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简介 73.b9mF 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。 .wSAysiQ|P L5W>in5( 模型 N@$%0! ;rKYWj>IR 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 GSH{1VS_b |<0@RCgM Table 1. AZ眼睛模型的定义 yN.D(ZwF: 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. on\\;V_/Q 2 *$n? 光源 5dk,!Cjg UK,P?_e 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。 '3Ie0QO]"% $\
'\@3o a6d KQ3D 图1. 光源和提示信息使用 _;{-w%Vf 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 K;l'IN"N "q.uiz+1: 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 !)=o,sVA a5M>1&j/eC 图2. 字母F光源的设定方法光 ap~Iz EiUV?Gvz 图3. 字母F在视网膜上位置点列图 B .mV\W 视网膜的散射 U:9vjY hd;I x%tq> 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 JPG!cX% M6sDtL9l !*gAGt_ 图4. 视网膜朗伯散射设定 3#[I_ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 MVdx5,t #Au&2_O N3<Jh 图5. 视网膜重点采样规格设定 .)w0C%] 脚本 X;:xGZ-oY Uj)]nJX 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: {@AcL:Eit ]w>fnew 图6. 用户对话框的创建与编辑 h6 i{5\7. 图7. 用户对话框编辑器 df& |Lc1J 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 C5UDez 余下的脚本计算与屈光度有关的所有参数。 2\de |' AtDrQ<>y' 分析 /p0LtUMu Rn_c9p
屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ,IE0+!I 9K<a}QJP 图7. 字母F在视网膜上颜色分析 QO k"UP 脚本代码 u0b-JJ7)BQ iGLYM- Option Explicit 'Remove this to enable non-dimensioned variables to be used. t8 "-zd8 <v k$eB8EC Dim entity As T_ENTITY u$8MVP Dim op As T_OPERATION o q)"1 Dim mat As T_MODELMATERIAL A>A'dQ69 Dim A As Double CJ Dim pupilDiam As Double 22~X~= Dim eID As Long
a|uZJ* Dim parID As Long 1C=P #MU` Dim count As Integer {+9\o ~ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MPN=K|* Dim tlens As Double, nlens As Double Y26l,XIV Dim curv As Double, conic As Double 4 GW[GT Dim ok As Long z,YUguc|
,D,f9 Sub Main 5O
;^Mk| }tO<_f)) '用户输入对话框 ya g Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 v:1Vli. TextBox 220,21,40,21,.TextBox1 'default: 0 u#k,G` Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =[os<+ OKButton 40,91,90,21 arVf"3a CancelButton 190,91,90,21 B-'BJ|*4I Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 M|e
n>P TextBox 220,49,40,21,.TextBox2 'default: 4 xGv,%'u\ End Dialog _kX/LR"L+ Dim dlg As UserDialog mIEaWE;E" ![ID0}MjJ ok = Dialog (dlg) }IkEyJsk {0WIDD If ok=0 Then 'cancel button was pressed DeQ'U!?+N Print "Execution cancelled." <D;Q8 End +gCy@_2; End If @aN=U= EiP&Y,vT 'Assign accommodation and pupil diameter & use defaults if field left empty )"jn{%/t If dlg.TextBox1 = "" Then *Ne2l`!1m A = 0 'Default accommodation b(-t)5^} Else udI:]:,P A = CDbl(dlg.TextBox1) `+Z#*lj|@ End If 7C7(bg,7^ @^6OV) If dlg.TextBox2 = "" Then (`.qG
&6p pupilDiam = 4 'Default pupil diameter wDMB Else s1 ^mk] pupilDiam = CDbl(dlg.TextBox2) c0Ro3j\p End If ?WtG|w XAxI?y[c Print " " pXj/6+^ Print "Accommodation = " & A & " Diopters" )LrCoI =| Print "Pupil Diameter = " & pupilDiam & " mm" 7cP[o+ "q>I?UcZ ' Calculate new parameters with accommodation .O%1)p taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness '7LJuMp$# uQtk|)T E Rant = 12.0 - 0.4*A 'Radius of anterior lens h)l&K%4; CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens fQTA@WAr &G|jzXE Rpost = -5.224557 + 0.2*A 'Radius of posterior lens o7a6 )2JK CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens +'Y(V&
uC*:#[ tlens = 3.767 + 0.04*A 'Lens thickness 2|H91Y2 2DCcGKa" nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction R ms01m>Y W*rU,F|9 'Adjust parameters to account for accommodation R{xyme@"^ &J/4J '************************************************************************* ctUF/[_w; 'Aqueous thickness (Position of Lens) wH_n$w '************************************************************************* .Lr)~ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) CNRU"I+jU GetCustomElement eID, entity "kBqY+:Cn BXK::M+ parID = FindFullName( "Geometry.Arizona Eye" ) )4L%zl7 l88a#zUQDN ' Delete any shift(s) in z qzlMn)e count = 0 :CkR4J!m3 While GetOperationCount(eID)>count a[74%L? GetOperation eID, count, op ZOrTbik If op.Type="ShiftZ" Then ci_v7Jnwo DeleteOperation eID,count e=n{f*KG` count=count-1 ZYA.1VrM End If sAD P~xvU
count=count+1 |CZnq-,C Wend B`?N0t%X Y zBA{FE 'Set new shift in [N95.aD op.Type = "ShiftZ" C/CfjRzd op.val1 = taq BvZ^^IUb op.parent = parID @X|i@{<'; AddOperation eID, op u_6BHsU Print "Set aqueous humor thickness = " & taq-0.55 !,6v=n[Nz v<7Gln '************************************************************************* B/sBYVU 'Radius and conic constant of anterior lens -Nlf~X '************************************************************************* >\?z37:T eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H?`)[# GetConic eID, entity, curv, conic J%\~<_2ny zOao& SetConic eID, entity, 1/Rant, CCant NHFEr Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant CEX}`I*- t;LX48TQ '************************************************************************* pe!dm}!h[ 'Radius and conic constant of posterior lens .?i-rTF: '************************************************************************* AJ#m6`M+EK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) s=nVoc{Yt GetConic eID, entity, curv, conic uFm+Y]h g* \P6 SetConic eID, entity, 1/Rpost, CCpost znQ'm^ h Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ~gfA](N 1(%>`=R8 '************************************************************************* ^)hAVf~E 'Lens thickness (Position of posterior lens surface) ,XeyE;|| '************************************************************************* 9b" 9m*gC S7UZGGjTk parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 62MRI YH'$_,8peM ' Delete any z-shift(s) mZbWRqP[|_ count = 0 `\/toddUh[ While GetOperationCount(eID)>count P>{US1t GetOperation eID, count, op J+}+"h~. If op.Type="ShiftZ" Then FI1THzW4J DeleteOperation eID,count e' U"`)S count=count-1 bSrRsgKvT End If |-(IJG#) count=count+1
b(}Gm@# Wend jF38kj3O7 pK6e/eC 'Set new z-shift CYPazOfj op.Type = "ShiftZ" atLV`U&t op.val1 = tlens fjIcB+Z op.parent = parID 6WE&((r^ AddOperation eID, op ?o~:'Z Print "Set lens thickness = " & tlens Ic[}V0dk WCuzV7tw '************************************************************************* ;m@1Ec@*p 'Lens index of refraction fJ)N:q` '************************************************************************* MvFM, eID = FindMaterial( "Lens" ) Lh8bQH GetModelMaterial eID, mat >H0) ph
eeW' [ mat.Nd = nlens <`R|a * SetModelMaterial eID, mat JcTp(fnW.~ Print "Set lens index of refraction = " & nlens F . K2 dSOlD/c
'************************************************************************* QP6z?j. 'Pupil diameter 24T@N~\g '************************************************************************* 4meidKw] eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) K-J|/eB ="uKWt6n' 'Adjust pupil diameter (trimming volume inner hole) _\
. cS<TmS! SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" V#ndyUM; PUbaS{J7 ' Adjust pupil location to just in front of the lens X}oj_zsy;^ parID = FindFullName( "Geometry.Arizona Eye" ) 7"ylN"syZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5/& 1Oxo count = 0 ss?] While GetOperationCount(eID)>count 5cD
XWF GetOperation eID, count, op XzlKP;r0 If op.Type="ShiftZ" Then R<f#r0 3@| DeleteOperation eID,count 9o-!ecx} count=count-1 B0f_kH~p~ End If 9pWi.J count=count+1 UdT&cG Wend 5^)?mA op.Type = "ShiftZ" [f<"p[ op.val1 = taq-0.01 BJ~ivT< op.parent = parID cyW;,uT)D AddOperation eID, op M'yO+bu 1#grB(p? Print "Set pupil diameter = " & pupilDiam Da"yZ\4 - #3{{ 'Update AZ Eye subassembly Description *;<e
'[Y7f eID = FindFullName( "Geometry.Arizona Eye" ) 5a'yXB} GetEntity eID, entity ;aq `N}d entity.Description = "Accommodation = " & A & "D" l iw,O 6 SetEntity eID, entity `vudS? D9ANm"# Update $Axng
J c Print "DONE!" (~S<EUc$ :@.C4oq End Sub (nGkZ}p ]Z_$'?f 如果屈光度是4,光瞳直径是4,则会输出如下数据: @gNpJB]V /:U1!9.y Accommodation = 4 Diopters _3|6ZO Pupil Diameter = 4 mm 8KFj<N>' Set aqueous humor thickness = 2.81 SU/G)&Mi Set anterior lens radius = 10.4 and conic constant = -2.375869 t) LU\! Set posterior lens radius = -4.424557 and conic constant = -3.081019 sF y]+DB Set lens thickness = 3.927 DL,[k
( Set lens index of refraction = 1.42672 cn$5:%IK Set pupil diameter = 4 Zb]/nP1P DONE! bZiyapM XTV0Le\f (文章来源:讯技光电)
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