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简介 Vp|2w lFE- 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。 Cq-hPa}2 Y=AH%Gy9) 模型 +G<}JJ'V &/ \O2Aw8 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。 Cw6>^ -FQC9~rR;g Table 1. AZ眼睛模型的定义 976E3u"Vt 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. d&/^34gn =AWX
+znP 光源 UAnB=L,.\ kTr6{9L 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。 @~JB\j9 Rbx97(wK n/ui<&( 图1. 光源和提示信息使用 >`<Ued 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。 X(4s;i J@oEV=L 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。 7xX;MB& "2*G$\ 图2. 字母F光源的设定方法光 :&xz5c`"04 AQE
eIFH 图3. 字母F在视网膜上位置点列图 JQ~y- lt 视网膜的散射 }rO?5 5oVLv4Z9u 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。 RpBiE8F4 $KoPGgC[ x, G6\QmA 图4. 视网膜朗伯散射设定 <9Lv4`]GU5 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 t#fs:A7P?} &{X{36 m-:8jA? 图5. 视网膜重点采样规格设定 +P>Gy`D9 脚本 L~@ma(TV{K yd7lcb
[ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: \4[c}l +AE&GU 图6. 用户对话框的创建与编辑 *ge].E 图7. 用户对话框编辑器 k! J4Z${k 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。 TYs+XJ'Xj 余下的脚本计算与屈光度有关的所有参数。 Q%M'[L?[ 1{SrHdD= 分析 <_##YSGh, !yoSMI- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Ha46U6_'h ti$oZ4PpF 图7. 字母F在视网膜上颜色分析 !^c:'I>~ 脚本代码 Y|{r
vBKjf b&\3ps Option Explicit 'Remove this to enable non-dimensioned variables to be used. '5|Q<5!o W?*Xy6",JF Dim entity As T_ENTITY I-RdAVB/Ep Dim op As T_OPERATION zWCW: dI Dim mat As T_MODELMATERIAL tc+GR?-7W Dim A As Double ga4/, Dim pupilDiam As Double (z8]FT Dim eID As Long -/(DPx Dim parID As Long 3q~":bpAp Dim count As Integer Q3<bC6$r Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Y9IJ Dim tlens As Double, nlens As Double t9Enk!@ Dim curv As Double, conic As Double %NF<bEV Dim ok As Long =oL8d6nI 4A\BGD*5 Sub Main |i,zY{GI+2 /3CHE8nSh '用户输入对话框 nx!qCgo Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 =:xV(GK} TextBox 220,21,40,21,.TextBox1 'default: 0 2*~JMbm Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 R-r+=x& OKButton 40,91,90,21 %Y)PH-z CancelButton 190,91,90,21 Zu2m%=J` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 fZka%[B TextBox 220,49,40,21,.TextBox2 'default: 4 ?$"x^=te7 End Dialog Hrd5p+j Dim dlg As UserDialog jRv;D#Hp _~X8/p/Qh ok = Dialog (dlg) ^%K1R; +z]:CF If ok=0 Then 'cancel button was pressed lfU"SSQ Print "Execution cancelled." Z^/z End G"T;l"TAt8 End If gmF_~"^34
D\45l 'Assign accommodation and pupil diameter & use defaults if field left empty <;$Sa's,LE If dlg.TextBox1 = "" Then <r_P?
lZW A = 0 'Default accommodation I2t-D1X Else 1=9qAp;?o A = CDbl(dlg.TextBox1) OCbQB5k3 End If UA69_E{JCH .G5NGB If dlg.TextBox2 = "" Then rQd1Ch pupilDiam = 4 'Default pupil diameter Jf%!I Else dvg; pupilDiam = CDbl(dlg.TextBox2) mr{k>Un\ End If ++J Bbuzj! XhlI|h-j Print " " ZXssvjWQV} Print "Accommodation = " & A & " Diopters" [3{:H"t Print "Pupil Diameter = " & pupilDiam & " mm" )o
" SB1 .-C+0L1j ' Calculate new parameters with accommodation _H^^2#wc/ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ),D`ZRXS h8iaJqqvJ Rant = 12.0 - 0.4*A 'Radius of anterior lens ohQz%?r CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 0,vj,ic*WX I&'S2=s Rpost = -5.224557 + 0.2*A 'Radius of posterior lens F- !}dzO CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens zn2"swhq\V 75hFyh;u tlens = 3.767 + 0.04*A 'Lens thickness MYDf`0{$_a dN$D6* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction M/8#&RycQ
O)$N}V0 'Adjust parameters to account for accommodation =\Tud-1Z k2_6<v
Z '************************************************************************* Gg}LC+Y 'Aqueous thickness (Position of Lens) =B/s HN '************************************************************************* gNEzlx8A eID = FindFullName( "Geometry.Arizona Eye.Lens" ) w{YtTZp3 GetCustomElement eID, entity cdek^/ VuO) parID = FindFullName( "Geometry.Arizona Eye" ) (04j4teE Kd`l[56# ' Delete any shift(s) in z ~u?x{[ count = 0 A3
Rm0 While GetOperationCount(eID)>count W{$+mow7S GetOperation eID, count, op
FM;;x(sg If op.Type="ShiftZ" Then TeGLAt
DeleteOperation eID,count 3-9J"d! count=count-1 xyz\;3 End If \J3v>&m<7 count=count+1 ys.!S.k+ Wend %`s9yRk9>E dp// p)B> 'Set new shift in }'w^<:RSy op.Type = "ShiftZ" P5
<85t op.val1 = taq qs8K jG@ op.parent = parID x%:>Ol AddOperation eID, op x
w?9W4< Print "Set aqueous humor thickness = " & taq-0.55 a`h$lUb- R<0!?`b '************************************************************************* h>L6{d1 'Radius and conic constant of anterior lens [r/Seg" '************************************************************************* JI[rIL\Ey eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) fbx;-He! GetConic eID, entity, curv, conic +poIgjq0 j_ywG{Jk SetConic eID, entity, 1/Rant, CCant ++p&
x{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant %.6?\w1e *> &N
t '************************************************************************* 9^Vx*KVrU 'Radius and conic constant of posterior lens d,Dg"Z '************************************************************************* c;t(j'k` eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )Ido|!]0d GetConic eID, entity, curv, conic \'^Z_6{w o7 -h'b- SetConic eID, entity, 1/Rpost, CCpost NM.f0{:cj Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k`4\.m"& B,VSFpPx '************************************************************************* $O]E$S${ 'Lens thickness (Position of posterior lens surface) #35S7G^ @` '************************************************************************* L&gEQDPgq| W%jX- parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?BWvF]p5/ tgF(=a]o ' Delete any z-shift(s) OHtZ"^YG count = 0 [>]VN)_J5 While GetOperationCount(eID)>count '`goy%Wd GetOperation eID, count, op b8b PK< If op.Type="ShiftZ" Then :PjUl DeleteOperation eID,count $d??( count=count-1 e[k;SSs End If 2DBFXhP count=count+1 pt|$bU7 Wend ~PAbLSL*u VV}fW"_ND 'Set new z-shift 4oaP"T@6 op.Type = "ShiftZ" ,"MUfZ op.val1 = tlens v%8-Al^G op.parent = parID y@8399;l AddOperation eID, op +uGP(ONY Print "Set lens thickness = " & tlens #y9K-}u me`$5Z` '************************************************************************* I3[RaZ2z{ 'Lens index of refraction +fQ$~vr{' '************************************************************************* Ug'nr eID = FindMaterial( "Lens" ) LAVt/TcZS| GetModelMaterial eID, mat "s6_lhu=E7 u(G;57ms mat.Nd = nlens ;51!aC SetModelMaterial eID, mat eEZlVHM;O Print "Set lens index of refraction = " & nlens md
+`#-D\O fF]&{b~wk '************************************************************************* F-\8f(\ 'Pupil diameter z^HlDwsbm '************************************************************************* P;91C'T-x eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Qc<O; # G@I_6cE 'Adjust pupil diameter (trimming volume inner hole) iuk8c.TAR GDQg:MgX SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2F@<{v4 3UtXxL&L` ' Adjust pupil location to just in front of the lens mt]YY<l parID = FindFullName( "Geometry.Arizona Eye" ) L$?~TY eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) iwTBE]J count = 0 $mg h.3z0 While GetOperationCount(eID)>count z)y(31K<1 GetOperation eID, count, op \hD
bv5 If op.Type="ShiftZ" Then 9v3Nba DeleteOperation eID,count MJR\ g3 count=count-1 "&o@%){] End If 5<8>G?Y count=count+1 <@ex})su Wend CbaAnm1 op.Type = "ShiftZ" ^
J@i7FOb op.val1 = taq-0.01 90696v. op.parent = parID "1 TM AddOperation eID, op I:)#U[tn0 eOO*gM= Print "Set pupil diameter = " & pupilDiam WjxBNk'f F88SV6 'Update AZ Eye subassembly Description \bmboNe eID = FindFullName( "Geometry.Arizona Eye" ) ^
/eSby GetEntity eID, entity Ps 5wQaS entity.Description = "Accommodation = " & A & "D" NW
Qu-]P SetEntity eID, entity UdgI<a~`k6 }nERQq&A Update ]`U?<9~Ob Print "DONE!" 1,D
^, u"$HWB~@z End Sub d"uM7PMs7x qGUe0( 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,(?4T~ F9%VyQf Accommodation = 4 Diopters v"TH[}C9D Pupil Diameter = 4 mm xH-k~# Set aqueous humor thickness = 2.81 2*E<G|-F Set anterior lens radius = 10.4 and conic constant = -2.375869 K4L#%KUPW Set posterior lens radius = -4.424557 and conic constant = -3.081019 R.$Y1=U6 Set lens thickness = 3.927 e%7P$. Set lens index of refraction = 1.42672 UsKn4Kh Set pupil diameter = 4 5 :> DONE! *3oQS"8 wpMQ 7:j (文章来源:讯技光电)
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