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简介 $Xo_C_:B D\GP+Ota 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。 )e:u 6] y>m=A41:g 模型 DadlCEZv #%tN2cFDN 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。 itIzs99j a?9Ka!O4s Table 1. AZ眼睛模型的定义 ur`:wR] 2? 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. >sE{c>R% mH} 1Zy 光源 (%EhkTb h3Z0NJ=xM 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。 <P1sK/IZb G8oOFBQD k@ZmI^ 图1. 光源和提示信息使用 $nbZ+~49 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 }<kpvd+ps= Z:}d\~`x$% 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。 7w{>bYP @RF!p 图2. 字母F光源的设定方法光 s|Acv4| V sIh,@b 图3. 字母F在视网膜上位置点列图 g&V1<n\b+ 视网膜的散射 eu|cQ^> ]\<^rEU 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。 M7;P)da !'^gqaF+ }-R|f_2Hp 图4. 视网膜朗伯散射设定 H-o>|C 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。 Yl#r9TM vHPp$lql H:BWv08~5 图5. 视网膜重点采样规格设定 }l>0m 脚本 =F5(k(Ds (r?41?5K 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Fh4kd>1D s`G3SE 图6. 用户对话框的创建与编辑 Zg/ra1n 图7. 用户对话框编辑器 0x\bDWZ_ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 |%R}!O<.c 余下的脚本计算与屈光度有关的所有参数。 kN*,3)T;} Wo@0yF@ 分析 A~6:eappH {WJ+6!v 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~P85Or 7 Ld5 图7. 字母F在视网膜上颜色分析 /MB3w m 脚本代码 "$*&bC#dE |Psi?'4 Option Explicit 'Remove this to enable non-dimensioned variables to be used. $ Aw"?&d" emo@&6* Dim entity As T_ENTITY +KV`+zic+ Dim op As T_OPERATION {f\/2k3 Dim mat As T_MODELMATERIAL ?[}r& f Dim A As Double <T[wZ[l Dim pupilDiam As Double $]eITyC`P Dim eID As Long B6&;nU>; Dim parID As Long B`xrdtW Dim count As Integer ^-9g_5 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ruG5~dm> Dim tlens As Double, nlens As Double \ s8j* Dim curv As Double, conic As Double tk@
T-; Dim ok As Long _h2axXFhT P\B ]><!ep Sub Main j>(O1z7 P5Y:c@u2 '用户输入对话框 0HA` Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |^^'GZ%a TextBox 220,21,40,21,.TextBox1 'default: 0 TzT(aWP" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 5J^S-K^r OKButton 40,91,90,21 <
`r+ZyM CancelButton 190,91,90,21 d|!FI/ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N,9W18
@ TextBox 220,49,40,21,.TextBox2 'default: 4 Fy^=LrH=D End Dialog {2EIvKu3: Dim dlg As UserDialog 2 5DXJb^: n
7Mab ok = Dialog (dlg) ALVHKL2 J3OxM--8" If ok=0 Then 'cancel button was pressed h\#\hx Print "Execution cancelled." >YwvM=b"V End @kCFc} End If %l4LX~-: \&K{v#g~ 'Assign accommodation and pupil diameter & use defaults if field left empty ?6;9r[ p If dlg.TextBox1 = "" Then w\o?p.drp= A = 0 'Default accommodation +{(f@,&~{ Else F<K;tt A = CDbl(dlg.TextBox1) lxIoP End If zq1je2DB 0x&-/qce6W If dlg.TextBox2 = "" Then ,Jm2|WKH pupilDiam = 4 'Default pupil diameter \$.8iTr@ Else OPVF)@"ptM pupilDiam = CDbl(dlg.TextBox2) {t<E*5N]a End If By&T59 }^!8I7J. Print " " F xek# Print "Accommodation = " & A & " Diopters" e
:(7$jo Print "Pupil Diameter = " & pupilDiam & " mm" pZo:\n5o 3q'["SS ' Calculate new parameters with accommodation lyY\P6
X taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 77KB-l2 2a=3->D& Rant = 12.0 - 0.4*A 'Radius of anterior lens 00jW s@K CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens GtR!a BbU%p Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ,sw|OYb CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens SlU?,)J} GM_~2Er] tlens = 3.767 + 0.04*A 'Lens thickness sIUhk7Cd8 -|K^!G nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ]Sj<1tx7f 63'Rw'g^|2 'Adjust parameters to account for accommodation bSa%?laS cQg:yoF '************************************************************************* 6pJFrWe{ 'Aqueous thickness (Position of Lens) |2<y '************************************************************************* +D7>$&BD eID = FindFullName( "Geometry.Arizona Eye.Lens" ) |/^ KFY" GetCustomElement eID, entity G>siyUh ?3[Gh9g` parID = FindFullName( "Geometry.Arizona Eye" ) JRti2Mu b+=@;0p*6B ' Delete any shift(s) in z N>pTl$\4 count = 0 voX4A
pl While GetOperationCount(eID)>count C{{RU7iqc& GetOperation eID, count, op !4.VK-a9V% If op.Type="ShiftZ" Then 6zbqv 6 DeleteOperation eID,count 6d7E@}< count=count-1 azhilUD8 End If KgD sqwy count=count+1 k)j6rU Wend mafnkQU `T'[H/ 'Set new shift in a/wg%cWG_ op.Type = "ShiftZ" ,xSNTOJ op.val1 = taq >Hr&F
nh+ op.parent = parID 1U)U {i7j AddOperation eID, op 1k)31GEQw Print "Set aqueous humor thickness = " & taq-0.55 SEKR`2Zz, XE#a# '************************************************************************* As{Q9o5j/ 'Radius and conic constant of anterior lens Ez1-Nx '************************************************************************* wI5(`_l{G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 'hGUsi GetConic eID, entity, curv, conic j.]ln}b/'+ #]rfKHW9 SetConic eID, entity, 1/Rant, CCant XWq`MwC9 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant pyw]ydB 'G1~
A + '************************************************************************* wiFA3_\G 'Radius and conic constant of posterior lens *P01 yW0 '************************************************************************* "g5<j p eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 2%?Kc]JY9 GetConic eID, entity, curv, conic tf3R #x+7-hi SetConic eID, entity, 1/Rpost, CCpost WJlJD*3 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost BT^Im=A ZGw6Bd_I '************************************************************************* ,Gi%D3lA 'Lens thickness (Position of posterior lens surface) $x/VO\Z{- '************************************************************************* 6:Hd ` rff_=(?i parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Od("tLIO}I Y=?Tm,z4 ' Delete any z-shift(s) ]."t count = 0 {i<L<Y(3 While GetOperationCount(eID)>count M7fPaJKL GetOperation eID, count, op Vl^p3f[ If op.Type="ShiftZ" Then "8$Muwm DeleteOperation eID,count `t7z
LC^c count=count-1 F! [Gj%~I
End If D nl|B\ count=count+1 7](aPm8 Wend mIe 5{.m# z8dBfA<z 'Set new z-shift tXCgRU op.Type = "ShiftZ" g_3Ozy op.val1 = tlens lqcPV) n op.parent = parID 2Rqpok4 AddOperation eID, op <lZVEg Print "Set lens thickness = " & tlens Yc:>Yzj(z +ovT?CMo '************************************************************************* jL{k!V`s 'Lens index of refraction ok1w4#%, '************************************************************************* Sa-" G` eID = FindMaterial( "Lens" ) 3>v-,S+ GetModelMaterial eID, mat }vb.>hy 2U`!0~pod mat.Nd = nlens mhMTn*9 SetModelMaterial eID, mat GP(nb, Print "Set lens index of refraction = " & nlens 58t_j54 g;7W%v5wqk '************************************************************************* N(kSE^skOa 'Pupil diameter A6I^`0/ '************************************************************************* z.!u<hy( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 8{
+KNqz %KPQ|^WE 'Adjust pupil diameter (trimming volume inner hole) 3F8KF`* R].xT-1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" !ir%Pz^) ?jU 3%" ' Adjust pupil location to just in front of the lens QuBA'4ht parID = FindFullName( "Geometry.Arizona Eye" ) 6st^-L eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) R_=fH\c; count = 0 ?^ R"a## While GetOperationCount(eID)>count vW0U~(XlN GetOperation eID, count, op I%jlM0ZUI" If op.Type="ShiftZ" Then H~?7:K DeleteOperation eID,count h05BZrE count=count-1 @,{Qa!A>l End If Ri3*au/Q count=count+1 yb-4[C:i Wend T5-Yqz op.Type = "ShiftZ" .7+"KP: op.val1 = taq-0.01 Z6nQW53- op.parent = parID g77 :92 AddOperation eID, op <r)5jf ctPT=i60 Print "Set pupil diameter = " & pupilDiam g)}q3-<AK> N"7BV 'Update AZ Eye subassembly Description %NcBq3 eID = FindFullName( "Geometry.Arizona Eye" ) ] I5&'#%2
GetEntity eID, entity z%nplG'~| entity.Description = "Accommodation = " & A & "D" L lD=c SetEntity eID, entity K."W/A! (/S6b Update +fHqGZ] Print "DONE!" &w{z )1g\v8XT End Sub s6D Pb_, x=N0H 如果屈光度是4,光瞳直径是4,则会输出如下数据: +.v+Opp, L+lX$k Accommodation = 4 Diopters w6ck wn, Pupil Diameter = 4 mm 0S\HO<~k Set aqueous humor thickness = 2.81 PB#EU9 Set anterior lens radius = 10.4 and conic constant = -2.375869 \SBAk
h Set posterior lens radius = -4.424557 and conic constant = -3.081019 qykI[4 Set lens thickness = 3.927
QrLXAK\5 Set lens index of refraction = 1.42672 zpy&\#Vc Set pupil diameter = 4 eI@G B DONE! WHr:M/qD k;<F33v;Mh JmuoYl f| QQ:2987619807 <!-#]6
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