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简介 pK<%<dIc 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。 T7^ulG1' b#Jo Xa9 模型 (eki X*y ~c!Rx' 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。 ;v%Q8 xJN |w\& Table 1. AZ眼睛模型的定义 32s5-.{c/f 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. {ip=iiW2 //~POm 光源 " \`BPN g&q]@m 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。 fVG$8tB -g9^0V`G v'h3CaA9j 图1. 光源和提示信息使用 lfXH7jL2~ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 p}96uaC1 4U}zJP(L 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 lt{lHat1 >'eB2 图2. 字母F光源的设定方法光 )\0Ug7]? j p! 图3. 字母F在视网膜上位置点列图
.V8/ELr] 视网膜的散射 p(~Y"
H <%M\7NDWDA 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 (D0C#<4P w'!ECm>*` 3%_
4+zd 图4. 视网膜朗伯散射设定 ~g*Y,
Y 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 <9ePi9D( oSN8Xn*qr J 5Wz4`' 图5. 视网膜重点采样规格设定 N$C{f;xV 脚本 f#'8"ff*1 gTqeJWX9wP 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: Jq=00fcT+ g@<sU0B 图6. 用户对话框的创建与编辑 &7$,<9. 图7. 用户对话框编辑器 7fap* 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 /_$~rW 余下的脚本计算与屈光度有关的所有参数。 6e-#XCR{ $7msL#E7 分析 #L_@s
d ?(fQ<i n 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;3 G~["DA F5<"ktnI 图7. 字母F在视网膜上颜色分析 F9Ifw><XM 脚本代码 Oyi;bb<# Sg/:n,68 Option Explicit 'Remove this to enable non-dimensioned variables to be used. }l,T~Pjb hO^&0? Dim entity As T_ENTITY &=v/VRan[ Dim op As T_OPERATION *eHA:
A_I Dim mat As T_MODELMATERIAL H(X+.R,Thp Dim A As Double u^}7Vs
. Dim pupilDiam As Double fn1 ?Qp| Dim eID As Long 4C l,Iw/; Dim parID As Long =#OHxM Dim count As Integer xP8iz?6"V Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :hC
{5!| Dim tlens As Double, nlens As Double @`w' Dim curv As Double, conic As Double W2}%zux Dim ok As Long Xy[4f=X}z =nJOaXR0 Sub Main B0-4ZT s$f+/Hs '用户输入对话框 0t5Q9#RY Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 RnMB Gxa TextBox 220,21,40,21,.TextBox1 'default: 0 a/`c ef Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6Y;Y}E OKButton 40,91,90,21 4a(g<5wfI CancelButton 190,91,90,21 Z_iAn TT Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :SpG&\+ TextBox 220,49,40,21,.TextBox2 'default: 4 *]{9K End Dialog &,W_#l{ Dim dlg As UserDialog "\VW.S }ZEfT] ok = Dialog (dlg) 4q\.I+r^ v+xgxQGYH If ok=0 Then 'cancel button was pressed ^tm++ Print "Execution cancelled." l(h;e&9x End L
LYHr End If iYO
wB'z 3R)cbwL 'Assign accommodation and pupil diameter & use defaults if field left empty a<OCO0irJ If dlg.TextBox1 = "" Then N oX_? A = 0 'Default accommodation @D.R0uM Else v YRt2({}Z A = CDbl(dlg.TextBox1) Z]mM End If N&0uXrw jOoIF/So If dlg.TextBox2 = "" Then ,omp F$% pupilDiam = 4 'Default pupil diameter g5kYyE Else MZUF! B
pupilDiam = CDbl(dlg.TextBox2) d8Q_6(Ar| End If $\YLmG s=^r/Sz902 Print " " ,Az`6PW Print "Accommodation = " & A & " Diopters" :GwSs'$O Print "Pupil Diameter = " & pupilDiam & " mm" *_4n2<W$ xJ[k#?T' ' Calculate new parameters with accommodation m
wRLzN taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Pe+ 8~0o=R CX&yjT6` Rant = 12.0 - 0.4*A 'Radius of anterior lens nLFx/5sL CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens *j_fG$10g BNL8hK`D Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yNhscAMNn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !7IT~pO` q
G :jnl tlens = 3.767 + 0.04*A 'Lens thickness / K_e;(Y_ E6k?+i
w nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Se^/VVm :/yr(V{ 'Adjust parameters to account for accommodation b2/N H1A C>w9
{h '************************************************************************* X] JpS 'Aqueous thickness (Position of Lens) p:[`%<j0 '************************************************************************* 4! Oa4 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;+r) j"W GetCustomElement eID, entity )AnlFO+V Ac5o K parID = FindFullName( "Geometry.Arizona Eye" ) wZ]BY; Oi
kU$~| ' Delete any shift(s) in z L#7)X5a__ count = 0 F$6])F While GetOperationCount(eID)>count S1H47<)UF GetOperation eID, count, op Kh:#S|
If op.Type="ShiftZ" Then L6[rvM|9_ DeleteOperation eID,count G!e}j
@@ count=count-1 sl^s9kx;C$ End If \4\\575zp' count=count+1 E+^} B/"
Wend (2O} B.6 2vh!pez_ 'Set new shift in 7'{Yz op.Type = "ShiftZ" BuEQ^[Ex op.val1 = taq |L.~Amd op.parent = parID (Qx-KRH AddOperation eID, op /,rF$5G, Print "Set aqueous humor thickness = " & taq-0.55 aV?}+Y{# mf*9^}l+Zn '************************************************************************* Lilk8|?#W 'Radius and conic constant of anterior lens ^O$[Y9~*
'************************************************************************* ~P]HG;$?n eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) shDt&_n GetConic eID, entity, curv, conic o%4&1^ Vg ohc/.5Kl SetConic eID, entity, 1/Rant, CCant wCq)w=, Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant TN |{P YA;8uMqh; '************************************************************************* WnJLX ^; 'Radius and conic constant of posterior lens &aevR^f+ '************************************************************************* f1]AfH# eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XY+aunLf
GetConic eID, entity, curv, conic N}l]Ilm$34 xPfnyAo?%z SetConic eID, entity, 1/Rpost, CCpost l9ifUhe Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost n6%jhv9H 3f:1D=f '************************************************************************* .~A"Wyu\ 'Lens thickness (Position of posterior lens surface) *nsnX/e(- '************************************************************************* 2LxVt@_R!% ~kj(s>xP parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :`>+f.) ?CUp&L0-" ' Delete any z-shift(s) o$blPTN count = 0 &Xl_sDvt While GetOperationCount(eID)>count YW$x: GetOperation eID, count, op od5w9E. If op.Type="ShiftZ" Then UB&S 2g DeleteOperation eID,count J%Z)# count=count-1 SbPjU50 End If O 44IH`SI count=count+1 TJw.e/ Wend B'gk/^6$eg ILr6W@o5A 'Set new z-shift Q5Ghki op.Type = "ShiftZ" S^Wqa:; op.val1 = tlens Ji}IV op.parent = parID bF Y)o Z AddOperation eID, op [q>i Print "Set lens thickness = " & tlens <R~~yW:H aji~brq '************************************************************************* ^cmP 'Lens index of refraction FvI0 J
'************************************************************************* HyX4ob[X eID = FindMaterial( "Lens" ) t!=~5YgKs GetModelMaterial eID, mat | 7'yk__m $L#Z?76v mat.Nd = nlens -< dMD_ SetModelMaterial eID, mat )V$! Print "Set lens index of refraction = " & nlens l#vw
L15 2W:?#h3 '************************************************************************* XFf+efh 'Pupil diameter sO4}kxZ '************************************************************************* g2 {?EP eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ZhbY,wJ, agxSb^ 8tF 'Adjust pupil diameter (trimming volume inner hole) NK#"qK""k @8M2'R\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" b{|/J <Fe }zS&H-8K ' Adjust pupil location to just in front of the lens 'ZZWH parID = FindFullName( "Geometry.Arizona Eye" ) q(ET)xCeD eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) )|^<woli, count = 0 >->xhlL* While GetOperationCount(eID)>count b} U&bFl GetOperation eID, count, op ]I' xLh` If op.Type="ShiftZ" Then "1`i]Y\' DeleteOperation eID,count ,Qi|g'a count=count-1 %K7EF_% End If DdS3<3]A count=count+1 O<d?'{ Wend I^\bS op.Type = "ShiftZ" /
-qt} op.val1 = taq-0.01 gZ >orZL' op.parent = parID M>H^<N}'A AddOperation eID, op [U7,\o4w _BLSI8!N@ Print "Set pupil diameter = " & pupilDiam }L7F
g%, *DI:MBJY 'Update AZ Eye subassembly Description p$o&dQ=n[ eID = FindFullName( "Geometry.Arizona Eye" ) =|V]8 tN GetEntity eID, entity <QW1fE entity.Description = "Accommodation = " & A & "D" f}ij=Y9 SetEntity eID, entity RJsG]` eKFc
W5O Update :2Rci`lp Print "DONE!" ?O>JtEz~lQ .L{+O6*c End Sub yY-t4WeXP @NwM+^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2l/5i]Tq V #\ZS{'J Accommodation = 4 Diopters y~ 4nF Pupil Diameter = 4 mm ecI
2]aKi Set aqueous humor thickness = 2.81 ,Yprk%JT Set anterior lens radius = 10.4 and conic constant = -2.375869 otH[?c?BT Set posterior lens radius = -4.424557 and conic constant = -3.081019 M*@aA
XM Set lens thickness = 3.927 u{nWjqrM*5 Set lens index of refraction = 1.42672 78inh% Set pupil diameter = 4 v4a4*rBI" DONE! U
<$xp }xlmsOHuI (文章来源:讯技光电)
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