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简介 L{f0r!d| `sdbo](76 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。 Kv5 !cll5 FGMYpapc~ 模型 $KRpu<5i} O St~P^1 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。 $xcU*?=K 0a$hK9BH Table 1. AZ眼睛模型的定义 cpq0'x\ 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. XC[AJ!q` vO;:~ 光源 5zJ#d}%}S" d$D3iv^hyx 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 u"q!p5P%q L~M6ca" #=fd8}9 图1. 光源和提示信息使用 XKBQH( 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 t2-bw6U t-hN4WKH_A 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 U,2\ TBz g;nPF*( 图2. 字母F光源的设定方法光
ra\2BS)X xe1xP@e? 图3. 字母F在视网膜上位置点列图 @aoHz8K 视网膜的散射 q'[yYPDX5x ;Uj=rS`Q 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 4d]T` j98>Jr\ A$'rT|>se 图4. 视网膜朗伯散射设定 JA?P jo 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。 %$(*.o!+8 #w]:<R^ "j+=py` 图5. 视网膜重点采样规格设定 ~Ywt o 脚本 KA{Y*m^7 6n.C!,Zmn 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: DO=zxdTI! cM+s)4TPL 图6. 用户对话框的创建与编辑 ki_Py5 图7. 用户对话框编辑器 (AgM7H0 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。 |(1z ?Spbe 余下的脚本计算与屈光度有关的所有参数。 cd*F;h J3=^+/g 分析 `Df)wNN1 I'RhA\` 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 9Lxa?Y1 ~C],?X(zk 图7. 字母F在视网膜上颜色分析 ?IV3"\5 脚本代码 !xh.S#B faaFmEC Option Explicit 'Remove this to enable non-dimensioned variables to be used. w6l8RNRe fNaS?tV) Dim entity As T_ENTITY
^'c[HVJ Dim op As T_OPERATION '=vD!6=0@ Dim mat As T_MODELMATERIAL }Pe0zx.Ge Dim A As Double H23-%+*J Dim pupilDiam As Double Vg4N7i Dim eID As Long :<Y, f(c Dim parID As Long ^cF_z}Zi+ Dim count As Integer :Keek-E`e= Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2s@<k1EdPl Dim tlens As Double, nlens As Double U_c.Z{lC4 Dim curv As Double, conic As Double gG.b=DvzY Dim ok As Long ff9D{ $V5 $n?@zd@53 Sub Main R nf$
5rpTR '用户输入对话框 q\g|K3V) Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 @'EU\Y\l TextBox 220,21,40,21,.TextBox1 'default: 0 9n"D/NZB Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 m [FH> OKButton 40,91,90,21 xTW$9>@\m CancelButton 190,91,90,21 @bj3N Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 mmG+"g$| TextBox 220,49,40,21,.TextBox2 'default: 4 7Z/KXc[b End Dialog >;.'$- Dim dlg As UserDialog H`;q@ kMz^37IFMG ok = Dialog (dlg) C.
Hr ,9W|$2=F If ok=0 Then 'cancel button was pressed =FXZcP>h Print "Execution cancelled." SablF2doa End q}#4bB9 End If dk9'C hYMo5 ? 'Assign accommodation and pupil diameter & use defaults if field left empty #B3P3\ If dlg.TextBox1 = "" Then -Fe))Y'= A = 0 'Default accommodation I|*w?i* Else Re{vO&. A = CDbl(dlg.TextBox1) `r:n[N=Y& End If CD'.bFO^+T 7Rf${Wv0 If dlg.TextBox2 = "" Then ^b]h4z$ pupilDiam = 4 'Default pupil diameter c-L1 Bkw Else 6;g"`l51 pupilDiam = CDbl(dlg.TextBox2) Y9)uy 8c End If >M\3tB2C I65W^b4y Print " " ;x*_h Print "Accommodation = " & A & " Diopters" )B86 Print "Pupil Diameter = " & pupilDiam & " mm" m?]XNgT dMw0Aw,2]8 ' Calculate new parameters with accommodation J2M[aibV taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness IdsPB)k_ )DS|mM) Rant = 12.0 - 0.4*A 'Radius of anterior lens _s/5oRHA CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /G`'9cD "#d>3M_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?32gug\i'} CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens '`#sOH t%$> tlens = 3.767 + 0.04*A 'Lens thickness ]3xb Q1 59;p| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Tji G!W8 FA}dKE=c
Q 'Adjust parameters to account for accommodation zrqQcnx9(m ,iKL
68 '************************************************************************* 5\MCk "R! 'Aqueous thickness (Position of Lens) B8){ '************************************************************************* 038|>l-9[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 6ge,2[PU GetCustomElement eID, entity +>b~nK>M e5/f%4YX parID = FindFullName( "Geometry.Arizona Eye" ) ?/Bp8q( A
dNQS ' Delete any shift(s) in z 1 !N+hf count = 0 3mI(5~4A]? While GetOperationCount(eID)>count 9K]Li\ GetOperation eID, count, op f;AQw_{ If op.Type="ShiftZ" Then Ah5`Cnv DeleteOperation eID,count x3j)'`=15 count=count-1 TPjElBh End If cZB?_[Cp count=count+1 !6Sr*a*5 Wend xeo5) vS#Y,H:yAj 'Set new shift in LhN?j5XqM op.Type = "ShiftZ" ]_!5g3VQh op.val1 = taq z l?Gd4 op.parent = parID ,E8:!r)6 AddOperation eID, op gD}lDK6N Print "Set aqueous humor thickness = " & taq-0.55 [Dr' ?VUU[h8"v5 '************************************************************************* %b8ig1 'Radius and conic constant of anterior lens S$~T8_m^U '************************************************************************* :G3PdQb^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) t1Ty.F)r GetConic eID, entity, curv, conic ~s3X&!# hkS0 ae SetConic eID, entity, 1/Rant, CCant uX82q.u_y Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 52X[{ s7(NFX5 '************************************************************************* " pg5w 'Radius and conic constant of posterior lens 5&59IA%S '************************************************************************* E}?n^Zf eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) O52B GetConic eID, entity, curv, conic WC&V9Yk 5;WESk SetConic eID, entity, 1/Rpost, CCpost 2IfcdYG Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @c;XwU]2t l k~VvRq '************************************************************************* @477|LO 'Lens thickness (Position of posterior lens surface) QZwUv<* '************************************************************************* (,nQ7,2EX 5 [GdFd>{ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) vIq>QXb;d eELLnU{" ' Delete any z-shift(s) ]rNM3@bVy count = 0 o,r72>| While GetOperationCount(eID)>count WK2YHJ*$ GetOperation eID, count, op "SMRvi57T If op.Type="ShiftZ" Then rY?]p Mp DeleteOperation eID,count ()'yY^ count=count-1 CvOji1 End If 6Qc
*:(GE count=count+1 ~,^pya Wend scc+r Ew<
sK9[o 'Set new z-shift LZ=E op.Type = "ShiftZ" CMhl* dH op.val1 = tlens g5&ZXA op.parent = parID v[Mh[CyB AddOperation eID, op I K9plsd* Print "Set lens thickness = " & tlens h5)4Z^n rF^H\U:w '************************************************************************* "xI70c{ 'Lens index of refraction
O*SJx. '************************************************************************* 5'<J@3B eID = FindMaterial( "Lens" ) iv!; gMco GetModelMaterial eID, mat 7|@FN7]5NF po! [Nd&" mat.Nd = nlens QBYY1)6S, SetModelMaterial eID, mat `w8Ejm?n Print "Set lens index of refraction = " & nlens R+*-i+]Q#7 gB<1;_KW '************************************************************************* <)$e*HrI 'Pupil diameter q _INGCJ '************************************************************************* X :#}E7]j eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) <@S'vcO m@i](1*T| 'Adjust pupil diameter (trimming volume inner hole) `_iK`^(- aCRiW;+' SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" @?n~v^ cy64xR BB ' Adjust pupil location to just in front of the lens x%yzhIRR parID = FindFullName( "Geometry.Arizona Eye" ) K3*-lO:A9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) {1"kZL count = 0 l( WF While GetOperationCount(eID)>count ^/ff)'.J GetOperation eID, count, op :u,Ji9
u If op.Type="ShiftZ" Then 0 wjL=]X1e DeleteOperation eID,count LVaJyI@/> count=count-1 %$<v:eMAs End If .~a.mT count=count+1 ;S9
z@`a. Wend v t_lM op.Type = "ShiftZ" *kt|CXxAS8 op.val1 = taq-0.01 bXz*g`=; op.parent = parID oe*fgk/o9 AddOperation eID, op F Jp<J gXj3=N(l Print "Set pupil diameter = " & pupilDiam OI,F,4e ~}_S]^br 'Update AZ Eye subassembly Description I.gF38Mx eID = FindFullName( "Geometry.Arizona Eye" ) WR9-HPF GetEntity eID, entity Ou_2UT entity.Description = "Accommodation = " & A & "D" 3V]08 SetEntity eID, entity C';Dc4j rA|&G' Update 7*kTu0m Print "DONE!" ^U6VJ(58P *qJHoP; End Sub ,z01*Yx 3F8KF`* 如果屈光度是4,光瞳直径是4,则会输出如下数据: <Zo{D |hW Xb~i?T;f Accommodation = 4 Diopters Byh!Snoe Pupil Diameter = 4 mm ,*sKr)9) Set aqueous humor thickness = 2.81 \8)FVpS Set anterior lens radius = 10.4 and conic constant = -2.375869 B2:GGZ|jS Set posterior lens radius = -4.424557 and conic constant = -3.081019 eF(oHn, Set lens thickness = 3.927 uvRX{q4 Set lens index of refraction = 1.42672 k/M{2Po+ Set pupil diameter = 4 kZ0z]Y DONE! Ml,in49
KP`Pzx mYqLqezAA QQ:2987619807 VFK]{!C_
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