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简介 )N7Y^CN~ PE5R7)~A 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。 mt,OniU= Q G#d{,3Gq1 模型 X!9 B2w ~N<4L>y< 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。 b[o"7^H AlAY iUw{ Table 1. AZ眼睛模型的定义 `HZ;NRr 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. q,93nhs " NT e5 光源 ,*7 (%k^` 3|'>`!hb 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。 ?~hHGf\^b6 @d
mV #a'Ex=%rM 图1. 光源和提示信息使用 tjdaaN#,V 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。 +yk24
`> j4|N-: 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。 ykV
5 Y]/%t{Y 图2. 字母F光源的设定方法光 qI#;j%V 0n;<
ge&~R 图3. 字母F在视网膜上位置点列图 E5I"%9X0H 视网膜的散射 SL#0kc0x !4XOy B 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。 =kJ,%\E` 3?V_BUoON 18+)`M-5o 图4. 视网膜朗伯散射设定 a@@)6FM 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。 Yu)NO\3& GP?M!C,/}k wr$M$i: 图5. 视网膜重点采样规格设定 ST:A<Da" 脚本 wt!nMQ /aZ+T5O 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: 5=v}W:^v. =5/9%P8j9 图6. 用户对话框的创建与编辑 {^CY..3
A 图7. 用户对话框编辑器 "B3N*R([" 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。 !F A] 余下的脚本计算与屈光度有关的所有参数。 YQHw1 r:f[mk"-"A 分析 Z4S!NDMm~ /&
Jan: 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ++6`sMJ \m(VdE 图7. 字母F在视网膜上颜色分析 eg(6^:z?f 脚本代码 3RYpJAH $c]fPt"i Option Explicit 'Remove this to enable non-dimensioned variables to be used. oU056 =t9\^RIx)? Dim entity As T_ENTITY H`1{_ Dim op As T_OPERATION V@zg}C|e Dim mat As T_MODELMATERIAL ^l9N48]|? Dim A As Double _ba>19csq% Dim pupilDiam As Double fVF2-Rh= Dim eID As Long _jLL_GD Dim parID As Long 6$kq aS## Dim count As Integer #gRM i)(F Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double `A w^H! Dim tlens As Double, nlens As Double GFeQ%l`7F Dim curv As Double, conic As Double -:|?h{q?u Dim ok As Long $*e2YQdLo ;<&*rnH Sub Main iII=;:p W-mQjJ`,B '用户输入对话框 9^oKtkoDZ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @ ;*Ksy@1O TextBox 220,21,40,21,.TextBox1 'default: 0 LAB=Vp1y3[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #Y*X<L OKButton 40,91,90,21 {:6r;TB CancelButton 190,91,90,21 i,>khc Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j[`j9mM8 TextBox 220,49,40,21,.TextBox2 'default: 4 7gf05Z'= End Dialog %zG;Q@ Dim dlg As UserDialog hs^zTZ_ 11o.c; ok = Dialog (dlg) ]^h]t~ 0z1ifg& If ok=0 Then 'cancel button was pressed Xe$ I7iKD Print "Execution cancelled." >V-A;S: End zk$FkbX End If 1oR7iD^ U#lCj0iUt, 'Assign accommodation and pupil diameter & use defaults if field left empty [k.t WA,& If dlg.TextBox1 = "" Then |iak z|]) A = 0 'Default accommodation [xSF6 Else )
i;1*jK A = CDbl(dlg.TextBox1) u+Y\6~=+ End If q]T1dz? _Gn2o2T If dlg.TextBox2 = "" Then nV"~-On pupilDiam = 4 'Default pupil diameter A,JmX Else [w0QZyUn pupilDiam = CDbl(dlg.TextBox2) '))0Lh
l End If k.uH~S _ uGwm
r Print " " n&$j0k Print "Accommodation = " & A & " Diopters" Ro\8ZXUQa Print "Pupil Diameter = " & pupilDiam & " mm" o}
J&E{Tk ,]bhy p ' Calculate new parameters with accommodation '~5LY!H(pT taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness T1 ut"Zu 6 eLR2 Rant = 12.0 - 0.4*A 'Radius of anterior lens &v56#lG CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens '*K :
lx CyJEY- Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Oxm>c[R CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens `` ,fodA8 }JF13beU tlens = 3.767 + 0.04*A 'Lens thickness ]OM"ZG/^ e^8 O_VB nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction
SWH2 L{X_^ 'Adjust parameters to account for accommodation k
Z?=AXu p2#)A" '************************************************************************* H=<S 9M 'Aqueous thickness (Position of Lens) :0Bq^G"ge '************************************************************************* PY{
G [ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) m4**~xfC GetCustomElement eID, entity \d6C%S! o*-)Tq8GHE parID = FindFullName( "Geometry.Arizona Eye" ) I4'5P}1yp DVG(Vw ' Delete any shift(s) in z qyZ"
%Kz count = 0 ( Z619w While GetOperationCount(eID)>count FEW14U'O GetOperation eID, count, op qU+t/C. If op.Type="ShiftZ" Then 1#C4;3i, DeleteOperation eID,count ,kiv>{ count=count-1 (uXL^oja End If YJ^]
u} count=count+1 gR&Q3jlIV Wend 'H3^e} v|gw9 'Set new shift in 0@[$lv;OS op.Type = "ShiftZ" 6^V=?~a&z op.val1 = taq eX?OYDDC0j op.parent = parID \MA+f~)9 AddOperation eID, op I&2c&yO Print "Set aqueous humor thickness = " & taq-0.55 !02`t4Zc- p#&h=,W} '************************************************************************* ^&B@Uw5{ 'Radius and conic constant of anterior lens ojafy} '************************************************************************* Ghu#XJB? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V_R@o3kv; GetConic eID, entity, curv, conic 44gPCW,u P9GN}GN%v SetConic eID, entity, 1/Rant, CCant 35A|BD)q Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .t{MIC |WQBDB`W '************************************************************************* }{,^@xdyW 'Radius and conic constant of posterior lens ; ^*}#Xd '************************************************************************* u#Pa7_zBj] eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bk[U/9Z\ GetConic eID, entity, curv, conic Z 6t56"u $3W;=Id=+ SetConic eID, entity, 1/Rpost, CCpost VEH&&@d Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cL-[ZvyVX `n.5f[wC '************************************************************************* |EIng0a 'Lens thickness (Position of posterior lens surface) TC N8a/@z '************************************************************************* ?[VM6- & .S!mf parID = FindFullName( "Geometry.Arizona Eye.Lens" ) e|NG"< Gk.
ruQW" ' Delete any z-shift(s) g%ndvdb m count = 0 BTlk
E tm While GetOperationCount(eID)>count F<ZYh GetOperation eID, count, op c%^7!FSg If op.Type="ShiftZ" Then hjU::m,WX DeleteOperation eID,count bh s5x count=count-1 4qphA9i1 End If 5/q}`T9i%7 count=count+1 i#&z2h-b Wend \(3y7 D xN>npP
'Set new z-shift Hta y-PB } op.Type = "ShiftZ" gD0eFTN op.val1 = tlens l3KVW5-!gS op.parent = parID GSY( AddOperation eID, op N@;?CKU Print "Set lens thickness = " & tlens !!qK=V|> CHdX;'`* '************************************************************************* 8&;UO{ 'Lens index of refraction }elc `jj '************************************************************************* ;5wn67' eID = FindMaterial( "Lens" )
#c!*</ GetModelMaterial eID, mat z(o,m3@v =Ee&da^MB mat.Nd = nlens 'WMh8) SetModelMaterial eID, mat 8a&:6Zuo Print "Set lens index of refraction = " & nlens jLy )r';lGh2# '************************************************************************* zUDg&-J3 'Pupil diameter x"eRJii? '************************************************************************* Okgv!Nt8)A eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) cO-7ke R7]l{2V#^ 'Adjust pupil diameter (trimming volume inner hole) zqd@EF6/bz :f Kl]XO SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" V
@rI`~$ ,4hJT ' Adjust pupil location to just in front of the lens @(l^]9(V\ parID = FindFullName( "Geometry.Arizona Eye" ) y9_V eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -Btk 3 count = 0 Z<U6<{b While GetOperationCount(eID)>count OHv[#xGuV? GetOperation eID, count, op 9*$t!r{B@ If op.Type="ShiftZ" Then 3NZK*!@' DeleteOperation eID,count M])ZK count=count-1 3sc+3-TF End If J%8(kWQ| count=count+1 ::o lN Wend wWgWWXGT} op.Type = "ShiftZ" k2E0/ @f{k op.val1 = taq-0.01 :WC2Ax7$2 op.parent = parID )js)2L~ AddOperation eID, op -VZ-<\uH 3E7ULK Print "Set pupil diameter = " & pupilDiam Ytgcs(
/$ -HQQw$ 'Update AZ Eye subassembly Description >82@Q^O eID = FindFullName( "Geometry.Arizona Eye" ) %el"BSB GetEntity eID, entity [vge56h entity.Description = "Accommodation = " & A & "D" |].pDwgt SetEntity eID, entity 85lCj-cs Z/Eb: Update ]d55m /( Print "DONE!" QS0:@.}$E) ?:Mr=]sD End Sub I6~pV@h^= oV)~@0B&0 如果屈光度是4,光瞳直径是4,则会输出如下数据: $ oTdfb k $M]3}$U Accommodation = 4 Diopters 4f@o mAM Pupil Diameter = 4 mm r$5i Wu Set aqueous humor thickness = 2.81 Y_}mYvJW Set anterior lens radius = 10.4 and conic constant = -2.375869 U93}-){m Set posterior lens radius = -4.424557 and conic constant = -3.081019 _4TH4~cY Set lens thickness = 3.927 ktI/3Mb@ Set lens index of refraction = 1.42672 -g)9R%>- Set pupil diameter = 4 A2^\q>_# DONE! W8Q|$ZJ88F
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