MZC>: (文章来源:讯技光电)
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