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简介 Azdz3/ E#&c]9QM75 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。 5Tcl<Y6l f0N)N}y 模型 [1QkcR f6dE\ 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。
0&SrKn &)fhlp5 Table 1. AZ眼睛模型的定义 Rd;~'gbG 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. f0HV*%8 Occ8Hk/l. 光源 Hz;jJ&S nEa'e5
lg 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。 {YxSH% G*{ u(x( A{u\8-u 图1. 光源和提示信息使用 yC&b-y 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。 Fh3Dc 83~ ]w&?k:y> 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。 <(6-9(zHa EFT02#F_f 图2. 字母F光源的设定方法光 ]'bQ(<^# @poMK: 图3. 字母F在视网膜上位置点列图 :g]HB,78 视网膜的散射 66Cj=n5 6LF^[b/u 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。 C6;](rN)N X=!n,=xI NIXc ib"tG 图4. 视网膜朗伯散射设定 >R'VY "\ 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。 VE S4x%r= #k|g9` l52n/w#qFB 图5. 视网膜重点采样规格设定 |WwFE|< 脚本 C\hZ;Z1 VEdnP+D 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: "< hx zdpLAr 图6. 用户对话框的创建与编辑 l2KxZteXY0 图7. 用户对话框编辑器 ]@j"0F/` 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。 /w0v5X7 余下的脚本计算与屈光度有关的所有参数。 hvv>UC/ 0z<]\a4 分析 +ouy]b0`t f'?6D+Yw~ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #I{Yf(2Z J9KLO= 图7. 字母F在视网膜上颜色分析 l4B O@ 脚本代码 piM11W}|/ pmpn^ZR Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7<C~D,x6 %` uRUex Dim entity As T_ENTITY uD*s^ Dim op As T_OPERATION 3lrZ-k+S{ Dim mat As T_MODELMATERIAL k;Ny%%5 Dim A As Double Q!A3hr$IF Dim pupilDiam As Double p(b1I+! Dim eID As Long !6fpMo Dim parID As Long c%,6L <[ Dim count As Integer HZQ3Ht 3Vh Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double -L'`d Dim tlens As Double, nlens As Double ?0)XS< Dim curv As Double, conic As Double a.*j8T Dim ok As Long ;g)Fhdy! %K f. F Sub Main o B}G^t c+K=pp@ '用户输入对话框 %Fm;LQa ] Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ';T5[l, TextBox 220,21,40,21,.TextBox1 'default: 0 ~esEql=Q3' Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {O,M}0Eg OKButton 40,91,90,21 ^HN CancelButton 190,91,90,21 r D!.N
Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 nm|m1Z+U TextBox 220,49,40,21,.TextBox2 'default: 4 t=\[J+ End Dialog 5Yibv6:3a Dim dlg As UserDialog YH+\rb_ ^3@a0J=F ok = Dialog (dlg) $j2)_(<A%Q E#F9<=mA) If ok=0 Then 'cancel button was pressed >]08".ajS Print "Execution cancelled." <XcMc<h~ End W[Ew6)1T End If ^9f`3~!#bc |l \/ {F 'Assign accommodation and pupil diameter & use defaults if field left empty nX aX= If dlg.TextBox1 = "" Then FveK|- A = 0 'Default accommodation
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Else F3|pS: A = CDbl(dlg.TextBox1) adPU)k_j: End If ~I^[rP~ nKJ7K8) If dlg.TextBox2 = "" Then bRe *( pupilDiam = 4 'Default pupil diameter _eeX]xSSl Else Pisr&"A pupilDiam = CDbl(dlg.TextBox2) c5+lm}R ? End If +dpj? ){|Lh( Print " " '#
2J?f' Print "Accommodation = " & A & " Diopters" v 5ddb) Print "Pupil Diameter = " & pupilDiam & " mm" gbv[*R{<% c'TLD!^hB ' Calculate new parameters with accommodation V>j` taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;mKU>F<V x9
L\" Rant = 12.0 - 0.4*A 'Radius of anterior lens ?(UXK hs CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens T eTOj| @[Qg}'i Rpost = -5.224557 + 0.2*A 'Radius of posterior lens =QO[zke: CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens wyEgm:Vt M\4;d # tlens = 3.767 + 0.04*A 'Lens thickness >gLyz2 }ucg!i3C nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Jm,X~Si <a}|G1 h 'Adjust parameters to account for accommodation 3t6'5{ qinQ5 t '************************************************************************* 'ZgW~G]S 'Aqueous thickness (Position of Lens) 7%}}m&A7h '************************************************************************* qfe%\krN{i eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3;gtuqwD$ GetCustomElement eID, entity U4pvQE.m< J%B?YO, parID = FindFullName( "Geometry.Arizona Eye" ) =+\oL!^ l:/V%{sx ' Delete any shift(s) in z B y8Tw;aL count = 0 +Z0E?,Oz While GetOperationCount(eID)>count ^Exq=oV GetOperation eID, count, op zXPj7K* If op.Type="ShiftZ" Then +34jot.! DeleteOperation eID,count D4-U[l+K> count=count-1 <xNM@!'\h End If yKhzymS}T count=count+1 y_r6T
XnGL Wend p5BcDYOw` _(
Cp 'Set new shift in 55KL^+-~ op.Type = "ShiftZ" /T'nY{ op.val1 = taq tqC#_[~7 op.parent = parID Y)RikF > AddOperation eID, op E#]%e^ Print "Set aqueous humor thickness = " & taq-0.55 l'f!za0 py4_hj\v '************************************************************************* E:OeU_\ 'Radius and conic constant of anterior lens ]gk1h=Y~h '************************************************************************* QX|K(`of eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) pU/.|Sh GetConic eID, entity, curv, conic Im#$iPIvT "VCr^' SetConic eID, entity, 1/Rant, CCant Z:Am\7 I Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant cv1L!Ce, vBXr[XoC '************************************************************************* g"f^YEQ_ 'Radius and conic constant of posterior lens Inoou'jX '************************************************************************* yh<aFYdk eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I{bi3y0 GetConic eID, entity, curv, conic PS1~6f"D YT8`Vz$+ SetConic eID, entity, 1/Rpost, CCpost J6P
Tkm}^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Ca|;8ggf Xs_y!l '************************************************************************* ;& +75n 'Lens thickness (Position of posterior lens surface) t]XJq '************************************************************************* c5pG?jr+d (5
hu
W7v parID = FindFullName( "Geometry.Arizona Eye.Lens" ) u>#'Y+7 (#lS?+w) ' Delete any z-shift(s) OwUbm0)h^V count = 0 _>I5Ud8(- While GetOperationCount(eID)>count %4J?xhd GetOperation eID, count, op
`SrVMb( If op.Type="ShiftZ" Then _A*0K,F- DeleteOperation eID,count 2ra4t]f6 count=count-1 RPwSo.c4 End If {lJpcS count=count+1 ]ghPbS@ Wend p10->BBg l:HuG! 'Set new z-shift jT',+ op.Type = "ShiftZ" <D}k@M
Z op.val1 = tlens 3&f{lsLAC op.parent = parID ;p8xL)mUP AddOperation eID, op 00+5a
TrE Print "Set lens thickness = " & tlens wC~Uy% Sb.;$Be5g '************************************************************************* pP&~S<[ 'Lens index of refraction Xob##{P3 '************************************************************************* yFjSvm6 eID = FindMaterial( "Lens" ) SrIynO GetModelMaterial eID, mat m{|n.b Zlhr0itf mat.Nd = nlens '1<QK SetModelMaterial eID, mat ; V8 =B8w Print "Set lens index of refraction = " & nlens vSh)r 9 zuw6YY8kQ '************************************************************************* I]58;|J 'Pupil diameter .E(Ucnz/ '************************************************************************* IV76#jL eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Sj\8$QIXC zQ~nS 'Adjust pupil diameter (trimming volume inner hole) t"Rn#V\c."
Ox RzKT SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W;7cF8fu4 eo!{rs@f ' Adjust pupil location to just in front of the lens ja2LXM parID = FindFullName( "Geometry.Arizona Eye" ) ~<-i7uM eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) oID,PB*9 count = 0 3f0RMk$pH While GetOperationCount(eID)>count f`cO5lP/:) GetOperation eID, count, op JXrMtSp\ If op.Type="ShiftZ" Then ?]S*=6 DeleteOperation eID,count MFrVGEQBRL count=count-1 HUH=Y; End If }/=_ count=count+1 i{.!1i: Wend G"]'`2.m op.Type = "ShiftZ" :|bPr_&U$ op.val1 = taq-0.01 gU:jx op.parent = parID Onao'sjY AddOperation eID, op yd$y\pN=< sHNt>5p Print "Set pupil diameter = " & pupilDiam xpae0vw UWz<~Vy 'Update AZ Eye subassembly Description HjrCX>v eID = FindFullName( "Geometry.Arizona Eye" ) umY4tNe]$ GetEntity eID, entity 5^qI6
U entity.Description = "Accommodation = " & A & "D" GKX#-zsh79 SetEntity eID, entity $4m{g"xL #-{4F?DA]y Update D?$f[+ Print "DONE!" RaR$lcG+iY ral0@\T End Sub -70Ut
4B 7+fFKZFKF 如果屈光度是4,光瞳直径是4,则会输出如下数据: cYK3>p
A q*>`HTPcU Accommodation = 4 Diopters =73wngw Pupil Diameter = 4 mm 7C=t19&R' Set aqueous humor thickness = 2.81 HghNI Set anterior lens radius = 10.4 and conic constant = -2.375869 rxO|k0x^C Set posterior lens radius = -4.424557 and conic constant = -3.081019 DF<_Ns! Set lens thickness = 3.927 b1-JnEc Set lens index of refraction = 1.42672 h<[ o;E Set pupil diameter = 4 H'+P7*k#M DONE! J^U#dYd \\_Qv *+5AN306 QQ:2987619807 bx1'
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