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简介 )eYDQA>J Zu21L3 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。 /v#)f-N%zs ^ve14mbF#. 模型 #?Mj$ZB .!RavEg+ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 /0lC KU!= )(m0cP{7 Table 1. AZ眼睛模型的定义 {.CMD9F[ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ?n]FNjd :#u}.G 光源 ^.goO] CPviR<ms_ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 xWE8Wm *1^$.Q& 3o6RbW0[
图1. 光源和提示信息使用
!tNd\}@ 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。 jL>:>r pQWHG#?7 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。 por/^=e{Y cozXb$bBY 图2. 字母F光源的设定方法光 v`DI<Lt gR Nv-^ 图3. 字母F在视网膜上位置点列图 ~R]35Cp-# 视网膜的散射 M#,Q
^rH# ".U^ifF 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 x83a!9 OH6^GPF6 ,gx)w^WTm 图4. 视网膜朗伯散射设定 PaO-J&< 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 9V
0}d2d UBZ9A j9R6ta3\l 图5. 视网膜重点采样规格设定 M \D]ml~ 脚本 |<qs ]lBGyUJn 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: L":bI&V?: `bG7"o` 图6. 用户对话框的创建与编辑 U|@V
74 图7. 用户对话框编辑器 *>q/WLR 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 }|wv]U~ 余下的脚本计算与屈光度有关的所有参数。 izZ=d5+K 9YN? 分析 V[;M&=," %.HJK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 QM<y`cZ8 /rc%O*R 图7. 字母F在视网膜上颜色分析 LM)`CELsYc 脚本代码 7 sFz?`- M+P$/Wk Option Explicit 'Remove this to enable non-dimensioned variables to be used. `>lzlEhKV Y&.UIosWb Dim entity As T_ENTITY F<&!b2)ML Dim op As T_OPERATION $_;e>*+x Dim mat As T_MODELMATERIAL ZC0-wr\ Dim A As Double %O[N}_XHEh Dim pupilDiam As Double Uh6 '$0 Dim eID As Long FMw&( Dim parID As Long zaimGMJ , Dim count As Integer 8wZf]_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NjuiD]. Dim tlens As Double, nlens As Double YT#3n Dim curv As Double, conic As Double 9~\kF5Q" Dim ok As Long MCTsi:V>+ ~x:DXEV, Sub Main .)tSg ]0V}D,V($ '用户输入对话框 Qdk6Qubi! Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]< l6s TextBox 220,21,40,21,.TextBox1 'default: 0 S$q=;" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 IM@tN L OKButton 40,91,90,21 b7`D|7D CancelButton 190,91,90,21 )cJ#-M2 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 7[#yu 2 TextBox 220,49,40,21,.TextBox2 'default: 4 LNYKm~cN End Dialog `>C<}xO Dim dlg As UserDialog CY:d`4 D;}xr_ ok = Dialog (dlg) A7_4.VH g|X ;ahTT If ok=0 Then 'cancel button was pressed 21X`h3+= Print "Execution cancelled." {Ro2ouQ!V End thlY0XCq,% End If [lzN !!B! VosZJv= 'Assign accommodation and pupil diameter & use defaults if field left empty gV;H6" If dlg.TextBox1 = "" Then
mEG6 A = 0 'Default accommodation +n0r0:z0 Else XN=67f$Hw A = CDbl(dlg.TextBox1) "p&Y^] End If 0oZsb\ n:
ui If dlg.TextBox2 = "" Then ipnV$!z pupilDiam = 4 'Default pupil diameter *D}0[|O Else Fxs;Fp pupilDiam = CDbl(dlg.TextBox2) tc;'oMUP End If S^@S%Eg Dr&('RZ4 Print " " f
3V Dv9( Print "Accommodation = " & A & " Diopters" gN8hJG'0 Print "Pupil Diameter = " & pupilDiam & " mm" {Bs~lC$ !3n)|~r;K ' Calculate new parameters with accommodation jd]s<C3o taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Pt:e!qX) GG064zPq7 Rant = 12.0 - 0.4*A 'Radius of anterior lens ,_aM`%q?Fj CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <#=N
m0S$ - O98pi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens XgN` 7!Z CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :K`ESq!8u O4\Z!R60g tlens = 3.767 + 0.04*A 'Lens thickness )UgX3+@ 6fH@wQ"wN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction k(>h^ RpWTpT1 'Adjust parameters to account for accommodation <9E0iz+j Y?CCD4"qn '*************************************************************************
Amr[wx 'Aqueous thickness (Position of Lens) lt^\ '************************************************************************* WG*t::NN eID = FindFullName( "Geometry.Arizona Eye.Lens" ) `g8E1-]l GetCustomElement eID, entity kIw`P[ gTgMqvt parID = FindFullName( "Geometry.Arizona Eye" ) CTt vyr ~\ ,w { ' Delete any shift(s) in z @2pu^k^ count = 0 t*z~5_/ While GetOperationCount(eID)>count Re:jVJgBz GetOperation eID, count, op Y$N)^=7 If op.Type="ShiftZ" Then B]m@:|Q DeleteOperation eID,count 9I1tN count=count-1 !CXt*/~ End If
3G.5724, count=count+1 S)QAXjH Wend S6}@I ,Q U4m9e|/H;z 'Set new shift in ]{"Br$ op.Type = "ShiftZ" &PkLp4mQ op.val1 = taq Nx{$} op.parent = parID 4h5g'!9-g AddOperation eID, op Z3>N<u8) Print "Set aqueous humor thickness = " & taq-0.55 gu #-O?B O^/Maa/D1 '************************************************************************* ]| N3eu 'Radius and conic constant of anterior lens q@b|F- '************************************************************************* +!QJTn"3 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (P&4d~)m GetConic eID, entity, curv, conic 9lB]~,z kb[P\cRa SetConic eID, entity, 1/Rant, CCant R@Gq)P9? Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 91Uj}n% f;/QJ '************************************************************************* xs\!$*R 'Radius and conic constant of posterior lens uB!kM '************************************************************************* |
8qBm eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b-3*Nl _% GetConic eID, entity, curv, conic GUF"<k 4w#``UY)' SetConic eID, entity, 1/Rpost, CCpost wApMzZ(X2y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !61Pl/uQ Pnd`=%w%] '************************************************************************* nW;g28 'Lens thickness (Position of posterior lens surface) D;UV&.$'v '************************************************************************* dt~YW nXjPx@ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) kId
n6 Wx, 8/0Y vh ' Delete any z-shift(s) -P&6L\V count = 0 mhW-J6u* While GetOperationCount(eID)>count ##Z_QB(; GetOperation eID, count, op 5,)Qw If op.Type="ShiftZ" Then ,f1q)Qf DeleteOperation eID,count ^(*n] count=count-1 _EF&A-kX|u End If `DT3x{}_S count=count+1 -s9P8W Wend )K'N(w
aR,}W\6M 'Set new z-shift XUuu-wm:} op.Type = "ShiftZ"
{EdH$l>94 op.val1 = tlens #
O4gg op.parent = parID Rq[ M29 AddOperation eID, op ID.n1i3 Print "Set lens thickness = " & tlens rQ=,y>-* u_7~TE3W '************************************************************************* lg047K 'Lens index of refraction 0flg=U9 '************************************************************************* 'R&uD~Q eID = FindMaterial( "Lens" ) ,;M4jc{ GetModelMaterial eID, mat xQw7 :18wQ O@?kT;B mat.Nd = nlens q5>v'ZSo SetModelMaterial eID, mat 8ssJ<LP Print "Set lens index of refraction = " & nlens PQ@L+],C 31EyDU,W '************************************************************************* w`l{LHrR 'Pupil diameter 8EVgoJ. '************************************************************************* I|# 5NE6 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) B75k^ohfj Jv.UQ 'Adjust pupil diameter (trimming volume inner hole) gIA@l`" 0(_l|PScF SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" v=('{/^~> m^x6>9, ' Adjust pupil location to just in front of the lens :_Eqf8T parID = FindFullName( "Geometry.Arizona Eye" ) Agrp(i"\@ eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
^xPmlS;X count = 0 p">EHWc}D While GetOperationCount(eID)>count "T H6o:x GetOperation eID, count, op ~q&pF"va8 If op.Type="ShiftZ" Then QM?#{%31 DeleteOperation eID,count $<ld3[l i count=count-1 ]0L&v7[ End If udeoW-_ count=count+1 &CwFdx:Ff Wend X*,Kb(3 op.Type = "ShiftZ" Jjl`_X$CB op.val1 = taq-0.01 97)/"i e op.parent = parID wCk~CkC? AddOperation eID, op ki>~H!zB U\rh[0 Print "Set pupil diameter = " & pupilDiam xUfbW;;]UU .5!t:FPOv 'Update AZ Eye subassembly Description ["}rk eID = FindFullName( "Geometry.Arizona Eye" ) eSW{Cb GetEntity eID, entity UU8pz{/ entity.Description = "Accommodation = " & A & "D" ~n}k\s~|4 SetEntity eID, entity O0>A+o[1F zS]8V?` Update w\}?( uO Print "DONE!" _j_x1.l CkswJ:z)sc End Sub LSQz"Ll
l !z{-?o/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: gl&5l1& Ma|qHg Accommodation = 4 Diopters 4~U'TE
@ Pupil Diameter = 4 mm X>?b#Eva Set aqueous humor thickness = 2.81 F ]O$(7* Set anterior lens radius = 10.4 and conic constant = -2.375869 $4MrP$4TI Set posterior lens radius = -4.424557 and conic constant = -3.081019 FYS/##r Set lens thickness = 3.927 {D g_?._d Set lens index of refraction = 1.42672 +/D>|loRC Set pupil diameter = 4 81*M= ? DONE! dJ?XPo"Cm= ^uJU}v: 7Ol}EPf# QQ:2987619807 n[YEOkiG
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