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简介 M8lw;
( Pjq'c+4.yL 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。 .XpuD,^;@ f)vnm*&- 模型 KyIUz9$ mBIksts5h 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。 USART}Us4 ~xzr8 P Table 1. AZ眼睛模型的定义 T=NLBJ 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. ")ys!V9 R?{_Q<17 光源 Jd `Qa+ O<fy^[r:` 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。 CeU=A9 b~ )@e9 q1HJ_y 图1. 光源和提示信息使用 ['>ZC3?"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。 ;/NC[:'$D L=54uCv
Q 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Z<<=2Xl( 0fj C>AS 图2. 字母F光源的设定方法光 y?cN !Th5x2 图3. 字母F在视网膜上位置点列图 N_Ezp68Fp 视网膜的散射 7.2G}O6$ AyUw 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。 ;E{jn4B' cK[=IE5 7oZ Pb 图4. 视网膜朗伯散射设定 /0>'ZzjV, 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。 eSIG+{;& %4`
U' j U6|T<bsOl 图5. 视网膜重点采样规格设定 m{$+ 脚本 )cL(()N ;HYEJ3 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示:
&I-T W.s8!KH: 图6. 用户对话框的创建与编辑 1mHS -oI9J 图7. 用户对话框编辑器 iN[6}V6Sm 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 6?lAbW 余下的脚本计算与屈光度有关的所有参数。 W4.w @}PXBU 分析 Fa`%MR1 \{Q_\s&) 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Y8%l)g `uLr^G=; 图7. 字母F在视网膜上颜色分析 #Rfcp! 脚本代码 iM7^ t+d7{&B Option Explicit 'Remove this to enable non-dimensioned variables to be used. 2aR9vmR \^pc"?Rc Dim entity As T_ENTITY U<F|A!Fg Dim op As T_OPERATION [< g9jX5 Dim mat As T_MODELMATERIAL oM>UIDCY_v Dim A As Double 3H<%\SYp Dim pupilDiam As Double gT+wn-3 Dim eID As Long i@D4bd9lR Dim parID As Long o R8'^G0< Dim count As Integer ->OVNmCB`+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double EF$ASNh" Dim tlens As Double, nlens As Double >Mh\jt\ Dim curv As Double, conic As Double `e;r$Vpd_ Dim ok As Long t%e<]2-8 %H{;wVjK Sub Main du'`&{_/ .*`]x '用户输入对话框 'Qg!ww7O Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -B/'ArOo] TextBox 220,21,40,21,.TextBox1 'default: 0 [%yj'
)R/ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 [;yH.wn#5 OKButton 40,91,90,21 _U LzA
CancelButton 190,91,90,21 }&L%c> Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 WZHw(BN{+ TextBox 220,49,40,21,.TextBox2 'default: 4 SAitufS End Dialog 4 7mT Dim dlg As UserDialog Ad,n+%"e :81d~f7 ok = Dialog (dlg) $8(QBZq Tc"J(GWG If ok=0 Then 'cancel button was pressed wC%qS y' Print "Execution cancelled." Vg,nNa3 End WC=d@d)M End If i?b9zn qs\Cwn! 'Assign accommodation and pupil diameter & use defaults if field left empty yEjiMtQll] If dlg.TextBox1 = "" Then 21Dc.t{ A = 0 'Default accommodation fwA8=oSZd Else 8oI|Z= A = CDbl(dlg.TextBox1) ;!VxmZ:j[ End If K/Pw;{} F7j/Zuj If dlg.TextBox2 = "" Then ig YYkt pupilDiam = 4 'Default pupil diameter NZZy^p&O Else |,=^P`#% pupilDiam = CDbl(dlg.TextBox2) :
qK-Rku End If hi$AZ+ N2HD=[*cr Print " " iFI+W<QR Print "Accommodation = " & A & " Diopters" _x""-X~OL Print "Pupil Diameter = " & pupilDiam & " mm" &L+.5i XC;Icr) ' Calculate new parameters with accommodation }.'rhR+ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness (y6}xOa( `C|];mf(# Rant = 12.0 - 0.4*A 'Radius of anterior lens {PxFG<^U CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens k]$oir z7sDaZL?_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens f@hM ^% CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens \X\f~CB |kvH`&s tlens = 3.767 + 0.04*A 'Lens thickness iSoQ1#MP)2 h/|p`MP\1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "9c=kqkX 573,b7Yf 'Adjust parameters to account for accommodation VZr:yE =9 )k:S( '************************************************************************* R)*DkL! 'Aqueous thickness (Position of Lens) N8Z z6{rp '************************************************************************* GrJLQO0$N eID = FindFullName( "Geometry.Arizona Eye.Lens" ) [|c%<|d2 GetCustomElement eID, entity 6YNL4HE? IaSpF<&Y; parID = FindFullName( "Geometry.Arizona Eye" ) ,>b>I#{ ti%RE:* ' Delete any shift(s) in z +e2:?d@ count = 0 [(3s5)O While GetOperationCount(eID)>count ^Z;zA@[wt GetOperation eID, count, op j:'g*IxM_ If op.Type="ShiftZ" Then K.mxF,H DeleteOperation eID,count 'n-y*f count=count-1 v
;}s`P\" End If MaHP):~ count=count+1 _ pz} Wend n6WKk+ 6uo;4}0 'Set new shift in K6-M .I op.Type = "ShiftZ" !YjxCx op.val1 = taq 4L8hn4F op.parent = parID egG<"e*W}N AddOperation eID, op T#3@r0M Print "Set aqueous humor thickness = " & taq-0.55 xR3$sA2 bz#]>RD '************************************************************************* -c0ypz 'Radius and conic constant of anterior lens 7g"u)L&32 '************************************************************************* z
dgS@g eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Lm2!<<< GetConic eID, entity, curv, conic $+7uB-KsU /o m++DxV SetConic eID, entity, 1/Rant, CCant f!#! Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Px=@Tw N, 0Z6geBMc '************************************************************************* thJ~*
0^ 'Radius and conic constant of posterior lens ZzupK^5Z '************************************************************************* 2,q*[Kh1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) edq,: GetConic eID, entity, curv, conic 18Y#=uH} ^r&)@R$V SetConic eID, entity, 1/Rpost, CCpost :+PE1=v Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost s b;q)Rh V9v20iX '************************************************************************* A'KH_]) 'Lens thickness (Position of posterior lens surface) ,?|$D Y+= '************************************************************************* yzhNl'Rz @ps(3~?7 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vW=L{8zu G7nhUg ' Delete any z-shift(s) <ErX<(0`ig count = 0 I}
jgz While GetOperationCount(eID)>count MY@&^71i4 GetOperation eID, count, op
zd=O;T;. If op.Type="ShiftZ" Then _rwJ:r DeleteOperation eID,count RTm/-6[N count=count-1
L\PmT End If c[,h|~K/_? count=count+1 2aM7zP[Z Wend u##th8h4U O1z]d3x
'Set new z-shift E7MSoBX9M op.Type = "ShiftZ" cQK-Euum op.val1 = tlens :D) (3U5 op.parent = parID A#=TR_@: AddOperation eID, op Mu?|<#s Print "Set lens thickness = " & tlens @vt.Db jb.H[n,\ '************************************************************************* hGz_F/ 'Lens index of refraction 'k X8}bx '************************************************************************* (.ir"\k1( eID = FindMaterial( "Lens" ) =:^aBN# GetModelMaterial eID, mat \_
3>v5k| @&ZQDi mat.Nd = nlens Dw%'u'HG SetModelMaterial eID, mat by/H:5}7 Print "Set lens index of refraction = " & nlens
yfZNL?2x Cq\XLh ` '************************************************************************* x=oV!x 'Pupil diameter -&5YRfr! '************************************************************************* ^viabkf C eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) mn/)_1', cq4~(PXTg 'Adjust pupil diameter (trimming volume inner hole) VVas>/0qr SO$Af!S:bB SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" U)/.wa> :RIz6Tz ' Adjust pupil location to just in front of the lens 8W\yM;' parID = FindFullName( "Geometry.Arizona Eye" ) hx:q@[ +J/ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }Kp!, count = 0 8=`L#FkRp While GetOperationCount(eID)>count p0Jr{hM GetOperation eID, count, op Q/+`9z+c If op.Type="ShiftZ" Then Jb QK$[z" DeleteOperation eID,count 8s1nE_3 count=count-1 rAH!%~ End If F8f}PV]b count=count+1 1RRE{]2v# Wend Ie.*x'b?y op.Type = "ShiftZ" y [8;mCh op.val1 = taq-0.01 wFJf"@/vJ op.parent = parID >h\y1IrAaG AddOperation eID, op 1<YoGm& jRJG .hcB5 Print "Set pupil diameter = " & pupilDiam YB 38K( tbFAVGcAM 'Update AZ Eye subassembly Description ZL(
j5E eID = FindFullName( "Geometry.Arizona Eye" ) oac)na:O# GetEntity eID, entity 'Gy`e-yB entity.Description = "Accommodation = " & A & "D" ?jmP]MM SetEntity eID, entity 0q}i5%m7 3UZd_?JI[^ Update uX_H;,n Print "DONE!" 5Gz!Bf@!! M/N8bIC! Q End Sub Er;/zxg9p Vrt$/ d 如果屈光度是4,光瞳直径是4,则会输出如下数据: e"E8BU )?F&`+ Accommodation = 4 Diopters !eW1d0n'+f Pupil Diameter = 4 mm +fP.Ewi Set aqueous humor thickness = 2.81 ;TAj;Tf]H Set anterior lens radius = 10.4 and conic constant = -2.375869 G4*
LO Set posterior lens radius = -4.424557 and conic constant = -3.081019 pbH!u+DF Set lens thickness = 3.927 b] 5weS-< Set lens index of refraction = 1.42672 h `Lr5)B' Set pupil diameter = 4 3s6obw$ki DONE! 7%*#M#(T 9@ k8$@ 9&lemz QQ:2987619807 '+88UFSq5
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