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简介 ysl#Rwt/2 '}B"071)< 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。 kWy@wPqms 9c }qVf-i 模型 `wU['{= a?8)47) 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。 ,d&3IhYhD )pT5"{ Table 1. AZ眼睛模型的定义 WBkx!{\z 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. (Z[c7 t u{~:Z( 光源 zUZET'Bm9 CSq|R-@<U 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。 QjG/H0*mP A9u>bWIE7 r
jxkgd 图1. 光源和提示信息使用 R8eBIJ/@_ 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。 )T^wc: _z{9V7n4 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。 d;wq@e <eS/-W%n6 图2. 字母F光源的设定方法光 /j4G} F;h^o !W7r 图3. 字母F在视网膜上位置点列图 (w5cp!qW9J 视网膜的散射 >~Tn%u< 5(hv|t/a 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。 yRl wy${EY^h S-Vj$asv! 图4. 视网膜朗伯散射设定 l&e$:=;8 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 92A9gY .Y?]r6CC/ ,+6u6 图5. 视网膜重点采样规格设定 alHA&YC{K 脚本 -T{2R:\{ j>:N0:
内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: K<`Z@f3'w ~yw]<{ ? 图6. 用户对话框的创建与编辑 z},\1^[ 图7. 用户对话框编辑器 hhZ%{lqL 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ) 5$?e 余下的脚本计算与屈光度有关的所有参数。 oQu>Qr{Zp ,*d8T7T 分析 L3xN#W;m7 YW/V}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。 -)')PV_+ /_{ZWLi( 图7. 字母F在视网膜上颜色分析 !bYVLFp=\_ 脚本代码 tp7$t# 4m91XD Option Explicit 'Remove this to enable non-dimensioned variables to be used. 3e1-w$z&S j=M%*`@ Dim entity As T_ENTITY <4vCx Dim op As T_OPERATION HB'9&
Dim mat As T_MODELMATERIAL DgW@v[#BK= Dim A As Double gH'hA' Dim pupilDiam As Double [R%*C9Y d Dim eID As Long !3k-' ),z& Dim parID As Long ``:[Jr& Dim count As Integer K|-m6!C!7 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]k7%p>c=B Dim tlens As Double, nlens As Double U), HrI>; Dim curv As Double, conic As Double M80Q6K Dim ok As Long WH1" HO 6LGl]jHf Sub Main M57<e`m sRT H_]c '用户输入对话框 9cP{u$ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 `P !idg* TextBox 220,21,40,21,.TextBox1 'default: 0 *9kg\# Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 O)VcW/ OKButton 40,91,90,21 O$m &!J CancelButton 190,91,90,21 xi "3NF%= Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Kd+E]$F_OH TextBox 220,49,40,21,.TextBox2 'default: 4 sfn^R+x4,9 End Dialog ~B"HI+:\L Dim dlg As UserDialog np6G~0Y` 8uLS7\,$z ok = Dialog (dlg) mR@d4(:J? r2.w4RMFua If ok=0 Then 'cancel button was pressed !0Nf`iCQ( Print "Execution cancelled." (ub(0 h0j End &Y=~j?~Xm End If uE9,N$\L_ ^?""'1iuQx 'Assign accommodation and pupil diameter & use defaults if field left empty 0'pB7^y If dlg.TextBox1 = "" Then a_5s'Dh A = 0 'Default accommodation ?i#x13 Else /Z^a,%1 A = CDbl(dlg.TextBox1) L@AFt)U End If l_:P| bRm;d_9zC If dlg.TextBox2 = "" Then r.#r!.6 q pupilDiam = 4 'Default pupil diameter *.>@ Else -;_"Y]# pupilDiam = CDbl(dlg.TextBox2) ;2`6eyr End If bs~P h>GbJ/^ Print " " ,IboPh&Q78 Print "Accommodation = " & A & " Diopters" IMqe( Print "Pupil Diameter = " & pupilDiam & " mm" /}U)|6-B k"DZ"JC ' Calculate new parameters with accommodation #9]2Uixq[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness =&UE67eK, &>+T*-' Rant = 12.0 - 0.4*A 'Radius of anterior lens [=jZP,b&), CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens eu$VKLY* N^[
F+y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ]i`Q+q[ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens TCyev[( 95@u|#n tlens = 3.767 + 0.04*A 'Lens thickness '{
=F/q T=42]h nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction =Vs?=|r `f~bnL 'Adjust parameters to account for accommodation Oz-/0;1n }WC[<AqI '************************************************************************* *'8q?R?7g 'Aqueous thickness (Position of Lens) &57~i=A
3 '************************************************************************* GZrN,M eID = FindFullName( "Geometry.Arizona Eye.Lens" ) \X*y~)+K` GetCustomElement eID, entity }9\6!GY0 "M
iJM+, parID = FindFullName( "Geometry.Arizona Eye" ) w@,p` \D z? h ' Delete any shift(s) in z aanS^t0 count = 0 QlMLWi While GetOperationCount(eID)>count fG>3gS6& GetOperation eID, count, op 8TB|Y If op.Type="ShiftZ" Then J{\U w].|0 DeleteOperation eID,count GV1Ol^ count=count-1 )GG9[%H! End If N80ogio_Tk count=count+1 )YEAk@h@ Wend +:jonN9d ya~;Of5 'Set new shift in v4|TQ8!wR op.Type = "ShiftZ" I[K4/91 op.val1 = taq au50%sA~
op.parent = parID v^o`+~i AddOperation eID, op fWEQ vQ Print "Set aqueous humor thickness = " & taq-0.55 %zGv+H? 1ds4C:M+< '************************************************************************* l59\Lo: 'Radius and conic constant of anterior lens AeEdqX) '************************************************************************* (,o@/ -o eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) JGvhw,g GetConic eID, entity, curv, conic d]sqj\Q57 .gC.T`/m SetConic eID, entity, 1/Rant, CCant L)U*dY Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant GP4!t~"1 k6(</uRj '************************************************************************* dYD;Z<l 'Radius and conic constant of posterior lens T$u'+*
Xx '************************************************************************* dI%jR&.e; eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ; ,sNRES3 GetConic eID, entity, curv, conic n5"oXpcIx +zch e SetConic eID, entity, 1/Rpost, CCpost %JSRC<,a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost H:hM(m0?q ] \|2= '************************************************************************* n7;jME/! 'Lens thickness (Position of posterior lens surface) l9|K,YVW '************************************************************************* {~9HJDcM ^ICSh8C parID = FindFullName( "Geometry.Arizona Eye.Lens" ) O0'|\:my lFtEQ '} ' Delete any z-shift(s) !$1qnsz count = 0 AC
<2.i_ While GetOperationCount(eID)>count QpQ 2hNf GetOperation eID, count, op +j F|8 If op.Type="ShiftZ" Then P,m+^, DeleteOperation eID,count B6&[_cht count=count-1 ?F]P=S:x End If z6J12tu count=count+1 6 L4\UTr Wend XZ.D<T" oh$"?N7n1 'Set new z-shift lq53
xT op.Type = "ShiftZ" `.JW_F)1 op.val1 = tlens fgL"\d} op.parent = parID -E6av|c,F AddOperation eID, op >H;m[ Print "Set lens thickness = " & tlens 46)[F0,$r -6-rXD '************************************************************************* ) q'D9x9 'Lens index of refraction nHbi{,3 '************************************************************************* wxK71OH eID = FindMaterial( "Lens" ) %Bm{ctf#) GetModelMaterial eID, mat +-;v+{ .?g=mh79( mat.Nd = nlens lU
Zj SetModelMaterial eID, mat NVkYm+J# Print "Set lens index of refraction = " & nlens ZMMx)}hS S_Nm?;P '************************************************************************* cu?6\@cD 'Pupil diameter }*9F `=%F '************************************************************************* rU9")4sQ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Wx3DWY; dkEbP*yXg 'Adjust pupil diameter (trimming volume inner hole) <`Fl Igo 8g{Mv#b% SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" cu5}( ']2d^'TH ' Adjust pupil location to just in front of the lens *^] parID = FindFullName( "Geometry.Arizona Eye" ) 3v3cK1K@oE eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Y{e,I-"{ count = 0 y=\&z&3$ While GetOperationCount(eID)>count 9HN&M*} GetOperation eID, count, op 2l V`UIa If op.Type="ShiftZ" Then @+M1M2@Xz DeleteOperation eID,count ]6v7iuvI count=count-1 :n~Mg{j3 End If Z-CA9&4Uh count=count+1 3`SH-"{j% Wend /o$6"~t op.Type = "ShiftZ" 8Wtr,%82 op.val1 = taq-0.01 /J-.K*xKt op.parent = parID +ah4 K(+3 AddOperation eID, op
l8+1{6xP 7`L]aRS[ Print "Set pupil diameter = " & pupilDiam @~$=96^ 0[
"CP:u 'Update AZ Eye subassembly Description > (n/ eID = FindFullName( "Geometry.Arizona Eye" ) z< |