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简介 dtZE67KS )1
m">s4 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。 E5</h"1 lk3=4|?zsE 模型 PLX>-7@ Cr C=A=e 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。 y7/F_{ ]p7jhd= Table 1. AZ眼睛模型的定义 0hY{<^"Y 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. ICC%,$C~l .uF[C{RnO 光源 Jrxz'9qRG b[I8iS kfi 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 h6~$/`&]b >R\lqLILb, kD5!}+y 图1. 光源和提示信息使用 U75Jp%bL 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。 -' g*^ PPkx4S_> 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。 r V6/Tdy bN$r k| 图2. 字母F光源的设定方法光 h[o6-f<D rG}\Zjn{ 图3. 字母F在视网膜上位置点列图 ZfrVjUB 视网膜的散射 "ZwKk
G n_?tN\M 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 !-<p,z 7aV%=_ QnQOm"" 图4. 视网膜朗伯散射设定 I,yC
D7l_ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 #T w@wfaq) M{g%cR0 +N`ua 图5. 视网膜重点采样规格设定 N@ \&1I`c$ 脚本 qz?mh4Oh -m
*Sq 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: AN!s{7V3 7%f&M>/ 图6. 用户对话框的创建与编辑 ^XbU~3( 图7. 用户对话框编辑器 =X\^J 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。 ,R%q}IH# 余下的脚本计算与屈光度有关的所有参数。 SZaS;hhhHu -Eu6U`"( 分析 $odso;Hn 86]p#n_>Fv 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 wLc4Dm*V 7frTTSZ 图7. 字母F在视网膜上颜色分析 7X@mSXis 脚本代码 .*m>\>Gsgw *na?n2Yzt Option Explicit 'Remove this to enable non-dimensioned variables to be used. <sK4#!K 8Nu=^[qwQM Dim entity As T_ENTITY #@<9S{F Dim op As T_OPERATION `x%'jPP1^ Dim mat As T_MODELMATERIAL Z}$TKO*u Dim A As Double BauU{:Sh Dim pupilDiam As Double F*"}aP$ Dim eID As Long okbQ<{9 Dim parID As Long 7}M2bH} \K Dim count As Integer /|*
Y2ETOr Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 93Co}@Y;Y+ Dim tlens As Double, nlens As Double '>r7V Dim curv As Double, conic As Double i3rH'B-I. Dim ok As Long Fu!RhsW5j 'yMF~r3J Sub Main &=VDASEu sI{ M '用户输入对话框 qkiI/nH3 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _/i4MtM TextBox 220,21,40,21,.TextBox1 'default: 0 'Lu__NfN Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 tH-C8Qxy OKButton 40,91,90,21 X5j1`t, CancelButton 190,91,90,21 yUpgoX(6 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Q ]}Hd- TextBox 220,49,40,21,.TextBox2 'default: 4 M5 <@~V/[ End Dialog EK4d_L]I Dim dlg As UserDialog yu;P +G
iof-7{+3_ ok = Dialog (dlg) 6I%5Q4Ll iyg*Xbmi~. If ok=0 Then 'cancel button was pressed #{?qNl8F*J Print "Execution cancelled."
'FDef#P< End v%q0OX>9X" End If gHo?[pS%y gP;&e:/3 'Assign accommodation and pupil diameter & use defaults if field left empty 1fpQLaT If dlg.TextBox1 = "" Then V,cBk A = 0 'Default accommodation Evedc*z~P Else =>_\fNy A = CDbl(dlg.TextBox1) lhqg$lb End If C#Na&m \SBc; If dlg.TextBox2 = "" Then INJEsz pupilDiam = 4 'Default pupil diameter PpAu!2lt9 Else MRdduPrM%$ pupilDiam = CDbl(dlg.TextBox2) 2.l:O2< End If @0/+_2MH- z*a:L} $ Print " " |&zz,+ E Print "Accommodation = " & A & " Diopters" MB]<Dyj, Print "Pupil Diameter = " & pupilDiam & " mm" * -8&[D0 g\&g N ' Calculate new parameters with accommodation fTK3,s1= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness UWd=!h^dt uC(V Rant = 12.0 - 0.4*A 'Radius of anterior lens wY[+ZT CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 7t0er'VC oU.R2\Q Rpost = -5.224557 + 0.2*A 'Radius of posterior lens toBHkiuD CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 'Wmx)0) HK2[]G tlens = 3.767 + 0.04*A 'Lens thickness v@
lM3_rbO 1=d6NX)B nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +l<5#pazx ^f4s"T 'Adjust parameters to account for accommodation k@k&}N0{ rE.;g^4p '************************************************************************* 8|l\EVV6 'Aqueous thickness (Position of Lens) paCV!tP '************************************************************************* P*3BB>FO eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1cpiHZa GetCustomElement eID, entity qKr8)}h CTq&-l:f parID = FindFullName( "Geometry.Arizona Eye" ) h7lDHIQf l)1r+@)\ ' Delete any shift(s) in z e#$]Y?, count = 0 ;;6uw\6
O While GetOperationCount(eID)>count -z)n?(pftm GetOperation eID, count, op $QN"wL|| If op.Type="ShiftZ" Then 8
Hg+H=? DeleteOperation eID,count "&G/T ?4 count=count-1 Bg x'9p/ End If TJ6*t!'*X count=count+1 r\'A
i6 Wend M_/7D|xl/T Y)* #)f 'Set new shift in \/zq7j op.Type = "ShiftZ" keL&b/@ op.val1 = taq v$?+MNks op.parent = parID mwHB(7YS, AddOperation eID, op jaII r06 Print "Set aqueous humor thickness = " & taq-0.55 PNgY>=Y chM%]|gey '************************************************************************* <Tzrj1"Q3 'Radius and conic constant of anterior lens 0zmE>/O+ '************************************************************************* ;-~B)M_S` eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) g?goZPZB GetConic eID, entity, curv, conic 8lvV4yb u8&Z!p\ SetConic eID, entity, 1/Rant, CCant gY/"cq Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant nP$Ky1y G . qO@Q = '************************************************************************* C~,a!qY 'Radius and conic constant of posterior lens 5F)C jQ '************************************************************************* #Z?A2r!1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) {FeDvhv GetConic eID, entity, curv, conic a*lh)l<KV )~)J?l3{ SetConic eID, entity, 1/Rpost, CCpost _.tVSVp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost iVhJ t#_b o=1Uh,S3R '************************************************************************* |W,&
Hl7 'Lens thickness (Position of posterior lens surface) e^6)Zz1\ '************************************************************************* P{kur} T bh,[ 3X% parID = FindFullName( "Geometry.Arizona Eye.Lens" ) tqE6>"jD `i3NG1
v0 ' Delete any z-shift(s) ^ Edfv5 count = 0 N)uSG&S: While GetOperationCount(eID)>count x
nsLf?>] GetOperation eID, count, op dk[!V1x4\ If op.Type="ShiftZ" Then }7|1 DeleteOperation eID,count )B"jF>9)[ count=count-1 [kVS
O End If hZ?Rof count=count+1 6iVxc|Ia Wend SoW9p^HJ V\ZG d+? 'Set new z-shift ?PuBa`zDE op.Type = "ShiftZ" X9v.1s, op.val1 = tlens $v4.sl:x op.parent = parID T"{>t AddOperation eID, op !#], hok8X Print "Set lens thickness = " & tlens eBZXI)pPh QO<jI#
'************************************************************************* kyR:[+je 'Lens index of refraction 2e+UM$ '************************************************************************* 2J7:\pR^ eID = FindMaterial( "Lens" ) jwc)Lj} GetModelMaterial eID, mat >K_(J/&p %".HaI] mat.Nd = nlens l:
HTk4$0 SetModelMaterial eID, mat xK *b1CB Print "Set lens index of refraction = " & nlens N({MPO9 yr)G]K[/ '*************************************************************************
sJB;3"~ 'Pupil diameter bkOv2tZ '************************************************************************* <Th6r.#? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) u1J0$ ^n*)7K[
'Adjust pupil diameter (trimming volume inner hole) |^&b8 pNG:0 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" kvL=>
A @E&J_un ' Adjust pupil location to just in front of the lens G,&<<2{(f; parID = FindFullName( "Geometry.Arizona Eye" ) 5Yg'BkEr eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) @6Y?\Wx$w count = 0 >8~.wXyoC While GetOperationCount(eID)>count D$w6V GetOperation eID, count, op nHM~ If op.Type="ShiftZ" Then k :(SCHf DeleteOperation eID,count #3i3G(mQ count=count-1 "3X2VFwoJ End If R{C(K(5/ count=count+1 Vh'P&W?[ Wend |B?cVc0 op.Type = "ShiftZ" L7n D| op.val1 = taq-0.01 ;,hwZZA op.parent = parID F|'>NL-= AddOperation eID, op kjTduZ/3" Yxr>"KH6a Print "Set pupil diameter = " & pupilDiam 8r*E-akuyr T;Lkaxsn 'Update AZ Eye subassembly Description \ ZgE eID = FindFullName( "Geometry.Arizona Eye" ) &C`Gg< GetEntity eID, entity iN bIp"W entity.Description = "Accommodation = " & A & "D" QE^$=\l0 SetEntity eID, entity 9&$y}Y /j#n Update :vmH]{R Print "DONE!" 'j`=if "|x^|n8i End Sub J4k=A7^N W,K;6TZhh 如果屈光度是4,光瞳直径是4,则会输出如下数据: J9\Cm!H GB23\Yv Accommodation = 4 Diopters bZ dNibN Pupil Diameter = 4 mm eQ$Y0qH1E Set aqueous humor thickness = 2.81 KI.q@zO6| Set anterior lens radius = 10.4 and conic constant = -2.375869 j
b!x: Set posterior lens radius = -4.424557 and conic constant = -3.081019 b:U$x20n$ Set lens thickness = 3.927 +jAGGv^) Set lens index of refraction = 1.42672 b_$4V3TA Set pupil diameter = 4 FI)17i$
DONE! ^%d\qd`
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