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简介 !#~KSO}zW2 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。 5*+DN
U@ w>8kBQ?b 模型 v9FR [VqiF~o, 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。 X)6 G :cD 4f~sRubK Table 1. AZ眼睛模型的定义 S(nQ?;9, 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. :5$ErI m mZP; 光源 `"PHhCG+z B9[vv;lzu 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ](v,2(}= rk4KAX_[ SvQ|SKE': 图1. 光源和提示信息使用 bq)1'beW 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 6rj iZ% QlV(D< 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Q)BSngW+ M$Ui=GGq 图2. 字母F光源的设定方法光 >N 2kWSa Fx}v.A5 图3. 字母F在视网膜上位置点列图 D\+x/r?-I 视网膜的散射 p`rjWpH ]
Ok &%- 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。 $]xH"Z%" qo7<g*kf~ }yn%_KQ0 图4. 视网膜朗伯散射设定 $GU s\ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 y9]7LETv\M aMGh$\Pg G7|d$!% 图5. 视网膜重点采样规格设定 k{lo' 脚本 \m}a%/ );AtFP0Y 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: =OtW!vx#R. Jk`Jv; 图6. 用户对话框的创建与编辑 f4*(rX 图7. 用户对话框编辑器 $H.U ~ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 p/Q< VV 余下的脚本计算与屈光度有关的所有参数。 -T1R}ew*t {d'B._#i 分析 "%+||IyW 1 oKY7i$ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 "~EAt$ Sin)]zG~0 图7. 字母F在视网膜上颜色分析 r}e(MT:R' 脚本代码 \Gk}Fer N#jUqm Option Explicit 'Remove this to enable non-dimensioned variables to be used. "Dk@-Ac :|S[i(' Dim entity As T_ENTITY 1|-C(UW> Dim op As T_OPERATION frm[<-~ w0 Dim mat As T_MODELMATERIAL bZgo}`o% Dim A As Double lul Dim pupilDiam As Double ^`dMjeF Dim eID As Long .pe.K3G& Dim parID As Long m(:R (K(je Dim count As Integer eYoc(bG(+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ZVJ6 {DS/ Dim tlens As Double, nlens As Double CdCY#$Z Dim curv As Double, conic As Double (zy|>u Dim ok As Long g#l!b%$ I]5){Q"S Sub Main }j1;0 kb? CE '用户输入对话框 .Wp(@l'Hd Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 }*%=C!m4R! TextBox 220,21,40,21,.TextBox1 'default: 0 C"`\[F`.k Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^t<L OKButton 40,91,90,21 ;,TT!vea CancelButton 190,91,90,21 FMn|cO.vEP Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E=S_1 TextBox 220,49,40,21,.TextBox2 'default: 4 [:e>FXV End Dialog Ekrpg^3qp" Dim dlg As UserDialog ]v@ng8 bT9:9LP ok = Dialog (dlg) 7KRNTnd [a$1{[|) If ok=0 Then 'cancel button was pressed L{&1w Print "Execution cancelled." hHcevSr End _}']h^@Z End If d/3&3>/ 2fc+PE 'Assign accommodation and pupil diameter & use defaults if field left empty _f "I%QTL If dlg.TextBox1 = "" Then v[x 5@$ A = 0 'Default accommodation n31nORx50 Else F{7
BY~d A = CDbl(dlg.TextBox1) hhylsm End If Ebi~gGo ;9=4]YZt If dlg.TextBox2 = "" Then P??pWzb6HH pupilDiam = 4 'Default pupil diameter <>-gQ9 Else j9RpYz pupilDiam = CDbl(dlg.TextBox2) F3Vvqt*2 End If 6~s{HI! >B;S;_5=
Print " " \B/( H)Cd* Print "Accommodation = " & A & " Diopters" EOqV5$+ Print "Pupil Diameter = " & pupilDiam & " mm" _Bn8i( D,-L!P ' Calculate new parameters with accommodation *x2u taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness \4 t;{_ >i61+uzEd+ Rant = 12.0 - 0.4*A 'Radius of anterior lens FEa%wS{ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens lu1T+@t Ja\B%f Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {=R
vFA CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens X/Fip0i Pm24;' tlens = 3.767 + 0.04*A 'Lens thickness u<j.XPK )In;nc nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction F>@z&a}( S |@
Y ! 'Adjust parameters to account for accommodation dwzk+@]8 u8y('\( '************************************************************************* <sGioMr 'Aqueous thickness (Position of Lens) &j{IG`Trl '************************************************************************* )@.ODW;` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) wYHyVY2tj2 GetCustomElement eID, entity tE=$# A#79$[>w parID = FindFullName( "Geometry.Arizona Eye" ) \nV oBW( .8|5;!`WB ' Delete any shift(s) in z <("P5@cExU count = 0 ,?GAFgK: While GetOperationCount(eID)>count _8z GetOperation eID, count, op hJ Jo+NNN If op.Type="ShiftZ" Then ux7g%Q^" DeleteOperation eID,count KiNluGNt count=count-1 kRz qgVr% End If xoE,3Sn count=count+1 +n 8,=} Wend LA837%) 90$`AMR 'Set new shift in E|B1h!!\c op.Type = "ShiftZ" @eDL j} op.val1 = taq 8ax3"G op.parent = parID :OY7y`hRG AddOperation eID, op Z:MU5(Te Print "Set aqueous humor thickness = " & taq-0.55 K9'AYFse FkoN+\d '************************************************************************* vnz}Pr! c 'Radius and conic constant of anterior lens v[?eL0Z '************************************************************************* B;L^!sLP
eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Aa%ks+1 GetConic eID, entity, curv, conic =G<S!qW \V<deMb= SetConic eID, entity, 1/Rant, CCant s0'Xih sw6 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant \6Hu&WHy %G~%:uJ5 '************************************************************************* gB#$"mq, 'Radius and conic constant of posterior lens zd[cp@ '************************************************************************* TWQ{,
B eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V6
,59 GetConic eID, entity, curv, conic r|7 hm:F) RD p(Ci SetConic eID, entity, 1/Rpost, CCpost iW<B1'dp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Wv)2dD2I j2{ '! '************************************************************************* !Lj+&D|z 'Lens thickness (Position of posterior lens surface) 6~Xe$fP( '************************************************************************* X?.LA7 )CK E)l@uPA'1 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) dCMWv~> s|&2QG0'7 ' Delete any z-shift(s) *YY:JLe count = 0 [mk!]r While GetOperationCount(eID)>count }vdhk0 GetOperation eID, count, op ;-65~i0Iu If op.Type="ShiftZ" Then %S4pkFR DeleteOperation eID,count %7rWebd- count=count-1 b$ )XS End If ^?tF'l` count=count+1 +hS}msu' Wend E>?T<!r~j xpVYNS{c+| 'Set new z-shift enT.9|vm/ op.Type = "ShiftZ" P/FO, S-V op.val1 = tlens jW+L0RkX op.parent = parID L$FLQyDR AddOperation eID, op cB7=4:U Print "Set lens thickness = " & tlens Iih~rWJ &wZ:$lK#o '************************************************************************* 0$l D 'Lens index of refraction E8Wgm
8 '************************************************************************* s&$Zgf6Z eID = FindMaterial( "Lens" ) %k3a34P@ GetModelMaterial eID, mat PV%7m7=x S\jN:o#b mat.Nd = nlens &sQtS SetModelMaterial eID, mat e&u HU8k* Print "Set lens index of refraction = " & nlens Y&5h_3K;< .HG0%Vp '************************************************************************* l$Y7CIH 'Pupil diameter `7|v '************************************************************************* KyAQzN 9 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ZUMzWK5Th _D(F[p| 'Adjust pupil diameter (trimming volume inner hole) w]\O3'0Js #.%;U' #O SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" TlZ|E '_C .)mw~ 3] ' Adjust pupil location to just in front of the lens T;}pMRd% parID = FindFullName( "Geometry.Arizona Eye" ) E7axINca eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) F/}PN1#T count = 0 DP*[t8 While GetOperationCount(eID)>count W$P)fPU' GetOperation eID, count, op nK6{_Y> If op.Type="ShiftZ" Then j4Cad DeleteOperation eID,count $3%EKi count=count-1 -q\1Tlc]3 End If !UlG!820 count=count+1 e?G] fz Wend hM(|d@) op.Type = "ShiftZ" dd>stp op.val1 = taq-0.01 z/N~HSh!d op.parent = parID ueYZM<], AddOperation eID, op Xi1/wbC '8wA+N6Zr7 Print "Set pupil diameter = " & pupilDiam nYMdYt04sl B}YB%P_CWs 'Update AZ Eye subassembly Description l>S~)FNwXJ eID = FindFullName( "Geometry.Arizona Eye" ) >e"CpbZ' GetEntity eID, entity -2mm
5E~N entity.Description = "Accommodation = " & A & "D" X% S?o SetEntity eID, entity i}+K;,Da:8 H{`S/>)[ Update <`a!%_LC
[ Print "DONE!"
grnlJ= qv=i eU End Sub Z@ *^4Ve 6<R!`N 6 如果屈光度是4,光瞳直径是4,则会输出如下数据: {KE858 =\?KC)F*e Accommodation = 4 Diopters e&E""ye Pupil Diameter = 4 mm U*=ebZno Set aqueous humor thickness = 2.81 W :jC2,s!m Set anterior lens radius = 10.4 and conic constant = -2.375869 -D0kp~AO4N Set posterior lens radius = -4.424557 and conic constant = -3.081019 a}+|2k_ Set lens thickness = 3.927 F%t`dz!L Set lens index of refraction = 1.42672 _CBG? Set pupil diameter = 4 *)ZDN~z7o DONE! R-"A*/A 2 : }v&TQ (文章来源:讯技光电)
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