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简介 Xq`|'6]/ s5? 1w 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。 FHpS ?htRy o33wePx, 模型 S;#S3?G hES_JbX}] 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。 7PG&G5 #({0HFSC:j Table 1. AZ眼睛模型的定义 }3sj{:z{ 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. !yAlb#yu ZdbZ^DUR<( 光源 {E*dDv @[{9B6NlV 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。 A:$Qt%c rEwEdyK 61e)SIRz9I 图1. 光源和提示信息使用 -*8 |J; 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。 ?+-uF} @~pIyy\_ 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。 MY>mP 8,\toT7 图2. 字母F光源的设定方法光 r}k2n s9 ??&Q"6Oe 图3. 字母F在视网膜上位置点列图 eSvS<\p 视网膜的散射 wZ7Opm<nt c#'t][Ii 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。
ismx evD 6Y4sv5G /VFh3n>I2 图4. 视网膜朗伯散射设定 AD_RU_a9 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。 ? <b>2j /NvHM$5O% LWG%]m|C 图5. 视网膜重点采样规格设定 AlP}H~|M7 脚本 eUP.:(E 9[yW&t;# 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: Zpfsh2` -4du`dg 图6. 用户对话框的创建与编辑 r8.R?5F@ 图7. 用户对话框编辑器 1?:/8l%V 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。 d/I,` 余下的脚本计算与屈光度有关的所有参数。 3[mVPV fBtTJ+51} 分析 W&E?#=*X OW}ny 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 a<%Ivqni 38<!Dt+S(, 图7. 字母F在视网膜上颜色分析 M<h2+0(il 脚本代码 3>60_:+Zb +OSF0#bj Option Explicit 'Remove this to enable non-dimensioned variables to be used. \F`%vZrKR YN.[KQ(! Dim entity As T_ENTITY zx:Qz Dim op As T_OPERATION h-)tWJ c Dim mat As T_MODELMATERIAL WI@l2`X Dim A As Double v|DgRPY Dim pupilDiam As Double ft |W Dim eID As Long nPlg5&E Dim parID As Long Y3%_IwSJ| Dim count As Integer Jz"Yb
Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double IRWVoCc9/\ Dim tlens As Double, nlens As Double ?@n,
9! Dim curv As Double, conic As Double b+b]., Dim ok As Long >@Vap jL^3/0"o Sub Main F3)w('h9c be^+X[ '用户输入对话框 jU~q~e7Te Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 HLYog+? TextBox 220,21,40,21,.TextBox1 'default: 0 {tE9m@[AF Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _JEe] OKButton 40,91,90,21 _]oNbcbt( CancelButton 190,91,90,21 _x+)Tv Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 B!J~ t8 TextBox 220,49,40,21,.TextBox2 'default: 4 X
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eCK, End Dialog iX]tL:,~i Dim dlg As UserDialog $,I%g< x-E@[= ok = Dialog (dlg) SM?rss.= mz-sazgV If ok=0 Then 'cancel button was pressed 5/w4[d Print "Execution cancelled." (FVHtZi7 End KE$I!$zO End If zE,1zBS< TzSEQS{ 'Assign accommodation and pupil diameter & use defaults if field left empty &9j*Y If dlg.TextBox1 = "" Then TUy
25E A = 0 'Default accommodation
W!Qaa(o? Else pB(|Y]3A A = CDbl(dlg.TextBox1) g"}j End If 8'<RPU}M AHB_[i'>7 If dlg.TextBox2 = "" Then 4:zyZu3fm pupilDiam = 4 'Default pupil diameter !-tP\%' Else Zb&5)&'X pupilDiam = CDbl(dlg.TextBox2) /#Fz
K End If UlNx5l+k QgF2f/;! Print " " u{J\X$] Print "Accommodation = " & A & " Diopters" f%[0}.wp Print "Pupil Diameter = " & pupilDiam & " mm" }5b,u6 rbw~Ml0 ' Calculate new parameters with accommodation /mK."5-cm taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~rfUqM]I *8% nbR Rant = 12.0 - 0.4*A 'Radius of anterior lens e'dx
Y( CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens }q?*13iy( Tebu?bj Rpost = -5.224557 + 0.2*A 'Radius of posterior lens zk m#w CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens G=(ja?d V*,6_-^l tlens = 3.767 + 0.04*A 'Lens thickness 7W.z8>p APUpqY nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction JT cE{i 1lLXu 'Adjust parameters to account for accommodation N2uTWT> -n"7G%$M '************************************************************************* 8+mu'RZ X 'Aqueous thickness (Position of Lens) wl Nl|+ K '************************************************************************* INNTp[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) J;5G]$s GetCustomElement eID, entity :"Gd;~p. Ue&I]/?;$ parID = FindFullName( "Geometry.Arizona Eye" ) pP)> x*1 SO+J5,)HA ' Delete any shift(s) in z k
& 6$S9 count = 0 =`EVg>+^ While GetOperationCount(eID)>count ]N^>>k GetOperation eID, count, op mV;)V8' If op.Type="ShiftZ" Then ' JAcN@q~z DeleteOperation eID,count CyKupJ.Fq count=count-1 N"Cd{3 End If lPA:ho/`: count=count+1 zbZN-j# Wend j&l2n2z }>yQ!3/i 'Set new shift in ;mauA#vd op.Type = "ShiftZ" 7Um3myXU op.val1 = taq ;\54(x}|K op.parent = parID S{S.H?{F
AddOperation eID, op 1Gp|_8 Print "Set aqueous humor thickness = " & taq-0.55 xX~;
/e&, UNCI"Mjb '************************************************************************* f-5}`)`.+ 'Radius and conic constant of anterior lens AiUK#I '************************************************************************* JPM W|JT eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) js[H $ GetConic eID, entity, curv, conic +nKf ^rG OE(!^"5?[ SetConic eID, entity, 1/Rant, CCant @u1mC\G Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ;@/vKA3l. uuf+M-P '************************************************************************* %Hpz^<` 'Radius and conic constant of posterior lens 8C4v '************************************************************************* pKhV<MFB eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) NGAjajB GetConic eID, entity, curv, conic - -ZSl %-O[%Dy SetConic eID, entity, 1/Rpost, CCpost G]E-2 _t7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Uq=!>C8 gVN&?`k*? '************************************************************************* +<7a$/L?4 'Lens thickness (Position of posterior lens surface) OcZ8:`=% '************************************************************************* K)nn;j= &-(p~[| parID = FindFullName( "Geometry.Arizona Eye.Lens" ) +7$zL;ph=n Pi'[d7o ' Delete any z-shift(s) D`@*udn= count = 0 ^ jT1q_0 While GetOperationCount(eID)>count Wu
U_RE GetOperation eID, count, op JAS!eF If op.Type="ShiftZ" Then 0ChdFf7 DeleteOperation eID,count ?T7ndXX count=count-1 YnwP\Arfq End If 95^-ptO{1` count=count+1 -n]E\" Wend Y5\=5r/ )kt,E}609 'Set new z-shift O_|p{65 op.Type = "ShiftZ" nhI1`l& op.val1 = tlens {PQ!o^7y op.parent = parID )jm u*D5N AddOperation eID, op &/{x7;e Print "Set lens thickness = " & tlens hgI;^ia
I>%@[h,+ '************************************************************************* tN&_f==e 'Lens index of refraction FW,@.CX '*************************************************************************
ehr,+GX eID = FindMaterial( "Lens" ) {+x;J4 GetModelMaterial eID, mat @1tv/W
)NCSO b mat.Nd = nlens x[1(cj SetModelMaterial eID, mat 6dQ]=]; Print "Set lens index of refraction = " & nlens JB(P-Y#yyA Vv~:^6il '************************************************************************* Q??nw^8Hi 'Pupil diameter VQ'DNv| 9 '************************************************************************* MP%pEUomev eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2[TssJQ ZY{zFg9 'Adjust pupil diameter (trimming volume inner hole) -?PXj)< d ~3GEK SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" c(!8L\69V} }q<%![% ' Adjust pupil location to just in front of the lens #`b5kqQm parID = FindFullName( "Geometry.Arizona Eye" ) 2kQa3Pan eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q3$;lLsb;j count = 0 7) e#b While GetOperationCount(eID)>count A Z& ]@Ao GetOperation eID, count, op ?R\:6x< If op.Type="ShiftZ" Then u<a =TPAU DeleteOperation eID,count }5a$Ka- count=count-1 [I4&E > End If #vBS7ba count=count+1 KvfZj Wend ,?ci+M) op.Type = "ShiftZ" BHEZ<K[U
op.val1 = taq-0.01 b.sRB1 op.parent = parID P},d`4Ty@ AddOperation eID, op YMTB4|{ Ceco^Mw Print "Set pupil diameter = " & pupilDiam _M9-n 1pHt3Vc(G 'Update AZ Eye subassembly Description K_t!P eID = FindFullName( "Geometry.Arizona Eye" ) _$YT*o@0J GetEntity eID, entity Q^z&;%q1 entity.Description = "Accommodation = " & A & "D" M~#%
[?iU SetEntity eID, entity CxW-lU3G` O]N
8QH Update =x3ZQA Print "DONE!" 9;k!dM SB\T
iH/ End Sub )Y:9sd8g7 PDH00(#;+ 如果屈光度是4,光瞳直径是4,则会输出如下数据: y&8kORz;? ] f~mR_E Accommodation = 4 Diopters x0 dO^D Pupil Diameter = 4 mm b+qdl`Vd Set aqueous humor thickness = 2.81 sU}.2k Set anterior lens radius = 10.4 and conic constant = -2.375869 6fr@y=s2: Set posterior lens radius = -4.424557 and conic constant = -3.081019 #pm0T1+jW Set lens thickness = 3.927 soi.`xE Set lens index of refraction = 1.42672 {^qp~0 Set pupil diameter = 4 N&'05uWY} DONE! f}U@e0Lsb
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