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简介 >~8Df61o` 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。 QX3![;0F %* ;
8m' 模型 r:Tb{cA ]ZATER)jq 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。 W3j|% rNO;yL4)ey Table 1. AZ眼睛模型的定义 f__WnW5h 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. eBKIdR%k 51'SA
B09 光源 c324@o^V 0PbIWy' 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。 }iloX# %dR./{txT #a l^Uqd 图1. 光源和提示信息使用 NUtyUv 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。 + # >%bq x ^*W<$A_ 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。 T#f@8 -XUE PTZ1oD 图2. 字母F光源的设定方法光 xT8"+} J8DbAB4X 图3. 字母F在视网膜上位置点列图 ,p1]_D& 视网膜的散射 QYGxr+D mf'1.{ 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。 JOq<lb= 4!qDG+m vw; 图4. 视网膜朗伯散射设定 }d]8fHG 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。 3%a37/|~y 7rg[5hP T F'*&-l 图5. 视网膜重点采样规格设定 =*U24B*U93 脚本 c[7qnSH 8hp]+k_y 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: h)`vc#"65k \LXC269 图6. 用户对话框的创建与编辑 8[ OiG9b 图7. 用户对话框编辑器 (RS:_] 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。 A6L}5#7- 余下的脚本计算与屈光度有关的所有参数。 (Mh\!rMg %C:XzK-x 分析 z+I-3v ~MOCr 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 b2%[9)"I. w}b+vh^3Wy 图7. 字母F在视网膜上颜色分析 C%>7mz-v5 脚本代码 uy{KV"%"^g vm4oaVi Option Explicit 'Remove this to enable non-dimensioned variables to be used. $)~]4n= e{:qW'% Dim entity As T_ENTITY XQ+hTtP Dim op As T_OPERATION d:''qgz` Dim mat As T_MODELMATERIAL
n9Yk;D2 Dim A As Double '3->G/Pu Dim pupilDiam As Double 5?MvO]_ Dim eID As Long 1gJ!!SHPo Dim parID As Long Mw.+0R!T Dim count As Integer GAlO<Mu Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Of=z!|l2 Dim tlens As Double, nlens As Double ZP<X#]$qb Dim curv As Double, conic As Double HfiM]^ Dim ok As Long i=T/}c)
1P_bG47 Sub Main U\{Z{F%8 1<"kN^ '用户输入对话框 -(G2@NG Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 B!v1gh TextBox 220,21,40,21,.TextBox1 'default: 0 L\[jafb_` Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 MC@cT^Z^ OKButton 40,91,90,21 zZHsS$/ CancelButton 190,91,90,21 |T%/d#b~ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +h/$_5 TextBox 220,49,40,21,.TextBox2 'default: 4 o_n.,=/cZ End Dialog ]Y?$[+Y Dim dlg As UserDialog (I5ra_FVs @\R)k(F ok = Dialog (dlg) 5UbVg M~IiJ9{ If ok=0 Then 'cancel button was pressed `ijX9c Print "Execution cancelled." ($TxVFNT End :xV&%Qa1 End If 4$"Lf'sH6 L"a#Uu8 'Assign accommodation and pupil diameter & use defaults if field left empty |7-tUHMo[ If dlg.TextBox1 = "" Then s7?kU3y=s A = 0 'Default accommodation k*Kq:$9" Else : Ej IV]e A = CDbl(dlg.TextBox1) hbK+\X End If THJ+OnP ln.~ >FO If dlg.TextBox2 = "" Then 5a/)| pupilDiam = 4 'Default pupil diameter QI-3mqL Else l
O^h)hrR pupilDiam = CDbl(dlg.TextBox2) s"/8h#!zv End If m[pzu2R (2(hl--'n Print " " i/L1KiCLx Print "Accommodation = " & A & " Diopters" ^=ikxZyO Print "Pupil Diameter = " & pupilDiam & " mm" ){}#v& dXj.e4,m ' Calculate new parameters with accommodation /d4xHt5a taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4$^=1ax L0Cf@~k Rant = 12.0 - 0.4*A 'Radius of anterior lens [Dhc9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens U
uysG\ rW^&8E[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens SXL6)pX CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens K^S#?T|[9 Fi#t88+1 tlens = 3.767 + 0.04*A 'Lens thickness f
{
ueI< 2I7P}= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction |z~?"F6 Y< 2g$Wv :E3 'Adjust parameters to account for accommodation NXx}KF c JeA}d '************************************************************************* t^'1Ebg 'Aqueous thickness (Position of Lens) dw-r}Qioe '************************************************************************* mKg~8q 3
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X DX_c@U GetCustomElement eID, entity e:l 6; }&j&T9oX parID = FindFullName( "Geometry.Arizona Eye" ) %>.v[d1c s|%</fMt9 ' Delete any shift(s) in z ;kbz(:wA count = 0 ZFzOW While GetOperationCount(eID)>count DXUI/C f GetOperation eID, count, op P(4[<'HO If op.Type="ShiftZ" Then |] YT6-?. DeleteOperation eID,count fq(e~Aqw$ count=count-1 "$)2| End If T:ck/:ZH count=count+1 q8oEb Wend | @YN\g K; i8{jMe!Sa 'Set new shift in B}(YD;7vJ op.Type = "ShiftZ" CtfSfSAUuu op.val1 = taq Xy{b(b;9 op.parent = parID =4I361oMf AddOperation eID, op =$'Zmb
[D Print "Set aqueous humor thickness = " & taq-0.55 kC+A7k6 ?Cws25G '************************************************************************* :J"e{|g', 'Radius and conic constant of anterior lens Zy#r<j]T '************************************************************************* t@ Jo ?0s eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) \yxr@z1_b GetConic eID, entity, curv, conic :K&hGZ+5 t5_`q(: SetConic eID, entity, 1/Rant, CCant N>~*Jp2; Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "mOoGy,( -or9!:8 '************************************************************************* t.w?OyO 'Radius and conic constant of posterior lens ^R\blJQ<^ '************************************************************************* A=])pYE1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) QdRMp
n}q GetConic eID, entity, curv, conic cqq+#39iC Tx xc-$z SetConic eID, entity, 1/Rpost, CCpost 48DsRy Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5
9X|l&/ H(X~=r '************************************************************************* m/ukH{H1% 'Lens thickness (Position of posterior lens surface) 6y0C '************************************************************************* (lm/S_U$ &sRyM'XI parID = FindFullName( "Geometry.Arizona Eye.Lens" ) OJK/> Nr)(&c8 ' Delete any z-shift(s) $~-j-0
\m count = 0 uZ^i8;i While GetOperationCount(eID)>count *Dn{MD7,M GetOperation eID, count, op u-W=~EO5# If op.Type="ShiftZ" Then tEeMl =u DeleteOperation eID,count \uaJw\EZ count=count-1 ^?A+`1- End If ~%
c->\Q count=count+1 U".-C`4v Wend *vb)d0}P %Xi%LUk{ 'Set new z-shift e`oc#Od&x] op.Type = "ShiftZ" NX;&V7 op.val1 = tlens 83h3C EQ op.parent = parID oHYD6qJX{ AddOperation eID, op vuAjAeKm Print "Set lens thickness = " & tlens HfF$>Z'kM PTP2QAt '************************************************************************* YU`{ 'Lens index of refraction IlrmXSr '*************************************************************************
pGFocw eID = FindMaterial( "Lens" ) 9+:Trc\%N GetModelMaterial eID, mat \,Ndg*qC v\Hyu1;8 mat.Nd = nlens _e'mG'P( SetModelMaterial eID, mat L:<'TXsRA Print "Set lens index of refraction = " & nlens [>0r'-kI g9XtE '************************************************************************* $d"+Njd 'Pupil diameter v^tKT& '************************************************************************* h2>0#Vp3j eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) /p>[$`Aq
DXt^Ym5Cv 'Adjust pupil diameter (trimming volume inner hole) _X[c19q !xI![N^ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Jj " {r{ >U)O@W) ' Adjust pupil location to just in front of the lens BP6Shc|C parID = FindFullName( "Geometry.Arizona Eye" ) b ~gF,^w eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) msylb~ ^ count = 0 Zux2VepT While GetOperationCount(eID)>count @-}]~|< GetOperation eID, count, op E` |qFG< If op.Type="ShiftZ" Then ZTZE_[ DeleteOperation eID,count m!_ghD{5h count=count-1 ks D1NB;9 End If L nGSYrx1 count=count+1 "puz-W'n Wend I>aa'em op.Type = "ShiftZ" Mk[`HEO op.val1 = taq-0.01 @{uc op.parent = parID *q{UipZbx AddOperation eID, op =6&D4~R ]||=<!^kn Print "Set pupil diameter = " & pupilDiam 7g9 ^Jn *\", qMp 'Update AZ Eye subassembly Description 9 NQq=@ eID = FindFullName( "Geometry.Arizona Eye" ) S!_?# ^t GetEntity eID, entity TzGm562o% entity.Description = "Accommodation = " & A & "D" (_ah~VnO SetEntity eID, entity o"[bIXf-h bl_WN|SQ Update 6/ipdi[
_ Print "DONE!" ()?co<@(l :* b4/qpYv End Sub -FV'%X$i J|S^K kC 如果屈光度是4,光瞳直径是4,则会输出如下数据: ]xEE7H]\h +Q31K7G r Accommodation = 4 Diopters N'P,QiR,z< Pupil Diameter = 4 mm
}TJ|d= Set aqueous humor thickness = 2.81 u7Y< ~ Set anterior lens radius = 10.4 and conic constant = -2.375869 +|)1_NK Set posterior lens radius = -4.424557 and conic constant = -3.081019 NqE7[wH Set lens thickness = 3.927 <Cu?$ Set lens index of refraction = 1.42672 Ks2%F&\cE Set pupil diameter = 4 b.q"s6u DONE! T,2Dr; yVQz<tX| (文章来源:讯技光电)
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