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简介 "3?:,$* qPCI@5n3T? 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 9O:-q[K** f:9qId
;/M 模型 "l6Ob V> Nw2u!! 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 `h1>rP ~@iYP/=/Q Table 1. AZ眼睛模型的定义 '_xa>T} 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. #YLI"/Kn ;{g>Z| 光源 zM'2opiUY Zb~G&.
2g 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 x
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J5\2`U_FZ vu/P"?F 图1. 光源和提示信息使用 hHsO?([99 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 (m=F vn96o]n 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 6^nxw>- 0"`|f0}c 图2. 字母F光源的设定方法光 4[K6 ZDBU ;3sJ7%`v 图3. 字母F在视网膜上位置点列图 L$f:D2Ei 视网膜的散射 TK%MVL TK [JVUa2Sm 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。 Il<ezD{ =]sM,E,n /f,*| 图4. 视网膜朗伯散射设定 X(K5>L> 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。 0 oHnam Y;q['h qg8T}y> 图5. 视网膜重点采样规格设定 1=Q3WMT 脚本 0bR})}a+Yg &0euNHH;sL 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:
<:`x> _ ixo?o]Xb` 图6. 用户对话框的创建与编辑 I~7eu&QZ 图7. 用户对话框编辑器 k+Ay^i}s. 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。 >)iCKx 余下的脚本计算与屈光度有关的所有参数。 dn=g!= `T$CUlt6 分析 GvD{ I; N>+L?C 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 wqf^n-Ze e/ V8lo 图7. 字母F在视网膜上颜色分析 -8, lXrH 脚本代码 {K+]^M 5TcirVO82 Option Explicit 'Remove this to enable non-dimensioned variables to be used. wLH[rwPr dK?vg@|' Dim entity As T_ENTITY q|ww fPez7 Dim op As T_OPERATION G+f@m, Dim mat As T_MODELMATERIAL qi-!iT(fe Dim A As Double ,;-55|o\V Dim pupilDiam As Double 9\W }p\c Dim eID As Long l+i9)Fc<i Dim parID As Long {afR?3GK Dim count As Integer 0p'=Vel{} Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double L&SlUXyt.c Dim tlens As Double, nlens As Double L;k9}HWpP Dim curv As Double, conic As Double ?3:xR_VWZu Dim ok As Long -+=+W gdyP,zMD7 Sub Main /I3>u fu?Y'Qet '用户输入对话框 &B5@\Hd; Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9hIcnPu TextBox 220,21,40,21,.TextBox1 'default: 0 `l8^n0- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,V2,FoJ 9 OKButton 40,91,90,21 rZv5>aEI CancelButton 190,91,90,21 !FVXNl Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 m;d#*}n\p TextBox 220,49,40,21,.TextBox2 'default: 4 []rg'9B2b End Dialog F2$Z4%x# Dim dlg As UserDialog Ad:)5R o
tMWsgK.B ok = Dialog (dlg) Q+UqLass -h<Rby If ok=0 Then 'cancel button was pressed 2qD80W<1 Print "Execution cancelled." PI0[ End
_A %8oYS End If 4^mpQ.]lO vg5;F[e 'Assign accommodation and pupil diameter & use defaults if field left empty A12 #v, If dlg.TextBox1 = "" Then GCTf/V\# A = 0 'Default accommodation v&GBu Else |tU4(hC A = CDbl(dlg.TextBox1) HXTZ`'Rv End If 7#BpGQJQ 0 oFRcU If dlg.TextBox2 = "" Then \Q+<G-Kb. pupilDiam = 4 'Default pupil diameter D20n'>ddg Else <ZV !fn pupilDiam = CDbl(dlg.TextBox2) P]4C/UDS-~ End If P+Ta|- nRmZu\(Ow| Print " " OBCRZ Print "Accommodation = " & A & " Diopters" v~N8H+!d Print "Pupil Diameter = " & pupilDiam & " mm" M#Vl{ b `
qqUuFMM ' Calculate new parameters with accommodation k]=Yi; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness @,RrAL}| 'K=n}}&: Rant = 12.0 - 0.4*A 'Radius of anterior lens OJUH".o CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens \i-HECc"U G#&R/Tc5N Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?>V4pgGCE CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Ih]'OaE Jm|eZDp tlens = 3.767 + 0.04*A 'Lens thickness 8Ilg[Drj* }-:s9Lt nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction -$#' u[_~ !y 'Adjust parameters to account for accommodation
9I:H=5c {[
j+y '************************************************************************* >900O4 'Aqueous thickness (Position of Lens) )/u?_)b4" '************************************************************************* *t'qn eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZlHN-!OZp GetCustomElement eID, entity
p2;-*D T=|oZ parID = FindFullName( "Geometry.Arizona Eye" ) fD#VI e5_:15%R\ ' Delete any shift(s) in z p-H q\DP count = 0 _N 5$>2 While GetOperationCount(eID)>count !Qu)JR GetOperation eID, count, op QQ4
&,d If op.Type="ShiftZ" Then C< GS._V& DeleteOperation eID,count e'I13)
count=count-1 opK=Z End If +j._NRXRH count=count+1 Q
Fv"!Ql Wend 1'dL8Y z}vgp\cuT 'Set new shift in UC)-Fd op.Type = "ShiftZ" iol.RszlZ| op.val1 = taq kETu@la} op.parent = parID 0^VA,QkQ\ AddOperation eID, op $0C1';=^} Print "Set aqueous humor thickness = " & taq-0.55 <!#6c :(Q ^[{\ZX '************************************************************************* /`YHPeXu 'Radius and conic constant of anterior lens ^1rw\Zp '************************************************************************* >qj Q;z[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Zk*/~f|\ GetConic eID, entity, curv, conic IG?044Y Re3vW re SetConic eID, entity, 1/Rant, CCant '"{ IV Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant tkBp?Wl ^Jb=&u$ '************************************************************************* d^"<Tz! 'Radius and conic constant of posterior lens iq> PN:mr '************************************************************************* z\Vu`Yz eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) tH0=ysf GetConic eID, entity, curv, conic "oX@Z^ 9*gD;) ! SetConic eID, entity, 1/Rpost, CCpost aZGX`;3 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost &u-H/CU% okx~F9 '************************************************************************* <4,n6$E 'Lens thickness (Position of posterior lens surface) {FO>^~>l '************************************************************************* iV5x-G` \hpD parID = FindFullName( "Geometry.Arizona Eye.Lens" ) nmlQ-V- \'I->O] ' Delete any z-shift(s) lg_X|yhL count = 0 tSK{Abw1B While GetOperationCount(eID)>count =vxiqRm GetOperation eID, count, op IP'gN-#i If op.Type="ShiftZ" Then ", b}-B DeleteOperation eID,count Fj<#*2{]B count=count-1 [m7^Euury End If f)x^s$H count=count+1 *rPUVhD_ Wend 'ojI_%9< 1df}gG 'Set new z-shift :*V1jp+ op.Type = "ShiftZ" t0XM#9L op.val1 = tlens 2fp\s5%J} op.parent = parID y#HDJ=2 AddOperation eID, op V3O<l}ak Print "Set lens thickness = " & tlens sr!m d&n&_> '************************************************************************* b_xn80O
'Lens index of refraction Vt-D8J\A
0 '************************************************************************* )En*5-1 eID = FindMaterial( "Lens" ) YNCQPN\v`1 GetModelMaterial eID, mat 5tMp@$F\{[ .Cfi/ mat.Nd = nlens 6]#pPk8[Z SetModelMaterial eID, mat >]?!c5= Print "Set lens index of refraction = " & nlens T0xU} N:Yjz^Jt '************************************************************************* M&Aeh8>uX 'Pupil diameter yrO\\No#H '************************************************************************* '1]Iu@? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) fI@4 v\ =ja(;uC 'Adjust pupil diameter (trimming volume inner hole) Id3i qAL J8[N!qDCj SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" XPnN"Y"y 4%/iu)nx ' Adjust pupil location to just in front of the lens /*DC`,q parID = FindFullName( "Geometry.Arizona Eye" ) Tl9KL%9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q1QrtJFPG count = 0 K@u\^6419 While GetOperationCount(eID)>count dx{ZG'@aH GetOperation eID, count, op :=u Ku'~ If op.Type="ShiftZ" Then Qzbelt@Wx
DeleteOperation eID,count KTX;x2r count=count-1 >(Mu9ie*` End If )*_4=-8H count=count+1 ).HYW _Yih Wend T\\Q!pY op.Type = "ShiftZ" 3#7D
g't op.val1 = taq-0.01 X!r9 op.parent = parID Tdvw7I-q AddOperation eID, op G%N3h'zDi e>W}3H5w0 Print "Set pupil diameter = " & pupilDiam u\gPx4]4c n DLr17 'Update AZ Eye subassembly Description =bm<>h7.) eID = FindFullName( "Geometry.Arizona Eye" ) }{<@wE%s GetEntity eID, entity alM
^
X entity.Description = "Accommodation = " & A & "D" $agd9z,&m SetEntity eID, entity -s
Iji)t yeQ6\yi Update ptXCM[Z+ Print "DONE!" yj!4L&A S`ms[^-q* End Sub #SiOx/ 'Dl31w%: 如果屈光度是4,光瞳直径是4,则会输出如下数据: $7%e|0jC xf/
SUO
F Accommodation = 4 Diopters PS ,@ \ Pupil Diameter = 4 mm )LE SdX Set aqueous humor thickness = 2.81 !o
A,^4(
Set anterior lens radius = 10.4 and conic constant = -2.375869 P)he3 Set posterior lens radius = -4.424557 and conic constant = -3.081019 tjw4.L<r Set lens thickness = 3.927 G?\\k[#,& Set lens index of refraction = 1.42672 F)x^AJie Set pupil diameter = 4 bL>J0LWQ DONE! =1' / ? 8t3,}}TJ [43:E*\$ QQ:2987619807 >q{E9.~b
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