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简介 fHFE){ 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。 WsB ?C&>x ZECfR>`x 模型 1qA;/-Zr<o H:|uw 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。 })%{AfDRF ]f_p8?j" Table 1. AZ眼睛模型的定义 9*M,R,y 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{QqY.Gu{G /{I$ #:M 光源 59u}W 0 %N._w!N<5n 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。 $&c*'3 XCQs2CHt ;$4\e)AB 图1. 光源和提示信息使用 FS O).=# 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ?r4>" [ '&b+R`g' 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 !N^@4* h?U
O&( 图2. 字母F光源的设定方法光 :3 mh@[V %cn<ych
G 图3. 字母F在视网膜上位置点列图 ]SEZaT 视网膜的散射 #'`{Qv0,
;_=&-mz 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 d'> x(Yi [-w%/D%@ V7/Rby Q 图4. 视网膜朗伯散射设定 yHaGkm 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 UiNP3TJ'L ckn(`I Id9TG/H7 图5. 视网膜重点采样规格设定 lOp`m8_= 脚本 (9)Q ' 'S 6S#Cl>v 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 3so%gvY.' BA.uw_^4 图6. 用户对话框的创建与编辑 z$sGv19pB 图7. 用户对话框编辑器 zQ PQ 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。 1Y,Z
%d 余下的脚本计算与屈光度有关的所有参数。 ,esmV- !,PWb3S 分析 XWw804ir !VpoZ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
\=o- b.938#3, 图7. 字母F在视网膜上颜色分析 zuCSj~ 脚本代码 %iB,IEw l^}c! Option Explicit 'Remove this to enable non-dimensioned variables to be used. l,).p <VE@DBWyl~ Dim entity As T_ENTITY !R$`+wZ62 Dim op As T_OPERATION F0#
'WfM# Dim mat As T_MODELMATERIAL \2z>?i) Dim A As Double Bw.i}3UT6 Dim pupilDiam As Double p
ll)Y Dim eID As Long Qb%J8juRf Dim parID As Long ,x $,l Dim count As Integer a'T;x`b8U, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 4M T 7 `sr Dim tlens As Double, nlens As Double i#O SC5ZI Dim curv As Double, conic As Double 7 8,n%=nG Dim ok As Long gGuO jiGTA:v Sub Main y7<|_:00 E-FUlOG& '用户输入对话框 MK*r+xfSae Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 (k P9hcV TextBox 220,21,40,21,.TextBox1 'default: 0 {`_i` Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 p<%d2@lp OKButton 40,91,90,21 a9Vi]; CancelButton 190,91,90,21 \<K5ZIWV Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I+(nu47ZT TextBox 220,49,40,21,.TextBox2 'default: 4 ^rz_f{c]- End Dialog N>E_%]C h Dim dlg As UserDialog gDzK{6Z} )5H?Vh>36 ok = Dialog (dlg) {{1G`;|v9 ?A0)L27UE& If ok=0 Then 'cancel button was pressed x~sBzTa Print "Execution cancelled." E`J@hl$N End C,zohlpC End If ]###w; HKe K<V 'Assign accommodation and pupil diameter & use defaults if field left empty ig"L\ C"T If dlg.TextBox1 = "" Then DfB7*+x{ A = 0 'Default accommodation bMBLXk Else T4F/w|Q A = CDbl(dlg.TextBox1) {)Xy%QV End If r|Z{-*` #z42C?V If dlg.TextBox2 = "" Then a.Vuu)+Quw pupilDiam = 4 'Default pupil diameter !~Z"9(v'C Else ,z6~?6m pupilDiam = CDbl(dlg.TextBox2) 0"#HJA44 End If 0 {mex4 DNi+"[~&P Print " " ! P4*+')M Print "Accommodation = " & A & " Diopters" !m$jk2< Print "Pupil Diameter = " & pupilDiam & " mm" 8k79&| 4K74=r),i ' Calculate new parameters with accommodation fy$1YI>!Q taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness n@w%Zl =V5%+/r +f Rant = 12.0 - 0.4*A 'Radius of anterior lens 2SLU:=<3 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens X?Au/ ]^]wP]R_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 9u:Q,0\ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens >3bCTE V.Mry`9- tlens = 3.767 + 0.04*A 'Lens thickness %)n=x
ne adw2x pj nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 4P0}+ 0YHFvy) 'Adjust parameters to account for accommodation 2pAW9R#UV- W!<U85-#S '************************************************************************* n`KY9[0U= 'Aqueous thickness (Position of Lens) KlqY@Xt '************************************************************************* OJxl<Q=z eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9FX-1,Jx GetCustomElement eID, entity < vP=zk snJ129}A parID = FindFullName( "Geometry.Arizona Eye" ) KmF]\:sMD _-\#i ' Delete any shift(s) in z oU/5 a>9~ count = 0 nP$9CA While GetOperationCount(eID)>count ;Qq\DFe.w GetOperation eID, count, op y)*RV;^ If op.Type="ShiftZ" Then <uJ@:oWG7 DeleteOperation eID,count ctUp=po count=count-1 Y$zSQ_k;U End If pXUSLs count=count+1 A=4OWV? Wend 5X+A"X
;C qb4z
T 'Set new shift in He)%S]RLk op.Type = "ShiftZ" a9 G8q>h]O op.val1 = taq UI#h&j5pW op.parent = parID `2snz1>!j AddOperation eID, op {8aTV}Ha2 Print "Set aqueous humor thickness = " & taq-0.55 ;);kEq/=P 6wxs1G '************************************************************************* M`>E|"< 'Radius and conic constant of anterior lens % `3jL7| '************************************************************************* "]dI1 g_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 26nx`w?j( GetConic eID, entity, curv, conic $^P0F9~0 4Up/p&1@ SetConic eID, entity, 1/Rant, CCant O84i;S+-p Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant xA/D' `9 L>* '************************************************************************* v1[29t<I! 'Radius and conic constant of posterior lens ys~x$ '************************************************************************* Dj +f]~ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %LV9=!w GetConic eID, entity, curv, conic ?EL zj ]!
dTG SetConic eID, entity, 1/Rpost, CCpost ;fJ.8C Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost (?c-iKGc ] @'!lhLi '************************************************************************* @VBcJ{e, 'Lens thickness (Position of posterior lens surface) Zh,71Umz '************************************************************************* P%6~&woF ]A"h&`Cvt parID = FindFullName( "Geometry.Arizona Eye.Lens" ) TO_e^A# yLGRi^d# ' Delete any z-shift(s) q@&6#B count = 0 H. c7Nle While GetOperationCount(eID)>count g*Phv|kI GetOperation eID, count, op SIllU If op.Type="ShiftZ" Then Th%zn2R B DeleteOperation eID,count Kgv T"s. count=count-1 <[v[ci End If AdmC&!nH count=count+1 -12U4h<e Wend j [a(#V{ _&x%^&{ 'Set new z-shift ;*N5Y}?j' op.Type = "ShiftZ" :Al!1BJQ op.val1 = tlens @,}UWU op.parent = parID #ABCDi={zA AddOperation eID, op lk!@? Print "Set lens thickness = " & tlens .6> w'F{> Fs{*XKv&lH '************************************************************************* FlQGgVN 'Lens index of refraction B1gR5p 0 '************************************************************************* 43w}qY1 eID = FindMaterial( "Lens" ) *R"/ |Ka GetModelMaterial eID, mat 9$Y=orpWxr No$3"4wk mat.Nd = nlens CAlCDfKW} SetModelMaterial eID, mat UBs4K*h|
Print "Set lens index of refraction = " & nlens $:6!H:ty Y@v>FlqI{ '************************************************************************* =%7-ZH9 'Pupil diameter H+#FSdy# '************************************************************************* $j~RWfw- eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $xqa{L%B jCY%| 'Adjust pupil diameter (trimming volume inner hole) z{543~Og59 xG 1nGO SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" zqku e%^?- Zfw,7am/ ' Adjust pupil location to just in front of the lens vI?, 47Hj+ parID = FindFullName( "Geometry.Arizona Eye" ) 0_/[k*Re eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) >~f]_puT count = 0 3%6?g* While GetOperationCount(eID)>count "tZe>>I GetOperation eID, count, op :3PH8TL If op.Type="ShiftZ" Then
y7{?Ip4[ DeleteOperation eID,count 0J|3kY-n> count=count-1 :m;p:l|W End If _aphkeqd count=count+1 ~Ei<Z`3}7" Wend 5G#n"}T op.Type = "ShiftZ" T|$H#n} op.val1 = taq-0.01 =M1I> op.parent = parID #Z #-Ht AddOperation eID, op #mT"gs Ef\-VKh Print "Set pupil diameter = " & pupilDiam V#HuIgf- _`V'r#Qn 'Update AZ Eye subassembly Description U:`Kss` eID = FindFullName( "Geometry.Arizona Eye" ) ~u{uZ(~ GetEntity eID, entity OI*H,Z" entity.Description = "Accommodation = " & A & "D" t1".0 SetEntity eID, entity 3$tdwe$S v19-./H^
j Update W^Yxny Print "DONE!" O1lNAcpeM }k0_5S End Sub I]575\bA #WuBL_nZ~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: !if 0sqFF[i Accommodation = 4 Diopters oDR%\VY6T Pupil Diameter = 4 mm W!X@ Set aqueous humor thickness = 2.81 x:;kSh Set anterior lens radius = 10.4 and conic constant = -2.375869 8}[).d160 Set posterior lens radius = -4.424557 and conic constant = -3.081019 XSDpRo Set lens thickness = 3.927 }EPY^VIw Set lens index of refraction = 1.42672 0@(&eH= Set pupil diameter = 4 |>Vb9:q9Po DONE! $`c:& yfSmDPh (文章来源:讯技光电)
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