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简介 N;7Xt9l 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。 *VH!<k[n `3^*K/K\ 模型 ~U#afGH$ )f9f_^; 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。 L8N`<a5T Z 9mY*}:U~ Table 1. AZ眼睛模型的定义 eD/O)X 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. T>s~bIzL*e Io *`hA] 光源 WY#A9i5Ge L6Ykv/V 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。 7OX5"u!2 K O "U5v "5u*C#T2$ 图1. 光源和提示信息使用 5G cdz 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。 )#zc$D^U = ;#?CAa: 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。 $5ZBNGr z=B*s!G 图2. 字母F光源的设定方法光 x?Doe`/6? f/RzE 图3. 字母F在视网膜上位置点列图 *,X;4?:, 视网膜的散射 3JM0 m ( sL|*0,#K 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 nS)U+q-x&o t7tX<|aN Yo3my>N&g 图4. 视网膜朗伯散射设定 p9Zi}!
注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Ac}+Uq p'fq&a+ `"zXf -qeE 图5. 视网膜重点采样规格设定 ^WQ.' G5Q 脚本 p/L|;c .dX ^3 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: awh<CmcZ OAO|HH 图6. 用户对话框的创建与编辑 L,c@Z@ 图7. 用户对话框编辑器 fVx<f.xuW 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 :["iBrFp 余下的脚本计算与屈光度有关的所有参数。 H)z}6[` ] W39HL 分析 HZC^Q7]hy Q.X)QCp#r 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 \=PnC}7I RhR{EO 图7. 字母F在视网膜上颜色分析 tIfA]pE 脚本代码 N,fEta6 !qk+>6~A, Option Explicit 'Remove this to enable non-dimensioned variables to be used. \Fg%V> W5 ^eCYHoi Dim entity As T_ENTITY yXP+$oox9 Dim op As T_OPERATION S?ELFq(g Dim mat As T_MODELMATERIAL TtTp,If Dim A As Double .Qk T-12 Dim pupilDiam As Double *P2_l
Q= Dim eID As Long Z6C!-a Dim parID As Long XE8>&&X Dim count As Integer KSkT6_< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j=b?WNK Dim tlens As Double, nlens As Double ScOiOz:Ha Dim curv As Double, conic As Double -P#PyZEH&I Dim ok As Long z6
T3vw vpnQ s#8O Sub Main |j:"n3~6
+l'l*< '用户输入对话框 %gUf Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *|WS, TextBox 220,21,40,21,.TextBox1 'default: 0 [`pp[J-~7 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 SR)jJ=R3 OKButton 40,91,90,21 ou8V7 CancelButton 190,91,90,21 I!sh+e Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Wk<he F TextBox 220,49,40,21,.TextBox2 'default: 4 \%&BK.t End Dialog wJc~AP)I%z Dim dlg As UserDialog Y$JGpeq8w A#NJ8_ ok = Dialog (dlg) ; '6`hZ 9~3;upWu! If ok=0 Then 'cancel button was pressed s4V-brCM$| Print "Execution cancelled." ZAATV+Z End -DAkVFsN End If 0F48T<i _[%2QwAUj* 'Assign accommodation and pupil diameter & use defaults if field left empty b;Nm$`2 If dlg.TextBox1 = "" Then c,@&Z#IZ` A = 0 'Default accommodation Rhw- 49AWx Else ?X
$#J'U; A = CDbl(dlg.TextBox1) \vg(@)$q
End If gR5
EK$ ZVu_E.4. If dlg.TextBox2 = "" Then 4)Jtc2z7Z\ pupilDiam = 4 'Default pupil diameter au=A+ Else R:N4_4& C~ pupilDiam = CDbl(dlg.TextBox2) <O<Kf:i&c1 End If <'T:9 b"4'*<=au Print " " @FNaCmBX Print "Accommodation = " & A & " Diopters" {"v~1W) Print "Pupil Diameter = " & pupilDiam & " mm" I:|<};mm 3{:AG,G ' Calculate new parameters with accommodation )NF5,eD taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness rgo#mTQ_ Tumv0=q4wd Rant = 12.0 - 0.4*A 'Radius of anterior lens bF2RP8?en CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [|qV*3|? *s JT\J$D[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
lL\%eQ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens }>93X0%r bm>N~DC tlens = 3.767 + 0.04*A 'Lens thickness KUD.hK. Ppton+?( nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !l6Ez_' k`we_$/Gw 'Adjust parameters to account for accommodation #}xw
*)3 o:wI{?%-3 '************************************************************************* V><,.p8 'Aqueous thickness (Position of Lens) gPE`mE '************************************************************************* 6y+_ x' eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {<}9r6k;f GetCustomElement eID, entity !V^wq]D2 42oW]b%P{; parID = FindFullName( "Geometry.Arizona Eye" ) XJZ\ss |l-~,eRvi5 ' Delete any shift(s) in z QjlQsN! count = 0 c1ga{c`Z While GetOperationCount(eID)>count K0aT(Rc
e GetOperation eID, count, op Vi m:: If op.Type="ShiftZ" Then A:$4cacu9 DeleteOperation eID,count WqO4_;X6/ count=count-1 8@ZZ[9kt End If Wa5B;X~ count=count+1 ROhhd. Wend T?g%I @fQvAok 'Set new shift in `VrQ?s op.Type = "ShiftZ" Zxw
cqN op.val1 = taq i7XM7+} op.parent = parID U-*`I?~=4 AddOperation eID, op ,+4*\yI3l Print "Set aqueous humor thickness = " & taq-0.55 ey]WoUZ wS7nTZfw '************************************************************************* Cu t7 'Radius and conic constant of anterior lens Lcz` '************************************************************************* 4{QD: D(D eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OWys`2W GetConic eID, entity, curv, conic g-~]^ $
3iIURSG@ SetConic eID, entity, 1/Rant, CCant ge4Qa K Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant /jl/SV+ cC*H.N '************************************************************************* HfPu~P 'Radius and conic constant of posterior lens q4T98s2J '************************************************************************* hHk9O? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) O?`_RN4l GetConic eID, entity, curv, conic (PC)R9r5 |jB/d@RE SetConic eID, entity, 1/Rpost, CCpost ES)@iM?5 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5{xK&[wR* 5m
yQBKE '************************************************************************* `aDVN_h{6 'Lens thickness (Position of posterior lens surface) h e[2, '************************************************************************* iv
~<me0F FEO/RMh parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /E-sg,
k ?J@P0(M# ' Delete any z-shift(s) .(7m[-iF! count = 0 cN:dy# While GetOperationCount(eID)>count u[HamGxx$u GetOperation eID, count, op hkB|rhJgm If op.Type="ShiftZ" Then 7NRm\%^q DeleteOperation eID,count ]
T<#bNK\1 count=count-1 mndKUI}d End If 5]*!N count=count+1 5.LfN{gE) Wend {kghZur |=:<[FU 'Set new z-shift u}.mJDL op.Type = "ShiftZ" ?IG[W+M8 op.val1 = tlens ,u=+%6b)A op.parent = parID q?qH7={,eu AddOperation eID, op =gB8(1g8 Print "Set lens thickness = " & tlens ffMk.SqI P Ij '************************************************************************* r=/$}l4 'Lens index of refraction ?=im~ '************************************************************************* w6h*dh$w eID = FindMaterial( "Lens" ) SZUo RWx GetModelMaterial eID, mat 3lTnfc& J$U_/b.mk mat.Nd = nlens D\| U_> SetModelMaterial eID, mat Q- 7L,2TL Print "Set lens index of refraction = " & nlens fDRG+/q(+ 6 rWb2b '************************************************************************* BV6B:=E0 'Pupil diameter CQPq5/@Y4 '************************************************************************* "A> _U<Y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e{H( 8F&Y; 'Adjust pupil diameter (trimming volume inner hole) \EXa 9X2 k=cDPu - SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" D/afa8>LQH CEVisKcE: ' Adjust pupil location to just in front of the lens /I((A/ks parID = FindFullName( "Geometry.Arizona Eye" ) fRT4>So eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) w"37sv count = 0 %OsxXO? While GetOperationCount(eID)>count ExM VGe GetOperation eID, count, op tH~>uOZW If op.Type="ShiftZ" Then cwOa"]t} DeleteOperation eID,count FU(2,Vl count=count-1 W4bN']? End If !b=W>5h count=count+1 X:lStO#5 Wend dai+" op.Type = "ShiftZ"
_Ie:!q op.val1 = taq-0.01 d0i|^ op.parent = parID n wMq~I*1 AddOperation eID, op S>)[n]f $fBj}\o Print "Set pupil diameter = " & pupilDiam UZs'H"K pSI8"GwQ 'Update AZ Eye subassembly Description vvu $8n eID = FindFullName( "Geometry.Arizona Eye" ) *<[zG7+&[ GetEntity eID, entity J"Fp), entity.Description = "Accommodation = " & A & "D" Y;'SD{On SetEntity eID, entity WEJ-K<A( /2
hk 9XM Update 5fMlOP_ Print "DONE!" ]1pB7XL gX7R-&[UD End Sub 1+Uem CZ'm|^S 如果屈光度是4,光瞳直径是4,则会输出如下数据: IA{W-RRb >t<\zC|~w Accommodation = 4 Diopters 7A) E4f' Pupil Diameter = 4 mm T:Ovh.$ Set aqueous humor thickness = 2.81 hsT&c| Set anterior lens radius = 10.4 and conic constant = -2.375869 7xQ:[P!G+ Set posterior lens radius = -4.424557 and conic constant = -3.081019 -SfU.XlZl Set lens thickness = 3.927 b dLi_k Set lens index of refraction = 1.42672 c&x1aF "B Set pupil diameter = 4 [[w | DONE! NuOxEyC U82mO+} (文章来源:讯技光电)
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