|
|
简介 C[<}eD4bV 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。 9gcW; T2MC`s|` 模型 A{
~D_q zPa2fS8 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。 3"7Q[9Oj Ik$$Tn&; Table 1. AZ眼睛模型的定义 eO <N/?t 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. lG\uJxV \ s aV8U7B 光源 Vo@7G@7K( LDc EjFK( 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。 K2zln_W M5ZH6X@5 FC] *^B 图1. 光源和提示信息使用 A.vAk''(}+ 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。 ZKXE7p
i <#h,_WP* 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。 SYYx>1;8` Y7.+
Ma#| 图2. 字母F光源的设定方法光 A7Ql%$v7^ |@u2/U9
图3. 字母F在视网膜上位置点列图 ^A@f{g$KB+ 视网膜的散射 {P8d^=#q y>y2,x+[ 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。 <=">2WP{ f?UI+TU oZiW4z*Wh 图4. 视网膜朗伯散射设定 l&ueD&*4& 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。 9jTBLp-i#N -lhIL}mGf '#f<wfn 图5. 视网膜重点采样规格设定 9 8|sWI3B 脚本 @&}}tALi 8M*+
| 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: 5v)^4(
) SA +d4P_T 图6. 用户对话框的创建与编辑 e,xL~P{| 图7. 用户对话框编辑器 ~#sD2b`0 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。 /aI@2] |~ 余下的脚本计算与屈光度有关的所有参数。 [=>=5'- l<+[l$0# 分析 PY5 &Fwjc }gkLO
TJ/, 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]o<]A[< ipwlP|UjQ5 图7. 字母F在视网膜上颜色分析 /*qRbN 脚本代码 F0<)8{s KV_/fa~Ry Option Explicit 'Remove this to enable non-dimensioned variables to be used. [<#jK}g lnyb4d/ Dim entity As T_ENTITY 9>~pA]j% Dim op As T_OPERATION X<L=*r^C,= Dim mat As T_MODELMATERIAL =\O#F88ui Dim A As Double %]4Tff Dim pupilDiam As Double g{Hgs Dim eID As Long iwK.*07+ Dim parID As Long Z\nDR|3 Dim count As Integer 5bLNQz\WJ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 7[1Lh'u Dim tlens As Double, nlens As Double M@cFcykK Dim curv As Double, conic As Double .^wpfS Dim ok As Long `9^tuR, 4H#-2LV` Sub Main +Uq|Yh'Q Iq+N0G<j '用户输入对话框 RsZj Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 FH=2,"A TextBox 220,21,40,21,.TextBox1 'default: 0 z%D7x5!,R Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 FgH7YkKrD OKButton 40,91,90,21 9^}&PEl CancelButton 190,91,90,21 H>CbMz1u Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 j$)ogGu TextBox 220,49,40,21,.TextBox2 'default: 4 B]X8KzLu End Dialog [Z$H<m{c- Dim dlg As UserDialog iJzBd7 TPN+jK ok = Dialog (dlg) VE+H! ob
A h$02#(RHJ If ok=0 Then 'cancel button was pressed izl6L Print "Execution cancelled." \l59/ZFan End >jI.$%L$ End If 7zG
r+Px g+#awi7 'Assign accommodation and pupil diameter & use defaults if field left empty N9w"Lb If dlg.TextBox1 = "" Then j.q}OK A = 0 'Default accommodation 1 $&@wG Else q/ljH_- A = CDbl(dlg.TextBox1) X!]v4ma` End If u}5CzV ` KqFI2@v
If dlg.TextBox2 = "" Then U ]<l-~| pupilDiam = 4 'Default pupil diameter qfDG.Zee# Else o Xm
! pupilDiam = CDbl(dlg.TextBox2) { M**a End If &r1(1< b >D Print " " fmW{c mr| Print "Accommodation = " & A & " Diopters" Jy(G
A Print "Pupil Diameter = " & pupilDiam & " mm" yx]9rD1cz YlrN^rO ' Calculate new parameters with accommodation 3]*Kz*i taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness G8av5zR 4LTm&+(5 Rant = 12.0 - 0.4*A 'Radius of anterior lens es)^^kGj6f CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Pe_O( x%EGxs;>^ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \FsA-W\X CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens N68mvBe
GLf!i1Z tlens = 3.767 + 0.04*A 'Lens thickness $*0-+h -#ZLu. nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction H,(vTthd ~F,~^r!Jtu 'Adjust parameters to account for accommodation c""&He4zp >$D!mraih '************************************************************************* ~Zr}QO}G 'Aqueous thickness (Position of Lens) FOk&z!xYKd '************************************************************************* m'"r<]pB*4 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y9^l|,bm5 GetCustomElement eID, entity G&*P*f1S
n4{%M parID = FindFullName( "Geometry.Arizona Eye" ) q/b+V)V u$d[&|`>_ ' Delete any shift(s) in z B7f<XBU6> count = 0 vD#U+ While GetOperationCount(eID)>count G0
)[(s GetOperation eID, count, op a`'>VCg If op.Type="ShiftZ" Then t.(
`$ DeleteOperation eID,count Rt#QW*h\|i count=count-1 LSC[S: End If
t;o\"H count=count+1 }B-$} Wend "-&K!Vfs u}%OC43 'Set new shift in MH.+pqIv^ op.Type = "ShiftZ" uRb48Qy2 op.val1 = taq "u6pl);G op.parent = parID H,%bKl# AddOperation eID, op (%B{=w}8 Print "Set aqueous humor thickness = " & taq-0.55 _pTcSp3 E+ /Nicn= '************************************************************************* j=O+U_w 'Radius and conic constant of anterior lens uY5|Nmiu '************************************************************************* p7|I>8ur. eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Jx+6Kq( GetConic eID, entity, curv, conic
9)VAEyv
o
]*yI[\ SetConic eID, entity, 1/Rant, CCant pq)
= Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant }h^
fX _mqU:?Q5 '************************************************************************* dEk#"cvg 'Radius and conic constant of posterior lens jF?0,g '************************************************************************* 3=
=["hO eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 8!2)=8|f GetConic eID, entity, curv, conic
fJ*^4 ":/c|! SetConic eID, entity, 1/Rpost, CCpost `Q*`\-8J Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 4FaO+Eo,8 77M!2S_E '************************************************************************* RW&o3_Ua 'Lens thickness (Position of posterior lens surface) 6u"wgX]H '************************************************************************* 8w:ay,= ~<_#%R! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) cP?GRMX@} 4np2I~ ! ' Delete any z-shift(s) ]H/,Q6Q count = 0
AOg'4 While GetOperationCount(eID)>count *y4g\#o. GetOperation eID, count, op VZqCFE3 If op.Type="ShiftZ" Then ={BC0, DeleteOperation eID,count YhH3f VM count=count-1 nFlN{_/ End If *)Pm count=count+1 WHC/'kvF Wend EGD{nE u{4P)DIQ 'Set new z-shift c^w^'< op.Type = "ShiftZ" 7g*!6-W[ op.val1 = tlens FsqH:I4O op.parent = parID Zz} o t AddOperation eID, op r%;|gIky Print "Set lens thickness = " & tlens (A?>U_@ __}SHU0R '************************************************************************* 9Z-2MF 'Lens index of refraction 0o8`Y '************************************************************************* CG%bZco(( eID = FindMaterial( "Lens" ) nT|WJ% GetModelMaterial eID, mat CNRSc4Le q;9X8 _ mat.Nd = nlens QDxs+<# SetModelMaterial eID, mat G+=Gc(J Print "Set lens index of refraction = " & nlens ;SXkPs3q 2(d '************************************************************************* T}!9T!(HdF 'Pupil diameter L!JC)p. '************************************************************************* `RY}g; eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 76T7<.S ]ttF''lH 'Adjust pupil diameter (trimming volume inner hole) #bt z94/~O o+x%q<e;c SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" B6F!" UovN"8W+ ' Adjust pupil location to just in front of the lens }h1BAKg parID = FindFullName( "Geometry.Arizona Eye" ) fOMaTnm' eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p{oz}} count = 0 vs8[352 While GetOperationCount(eID)>count -Jd7 GetOperation eID, count, op |gV~U~A] If op.Type="ShiftZ" Then 6`2i'flv DeleteOperation eID,count OX.5olb count=count-1 yPmo1|'X>d End If \2u7>fU! count=count+1 Jm ,:6T Wend `u3kP op.Type = "ShiftZ" 8T"L'{ggWB op.val1 = taq-0.01 qdQ4%,E[ op.parent = parID y={ k7 AddOperation eID, op UZ/LR +m
J G:n Print "Set pupil diameter = " & pupilDiam JRBz/ j vgc~%k62c 'Update AZ Eye subassembly Description 8/2Wq~& eID = FindFullName( "Geometry.Arizona Eye" ) y:\<FLR}j GetEntity eID, entity dZ"}wKbO entity.Description = "Accommodation = " & A & "D" u"5/QB{ SetEntity eID, entity #U0| j?!D e|C2/U- Update 3T(ft^~ Print "DONE!" >? o5AdZ >CG;df<~ End Sub At>e4t2@ &5jc
&CS 如果屈光度是4,光瞳直径是4,则会输出如下数据: u9:sj 2KXFXR Accommodation = 4 Diopters 4qDa:D"5 Pupil Diameter = 4 mm fBTNI`# Set aqueous humor thickness = 2.81 .z
CkB86 Set anterior lens radius = 10.4 and conic constant = -2.375869 $
^)g, Set posterior lens radius = -4.424557 and conic constant = -3.081019 @/aJi6d"^E Set lens thickness = 3.927 9Cd=^Im5 Set lens index of refraction = 1.42672 no\G
># Set pupil diameter = 4 y-@`3hYM@ DONE! KdiJ'K. 8F\'?7 (文章来源:讯技光电)
|