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简介 ^yRCR] oT u%O^hcfb 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。 b>%I=H%g l!ye\ 模型 w9}I*Nra f (
`.q 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。 {kJ[) 7 %a/O7s 6 Table 1. AZ眼睛模型的定义 i[ BR"( 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. \]J"e% 4(JxZ49 光源 r/Pg,si LFSOHJj 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。 ^d"tymDd CRWO R pP ?NI)3-l 图1. 光源和提示信息使用 cQPH le2 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。 !9o8v0ZI :B- ,*@EU 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。 !wrl.A/P VH*j3 图2. 字母F光源的设定方法光 2
;B[n;Q{ U(./LrM05 图3. 字母F在视网膜上位置点列图 raJyo>xXb5 视网膜的散射 @V :b Co fWm;cDM
H 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。 n?,fF( 9/s-|jD v2@M,xbxF: 图4. 视网膜朗伯散射设定 y+:< 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。 "<O?KO3K *rEW@06^\ F"23>3 图5. 视网膜重点采样规格设定 {8jG6 脚本 db%`-UST 1<R
\V 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: ;pB?8Z 0XozYyq 图6. 用户对话框的创建与编辑 2N,*S 图7. 用户对话框编辑器 G>_ZUHdI 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。 OC\C^Yh*U 余下的脚本计算与屈光度有关的所有参数。 :,VyOmf kD;BwU[ 分析 Ra*9d]N@ \aW5V: ? 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 +vbNZqwz b`:Eo+p 图7. 字母F在视网膜上颜色分析 Y2$%%@ 脚本代码 E_y h9lk "{0kg'fU Option Explicit 'Remove this to enable non-dimensioned variables to be used. 9Pb0Olh q5RLIstQ\ Dim entity As T_ENTITY R\+$^G}#6 Dim op As T_OPERATION oL6_Ya Dim mat As T_MODELMATERIAL gVl#pVO`N Dim A As Double A qm0|GlJ Dim pupilDiam As Double Aio0++r- Dim eID As Long L]tyL) Dim parID As Long T@S+5( Dim count As Integer W@0(Y9jdg Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]JM9 ^F Dim tlens As Double, nlens As Double "M*\,IH Dim curv As Double, conic As Double 0bd.ess Dim ok As Long $i`YtV $ `ho+ Sub Main FQ 4rA 4 kB:R-St '用户输入对话框 k4l72 'P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 7vWB=r>5@ TextBox 220,21,40,21,.TextBox1 'default: 0 ><DE1tG Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Gce_gZH7{ OKButton 40,91,90,21 [lJ[kr*7 CancelButton 190,91,90,21 EagI)W!s[ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 U--ER
r8 TextBox 220,49,40,21,.TextBox2 'default: 4 FPMW"~v End Dialog C/$IF M< Dim dlg As UserDialog %$}iM< C^~iz
in ok = Dialog (dlg) BdYh: O|/tRkDMP{ If ok=0 Then 'cancel button was pressed bC{~/ JP Print "Execution cancelled." c*W$wr End qjFgy)qV End If f;Dz(~hw 2,fB$5+ 'Assign accommodation and pupil diameter & use defaults if field left empty 0'<S7?~| If dlg.TextBox1 = "" Then +l#2u#e A = 0 'Default accommodation npF[J x[ Else &0"`\~lA A = CDbl(dlg.TextBox1) 4H:WpW*r End If AX)zSr Xn WZr~Pb9 If dlg.TextBox2 = "" Then _Dv^~e1c pupilDiam = 4 'Default pupil diameter *SW,pHYnLb Else I@B7uFj pupilDiam = CDbl(dlg.TextBox2) 0Nfj}sXCWE End If B+<k,ad ,yF)7fN Print " " L9.#/%I\ Print "Accommodation = " & A & " Diopters" 4M]8po/; Print "Pupil Diameter = " & pupilDiam & " mm" JB|I/\(A y/FisX ' Calculate new parameters with accommodation We ->d |= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness x0d+cSw TQou.'+v Rant = 12.0 - 0.4*A 'Radius of anterior lens d.Z]R&X08 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens UdGoPzN sHF vzE% Rpost = -5.224557 + 0.2*A 'Radius of posterior lens VtO+=mZV CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens {G}HZv%S U Q@8[q l1l tlens = 3.767 + 0.04*A 'Lens thickness =T-w.}27O #^9;<@M nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 82X. R+K[/AA 'Adjust parameters to account for accommodation Trrh`@R ~K9U0ypH '************************************************************************* P5>CSWy% 'Aqueous thickness (Position of Lens) tX251S '************************************************************************* BGX@n#: eID = FindFullName( "Geometry.Arizona Eye.Lens" ) )hug<D *h GetCustomElement eID, entity |6>_L6t Iqsk\2W]a3 parID = FindFullName( "Geometry.Arizona Eye" ) F(<8:`N;G qx)k1 QY ' Delete any shift(s) in z Bt,Xe~$z- count = 0 &wN
2l- While GetOperationCount(eID)>count K_QCYS. GetOperation eID, count, op $T6Qg(p If op.Type="ShiftZ" Then C~qhwwh DeleteOperation eID,count vgj^ - count=count-1 CWp1)%0= End If {ZXC%(u count=count+1 L2'd sOn Wend %7msAvbk [.X%:H+
'Set new shift in KeB4Pae|V op.Type = "ShiftZ" )\-";?sYky op.val1 = taq 1v&Fo2ML op.parent = parID vC:b?0s #( AddOperation eID, op 'c&@~O;^d Print "Set aqueous humor thickness = " & taq-0.55 +5[oY,^cO 5vft}f '************************************************************************* v9U(sEDq 'Radius and conic constant of anterior lens %i8>w:@NW '************************************************************************* abeSkWUL( eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) R*Z] GetConic eID, entity, curv, conic rxj@NwAno {X<4wxeTo SetConic eID, entity, 1/Rant, CCant *ldMr{s<R Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W@,p9=425 1?|6odc '*************************************************************************
vt@Us\fI 'Radius and conic constant of posterior lens Q)`gPX3F '************************************************************************* `uh@iD'KI eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) F,M"/hnPT GetConic eID, entity, curv, conic ,6;xr'[o* JhCkkw SetConic eID, entity, 1/Rpost, CCpost s;2/Nc Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost (\t_Hs::a EB5_; '************************************************************************* ny(GTKoUz 'Lens thickness (Position of posterior lens surface) ZQ~myqx,+L '************************************************************************* C$LRY~\ RP,:[}mPl parID = FindFullName( "Geometry.Arizona Eye.Lens" ) rN1U.FRe/ HCG@#W<wc ' Delete any z-shift(s) q^1aPz count = 0 =+`j?1 While GetOperationCount(eID)>count *Z`XG_ s5 GetOperation eID, count, op g&+Y{*Gp If op.Type="ShiftZ" Then 7q!yCU DeleteOperation eID,count Mf:M3H%YV+ count=count-1 sQ}%7BMK End If l]Ui@X count=count+1 pSQCT Wend /*AJr R+E_#lP_$ 'Set new z-shift jefNiEE[ op.Type = "ShiftZ" LMFK3Gd[ op.val1 = tlens Ty3CBR{6 op.parent = parID HX3D*2v": AddOperation eID, op wKk
3)@il Print "Set lens thickness = " & tlens cXS;z.M\_ O[IR| '************************************************************************* NTm<6Is` 'Lens index of refraction CYt jY~ '************************************************************************* aGB0-;.t7 eID = FindMaterial( "Lens" ) +_
*eu GetModelMaterial eID, mat 4<T*i{[ %'L].+$t mat.Nd = nlens cgs3qI SetModelMaterial eID, mat Cf0|Z Print "Set lens index of refraction = " & nlens GS
;HtUQ P>*Fj4Z~ '************************************************************************* M*5,O 'Pupil diameter 4>4V-m\ '************************************************************************* e9CP802#2 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 0A#*4ap _1>SG2h{fV 'Adjust pupil diameter (trimming volume inner hole) 7hB#x]oQo PXw|
L SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" WD15pq l P<%v+O ' Adjust pupil location to just in front of the lens wgY6D!Y parID = FindFullName( "Geometry.Arizona Eye" ) EjWgaV eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \un sh^M count = 0 sYGR-:K While GetOperationCount(eID)>count 8y$5oD6g9 GetOperation eID, count, op Iq{o-nq If op.Type="ShiftZ" Then O\6vVM[ DeleteOperation eID,count -i#J[>=w{C count=count-1 (tepmcf End If NX?}{'f count=count+1 wHx}U M" Wend WFouoXlG0 op.Type = "ShiftZ" PPEq6} op.val1 = taq-0.01 jz*0`9&_ op.parent = parID BU`ckK\( AddOperation eID, op xcst<= *-0>3 Print "Set pupil diameter = " & pupilDiam KYp[Gs yq?]V7~ 'Update AZ Eye subassembly Description z)
:ka"e eID = FindFullName( "Geometry.Arizona Eye" ) IroPx#s:i GetEntity eID, entity cS4DN entity.Description = "Accommodation = " & A & "D" yO00I`5 SetEntity eID, entity g0PT8]8 !NTH.U:g Update 'r\ 4}Ik Print "DONE!" =~&VdPZ %)?`{O~ h End Sub w8p8 ;@ H(b)aw^(% 如果屈光度是4,光瞳直径是4,则会输出如下数据: #.H}r6jqs |#k@U6`SG Accommodation = 4 Diopters zEj#arSE4 Pupil Diameter = 4 mm M%I@<~wl Set aqueous humor thickness = 2.81 [KSH~:h:NR Set anterior lens radius = 10.4 and conic constant = -2.375869 nBkh:5E5% Set posterior lens radius = -4.424557 and conic constant = -3.081019 A
(okv Set lens thickness = 3.927 -}P7$|O& Set lens index of refraction = 1.42672 _|A+) K Set pupil diameter = 4 a7#?h%wf DONE! 5pfYEofK[
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