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简介 1'Rmg\( oQ\&}@(V 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。 <( EyXV DW>ES/B8$( 模型 f@d9Hqr+l; ,EI:gLH 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/qG`W O m9jtWk Table 1. AZ眼睛模型的定义 ($8t%jVWJJ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Da_()e[9p u okc:D 光源 -{{[cTI C?o6(p"b 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 |>+uw|LtZ uR:rO^ I 8zG~L%" 图1. 光源和提示信息使用 hqDqt"dKz 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 '3Q3lM'lh 8:dQ._#v 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 #]Y*0Wzpfn snC/H G7 图2. 字母F光源的设定方法光 {v,)G)obWw "@yyXS
r 图3. 字母F在视网膜上位置点列图 x-;`-Uo% 视网膜的散射 [>Fm[5x pW|u P8# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Zh'&-c_J *x(Jq?5O7X pj8azFZ 图4. 视网膜朗伯散射设定 ?fK1 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 J=H)JH3 ?obm7< :_HF j.JW 图5. 视网膜重点采样规格设定 izwUS!5e 脚本 -6C +LbV Mu&x_&| 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: d5!!Ut 27#5y_
` 图6. 用户对话框的创建与编辑 `^6 ,kI-c 图7. 用户对话框编辑器 [po "To 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 fY W|p<Q0 余下的脚本计算与屈光度有关的所有参数。 e.vtEQV9
xDjV`E] 分析 mYv(R!37' lm0N5(XP 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0xMj=3'] {y-^~Q"z 图7. 字母F在视网膜上颜色分析 g0&\l}&%U 脚本代码 5kMWW*Xtf ,D=fFpn Option Explicit 'Remove this to enable non-dimensioned variables to be used. |FNCXlgZ Nneo{j Dim entity As T_ENTITY K7(MD1tk Dim op As T_OPERATION l"pN90B4 Dim mat As T_MODELMATERIAL ;_+uSalt Dim A As Double l=={pb Dim pupilDiam As Double MesRa( Dim eID As Long qJv[MBjk3B Dim parID As Long \ |!\V Dim count As Integer ))T>jh Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #R&H&1 Dim tlens As Double, nlens As Double 8P: spD0 Dim curv As Double, conic As Double wCKj7y[ Dim ok As Long PK2~fJB u8L$]vOg Sub Main .~D>5 JnEk %,q.),F '用户输入对话框 `V!>J1x Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 B80aw>M TextBox 220,21,40,21,.TextBox1 'default: 0 >U!*y4 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }
cNW^4F OKButton 40,91,90,21 7hw .B'7 CancelButton 190,91,90,21 l*=aMjd? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N{Qxq>6 G TextBox 220,49,40,21,.TextBox2 'default: 4 ip:LcG t End Dialog *_-'/i Dim dlg As UserDialog <V&5P3)d9 zJN7<sv ok = Dialog (dlg) iCQ>@P]nE L^`}J7r If ok=0 Then 'cancel button was pressed ,xi({{L* Print "Execution cancelled." ]uh3R{a/ End `BXS)xj End If R9o- `Wz Gh(
A%x) 'Assign accommodation and pupil diameter & use defaults if field left empty Xyx"A(v^l If dlg.TextBox1 = "" Then l.=p8-/$'7 A = 0 'Default accommodation N_gD>6I Else | A)\
: A = CDbl(dlg.TextBox1) ^TdZ*($5 End If e":G*2a k!L@GQ If dlg.TextBox2 = "" Then *%FA:Y pupilDiam = 4 'Default pupil diameter gE7L L=x Else x!<yT?A pupilDiam = CDbl(dlg.TextBox2) zw@'vncc End If EG<s_d? @x&P9M0g Print " " X` YwP/D Print "Accommodation = " & A & " Diopters" 8{
c !). Print "Pupil Diameter = " & pupilDiam & " mm" HL K@xKD< Sm{>rR ' Calculate new parameters with accommodation t#E}NR taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness fxQN+6; #
TkR Rant = 12.0 - 0.4*A 'Radius of anterior lens A<MtKb
CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens H*I4xT@ 2[yBD-": Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Am4lEvb CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %eWqQ3{P] ))h6~1` tlens = 3.767 + 0.04*A 'Lens thickness <yUstz,Xu^ :$3oFN*g nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ~aK?cP [\z/Lbn
,. 'Adjust parameters to account for accommodation e /K#>, 6QQfQ, '************************************************************************* 2'0K WYM 'Aqueous thickness (Position of Lens) NZLAk~R;0 '************************************************************************* kSncZ0K{ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) R!\EKH GetCustomElement eID, entity \_6OC Vil +>f<EPGn parID = FindFullName( "Geometry.Arizona Eye" ) j7QX,_Q vG41C k1 ' Delete any shift(s) in z (=x"Y{% count = 0 /+K? While GetOperationCount(eID)>count \E1U@6a GetOperation eID, count, op je,}_:7 If op.Type="ShiftZ" Then %q3$|> DeleteOperation eID,count p*QKK@C count=count-1 dI'SwnR End If CB\{! count=count+1 }ut]\]b Wend 7*o*6,/ v-j3bB 'Set new shift in YvL?j op.Type = "ShiftZ" z9/G4^qF op.val1 = taq 9=l.T/?sf op.parent = parID R[tC^]ai AddOperation eID, op Dr<='Ux[5 Print "Set aqueous humor thickness = " & taq-0.55 \*T"M*; }ET,ysa '************************************************************************* UPU+ver 'Radius and conic constant of anterior lens >TL^>D '************************************************************************* Tb;d.^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 5f'DoT GetConic eID, entity, curv, conic ;!>Wz9 &n2e SetConic eID, entity, 1/Rant, CCant ='?:z2lJ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant oih5B<&f# t:~t@4j} '************************************************************************* xg`h40c 'Radius and conic constant of posterior lens q Dd~2"er '************************************************************************* Nil}js27 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bp<^R GetConic eID, entity, curv, conic |`k
.y]9 @r^!{ SetConic eID, entity, 1/Rpost, CCpost pE]?x$5U Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost % ~]xuP[ e'*HS7g '************************************************************************* `1` f*d
v 'Lens thickness (Position of posterior lens surface) g:ErZ;[ '************************************************************************* ~!iQ6N?PY I_)*)d44_ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~^I>#Dd qZk'tRv ' Delete any z-shift(s) rsNf$v-* count = 0 9W7#u}Z While GetOperationCount(eID)>count D0G-5}s` GetOperation eID, count, op %u\26[/ If op.Type="ShiftZ" Then +%>:0mT DeleteOperation eID,count 9v)%dO. count=count-1 %y[1H5)3< End If WKM)*@#, count=count+1 .9G<y 4 Wend .\3`2 eJ8]g49mD6 'Set new z-shift * A|-KKo\ op.Type = "ShiftZ" 10[Jl5+t op.val1 = tlens [s1pM1x op.parent = parID Z,7R;,qX AddOperation eID, op Cr/`keR Print "Set lens thickness = " & tlens DC+wD
Bp; F N[R(SLbL '************************************************************************* -<_$m6x"A 'Lens index of refraction 's
x\P[a '************************************************************************* we7c`1E eID = FindMaterial( "Lens" ) KU9Z"9# GetModelMaterial eID, mat Xk mQBV" NmIHYN3 mat.Nd = nlens ,1{Ep` SetModelMaterial eID, mat h&@R| N Print "Set lens index of refraction = " & nlens ]uL+&(cr uwIc963 '************************************************************************* V,v[y\ 'Pupil diameter #.B"q:CW*P '************************************************************************* 4pU>x$3$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) )U<Y0bZA! a?5[k}\ 'Adjust pupil diameter (trimming volume inner hole) 7Du1RuxP NVV}6TUV SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" kdx
y\
jA %bXtKhg5eJ ' Adjust pupil location to just in front of the lens ?/*~;fM parID = FindFullName( "Geometry.Arizona Eye" ) 1M3%fW eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) qf)$$ qi count = 0 Wo$%9!W While GetOperationCount(eID)>count Ei>m0
~<\ GetOperation eID, count, op H(^bC5' If op.Type="ShiftZ" Then %i0?UpA DeleteOperation eID,count Br>Fpe$q4 count=count-1 36m5bYMd) End If xgsjm)) count=count+1 SU _SU". Wend gieJ}Bv op.Type = "ShiftZ" :7N3N op.val1 = taq-0.01 }f>H\iJe op.parent = parID $WQq?1.9 AddOperation eID, op cFd
>oDS %!Q`e79g8 Print "Set pupil diameter = " & pupilDiam <msxHw 2i#Sn' 1 'Update AZ Eye subassembly Description G`=r^$.3WB eID = FindFullName( "Geometry.Arizona Eye" ) w>?Un,K GetEntity eID, entity -5G)?J/* entity.Description = "Accommodation = " & A & "D" OU DcY@x~ SetEntity eID, entity H %f:K2 IputF<p Update Pj#'}ru! Print "DONE!" %rKK[ vW,snxK6y& End Sub 5m$2Ku >"X\>M`" 如果屈光度是4,光瞳直径是4,则会输出如下数据: Ac k}QzXO hm$X]H`uMX Accommodation = 4 Diopters [BbutGvj Pupil Diameter = 4 mm c2SC|s] Set aqueous humor thickness = 2.81 U4?(A@z9^ Set anterior lens radius = 10.4 and conic constant = -2.375869 Doze8pn Set posterior lens radius = -4.424557 and conic constant = -3.081019 +';>=hha Set lens thickness = 3.927 {0\,0*^p Set lens index of refraction = 1.42672 Z-=YM P ]Q Set pupil diameter = 4 kQdt}o]) DONE! V)o,1
6&v?)o 0CvsvUN@ QQ:2987619807 vy@rQC %9
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