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简介 />uE)R$ ;iQw2XhT 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。 >"z`))9 ?T,a(m<i{ 模型 D( y
c 3JD"* <zs 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。 yr* ~?\ W"\+jHF" Table 1. AZ眼睛模型的定义 zm_8{Rta} 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. A<(Fn_&W sQ&<cBs2 光源 y 5?kv-"c fo<nk|i 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。 |oQhtk8. uz:r'+v =>&~p\Aw 图1. 光源和提示信息使用 VMS3Q)Ul 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。 di]CYLf l\2"u M#7 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。 <e wcWr _`Y%Y6O1/ 图2. 字母F光源的设定方法光 bIzBY+P 5A%Uv* 图3. 字母F在视网膜上位置点列图 ;y)3/46S 视网膜的散射 : H]MMe F ^lau 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。 x]608I
T .4Mc4' BqavI&1= 图4. 视网膜朗伯散射设定 ^* CKx 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&}5Aba9 H> n;[ !<F5W<V 图5. 视网膜重点采样规格设定 dZddoz_ 脚本 ) bd`U 9)n3f^,Oj* 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: 9niffq)h vq\L9$WJ 图6. 用户对话框的创建与编辑 Wd7qpWItjQ 图7. 用户对话框编辑器 B- |C%~fe 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 e5w0}/yW/ 余下的脚本计算与屈光度有关的所有参数。 .$+,Y4q~( DweF8c 分析 ~|oB|> \ >#y*W< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 5!57<n cet|k! 图7. 字母F在视网膜上颜色分析 fF5\\_, 脚本代码 hn$jI5*` )/z+W[t Option Explicit 'Remove this to enable non-dimensioned variables to be used. #8%~ u+"N :#UA!|nV Dim entity As T_ENTITY L9l]0C37e Dim op As T_OPERATION Wi*HLP!lNC Dim mat As T_MODELMATERIAL 2Y;iqR Dim A As Double rT;_"y} Dim pupilDiam As Double D+h`Z]"| Dim eID As Long R#ya9GN{ Dim parID As Long \=(U tro Dim count As Integer bOr6"nn Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double @y|JIBBRc Dim tlens As Double, nlens As Double ?9~|K/ `l Dim curv As Double, conic As Double ir_X65l/2 Dim ok As Long Xa$tW%) &}0#(Fa` Sub Main D6'-c# +('=RyoT '用户输入对话框 g&/r =U Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )-i (%;,*e TextBox 220,21,40,21,.TextBox1 'default: 0 , lBHA+@ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 y)7;"3Q< OKButton 40,91,90,21 ciN*gwI) CancelButton 190,91,90,21 QD
0p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 R1/mzPG TextBox 220,49,40,21,.TextBox2 'default: 4 !A+jX7Nb End Dialog NH,4>mV$! Dim dlg As UserDialog C-(O*hK 3IoN. ok = Dialog (dlg) h3p~\%^ !6J+# If ok=0 Then 'cancel button was pressed uTmT'u:} Print "Execution cancelled." h~#.s*0.F End :|=Xh"l" End If *{=q:E$ D)eRk0iC 'Assign accommodation and pupil diameter & use defaults if field left empty }jL4F$wC If dlg.TextBox1 = "" Then wNl "y A = 0 'Default accommodation TEbE-h0)] Else g7K<"Z {M A = CDbl(dlg.TextBox1) D Z=OZ.v End If l YjPrA]TC |YrvY1d! If dlg.TextBox2 = "" Then %vU*4mH pupilDiam = 4 'Default pupil diameter 92^Dn`g Else *C(q{|f pupilDiam = CDbl(dlg.TextBox2) %z["TVH End If :Lq=)'d;6 mXUe/*r0T Print " " ,"T[#A~ Print "Accommodation = " & A & " Diopters" / KKA/ Print "Pupil Diameter = " & pupilDiam & " mm" C+-sf ]iaQD _'\ ' Calculate new parameters with accommodation =fI0q7]ndz taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness rmdG"s buxyZV@1 Rant = 12.0 - 0.4*A 'Radius of anterior lens O9:J
^g CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens z_:r&UP`" 5:l"* Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ,.,Y{CP CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens {G _|gs Jv D`RUh tlens = 3.767 + 0.04*A 'Lens thickness \6,Z<.I %&4\'lE nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction t\lx*_lr #s-li b 'Adjust parameters to account for accommodation kk/vgte-)e [Ny'vAHOj '************************************************************************* {ALOs^_- 'Aqueous thickness (Position of Lens) |bjLmGb '************************************************************************* w%f51Ex eID = FindFullName( "Geometry.Arizona Eye.Lens" ) oX[I4i%G GetCustomElement eID, entity #M8>)o c Bzr}+J parID = FindFullName( "Geometry.Arizona Eye" ) l78:. Ijs=4f ' Delete any shift(s) in z Jry643K>:; count = 0 9S)A6] While GetOperationCount(eID)>count _2Fa.gi GetOperation eID, count, op 90+Hv:wF If op.Type="ShiftZ" Then %l)~C%T DeleteOperation eID,count ^Kh>La:>O count=count-1 Ji:0J},m End If SwmX_F#_ count=count+1 aB4L$M8x Wend Py#iC#g~ < nyk:E 'Set new shift in H3qL&xL op.Type = "ShiftZ" iTeFy-Ct op.val1 = taq x:IY6 l op.parent = parID ZQrgYeQl" AddOperation eID, op ?a-}1A{
Print "Set aqueous humor thickness = " & taq-0.55 +4Lj}8, zy[|4Q(? '************************************************************************* s&qr2'F+z 'Radius and conic constant of anterior lens ,5Tw5<S '************************************************************************* }ilX
2s?> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) r#K" d GetConic eID, entity, curv, conic {X>U`0P 69/qH_Y SetConic eID, entity, 1/Rant, CCant .@]M'S^1 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant c)=UX_S! .;~K*GC '************************************************************************* dLTA21b# 'Radius and conic constant of posterior lens G3t
4$3| '************************************************************************* @7<m.?A! eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) g].hL GetConic eID, entity, curv, conic AkRZUj\ Voc&T+A m SetConic eID, entity, 1/Rpost, CCpost wenJ (0L| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost .[#bOp* {v}jV{'^um '************************************************************************* ^o*$+DbC 'Lens thickness (Position of posterior lens surface) 64qQ:D7C '************************************************************************* 4WV)&50 $Uxg$p qO parID = FindFullName( "Geometry.Arizona Eye.Lens" ) hTbot^/ k~b8=$ ' Delete any z-shift(s) o M#S.f? count = 0
g ed k While GetOperationCount(eID)>count E|Z7art GetOperation eID, count, op [u2)kH$ If op.Type="ShiftZ" Then },LW@Z} DeleteOperation eID,count }\/f~?tEh count=count-1 *npe]cC End If 7%4@* count=count+1 /I&b5Vp Wend r#[YBaCZJ @3b|jJyf 'Set new z-shift +,$"%C op.Type = "ShiftZ" }~28UXb23 op.val1 = tlens >#\&%0OZw op.parent = parID Af"vSL AddOperation eID, op kpN'H_ . Print "Set lens thickness = " & tlens ; i><03 >h
m<$3 '************************************************************************* ba 'Lens index of refraction VCvqiHn '************************************************************************* n`hes_{,g eID = FindMaterial( "Lens" ) (_lc< Bj GetModelMaterial eID, mat kY6))9 O e?D,=A4mV" mat.Nd = nlens =`]yq;(C7j SetModelMaterial eID, mat $wn"+wX Print "Set lens index of refraction = " & nlens Zb7:qe<UN jTx,5s- '************************************************************************* D:HeP:.I 'Pupil diameter 'HV}Tr '************************************************************************* 1xo<V5 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _9Ig`?<>I G#4cWn' 'Adjust pupil diameter (trimming volume inner hole) Yg#)@L 1v&!`^G99j SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" U)p P^:| ?D6rFUs9; ' Adjust pupil location to just in front of the lens I
-obfyije parID = FindFullName( "Geometry.Arizona Eye" ) E
2DTE eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -3r&O: count = 0 +:d))r=n While GetOperationCount(eID)>count ;D[b25 GetOperation eID, count, op !m1pL0 If op.Type="ShiftZ" Then 4>^ %_Xj[ DeleteOperation eID,count @]HV:7<q count=count-1 ";e0-t6: End If viBf". count=count+1 *R>I%?]V3 Wend qD4e] 5 op.Type = "ShiftZ" 8X]j;Rb op.val1 = taq-0.01 I=^%l7 op.parent = parID f(?`PD[ AddOperation eID, op GKPqBi[rO \o@b5z]e Print "Set pupil diameter = " & pupilDiam ,9"</\]` ^ :Q |,oy 'Update AZ Eye subassembly Description DRVvW6s eID = FindFullName( "Geometry.Arizona Eye" ) ,Ql3RO, GetEntity eID, entity Y^S0K'N entity.Description = "Accommodation = " & A & "D" eeb8v:4 SetEntity eID, entity *(d^k; tO?*x/XC{ Update m=fmf( Print "DONE!" S-yd-MtQp ld[]f*RuW End Sub $YaL3n =W ! m` 如果屈光度是4,光瞳直径是4,则会输出如下数据: ASy7")5 j&m<=-q Accommodation = 4 Diopters m$hSL4N Pupil Diameter = 4 mm M7,|+W/RK Set aqueous humor thickness = 2.81 1xq1te) Set anterior lens radius = 10.4 and conic constant = -2.375869 ZLKS4 Set posterior lens radius = -4.424557 and conic constant = -3.081019 wQnr*kyza Set lens thickness = 3.927 =4 JVUu~Z Set lens index of refraction = 1.42672 ?67j+) Set pupil diameter = 4 %v~j10e DONE! a/^YgrC\T
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