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简介 Y)HbxFF`/ 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。 "X1vZwK8N q|#MB7e/ 模型 _+QwREP ``4wX-y 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。 a<Uqyilm Z[#IfbYt Table 1. AZ眼睛模型的定义 ija:H'j 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. :iCM=k >Wi s.e%b 光源 -f>'RI95> e1 a*'T$z 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 tm)*2lH6 R9dP ,<2 [B/0-(? 图1. 光源和提示信息使用 \ElX~$fS 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。 TQ9'76INb Bku'H 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。 u}jrfKdE "n?<2
wso 图2. 字母F光源的设定方法光 YB!!/ SX4 Wc'Ehyi; 图3. 字母F在视网膜上位置点列图 L7q | ^` 视网膜的散射 #s"B-sWE ?ApRJm:T 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。 T%I&txl M []OHw 'V!kL,
9ES 图4. 视网膜朗伯散射设定 Vewzo1G2 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。 =MSu3<y, R2^iSl%pj F$Pp]"82'm 图5. 视网膜重点采样规格设定 kV)'a 脚本 0'yyfz ~mH+DV3
内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: J+2R&3;_O `SOhG?Zo 图6. 用户对话框的创建与编辑 0n5UKtB 图7. 用户对话框编辑器 DP>mNE 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 h([0,:\ 余下的脚本计算与屈光度有关的所有参数。 :C%47qv I'IB_YRL4 分析 7%CIt?Z% {
/<4'B 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 oh&Y<d0 <o@ )SD~K 图7. 字母F在视网膜上颜色分析 R<g =\XO'y 脚本代码 BX$hAQ(6Q `pYE[y+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. wItz cY1m hEOJb
@:R Dim entity As T_ENTITY +89o`u_l% Dim op As T_OPERATION v*DFiCQD Dim mat As T_MODELMATERIAL v MWC(m Dim A As Double T 46{*( Dim pupilDiam As Double iEhDaC[e(b Dim eID As Long g{a d0.y, Dim parID As Long tc/ jY]'32 Dim count As Integer M(S{1|,V Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double z(UX't (q Dim tlens As Double, nlens As Double :yD@5) Dim curv As Double, conic As Double 8|<f8Z65! Dim ok As Long
rk|a'& UCF[oO>v Sub Main ):E'`ZP!F IMR$x(g=
F '用户输入对话框 '%O\E{h Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 X,53c$ TextBox 220,21,40,21,.TextBox1 'default: 0 s}!"a8hU` Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 s=j O;K$ OKButton 40,91,90,21 j&}B<f _6J CancelButton 190,91,90,21 Ja=N@&Z# Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 h>Rpb#] TextBox 220,49,40,21,.TextBox2 'default: 4 R7t
bxC End Dialog p,^>*/O> Dim dlg As UserDialog fW[.r== Kf YD+QX@ ok = Dialog (dlg) *EE|?vn "2K|#,%N If ok=0 Then 'cancel button was pressed `R ]&F$i(E Print "Execution cancelled." ^ N_`^m End B2"+Hwbk End If /
GZV_H%v c$.T<r)Z 'Assign accommodation and pupil diameter & use defaults if field left empty &@Yoj %% If dlg.TextBox1 = "" Then lMPbLF%_ A = 0 'Default accommodation +{bh Else 6KBHRt A = CDbl(dlg.TextBox1) N>T=L0` End If vev8l\ w5=EtKTi If dlg.TextBox2 = "" Then Ae3#>[]{ pupilDiam = 4 'Default pupil diameter p!V)55J* Else vKV{
$| pupilDiam = CDbl(dlg.TextBox2) '4Y*-!9 End If 'jwTGT5x )S"o{N3B Print " " /iTH0@Kw; Print "Accommodation = " & A & " Diopters" c{ZqQtfM Print "Pupil Diameter = " & pupilDiam & " mm" fY2l.H\f Is~yVB02 ' Calculate new parameters with accommodation EID(M.G taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness OQ
0b$qw 4>d[qr*< Rant = 12.0 - 0.4*A 'Radius of anterior lens vV2o[\o^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [kQ"6wh8 y& Gw.N}<r Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 9yp^zL CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $Jt8d|UP K T"h74@ tlens = 3.767 + 0.04*A 'Lens thickness Oym]&SrbS ~c'\IM nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction NdaM9a#TZ W'8J<VBD 'Adjust parameters to account for accommodation f2 VpeJ<p y0lL Fe~ '************************************************************************* 1Z=;Uy\ 'Aqueous thickness (Position of Lens) d
u_O} x '************************************************************************* y;*My# eID = FindFullName( "Geometry.Arizona Eye.Lens" ) </~1p~=hAt GetCustomElement eID, entity %,h!: Ec^c !$4Q]@ } parID = FindFullName( "Geometry.Arizona Eye" ) p PU 2ar 30:HRF(: ' Delete any shift(s) in z t4*aVHT count = 0 (p}9^Y While GetOperationCount(eID)>count 6B4hSqjh GetOperation eID, count, op 7UY('Q[ If op.Type="ShiftZ" Then S;G"L$&\ DeleteOperation eID,count QLxXp count=count-1 Ul7,k\q@ End If |v,}%UN2 count=count+1 V/+H_=| Wend F^J&g%ql 6uv'r;U] 'Set new shift in <5C=i:6% op.Type = "ShiftZ" * <Nk%` op.val1 = taq jTGS6{E op.parent = parID g#pIMA#/ AddOperation eID, op >:(6{}b Print "Set aqueous humor thickness = " & taq-0.55 ~M|NzK_9 $L $j
KNwf '************************************************************************* hA$c.jJr.Z 'Radius and conic constant of anterior lens _S[Rvb1e '************************************************************************* $NH`Iu9t eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6tCV{pgm GetConic eID, entity, curv, conic W\ZV0T;<] C{U[w^X SetConic eID, entity, 1/Rant, CCant IX > j8z[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !c3Qcva U:C-\ M '************************************************************************* |~1rKzZwF
'Radius and conic constant of posterior lens OoA5!HEh '************************************************************************* Z)b)v eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) T% jjs GetConic eID, entity, curv, conic @p?b"?QaB !]UU;8h~ SetConic eID, entity, 1/Rpost, CCpost ?kG#qt]Q5 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Vb"T],N1m %m0L!|E '************************************************************************* ~50y- 'Lens thickness (Position of posterior lens surface) c+YYM
:S '************************************************************************* &9GR2GY j.G.Mx" parID = FindFullName( "Geometry.Arizona Eye.Lens" ) iLI.e rm pfT`W T ' Delete any z-shift(s) H_xQ>~b count = 0 .j]OO/, While GetOperationCount(eID)>count x1BDvTqW GetOperation eID, count, op T5X'D(\| If op.Type="ShiftZ" Then HT1dvC$COo DeleteOperation eID,count HCn]# count=count-1 EzeDShN=J End If C$]%1<-Iv] count=count+1
K[3D{= Wend b*F :l# (,)vak&t 'Set new z-shift _sCJ3ZJ op.Type = "ShiftZ" e
P,XH{s op.val1 = tlens Q'%5"&XFD op.parent = parID R)DNFc: AddOperation eID, op WP#_qqO Print "Set lens thickness = " & tlens 0ga1Yr] UHsrZgIRYT '************************************************************************* p.W*j^';Q 'Lens index of refraction 2 |kH% '************************************************************************* W>
-E.#!_ eID = FindMaterial( "Lens" ) y9l.i@-
GetModelMaterial eID, mat M}KM]< c<t3y7 mat.Nd = nlens zi DlJ3]^ SetModelMaterial eID, mat o\:f9JL Print "Set lens index of refraction = " & nlens spoWdRM2 ,VcDvZ7 '************************************************************************* VTgbJ{? 'Pupil diameter (^s_w03 '************************************************************************* &l!{!f4 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) CFS3);'<| O%q;,w{prW 'Adjust pupil diameter (trimming volume inner hole) {dr&46$p Lw+1| SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" yPxG`w' Dy!bj ' Adjust pupil location to just in front of the lens 4\eX=~C>: parID = FindFullName( "Geometry.Arizona Eye" ) nAba
=iW eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) d ;7pri)B count = 0 G*wW&R) While GetOperationCount(eID)>count 1b]PCNz GetOperation eID, count, op GO
GXM4I If op.Type="ShiftZ" Then cTIwA:)D DeleteOperation eID,count +` Y ?- count=count-1 'rq#q)1MT End If *e"GQd? count=count+1 p31rhe Wend g KmRjK op.Type = "ShiftZ" elHarey`f op.val1 = taq-0.01 O[(HE8E op.parent = parID uW--
nXMs AddOperation eID, op j'Q-*-3 5\kZgXWIh Print "Set pupil diameter = " & pupilDiam AL$Ty w5/X{ 'Update AZ Eye subassembly Description kpreTeA] eID = FindFullName( "Geometry.Arizona Eye" ) ;>8TNB e! GetEntity eID, entity $^D(% entity.Description = "Accommodation = " & A & "D" R{Kd%Y:2Y SetEntity eID, entity 5Z1Do^ t~W4o8<w Update 4l!Yop0h Print "DONE!" a:%5.!Vd [W|7r
n,q End Sub ?;#3U5$v hz|z&vyP 如果屈光度是4,光瞳直径是4,则会输出如下数据: 8sjHQ)< o/[yA3^ Accommodation = 4 Diopters Fh4w0u*Q Pupil Diameter = 4 mm PdN\0B` Set aqueous humor thickness = 2.81 kkBV;v%a Set anterior lens radius = 10.4 and conic constant = -2.375869 Oi&w_
Z0 Set posterior lens radius = -4.424557 and conic constant = -3.081019 |iJZC Set lens thickness = 3.927 gx9sBkoq5D Set lens index of refraction = 1.42672 VGUDUM.8 Set pupil diameter = 4 \V-
Y,!~5 DONE! 7<'i #E~ 1YD.jU^;HD (文章来源:讯技光电)
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