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简介 ?8HHA:GP 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。 du+y5dw m%rd0=}57 模型 :WC2Ax7$2 |yvQ[U~PQ 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。 8][nmjk0 ?xK8# Table 1. AZ眼睛模型的定义 sPd Gw~{ 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. PxF<\pu& 2Fy>.*,? 光源 eeIhed9
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-Y03 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。 \Fl+\?~D M=.:,wRm <wZQc 图1. 光源和提示信息使用 0,r}o 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。 +nUy,S?43 I6~pV@h^= 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。 oV)~@0B&0 $ oTdfb 图2. 字母F光源的设定方法光 CPgC jtY #btLa\HJ 图3. 字母F在视网膜上位置点列图 'AzDP;6qFI 视网膜的散射 U0=] nJbtS#`G4 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。 r/& sub"X n 9\
C2r Z1zVwHa_ 图4. 视网膜朗伯散射设定 BeCWa>54i 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。 33jovK2 p/(~IC"!J H&F9J^rC 图5. 视网膜重点采样规格设定 ilK-?@u+ 脚本 I[b}4M6E
(]_ 1 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: ?P4w]a YiYV>gaf"H 图6. 用户对话框的创建与编辑 ]'5;|xc9$/ 图7. 用户对话框编辑器 5?p2%KQ 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。 Fd?"- 余下的脚本计算与屈光度有关的所有参数。 b k|m4| $\b$}wy* 分析 kR]!Vr*yh dX\.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。 6)z?f4, W-Fu -Cz= 图7. 字母F在视网膜上颜色分析 V I,ACj 脚本代码 $f,n8]
x8!ol2\`< Option Explicit 'Remove this to enable non-dimensioned variables to be used. :*t"8;O[ nM\eDNK Dim entity As T_ENTITY QF-LU
Dim op As T_OPERATION 1?)Xp|O Dim mat As T_MODELMATERIAL RbCPmiZcH Dim A As Double |UP `B| Dim pupilDiam As Double H(2!1?N+ Dim eID As Long |_}2f Dim parID As Long Kh(ZU^{n Dim count As Integer D,;\o7V Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !E,A7s Dim tlens As Double, nlens As Double e2z h&j Dim curv As Double, conic As Double 9m|kgY# 4 Dim ok As Long PGYXhwOI cUqke+! Sub Main m~@;~7I x %ThyOl@O '用户输入对话框 ?9 ! Z<H Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 7a#4tqM# TextBox 220,21,40,21,.TextBox1 'default: 0 53c 0
E Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 3l[McZ OKButton 40,91,90,21 4Y,R-+f CancelButton 190,91,90,21 3 N7[.I>A Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 0`)iIz TextBox 220,49,40,21,.TextBox2 'default: 4 so)"4
SEu End Dialog I&MY{f Dim dlg As UserDialog U7doU' V/ 90|7ArM_[ ok = Dialog (dlg) ^Y u6w\QM NM]s8cK_ If ok=0 Then 'cancel button was pressed BYTnrPA&Z; Print "Execution cancelled." #Y0-BYa^ End rEHk w
' End If fbWFLSm; (Fynok 'Assign accommodation and pupil diameter & use defaults if field left empty fGw^:,B If dlg.TextBox1 = "" Then s
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A = 0 'Default accommodation +j(d| L\ Else CPVjmRUF| A = CDbl(dlg.TextBox1) P~s$EJL* End If
%ObLWH' 9R;/*$ If dlg.TextBox2 = "" Then nL$x|}XAcj pupilDiam = 4 'Default pupil diameter o@#Y8M Else 4(Ov1a> pupilDiam = CDbl(dlg.TextBox2) K TsgJ\W End If 0dA7pY9 R)F;py8)I Print " " rj6tZJZ#o0 Print "Accommodation = " & A & " Diopters" mNb ?*3\ Print "Pupil Diameter = " & pupilDiam & " mm" CT KG9 T NE/m-ILw ' Calculate new parameters with accommodation JYrY[',u taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness L KCb_9 {%VV\qaC Rant = 12.0 - 0.4*A 'Radius of anterior lens hq:&wN7Q CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ZunCKc Xcrk;!IB? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens L7= Q<D< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !).}u,*'no V?P,&c?84 tlens = 3.767 + 0.04*A 'Lens thickness -b9;5eS! 1G0fp:\w nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 1iX)d)(b PzV@umC1#f 'Adjust parameters to account for accommodation ?gO8kPg/D 3m>+-})d '************************************************************************* Py>{t4;S 'Aqueous thickness (Position of Lens) 3I!?e!y3( '************************************************************************* b+6"#/s eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %'xb%`t GetCustomElement eID, entity a@@M+9Q >_c5r?]S G parID = FindFullName( "Geometry.Arizona Eye" ) "]m+z)lWd -pU|hSW*b ' Delete any shift(s) in z 4-kZJ\] count = 0 Q.9qImgN While GetOperationCount(eID)>count /^$UhX9v GetOperation eID, count, op BnCKSg7V If op.Type="ShiftZ" Then R64!>o"nED DeleteOperation eID,count Ul_M3"Z count=count-1 anj#@U;! End If /wxE1][. count=count+1 h'i{&mS_b Wend Ja]?&j osOVg0Gyj 'Set new shift in CvPioi op.Type = "ShiftZ" qC_mu)6 op.val1 = taq }m/RZP~= op.parent = parID ^9_UUzf\ AddOperation eID, op RQkyCAGx Print "Set aqueous humor thickness = " & taq-0.55 8K;Y2
# =?])['VaA '************************************************************************* d'*]ns 'Radius and conic constant of anterior lens lJzl6& '************************************************************************* X53mzs eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :^'O}2NP GetConic eID, entity, curv, conic ewuXpv%vwW K7e4_ZGI SetConic eID, entity, 1/Rant, CCant )i>[M"7 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Q \]Xm> ?
b[n|^wS '************************************************************************* 2oZ9laJO 'Radius and conic constant of posterior lens e8h,,:l3j '************************************************************************* T"T;`y@( eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) nRb^<cZf GetConic eID, entity, curv, conic Sf/q2/r?6[ wQ+dJ3b$ SetConic eID, entity, 1/Rpost, CCpost HPQ/~0$ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost kvGCbRC :Pq.,s '************************************************************************* Fl{WAg 'Lens thickness (Position of posterior lens surface) D-IR!js ] '************************************************************************* mPPk)qy IN7<@OS7 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) T;\^#1 S'U@X ' Delete any z-shift(s) V8-h%|$p3W count = 0 [4+q+ While GetOperationCount(eID)>count F?u^"}%Fc GetOperation eID, count, op 02JoA+ If op.Type="ShiftZ" Then t` 8!AhOgc DeleteOperation eID,count W3&tJ8*3 count=count-1 I\Glc=T* End If )9=(|Lp count=count+1 "R9Yb,tIN Wend /}5B&TZ=(3 b8BD8~; 'Set new z-shift i3mAfDF op.Type = "ShiftZ" yg;_.4TpIO op.val1 = tlens Y\+KoR'; op.parent = parID R4e&^tI@* AddOperation eID, op PoShQR< Print "Set lens thickness = " & tlens =l942p &hV Zx '************************************************************************* w7-WUvxl 'Lens index of refraction Y7U&Q:5' '************************************************************************* jU=<r eID = FindMaterial( "Lens" ) wk\L* \@Y} GetModelMaterial eID, mat },+~F8B F6S~$< mat.Nd = nlens LD (C\ SetModelMaterial eID, mat Vf-5&S&9 Print "Set lens index of refraction = " & nlens 0O2n/`' znZ7*S >6\ '************************************************************************* y/_wx(2 'Pupil diameter S{p}ux[}= '************************************************************************* noNm^hFL eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) `_ (~ Ud ivrXwZ7jT 'Adjust pupil diameter (trimming volume inner hole) :WXf.+IA x:5dCI
SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" FN
)d1q(~ I__ 4I{nI ' Adjust pupil location to just in front of the lens _$/
+D:K parID = FindFullName( "Geometry.Arizona Eye" ) noA-) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) _MYx%Z count = 0 *+lsZ8'^C While GetOperationCount(eID)>count ~!+h?[miV GetOperation eID, count, op b; 9n'UX\ If op.Type="ShiftZ" Then i(HByI DeleteOperation eID,count m/USC'U% count=count-1 -!*p*3|03| End If K%{ad1$c count=count+1 0^_MN~s(X Wend ;Gm>O7"|@ op.Type = "ShiftZ" w;yx<1f op.val1 = taq-0.01 ]1fZupM^6 op.parent = parID EIX\O6* AddOperation eID, op f =_^>>. z] @W[MHY Print "Set pupil diameter = " & pupilDiam q#1X[A() D6=HYqdj 'Update AZ Eye subassembly Description & 5
<** eID = FindFullName( "Geometry.Arizona Eye" ) %"7WXOv&z GetEntity eID, entity gM_:l entity.Description = "Accommodation = " & A & "D" IUhp;iH SetEntity eID, entity *Wyl2op6 Xt(!
a Update 6$B'Q30}r Print "DONE!" ~8Sqa%F> lL2-.!]R End Sub [V< 1_zqt 1
Nk1MGV 如果屈光度是4,光瞳直径是4,则会输出如下数据: d 7i#w
# cS~!8`Fwy Accommodation = 4 Diopters f4]&pcK Pupil Diameter = 4 mm {'(ej5,6 Set aqueous humor thickness = 2.81 =jIxI, Set anterior lens radius = 10.4 and conic constant = -2.375869 ~PUsgL^ Set posterior lens radius = -4.424557 and conic constant = -3.081019 oMTY)`me Set lens thickness = 3.927 }|He?[TR Set lens index of refraction = 1.42672 9H$g?'; Set pupil diameter = 4 E*4t8 DONE! u[`v&e my[,w$YM (文章来源:讯技光电)
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