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简介 ;[R{oW
Nw uCB7(< 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。 ^%@(>:)0 $VvL 模型 C_rlbl;T ZZL.&Ho 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 :EJ+# _ n,Ye&m Table 1. AZ眼睛模型的定义 th}Q`vg0 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. U;<07
aMj T\eOrWt/ 光源 P3jDx{F qgbp-A!2zF 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 Z
7rVM ykrb/j|rK HFu#-}iNV 图1. 光源和提示信息使用 c| 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 &> tmzlww cs `T7?> 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 '#mv- /<t* p&/}0eL y 图2. 字母F光源的设定方法光 2 1.;lj Xp"ZK=r 图3. 字母F在视网膜上位置点列图 v_3r8My- 视网膜的散射 6}ct{Q n dgG1v% 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 :8cp]vdW S
'S|k7Lp Tp2 `eY5 图4. 视网膜朗伯散射设定 ' te4mY} 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ~:~-AXaMT bx`s;r= J8>y2rAi 图5. 视网膜重点采样规格设定 PzbLbH8A 脚本 u;R< H3"90^|,@ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: |dcRDOTe 9(g?{ 6v| 图6. 用户对话框的创建与编辑 dr#g[}l'H 图7. 用户对话框编辑器 99j^<) 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 .Az'THD} 余下的脚本计算与屈光度有关的所有参数。 V+j58Wuf
#/a>dK 分析 :Lu=t3#
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屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [+<lm
5t *Y8nea^$ 图7. 字母F在视网膜上颜色分析 ^EY^.?Mg 脚本代码 T<1*R>el <3i2(k Option Explicit 'Remove this to enable non-dimensioned variables to be used. :!H]gC
4 h8OmO5/H Dim entity As T_ENTITY Gxx:<`[ON Dim op As T_OPERATION YTP6m9hA+ Dim mat As T_MODELMATERIAL vDl6TKXcu Dim A As Double Rg@W0Bc) Dim pupilDiam As Double Nr 5h%<`I Dim eID As Long Sxo9y0K8- Dim parID As Long 7~(|q2ib Dim count As Integer <d!_.f}v Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
&!7{2E\7C Dim tlens As Double, nlens As Double !jZXh1g% Dim curv As Double, conic As Double F}
d>pK9fn Dim ok As Long aF2vw{wT} 7` AQn], Sub Main CJ0{>? O%feB e '用户输入对话框 N0TEVDsk Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 &+]x TextBox 220,21,40,21,.TextBox1 'default: 0 NbG`v@yH Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Z#w@ /!"}T OKButton 40,91,90,21 ,FWC|uM" CancelButton 190,91,90,21 {oQ.y Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 *UM=EQaYk TextBox 220,49,40,21,.TextBox2 'default: 4 3zi(|B[,? End Dialog Y)="of Dim dlg As UserDialog DPIIE2X HAa$pGb ok = Dialog (dlg) ~m4{GzB c!#DD;<Q If ok=0 Then 'cancel button was pressed qRy<W Print "Execution cancelled." m^hi}Am1 End =^ End If ,|RS]I>X #{97<sU\ 'Assign accommodation and pupil diameter & use defaults if field left empty [wKnJu If dlg.TextBox1 = "" Then NJ"
d` A = 0 'Default accommodation |j3fS[.$ Else !@2L g A = CDbl(dlg.TextBox1) v(PwE B] End If L#)F00/` G .PzpBA If dlg.TextBox2 = "" Then @nIoYT=' pupilDiam = 4 'Default pupil diameter Ci{,e% Else \jlem <& pupilDiam = CDbl(dlg.TextBox2) 9k5$rK` End If EtVRnI@ )qxZHV Print " " %=C49(/K_ Print "Accommodation = " & A & " Diopters" DK-V3}`q} Print "Pupil Diameter = " & pupilDiam & " mm" Ih_2")d UvwO/A\Gv ' Calculate new parameters with accommodation p%MH**A taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness zT_ OB-gH3: Rant = 12.0 - 0.4*A 'Radius of anterior lens E RnuM CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens (- ]A1WQ? c& &^Do Rpost = -5.224557 + 0.2*A 'Radius of posterior lens P'wn$WE[n\ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens btb$C k{M4.a[( tlens = 3.767 + 0.04*A 'Lens thickness <K6:" tXZE@JyuC nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^o;f~6#17 L?[NXLn+ 'Adjust parameters to account for accommodation AHa%?wb 7t8[M( '************************************************************************* 3}U {~l!K 'Aqueous thickness (Position of Lens) >b6!*Lrhs '************************************************************************* Ab|
tE5% eID = FindFullName( "Geometry.Arizona Eye.Lens" )
RXo!K iQO GetCustomElement eID, entity 6
GL.bS bLSZZfq parID = FindFullName( "Geometry.Arizona Eye" ) hT
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VMc 6I5,PB ' Delete any shift(s) in z rUg<(/c count = 0 /Mac:;W` While GetOperationCount(eID)>count >%x N?% GetOperation eID, count, op G{wIY" ~4 If op.Type="ShiftZ" Then -o\o{?t, DeleteOperation eID,count CJn{tP count=count-1 c,wYXnJ_t End If :K-05$K count=count+1 ihv=y\Jt Wend rGNYu\\ "'#18&N 'Set new shift in !&8nwOG op.Type = "ShiftZ" m{dXN= op.val1 = taq Ib8*rL0p<L op.parent = parID A>C&`A=- AddOperation eID, op 2hD(zUSy Print "Set aqueous humor thickness = " & taq-0.55 2N)siH )sONfn '************************************************************************* :>y?B!= 'Radius and conic constant of anterior lens SVJL|S 3k '************************************************************************* ^`BiA'gPPC eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) @y"/hh_? GetConic eID, entity, curv, conic Z4&,KrV *9XKkR<r SetConic eID, entity, 1/Rant, CCant [2WJ];FJ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant NU]+ {7 #o>~@.S#:0 '************************************************************************* [9hslk 'Radius and conic constant of posterior lens D90.z"N\i9 '************************************************************************* 1KHFzx, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /b|V=j}W GetConic eID, entity, curv, conic G}|!Jdr 6}(;~/L SetConic eID, entity, 1/Rpost, CCpost x6h';W_ 8 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost SC Qr/Q !Dc|g~km\ '************************************************************************* ZmXO3,sf) 'Lens thickness (Position of posterior lens surface) t\GoUeH] '************************************************************************* RWX?B \sSt _|+ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) x/<eY<Vgm? vO?\u`vY ' Delete any z-shift(s) 4G o$OQ` count = 0 -za+Wa`vH While GetOperationCount(eID)>count g-4m.; GetOperation eID, count, op .eNeqC If op.Type="ShiftZ" Then :kQ%Mj> DeleteOperation eID,count |. ZYY(} count=count-1 ?o>JX.Nl&7 End If fRt`]o:Om count=count+1 Xur{nk~? Wend 6d# 7 j\LJ{?;jC 'Set new z-shift b +4x2{ op.Type = "ShiftZ" rDD,eNjG op.val1 = tlens [iO*t,3@h op.parent = parID qV7F=1k] AddOperation eID, op 4qYT Print "Set lens thickness = " & tlens 8:9/RL\"x -ff@W m '************************************************************************* K6z)&< 'Lens index of refraction ;YfKG8(0 '************************************************************************* ,E._A(Z eID = FindMaterial( "Lens" ) "p"M9P' GetModelMaterial eID, mat \nzaF4+$ i&di}x mat.Nd = nlens MEI.wJZ SetModelMaterial eID, mat ;^"#3_7T] Print "Set lens index of refraction = " & nlens KAFx^JLo bTd94 '************************************************************************* ]di^H>,xU 'Pupil diameter o-}q|tD$< '************************************************************************* ; *ZiH%q, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =>0G <@](uWu 'Adjust pupil diameter (trimming volume inner hole) ,q".d =6 N E/ _ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" yu.N> [= YCBcyE}p ' Adjust pupil location to just in front of the lens 8q"C=t7 parID = FindFullName( "Geometry.Arizona Eye" ) -#y^$$i0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #;lB5) oe count = 0 [
U`}) While GetOperationCount(eID)>count Y+ Qm. GetOperation eID, count, op -qDM(zR If op.Type="ShiftZ" Then !iHJ! DeleteOperation eID,count ;,2;J3,pA count=count-1 0]u=GD% End If U#mrbW count=count+1 .B? J@, Wend *?`<Ea op.Type = "ShiftZ" JA]qAr op.val1 = taq-0.01 r.vezsH op.parent = parID FWb`F& AddOperation eID, op 5;:964Et a{y"vVQOF Print "Set pupil diameter = " & pupilDiam Be4n\c. $%Kyz\;7/ 'Update AZ Eye subassembly Description W*!u_]K> eID = FindFullName( "Geometry.Arizona Eye" ) 1=^edQ+ GetEntity eID, entity &f"kWOe$X entity.Description = "Accommodation = " & A & "D" h4,S/n SetEntity eID, entity 7.!`c-8
u rv26vnJy" Update 9`|
^cL*6 Print "DONE!" 8)m rl0|)j End Sub ;#+Se,) :OC(93d)0 如果屈光度是4,光瞳直径是4,则会输出如下数据: IS[&V&.n VYAz0H1-_ Accommodation = 4 Diopters PpWn+''M Pupil Diameter = 4 mm +}Q@{@5w Set aqueous humor thickness = 2.81 vbMt}bM(GD Set anterior lens radius = 10.4 and conic constant = -2.375869 cq,8^o& Set posterior lens radius = -4.424557 and conic constant = -3.081019 e<E]8GAF Set lens thickness = 3.927 sR*.i?lN Set lens index of refraction = 1.42672 G8hq;W4@]/ Set pupil diameter = 4 +H `FC DONE! =(\xe|
Q /q\{Os rX _rIFwT1] QQ:2987619807 #$*l#j"#A
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