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简介 DwQaj"1<% 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。 K?y!zy
Yj^| j 模型 qU'O4TWZ D]I]I!2c 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。 r A*"22v= lL*k!lNs Table 1. AZ眼睛模型的定义 O_PKS$sz{ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. &DqeO8?Q G4jaHpPi 光源 UUxDW3K \XG18V& 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 x*)@:W! iNTw;ov +sTZ)
5vQ 图1. 光源和提示信息使用 y=L9E? 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 R+c
{Pl ` "Gd/ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 'xO^2m+N; c8o$WyO 图2. 字母F光源的设定方法光 y.zS?vv2g u>G#{$) 图3. 字母F在视网膜上位置点列图 DhQYjC[ 视网膜的散射 _&/FO{ F@m Ib)>M`J 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ODGOWw0 k$V.hG|6M Wr \rruH6 图4. 视网膜朗伯散射设定 hM!D6: 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。 EDm,Y sK#)wjj\^ P=)&]Pz 图5. 视网膜重点采样规格设定 \78w1Rkl 脚本 |eEcEu?/b =H'7g6 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: 3^>D | \O"EK~x}/ 图6. 用户对话框的创建与编辑 ^&o38=70* 图7. 用户对话框编辑器 oGzZ.K3 A 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。 FFT h}>> 余下的脚本计算与屈光度有关的所有参数。 ]jUxL=]r |[k/% 分析 wIW]uo/= 3{mu 77 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Q\H_lB wv 7jES 图7. 字母F在视网膜上颜色分析 @"jV^2oY1 脚本代码 kfF.Ctr1a :)GtPTD Option Explicit 'Remove this to enable non-dimensioned variables to be used. yNk9KK ) v3(W4G` Dim entity As T_ENTITY <y+8\m Dim op As T_OPERATION 4\%0a,\^ Dim mat As T_MODELMATERIAL MQR@(>TZy Dim A As Double i,=CnZCh Dim pupilDiam As Double ^Zh
YW Dim eID As Long &n%
3rC5{ Dim parID As Long kan?2x Dim count As Integer ;cBFft}D Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double LbGyD;#_ Dim tlens As Double, nlens As Double Q3SwW Dim curv As Double, conic As Double 'F'v/G~F Dim ok As Long UR~9*`Z , Sm2 |I6 Sub Main "{0
o"k tqY) '用户输入对话框 &H!#jh\w Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *g$egipfF TextBox 220,21,40,21,.TextBox1 'default: 0 :@6,|2be= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 '-F
}(9M OKButton 40,91,90,21 neGCMKtzlJ CancelButton 190,91,90,21 $I%75IZ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &lYZ=|6 TextBox 220,49,40,21,.TextBox2 'default: 4 x\vb@!BZ End Dialog D. 2HM Dim dlg As UserDialog B]K@'# /? n 9c;w ok = Dialog (dlg) NGHzifaE dU]> If ok=0 Then 'cancel button was pressed Z9rs,_A Print "Execution cancelled." CVsc#=w0 End N@UO8'"9K& End If ,c:Fa)- uy~KJn?Tu 'Assign accommodation and pupil diameter & use defaults if field left empty yQ>
*F If dlg.TextBox1 = "" Then PjEKZHHz
A = 0 'Default accommodation n237%LH[ Else 6aG/=fq A = CDbl(dlg.TextBox1) pPcn
F`A End If ms'!E) PgZ~of& If dlg.TextBox2 = "" Then Y?Yix pupilDiam = 4 'Default pupil diameter kI974:e42 Else 6g@@V=mf pupilDiam = CDbl(dlg.TextBox2) jP6;~[rl End If }SHF /i+8b(x Print " " v>TI.;{y Print "Accommodation = " & A & " Diopters" 3Q^@!hu Print "Pupil Diameter = " & pupilDiam & " mm" h 5Y3
v ?U]/4] ' Calculate new parameters with accommodation Do}mCv taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness y
1fl=i )B@veso{ Rant = 12.0 - 0.4*A 'Radius of anterior lens ': Gk~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens FJ3Xeos4| <,,U>0?3 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens SE+K"faKQ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens xUE 9%qO Ek' tlens = 3.767 + 0.04*A 'Lens thickness B[^mWVp6L Sk@~} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction S86%o,Saq\ UO}Kk* 'Adjust parameters to account for accommodation @RKw1$BA k*\=IacX0 '************************************************************************* vB, X) 'Aqueous thickness (Position of Lens) ;p%a!Im_< '************************************************************************* ?\:ysTVu eID = FindFullName( "Geometry.Arizona Eye.Lens" ) |MvCEp GetCustomElement eID, entity G0$
1"9u\w +x$;T*0 parID = FindFullName( "Geometry.Arizona Eye" ) Y3jb'S4( a3]'%kKp ' Delete any shift(s) in z OL*EY:] count = 0 "(ehf|%>% While GetOperationCount(eID)>count -\yaP8V GetOperation eID, count, op _$"qC[. If op.Type="ShiftZ" Then @)iv' DeleteOperation eID,count -nG3(n&wB count=count-1 S~`&K End If MId\dFu count=count+1 %(b`i C9 Wend <'QHe4 ,%X~/V 'Set new shift in xmZ]mu,,$ op.Type = "ShiftZ" C^RO@kM op.val1 = taq mfLS</A op.parent = parID 4O[T:9mn0 AddOperation eID, op RLr;]j8cm Print "Set aqueous humor thickness = " & taq-0.55 )` S,vF~ nK Rx_D$d '************************************************************************* r: n^U# 'Radius and conic constant of anterior lens XXacWdh \ '************************************************************************* 3/o-\wWO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kc `Q-
N} GetConic eID, entity, curv, conic ptGM' h,<%cvU= SetConic eID, entity, 1/Rant, CCant he&*N*of: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant XbYW,a@w2 &| el8;D '************************************************************************* d$g-u8 'Radius and conic constant of posterior lens %WHue '************************************************************************* yL&F!+(/Ix eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) N5[QQtQ GetConic eID, entity, curv, conic <LQwH23@ RUm1;MWs SetConic eID, entity, 1/Rpost, CCpost Z<z(;)?c Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost o6K\z+.{ C/ow{MxA '************************************************************************* %1a\"F![ 'Lens thickness (Position of posterior lens surface) CD%wi:C%| '************************************************************************* QNzI ~j",ePl parID = FindFullName( "Geometry.Arizona Eye.Lens" ) mYXe0E#6 u\-xlp?"o ' Delete any z-shift(s) 2J9_(w
count = 0 X'e@(I!0 While GetOperationCount(eID)>count PoY+Y3 GetOperation eID, count, op i3s-l8\\z If op.Type="ShiftZ" Then bl(rCbj(w DeleteOperation eID,count UyBI;k^]
count=count-1 >Rs:Fw|jro End If \kZxys!4 count=count+1 5E?{>1 Wend phwk0J]2 "zL<:TQ" 'Set new z-shift 5`*S'W}\> op.Type = "ShiftZ" ([iMOE[D3 op.val1 = tlens mu04TPj op.parent = parID 4 StiYfae AddOperation eID, op ,95Nj h Print "Set lens thickness = " & tlens _/MHi-]/. `] ;*k2 '************************************************************************* ^tIs57! 'Lens index of refraction p ElF,Y '************************************************************************* U-#wFc2N eID = FindMaterial( "Lens" ) ?kX$Y{M} GetModelMaterial eID, mat ".onev^( [>Z~&cm mat.Nd = nlens a,x-akZWf SetModelMaterial eID, mat u) y6 $ Print "Set lens index of refraction = " & nlens i-~HT4iw uj,YCJ8UZs '************************************************************************* qk{2%,u$@{ 'Pupil diameter Z{xm(^'i '************************************************************************* rg)>ZHx eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) nAG2!2_8 $(K[W} 'Adjust pupil diameter (trimming volume inner hole) SwpS6 Tn<
<i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" d4t%/ Uh @~hiL(IR' ' Adjust pupil location to just in front of the lens e<6fe-g9; parID = FindFullName( "Geometry.Arizona Eye" ) "C&l7K;bp eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XCCN6[[+ count = 0 <43O,Kx'Su While GetOperationCount(eID)>count 1[OCoj o< GetOperation eID, count, op W2P(!q>r] If op.Type="ShiftZ" Then r ) ;U zd DeleteOperation eID,count Y^Y|\0 count=count-1 Xd@ - End If c+,F)i^` count=count+1 b^_#f:_j Wend AX,V*
s op.Type = "ShiftZ" Q^>"AhOiU op.val1 = taq-0.01 X|fl_4NC> op.parent = parID ?j9J6=2 AddOperation eID, op #kjN!S*= pyYm<dn Print "Set pupil diameter = " & pupilDiam *UhYX)J jU.z{(s 'Update AZ Eye subassembly Description `w';}sQA7 eID = FindFullName( "Geometry.Arizona Eye" ) Vw:.'-Oi GetEntity eID, entity T1 >xw4uo entity.Description = "Accommodation = " & A & "D" #pO=\lJ, SetEntity eID, entity k/o"E Ndq/n21j Update L"{qF<@V7& Print "DONE!" >uT,Z,7O WyciIO1 End Sub ~Gm<F .(+ wd*8w$\ 如果屈光度是4,光瞳直径是4,则会输出如下数据: KtTv0[66 7.mY@ Accommodation = 4 Diopters pW$ZcnU Pupil Diameter = 4 mm BBuI|lr Set aqueous humor thickness = 2.81 `u6CuH5 Set anterior lens radius = 10.4 and conic constant = -2.375869 dZ}gf}.v Set posterior lens radius = -4.424557 and conic constant = -3.081019 " O0p.o Set lens thickness = 3.927 d1]CN6 7{G Set lens index of refraction = 1.42672 2q]y(kW+ Set pupil diameter = 4 VZuluV DONE! PJ}d-
yTJ Eo\g/@ (文章来源:讯技光电)
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