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简介 W\>^[c/ 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。 2-6.r_ \L9?69B~ 模型 /h7>Z9T T`g?)/ 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。 D0#T-B\# -yl4tW Table 1. AZ眼睛模型的定义 AY&9JSu6 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. $&= 4.7Yt y#Mc4? 光源 AJ>BF.> #0?"J) 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 W>?f^C!+m P e$^Mo.q 'z +$3\5L 图1. 光源和提示信息使用 zj9bSDVL( 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 +Q SxYV uG=t?C6 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 _Sly7_ o\@ A2r3 图2. 字母F光源的设定方法光 |t&G&)~: bl"
(<TM 图3. 字母F在视网膜上位置点列图 {WYu0J@ 视网膜的散射 U^[cYTG 1A%N0#_(Md 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 &547`* B_SZ?o XlPK3^'N)h 图4. 视网膜朗伯散射设定 R<n8M"B 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 u8-a-k5< io9y;S"+ }t@f|TX 图5. 视网膜重点采样规格设定 +,&m7L 脚本 }g>dn Q^a&qYK 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 5T$}Oy1 |~@x4J5, 图6. 用户对话框的创建与编辑 WZ^{zFoZ 图7. 用户对话框编辑器 t(J![wB} 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。 ~/j$TT" 余下的脚本计算与屈光度有关的所有参数。 !Qv5"_ mJ0}DJiX$ 分析 ]>
nPqL z>cIiprX 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 2YL`3cgfb DAjG*K{ 图7. 字母F在视网膜上颜色分析 iEiu%T> 脚本代码 x r-;,W TqS2!/jp Option Explicit 'Remove this to enable non-dimensioned variables to be used. Y
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=dgo!k Dim entity As T_ENTITY [kPD`be2# Dim op As T_OPERATION |7svA<<[ Dim mat As T_MODELMATERIAL 5~@?>)TBv Dim A As Double o2;(VSKhS Dim pupilDiam As Double p//T7rs Dim eID As Long lo cW_/ Dim parID As Long ! 9d_Gf- Dim count As Integer ~gu=x&{ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double y=[gQJ6~r Dim tlens As Double, nlens As Double W3De|V^ Dim curv As Double, conic As Double SV$nyV
Dim ok As Long i/NDWVFD 8h*t55 Sub Main Qo'yS"g<9) 6yE'/VB< '用户输入对话框 O {PW Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 x1t{SQ-C TextBox 220,21,40,21,.TextBox1 'default: 0 S-isL4D.Z Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 9.xvV|Sp OKButton 40,91,90,21 }TSgAwsbC CancelButton 190,91,90,21 Kb^>X{ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 vTpStoUM TextBox 220,49,40,21,.TextBox2 'default: 4 fx<FIj7 End Dialog J4YT)- Dim dlg As UserDialog SXQ@;=]xV {bT9VZ> ok = Dialog (dlg) X6Un;UL uc 'p]WhQ If ok=0 Then 'cancel button was pressed +C'XS{K,# Print "Execution cancelled." }-d)ms! End T36x=LX End If wAw42{M },rav] 'Assign accommodation and pupil diameter & use defaults if field left empty zm3-C%:Bw If dlg.TextBox1 = "" Then 34z_+
A = 0 'Default accommodation Y!Drb-U?; Else E_~x==cb A = CDbl(dlg.TextBox1) doBNghS End If 0|ZVA+ E(_KN[}S If dlg.TextBox2 = "" Then @c Z\*,T pupilDiam = 4 'Default pupil diameter VKy5=2& Else auRY|j pupilDiam = CDbl(dlg.TextBox2) /?Vdqci End If eI^gV'UK &M[MEO`t8 Print " " ?KCivf Print "Accommodation = " & A & " Diopters" )u0O_R Print "Pupil Diameter = " & pupilDiam & " mm" 69Nw/$ O16r!6=-n ' Calculate new parameters with accommodation @M=$qO_$9 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Dzr e' t)} \9^Uo Rant = 12.0 - 0.4*A 'Radius of anterior lens #EJP(wXa CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 6a*83G,k H8&p<= Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \QGa4_# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens wZjlHe #1[z;Mk0 tlens = 3.767 + 0.04*A 'Lens thickness B52yaG8C sm nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction fz3lR2~G KnJx{8@z 'Adjust parameters to account for accommodation Q/py qe G b,Ke>.m '************************************************************************* ^LVk5l)\>g 'Aqueous thickness (Position of Lens) 0oSQY[ht/ '************************************************************************* $eBQH eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yAG+] r GetCustomElement eID, entity vM(Xip7 0 _A23.Y parID = FindFullName( "Geometry.Arizona Eye" ) !"E-\cc' ($62o&I ' Delete any shift(s) in z 0/Z
!5-. count = 0 oxfF`L" While GetOperationCount(eID)>count J=iRul^S GetOperation eID, count, op Ux}W&K/?' If op.Type="ShiftZ" Then B`{mdjMy DeleteOperation eID,count 2 z7}+lH count=count-1 \0?$wIH? End If U;U08/y count=count+1 u]M\3V. Wend K(VW%hV1 HTk\723Rdw 'Set new shift in 5/?P|T op.Type = "ShiftZ" OxQYNi2 op.val1 = taq N*_"8LIfi_ op.parent = parID Xwq]f:@V AddOperation eID, op .'j29 6[u Print "Set aqueous humor thickness = " & taq-0.55 #!})3_Qc(y JoJukoy}F '************************************************************************* b7Oj<!Wo` 'Radius and conic constant of anterior lens ubbnFE&PD '************************************************************************* :Fe_,[FR eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {x{H$ f GetConic eID, entity, curv, conic Vb!O8xV4;+ \u M? S SetConic eID, entity, 1/Rant, CCant n@
[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ar$*a>'? VEs5;]#<2D '************************************************************************* yMxTfR 'Radius and conic constant of posterior lens {eQWO.C{ '************************************************************************* %;|0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) W~ruN4q. GetConic eID, entity, curv, conic YQd:M%$ P:k+ y$ SetConic eID, entity, 1/Rpost, CCpost SK
R1E];4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 1e}8LH7 |^( M{ '************************************************************************* e |V] 'Lens thickness (Position of posterior lens surface) C6jR=@42Q '************************************************************************* 7-*=|gl+ e2w&&B- parID = FindFullName( "Geometry.Arizona Eye.Lens" ) D4Etl5k g"K>5Cb ' Delete any z-shift(s) KX4],B5 + count = 0 ss
iok LE While GetOperationCount(eID)>count (D7$$!} GetOperation eID, count, op 9Ah[rK*} If op.Type="ShiftZ" Then !{Z~<Ky DeleteOperation eID,count <f>akT,W count=count-1 wK!~tYxP End If zT#`qCbT'J count=count+1 38IMxd9v Wend jc:s` 4 R_N:#K.M 'Set new z-shift _#C()Ro*P op.Type = "ShiftZ" +L%IG op.val1 = tlens wtH~-xSB| op.parent = parID p&Ed\aQ%z; AddOperation eID, op 3BQ!qO17^d Print "Set lens thickness = " & tlens _}gtcyx X.FGBR7=q '************************************************************************* ,}SCa'PB 'Lens index of refraction M.[rLJZ4 '************************************************************************* T!|=El> eID = FindMaterial( "Lens" ) ig!7BxM)<h GetModelMaterial eID, mat Z?G&.# : =L]Q2V} mat.Nd = nlens GJA`l8`SQ SetModelMaterial eID, mat I#rubAl Print "Set lens index of refraction = " & nlens ",Cr,;] n<7q`tM# '************************************************************************* bt/ =Kq# 'Pupil diameter r ?m6$ '************************************************************************* @n+=vC.xO eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) (u1m]WYL wvby?MhPY 'Adjust pupil diameter (trimming volume inner hole) z=Cr7- l.+yn91%> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" jZ*WN|FK? BS1Ap ' Adjust pupil location to just in front of the lens kg97S parID = FindFullName( "Geometry.Arizona Eye" ) $XnPwOj eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) s1j{x&OSq count = 0 #0Ds'pE- While GetOperationCount(eID)>count ,5Vt]#F5@ GetOperation eID, count, op gl%`qf6:O If op.Type="ShiftZ" Then 8|^CK|m6* DeleteOperation eID,count ]9 w76Z count=count-1 \cJa;WM> End If Rl~T$
Ey count=count+1 3'`dFY, Wend 9 ;i\g= op.Type = "ShiftZ" ]d}0l6 op.val1 = taq-0.01 9i q"" op.parent = parID p{$p
$/A AddOperation eID, op wq!iV | zZ-\a[F Print "Set pupil diameter = " & pupilDiam <n"C, ` uCI Xb 'Update AZ Eye subassembly Description 4,p;Km& eID = FindFullName( "Geometry.Arizona Eye" ) Fr2N[\>s GetEntity eID, entity Cfu=u *u entity.Description = "Accommodation = " & A & "D" V^s0fWa SetEntity eID, entity qQ]]~F C#0Qd% Update ~a9W3b4j Print "DONE!" ,E )|y4 ?/hZb"6W End Sub 8hanzwoJ: {-/^QX]6 如果屈光度是4,光瞳直径是4,则会输出如下数据: Dh4
6o|P 2/
rt@{V( Accommodation = 4 Diopters Z~ Pupil Diameter = 4 mm t<iEj"5 Set aqueous humor thickness = 2.81 OX]V)QHVZ Set anterior lens radius = 10.4 and conic constant = -2.375869 >o,^b\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 R"v 3!P Set lens thickness = 3.927 o`S? Set lens index of refraction = 1.42672 rZXrT}Xh{W Set pupil diameter = 4 1Tp/MV/> DONE! da!P0x9p aW_oD[l (文章来源:讯技光电)
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