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简介 @7%.7LK yyjw?#\8 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。 jQ|:I7y =DC3a3&% 模型 s%O Y<B@V2 |kc@L`7s 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。 V9Hl1\j^ "W5rx8a Table 1. AZ眼睛模型的定义 e}e6r3faz 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. ?2ItTrlB W+\?~L. 光源 T)~!mifX YQ7@D]# 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。 0<Q*7aY !b63ik15O~ BPewc9RxV 图1. 光源和提示信息使用 r**f,PDZ 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。 !D;c,{Oz VX!hv`E 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。 \7 Gz\=\LR bcn7,ht 图2. 字母F光源的设定方法光 ]Jn2Ra"j @vt$MiOi 图3. 字母F在视网膜上位置点列图 #x)8f3I 视网膜的散射 = ^s$
< (v^Z BM_ 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。 MMd.0JuaO V&iS~V0. |IN[uQ 图4. 视网膜朗伯散射设定 j^ nu| 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。 ~b6GrY"vB %Kl(>{N e2wvc/gG6 图5. 视网膜重点采样规格设定 0>FE% 脚本 'Wp@b678 ;MPKJS68@ 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: RG1\=J$:E o(fy d)t 图6. 用户对话框的创建与编辑 F>-}*o 图7. 用户对话框编辑器 ``4?a7!! 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 !iJipe5 余下的脚本计算与屈光度有关的所有参数。 P)hi||[ w
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P&7 分析 "V}qf3qU 9!#EwPD$# 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 kceyuD$3G s[X
B#)H4 图7. 字母F在视网膜上颜色分析 $r15gfne> 脚本代码 ShGp^xVj g "*;nHI D Option Explicit 'Remove this to enable non-dimensioned variables to be used. cmDT
+$s QN g\4% Dim entity As T_ENTITY T5e^J" Dim op As T_OPERATION 1tGgDbJU Dim mat As T_MODELMATERIAL ix*muVBj. Dim A As Double ag;dc Dim pupilDiam As Double 8,*3zVk- Dim eID As Long 6bL~6-h%) Dim parID As Long (a#pvEY Dim count As Integer Nw pS)6<- Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ti2 Dim tlens As Double, nlens As Double =/}X$,@2 Dim curv As Double, conic As Double HeozJ^u\? Dim ok As Long mb{q(WEPP H~Uq?!=b Sub Main <5IQc[3]aP p6[ (81 '用户输入对话框 ri=+(NKo- Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 {y-`QS TextBox 220,21,40,21,.TextBox1 'default: 0 h<NRE0- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,YB1 y)x OKButton 40,91,90,21 zy>}L # CancelButton 190,91,90,21 "%
Y u
wMY Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 u)~s4tP4 TextBox 220,49,40,21,.TextBox2 'default: 4 vYnftJK& End Dialog WeVi]n Dim dlg As UserDialog .NnGVxc5* rQj~[Y.c ok = Dialog (dlg) BIfi:7I;Q vgThK9{m; If ok=0 Then 'cancel button was pressed hSMV&Cs Print "Execution cancelled." W[|[;{ End DsQ/aG9c% End If BX3lPv RL&lKHA 'Assign accommodation and pupil diameter & use defaults if field left empty OKPJuV`y6 If dlg.TextBox1 = "" Then %rcFT_ A = 0 'Default accommodation i!,HB|wQ Else m
=k%,J_ A = CDbl(dlg.TextBox1) r/PKrw sC End If .@k *p >K "&-C$J5
Id If dlg.TextBox2 = "" Then 7>,rvW:] pupilDiam = 4 'Default pupil diameter TB#Nk5 Else PAoX$q pupilDiam = CDbl(dlg.TextBox2) Ef,Cd[]b End If K\^&+7&zVg [@2s&Ct; Print " " w+_Wc~f Print "Accommodation = " & A & " Diopters" aU(tu2 Print "Pupil Diameter = " & pupilDiam & " mm" t?3BCm$Mi HcO5?{2 ' Calculate new parameters with accommodation f:vD`Fz1 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness yekRwo| Euu
,mleM Rant = 12.0 - 0.4*A 'Radius of anterior lens
#T"64%dX CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3cThu43c q%S8\bt Rpost = -5.224557 + 0.2*A 'Radius of posterior lens I?M@5u CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ML=z<u+ d?7BxYaa tlens = 3.767 + 0.04*A 'Lens thickness 5;Ia$lm=y sykFSPy`' nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction {^m5#f 0" 61:9(*4~!F 'Adjust parameters to account for accommodation x'i0KF MaErx\ '************************************************************************* P)1EA; 'Aqueous thickness (Position of Lens) VDiOO '************************************************************************* 2AK}D%jfc eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (\&
62B1 GetCustomElement eID, entity !Uy>eji} 6~@5X}^<0 parID = FindFullName( "Geometry.Arizona Eye" ) Z4@y?fv7s 7K :FeW'N ' Delete any shift(s) in z \ V?I+Gc count = 0 qZbHMTnT6 While GetOperationCount(eID)>count [YE?OQ7# GetOperation eID, count, op 5hz_P+Q If op.Type="ShiftZ" Then u+z~ DeleteOperation eID,count jw4TLc7p count=count-1 K PggDKS End If Cuv|6t75' count=count+1 tJm{I)G Wend ^c'f<<z|7r 26PD[af64O 'Set new shift in 3:AU: op.Type = "ShiftZ" f4
O]`U op.val1 = taq ccMd/ op.parent = parID h2;l1G, AddOperation eID, op 6t$N78U Print "Set aqueous humor thickness = " & taq-0.55 (&c,twa~ 3#mE(
`|P '************************************************************************* U8[Qw}T P 'Radius and conic constant of anterior lens tqhh<u; '************************************************************************* `^%@b SE( eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) R@$+t:} GetConic eID, entity, curv, conic nx$bM(. ^U{P3%uZ SetConic eID, entity, 1/Rant, CCant t=
*Jg/$ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant O{ BW;Deo 5Pqt_ZWy '************************************************************************* +f]u5p[ 'Radius and conic constant of posterior lens TrQm]9 @ '************************************************************************* y#e ?iE@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) }VZM,.w GetConic eID, entity, curv, conic 1tyNRoET Q@Dkl
F SetConic eID, entity, 1/Rpost, CCpost X+*<B(E Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost b"3uD` eA&t% '************************************************************************* i'iO H|s 'Lens thickness (Position of posterior lens surface) wt\m+!u` '************************************************************************* z L8J`W Yx 3|G parID = FindFullName( "Geometry.Arizona Eye.Lens" ) xD^wTtT P
eHW[\) ' Delete any z-shift(s) MYu`c[$jZ count = 0 {83C,C- While GetOperationCount(eID)>count :mn(0
R~ GetOperation eID, count, op 1VGpq-4*j If op.Type="ShiftZ" Then Bs@:rhDi DeleteOperation eID,count +K&?)?/= count=count-1 yZ|+VXO End If wA1Ey:q count=count+1 sX!3_'- Wend X&.:H~xS+ <OIUyZS 'Set new z-shift iel-<(~ op.Type = "ShiftZ" _hWuAJ9Qy op.val1 = tlens 3l$E8?[Zwi op.parent = parID ",QYDFFeF AddOperation eID, op d~sJ=) Print "Set lens thickness = " & tlens X'xUwT|_+ ovbEmb '************************************************************************* dB@FI 'Lens index of refraction {x9j_/R '************************************************************************* r(]98a]o~ eID = FindMaterial( "Lens" ) m|lM.]2_ GetModelMaterial eID, mat {wHvE4F2 C_-%*]*,j mat.Nd = nlens , !r@9T SetModelMaterial eID, mat {hM"TO7\ Print "Set lens index of refraction = " & nlens Y}S.37|+^ 'V1!&Q |