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简介 cu?(P;mQi ;6txTcn`= 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。 &E
riskI %O=V4%"m\ 模型 s [F' h-y ]</4#?_ 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。 tZCe?n] }lTZq|;A Table 1. AZ眼睛模型的定义 |kNGpwpI 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. &qP-x98E? L(n/uQ
: 光源 {3(.c, q@ 9r+O!kF( 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。 [H%?jTQ LZC?383' <N=p:e,aN, 图1. 光源和提示信息使用 `h9)`* 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。 ]z=Vc#+! Rw\C0' 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。 %SO%{.}Zf ^%%5 图2. 字母F光源的设定方法光 5Vo}G %g ERRT_G? 图3. 字母F在视网膜上位置点列图 fTHun?Vn 视网膜的散射 _RL-6jw#o %;\G@q_p{ 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。 1H4Zgh
U C{hcK 1-K j"IM,= 图4. 视网膜朗伯散射设定 ^_KD&%M6 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。 l \^nC2 )ozcr^ _7#tgZyv 图5. 视网膜重点采样规格设定 Ryq"\Q>+ 脚本 LJ(n?/z% Lcs{OW, 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: y /:T(tk$ xOL)Pjo/m 图6. 用户对话框的创建与编辑 }S
vw,c 图7. 用户对话框编辑器 sjzXJ`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。 4,U}Am1Q 余下的脚本计算与屈光度有关的所有参数。 ljJz#+H2_ xeHb89GnoQ 分析 ytve1<.Ff GX@W"y 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Y
<Znv%M crNjI`%tw 图7. 字母F在视网膜上颜色分析 R@<_Hb;Aeb 脚本代码 D=~B7b: ?ng14e Option Explicit 'Remove this to enable non-dimensioned variables to be used. zd9]qo 7SK3 Dim entity As T_ENTITY Aa`MK$29F Dim op As T_OPERATION wt}%2x} x Dim mat As T_MODELMATERIAL l7'{OB
L Dim A As Double v:"m Dim pupilDiam As Double ~n/Aq* Dim eID As Long 3Rd`Ysp Dim parID As Long {M@@)27gW Dim count As Integer _;e!ZZLG Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^S#\O>GHP Dim tlens As Double, nlens As Double W{A
#]r l Dim curv As Double, conic As Double 8Z
dUPW\e Dim ok As Long }. xrJ52Tz >:jM}*dnL Sub Main z+k=|RMau `c' '用户输入对话框 -SvTg{Q{la Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Qsg/V] TextBox 220,21,40,21,.TextBox1 'default: 0 l`b1%0y Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \TbsoWX OKButton 40,91,90,21 }Kj Ju; CancelButton 190,91,90,21 .kc"E Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 P{S\pWZkk TextBox 220,49,40,21,.TextBox2 'default: 4 _~;&)cn,0 End Dialog AfRW=&xdT Dim dlg As UserDialog SE^j= 1 zLsb`)! ok = Dialog (dlg) x6^l6 N ^sifEgG *d If ok=0 Then 'cancel button was pressed =`Po<7D Print "Execution cancelled." C,A!tj7@ End ~+N76BX End If (*6m^ MzQ\rg_B7 'Assign accommodation and pupil diameter & use defaults if field left empty UvxSMD:A If dlg.TextBox1 = "" Then >ZT& `E A = 0 'Default accommodation u5w&X8x Else wG1y,u' A = CDbl(dlg.TextBox1) :)#hrFp End If 7qe7Fl3 keLR1qf If dlg.TextBox2 = "" Then e>l,(ql pupilDiam = 4 'Default pupil diameter E *F*nd]K Else AGOx@;w pupilDiam = CDbl(dlg.TextBox2) VF)uu[
f9 End If RU2c*q$^X XTJvV Print " " EgTFwEj Print "Accommodation = " & A & " Diopters" (1 CJw: Print "Pupil Diameter = " & pupilDiam & " mm" 8|O=/m ^] } h[>U ' Calculate new parameters with accommodation d%0+i/p taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness B?LXI3sQZ \6sqyWI
% Rant = 12.0 - 0.4*A 'Radius of anterior lens ><;Q@u5~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens NYBe"/}GS gQ37> Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 57~Uqt CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
(}Sr08m Sp:l;SGd tlens = 3.767 + 0.04*A 'Lens thickness -hWC_X:9jP TyF{tuF nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction V!4a*,Pz e,HMwD 'Adjust parameters to account for accommodation YOyp|%! o0ZIsrr
'************************************************************************* -ynBi;nH 'Aqueous thickness (Position of Lens) +\0T\;-Xe '************************************************************************* $r\"6e eID = FindFullName( "Geometry.Arizona Eye.Lens" ) G"T\=cQz GetCustomElement eID, entity B5ea(j DAdYg0efex parID = FindFullName( "Geometry.Arizona Eye" ) -DP*q3 DG(%-w8p" ' Delete any shift(s) in z X\Y}oa."A count = 0 i|]7(z#OyI While GetOperationCount(eID)>count s)zJT GetOperation eID, count, op \M{[f=6llh If op.Type="ShiftZ" Then OfTfNhpK DeleteOperation eID,count a?F!,=F count=count-1 tdep|sD End If zI^]esX!2_ count=count+1 )I`if(fG Wend [:h5} g #
S0V 'Set new shift in mT@nn, op.Type = "ShiftZ" ,:)`+v< op.val1 = taq C&+6>L@ op.parent = parID xCXQ<77 AddOperation eID, op +5!&E7bcd Print "Set aqueous humor thickness = " & taq-0.55 Qd]we$G _V2xA88 '************************************************************************* s$w;q\1z 'Radius and conic constant of anterior lens 3Bd X '************************************************************************* }rq9I"/L eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vDFGd-S GetConic eID, entity, curv, conic tF7hFL5f xwi\ SetConic eID, entity, 1/Rant, CCant :>+\17tx Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant iafE5b) aUc|V{Jp '************************************************************************* 8R/dA<Ww 'Radius and conic constant of posterior lens w_hHfZ9E '************************************************************************* u
8^{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /3!fA=+ GetConic eID, entity, curv, conic NX[4PKJ0C M f~}/h SetConic eID, entity, 1/Rpost, CCpost M}O}:1Par Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @n-r-Q j8Cho5C '************************************************************************* -0Cnp/Yj@ 'Lens thickness (Position of posterior lens surface) :o46rBs '************************************************************************* g%nl!dgS %}-?bHB1c parID = FindFullName( "Geometry.Arizona Eye.Lens" ) i/H+xrCK |'d>JT: ' Delete any z-shift(s) A\fb< count = 0 bq>_qpr While GetOperationCount(eID)>count -VxDNT}Tr GetOperation eID, count, op Djq!P If op.Type="ShiftZ" Then wE]K~y!` DeleteOperation eID,count TX=yPq count=count-1 A A^{B End If (wRgus count=count+1 \xv;sl$f Wend qpIC{'A. M_g?<rK 'Set new z-shift F$BbYf2i op.Type = "ShiftZ" >-8cU_m7s op.val1 = tlens aJ Z"D8C op.parent = parID #>lG7Ns|4 AddOperation eID, op rf~Y6U?7 Print "Set lens thickness = " & tlens Ae]sGU|?' El\%E"Tk% '************************************************************************* 7lV.[&aKW 'Lens index of refraction I$q]. B '************************************************************************* wX >*H eID = FindMaterial( "Lens" ) I9h ?;( GetModelMaterial eID, mat @,Gxk
h2ytS^ mat.Nd = nlens A, 3bC SetModelMaterial eID, mat ls@i".[ Print "Set lens index of refraction = " & nlens wO?{?+I`q A,sr[Pa@ '************************************************************************* Mmpfto%i 'Pupil diameter ~ab:/!Z '************************************************************************* vz.>~HBP eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) RuII!}* !*RqCS, 'Adjust pupil diameter (trimming volume inner hole) Cj~'Lhmv'T [!!Q,S"
SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Tg!m`9s+ '%q$`KDb ' Adjust pupil location to just in front of the lens /c
uLc^(X parID = FindFullName( "Geometry.Arizona Eye" ) :oJ=iB'Zc eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lOtDqb& count = 0 *G*
k6.9W! While GetOperationCount(eID)>count D$t k<{)oB GetOperation eID, count, op vZ.x{"n'~ If op.Type="ShiftZ" Then n{6G"t:^l DeleteOperation eID,count CrwwU7qKL count=count-1 BNL;Biyt7 End If E?_Z`*h count=count+1 |PC*=ykT3 Wend |yx6X{$k op.Type = "ShiftZ" xlQBe-Wg op.val1 = taq-0.01 YW7b)uYf op.parent = parID tQS5hwm* AddOperation eID, op Q%xC}||1s" z11O F Print "Set pupil diameter = " & pupilDiam O)[1x4U z CvKDlL 'Update AZ Eye subassembly Description B)0i:"q eID = FindFullName( "Geometry.Arizona Eye" ) 30SW\@ GetEntity eID, entity 4O35"1 entity.Description = "Accommodation = " & A & "D" yU9DSY\m{ SetEntity eID, entity ax (c# Mnscb Update HSc~*Q Print "DONE!" 9jw\s P@ thI
F& End Sub u:=7l B]Thn 如果屈光度是4,光瞳直径是4,则会输出如下数据: )c)vTZy 9b9$GyI Accommodation = 4 Diopters XCBL}pNkR Pupil Diameter = 4 mm "g1)f"pL Set aqueous humor thickness = 2.81 O6LS(5j2 Set anterior lens radius = 10.4 and conic constant = -2.375869 7eAX*Kgt<_ Set posterior lens radius = -4.424557 and conic constant = -3.081019 Fvbh\m
~ Set lens thickness = 3.927 v_DedVhe Set lens index of refraction = 1.42672 / G7vwC Set pupil diameter = 4 s+<Yg$) DONE! :51/29} 9po3m]|zy TA4!$7b$ QQ:2987619807 m)'=G%y
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