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简介 k=}hY+/= 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。 LLiX%XOh p10->BBg 模型 {wySH[V g=Jfp$*[ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 DK;-2K u)-l+U. Table 1. AZ眼睛模型的定义 )&K%Me 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. |Sm/Uq(c
KW\`&ki 光源 zT"#9"[" x`&W[AA4 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 Sb.;$Be5g 3@*8\ uQCS%|8C 图1. 光源和提示信息使用 ~7g6o^A> 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。 Y!zlte|P =9-c*bL 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。 Q>$v~v?9 PR0]:t)E 图2. 字母F光源的设定方法光 =8-e1R/ tEl_A"^e 图3. 字母F在视网膜上位置点列图 lKcnM3n
视网膜的散射 KC'{>rt7 va\cE*,@ns 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。 q=U=Y
n 2cL<` '4EJ_Vhztc 图4. 视网膜朗伯散射设定 L`6`NYR 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。 Wp $\> ?uQpt( -VL3em|0 图5. 视网膜重点采样规格设定 r.[k D"l 脚本 E@p9vf-> u56cT/J1 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: G6FknYj rnUe/HjH 图6. 用户对话框的创建与编辑 oT
OMqR{" 图7. 用户对话框编辑器 (Q&Z/Fe 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 70@:!HI] 余下的脚本计算与屈光度有关的所有参数。 occ}|u {dDU^7O 分析 [LE_lATjU K7|BXGL8r8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 U<$ |ET' *:iFhKFU 图7. 字母F在视网膜上颜色分析 74_ji! 脚本代码 gO29:L[t 9"[#\TW9Vb Option Explicit 'Remove this to enable non-dimensioned variables to be used. YvonZ ]*).3<Lw Dim entity As T_ENTITY lq74Fz&( Dim op As T_OPERATION o}BaZ|iZ2 Dim mat As T_MODELMATERIAL WE\V<MGS/ Dim A As Double IIzdCa{l Dim pupilDiam As Double z?7pn}- Dim eID As Long b$hQB090 Dim parID As Long ?(Nls.c Dim count As Integer /) N[tv2 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double >5\rU[H> Dim tlens As Double, nlens As Double
Re`= B Dim curv As Double, conic As Double ne%ckW?ks Dim ok As Long qSON3Iid SKGYmleR Sub Main {B34^H: =4G9ev
4 '用户输入对话框
W<t,Ivg Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9i n& \ TextBox 220,21,40,21,.TextBox1 'default: 0 N
G4wtDa Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 f -bVcWI OKButton 40,91,90,21 P:=3;d{v CancelButton 190,91,90,21 I%|W
O*x Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 }2}hH0R TextBox 220,49,40,21,.TextBox2 'default: 4 h/d&P End Dialog |VIBSty2d Dim dlg As UserDialog t<rhrW75P -YD6 ok = Dialog (dlg) )]'?yS" (V*ggii@ If ok=0 Then 'cancel button was pressed tR1
kn&w Print "Execution cancelled." I_4'9 End tJc9R2 End If -rUn4a _jp8;M~Z 'Assign accommodation and pupil diameter & use defaults if field left empty uGOvZO^v If dlg.TextBox1 = "" Then `zF=h#i A = 0 'Default accommodation 0]&~ddL Else S7@.s`_{w A = CDbl(dlg.TextBox1) V1M oW;& End If q*8^938 '6WaG
hvO If dlg.TextBox2 = "" Then n>{>3? pupilDiam = 4 'Default pupil diameter +v/_R{ M Else *:wu{3g}M` pupilDiam = CDbl(dlg.TextBox2) w[t!?(![> End If p "u5wJ_ A~u-Iv(U Print " " .xS}/^8iD Print "Accommodation = " & A & " Diopters" K[O'@v Print "Pupil Diameter = " & pupilDiam & " mm" vk&C'&uV9@ b k 30d ' Calculate new parameters with accommodation k1W
q$KCwG taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <rNCb; 1 %K^(J; Rant = 12.0 - 0.4*A 'Radius of anterior lens [;%qxAB/_ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens d
H]'&&M "*a^_tsT?i Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <GT&q <4w CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ZBi|BD j'g':U tlens = 3.767 + 0.04*A 'Lens thickness %&0_0BU UoCFj2?C nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction se2ay_<F+ a!vF;J-Zqa 'Adjust parameters to account for accommodation 6x7pqHM {dTtYL$'" '************************************************************************* >8\EdN59{ 'Aqueous thickness (Position of Lens) Q0s!]Dk '************************************************************************* |p}qK
Fdi eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0x*L"HD GetCustomElement eID, entity D<78Tm
x 2Ck'A0d parID = FindFullName( "Geometry.Arizona Eye" ) 1--_E,Su> \L Gj]mb1 ' Delete any shift(s) in z :_X9x{ count = 0 gmd-$%" While GetOperationCount(eID)>count gP:mZ7 GetOperation eID, count, op ~RgO9p(dY If op.Type="ShiftZ" Then wGr5V! DeleteOperation eID,count T*e>_\Tx count=count-1 5srj|'ja End If $)8b)Tb count=count+1 Y%m^V?k Wend =8#$'1K,v {a;my"ly 'Set new shift in ?VaWOwWI op.Type = "ShiftZ" qVjl8%) op.val1 = taq {]ie|>'=C op.parent = parID lC):$W AddOperation eID, op /i.3v45t" Print "Set aqueous humor thickness = " & taq-0.55 8&+m5xS x=s=~cu4, '************************************************************************* OFH!z{* 'Radius and conic constant of anterior lens pu3ly&T#a_ '************************************************************************* tn>z%6;&Z eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) <_(UAv GetConic eID, entity, curv, conic {kVhht]X 9=D09@A%e SetConic eID, entity, 1/Rant, CCant W(.q.Sx> Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant F-0 |&0
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'************************************************************************* anxZ|DE 'Radius and conic constant of posterior lens t|XQFb@} '************************************************************************* Cp {
j+Ia eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) jr,j1K@_t GetConic eID, entity, curv, conic *>"k/XUn$ BUhLAO
SetConic eID, entity, 1/Rpost, CCpost St 4YNS.| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost `q":i>FP2 JzI/kH~ '************************************************************************* y{{7)G 'Lens thickness (Position of posterior lens surface) EdgcdSb7 '************************************************************************* I#?NxP\S A 9\]y%! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) *|97 g*G( ~m@v ~= ' Delete any z-shift(s) X=_`$
0 count = 0 5BWO7F0v" While GetOperationCount(eID)>count (x"TM),Q GetOperation eID, count, op tw{V7r~n If op.Type="ShiftZ" Then r92C^h0 DeleteOperation eID,count y<#?z 8P count=count-1 9'tOF End If >U?U;i count=count+1 0uZ 'j Wend B{`4"uEb$G kta`[%KmIZ 'Set new z-shift AC'$~4 op.Type = "ShiftZ" 7=Vs1TVc op.val1 = tlens ZMFV iE;8 op.parent = parID ~x}/>-d AddOperation eID, op <]9%Pm#X Print "Set lens thickness = " & tlens Nw74T L!fiW`>0G '************************************************************************* _hK83s4 'Lens index of refraction I)9un|+,y '************************************************************************* ah1DuTT/G eID = FindMaterial( "Lens" ) gA`x-` GetModelMaterial eID, mat /d<"{\o ?uiQ'} mat.Nd = nlens ]6#7TT SetModelMaterial eID, mat ]gxt+'iAFS Print "Set lens index of refraction = " & nlens y}TiN!M 2`|1 !x '************************************************************************* =Tdh]0 'Pupil diameter }1N$4@
'************************************************************************* +1`Zu$| eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $8kQM Ai99:J2k 'Adjust pupil diameter (trimming volume inner hole) N|G=n9p IO, kGUS SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >%v w(pt aahAUhF ' Adjust pupil location to just in front of the lens SHM
?32' parID = FindFullName( "Geometry.Arizona Eye" ) f{]eb1 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) _'g'M=E count = 0 QEUr+7[ While GetOperationCount(eID)>count [8T GetOperation eID, count, op (
Lp~:p If op.Type="ShiftZ" Then E="FE.%A DeleteOperation eID,count b7X-mkF count=count-1 ,}9 G|$ End If 0)c9X[sG count=count+1 CTqAhL 4} Wend >,ThIwRN op.Type = "ShiftZ" ]6PX4oK_t op.val1 = taq-0.01 W6kDQ&q op.parent = parID ]}K\&ho2 AddOperation eID, op ^iWcuh_n QH_0U`3 Print "Set pupil diameter = " & pupilDiam R`7v3{ v^Vr^!3 'Update AZ Eye subassembly Description j _r?4k eID = FindFullName( "Geometry.Arizona Eye" ) vY+{zGF GetEntity eID, entity 0zSRk]i.f entity.Description = "Accommodation = " & A & "D" .I6:iB SetEntity eID, entity lu]Z2xSv )p,uZ`~v Update ]e*Zx;6oi Print "DONE!" .Pp;% \,U#^Vr End Sub /zB;1%m- pHW
Qk z( 如果屈光度是4,光瞳直径是4,则会输出如下数据: Q}a, f75 |*~=w J_ Accommodation = 4 Diopters 1x\Vz\ Pupil Diameter = 4 mm =44hI86 Set aqueous humor thickness = 2.81 kh11Y1Q0d Set anterior lens radius = 10.4 and conic constant = -2.375869 y:FxX8S$'e Set posterior lens radius = -4.424557 and conic constant = -3.081019 L&C<-BA/ Set lens thickness = 3.927 ,I(PDlvtM Set lens index of refraction = 1.42672 Qv3g
4iJ Set pupil diameter = 4 (IAc*V~ DONE! Hh/Z4`&yi -c^/k_n (文章来源:讯技光电)
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