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简介 )%MC*Z:^ 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。 _"L6mcI6 $HsNV6 模型 2M'dTXz )Hmf=eoc 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。 BLO ]78
z]+L=+,, Table 1. AZ眼睛模型的定义 2~?E' 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. ){"?@1vP OQB7C0+ & 光源 W_JO~P vQK/xg 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。 !e~[U- 3u$1W@T( qrw 图1. 光源和提示信息使用 z<vh8dNl 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 'u;O2$ QO(F%&v++ 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。 A8*zB=C &4S2fWx 图2. 字母F光源的设定方法光 ZDbe]9#Xh LrbD%2U$j5 图3. 字母F在视网膜上位置点列图 jd-]q2fQ| 视网膜的散射 M\5| 8Ejb/W_ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 [%N?D#; iP"sw0V8 #Ir?v 图4. 视网膜朗伯散射设定 Coe/ 4!$M 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。 m\0_1 #( uoI7'
:Nv e@W+ehx" 图5. 视网膜重点采样规格设定 uI/
wR! 脚本 *??lwvJp ?}4,s7PR 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: KRC"3Qt
nwUz}em?O 图6. 用户对话框的创建与编辑 ngl +`|u 图7. 用户对话框编辑器 A,c XN1V 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。 Y-a 余下的脚本计算与屈光度有关的所有参数。 h7UNmwj HT .*r6Y>g 分析 `IUn{I Jq'8" 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 1d<Uwb> 3>aEP5 图7. 字母F在视网膜上颜色分析 YiDO V) 脚本代码 bTaKB- $0E+8xE Option Explicit 'Remove this to enable non-dimensioned variables to be used. QH9t |l _b~{/[s Dim entity As T_ENTITY #Or;"}P>fB Dim op As T_OPERATION )_=2lu3%{ Dim mat As T_MODELMATERIAL nOGTeKjEJ Dim A As Double D![v{0 er Dim pupilDiam As Double W-n4wIj" Dim eID As Long Ec@n<KK# Dim parID As Long p2i?)+z Dim count As Integer WYUDD_m Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q,&Li+u| Dim tlens As Double, nlens As Double RDp Dim curv As Double, conic As Double akzGJ3g Dim ok As Long "+ou!YK+ WR"D7{>tw Sub Main J{1H$[W~} Y"GNJtsL " '用户输入对话框 qJrT Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 j )6 TextBox 220,21,40,21,.TextBox1 'default: 0 "s(~k Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 E5bVCAz OKButton 40,91,90,21 ){5Nod{}a CancelButton 190,91,90,21 LKu\M h| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W-=6:y#A TextBox 220,49,40,21,.TextBox2 'default: 4 ;/j2(O^ End Dialog \g39>;iR Dim dlg As UserDialog <h7cQ [X.bR$> ok = Dialog (dlg) K
-U}sW -)`_w^Ox If ok=0 Then 'cancel button was pressed kt/,& oKI Print "Execution cancelled." >1Z"5F7= End l<`> End If J,2V&WuV0r "+F'WCJ-(* 'Assign accommodation and pupil diameter & use defaults if field left empty CI'RuR3y]Z If dlg.TextBox1 = "" Then
p+h$]CH A = 0 'Default accommodation `<C<[JP:o Else f~`=I NrU A = CDbl(dlg.TextBox1) uZ!YGv0^ End If hy5[
L`B -b(DPte If dlg.TextBox2 = "" Then to'7o8Z pupilDiam = 4 'Default pupil diameter u5(8k_7 Else wGc7 pupilDiam = CDbl(dlg.TextBox2) zfeT>S+ End If {{?g%mQ6 ci~#G[_$S Print " " o|kykxcq Print "Accommodation = " & A & " Diopters" ,@`?I6nKy Print "Pupil Diameter = " & pupilDiam & " mm" H@Z_P p? #).$o~1ht! ' Calculate new parameters with accommodation k6(7G@@} taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness P!eo#b^S oN7SmP_ Rant = 12.0 - 0.4*A 'Radius of anterior lens +1ICX CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens m\L`$=eO8 O
*sU|jeO Rpost = -5.224557 + 0.2*A 'Radius of posterior lens $C4~v CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $TI^8 3 >HP
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H tlens = 3.767 + 0.04*A 'Lens thickness s,HbW%s 95l)s], nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction u^"
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O( 'Adjust parameters to account for accommodation sT M;l, ^3;B4tj[ '************************************************************************* 6Y9N=\` 'Aqueous thickness (Position of Lens) No^gKh24 '************************************************************************* Nd~B$venh eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X0lPRk53( GetCustomElement eID, entity p['RV ,i2- parID = FindFullName( "Geometry.Arizona Eye" ) 36"n7 ar3L|MN ' Delete any shift(s) in z e97G]XLR count = 0 |N.2iN: While GetOperationCount(eID)>count 7oE0;' GetOperation eID, count, op |R`"Zu` If op.Type="ShiftZ" Then f9.?+.^_ DeleteOperation eID,count !J$r|IX5 count=count-1 sh<Q2X
End If $DbnPZ2$ count=count+1 J]F&4O Wend Npp YUY _olQ;{ U: 'Set new shift in q~ H>rC(\ op.Type = "ShiftZ" %5o2I_Cjz op.val1 = taq YKyno?m op.parent = parID cS ~OxAS AddOperation eID, op :Sq]|) Print "Set aqueous humor thickness = " & taq-0.55 g6GkA.!X$ @N=vmtLP '************************************************************************* cU1o$NRx 'Radius and conic constant of anterior lens W__ArV2Z_ '************************************************************************* kwI``7g8*e eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8Q'Emw | GetConic eID, entity, curv, conic >Bt82ibN HI.*xkBXl& SetConic eID, entity, 1/Rant, CCant u#0snw~)/ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]G/m,Zv*: }A)\bffH '************************************************************************* GEBSUvM 7 'Radius and conic constant of posterior lens -`O{iHfM|P '************************************************************************* E/;t6&6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Hfcpqa GetConic eID, entity, curv, conic Pfd1[~, 7sot?gF SetConic eID, entity, 1/Rpost, CCpost g'"~' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >!963>D R "Ep"$d '************************************************************************* ~Amq1KU*Z 'Lens thickness (Position of posterior lens surface) 8&<mg;H, '************************************************************************* afm\Iv[* s,z~qL6& parID = FindFullName( "Geometry.Arizona Eye.Lens" ) >3 o4 U2 M\ATT%b: ' Delete any z-shift(s) ,06Sm]4L, count = 0 VYk:c`E While GetOperationCount(eID)>count $7x2TiAL GetOperation eID, count, op -f+#j=FX If op.Type="ShiftZ" Then YT\`R DeleteOperation eID,count F/5&:e?( ) count=count-1 Ji4p6$ .j- End If 7^L count=count+1 0At0`Q# Wend c*bvZC^6 V9c.(QY|f 'Set new z-shift vFPY|Vzh op.Type = "ShiftZ" MIMC(< op.val1 = tlens 9LR=>@Z op.parent = parID [vg&E
)V AddOperation eID, op )Z7Vm2a Print "Set lens thickness = " & tlens X9x`i A5<t> 6Y '************************************************************************* u]p21)m$x 'Lens index of refraction ,i>`Urd '************************************************************************* K<S3gb?0 eID = FindMaterial( "Lens" ) l;-Ml{}|0 GetModelMaterial eID, mat *z0!=>( #M-!/E mat.Nd = nlens N
J3;[qJ SetModelMaterial eID, mat G m~ ./- Print "Set lens index of refraction = " & nlens \"lz,bT .9~j%]q '************************************************************************* !=0h*=NOYt 'Pupil diameter F};R '************************************************************************* hU?DLl:bXF eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 'uL4ezTtA 'l*X?ccKy 'Adjust pupil diameter (trimming volume inner hole) f{BF%; ztp|FUi SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" wQxI({k@ hD6BP ' Adjust pupil location to just in front of the lens : auR0FE parID = FindFullName( "Geometry.Arizona Eye" ) 0eY!Z._^ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) gOF^?M11x count = 0 w~Tg?RH: While GetOperationCount(eID)>count )Sn0Y B GetOperation eID, count, op g=Xf&}&=x If op.Type="ShiftZ" Then f$I=oN DeleteOperation eID,count atL<mhRz count=count-1 X[B P0:`t End If O(^h_ count=count+1 #asg5 } Wend =?5)M_6) op.Type = "ShiftZ" *EWWN?d op.val1 = taq-0.01 K%q5:9m op.parent = parID E&U_1D9=L< AddOperation eID, op EU[\D; ?=1eHnP!R Print "Set pupil diameter = " & pupilDiam \|=6<ZY: +,e#uuj$p 'Update AZ Eye subassembly Description Fh #QS'[ eID = FindFullName( "Geometry.Arizona Eye" ) ;(C<gt,r} GetEntity eID, entity *,\v|]fc entity.Description = "Accommodation = " & A & "D" X^\D"fmE. SetEntity eID, entity 'ZbWr*bo 3h7RQ:lUi Update bRAD_ Print "DONE!" gAAC>{Wh }g bLWx'iG End Sub v,w af`)J tZ_'>7) 如果屈光度是4,光瞳直径是4,则会输出如下数据: Fp\;j\pfw wGyVmC Accommodation = 4 Diopters \jfK']P/H Pupil Diameter = 4 mm ibkB>n{( Set aqueous humor thickness = 2.81 ucN'
zq Set anterior lens radius = 10.4 and conic constant = -2.375869 *yBVZD|?H Set posterior lens radius = -4.424557 and conic constant = -3.081019 mnm
ZO} Set lens thickness = 3.927 VLXA6+ Set lens index of refraction = 1.42672 JK$3qUDnI Set pupil diameter = 4 8$IKQNS DONE! jVff@)_S YBt=8`r (文章来源:讯技光电)
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