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简介 \`x'g)z(i -|mRJVl8 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。 hR{Zh> osI(g'Xb 模型 ,iy zD|W3hL2& 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。 |-<L :% jz0\F,s Table 1. AZ眼睛模型的定义 3~'F^=T.Y 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. Z2
4 m p:))ne:7 光源 Aed"J5[a #a:C=GV;4 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。 sP7 (1)\ "f+2_8%s+ a#=-Aj- 图1. 光源和提示信息使用 'z:p8"h} 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。 &n
wg$z{Y c i>=45@J 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 <hdCO<
0( gw^+[}U# 图2. 字母F光源的设定方法光 @YELqUb* MN4}y5 图3. 字母F在视网膜上位置点列图 Y#,MFEd 视网膜的散射 ualtIHXK) O'(vs"eN 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 hd' n" Wi<Fkzj g<Xwk2_=g 图4. 视网膜朗伯散射设定 -D(!B56_ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 /jAs`"U 5[k35c{ ?9cy5z[ 图5. 视网膜重点采样规格设定 NGu]|p 脚本 u1l#k60 98"N UT 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Ns_d10rZ. ~c"c9s+o 图6. 用户对话框的创建与编辑 2_C.-;! 图7. 用户对话框编辑器 vP!gLN]TV 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 *k -UQLJ 余下的脚本计算与屈光度有关的所有参数。 hv6>3gbr 5ZLH=8L 分析 K"61i:F v.MWO]L 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ns-x\B?^ <jF <_j 图7. 字母F在视网膜上颜色分析 +]X^bB[ 脚本代码 _=b[b]Ec$s '
BpRi N Option Explicit 'Remove this to enable non-dimensioned variables to be used. 2#!D" F 0ro+FJ r Dim entity As T_ENTITY jiat5 Dim op As T_OPERATION R\^tr Dim mat As T_MODELMATERIAL o<y7Ut Dim A As Double QXCI+Fcg Dim pupilDiam As Double Qa=;Elp:[ Dim eID As Long !VW#hc\A5 Dim parID As Long o,L !F`W Dim count As Integer 7@\iBmr6 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double sx;1V{|g Dim tlens As Double, nlens As Double (Jm_2CN7X Dim curv As Double, conic As Double 3c)LBM Dim ok As Long 6O}r4* B!Y;VdX Sub Main fXN;N&I LS`Gg7]S '用户输入对话框 4s~o
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 &AzA0r&, TextBox 220,21,40,21,.TextBox1 'default: 0 X!m/I
i$q Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 BmZd,}{ OKButton 40,91,90,21 d;z`xy(C CancelButton 190,91,90,21 lPH]fWt< Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Z`D#L[z$ TextBox 220,49,40,21,.TextBox2 'default: 4 TUT>* End Dialog }.#C9<"} Dim dlg As UserDialog xGqZ8v`v yR&E6o.$z ok = Dialog (dlg) $ _zdjzT ?w.Yx$Z" If ok=0 Then 'cancel button was pressed 2IGAZ%% Print "Execution cancelled." B}vI<?c End ?@ O[$9y End If +XsY*$O vR -/c 'Assign accommodation and pupil diameter & use defaults if field left empty $ysC)5q. If dlg.TextBox1 = "" Then c7'Pzb)' A = 0 'Default accommodation .gB#g{5+J Else (g 8K?Q A = CDbl(dlg.TextBox1) [mhY_Hmz] End If XG0,@Ly !!9V0[ If dlg.TextBox2 = "" Then `Tab'7 pupilDiam = 4 'Default pupil diameter mesR)fTI Else 8u>E(Vmpu pupilDiam = CDbl(dlg.TextBox2) +m"iJW0 End If RtSk;U1 1iUy*p65: Print " " {pVD`#Tl[ Print "Accommodation = " & A & " Diopters" _vad>-=D*U Print "Pupil Diameter = " & pupilDiam & " mm" E@?jsN7 DY1o!thz) ' Calculate new parameters with accommodation $Uzc taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness X{)M}WO+r 46*?hA7@r( Rant = 12.0 - 0.4*A 'Radius of anterior lens _:{XL c CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens )UWE.oBI #CM2FN:W Rpost = -5.224557 + 0.2*A 'Radius of posterior lens mFT[[Z# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens c|E oYu5]ry tlens = 3.767 + 0.04*A 'Lens thickness b.$Gc!g MVV<&jho{^ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $Cte$jg{; 7[Y<5T] 'Adjust parameters to account for accommodation %hY+%^k. tL D.e '************************************************************************* +&|WC2# 'Aqueous thickness (Position of Lens) 1<lLE1fk '************************************************************************* J|s4c`= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 55Jk "V#8 GetCustomElement eID, entity U|,VH-# 3dXyKi parID = FindFullName( "Geometry.Arizona Eye" ) " 4s,a C0'Tua' ' Delete any shift(s) in z S53[K/dZo count = 0 d"$ \fL While GetOperationCount(eID)>count F`'e/ GetOperation eID, count, op vQztD_bX% If op.Type="ShiftZ" Then =8[HC}s|$ DeleteOperation eID,count
>hHn{3y count=count-1 -8g ;t3z End If ]U]{5AA6 count=count+1 &FGz53fd4 Wend 7)~/`w)P lv,<[Hw1 'Set new shift in >pr{)bp G op.Type = "ShiftZ" W*gu*H^s~ op.val1 = taq |Zz3X op.parent = parID QO0T<V AddOperation eID, op }56"4/ Z Print "Set aqueous humor thickness = " & taq-0.55 H=EvT'g !DD|dVA{ '************************************************************************* Ju+r@/y% 'Radius and conic constant of anterior lens #AE'arT< '************************************************************************* .BZw7
YV eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 87y$=eZ GetConic eID, entity, curv, conic 9J*m!-hOY ^KmyB6Yg SetConic eID, entity, 1/Rant, CCant #}l}1^$ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant SxNs taw
#r '************************************************************************* db4Ol= 'Radius and conic constant of posterior lens ,Epg&)wC] '************************************************************************* (',G
Ako eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) u
JGYXlLE GetConic eID, entity, curv, conic XswEAz0= %=%jy SetConic eID, entity, 1/Rpost, CCpost [[ HXOPaV Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ^<7)w2ns >PfYHO '************************************************************************* }B^KV#_{S 'Lens thickness (Position of posterior lens surface) Jy{A1i@4~s '************************************************************************* a'rN&*P | \ C{R parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qVx0VR1: >cQ*qXI0 ' Delete any z-shift(s) =D<46T=(RB count = 0 Ay/ "2pDZ While GetOperationCount(eID)>count ~\(U&2t
GetOperation eID, count, op =k'3rm*ld If op.Type="ShiftZ" Then 0;
M+8 DeleteOperation eID,count ?E=&LAI# count=count-1 tNoo3& End If w*OZ1| count=count+1 3;@t{rIin Wend Wl?*AlFlk GjfY 'Set new z-shift 7{2knm^ op.Type = "ShiftZ" 52,p CyU op.val1 = tlens ma?$@]`k op.parent = parID 4L(axjMYU AddOperation eID, op mM&H;W Print "Set lens thickness = " & tlens V.>'\b/# z{7&= $ '************************************************************************* s'J8E+&5 'Lens index of refraction \|L@ '************************************************************************* A !x"* eID = FindMaterial( "Lens" ) eOE7A'X GetModelMaterial eID, mat A!x_R {,yH %DbL|;z1 mat.Nd = nlens >x eKO2o SetModelMaterial eID, mat L Lm{:T7 Print "Set lens index of refraction = " & nlens ?S36)oZzg [j`It4^nC '************************************************************************* i\XOk! 'Pupil diameter 3W5|Y@0 '************************************************************************* %
Lhpj[C eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) GTyS8`5E* 1.4]T, ` 'Adjust pupil diameter (trimming volume inner hole) { %vX/Ek ~6Vs>E4G SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (&=-o( P*BA ' Adjust pupil location to just in front of the lens 5rr7lwWZ parID = FindFullName( "Geometry.Arizona Eye" ) ]3BTL7r eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =hH>]$J[ count = 0 y4t M0h While GetOperationCount(eID)>count ;^^u _SuH GetOperation eID, count, op Hl8-1M$& If op.Type="ShiftZ" Then b54<1\& DeleteOperation eID,count n{6XtIoYq count=count-1 s*>s;S?{| End If *RD9gIze count=count+1 [-x~Q[ Wend P>+{}c}3I op.Type = "ShiftZ" be |k"s|6) op.val1 = taq-0.01 MS)# S& op.parent = parID h/?8F^C#v AddOperation eID, op 47ppyh6@ S#8wnHq Print "Set pupil diameter = " & pupilDiam ),(ejRP'r MRwls@z= 'Update AZ Eye subassembly Description EW%%W6O6 eID = FindFullName( "Geometry.Arizona Eye" ) `(vgBz`e[ GetEntity eID, entity O[+S/6uy entity.Description = "Accommodation = " & A & "D" +y! dU{L^ SetEntity eID, entity j7K9T fIu5d6;' Update Ek~Qp9B Print "DONE!" r :{2}nE bae .?+0[ End Sub 5)+(McJC mT
<4@RrB 如果屈光度是4,光瞳直径是4,则会输出如下数据: [
dpd-s Kn SXygT Accommodation = 4 Diopters gbL99MZ@~ Pupil Diameter = 4 mm (YVl5}V Set aqueous humor thickness = 2.81 \bw71( Q Set anterior lens radius = 10.4 and conic constant = -2.375869 S7N3L." Set posterior lens radius = -4.424557 and conic constant = -3.081019 hZ Gr/5f Set lens thickness = 3.927 2f9~:.NgF Set lens index of refraction = 1.42672 #O6SEK|Z Set pupil diameter = 4 kj~)#KDN DONE! (cAv :EKpo
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