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简介 A:N!H_x 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。 |%$d/<<PZ |>VHV} 4)< 模型 Y~Zg^x2 A=BpB}b 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 I(<1-3~ ^c+6? Table 1. AZ眼睛模型的定义 kD2MqR> 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. zm"& 8/l /bg8oB4 光源 s*rtm WMrK8e' 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 =_=jXWOQv |U12fuQ yl|+D] 图1. 光源和提示信息使用 t,+p!"MRY 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 aRfkJPPa[ OG0ro(|dI 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 =w,%W^"E AlGD .K 图2. 字母F光源的设定方法光 2N `Vx3 76xgExOU?C 图3. 字母F在视网膜上位置点列图 AQ@A$ 视网膜的散射 k?1cxY s @ -g^R4e< 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。 Wu%;{y~#} ("wPkm^ HH8a"Hq) 图4. 视网膜朗伯散射设定 ?^0#:QevC 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。 lAV6z%MmM d7P|
x $O7>E!uVD 图5. 视网膜重点采样规格设定 *COr^7Kf5 脚本 Ix-FJF- IB(5 &u. 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: SC"=M^E
`<q{8 图6. 用户对话框的创建与编辑 *(s)CWf 图7. 用户对话框编辑器 %]RzC`NZ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 c7'I'~ 余下的脚本计算与屈光度有关的所有参数。 zLC\Rc4 ]`]m41+w 分析 5>"-lB & `fc2vaSH = 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 !dStl:B "P'W@ 图7. 字母F在视网膜上颜色分析 ;g7nG{ 脚本代码 -.i1l/FzP #2{ };) Option Explicit 'Remove this to enable non-dimensioned variables to be used. IgQW 5E# )#M*@e$k Dim entity As T_ENTITY r68'DJ&m3 Dim op As T_OPERATION pX*Oc6.0mu Dim mat As T_MODELMATERIAL \P+lb-~\" Dim A As Double 2Cj?k.Zk Dim pupilDiam As Double rW&8#& Dim eID As Long `4gm'C Dim parID As Long +wgNuj0=* Dim count As Integer [#$z.BoEo Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (KK9/k Dim tlens As Double, nlens As Double jun>(7 Dim curv As Double, conic As Double Q Y/36gK Dim ok As Long w-"o?;)a wBA[L}
Sub Main /`Yp]l U;LbP-{B '用户输入对话框 K9;pX2^z9 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 v;80RjPy> TextBox 220,21,40,21,.TextBox1 'default: 0 k]] (I<2 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ix=HLF-0zC OKButton 40,91,90,21 1ZOHyO CancelButton 190,91,90,21 9pb4!=g* Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k "LbB#Q TextBox 220,49,40,21,.TextBox2 'default: 4 ?ye)& End Dialog `u3to{ Dim dlg As UserDialog 6NVf&;laQ >c|u|^3zt ok = Dialog (dlg) ,q] Wi# AhZ8B'Ee If ok=0 Then 'cancel button was pressed xVao3+r Print "Execution cancelled." >sv| End N X4!G>v End If %`t;5kmR Qv,8tdx 'Assign accommodation and pupil diameter & use defaults if field left empty BQ2EDy=}6 If dlg.TextBox1 = "" Then @kK${ A = 0 'Default accommodation }xJ9EE*G/ Else rZ/,^[T A = CDbl(dlg.TextBox1) )cNG)F End If b*LEoQSl0V S 0eD
2 If dlg.TextBox2 = "" Then D642}VD pupilDiam = 4 'Default pupil diameter 7afD^H% Else qOVs9'R pupilDiam = CDbl(dlg.TextBox2) Wky=]C% End If ?dP3tLR )sWdN(E3 Print " " lG;RfDI- Print "Accommodation = " & A & " Diopters" % <
D Print "Pupil Diameter = " & pupilDiam & " mm" Fy3&Emu ??5qR8n. ' Calculate new parameters with accommodation .9_]8T taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 3
[: x#r >Ip>x!wi Rant = 12.0 - 0.4*A 'Radius of anterior lens PdcF CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens qRT1W re
3 :[z=u Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Gnop CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Y
O;N9wu3f Pf5RlpL:p tlens = 3.767 + 0.04*A 'Lens thickness |q"WJQ B- =*"H?q nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +h_'hz&HlS #m{K 'Adjust parameters to account for accommodation /~)vma1< {|=
8wB '*************************************************************************
{Hm0 Q 'Aqueous thickness (Position of Lens) _IBIx\F '************************************************************************* ?W-J2tgss{ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) C8>zr6)1
GetCustomElement eID, entity ,rVm81-2 R
h zf.kp parID = FindFullName( "Geometry.Arizona Eye" ) 'yxRz5 H6X]D"Y, ' Delete any shift(s) in z ]S4 TX count = 0 0Po",\^ While GetOperationCount(eID)>count KSU?Tg&JR GetOperation eID, count, op -fIX6 If op.Type="ShiftZ" Then QNj hA '[T DeleteOperation eID,count ":E
7#9 count=count-1 ?3~]H End If m,NUNd#)\ count=count+1 G{
~pA4 Wend 5 fY\0 xzTTK+D@ 'Set new shift in o ?@,f/"5 op.Type = "ShiftZ" V1 T?T9m op.val1 = taq k0~mK7k op.parent = parID ZnSDq_Uk AddOperation eID, op 3on]#/"1b Print "Set aqueous humor thickness = " & taq-0.55 ieXhOA ]4wyuP,up '************************************************************************* &^$dHr6v 'Radius and conic constant of anterior lens vJ9Uw '************************************************************************* ~&B{"d eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) N)|mA)S) GetConic eID, entity, curv, conic w=5 D>] u&Ts'j SetConic eID, entity, 1/Rant, CCant ,DsqKXSU Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant T^.;yU_B? YSERQo '*************************************************************************
T[*1*303 'Radius and conic constant of posterior lens , tJ%t# '************************************************************************* mpfc2>6Il. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) "\M16N GetConic eID, entity, curv, conic bE:oF9J? Q SPneYD SetConic eID, entity, 1/Rpost, CCpost 17g\XC@ Cl Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost I@IZ1
/J,r ;1PnbU b '************************************************************************* `(s&H8x# 'Lens thickness (Position of posterior lens surface) $GhdH) '************************************************************************* d\&{Ev9v 4TcKs}z parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZYDLl8 nI4Kuz`dF ' Delete any z-shift(s) @b[{.mU count = 0 )N h67P3X" While GetOperationCount(eID)>count :ad GetOperation eID, count, op W FVx7 If op.Type="ShiftZ" Then , 6 P:S7 DeleteOperation eID,count (XW\4msB)I count=count-1 *6D0>F End If hbm%{*d count=count+1 K P{|xQ> Wend :{@&5KQ8) x_Zi^ ] 'Set new z-shift 0G`_dMN op.Type = "ShiftZ" 2@K D
'^( op.val1 = tlens `B6~KZ op.parent = parID e~C5{XEE AddOperation eID, op 9}p>=' Print "Set lens thickness = " & tlens n,D~ whZx faQ}J%a '************************************************************************* j\l9|vpp 'Lens index of refraction V5w00s5?% '************************************************************************* K%AbM#o< eID = FindMaterial( "Lens" ) YjaEKM8* GetModelMaterial eID, mat [>+R|;ln VN!`@Ci/ mat.Nd = nlens Hl`S\ SetModelMaterial eID, mat PwP;+R};| Print "Set lens index of refraction = " & nlens K;,zE6WD$$ 4q sIJJ[. '************************************************************************* z}I =: 'Pupil diameter htC~BK3( '************************************************************************* ?sfas57&y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7)&}riQ `-a](0QU 'Adjust pupil diameter (trimming volume inner hole) Q72}V9I9 o5=1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" J2A+x\{< 8m%+O# ' Adjust pupil location to just in front of the lens )~/;Xl#b- parID = FindFullName( "Geometry.Arizona Eye" ) irj{Or^k eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e$HN/O count = 0 #oBM A While GetOperationCount(eID)>count P$LHsg] GetOperation eID, count, op zN}1Qh If op.Type="ShiftZ" Then <T] BSQk DeleteOperation eID,count QTZfe<m0 count=count-1 (
R2432R}J End If /^_~NF# count=count+1 5G5P#<Vv Wend qKoD*cl)Za op.Type = "ShiftZ" tQ!p<Q=
$) op.val1 = taq-0.01 @J J,$? op.parent = parID Axb,{X[6g AddOperation eID, op 0\fV'JDOR ,w>WuRN" Print "Set pupil diameter = " & pupilDiam LxD >eA u,h ,;'J 'Update AZ Eye subassembly Description fL^+Qb} eID = FindFullName( "Geometry.Arizona Eye" ) h)S223[ GetEntity eID, entity $ =
uz entity.Description = "Accommodation = " & A & "D" h#_KO-#.[ SetEntity eID, entity w-f[h {+D
6o Update )6K Q"* Print "DONE!" ]/byz_7] lw/zgR#| End Sub 06hzCWm# 5R^e 如果屈光度是4,光瞳直径是4,则会输出如下数据: &8kc0Z@y 3&H#LGoV$ Accommodation = 4 Diopters +Fn^@/?yC Pupil Diameter = 4 mm ryhme\%l;f Set aqueous humor thickness = 2.81 Kob i! Set anterior lens radius = 10.4 and conic constant = -2.375869 kjCXP Set posterior lens radius = -4.424557 and conic constant = -3.081019 |>w>}w`~ Set lens thickness = 3.927
pwj ? Set lens index of refraction = 1.42672
t9zPUR Set pupil diameter = 4 1oD1ia# DONE! a4'KiA2r 2'R;z<_ (文章来源:讯技光电)
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