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简介 C4#'`8E ,d&~#W] 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。 li$(oA2 oypX.nye_ 模型 W5HC7o\4 j]M$>2; 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。 GwxfnCKi9 7:9WiN5b Table 1. AZ眼睛模型的定义 +*lSB%`aS 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. pN1W|Wv2 EX|Wd|aK 光源 {[NBTT9& mst-:F[h 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。 $:{uF# gM^ Hs7o, x_s9DkX 图1. 光源和提示信息使用 ,M5zhp$ 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。 :
v<|y F nH/V2>Lm 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。 cQA;Y!Q# Ro$l/lXl8t 图2. 字母F光源的设定方法光 u01x}Ff~6 qMmh2a& 图3. 字母F在视网膜上位置点列图 A)/_: 视网膜的散射 <x53b/ft ROW8YTYb 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 !%_}Rv!JT v0apEjT l)4KX{Rz{A 图4. 视网膜朗伯散射设定 z|<6y~5, 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 TMT65X! j_j~BXhIS -'*B%yy 图5. 视网膜重点采样规格设定 mXAX%M U 脚本 .Q>.|mu Nw/4z$].J 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: VK[^v; Cz#0Gh>1 图6. 用户对话框的创建与编辑 +j%!RS$ko 图7. 用户对话框编辑器 f)Z$,& 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。 OT+=H)/ 余下的脚本计算与屈光度有关的所有参数。 O>IY<]x>L ~*79rDs{ 分析 C-V,3}=*2 :54ik,l 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 )CD4k:bm Tu o`>ZA 图7. 字母F在视网膜上颜色分析 %-/[.DYt 脚本代码 x&@. [FJhO 0r*E$|zZ Option Explicit 'Remove this to enable non-dimensioned variables to be used. 64fa0j~<*M -r@fLkwg Dim entity As T_ENTITY b8r?Dd"T8 Dim op As T_OPERATION |D~mLs;& Dim mat As T_MODELMATERIAL bC{}&a Dim A As Double Ej~vp2 Dim pupilDiam As Double jAie[5 Dim eID As Long =\"88e;b2
Dim parID As Long 3"NO"+Q Dim count As Integer {E@Fk, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~:'tp28? Dim tlens As Double, nlens As Double ;wK; Dim curv As Double, conic As Double a\pOgIp Dim ok As Long <2"' R(4", opU=49b Sub Main ?x1sm"]p' ;h<(vc3@f '用户输入对话框 (~q.YJ' Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 LmWZ43Z"@ TextBox 220,21,40,21,.TextBox1 'default: 0 8Wqh 8$ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 O]3$$uI=QE OKButton 40,91,90,21 d,8L-pT$FM CancelButton 190,91,90,21 ZP~Mgz{f Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #s>AiD TextBox 220,49,40,21,.TextBox2 'default: 4 e=Ko4Ao2y End Dialog JZI)jIh Dim dlg As UserDialog
kw{dvE\K ~"|MwR!0 ok = Dialog (dlg) 6
<XQ'tM]N M15Ce)oB1( If ok=0 Then 'cancel button was pressed )O\w'|$G Print "Execution cancelled." MdXOH$ps End VRU"2mQ.P6 End If 17P5Dr& -:cBVu-m 'Assign accommodation and pupil diameter & use defaults if field left empty )Q= EmZbJz If dlg.TextBox1 = "" Then h K;9XJAf A = 0 'Default accommodation (+uM |a Else 0Xo>f"2<f A = CDbl(dlg.TextBox1) QTr)r;Tro End If kb3>q($ epN>;e z If dlg.TextBox2 = "" Then E+z),"QA pupilDiam = 4 'Default pupil diameter S!WG|75B Else vz6No%8X pupilDiam = CDbl(dlg.TextBox2) y_mTO4\C2 End If YYNh|
2 f euATL] Print " " dynkb901s Print "Accommodation = " & A & " Diopters" pPL)!=o! Print "Pupil Diameter = " & pupilDiam & " mm" mR,w~wP 1Hl-|n ' Calculate new parameters with accommodation f/xQy}4+~E taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gGZ-B< M>qqe! c* Rant = 12.0 - 0.4*A 'Radius of anterior lens mrmm@? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens B(|*u >0F)^W? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens K*R CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 90wGS_P04 j]HzI{7y tlens = 3.767 + 0.04*A 'Lens thickness r=6N ZoZ [~NJf3c" nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction izDfpr}s4 :;
z]:d 'Adjust parameters to account for accommodation qu\cU(H| >}T}^F '************************************************************************* e5AZU7%. 'Aqueous thickness (Position of Lens) G&Fe2&5!w '************************************************************************* e"#QUc( eID = FindFullName( "Geometry.Arizona Eye.Lens" ) p=!12t GetCustomElement eID, entity #| pn,/ Ztl?*zL parID = FindFullName( "Geometry.Arizona Eye" ) <-6f}wN KvjsibI/Y ' Delete any shift(s) in z zMke}2 count = 0 %1mIngW=g While GetOperationCount(eID)>count [][ze2+b GetOperation eID, count, op z:^(#G{ If op.Type="ShiftZ" Then uG7?:) pxv DeleteOperation eID,count C/?x`2' count=count-1 q nb#~=x^ End If Rp+Lu count=count+1 &=*sN` Wend u>ZH-nw O 8vkCmV 'Set new shift in ' !2NSv op.Type = "ShiftZ" redMlHM op.val1 = taq WA6reZ op.parent = parID `h%K8];<6f AddOperation eID, op d>gQgQ;g Print "Set aqueous humor thickness = " & taq-0.55 CJjT-(a ~9y/MR '************************************************************************* HTLS$o;Q 'Radius and conic constant of anterior lens >*MGF=.QG '************************************************************************* ."Kp6s `k eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) DHg)]FQ/ GetConic eID, entity, curv, conic ;V?3Hwl k4d;4D? SetConic eID, entity, 1/Rant, CCant wP7
E8' Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant aX,6y1 .sjv"D" '************************************************************************* 6d`qgEM3 'Radius and conic constant of posterior lens wRdN(`;v '************************************************************************* j[,XJ,5= eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) [Kg3:]2A GetConic eID, entity, curv, conic eZ]>;5 XU<XK9EA SetConic eID, entity, 1/Rpost, CCpost T[evh]koB Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !K-qoBqKM Co,?<v=Ll '************************************************************************* :N!s@6 'Lens thickness (Position of posterior lens surface) ZkWMo=vL '************************************************************************* p//mVH% 9?q ^yy parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 27i-B\r ? o&goiM ' Delete any z-shift(s) 4k9$'
k count = 0 HVdB*QEH While GetOperationCount(eID)>count 4B9D GetOperation eID, count, op PMi.)%++ If op.Type="ShiftZ" Then 7~r_nP_ DeleteOperation eID,count HzL~B# count=count-1 u+y3(0 End If s",G
w]8 count=count+1 nq,:UYNJ Wend Q;ZV`D/FA GTi=VSGqF 'Set new z-shift f9OY>|a9 op.Type = "ShiftZ" m70AWG op.val1 = tlens Z`f?7/"B op.parent = parID p' 6h9/ AddOperation eID, op ex#-,;T Print "Set lens thickness = " & tlens [wk1p-hf _R^ZXtypd '************************************************************************* +xAD;A4 'Lens index of refraction M+M ;@3 '************************************************************************* 62kA(F0e, eID = FindMaterial( "Lens" ) <I*N=;7 GetModelMaterial eID, mat f*:N*cC Ga+Cb2$ mat.Nd = nlens /3.;sS]B SetModelMaterial eID, mat GPizR|}h Print "Set lens index of refraction = " & nlens L8f_^
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[!%hE '************************************************************************* 03AQB;. 'Pupil diameter VeqB/QX '************************************************************************* mq}UUk@ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) r"7PSJ U\W$^r, 'Adjust pupil diameter (trimming volume inner hole) G0kF[8Am <Qr*!-Kc6 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;pS+S0U
G({5Lj gW ' Adjust pupil location to just in front of the lens m;nH
v parID = FindFullName( "Geometry.Arizona Eye" ) t\]kVo) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) W4qnXD1n count = 0 "$b{EYq6 While GetOperationCount(eID)>count I?nU+t; GetOperation eID, count, op EuA352x If op.Type="ShiftZ" Then 'K}2 m DeleteOperation eID,count _dECAk
&b count=count-1 z:N?T0b( End If <(~Wg{ count=count+1 +K8T%GAr Wend V3 T.EW op.Type = "ShiftZ" SmRFxqtN op.val1 = taq-0.01 t|9vb op.parent = parID \acGSW
.c AddOperation eID, op ks69Z|D Dw 5Ze Print "Set pupil diameter = " & pupilDiam S;/pm$?/ ?=1i:h 'Update AZ Eye subassembly Description OlptO60{ ] eID = FindFullName( "Geometry.Arizona Eye" ) qG2P?D R GetEntity eID, entity 9xK#(M entity.Description = "Accommodation = " & A & "D" 6(7dr?^eGT SetEntity eID, entity [z*1#lj S _mQj= Update +;*4.} Print "DONE!" Z^Wv(:Nr |Bv,*7i& End Sub
;5 1bDAi2 H 如果屈光度是4,光瞳直径是4,则会输出如下数据: 5Q:49S47 Kx BvL[/ Accommodation = 4 Diopters >I0 a$w Pupil Diameter = 4 mm *5 \'$;Rg Set aqueous humor thickness = 2.81 Qs?p)3qp Set anterior lens radius = 10.4 and conic constant = -2.375869 ({$rb- Set posterior lens radius = -4.424557 and conic constant = -3.081019 56u_viZ=8 Set lens thickness = 3.927 +.rE|)BPy Set lens index of refraction = 1.42672 (dy:d^ Set pupil diameter = 4 0bD\`Jiv, DONE! bYX.4(R }[PC
YnS A;6ew4 QQ:2987619807 C1qlB8(Wh>
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