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简介 TGU:(J'^ 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。 D|@bGN 3CR@'
qG- 模型 vBh; ;V_.[aX 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。 &5\^f?'b7 ]} 61vV Table 1. AZ眼睛模型的定义 pheE^jUr 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. b4>``n t})lr\ 光源 X E|B)Q( Rn`ld@=p[ 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。 q7X}MAW o:2Q2+d CRH{E}> 图1. 光源和提示信息使用 j-7u>s-l 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。 w8O" =}, %*wzO9w4
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。 ;{vwBDV!' wfgqgPo!v 图2. 字母F光源的设定方法光 &
_; y.! 9O;cJ)tXY 图3. 字母F在视网膜上位置点列图 hd+]Ok7" 视网膜的散射 #/Ruz'H1> wV(AT$ 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。 ]' Y|Nl w|IjQ1{ eD%HXGe 图4. 视网膜朗伯散射设定 a1Hz3y~S/ 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。 4&QUh+F UuU/c-. X) V7bVW 图5. 视网膜重点采样规格设定 <,"4k&0Q>V 脚本 zuSq+pxL@ vY6oVjM 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: {7*>Cv} RK[D_SmS 图6. 用户对话框的创建与编辑 lVz9k 图7. 用户对话框编辑器 `vd= ec 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。 <$%X<sDkq 余下的脚本计算与屈光度有关的所有参数。 x2co>.i WJ|:kuF 分析 rcV-_+KE(B ^$v3eKA 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 n]Zk;%yL e,>%Z@92( 图7. 字母F在视网膜上颜色分析 NYwR2oX 脚本代码 ~@T<gA9V >nzu],U Option Explicit 'Remove this to enable non-dimensioned variables to be used. ';0 qj$# "13"`!m Dim entity As T_ENTITY @@@=}!<H= Dim op As T_OPERATION /kgeV4]zR Dim mat As T_MODELMATERIAL [}OgSP9i Dim A As Double Xa," 'r Dim pupilDiam As Double u: &o}[ Dim eID As Long LCs__. Dim parID As Long {Z>
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Dim count As Integer ^Dg<Ki Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]5}=^ Dim tlens As Double, nlens As Double n`ViTwd]MQ Dim curv As Double, conic As Double &$'z Dim ok As Long o! OMm! D-2.fjo9! Sub Main 0fm*`4Q UH?
p]4Nz '用户输入对话框 eujK4s Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 lhH`dG D TextBox 220,21,40,21,.TextBox1 'default: 0 ST5V!jz Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 iYJZvN OKButton 40,91,90,21 #*9-d/K CancelButton 190,91,90,21 .B72C[' c Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `Out(Hn TextBox 220,49,40,21,.TextBox2 'default: 4 3*ixlO:qGk End Dialog POAw M Dim dlg As UserDialog U!(@q!>G vAb^]d ok = Dialog (dlg) 7j$Pt8$ 7%MbhlN. If ok=0 Then 'cancel button was pressed 0nJE/JZ Print "Execution cancelled." xYfD()w<I End eS+g| $cW End If :s={[KBP q[3x2sR 'Assign accommodation and pupil diameter & use defaults if field left empty @{hd{>K* If dlg.TextBox1 = "" Then q%(EYM5Y A = 0 'Default accommodation C NsNZJ Else @I`C#~ A = CDbl(dlg.TextBox1) urBc=3Rz End If %FZ2xyI. 2I/xJ+ If dlg.TextBox2 = "" Then %" D%: pupilDiam = 4 'Default pupil diameter 6$U]9D Else t5B7I59 pupilDiam = CDbl(dlg.TextBox2) <TGn=>u End If hR#-u1C e~l#4{w Print " " 1Xu?(2;NF Print "Accommodation = " & A & " Diopters" q h/F Print "Pupil Diameter = " & pupilDiam & " mm" B* kcNlW E/M_lvQ ' Calculate new parameters with accommodation A4C+5R taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness x5}'7,A Byl^?5 Rant = 12.0 - 0.4*A 'Radius of anterior lens !Ucjax~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 54lu2gD' U>Ld~cw Rpost = -5.224557 + 0.2*A 'Radius of posterior lens cH'
iA. CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens N`@NiJ(O; /1N6X.Zb tlens = 3.767 + 0.04*A 'Lens thickness b-ll zGKyN@o nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "@R>J?Cc+ sUZX
} 'Adjust parameters to account for accommodation d)f@ 5/< GSclK|#tE '************************************************************************* PZxAH9 S? 'Aqueous thickness (Position of Lens) >r`b_K '************************************************************************* m!<i0thJ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) U,#yqER'r GetCustomElement eID, entity }En De7Ts parID = FindFullName( "Geometry.Arizona Eye" ) F+R?a+e pl@O
N"=[ ' Delete any shift(s) in z O[tvR:Nh count = 0 k@zy While GetOperationCount(eID)>count oSiMpQu08 GetOperation eID, count, op A.<H>=Z#O If op.Type="ShiftZ" Then ;g{qYj_ DeleteOperation eID,count O~j> ? count=count-1 Grs]d-xI End If {{V8;y
count=count+1 |*Z$E$k: Wend ?
WJ> p SJD@&m%?[ 'Set new shift in #/PA A op.Type = "ShiftZ" ~wg:!VWA) op.val1 = taq zvABU+{jD op.parent = parID V5+SWXZ AddOperation eID, op SGb;!T* Print "Set aqueous humor thickness = " & taq-0.55 " \I4u{zC KiG p[eb '************************************************************************* ; ^t{Il'j 'Radius and conic constant of anterior lens ~l;[@jsw F '************************************************************************* r0p w_j eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) d%l{V6 GetConic eID, entity, curv, conic %%(R@kh9 wFG3KzEq ~ SetConic eID, entity, 1/Rant, CCant {U&.D
[{& Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant rG,5[/l V_plq6z '************************************************************************* 06jqQ-_`h 'Radius and conic constant of posterior lens ss;R8:5 '************************************************************************* +`?Y?L^
J eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) KNH1#30 K GetConic eID, entity, curv, conic (sVi\R SG6sw]x SetConic eID, entity, 1/Rpost, CCpost E=){K Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [M+f-kl ~-wPP{! '************************************************************************* 1lv2@QH9 'Lens thickness (Position of posterior lens surface) v[Kxja; '************************************************************************* oK 6(HF'& n3J53| %v parID = FindFullName( "Geometry.Arizona Eye.Lens" ) CI3XzH\IX* J\e+}{ ' Delete any z-shift(s) @?h/B=56 count = 0 R8.CC1Ix While GetOperationCount(eID)>count Y@PI {;! GetOperation eID, count, op 2NB L}x If op.Type="ShiftZ" Then q^6 +!&" DeleteOperation eID,count L(X6-M: count=count-1 |_uaS End If 'Ei;^Y 1e count=count+1 b!M"VDjQ Wend 7FRmx4(! ~c6} 'Set new z-shift `a9L%z op.Type = "ShiftZ" qKJSj
op.val1 = tlens TX#m&vh op.parent = parID >}(CEzc8 AddOperation eID, op #-h\. #s Print "Set lens thickness = " & tlens kI%%i>Y} {d?$m*YR3` '************************************************************************* Qt|c1@J 'Lens index of refraction A&>.74}p '************************************************************************* ^iQn'++Q eID = FindMaterial( "Lens" ) 4lZ$;:Jg GetModelMaterial eID, mat Y#g4$"G9 7'OtruJ mat.Nd = nlens k__$Q9qj( SetModelMaterial eID, mat dx;k`r$w Print "Set lens index of refraction = " & nlens S4=R^];l .L~Nq%g1 '************************************************************************* E= `6-H{ 'Pupil diameter Ld B($4, '************************************************************************* JMTvSXr eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) u :F~K 7.j[a*^ 'Adjust pupil diameter (trimming volume inner hole) 5+fLeC; f-r]
|k SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" p019)X|vx s@fTj$h ' Adjust pupil location to just in front of the lens *3D%<kVl parID = FindFullName( "Geometry.Arizona Eye" ) , lJv eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) YBnA+l* count = 0 `%j~|i)4 While GetOperationCount(eID)>count `)QCn< GetOperation eID, count, op 5aa<qtUjH If op.Type="ShiftZ" Then GIAc?;zY DeleteOperation eID,count lSH6>0#B count=count-1 J/3_C6UZ End If A=kH%0s2p@ count=count+1 u a\,-> Wend }6 K^`! op.Type = "ShiftZ" VM0j`bs'K* op.val1 = taq-0.01 ++DG5` op.parent = parID x|{IwA9 AddOperation eID, op R<V!%rL;; `8FUX= Sh Print "Set pupil diameter = " & pupilDiam B4]`-mahO y9KB< yh/ 'Update AZ Eye subassembly Description sCu+Lg~f eID = FindFullName( "Geometry.Arizona Eye" ) tlA"B{7 GetEntity eID, entity kHqzt g entity.Description = "Accommodation = " & A & "D" Zy09L}5 9P SetEntity eID, entity +Y+Y6Ac[} KWWa&[ev) Update *cO sv Print "DONE!" SI8%M=P> )Jv[xY~ End Sub f0T,ul, > ,DbNmi 如果屈光度是4,光瞳直径是4,则会输出如下数据: B7z -7&TE }Nb8}(6 Accommodation = 4 Diopters n>'Kp T9| Pupil Diameter = 4 mm @}:uu$OH Set aqueous humor thickness = 2.81 F0690v0mB[ Set anterior lens radius = 10.4 and conic constant = -2.375869 `g,8- Set posterior lens radius = -4.424557 and conic constant = -3.081019 `ImE% r! Set lens thickness = 3.927 1J'3 g Set lens index of refraction = 1.42672 C2{lf^9:& Set pupil diameter = 4 FW.$5*f=' DONE! `N5|Ho*C Sv;_HZ (文章来源:讯技光电)
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