|
简介 HZm
i? 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。 A!D:Kc3
]Rye AJ3 模型 1FJ[_l rTm{-b)r 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。 64lEB>VNm Ig<p(G.;} Table 1. AZ眼睛模型的定义 [!le 9aNg 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. )
b10%n^ 2X*<Fma3C 光源 W,~1KUTc ~D5MAEazS 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。 G|lI=Q3f K5>:WiY `$H 图1. 光源和提示信息使用 62jA 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。 :#}`uR,D/ vR$5ItnT 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。 ?~.&Y ?nW#qy!R 图2. 字母F光源的设定方法光 { 9 ".o, ra>`J_ 图3. 字母F在视网膜上位置点列图 qfu2}qUX~% 视网膜的散射 ku?_/-ko] .@Uz/j?> 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。 E5 oD|'=WA u`@f~QP0 zfb _ ) 图4. 视网膜朗伯散射设定 BUinzW z{a 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。 f'O vG@ YZRB4T9 }yw;L(3 图5. 视网膜重点采样规格设定 Jt6J'MOq 脚本 LFyceFbm ~ fEs!hl 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: 1omvE9
%zM ^4pKsO3ul 图6. 用户对话框的创建与编辑 TEyx((SK 图7. 用户对话框编辑器 yrAzD= 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。 j7#GqVS' 余下的脚本计算与屈光度有关的所有参数。 5iddB $ _a$DY,; 分析 4D$sFR|?t oxQID 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 WgJAr73
l @z)tC@ 图7. 字母F在视网膜上颜色分析 jHlOP,kc 脚本代码 G*i# \ { $/Fk6qr Option Explicit 'Remove this to enable non-dimensioned variables to be used. G.nftp(*} / 7X dV Dim entity As T_ENTITY t *
vg]Yc Dim op As T_OPERATION arS'th:j Dim mat As T_MODELMATERIAL C'/M/|=Q# Dim A As Double xg,]M/J Dim pupilDiam As Double yI.H4Dl< Dim eID As Long ZT"|o\G^Q Dim parID As Long <nTmZ-; Dim count As Integer WG/J4H`Od Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double V/}>>4 Dim tlens As Double, nlens As Double #oJbrh9J6 Dim curv As Double, conic As Double cJ##K/es Dim ok As Long ;Z1U@2./ ?ZHE8 Sub Main ~Oq,[,W $dTfvd '用户输入对话框 t 9n Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Cxk$"_ TextBox 220,21,40,21,.TextBox1 'default: 0 !N8)C@= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {IPn\Bka OKButton 40,91,90,21 &lPBqw CancelButton 190,91,90,21 7s8<FyFsjd Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1
n22hVw TextBox 220,49,40,21,.TextBox2 'default: 4 B_"OA3d_ End Dialog 4nII/cPG Dim dlg As UserDialog R^yZG{?t y|;8 :b32 ok = Dialog (dlg) ~"q,<t vN,}aV2nq If ok=0 Then 'cancel button was pressed oIvnF:c Print "Execution cancelled." cxD}t'T End L);||]B End If 7t-*L}~WA YKe0:cWc 'Assign accommodation and pupil diameter & use defaults if field left empty [p W1=tI If dlg.TextBox1 = "" Then -[=AlqL A = 0 'Default accommodation oBj>9I; Else I,<>%Z|' A = CDbl(dlg.TextBox1) RZd4(7H=q End If p_5>?[TW: }^pQbFku If dlg.TextBox2 = "" Then X(!AI|6Bt pupilDiam = 4 'Default pupil diameter hr<7l
C Else yF/< : pupilDiam = CDbl(dlg.TextBox2) u3M`'YCb End If <RoX| zJw O,=Q1*c,& Print " " v$)@AE Print "Accommodation = " & A & " Diopters" JMirz~%ib Print "Pupil Diameter = " & pupilDiam & " mm" yL;o{
G YMj7 ' Calculate new parameters with accommodation s3Krob`C5 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;WvYzd9 68p\WheCal Rant = 12.0 - 0.4*A 'Radius of anterior lens ?)?IZ Qj CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens KkdG.c' jMf 7J Rpost = -5.224557 + 0.2*A 'Radius of posterior lens !bZhj3. CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens r*i$+ Z "rjv5*z^& tlens = 3.767 + 0.04*A 'Lens thickness 'YZI>V* ~'^!udF- nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^_*jp[!`b$ x2j/8]'o 'Adjust parameters to account for accommodation -7-Fd_F8 5W[3_P+ '************************************************************************* j8[`~pb 'Aqueous thickness (Position of Lens) ]cF1c90% '************************************************************************* W(uP`M%][0 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) VY+(,\)U GetCustomElement eID, entity x{NNx:T1 U`bC>sCp parID = FindFullName( "Geometry.Arizona Eye" ) cg(QjH" +CnyK(V ' Delete any shift(s) in z <qbZG}u count = 0 Kk!6B While GetOperationCount(eID)>count JCw{ ?^F" GetOperation eID, count, op ;[{:'^n If op.Type="ShiftZ" Then g.[+yzuE6 DeleteOperation eID,count Y<p zy8z count=count-1 -1jjB1 End If |8&-66pX count=count+1 T!u'V'Ei2 Wend CRZi;7`*1 2
) TG 'Set new shift in CrnB{Z4L op.Type = "ShiftZ" CS~=Z>6EjA op.val1 = taq 94T}iY. op.parent = parID to99_2 AddOperation eID, op KWFyw>*) Print "Set aqueous humor thickness = " & taq-0.55 Sk8%(JD7 \We"?1^ '************************************************************************* `fQM 'Radius and conic constant of anterior lens 'RDWU7c9] '************************************************************************* La`h$=#` eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) IXGW2z; GetConic eID, entity, curv, conic -M"IVyy@ E4Y"X SetConic eID, entity, 1/Rant, CCant qTyg~]e9( Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N=>- Q) eQ$N:] '************************************************************************* x S 'Radius and conic constant of posterior lens iKg75%;t '************************************************************************* 0Vf)Rw1%I
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0-*Z<cu%l GetConic eID, entity, curv, conic !+m@AQ:, .D+RLO z SetConic eID, entity, 1/Rpost, CCpost ]}BB/KQy^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost FQ+8J 7 ? ouV '************************************************************************* (FM4 ^#6 'Lens thickness (Position of posterior lens surface) ,/~[S '************************************************************************* YV*b~6{d pPoH5CzcK parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .j:i&j( [!^cd%l ' Delete any z-shift(s) s>T`l count = 0 2bWUa~%B While GetOperationCount(eID)>count 3f_i1|>)' GetOperation eID, count, op ]} '^` If op.Type="ShiftZ" Then mRCHrw?WG DeleteOperation eID,count rqF"QU= l count=count-1 (G#}* End If >&BrCu[u count=count+1 H \ 3M Wend ~NxEc8Y iu+3,]7Fm 'Set new z-shift !;i*\
a op.Type = "ShiftZ" .%_)*NUZ op.val1 = tlens pqJ)G;%9 op.parent = parID Z
#EvRC AddOperation eID, op P2Onkl Print "Set lens thickness = " & tlens CQ<8P86gt |B
eA== '************************************************************************* 0Su_#".-* 'Lens index of refraction %8
qSv%_ '************************************************************************* l1}R2lSEO eID = FindMaterial( "Lens" ) Khj=llo, GetModelMaterial eID, mat 3)y{n%3L ?!H)zz6y mat.Nd = nlens @.k5MOn SetModelMaterial eID, mat ovz# Print "Set lens index of refraction = " & nlens zHV|-R > =Jsv '************************************************************************* i-,'.w 'Pupil diameter C,.-Q"juH '************************************************************************* ms7SoYbSu eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) h`lmC]X_ U,HIB^=
R 'Adjust pupil diameter (trimming volume inner hole) 8^y= H= ?ZaD=nh$mK SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O] H=s N#UXP5C( ' Adjust pupil location to just in front of the lens z>|)ieL parID = FindFullName( "Geometry.Arizona Eye" ) `dO}L eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !y%+GwoW count = 0 _jmkl
B While GetOperationCount(eID)>count 7G"7wYc>R GetOperation eID, count, op odpUM@OAW If op.Type="ShiftZ" Then -E]Sk&4Gj DeleteOperation eID,count b_l3+'#ofM count=count-1 ]H+{eJB7O End If 0I
@$ 0Gg count=count+1 "J!}3)n Wend {`F1u?l op.Type = "ShiftZ" U*qNix op.val1 = taq-0.01 -;>#3O- op.parent = parID ib]vX- AddOperation eID, op (z2Z)_6L*L MRs,l' Print "Set pupil diameter = " & pupilDiam 74_xR ~:EW>Fq%i 'Update AZ Eye subassembly Description O3Uh+gKQ eID = FindFullName( "Geometry.Arizona Eye" ) qg4fR' i GetEntity eID, entity YjLe(+WQ entity.Description = "Accommodation = " & A & "D" U CRAw3= SetEntity eID, entity -`Q}tg>cT HIGNRm Update > :Ze4}( Print "DONE!" DbtF~`3, . 8*s7m End Sub g~!$i`_b xGRT"U( 如果屈光度是4,光瞳直径是4,则会输出如下数据: ^=0$ )o jDRJ& Accommodation = 4 Diopters _]=9#Fg7{ Pupil Diameter = 4 mm mM5|K@0| Set aqueous humor thickness = 2.81 /C$
xH@bb Set anterior lens radius = 10.4 and conic constant = -2.375869 aD ESr? Set posterior lens radius = -4.424557 and conic constant = -3.081019 @]=f?+y[ 2 Set lens thickness = 3.927 +9[SVw8 Set lens index of refraction = 1.42672 :6lwO%=F Set pupil diameter = 4 s<&[\U DONE! gvyT-XI 5+K;_) (文章来源:讯技光电)
|