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简介 T+p?VngF t-_~jZ< 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。 dLl/V3C6t E0QrByr_ 模型 9xL8 ];- 2(V;OWY(@ 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。 Rn6;@Cw nxH+XHv Table 1. AZ眼睛模型的定义 k2{*WF 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. jA@js v .Fo0AjL}x 光源 RGd@3OjN 'J(rIH3U 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。 (ZR+(+i, r|2Y|6@ . 7WNd/WG 图1. 光源和提示信息使用 #~]S 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。 _7df(+.{<A @H%)!f]zWt 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。 E`68Z/% ,h1
z8.wD| 图2. 字母F光源的设定方法光 ,z A9* ._2#89V 图3. 字母F在视网膜上位置点列图 v eP)ElX 视网膜的散射 Ni]V)wGE; aH7i$U& 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 R5PXX&Q B->3/dp2c' [-}LEH1[p 图4. 视网膜朗伯散射设定 z8v] Kt & 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 rqJ'm?>cr <Uj~S *d%"/l^0 图5. 视网膜重点采样规格设定 -Zs.4@GH 脚本 zJC!MeN M\4pTcz{ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: AAbI+L0m{ Cu*+E%P9` 图6. 用户对话框的创建与编辑 G i1Jl" 图7. 用户对话框编辑器 Mf 'T\^-! 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 LIzdP,^pc 余下的脚本计算与屈光度有关的所有参数。 )F_0('=t 1Pya\To,m 分析 kg0X2^#b Sg#$
B#g 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ./SDZ:5/ 4^4<Le-G 图7. 字母F在视网膜上颜色分析 @E Srj[ 脚本代码 lG[@s 'j %t& Option Explicit 'Remove this to enable non-dimensioned variables to be used. c3S}(8g5. H&$L1CrdL Dim entity As T_ENTITY +qN}oyL
Dim op As T_OPERATION ~SKV% Dim mat As T_MODELMATERIAL eBUexxBY Dim A As Double 0PfjD Dim pupilDiam As Double c*>8VW> Dim eID As Long 9]u=b\fzZ Dim parID As Long 'mwgHo<u Dim count As Integer 5UWj#|t Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
o[$~ Dim tlens As Double, nlens As Double c?ZM<Y" Dim curv As Double, conic As Double kwI[BF Dim ok As Long il8n
K & OO0v*@{ Sub Main QMO.Bnek eyM<#3\\S '用户输入对话框 /\7E&n:)2 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2A>s
a3\ TextBox 220,21,40,21,.TextBox1 'default: 0 e3o?=; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 %XF>k) OKButton 40,91,90,21 "2l$}G CancelButton 190,91,90,21 H$D),s
gv Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 2Dc2uU@`r TextBox 220,49,40,21,.TextBox2 'default: 4 <8J_[
S End Dialog HB|R1<t;HB Dim dlg As UserDialog !841/TR b ?/@U#Qy ok = Dialog (dlg) MUQj7.rNa Jy^.L$bt If ok=0 Then 'cancel button was pressed - uk}Fou Print "Execution cancelled." ]Rk4"i End }}?,({T|n End If )~X.x"}8k #gq!L 'Assign accommodation and pupil diameter & use defaults if field left empty p<Oz"6_/~ If dlg.TextBox1 = "" Then &':Ecmo~` A = 0 'Default accommodation 9Sey&x Else 0<3->uK A = CDbl(dlg.TextBox1) o=zr]vv End If <%Al(Lm0 mz>GbImVD~ If dlg.TextBox2 = "" Then o=]\Jy pupilDiam = 4 'Default pupil diameter !VDNqW Else Be$v%4 pupilDiam = CDbl(dlg.TextBox2) `1`Qu! End If k_?Z6RE> f>CJ1;][{ Print " " >%\&tS' Print "Accommodation = " & A & " Diopters" [d?tf Print "Pupil Diameter = " & pupilDiam & " mm" 7 /6Zp? F
tS"vJ\ ' Calculate new parameters with accommodation :pH3M[7 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ,J&\)
yTP Fp&tJ]=B. Rant = 12.0 - 0.4*A 'Radius of anterior lens {j8M78 }3 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens H`bS::JI-
g)mjw Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \=qZ),bU@ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens +HT?>k p![UO I"W tlens = 3.767 + 0.04*A 'Lens thickness (Q?@LzCjy dW5@Z-9 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /lS5B6NU $TX]*hNn 'Adjust parameters to account for accommodation d-cW47 *'cyFu$ '************************************************************************* T
-p~8=I 'Aqueous thickness (Position of Lens) oTN:Q"oK7? '************************************************************************* k>)Uyw$! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yz<$?Gblz GetCustomElement eID, entity &[z<p 6Z l#$>P parID = FindFullName( "Geometry.Arizona Eye" ) Q?2GwN 3GL,=q ' Delete any shift(s) in z ]!X[[w) count = 0 K>vi9,4/ks While GetOperationCount(eID)>count U#G<cV79 GetOperation eID, count, op .% 79(r^ If op.Type="ShiftZ" Then 2Krh& DeleteOperation eID,count F};T<# count=count-1 ]++,7Z\AU End If YuUJgt .1 count=count+1 &n'@L9v81 Wend 0j :u.x <Uy $b4h 'Set new shift in G1a56TIN~ op.Type = "ShiftZ" YB1Jv[ op.val1 = taq L0)w~F
?m op.parent = parID 2YQ;Kh"S
AddOperation eID, op `>- 56 % Print "Set aqueous humor thickness = " & taq-0.55 PjP6^" Y?6}r;< '************************************************************************* ti^=aB
'Radius and conic constant of anterior lens TbD
$lx3> '************************************************************************* QM24cm
T eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H]}mg='kI GetConic eID, entity, curv, conic NY6;\ 7!n
}X6w" SetConic eID, entity, 1/Rant, CCant }9V0Cu1 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ;$67GK <@$+uZt+ '************************************************************************* Zb7%$1)L~ 'Radius and conic constant of posterior lens CofTTYl '************************************************************************* PpLiH9} eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9PUobV_^Wo GetConic eID, entity, curv, conic Ob/i_ +Ks 3 SetConic eID, entity, 1/Rpost, CCpost cw,|,uXq
6 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost '0=mV"#H{ <TTBIXV '************************************************************************* r>}z|I' 'Lens thickness (Position of posterior lens surface) h$#PboLd '************************************************************************* 82 dmlPwJC $Xh5N3 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) XmP,3KG2{S ^u2x26]. ' Delete any z-shift(s) RBfzti6 count = 0 Y>T<Qn^D While GetOperationCount(eID)>count }G "EdhSl GetOperation eID, count, op W!"Oho' If op.Type="ShiftZ" Then <J>k%,:B DeleteOperation eID,count :r2d%:h%2 count=count-1 ^E_chx-e} End If _f~$iY count=count+1 JAM]neKiX Wend *&tTiv{^ 3mHP=) 'Set new z-shift DS9-i2 op.Type = "ShiftZ" 6HPuCP op.val1 = tlens GO.7IL{{ op.parent = parID Z^BZH/I? AddOperation eID, op P'o]#Az Print "Set lens thickness = " & tlens /'zXb_R,$ -Mf-8zw8G '************************************************************************* =4sx(< 'Lens index of refraction xLb=^Xjec '************************************************************************* 3<l}gB'S[ eID = FindMaterial( "Lens" ) |N}* GetModelMaterial eID, mat 6b%IPbb
7|yEf mat.Nd = nlens (J?_~(,`" SetModelMaterial eID, mat kT]jJbb" Print "Set lens index of refraction = " & nlens z7z9lDS *Z\AO'h=Z '************************************************************************* .2U3_1dX 'Pupil diameter ESk:$`P '************************************************************************* @FZ_[CYg eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #|3,DZ|)F , hrv 'Adjust pupil diameter (trimming volume inner hole) >Q'*~S@v3 D>^g2!b: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" DAg* Pe-rwM ' Adjust pupil location to just in front of the lens cq 5^7. parID = FindFullName( "Geometry.Arizona Eye" ) M]M>z>1*v eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) P_b!^sq9 count = 0 %iME[| u& While GetOperationCount(eID)>count 8GRB6-.h GetOperation eID, count, op `Kn+d~S4 If op.Type="ShiftZ" Then u\MxQIo'u DeleteOperation eID,count zk!7TUZ">w count=count-1 eh>FYx(
S End If .LDp.#d9r1 count=count+1 <o[3*59 Wend 6xAxLZz< op.Type = "ShiftZ" +sTPTCLE op.val1 = taq-0.01 ~g%Ht#< op.parent = parID {LVA_7@ AddOperation eID, op ? HNuffk Sk C.A? Print "Set pupil diameter = " & pupilDiam Vugb;5Vl ,j9? 9Z7R 'Update AZ Eye subassembly Description ,jtaTG.> eID = FindFullName( "Geometry.Arizona Eye" ) pr1bsrMuL GetEntity eID, entity LE)$_i8gX entity.Description = "Accommodation = " & A & "D" I-1NZgv SetEntity eID, entity +S+=lu _
H:9G/Nev Update \{!,a Print "DONE!" z;?j+ZsdH Ycx}FYTY End Sub eE=2~
ylU Rry]6( 如果屈光度是4,光瞳直径是4,则会输出如下数据: `iN\@)E 9[W >`JKo Accommodation = 4 Diopters l]#=I7 6 Pupil Diameter = 4 mm s[dIWYs# Set aqueous humor thickness = 2.81 H'7s`^-
>I Set anterior lens radius = 10.4 and conic constant = -2.375869 _<DOA:'v Set posterior lens radius = -4.424557 and conic constant = -3.081019 qJf\,7mi Set lens thickness = 3.927 $.:x3TsA Set lens index of refraction = 1.42672 %3|/t-US Set pupil diameter = 4 ~)`\j DONE! `m8WLj 2_6ON qX; F+~ QQ:2987619807 _ WPt
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