|
简介 O<f_-n@G| 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。 ci5ERv` u 8U>R=M 模型 hr@KWE` >?M:oUVDU 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。
-N5r[*> D8h?s Table 1. AZ眼睛模型的定义 abD55YJY 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. bm%2K@ /U uVDB;6 光源 (5-"5<-@R O:r<es1 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:+AE oX3Q9) nUmA 图1. 光源和提示信息使用 g_>)Q 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。 Ca+d
?IS ReKnvF~ 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。 VbBZ\`b ICq;jf ML 图2. 字母F光源的设定方法光 ?xK9 :BMU c-[ 图3. 字母F在视网膜上位置点列图 ; {I{X}b 视网膜的散射 N
Ja]UZx 'ycs{}' 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。 "TtK!>!. /J{P8=x}_: 1P8$z:|~ 图4. 视网膜朗伯散射设定 X~GZI*P 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 yKZ~ ^ O|7q,bEm^ ]N1$ioC# 图5. 视网膜重点采样规格设定 'r1&zw( 脚本 Vl^jTX5N 8Mws?]\/q 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: %PlPXoG= .RJvu$U2j 图6. 用户对话框的创建与编辑 Z`b,0[rG[ 图7. 用户对话框编辑器 L$@RSKYp 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。 e
yTYg 余下的脚本计算与屈光度有关的所有参数。 XFK$p^qu &??(EA3
分析 Dvd.Q/f RG*Nw6A 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 lt,x(2 ?_<ZCH 图7. 字母F在视网膜上颜色分析 /8W}o/,s5 脚本代码 _?q\tyf3 F;q I^{m2 Option Explicit 'Remove this to enable non-dimensioned variables to be used. %*}JDx#@ Fdc bmQ Dim entity As T_ENTITY Zpu>T2Tp Dim op As T_OPERATION VJ_E]}H Dim mat As T_MODELMATERIAL Qt>yRt Dim A As Double puXJ:yo( Dim pupilDiam As Double 2vj)3%:7#E Dim eID As Long 8{?Oi'-|0 Dim parID As Long %HYC-TF# Dim count As Integer 8(Z*Vz uu Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double P7u5Ykc* Dim tlens As Double, nlens As Double hC6$>tl Dim curv As Double, conic As Double LgUaX Dim ok As Long +hXph [FyE{NfiJ% Sub Main #+Vvf #XJYkaL '用户输入对话框 /-BplU*"9 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |&RdOjw$u TextBox 220,21,40,21,.TextBox1 'default: 0 {Qw,L;R Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 (x.K%QC) OKButton 40,91,90,21 NO* 1km[# CancelButton 190,91,90,21 Lk3@Eu) Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 /}M@
@W TextBox 220,49,40,21,.TextBox2 'default: 4 P?TFX.p7 End Dialog sF|<m)Kt{W Dim dlg As UserDialog Iupk+x> I9>1WT<Yy ok = Dialog (dlg) .`)ICX ,HMB`vF If ok=0 Then 'cancel button was pressed <7TpC@"/g Print "Execution cancelled." M5%u>$2 End :_Ng`b/ End If {Ja#pt 7qzI] 'Assign accommodation and pupil diameter & use defaults if field left empty p(Qm\g< If dlg.TextBox1 = "" Then )*s.AFu]7x A = 0 'Default accommodation @.CPZT Else 37lmB
'~ A = CDbl(dlg.TextBox1) u[d8)+VX
End If C'5i>; $,h*xb. If dlg.TextBox2 = "" Then Ah)7A|0rT pupilDiam = 4 'Default pupil diameter {SROg;vA Else i 3?zYaT pupilDiam = CDbl(dlg.TextBox2) 0Y!Bb2m End If <[a9"G7 >Y{.)QS Print " " urog.Q Print "Accommodation = " & A & " Diopters" -{L[Wt{1 Print "Pupil Diameter = " & pupilDiam & " mm" $fC= v *AxKV5[H ' Calculate new parameters with accommodation
},[j+wx taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness XM8C{I1 y4shW|>5_ Rant = 12.0 - 0.4*A 'Radius of anterior lens %C)U
F CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens }A2@1TTPX &:{|nDT_2 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Iqo4INGIi CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens t3bDi/m ^(&:=r.PC tlens = 3.767 + 0.04*A 'Lens thickness S)Ld^0w V?5_J% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction M}@^8 tnKzg21% 'Adjust parameters to account for accommodation UGR5ILf yil{RfBEr_ '************************************************************************* Jnv91*>h8 'Aqueous thickness (Position of Lens) TXy*- <#vR '************************************************************************* Vw)\#6FL eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n}?kQOg0/ GetCustomElement eID, entity |4-Ey! P KQr=;O\T parID = FindFullName( "Geometry.Arizona Eye" ) _G'.VSGH LW,!B.`@ ' Delete any shift(s) in z 1S_KX. count = 0 ^s24f?3 While GetOperationCount(eID)>count WddU|-W GetOperation eID, count, op 0>.'w\,87B If op.Type="ShiftZ" Then o*dhks[ DeleteOperation eID,count Hj2P|;2S count=count-1 9$d (`-&9p End If cJH7zumM) count=count+1 Z/ThYbk Wend ew"[]eZ:ut LU%g>?m.] 'Set new shift in VY![VnHsB op.Type = "ShiftZ" flmcY7ZV op.val1 = taq 1uD}V7_y" op.parent = parID s'5
jvlG AddOperation eID, op $]%k
<|X Print "Set aqueous humor thickness = " & taq-0.55 Kk??} rfCoi>{< '************************************************************************* Dcp,9"yt% 'Radius and conic constant of anterior lens 4NbC V)Dm '************************************************************************* r9u*c eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) x&8?/BR GetConic eID, entity, curv, conic U(i2j)|^I3 U;{VL! SetConic eID, entity, 1/Rant, CCant T>LtN Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Xv'64Nc!; qP]Gl--q{ '************************************************************************* tU?lfU[7 'Radius and conic constant of posterior lens 3EzI~Zsx '************************************************************************* =8<SKY&\X eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 47t^{WrT GetConic eID, entity, curv, conic ql_aDoj 3 #jPQ[+ SetConic eID, entity, 1/Rpost, CCpost [9$>N Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XFM6.ye %=NqxF>> '************************************************************************* sg9ZYWcL 'Lens thickness (Position of posterior lens surface) p%,JWZ[ '************************************************************************* O0~[]3Y[= i@d!g"tot parID = FindFullName( "Geometry.Arizona Eye.Lens" ) zzPgLE55 g:OVAA ' Delete any z-shift(s) BeplS count = 0 `cVG_=2 While GetOperationCount(eID)>count v|n.AGn GetOperation eID, count, op GL
(YC-{ If op.Type="ShiftZ" Then WRD^S:`BH DeleteOperation eID,count D4
e)v% count=count-1 BDcl1f T End If (+T|B E3*# count=count+1 TNiFl hq Wend ^8We}bs-c b/<n:*$
'Set new z-shift GKm)wOb(*S op.Type = "ShiftZ" m#8mU,7 op.val1 = tlens @0t,vye op.parent = parID !QC-> AddOperation eID, op S* <:He&1 Print "Set lens thickness = " & tlens K4oLb"gB1 <tFq6| '*************************************************************************
t'7)aJMP 'Lens index of refraction |%TH|?kB '************************************************************************* CQ13fu+|6 eID = FindMaterial( "Lens" ) 3D%I=p( GetModelMaterial eID, mat +/AW6 1uS
_]59= mat.Nd = nlens "y5c)l(Rg SetModelMaterial eID, mat Soq
'B?> Print "Set lens index of refraction = " & nlens \}G/F! B;_M52-B '************************************************************************* B&<Z#C:I 'Pupil diameter My=p>{s '************************************************************************* 8Gs{Zfp!D eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ? NVN&zD] n802!d+Tn 'Adjust pupil diameter (trimming volume inner hole) r=s2wjk .}]5y4UQ. SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" OSsdB%bIu` uvZ|6cM ' Adjust pupil location to just in front of the lens kjjO<x?&* parID = FindFullName( "Geometry.Arizona Eye" ) VxaJ[s3PQ& eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Pm
V:J9 count = 0 zq(AN< While GetOperationCount(eID)>count +dIg&}Tr GetOperation eID, count, op C\
9eR If op.Type="ShiftZ" Then H?^Poe(=( DeleteOperation eID,count %0= |WnF- count=count-1 c1!h;(& End If -pyTzC$HO count=count+1 ={8ClUV# Wend Smg,1,= op.Type = "ShiftZ" \%rX~UhZ= op.val1 = taq-0.01 lHr?sMt op.parent = parID c00a;=ji AddOperation eID, op 0FHN o{nBtxZ" Print "Set pupil diameter = " & pupilDiam lYD-U8 -bcm"(<T' 'Update AZ Eye subassembly Description 57rc|]C eID = FindFullName( "Geometry.Arizona Eye" ) ,in`JM<o GetEntity eID, entity $)z(4Ev entity.Description = "Accommodation = " & A & "D" *|ubH?71%Y SetEntity eID, entity ~B|K]&/] ,Q2` N{f Update dk-Y!RfNx Print "DONE!" 8^^Xr FL"7u2rh, End Sub {N/(lB8 U
$e-e/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: jt=mK,% `A3"*,|z Accommodation = 4 Diopters -h8A< Pupil Diameter = 4 mm XwE(&ZCf'b Set aqueous humor thickness = 2.81 Pr<.ld\ Set anterior lens radius = 10.4 and conic constant = -2.375869 S0,p:Wey Set posterior lens radius = -4.424557 and conic constant = -3.081019 $hn#T#J3 Set lens thickness = 3.927 Ry r2 Set lens index of refraction = 1.42672 VuPa'2 Set pupil diameter = 4 YN.rj-;^+ DONE! [f&ja[m q 0,E*9y} (文章来源:讯技光电)
|