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简介 C+uW]]~I) $:%E<j4Dn 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Y*$>d/E w8>h6x" 模型 5e$1KN` );':aXj 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 tH)jEY9 ?"r=08 Table 1. AZ眼睛模型的定义 iX6>u4~( 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. &n
)MGg1% ZaU8eg7 光源 *s*Y uY%y ,bXZ<RY$ 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。
>iae2W` chKK9SC+| y7M{L8{0 图1. 光源和提示信息使用 e~'lWJD 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。 ?T2>juf]5~ E#!!tH`lgg 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。 ^\AeX-q2v' .dk<?BI#H 图2. 字母F光源的设定方法光 k1q/L|') m<hP"j 图3. 字母F在视网膜上位置点列图 m9oOH5@K~ 视网膜的散射 EM*I%|n@m /V:9*C 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。 NDP"
@ :${tts2g Q0Ft.b 图4. 视网膜朗伯散射设定 H#_Zv] 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。 0mujf d(o=)!p ![^pAEgx 图5. 视网膜重点采样规格设定 ~_vSMX 脚本 \jtA8o%n zo(#tQ-'m 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: OALNZKP
2Qp}f^ 图6. 用户对话框的创建与编辑 h9)fXW 图7. 用户对话框编辑器 \4q|Qno8 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。 RkYn6 余下的脚本计算与屈光度有关的所有参数。 Q2VF+g, teg5g|* 分析 G n]qh(N> CpO_p%P 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Zk%@GOu\ Z5>~l 图7. 字母F在视网膜上颜色分析 }+9?)f{?@ 脚本代码 SlG v Kd`(^ Option Explicit 'Remove this to enable non-dimensioned variables to be used. 'd+fGx7i MqnUym Dim entity As T_ENTITY N
$) G8 Dim op As T_OPERATION <bKtAf Dim mat As T_MODELMATERIAL >#|%'Us Dim A As Double ]=00<~ l*q Dim pupilDiam As Double [j+:2@ Dim eID As Long I "AjYv4R Dim parID As Long IC0L&;En Dim count As Integer xmv%O&0^} Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;7lON-@BI Dim tlens As Double, nlens As Double |6*Bu1 Dim curv As Double, conic As Double CJ\a7=*i Dim ok As Long )x|;%.8FX7 {h?pvH_> Sub Main XMuZ}u[U t]LiFpy2IC '用户输入对话框 ^HSxE Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [CI&4) # TextBox 220,21,40,21,.TextBox1 'default: 0 J:m/s9r Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ~?F,kmO}? OKButton 40,91,90,21 ETdXk&AN CancelButton 190,91,90,21 i)o;,~ee Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !CGX \cvW TextBox 220,49,40,21,.TextBox2 'default: 4 K3?5bT_{ End Dialog VGV-t Dim dlg As UserDialog zeHF-_{ lGd'_~'= ok = Dialog (dlg) 7AV{
h[J KNx/1lf If ok=0 Then 'cancel button was pressed zuvPV{
X Print "Execution cancelled." zqeQ End $Z@*!B^ End If hC<ROD _uQ]I^ 'D 'Assign accommodation and pupil diameter & use defaults if field left empty Hb=#` If dlg.TextBox1 = "" Then #d-({blo< A = 0 'Default accommodation y&NqVR= Else nje7?Vz A = CDbl(dlg.TextBox1) ~Ru\Z-q1 End If 4XN
\p )d2Z g If dlg.TextBox2 = "" Then $o[-xNn1 pupilDiam = 4 'Default pupil diameter +/ukS6>gr Else =0)|psCsM pupilDiam = CDbl(dlg.TextBox2) rVz.Ws# End If C}8#yAS9M aA`eKy) \ Print " " +:FXtO>n" Print "Accommodation = " & A & " Diopters" :;+!ID_ Print "Pupil Diameter = " & pupilDiam & " mm" NI V}hf YF 4D?h}U / ' Calculate new parameters with accommodation !mNst$-H4 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness C*Vm}|) 3V k8' Rant = 12.0 - 0.4*A 'Radius of anterior lens VE )D4RL CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3( BL 'c35%?] Rpost = -5.224557 + 0.2*A 'Radius of posterior lens T2e-RR CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens (T%F^s5D KL&/Yt tlens = 3.767 + 0.04*A 'Lens thickness s@\3|e5g v)5;~.+% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction vzIo2,/7 tu
-a`h_NJ 'Adjust parameters to account for accommodation ,h*gd^i n7!T{+ge '************************************************************************* $plk>Khg 'Aqueous thickness (Position of Lens) .|,LBc! '************************************************************************* mfraw2H eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >]h{[kU %4 GetCustomElement eID, entity )CFJXc: *qpu!z2m|| parID = FindFullName( "Geometry.Arizona Eye" ) Cj0r2^` C>Ik ; ' Delete any shift(s) in z -<g9) CV5 count = 0 qed_ PsI While GetOperationCount(eID)>count a~_9BM41T GetOperation eID, count, op 7'\.QJ!< If op.Type="ShiftZ" Then =3bk=vy DeleteOperation eID,count kF|$oBQ count=count-1 Px_8lB/; End If Ng#psN count=count+1 !<w6j-S Wend :\;9y3 I-#!mFl 'Set new shift in L ]')=J+ op.Type = "ShiftZ" DsdM:u*s op.val1 = taq yq~ op.parent = parID '}hSh AddOperation eID, op !:+U-mb* Print "Set aqueous humor thickness = " & taq-0.55 Thggas, o-<i+ To% '************************************************************************* {Ydhplg{ 'Radius and conic constant of anterior lens 5Q10Ohh '************************************************************************* :w^:Z$-hf eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \]x`f3F GetConic eID, entity, curv, conic LK h=jB^bT 0F$|`v"0 SetConic eID, entity, 1/Rant, CCant 534pX7dg Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant t#(NfzN 2"6L\8hd2 '************************************************************************* @fd< 'Radius and conic constant of posterior lens Z!v,;MW '************************************************************************* #]Vw$X_S eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) WAn@8!9 GetConic eID, entity, curv, conic !{&r|6 2f(`HSC' SetConic eID, entity, 1/Rpost, CCpost +wQ5m8E Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N<JI^%HBgP SqAz(( '************************************************************************* I"]E}n d) 'Lens thickness (Position of posterior lens surface) 2tz4Ag '************************************************************************* u$w.'lK whI4@# parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -l=C7e U`*we43 ' Delete any z-shift(s) ihkZs3} count = 0 .\bJ,of9 While GetOperationCount(eID)>count IR/S`HD_ GetOperation eID, count, op xbiprhdv If op.Type="ShiftZ" Then :lu!%p<$ DeleteOperation eID,count |1wZ`wGZ:L count=count-1 UB@(r86d End If {JWixbA count=count+1 i?_Q@uA~<: Wend o9sQ!gptw b8a(.}8* 'Set new z-shift i7H([b<_m op.Type = "ShiftZ" n[/D>Pi op.val1 = tlens rT="ciQ op.parent = parID B+FTkJ0t+G AddOperation eID, op t(}Y /' Print "Set lens thickness = " & tlens 5T/+pC$e= $;g*s?F* '************************************************************************* D u<P^CE 'Lens index of refraction 55v=Ij?M '************************************************************************* Z@q1&}D! eID = FindMaterial( "Lens" ) xEG:KSH GetModelMaterial eID, mat H8HH) ^ 5+GTK)D mat.Nd = nlens 0Cc3NNdz SetModelMaterial eID, mat []OS p& Print "Set lens index of refraction = " & nlens S> Fb'rJ3 OBF M70K '************************************************************************* R1*&rjB 'Pupil diameter NiG&Lw*8 '************************************************************************* aR6~r^jB eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ,>6mc=p 8\il~IFyi 'Adjust pupil diameter (trimming volume inner hole) ~,W|i $jk4H+H- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i@{b+5$ .t^1e ' Adjust pupil location to just in front of the lens &IQNsJL!e parID = FindFullName( "Geometry.Arizona Eye" ) El}~3|a? eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) S?DMeZ{: count = 0 6heK8*.T While GetOperationCount(eID)>count =>*}qen GetOperation eID, count, op k8Dk;N If op.Type="ShiftZ" Then *4 m]UK DeleteOperation eID,count Sn97DCdk count=count-1 :4:U\k;QwA End If KjA7x count=count+1 $1X!Ecq_ Wend ~Q- /O~ op.Type = "ShiftZ" KYhL}C+ op.val1 = taq-0.01 af'ncZ@U op.parent = parID a# 0*#&?7@ AddOperation eID, op *<9M|H~ TbqtT_{ Print "Set pupil diameter = " & pupilDiam ][f 0ZMa 9aID&b+ 'Update AZ Eye subassembly Description rp]H&5.* eID = FindFullName( "Geometry.Arizona Eye" ) _J>Ik2EF GetEntity eID, entity 2Z(?pJyDM entity.Description = "Accommodation = " & A & "D" JWt@vf~ SetEntity eID, entity Y(JZP\Tf_N j1JdG<n Update ,[n=PJVw/ Print "DONE!" lz).=N}m H2_6m5[&, End Sub b^Do[o}5 nCldH|>5w 如果屈光度是4,光瞳直径是4,则会输出如下数据: ?r0>HvUf!l `=TJw,q Accommodation = 4 Diopters LNgFk%EH Pupil Diameter = 4 mm OoOwEV2p_ Set aqueous humor thickness = 2.81 k%RQf0`T Set anterior lens radius = 10.4 and conic constant = -2.375869 [c>YKN2qa Set posterior lens radius = -4.424557 and conic constant = -3.081019 Kt#X'!9/< Set lens thickness = 3.927 eET1f8B=L Set lens index of refraction = 1.42672 -OQ6;A"# Set pupil diameter = 4 t-FrF </0 DONE! %H"AHkge:a
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