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简介 K/A*<<r
~ t>1Z\lE\" 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。 hZh9uI7. mu?Eco`~ 模型 fNb`X -`<kCW" 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。 3BB%Z6F |_o=^?z' Table 1. AZ眼睛模型的定义 (ohq0Y 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. ) _mr! z(S ,stN 光源 Qi_>Mg`x :/:.Kb 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。 #k_HN}B !6s"]WvF T?:glp[4I 图1. 光源和提示信息使用 =0^Ruh 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。 Q>/C*@ P8^hBv* 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。 zXv3:uRp. :>D[n1v 图2. 字母F光源的设定方法光 bA\<.d p[<Dk$7K 图3. 字母F在视网膜上位置点列图 t<~ $ 视网膜的散射 6fd+Q
/ v3}L`dyh3 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。 vJ\pR~? }| J79s2M 70f Klp 图4. 视网膜朗伯散射设定 Y|8:;u' 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。 >tO`r.5u9 5QPM t^ <@}I0 图5. 视网膜重点采样规格设定 }
@K FB 脚本 |;.o8} Np'2}6P 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: *g y{] N5]0/,I} 图6. 用户对话框的创建与编辑 S:TgFt0 图7. 用户对话框编辑器 'd+NVj{C 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。 ]xX$<@HR 余下的脚本计算与屈光度有关的所有参数。 (>`5z(X H|RT?Q 分析 X5X?&* %{ f>piHh? 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 9AxCiT. U+)xu>I
图7. 字母F在视网膜上颜色分析 LbaK={tR 脚本代码 R
zf M9y<t' Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?T>'j mmV= BNd^qB ? Dim entity As T_ENTITY @O@GRq&V Dim op As T_OPERATION 3 n'V\Hvz Dim mat As T_MODELMATERIAL 0PU8#2pR Dim A As Double AtF3%Zv2 Dim pupilDiam As Double ,z;ky5Ct Dim eID As Long aYuD>rD Dim parID As Long zX0mdx<|< Dim count As Integer ^
<Pq,u%k Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ,0E{h}( Dim tlens As Double, nlens As Double 'XzXZJ[uq Dim curv As Double, conic As Double 4m*M,# mV Dim ok As Long d?:=PH ,WvY$_#xW% Sub Main :um|nRwy9 -O&CI)`;B '用户输入对话框 G:pEE:W[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 W
D
T]! TextBox 220,21,40,21,.TextBox1 'default: 0 :WSDf VX Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 tID%}Z v OKButton 40,91,90,21 u%]shm CancelButton 190,91,90,21 c)A{p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 HsnLm67' TextBox 220,49,40,21,.TextBox2 'default: 4 1gmt2>#v% End Dialog rg{9UVj Dim dlg As UserDialog ={5#fgK> rAs,X ok = Dialog (dlg) %H]lGN) Q%wY If ok=0 Then 'cancel button was pressed vfl5Mx4 Print "Execution cancelled." 6_d.Yfbq End e.@uhB. End If 7ULqo>j yv\#8I:qh 'Assign accommodation and pupil diameter & use defaults if field left empty Ux#x#N If dlg.TextBox1 = "" Then e|&6$A>4] A = 0 'Default accommodation ?V}j`r8|\4 Else zGc:
@z A = CDbl(dlg.TextBox1) 4#5:~M } End If jL^](J>
BWrv%7 If dlg.TextBox2 = "" Then m}8[#: pupilDiam = 4 'Default pupil diameter 0TmR/uUT Else Q}!mx7b0] pupilDiam = CDbl(dlg.TextBox2) ?W0)nQU End If &BtK($ MY/3]g< Print " " !!4Qj Print "Accommodation = " & A & " Diopters" Kh4$ wwn Print "Pupil Diameter = " & pupilDiam & " mm" (`6T&>(4 X^\>:< ' Calculate new parameters with accommodation zfc3)7 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness "Vr[4&` KAsS[ Rant = 12.0 - 0.4*A 'Radius of anterior lens 0b/ WpP CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &f7fK|} (u]N Rpost = -5.224557 + 0.2*A 'Radius of posterior lens _=q!
BW CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens QT9n,lX m$9w"8R tlens = 3.767 + 0.04*A 'Lens thickness v3GwD00 RGn!{= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction kN%MP6? J pSm $FBW h 'Adjust parameters to account for accommodation "wlt> SU 52.>+GC '************************************************************************* yA)(*PFz 'Aqueous thickness (Position of Lens) >yXN,5d[ '*************************************************************************
.AYj'Y eID = FindFullName( "Geometry.Arizona Eye.Lens" ) qim
'dp: GetCustomElement eID, entity =1P6Vk dB+N\HBY parID = FindFullName( "Geometry.Arizona Eye" ) kPQtQh]y% aA'|Rg, ' Delete any shift(s) in z 4GR!y) count = 0 8/t$d#xHI While GetOperationCount(eID)>count +rIL|c}J GetOperation eID, count, op 1Nu1BLPm If op.Type="ShiftZ" Then 5OO'v07b DeleteOperation eID,count T \CCF count=count-1 +4\U)Z/\ End If S}f?.7 count=count+1 DAwqo.m Wend s;1]tD |A%<Z( 'Set new shift in xr7+$:>a op.Type = "ShiftZ" DfV~!bY op.val1 = taq Dw7vv]+ S op.parent = parID ,v&L:a AddOperation eID, op hoT/KWD, Print "Set aqueous humor thickness = " & taq-0.55 /t6X(*xoy BC,.^"fA6 '************************************************************************* +dBz`WD 'Radius and conic constant of anterior lens Z4){
7|~a '************************************************************************* DI`%zLDcY eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) saU]`w_Z* GetConic eID, entity, curv, conic lCF`*DM# 1xU3#b&2tC SetConic eID, entity, 1/Rant, CCant ^'p|!`: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant +[J/Zw0{ g~BoFc.V2~ '************************************************************************* Qu<Bu)` 'Radius and conic constant of posterior lens aF|d^ '************************************************************************* <xJ/y|{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )HD`O~M> GetConic eID, entity, curv, conic M7>(hVEAW' -`f04_@>d SetConic eID, entity, 1/Rpost, CCpost *_ +7ni Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost )RYG% =pA
IvU '************************************************************************* ~^^ NHq 'Lens thickness (Position of posterior lens surface) c9j*n;Q '************************************************************************* uY<
H#k O)kgBrB parID = FindFullName( "Geometry.Arizona Eye.Lens" ) s4 %(>Q \([WH!7 ' Delete any z-shift(s) b dJ+@r count = 0 \<vNVz7.D While GetOperationCount(eID)>count v(leide GetOperation eID, count, op YpUp@/" If op.Type="ShiftZ" Then ]NhS=3*i+ DeleteOperation eID,count VD4C::J count=count-1 ;WT{|z End If H0a/(4/xg count=count+1 i)Lp7m z Wend j5Un1 7([h4bg{ 'Set new z-shift 55t\B ms{ op.Type = "ShiftZ" eQO#Qso] op.val1 = tlens #'OaKt?Z) op.parent = parID #a| L3zR5v AddOperation eID, op Gg\G'QU Print "Set lens thickness = " & tlens Q,Z*8FH= Px M!U!t '************************************************************************* M}DH5H"s 'Lens index of refraction ha;l(U> '************************************************************************* AGYm';z3 eID = FindMaterial( "Lens" ) vRA',(]( GetModelMaterial eID, mat tvX>{-M O3n_N6| q mat.Nd = nlens U,1AfzlF SetModelMaterial eID, mat ,pK|SL Print "Set lens index of refraction = " & nlens I\\QS.2 5&CDHc7Oj '************************************************************************* _SZ5P>GIU 'Pupil diameter ]WJfgN4 '************************************************************************* /?"8-0d eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) lH|LdlX OMihXt[ 'Adjust pupil diameter (trimming volume inner hole) RV-h IdAU Fk^3a'/4KJ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 8_uzpeRhJc 1 7hTr ' Adjust pupil location to just in front of the lens \'19BAm' parID = FindFullName( "Geometry.Arizona Eye" ) *.f2VQ~H eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) r)1Z(tl count = 0 |!d"*.Q@F While GetOperationCount(eID)>count YEYY}/YX GetOperation eID, count, op A%Z)wz{ If op.Type="ShiftZ" Then h5|.Et DeleteOperation eID,count -%IcYzyA count=count-1 yy2Ie End If <XQ.A3SG! count=count+1 Gie@JX Wend XeUC0K[D op.Type = "ShiftZ" ]*%+H|l op.val1 = taq-0.01 Em13dem op.parent = parID t~K%.|'0 AddOperation eID, op K.>wQA& ;n#%G^!H Print "Set pupil diameter = " & pupilDiam a0Oe:]mo\ E@QA". 'Update AZ Eye subassembly Description [JTto!Ih$ eID = FindFullName( "Geometry.Arizona Eye" ) Zu<]bv GetEntity eID, entity w,.qCp T$_ entity.Description = "Accommodation = " & A & "D" O>DNC-m)i{ SetEntity eID, entity E\)eu1Hw4B /k:$l9C[ Update ~el-*=<m Print "DONE!" =N.!k Vkl qFRdg V>8 End Sub ?~ULIO' X=p"5hhfn 如果屈光度是4,光瞳直径是4,则会输出如下数据: &hZwZgV+3 O ++/ry%k Accommodation = 4 Diopters ,8K'F
Pupil Diameter = 4 mm oJ;rc{n- Set aqueous humor thickness = 2.81 1]4^V7y Set anterior lens radius = 10.4 and conic constant = -2.375869 ;q#]-^ Set posterior lens radius = -4.424557 and conic constant = -3.081019 T|'&K:[TJ Set lens thickness = 3.927 gb-{2p>} Set lens index of refraction = 1.42672 gp< =Gmd Set pupil diameter = 4 Wr|G:(kw\! DONE! J?712=9 wODvc9p}] 2z2` QQ:2987619807 E[Bo4?s&^
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