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简介 Ort\J~O 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。 y8L:nnSj Np<Aak 模型 k@2gw]y" IE6/
E 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。 @MM|.#
~T WO{N@f^ Table 1. AZ眼睛模型的定义 Xy{b(b;9 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. iqU}t2vFrj C@[:}ZGMV 光源 Y/+ D4^L ~t}:vGD j 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。 ,9rT|:N *0U(nCT&m O []+v 图1. 光源和提示信息使用 L?P8/]DGp 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。 +bSv-i - Cn"N5(i 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。 f 6q@ !y),| #7P 图2. 字母F光源的设定方法光 zx!1jS t5_`q(: 图3. 字母F在视网膜上位置点列图 Rl(b tr1w 视网膜的散射 rYLNV!_ J+TYm%A;- 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。 HGKm?'[' -or9!:8 1a'JNe$ 图4. 视网膜朗伯散射设定 M}c_KFMV 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。 '!0CwZ
7 OT [t
EqQ &a0%7ea`.S 图5. 视网膜重点采样规格设定 ''6"Xi|5 脚本 0I
k@d'7 wO"Q{oi+ 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: nQ+{1 C l9Vim9R5T 图6. 用户对话框的创建与编辑 zL|^5p`K 图7. 用户对话框编辑器 5
9X|l&/ 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。 )uaB^L1 余下的脚本计算与屈光度有关的所有参数。 Bm?Ku7}. m/ukH{H1% 分析 *iR`mZb /x-t-} 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 t_N
`e(V J]N}8 0 图7. 字母F在视网膜上颜色分析 #K[
@$BY: 脚本代码 OJK/> Vg3&:g5 / Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7KEGTKfW k.0C*3' Dim entity As T_ENTITY |N g[^ Dim op As T_OPERATION D^u{zZy@e Dim mat As T_MODELMATERIAL $ D89|sy Dim A As Double tEeMl =u Dim pupilDiam As Double DXiD>1(q Dim eID As Long 8}0
D? Dim parID As Long cnj_tC=zt Dim count As Integer gV7o
eZ5 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :Y'nye3: Dim tlens As Double, nlens As Double D9Z5g3s7R Dim curv As Double, conic As Double qvscf_%FM Dim ok As Long w.3R1}R wVvU]UT Sub Main Grqs*V &|g @Q^;qMy '用户输入对话框 >!2'|y^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z`%;bP: TextBox 220,21,40,21,.TextBox1 'default: 0 f6#H@
X Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Pv'x|p* OKButton 40,91,90,21 gu/Yc`S[ CancelButton 190,91,90,21 J0K"WmW Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 `MD/CFl4 TextBox 220,49,40,21,.TextBox2 'default: 4 v!uLd.( End Dialog 9f@)EKBK Dim dlg As UserDialog <uvshZv G9i#_ ok = Dialog (dlg) 0jmlsC> -bE|FFU If ok=0 Then 'cancel button was pressed H~@h
#6 Print "Execution cancelled." usA!MMH4 End f[RnL#*xJU End If {)y4Qp 5Zov<+kE 'Assign accommodation and pupil diameter & use defaults if field left empty Wama>dy% If dlg.TextBox1 = "" Then c1^3lgPv A = 0 'Default accommodation Yem\`; * Else pIXQ/(h31 A = CDbl(dlg.TextBox1) "duJl- End If A3n"zxU 9Dl \S F[ If dlg.TextBox2 = "" Then ;1%a:#5 pupilDiam = 4 'Default pupil diameter #cs!`Ngb+ Else nAzr!$qbNv pupilDiam = CDbl(dlg.TextBox2) cG?266{g End If 8vo}
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K Print " " NO$Nl/XM Print "Accommodation = " & A & " Diopters" RBXoU'. Print "Pupil Diameter = " & pupilDiam & " mm"
]Oy<zU - \QtE}|4 ' Calculate new parameters with accommodation -AE/,@ \P taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <'-me09C* -}J8|gwwp Rant = 12.0 - 0.4*A 'Radius of anterior lens R32d(2%5K CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens H]e 2d| 3Z0\I\E Rpost = -5.224557 + 0.2*A 'Radius of posterior lens lg1D>=(mY CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens | QA8"&r if'4MDl tlens = 3.767 + 0.04*A 'Lens thickness zvD5i,I m%&B4E#3T nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +[ zo2lBx C#Jj;Gd 'Adjust parameters to account for accommodation 9:>K!@ rx/6x(3 '************************************************************************* m5Kx}H~ 'Aqueous thickness (Position of Lens) [7V]=] p '************************************************************************* 3[0:,^a eID = FindFullName( "Geometry.Arizona Eye.Lens" ) N,|oV|i GetCustomElement eID, entity gISs+g ~}w 8UO parID = FindFullName( "Geometry.Arizona Eye" ) n&]w* (, fm0( ' Delete any shift(s) in z jH1~Ve+q9 count = 0 [w f12P While GetOperationCount(eID)>count \4k*Zk GetOperation eID, count, op qE}YVKV* If op.Type="ShiftZ" Then 4lCm(#T{, DeleteOperation eID,count .Q@"];wH count=count-1 _u$K Lqt/, End If =&b[V" count=count+1 =HHg:" Wend Q_.Fw\l$` YqgW8EM 'Set new shift in 3)Y:c2 op.Type = "ShiftZ" ; \+0H$ op.val1 = taq >gJWp@6V op.parent = parID 7w, FA AddOperation eID, op OB22P% Print "Set aqueous humor thickness = " & taq-0.55 LS'=>s" mI#; pO2 '************************************************************************* Y=Qf!Cq] 'Radius and conic constant of anterior lens OWsYE? '************************************************************************* gN~y6c:N eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) mC`!
\"w GetConic eID, entity, curv, conic ]?{lQ0vw'w TzGm562o% SetConic eID, entity, 1/Rant, CCant UmX[=D| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant (N4(r<o; (+dRD]|T '************************************************************************* xQap44KPZ 'Radius and conic constant of posterior lens >N-% '************************************************************************* QE2^.|d{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) L0tKIpk GetConic eID, entity, curv, conic 8[;oUVb5 A#&qoZ(C SetConic eID, entity, 1/Rpost, CCpost D5u"4\g<& Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost PqLqF5`S =fK'Ep[ '************************************************************************* X>7]g670@ 'Lens thickness (Position of posterior lens surface) 9'g{<(R] '************************************************************************* 7"p s#)O XWpnZFjE parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~79Qg{+]N shIi,!bZ ' Delete any z-shift(s) +z0}{,HX count = 0 .+}o'rU While GetOperationCount(eID)>count )Cvzj<Q0 GetOperation eID, count, op =pyZ^/}P If op.Type="ShiftZ" Then 9t.yP;j\Y DeleteOperation eID,count 4!vUksM count=count-1 _x6E_i-( End If es+_]:7B9 count=count+1 fMPq Wend cE5Zxcn
iLcadX 'Set new z-shift v9lBk]c op.Type = "ShiftZ" E:=KH\2f op.val1 = tlens AO$PuzlLh op.parent = parID zN/~a) AddOperation eID, op #UCQiQfP Print "Set lens thickness = " & tlens vx}Z &iy(oM '************************************************************************* r5fkt>HZ 'Lens index of refraction
ZHECcPhz '************************************************************************* fhIj+/{_O eID = FindMaterial( "Lens" ) GtJ*&=( GetModelMaterial eID, mat I@Z*Nu1L Bye@5D mat.Nd = nlens 8t:h SetModelMaterial eID, mat oEoJa:h Print "Set lens index of refraction = " & nlens 'oZn<c` K6*UFO4}i '************************************************************************* ?En|
_E_C 'Pupil diameter <` j[;>O '************************************************************************* [2 w<F[ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m4U+,|Fa 7h9[-d6 'Adjust pupil diameter (trimming volume inner hole) 9'#.>Q>0=j ;AGs1j SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <&s)k xT?} wF ' Adjust pupil location to just in front of the lens |;u%JW$4 parID = FindFullName( "Geometry.Arizona Eye" ) A='+tJa eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ->2wrOH|H count = 0 (<R\ While GetOperationCount(eID)>count 4Re@ QOZ GetOperation eID, count, op 4B8S e If op.Type="ShiftZ" Then wQ=yY$VP DeleteOperation eID,count K*U=;*p) count=count-1 N'
$DE End If LH/&\k count=count+1 vgA!?P3 Wend 'Rkvsch op.Type = "ShiftZ" oz0n$`O$/ op.val1 = taq-0.01 xe gL! op.parent = parID g[wP!y%V AddOperation eID, op YUVc9PV)Ws Ns|V7|n] Print "Set pupil diameter = " & pupilDiam iPY vePQ 9p\Hx#^ 'Update AZ Eye subassembly Description ;Ma/b= Y eID = FindFullName( "Geometry.Arizona Eye" ) Pm#x?1rAj GetEntity eID, entity 3Da,]w< entity.Description = "Accommodation = " & A & "D" $dZ>bXUw: SetEntity eID, entity 3aE[F f[ :
>wQwf Update ()nKug`.@ Print "DONE!" VU`z|nBW@ 4)odFq: End Sub FJd8s* V3 _b! 如果屈光度是4,光瞳直径是4,则会输出如下数据: >1a\%G H#|Z8^ *Ds Accommodation = 4 Diopters I*:qGr+ WJ Pupil Diameter = 4 mm I`"-$99|t1 Set aqueous humor thickness = 2.81 +\k9w.[:/ Set anterior lens radius = 10.4 and conic constant = -2.375869 3Zaq#uA Set posterior lens radius = -4.424557 and conic constant = -3.081019 ]D?# \| Set lens thickness = 3.927 qJX+[PJ Set lens index of refraction = 1.42672 6R-C0_'h Set pupil diameter = 4 t(j_eq}J DONE! 8_<&f%/ 8!uL-_ Bn (文章来源:讯技光电)
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