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简介 #M$[C d
I$ 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。 NEa: h=.|!u 模型 jA$g0> J_C<Erx[O 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Gi~p-OS, KoRJ'WW^ Table 1. AZ眼睛模型的定义 h$)(-_c3 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. %I9{)'+@x mM!'~{r[- 光源 P,k~! F^L gS _)( 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。 "X T7;! nBI?~hkP3 P9p:x6 图1. 光源和提示信息使用 mcy\nAf5% 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。 S_/9eI~X rdhK&5x* 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。 1uZ[Ewl] vH%AXzIA 图2. 字母F光源的设定方法光 &PaqqU. lqn7$ 图3. 字母F在视网膜上位置点列图 4sasf94 视网膜的散射 |iKk'Rta4 &PVos|G 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。 5XySF # n0F.Um )uC],CbW{ 图4. 视网膜朗伯散射设定 \
T/i]z 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。 P?p>'avP gKeqf-UWKJ fuSfBtLPR# 图5. 视网膜重点采样规格设定 M(|Qvh{Q6 脚本 oW(lQ'" {STOWuY 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: fOJ0#^Z T]Z|Wq`bot 图6. 用户对话框的创建与编辑 0B fqEAl 图7. 用户对话框编辑器 +PgUbr[p 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。 $R(?@B( 余下的脚本计算与屈光度有关的所有参数。 w`=_|4wFw 7[h_"@_A7 分析 2+zE|I. ma9q?H#X 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 'N^\9X0 pd{W(M78g 图7. 字母F在视网膜上颜色分析 PLU8:H@X 脚本代码 HM57b>6 A'r 3%mC Option Explicit 'Remove this to enable non-dimensioned variables to be used. EBlfwFd VN[C%C Dim entity As T_ENTITY 9qN4f8R Dim op As T_OPERATION Lh3>xZy"-z Dim mat As T_MODELMATERIAL Z?X0:WK Dim A As Double `q|&;wP. Dim pupilDiam As Double /WlK*8C Dim eID As Long |$"2R3 Dim parID As Long BC*vG=a Dim count As Integer rE0?R(_ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double u$ [R>l9 Dim tlens As Double, nlens As Double n@n608 Dim curv As Double, conic As Double Ay)q %:qx Dim ok As Long u>c\J|K_V CvfXm Sub Main Rs_0xh N<lejZ}!q '用户输入对话框 dv=y,q@W Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !OWPwBm; TextBox 220,21,40,21,.TextBox1 'default: 0 y_O [r1MF Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 !wiW#PR OKButton 40,91,90,21 !Ic;;< CancelButton 190,91,90,21 +Go(yS Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _Gs*4: TextBox 220,49,40,21,.TextBox2 'default: 4 piYv}4;:( End Dialog Td#D\d\R Dim dlg As UserDialog mr:;Wwd ~^d. zIN! ok = Dialog (dlg) o?nlnoe 5`qt82Qm If ok=0 Then 'cancel button was pressed dmh6o * Print "Execution cancelled." $YZsaw End Y[%1?CREP End If sX&.8 [MSLVTR 'Assign accommodation and pupil diameter & use defaults if field left empty VBc[(8o If dlg.TextBox1 = "" Then &v!=\Fig4 A = 0 'Default accommodation \b{Aj,6, Else V3;4,^=6Dd A = CDbl(dlg.TextBox1) nQ|4.e; End If Bz}Dgbb @L^Fz$Sx If dlg.TextBox2 = "" Then *r!f! eA: pupilDiam = 4 'Default pupil diameter bqugo Else ]zp5 6U|xa pupilDiam = CDbl(dlg.TextBox2) 9pPb]v,6 End If _XT]," o`?0D)/O Print " " W{E22J} Print "Accommodation = " & A & " Diopters" 7#n<d879e% Print "Pupil Diameter = " & pupilDiam & " mm" JFaxxW z0J$9hEg89 ' Calculate new parameters with accommodation e&[gde( taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0_yE74i Enee\!@v Rant = 12.0 - 0.4*A 'Radius of anterior lens eUQ., mP CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens =4GJYhj }.Eq_wP< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens WelB+P2 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %M8Egr2|0 $ tf;\R tlens = 3.767 + 0.04*A 'Lens thickness 2m.RM&TdB HZMs],GX nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction u#5/s 8 SQ#6~zxl 'Adjust parameters to account for accommodation xGbr>OqkTX V~LZ%NZ8 '************************************************************************* iO=xx|d 'Aqueous thickness (Position of Lens) I(BG%CO9 '************************************************************************* lhg3
}dW eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =jD[A>3I GetCustomElement eID, entity j`^':! H"(:6
` parID = FindFullName( "Geometry.Arizona Eye" ) 3nuf3) XfA3Ez,} ' Delete any shift(s) in z
'$Jt}O count = 0 N/)mw/?i While GetOperationCount(eID)>count ja$>>5<q GetOperation eID, count, op
?7-#iC` If op.Type="ShiftZ" Then Mq) n=M DeleteOperation eID,count lJ]r%YlF count=count-1 1"46OCu{ End If $w%oLI@kl count=count+1 ,oe
e' Wend BmYU#h ZCPK{Ru QE 'Set new shift in 2rHw5Wn]~ op.Type = "ShiftZ" Cw?AP6f% op.val1 = taq SCeZt [
op.parent = parID A/N*Nc AddOperation eID, op J#*Uf>5NY Print "Set aqueous humor thickness = " & taq-0.55 O<4i)Lx2 z.16%@R '************************************************************************* )hk=wu6 'Radius and conic constant of anterior lens TI}H(XL( '************************************************************************* 4zghM< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kFv\V GetConic eID, entity, curv, conic ih`/1n q?z6|]M|u SetConic eID, entity, 1/Rant, CCant L1BpkB Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant L5T)_iQ5 Y^LFJB|b4 '************************************************************************* ..FUg"sSO 'Radius and conic constant of posterior lens wI>JOV7 '************************************************************************* ,2JqX>On>Y eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) fLI@;*hL0 GetConic eID, entity, curv, conic > 0 !J]gK 7 g ]]> SetConic eID, entity, 1/Rpost, CCpost +lJuF/sS8m Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !Go(8`> SUD]Wl7G`r '************************************************************************* CW\o>yh 'Lens thickness (Position of posterior lens surface) =@pm-rI|- '************************************************************************* (m;P,* ibzYY"D: parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ("/*k yfTnj:Fz ' Delete any z-shift(s) 344,mnAd count = 0 /l(:H While GetOperationCount(eID)>count 'IfM~9'D GetOperation eID, count, op jLr8?Hyf If op.Type="ShiftZ" Then 6FEtq,;0w DeleteOperation eID,count 6 /4OFvL1 count=count-1 eBU\& |