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简介 7&2CLh T^@P.zX 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。 \tfhF#' |?LUt@r; 模型 ]GiDfYs7% K 5AArI 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。 uDMyO<\ ui&^ m, Table 1. AZ眼睛模型的定义 a;v;% rs 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. A}CpyRVCn y^:6D(SR 光源 KV|ywcGhT "v+%F 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。 +IM6 GeH $ItPUYi"; q;<Q-jr&O 图1. 光源和提示信息使用 -O6\!Wo=- 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 *oru;=D@8 E#`JH 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 hQLh}}B t_iZ\_8 图2. 字母F光源的设定方法光 Dl_SEf6b S^ JUQx7 图3. 字母F在视网膜上位置点列图 HE*P0Yf= 视网膜的散射 h<FEe~ EK}QjY[i 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 i; 3qMBVY~ 6gD|QC~; C72btS
图4. 视网膜朗伯散射设定 C<hb{$@ 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。 0zqTX< A qR8 BS4q_p -P$E)5?^ 图5. 视网膜重点采样规格设定 G2hBJTW 脚本 jAOD&@z1 #*;Nb 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: .iH#8Z
!@@rO--& 图6. 用户对话框的创建与编辑 ?r}!d2:dX 图7. 用户对话框编辑器 BXX1G 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ` L?9-)m<f 余下的脚本计算与屈光度有关的所有参数。 Q)ZkUmW Z.mnD+{ 分析 ;@I}eZ,f$ 0%5x&vx'S 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 \ /6m 8Zvh"Z? 图7. 字母F在视网膜上颜色分析 >jBnNA@ 脚本代码 IP+1 :M pI{s
)|" Option Explicit 'Remove this to enable non-dimensioned variables to be used. s*W)BK|+? 1Qgd^o:d Dim entity As T_ENTITY 1~ZKpvu Dim op As T_OPERATION POvpaPAZ< Dim mat As T_MODELMATERIAL s\i.pd:Q Dim A As Double QtsyMm Dim pupilDiam As Double
Ss{
Dim eID As Long Eb=;D1)y] Dim parID As Long 3a#j&] Dim count As Integer n)rF!a Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double O5p]E7/e Dim tlens As Double, nlens As Double fO{E65uA Dim curv As Double, conic As Double AAt<{ Dim ok As Long ?#X`Eu aXefi'!6 Sub Main g_w4}!|
6'N!)b^- '用户输入对话框 Q{Lsr, Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 5-pz/%, TextBox 220,21,40,21,.TextBox1 'default: 0 O[fgn;@| Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 DeTZl+qm1E OKButton 40,91,90,21 GQ8r5V4: CancelButton 190,91,90,21 .o5r;KD Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !j.jvI%e; TextBox 220,49,40,21,.TextBox2 'default: 4 _A.?:'- End Dialog 20f):A6 Dim dlg As UserDialog /< CjBW: 4r [Tpb ok = Dialog (dlg) (N\Zz*PLz /Iu._2 If ok=0 Then 'cancel button was pressed fE/8;v!= Print "Execution cancelled." jsvD[ \P End y]`@%V2P End If #YSUPO%F
<&'r_m 'Assign accommodation and pupil diameter & use defaults if field left empty [\&Mo]"0 If dlg.TextBox1 = "" Then ]-aeoa# A = 0 'Default accommodation $|YIr7?R Else uOrvmb A = CDbl(dlg.TextBox1) bMD'teJ End If %?EOD=e= "ppT<8Qi' If dlg.TextBox2 = "" Then TPds )osZT pupilDiam = 4 'Default pupil diameter SS;QPWRZ Else 'gojP pupilDiam = CDbl(dlg.TextBox2) FZ/l
T-" End If <nj[=C4v %zyMWC Print " " (K+TqJw Print "Accommodation = " & A & " Diopters"
Xze Print "Pupil Diameter = " & pupilDiam & " mm" >1tGQ
cg J7.bFW' ' Calculate new parameters with accommodation OR^Wd taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness y=\jQ6Fc Sh]x`3 ). Rant = 12.0 - 0.4*A 'Radius of anterior lens kI3-G~2 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens l1N{ujM >{4pEy Rpost = -5.224557 + 0.2*A 'Radius of posterior lens tGd<{nF% 2 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens IR%a+;Xs C<fNIc~. tlens = 3.767 + 0.04*A 'Lens thickness d#a Prhq ~oI4 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction )
ZOmv Vrz!.X~ 'Adjust parameters to account for accommodation >UJ&noUD#: _:'m/K3Ee '************************************************************************* B:z -?u#B 'Aqueous thickness (Position of Lens) ok\+$+$ju '************************************************************************* gqD`1/ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) gH\r# wy| GetCustomElement eID, entity 9rao&\eH /@RnCjc' parID = FindFullName( "Geometry.Arizona Eye" ) 2a=WT`xf? 2,&lGyV# ' Delete any shift(s) in z *!9/`zW count = 0 2c%}p0<;|? While GetOperationCount(eID)>count d=qpTb;( GetOperation eID, count, op RC (v#G If op.Type="ShiftZ" Then hCT%1R}rKr DeleteOperation eID,count u."fJ2}l0X count=count-1 kM3BP&
3m1 End If 4Ro(r
sO count=count+1 R[&lk~a{= Wend qqzQKN r$v?[x>+K 'Set new shift in Lf 0Hz") op.Type = "ShiftZ" 1wc
-v@E op.val1 = taq 6eDIS|/ op.parent = parID 6>=>Yj AddOperation eID, op 4nl>&AV Print "Set aqueous humor thickness = " & taq-0.55 E;4Ns @IiT8B '************************************************************************* M2@q{RiS 'Radius and conic constant of anterior lens 50DPzn '************************************************************************* 4(aesZ8h eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) K%=n \Y GetConic eID, entity, curv, conic WQ5sC[& Ab2g),;c SetConic eID, entity, 1/Rant, CCant uAvs Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant H;sQ]:.*] Ve8! '************************************************************************* k@8#By l| 'Radius and conic constant of posterior lens mzT} C&hfP '************************************************************************* k9Sqp:l, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) (J$A GetConic eID, entity, curv, conic "}OFwes Y$ChMf SetConic eID, entity, 1/Rpost, CCpost Oq[E\8Wn Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 4|$D.`Wu :):Y6)giBD '************************************************************************* Eq8OAuN 'Lens thickness (Position of posterior lens surface) `C*!de]Y% '************************************************************************* $k`8Zx w 7
YK+TGmU^ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) \4j+pU ]F@md(J ' Delete any z-shift(s) *c AoE l count = 0 (j~V While GetOperationCount(eID)>count YjX=@ GetOperation eID, count, op ]JD$fS=_ If op.Type="ShiftZ" Then ^mum5j DeleteOperation eID,count 87^
4", count=count-1 *cf"l End If '.K,EM!-~h count=count+1 %b{!9-n} Wend q9
;\B& bY2Mw8e% 'Set new z-shift !n{c#HfG op.Type = "ShiftZ" gPwp
[ op.val1 = tlens
?:FotnU*p op.parent = parID JG<3,>@% AddOperation eID, op KB"iF}\P0 Print "Set lens thickness = " & tlens AfEEYP)N Lq [wabF '************************************************************************* OV/FQH;V 'Lens index of refraction ^97ZH)Ww '************************************************************************* $McO'Bye{h eID = FindMaterial( "Lens" ) 3EZw F GetModelMaterial eID, mat _B1uE2j9 +wUhB\F
* mat.Nd = nlens Dy@\!F SetModelMaterial eID, mat A C^[3 Print "Set lens index of refraction = " & nlens rl^LSz 8QN8bGxK '************************************************************************* |d5L
Ifb( 'Pupil diameter (7b_g6>: '************************************************************************* 3kQ ^f=Wd eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e1loI8 %^l&fM* 'Adjust pupil diameter (trimming volume inner hole) 4:@|q:DR n`}&,UA$4 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5lxq-E3 +=h!?<*C8 ' Adjust pupil location to just in front of the lens GzXP parID = FindFullName( "Geometry.Arizona Eye" ) #5C3S3e= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) H ZLOn count = 0 D&r8V;G[[ While GetOperationCount(eID)>count
)M N
yOj GetOperation eID, count, op sOxdq"E If op.Type="ShiftZ" Then m[{&xF|_ DeleteOperation eID,count y:OywIi( count=count-1 Hm*vKFhz End If (A'q@-XQ count=count+1 sYA-FO3gh Wend 1:!rw,Jzl` op.Type = "ShiftZ" \.1b\\ op.val1 = taq-0.01 4@e!D Du op.parent = parID ];d:z[\P AddOperation eID, op N#)VD\m ?+O|mX}`- Print "Set pupil diameter = " & pupilDiam LXC`Zq\ 5SL>q`t.bd 'Update AZ Eye subassembly Description I*t)x,~3 eID = FindFullName( "Geometry.Arizona Eye" ) >v_5xd9 GetEntity eID, entity +Jka :]MW! entity.Description = "Accommodation = " & A & "D" ]XGn2U\ SetEntity eID, entity 4D8y b|o DsW`V~T Update V&oT':%q Print "DONE!" IaTq4rt *@arn Eu End Sub y}-S~Ov>I !J=;Z9 如果屈光度是4,光瞳直径是4,则会输出如下数据: !-RpRRR[Co @
KPv&UB Accommodation = 4 Diopters ^1,Eo2yN Pupil Diameter = 4 mm @*"<U] Set aqueous humor thickness = 2.81 <SM&VOiaOz Set anterior lens radius = 10.4 and conic constant = -2.375869 q AVfbcb Set posterior lens radius = -4.424557 and conic constant = -3.081019 g}
~<!VpX Set lens thickness = 3.927 ;k&k#>L!K Set lens index of refraction = 1.42672 (bFWT_CChz Set pupil diameter = 4 ,c7u DONE! EOnp!]Y KaQq[a yFU2'pB QQ:2987619807 l&sO?P[ /
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