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简介 )<f4F!?,A X`(fJ', 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。 4T TrHs O#k eoC4 模型 gBO, sPMICIv| 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。 cMrO@=b; qg/FI#r Table 1. AZ眼睛模型的定义 AmZW=n2^ 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. lCgzQZ po(pi| 光源 1G6 \}El95 VJP # 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。 |2=@8_am w59q* 2 I4|"Ztw 图1. 光源和提示信息使用 73B[|J* 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。 6<9}>Wkf ^s#+`Y05/ 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。 5NC77}^. }.pqV
X{d 图2. 字母F光源的设定方法光 F!phTu NJSbS<O 图3. 字母F在视网膜上位置点列图 &Z3%UOY 视网膜的散射 4x<H=CJC q{_ f" 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。 0y t36Du X- X`Z`o 5JEOLPS 图4. 视网膜朗伯散射设定 s)fahc(@E 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。 JS/ChoU 4x}U+1B Lq$ig8V:O7 图5. 视网膜重点采样规格设定 Uf|uFGb 脚本 ]R>NmjAI >tPf.xI|l 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: vQp'bRR :?j=MV 图6. 用户对话框的创建与编辑 U?d
I 图7. 用户对话框编辑器 QVJpX;u 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 NMfHrYHbh 余下的脚本计算与屈光度有关的所有参数。 J<0d"' A'rd1"K 分析 kI9I{ &J& Rnoz[1y?0 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 !H@HgJ
- V9SL96'[I 图7. 字母F在视网膜上颜色分析 ';Q8x?BS 脚本代码 +ue1+# =PQ4S2Q Option Explicit 'Remove this to enable non-dimensioned variables to be used. JV@G9PT 4`)r1D!U Dim entity As T_ENTITY maDWV&Db Dim op As T_OPERATION -.y1]4 Dim mat As T_MODELMATERIAL ,}]v7DD Dim A As Double DQ3L= Dim pupilDiam As Double vK@UK"m Dim eID As Long 9) ,|h Dim parID As Long Ynvf;qs Dim count As Integer NA/`LaJ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (&Jo.
< Dim tlens As Double, nlens As Double T*SLM"x Dim curv As Double, conic As Double W6}>iB Dim ok As Long 1<1+nGO r180vbN$ Sub Main 3N-pND0>p 4ryG_p52l '用户输入对话框 I<CrEL<5}~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %cg| KB"l TextBox 220,21,40,21,.TextBox1 'default: 0 PuREqa\_[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 :H3/+/x OKButton 40,91,90,21 A-:k4] {%P CancelButton 190,91,90,21 lq "X_M$ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ky"FL TextBox 220,49,40,21,.TextBox2 'default: 4 Z#Kf%x. End Dialog H7.l)' Dim dlg As UserDialog ohqThl aQ$sn<-l ok = Dialog (dlg) y]+5Y.Cw$ d,^ZH If ok=0 Then 'cancel button was pressed wEM=Tr/h Print "Execution cancelled." ]b;m~|9 End &K60n6q{aQ End If ,3 /o7 ' \Z3K ~ 'Assign accommodation and pupil diameter & use defaults if field left empty ObEz 0Rj If dlg.TextBox1 = "" Then *l{epum; A = 0 'Default accommodation 7`;f<QNo Else 0&|0l>wy. A = CDbl(dlg.TextBox1) j\IdB:}j End If 3~tu\TH6d }}$@Tij19[ If dlg.TextBox2 = "" Then FMeBsI9pL pupilDiam = 4 'Default pupil diameter jw=PeT| Else o zn&>k pupilDiam = CDbl(dlg.TextBox2) ceE]^X;p End If ltgtD k b{
x lW }S Print " " y`buY+5l Print "Accommodation = " & A & " Diopters" O7VEyQqf5 Print "Pupil Diameter = " & pupilDiam & " mm" ').)0; CUI+@|]% ' Calculate new parameters with accommodation .7^(~&5N taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness
#O}}pF $\h-F8|JMX Rant = 12.0 - 0.4*A 'Radius of anterior lens *PnO$q@` CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &Q~W{. zq{UkoME Rpost = -5.224557 + 0.2*A 'Radius of posterior lens WM
?a1j CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *"8Ls0! 9% T"W tlens = 3.767 + 0.04*A 'Lens thickness ( ~5M{Xh xt5/`C nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 1Y'4 g3T d6QrB"J` 'Adjust parameters to account for accommodation }psRgF }l7+W4~ '************************************************************************* >[|N%9\ 'Aqueous thickness (Position of Lens) '^_u5Y] '************************************************************************* NgGMsE\C} eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !="q"X/* GetCustomElement eID, entity -Y/i
h(I^ F,p0OL. parID = FindFullName( "Geometry.Arizona Eye" ) f(m,! "g"a-{8 ' Delete any shift(s) in z ~< bpdI0 count = 0 WZNq!K H While GetOperationCount(eID)>count Cr7Zi>sd<! GetOperation eID, count, op !Rl|o^Vw>{ If op.Type="ShiftZ" Then zg<-%r'$ DeleteOperation eID,count Q p>b count=count-1 wL?Up>fr End If ja_8n["z count=count+1 %Gh5!e:$SI Wend nL:&G'd ZiJF.(JS 'Set new shift in Kt_oo[ey{ op.Type = "ShiftZ" mgjJNzclL op.val1 = taq `sYFQ+D#O op.parent = parID sh$-}1 ; AddOperation eID, op `3rwqcxA Print "Set aqueous humor thickness = " & taq-0.55 ?N<My&E INi$-Y+ '************************************************************************* 2@zduL'do_ 'Radius and conic constant of anterior lens /]TNEU,K '************************************************************************* ]u_j6y! eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )
l!|c_ GetConic eID, entity, curv, conic !'jq.RawP ]5Uuz?:e SetConic eID, entity, 1/Rant, CCant LW]fme<V? Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant '9V/w[mI %PYl '************************************************************************* dM-cQo: 'Radius and conic constant of posterior lens |
;tH?E '************************************************************************* r<+C,h;aww eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) (gBKC]zvz3 GetConic eID, entity, curv, conic S:_Ms{S }GB~3
J SetConic eID, entity, 1/Rpost, CCpost ii)#(b:V Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost hC:'L9Y QQ3<)i '************************************************************************* Ap
dXsL 'Lens thickness (Position of posterior lens surface) n N<N~ '************************************************************************* q9/v\~m ff#7}9_mh parID = FindFullName( "Geometry.Arizona Eye.Lens" ) JY0aE ANhtz1Fl ' Delete any z-shift(s) ]nTeTW count = 0 h&<"jCjL While GetOperationCount(eID)>count MgJ6{xzz GetOperation eID, count, op U6]#RxH If op.Type="ShiftZ" Then NfgXOLthM DeleteOperation eID,count
r6m^~Wq!} count=count-1 F(G..XJQ End If &uNec(c count=count+1 T`bYidA Wend ?*fa5=ql <&5z0rDKWw 'Set new z-shift }T?X6LA$I8 op.Type = "ShiftZ" G$<(>"Yr~$ op.val1 = tlens mk>; 3m* op.parent = parID AjVC{\Ik AddOperation eID, op CY1WT Print "Set lens thickness = " & tlens E=s h^Q(A %6m/ve '************************************************************************* Mg2+H+C~: 'Lens index of refraction !m@cTB7i
'************************************************************************* 8 1,N92T5 eID = FindMaterial( "Lens" ) G]K1X"W? GetModelMaterial eID, mat iiPVqU% 9z7_D_yN2 mat.Nd = nlens jRK}H*uem SetModelMaterial eID, mat E'AR.! Print "Set lens index of refraction = " & nlens Y+?QHtZL 0j$\k|xFXZ '************************************************************************* w 3t,S3! 'Pupil diameter dAI^ P/y% '************************************************************************* }je<^]a eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) /UCBoQ$/] VE|:k:}; 'Adjust pupil diameter (trimming volume inner hole) noZbsI4 O=0p}{3l SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W{6QvQD8 "Lp.*o ' Adjust pupil location to just in front of the lens 'n &p5% parID = FindFullName( "Geometry.Arizona Eye" ) t>bzo6cj eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) iQG!-.aX count = 0 x93@[B*% While GetOperationCount(eID)>count VI!
\+A GetOperation eID, count, op P3oYk_oW If op.Type="ShiftZ" Then PQHztS" DeleteOperation eID,count GkAd"<B count=count-1
c1H.v^Y5 End If o|xf2k count=count+1 k[Em~>m Wend CmU@8-1 op.Type = "ShiftZ" K9<8FSn op.val1 = taq-0.01 9jal D
X op.parent = parID m<gdyY AddOperation eID, op *p{p.%Qs: 4 9qa Print "Set pupil diameter = " & pupilDiam l)u%`Hcn dwA"QVp{ 'Update AZ Eye subassembly Description zEQ]5>mG eID = FindFullName( "Geometry.Arizona Eye" ) ^twyy9VR GetEntity eID, entity 9ihg[k entity.Description = "Accommodation = " & A & "D" ql?w6qFs] SetEntity eID, entity <a R ;}B=g/C Update q!z?Tn#!jd Print "DONE!" 1mFH7A($ Ws2q/[\oz End Sub 0|GYt nd EjPR+m 如果屈光度是4,光瞳直径是4,则会输出如下数据: t>[QW`EeP (kL"*y/"p Accommodation = 4 Diopters <&eJIz= Pupil Diameter = 4 mm ~kc#"^sJ Set aqueous humor thickness = 2.81 !'$*Z( Set anterior lens radius = 10.4 and conic constant = -2.375869 =ejcP&-V/ Set posterior lens radius = -4.424557 and conic constant = -3.081019 H I9/ Set lens thickness = 3.927 cW3'057 Set lens index of refraction = 1.42672 XpAJP++ Set pupil diameter = 4 |!o C7!+0^ DONE! {4+/0\ MWwqon| B>u`%Ry& QQ:2987619807 -@AhJY.
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