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简介 H(9%SP@[c 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。 Gh}sk-Xk= TbbtD"b? 模型 e2CjZ" C F+
qRC_C>O 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。 #8iRWm0*6 "_t2R &A Table 1. AZ眼睛模型的定义 u^T)4~( 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. '1{co/Y xU+c?OLi 光源 4%>iIPXi.( (4=NKtA^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。 ua[ d
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fo! Lpd q^X 图1. 光源和提示信息使用 $\?BAkx 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 3*C9;Q} c+$alwL~ 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。 ?CIMez(h h}r64<Y2{ 图2. 字母F光源的设定方法光 s)X'PJ0&Bs a<-NB9o~v 图3. 字母F在视网膜上位置点列图 w&<-pIa` 视网膜的散射 MebLY $&8 #AHX{< 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 #vCtH2 veX#K# tmEF7e`(o 图4. 视网膜朗伯散射设定 L5$r<t< 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。 T pXbJ]o9 uj#bK
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图5. 视网膜重点采样规格设定 [yj-4v%u` 脚本 VBV y3fnj .:gZ*ks~ 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: 6$]@}O^V nv>|,&; 图6. 用户对话框的创建与编辑 fui;F"+1 图7. 用户对话框编辑器 ^1y (N>W 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 w5zrEk# 余下的脚本计算与屈光度有关的所有参数。 d$.t0-lC :uwB)G 分析 }4G/x;D #mu3`,9V 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 :f<:>"< RMJq9a
图7. 字母F在视网膜上颜色分析 o"h*@. 脚本代码 :: IAXGH) _Q&O#f Option Explicit 'Remove this to enable non-dimensioned variables to be used. cb|cY Co5 *$+k-BV Dim entity As T_ENTITY UC&f Dim op As T_OPERATION
%T9'dcM Dim mat As T_MODELMATERIAL IJX75hE0g Dim A As Double G-FeDP Dim pupilDiam As Double MP"Pqt Dim eID As Long {[B^~Y>Lr Dim parID As Long ?+6w8j%\ Dim count As Integer c*F'x-TH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double |ci1P[y Dim tlens As Double, nlens As Double #a7 Wx} Dim curv As Double, conic As Double ,c3gW2E Dim ok As Long /;P* ? EPO*{bN7O Sub Main }t.J;(ff: gZkjh{rQ '用户输入对话框 _g{*;?mS Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 QN!.~> TextBox 220,21,40,21,.TextBox1 'default: 0 Th"0Cc) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 yx v]G6 OKButton 40,91,90,21 kC :pal CancelButton 190,91,90,21 4q%hn3\ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2AN6(k4o TextBox 220,49,40,21,.TextBox2 'default: 4 kFCjko End Dialog @log=^ Dim dlg As UserDialog #fT1\1[] 8&d s ok = Dialog (dlg) B^8]quOH -TL `nGF If ok=0 Then 'cancel button was pressed NR98I7 Print "Execution cancelled." UC@&! kM End TF0DQP End If
LHy-y%?i 2VSs#z! 'Assign accommodation and pupil diameter & use defaults if field left empty PH,MZ"Z% If dlg.TextBox1 = "" Then /%O+]#$`0 A = 0 'Default accommodation \TchRSe Else F|Y}X|x8Q A = CDbl(dlg.TextBox1) u+
wKs` End If D)0pm?*5A :i{$p00
G If dlg.TextBox2 = "" Then |q0MM^%" pupilDiam = 4 'Default pupil diameter Ojea~Y]Sr Else }Z^r<-N pupilDiam = CDbl(dlg.TextBox2) M
mihWD02 End If P1\:hh *^h$%<QI Print " " W.nQYH Print "Accommodation = " & A & " Diopters"
Z.!tp Print "Pupil Diameter = " & pupilDiam & " mm" %+>t @F,GM 6LVJ*sjSy ' Calculate new parameters with accommodation <OYy;s taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness WnATgY t IdY\_@$ v Rant = 12.0 - 0.4*A 'Radius of anterior lens B Q)1)8r CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens :#yjg1aej y[L7=Td Rpost = -5.224557 + 0.2*A 'Radius of posterior lens _dg2i|yP< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 7&I+mw/X (YOp tlens = 3.767 + 0.04*A 'Lens thickness jg,oGtRz ,7wxVR%Ys nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction J~\`8cds d-cK`pSB 'Adjust parameters to account for accommodation ,F4_ps?( OfSy _#aEK '************************************************************************* x37pj)i/ 'Aqueous thickness (Position of Lens) /Ah|Po '************************************************************************* d{~5tv- H eID = FindFullName( "Geometry.Arizona Eye.Lens" ) @(;zU~l/ GetCustomElement eID, entity 'yrU_k,h Dg:2*m_!j{ parID = FindFullName( "Geometry.Arizona Eye" ) ;p$KM-?2D #gHs!b-g@ ' Delete any shift(s) in z xr }jw count = 0 Jl,mYFEZ While GetOperationCount(eID)>count !'ylh8} GetOperation eID, count, op hM":?Rx If op.Type="ShiftZ" Then #fF~6wopV DeleteOperation eID,count ^5"2s:vP count=count-1 Y<A593 End If ^CZ)!3qd1 count=count+1 l7g<
$3 Wend :tc]@0+ f]P&>j| 'Set new shift in xj1FCT2 op.Type = "ShiftZ" AqD)2O{VO op.val1 = taq RsY7F; op.parent = parID |'C{nTX AddOperation eID, op Pf?*bI Print "Set aqueous humor thickness = " & taq-0.55 %J_`-\)"{~ 'dnTu@mUT '************************************************************************* (l|:$%[0 'Radius and conic constant of anterior lens ("UzMr, '************************************************************************* T'n~QfU eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xB%Felz GetConic eID, entity, curv, conic n+C,v.X JZCRu_M>| SetConic eID, entity, 1/Rant, CCant sQBl9E'!be Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant k"J[mT$b p6qza @ '************************************************************************* hQm"K~SW= 'Radius and conic constant of posterior lens aNqhxvwf '************************************************************************* >bKN$,Qen eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) }~Am{Er<l GetConic eID, entity, curv, conic U[!x
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ZTb SetConic eID, entity, 1/Rpost, CCpost JWu^7}@~= Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [Rqv49n*V 3#d5.Ut '************************************************************************* z}Qt6na]- 'Lens thickness (Position of posterior lens surface) ;NyX9&@ '************************************************************************* {V> >a WVP^C71 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^,Paih
2 ?A[q/n:K ' Delete any z-shift(s) S 1%/ee3 count = 0 S{v [65 While GetOperationCount(eID)>count i.0}d5Y GetOperation eID, count, op N8<Wm>GLX~ If op.Type="ShiftZ" Then t)yWQV DeleteOperation eID,count L_>j
SP count=count-1 sknta0^=2 End If ^|z count=count+1 SA5
g~{" Wend p8%/T>hK ZDmBuf
q 'Set new z-shift :{iS0qJ op.Type = "ShiftZ" X[ERlw1q4Q op.val1 = tlens i+I%] op.parent = parID `iX~cUQ AddOperation eID, op c,$ >u,4 Print "Set lens thickness = " & tlens ~w<u! [SluYmW '************************************************************************* KL2 #Bm_ 'Lens index of refraction .A: #l? '************************************************************************* y4aW8J# eID = FindMaterial( "Lens" ) !nQ!J+ g GetModelMaterial eID, mat x Z3b)j2D cx]&ae * mat.Nd = nlens &cty&(2p SetModelMaterial eID, mat ZH9sf ~7 Print "Set lens index of refraction = " & nlens Q4gsOxP hOI|#(- '************************************************************************* &ukYTDM 'Pupil diameter H
/E.R[\+x '************************************************************************* L-7?: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =.@{uu; ogt<vng 'Adjust pupil diameter (trimming volume inner hole) 8pc=Oor2Tv !,rp| SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" xWY%-CWY. ;\N{z6 ' Adjust pupil location to just in front of the lens D^(Nijl9U parID = FindFullName( "Geometry.Arizona Eye" ) }L.xt88 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) B~/:["zTh& count = 0 beLT4~Z= While GetOperationCount(eID)>count :iWW2fY GetOperation eID, count, op dgLE/r? If op.Type="ShiftZ" Then +tbG^w% DeleteOperation eID,count w1Z9@*C! count=count-1 qpo3b7(N End If 2}Ga count=count+1 aCu 8
D! Wend K{eq'F5M op.Type = "ShiftZ" Ga5O&`h op.val1 = taq-0.01 IMaa#8, op.parent = parID <cQ)*~hN AddOperation eID, op `XAlzI 3P{
d~2 Print "Set pupil diameter = " & pupilDiam D4e*Wwk W\JbX<mQ 'Update AZ Eye subassembly Description LvlVZjT eID = FindFullName( "Geometry.Arizona Eye" ) 9#K,@X5 j GetEntity eID, entity [LDV*79Z entity.Description = "Accommodation = " & A & "D" jQ &$5&o SetEntity eID, entity `)sC".b7
*v+xKy#M Update AE1EZ# Print "DONE!" RR,gC"cTi #r\,oXTm End Sub Ns ?8N": ^Ht!~So 如果屈光度是4,光瞳直径是4,则会输出如下数据: Gqe?CM c{YBCWA Accommodation = 4 Diopters ^gP pmb<x Pupil Diameter = 4 mm Y?cdm}:Ou Set aqueous humor thickness = 2.81 ~Z74e>V% Set anterior lens radius = 10.4 and conic constant = -2.375869 %,HuG-L Set posterior lens radius = -4.424557 and conic constant = -3.081019 I[mlQmwsL. Set lens thickness = 3.927 p.(8e kh Set lens index of refraction = 1.42672 y|sU-O2}Dl Set pupil diameter = 4 Q\WH2CK DONE! 4/6?wX :bJT2o[ (文章来源:讯技光电)
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