|
|
简介 "<Q,|Md 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。 H[e=^JuD ?]]7PEee* 模型 voitdz K1oSoD8c 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。 1Y6DzWI mE)I(< % Table 1. AZ眼睛模型的定义 1:j[p=Q& 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. -"}mmTa*< 6qF9+r&e? 光源 J9V,U;"\ Rch?@O#J 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。 ~6!TMVr J};=)xLX; ~/R bYvyA 图1. 光源和提示信息使用 p3W-*lE 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。 g54b}vzm F4|U\,g 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。 ^)%TQ. RK\$>KFE 图2. 字母F光源的设定方法光 8Rr ic[v }M|,Z'@* 图3. 字母F在视网膜上位置点列图 S uo 视网膜的散射 i!7|YAu YacLYo# 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。 "b
`R_gG9 AD0pmD ~^ ^|]s3 图4. 视网膜朗伯散射设定 vNIQ1x5Za 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。 T*bBw nm{J 0NFYFd-50 图5. 视网膜重点采样规格设定 =&-+{txs 脚本 NA-)7i*>J 3OvQ,^[J4 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: @";zM& aS)Gj?Odf 图6. 用户对话框的创建与编辑 y=qiGi[Nc 图7. 用户对话框编辑器 UR'P, 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。 _gn`Y(c$% 余下的脚本计算与屈光度有关的所有参数。 N^@aO&+A >oasA2S 分析 P; DGs]PF o >?#$~XNv 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @@~Ql :J~sz)n4 图7. 字母F在视网膜上颜色分析 #57D10j 脚本代码 0hoi=W6AQ $9Pscu bM4 Option Explicit 'Remove this to enable non-dimensioned variables to be used. ])D39 $`'Xb Dim entity As T_ENTITY vq;_x Dim op As T_OPERATION m0[JiwPI Dim mat As T_MODELMATERIAL d"~-D; Dim A As Double ;Q8LA",5d Dim pupilDiam As Double *-lw2M9V Dim eID As Long :}{,u6\ Dim parID As Long uYy&<_r Dim count As Integer @/ G$
C9< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double us$=)m~v+ Dim tlens As Double, nlens As Double (sN;B) Dim curv As Double, conic As Double {wy#HYhv Dim ok As Long 8D5v'[j- _YPu Sub Main rFl6xM;F `zjbyY '用户输入对话框 'A)r)z{X Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 DB>.Uf" TextBox 220,21,40,21,.TextBox1 'default: 0 /+g)J0u Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 KXvBJA$ OKButton 40,91,90,21 >xK!J?!K CancelButton 190,91,90,21 SM1[)jZ- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +L>?kr[i[ TextBox 220,49,40,21,.TextBox2 'default: 4 h&O8e;S# End Dialog gkRbb
Dim dlg As UserDialog "79"SSfOc MzX4/*ba ok = Dialog (dlg) } Rs@ jc-$l If ok=0 Then 'cancel button was pressed hsE Q6 Print "Execution cancelled." ,'z=cB`+o End HI%#S&d End If c$AwJhl^] @teNT" 'Assign accommodation and pupil diameter & use defaults if field left empty Kh,zp{ If dlg.TextBox1 = "" Then +#=l{_Z,ZJ A = 0 'Default accommodation dRu|*s Else [rf.& A = CDbl(dlg.TextBox1) >cYYr@S End If <WCTJ!Z jGaI6G'N If dlg.TextBox2 = "" Then k<i#agq pupilDiam = 4 'Default pupil diameter H(,D5y`k1 Else ne-;gTP; pupilDiam = CDbl(dlg.TextBox2) Vb$4'K' End If `%nj$-W: j$mCU? Print " " OS7^S1r- Print "Accommodation = " & A & " Diopters" hUO&rov3@ Print "Pupil Diameter = " & pupilDiam & " mm" @24)*d^1 g+ P
' Calculate new parameters with accommodation \2huDNW&
! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 3wf&,4`EX fOtzbYVC Rant = 12.0 - 0.4*A 'Radius of anterior lens |z%:{ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ?D8+wj 1p }:K`#{ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens zc#$hIi CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens " _{o}8L d@aPhzLu tlens = 3.767 + 0.04*A 'Lens thickness N_^s;Qj I?Fv!5p nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction %{*)-_M l:$i}.C 'Adjust parameters to account for accommodation 5?M d '#Pg:v_ '************************************************************************* U2TR>0l 'Aqueous thickness (Position of Lens) H\!p%Y '************************************************************************* M*n@djL$\~ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) k/]4L!/ T GetCustomElement eID, entity SG@-b( I`-N]sf^ parID = FindFullName( "Geometry.Arizona Eye" ) :y%CP8 "s3eO ' Delete any shift(s) in z mNDz|Ln count = 0 }{#ty uzAo While GetOperationCount(eID)>count K#_x.:<J GetOperation eID, count, op PbpnjvVrM If op.Type="ShiftZ" Then GX-V|hLaGX DeleteOperation eID,count Z?"f# count=count-1 (eEs0 End If W3aFao>!OZ count=count+1 /.m&rS Wend U?.cbB, q47:kB{d 'Set new shift in 1
|T{RY5 op.Type = "ShiftZ" !${7 )=|=1 op.val1 = taq 14Y<-OO:
k op.parent = parID & cV$`L AddOperation eID, op M|DVFC Print "Set aqueous humor thickness = " & taq-0.55 +$y%H
BWG*UjP
M '************************************************************************* qGVf!R 'Radius and conic constant of anterior lens %!X9>i> '************************************************************************* X" m0|| eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 97 eEqI$# GetConic eID, entity, curv, conic 0tb%h[%,M RJhafUJ zH SetConic eID, entity, 1/Rant, CCant h}$g}f%$+ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant INjr$'* Ef~Ar@4fA '************************************************************************* -'%>Fon 'Radius and conic constant of posterior lens Ql8s7 % '************************************************************************* kVeR{i<*( eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) R!Lh~~@{( GetConic eID, entity, curv, conic 'JK"3m}nT l2Pry'3 SetConic eID, entity, 1/Rpost, CCpost G~mLc Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ($or@lfs c0aXOG^ '************************************************************************* ;eY.4/*R 'Lens thickness (Position of posterior lens surface) K6d2}!5 '************************************************************************* W{W8\ dYxX%"J parID = FindFullName( "Geometry.Arizona Eye.Lens" ) z&KrG v1O 1-aM ' Delete any z-shift(s) UI%Z`.& count = 0 Qo$j'|lD While GetOperationCount(eID)>count Mv?$zV"`# GetOperation eID, count, op ic;M=dsh: If op.Type="ShiftZ" Then Cno+rmsfT DeleteOperation eID,count #UesXv count=count-1 1"yr`,}?8r End If }5]2tH${ count=count+1 &,8F!)[9 Wend z)Gd3C fK{m7?V 'Set new z-shift slTE. op.Type = "ShiftZ" e%_J
O7 op.val1 = tlens C116c" op.parent = parID SUC'o" AddOperation eID, op F?+\J =LT Print "Set lens thickness = " & tlens mJNw<T4!/ 'zhv#&O '************************************************************************* E! GH$%:; 'Lens index of refraction ;V0^uB.z '************************************************************************* cw"Ou% eID = FindMaterial( "Lens" ) L+.&e4f'oj GetModelMaterial eID, mat >r\q6f#J4 lW|`8ykp mat.Nd = nlens Bw/8-:eb SetModelMaterial eID, mat 1Eh6ti Print "Set lens index of refraction = " & nlens (Cb;=:3G MSaOFv_Q '************************************************************************* H@!]5 <:9 'Pupil diameter lc[)O3,,B '************************************************************************* 363KU@` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _J"fgxW eXQLE]L] 'Adjust pupil diameter (trimming volume inner hole) iY*fp=c9 +3F%soum95 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" $W]}m"l Jo''yrJpB ' Adjust pupil location to just in front of the lens RJ1@a parID = FindFullName( "Geometry.Arizona Eye" ) Dv"HFQuF eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) s[bQO1g;* count = 0 J'C9}7G While GetOperationCount(eID)>count = glF6a GetOperation eID, count, op b/"gUYo If op.Type="ShiftZ" Then i_(6}Y& DeleteOperation eID,count ShesJj count=count-1 c!ieN9^+ End If fSVb.MZa7 count=count+1 ,@kLH"a0 Wend $p|Im, op.Type = "ShiftZ" s}F.D^^G op.val1 = taq-0.01 m6uFmU*<M} op.parent = parID k8c(|/7d AddOperation eID, op #y-R*4G Cto>~pV Print "Set pupil diameter = " & pupilDiam GTM@9^ zY9CoadZ 'Update AZ Eye subassembly Description h
S)lQl:^ eID = FindFullName( "Geometry.Arizona Eye" ) z HT#bP:o GetEntity eID, entity &=]!8z= entity.Description = "Accommodation = " & A & "D" lVCnu>8 SetEntity eID, entity ,bzC|AK UD=[::## Update jO-T1P']Y Print "DONE!" ~BiLzT1, OS-k_l L End Sub ,BFw-A M`n0
qy 如果屈光度是4,光瞳直径是4,则会输出如下数据: RzU9]e Z((e-T#, Accommodation = 4 Diopters tA]u=-_h Pupil Diameter = 4 mm .'>d7 Set aqueous humor thickness = 2.81 cJf&R^[T Set anterior lens radius = 10.4 and conic constant = -2.375869 h=Q2
?O8 Set posterior lens radius = -4.424557 and conic constant = -3.081019 n&,X']z. Set lens thickness = 3.927 P?^%i Set lens index of refraction = 1.42672 osc A\r Set pupil diameter = 4 pk`5RDBu DONE! X.sOZb?$ \l%##7DRp] (文章来源:讯技光电)
|