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简介 Rcuz(yS8 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。 [Xkx_B =X}J6|>X 模型 OUnA;_ 4W75T2q# 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。 F9^S"qv$ E.h*g8bXe Table 1. AZ眼睛模型的定义 b%+Xy8a 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. CIWO7bS }MySaL> 光源 NEs:},)o 0-gAyiKx? 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。 5P bW[ UKGPtKE< F4QVAOM]U 图1. 光源和提示信息使用 F|8& 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。 jXJyc'm7 vN $s|R'@ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 T{"(\X$ A/(a`"mK|' 图2. 字母F光源的设定方法光 @ Qe0! (_= }p
V:M{Nu& 图3. 字母F在视网膜上位置点列图 DU^loB+ 视网膜的散射 +T ?NH9 SbZ6t$" 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。 y_,bu^+* MV"=19] +ZYn? #IQ 图4. 视网膜朗伯散射设定 )oZ dj` 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。 e20-h3h+ %<5'=t'|-U gw(z1L5
n 图5. 视网膜重点采样规格设定 $b\P|#A 脚本 b>k y XW9!p.*.U 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: A&{Nh` q 2%1hdA< 图6. 用户对话框的创建与编辑 }JfjX' 图7. 用户对话框编辑器 Dq xs+ 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。 iso4]>LF 余下的脚本计算与屈光度有关的所有参数。 Xj*Wu_ |ZBw<f 分析 iLT}oKF2N; P>L +t`' 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0:+E-^X zDp 2g) 图7. 字母F在视网膜上颜色分析 llDJ@ 脚本代码 B!yr!DWv 9L9sqZUB Option Explicit 'Remove this to enable non-dimensioned variables to be used. V]&\fk-{ q4q6c")zp Dim entity As T_ENTITY m|# y
>4 Dim op As T_OPERATION n%-0V> Dim mat As T_MODELMATERIAL ?"FbsMk.d Dim A As Double .hiSw Dim pupilDiam As Double tkhCw/ Dim eID As Long ;jPXs Dim parID As Long VL^EHb7 Dim count As Integer +(*DT9s+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double DlT{` Dim tlens As Double, nlens As Double *"kM{*3:v Dim curv As Double, conic As Double H]!"Zq k Dim ok As Long h![#;>( .543N<w Sub Main ^{{ qV l,:F '用户输入对话框 Qd6F H2Pl Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _ m>b2I? TextBox 220,21,40,21,.TextBox1 'default: 0 g>sSS8RO Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 zQA`/&=Y OKButton 40,91,90,21 Je@v8{][| CancelButton 190,91,90,21 07)yG:q*x Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 }Lv;! TextBox 220,49,40,21,.TextBox2 'default: 4 8Y3I0S End Dialog 5r_|yu Dim dlg As UserDialog _U0f=m /bEAK- ok = Dialog (dlg) $cR{o# _6Ha If ok=0 Then 'cancel button was pressed :LTN!jj Print "Execution cancelled." KG@8RtHsQ End V1?]|HTQcT End If zJXplvaL;
oE~RySX 'Assign accommodation and pupil diameter & use defaults if field left empty {t!!Uz 7 If dlg.TextBox1 = "" Then *kVV+H<X|b A = 0 'Default accommodation AEuG v}# Else q =Il|Nb> A = CDbl(dlg.TextBox1) ]~%6JJN7 End If ^&)|sP I|J/F}@p If dlg.TextBox2 = "" Then >MK98(F pupilDiam = 4 'Default pupil diameter ]{ kPrey Else 8[>zG2 pupilDiam = CDbl(dlg.TextBox2) 6Iw\c End If .KC++\{HE ?8 {"x8W; Print " " rbQR,Nf2x Print "Accommodation = " & A & " Diopters" 8] ikygt" Print "Pupil Diameter = " & pupilDiam & " mm" aP`P)3O6)1 5?L<N:;J_ ' Calculate new parameters with accommodation 7Qsgys#/= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 5coZ|O&f8 0g\(+Qg^ Rant = 12.0 - 0.4*A 'Radius of anterior lens GF
WA>5n' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens smLQS+UE T)CP2U Rpost = -5.224557 + 0.2*A 'Radius of posterior lens tu?MY p; CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Df#l8YK# >j`qh:^ tlens = 3.767 + 0.04*A 'Lens thickness PVOv[% QM]YJr3rE nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ETLD$=iS wAd9 'Adjust parameters to account for accommodation kW (Bkuc) EzIGz[ '************************************************************************* yEoV[K8k 'Aqueous thickness (Position of Lens) 2"5v[,$1H '************************************************************************* ty`DJO=Omj eID = FindFullName( "Geometry.Arizona Eye.Lens" ) tl].r|yl GetCustomElement eID, entity
BB'OCN M[uA@ parID = FindFullName( "Geometry.Arizona Eye" ) 6R5Qy]]E *#Wdc O`- ' Delete any shift(s) in z Wm3X[?V count = 0 d/Q%IeEL. While GetOperationCount(eID)>count y Wya&|D9 GetOperation eID, count, op F>cv<l
=6l If op.Type="ShiftZ" Then X76e&~ DeleteOperation eID,count /=, nGk> count=count-1 HKr
Mim- End If @R
6@]Dm count=count+1 Lxk[;j+ Wend e$pV%5= e]tDy0@ 'Set new shift in L:8q8i op.Type = "ShiftZ" W];dD$Oqg op.val1 = taq V!dtF,tH op.parent = parID &I406Z f7y AddOperation eID, op `#gie$B{ Print "Set aqueous humor thickness = " & taq-0.55 WT}H>T z~Q>V]a>; '************************************************************************* YDFyX){ 'Radius and conic constant of anterior lens ,1##p77. '************************************************************************* l \?c}7k eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OC:T
O|S:4 GetConic eID, entity, curv, conic _,d~}_$`i "}JZU!? SetConic eID, entity, 1/Rant, CCant VYhbx
'e Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !3v1bGk So
5N5,u@= '************************************************************************* Z:7fV5b( 'Radius and conic constant of posterior lens O<e{ '************************************************************************* 6u}</>} eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;Q&5,<
N)j GetConic eID, entity, curv, conic Y5d \d\e/ Ib0ZjX6 SetConic eID, entity, 1/Rpost, CCpost GDy9qUV Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost \r>6`-cs] hiw|2Y&` '************************************************************************* Y]5l.SV 'Lens thickness (Position of posterior lens surface)
v<:R# '************************************************************************* 0{[,E. lu6(C parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F*K_+
?m Jdp3nzM^^@ ' Delete any z-shift(s) zNuJj L count = 0 =6#Eh=7N While GetOperationCount(eID)>count Z87|Zl GetOperation eID, count, op f>Jr|#k If op.Type="ShiftZ" Then I,'k>@w{s DeleteOperation eID,count !7&5` q7 count=count-1 ivz5H(b End If m<g~H4 count=count+1 o\)F}j&b#= Wend O5t[ )@'}\_a3[] 'Set new z-shift XEZF{lP op.Type = "ShiftZ" _H=Uwi_g op.val1 = tlens g
SAt@2*U2 op.parent = parID BIWWMg AddOperation eID, op 5-xX8-ElYz Print "Set lens thickness = " & tlens xpx\=iAe {s{j~M '************************************************************************* QZ%`/\(!8_ 'Lens index of refraction D+7Rz_= '************************************************************************* 'anG:= eID = FindMaterial( "Lens" ) ?#YE`] GetModelMaterial eID, mat 5j-YM e,XYVWY% mat.Nd = nlens R#8L\1l SetModelMaterial eID, mat M_w<m Print "Set lens index of refraction = " & nlens t\j*}# S 3K/MvNI> '************************************************************************* JO"<{ngsQ 'Pupil diameter Q7COQ2~K '************************************************************************* l/
; eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) fn6J*[` Ziu]'# 'Adjust pupil diameter (trimming volume inner hole) SrK<fAkx -n<pPau2 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" g]yBA7/S" A;|D:;x3G ' Adjust pupil location to just in front of the lens qXtC^n@x parID = FindFullName( "Geometry.Arizona Eye" ) %(G* , eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) &&RimoIeo count = 0 f\>M'{cV While GetOperationCount(eID)>count =;&yd';k GetOperation eID, count, op M$8^91%4B If op.Type="ShiftZ" Then 6,9>g0y'NG DeleteOperation eID,count ^7KH _t8 count=count-1 X~,aNRy End If r7,t";?> count=count+1 LRG6:& Wend Yv!a88+A8M op.Type = "ShiftZ" e?=^;v%r op.val1 = taq-0.01 #PQB(=299P op.parent = parID #@~+HC= AddOperation eID, op O,h ;hQZ dg"3rs /?A Print "Set pupil diameter = " & pupilDiam Zt.|oYH$ FfPar:PHj 'Update AZ Eye subassembly Description 6N
S201o eID = FindFullName( "Geometry.Arizona Eye" ) -f>%+< |