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简介 aAbK{=/y_! mhNX05D 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。 ?lPn{oB9" n%S%a>IQj 模型 ,<CFjtelO _Xqa_6+/ 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。 G (3wI} "y9]>9:$- Table 1. AZ眼睛模型的定义 69"4/n7B? 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. b)[2t^zG /g]NC? 光源 gX%"Ki7. c98^~vR]] 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。 c%+_~iBUN ymW? <\AD, \[J\I 图1. 光源和提示信息使用 5Ic'6AIz 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。 sd5)We `DFo:w!k 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。 <-h[I&." ^$AJV%3wI 图2. 字母F光源的设定方法光 rJM/.;Ag W%wc@.P 图3. 字母F在视网膜上位置点列图 9_b_O T 视网膜的散射 W; zzc1v 1\X_B`xwD 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 %HD0N& Y-s6Z\ 'Ul^V 图4. 视网膜朗伯散射设定 @$|8zPs 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。 96d&vm~m1 Djr/!j 7PW7&]-WQ 图5. 视网膜重点采样规格设定 rU
|% 脚本 VZ]}9k j0~dJ# 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: 0JXXJ:d B bIXD(5y 图6. 用户对话框的创建与编辑 ?dyt!>C 图7. 用户对话框编辑器 '!"rE1e 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。 %D49A-R 余下的脚本计算与屈光度有关的所有参数。 ~='}(Fg: 9]^q!~u 分析 F|&%Z(@a GD1L6kVd1 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (XNd]G B.4Or] 图7. 字母F在视网膜上颜色分析 jfU$qo!gi 脚本代码 7P:/ (P 8xt8kf*k Option Explicit 'Remove this to enable non-dimensioned variables to be used. GQ 0(lS ^8=e8O Dim entity As T_ENTITY @;X#/dZe Dim op As T_OPERATION 0C4Os p Dim mat As T_MODELMATERIAL C'6c, Dim A As Double RN2z/FUf Dim pupilDiam As Double "#8I &xZK Dim eID As Long w$0*5n>) Dim parID As Long (7C$'T-ZK Dim count As Integer |)OC1=As Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double zgl$ n Dim tlens As Double, nlens As Double f{-,"6Y1 Dim curv As Double, conic As Double )Vo%}g?6! Dim ok As Long JYnyo$m/ (\%J0kR3[ Sub Main D^S"6v"z 0E7h+]bh| '用户输入对话框 eB9F35[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 i(YR-vYK TextBox 220,21,40,21,.TextBox1 'default: 0 \rY\wa Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 i(4.7{* OKButton 40,91,90,21 bD=R/yA CancelButton 190,91,90,21 ;;N#'.xD Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I9h{fB TextBox 220,49,40,21,.TextBox2 'default: 4 3uL$+F End Dialog LX}|%- iv Dim dlg As UserDialog %edTW[C` LhSXz>AX ok = Dialog (dlg) em2Tet *i"Mu00b If ok=0 Then 'cancel button was pressed t$PJ*F67M Print "Execution cancelled." ;?Q0mXr End {<zE}7/2- End If _6->D[dB g&\;62lV% 'Assign accommodation and pupil diameter & use defaults if field left empty ]YY4{E(9d If dlg.TextBox1 = "" Then ^97[(89G9 A = 0 'Default accommodation i "aQm Else .*?)L3n+t A = CDbl(dlg.TextBox1) Lr Kx End If _8 l=65GW 7
6HB@'xY If dlg.TextBox2 = "" Then 4M;S&LA pupilDiam = 4 'Default pupil diameter 1pqYB]*u_ Else GuF-HP}xM pupilDiam = CDbl(dlg.TextBox2) b/4gs62{k End If bd3>IWihp `FK qVd Print " " z=4E#y`?U Print "Accommodation = " & A & " Diopters" @h5 Q?I Print "Pupil Diameter = " & pupilDiam & " mm" z'zC `F~Fb S ' Calculate new parameters with accommodation kdMB.~(K= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness xM>dv5<E %5;kNeD\Fq Rant = 12.0 - 0.4*A 'Radius of anterior lens KF7d`bRe CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens )5TX3#=;(G :~p_(rE Rpost = -5.224557 + 0.2*A 'Radius of posterior lens BbI),iP CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ?[
D6|gp nZ`=Up p) tlens = 3.767 + 0.04*A 'Lens thickness 4VzSqb `KE(R8y nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction &WdP=E" cSj(u%9} 'Adjust parameters to account for accommodation FYK}AR<= XV!UeBq '************************************************************************* :0Fwaw9PH" 'Aqueous thickness (Position of Lens) )EG-xo@X '************************************************************************* ik0w\* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5d|+ c< GetCustomElement eID, entity )Y?E$=M+B C|rl",& parID = FindFullName( "Geometry.Arizona Eye" ) 7RgnL<t~:8 K=2j}IPe ' Delete any shift(s) in z l`];CALA4 count = 0 3iiOxg?j While GetOperationCount(eID)>count ezd@>(hJ GetOperation eID, count, op lqKwjJtX If op.Type="ShiftZ" Then ]o_E]5"jO DeleteOperation eID,count B^hK count=count-1 *1}vn%wvn End If Vb2")+*: count=count+1 j MA%`*r Wend w2tkJcQ3 J1Y3>40 'Set new shift in qj?I*peK) op.Type = "ShiftZ" U3w*z6OG op.val1 = taq OL[_2m*;9p op.parent = parID 1 z[blNs& AddOperation eID, op >2)!w Print "Set aqueous humor thickness = " & taq-0.55 I3?:KVa sQT,@'" '************************************************************************* 3*b!]^d:D 'Radius and conic constant of anterior lens < YuI}d~' '************************************************************************* K9Pw10g' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) g/,O51f' GetConic eID, entity, curv, conic .]Z,O>N .LNqU#a SetConic eID, entity, 1/Rant, CCant q}5&B=2pM Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #60<$HO:Z @aGS~^Uh '************************************************************************* 4U:+iumy2 'Radius and conic constant of posterior lens !!t@H\ '************************************************************************* n1c Q#u eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) fKT(.VNq5 GetConic eID, entity, curv, conic fI0L\^b% #kGxX@0 SetConic eID, entity, 1/Rpost, CCpost on1mu't_; Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost e 3>k" KBGJB`D* '************************************************************************* k4 %> F 'Lens thickness (Position of posterior lens surface) G,i%:my7 '************************************************************************* ,K[B/tD{j ^SRa!8z$W parID = FindFullName( "Geometry.Arizona Eye.Lens" ) z'X_s.9F ? 5
V-D8k ' Delete any z-shift(s) l@YpgyqaL count = 0 ]t3
NA*mM While GetOperationCount(eID)>count Sq==)$G GetOperation eID, count, op J XnPKAN If op.Type="ShiftZ" Then gf2w@CVF>= DeleteOperation eID,count *)d|:q3 count=count-1 z*>CP End If ^q$vyY
count=count+1
ss3fq} Wend J0|}u1?l ^ihXM]1{G 'Set new z-shift i]LK,' op.Type = "ShiftZ" "$8<\k$LGT op.val1 = tlens osX23T~- op.parent = parID LGCL*Qbsg AddOperation eID, op .< vg[ Print "Set lens thickness = " & tlens T}]Ao ^NLKX5Q '************************************************************************* (^Do#3 'Lens index of refraction L ou4M '************************************************************************* qkUr5^1 eID = FindMaterial( "Lens" ) NI s4v(! GetModelMaterial eID, mat cCV"(Oo[H| )3B5"b, mat.Nd = nlens y!!+IeReS SetModelMaterial eID, mat Q84KU8?d Print "Set lens index of refraction = " & nlens A1ebXXD) $'FPst8Q< '************************************************************************* ,n!xzoX_ 'Pupil diameter 0XYO2k '************************************************************************* rrwsj` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3Ob"r` \
bT]?.si 'Adjust pupil diameter (trimming volume inner hole) JcVq%~{M $=m17GD SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" JN KZ'9 kyo ,yD ' Adjust pupil location to just in front of the lens Z%OS W parID = FindFullName( "Geometry.Arizona Eye" ) NxX1_d eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /l$noaskX count = 0 xf]4!zE While GetOperationCount(eID)>count -X}R(.}x GetOperation eID, count, op ]VYl Eqe If op.Type="ShiftZ" Then a@jP^VVk DeleteOperation eID,count !Z'm@,+ count=count-1 M7>\Qk End If Csc2 yI%3 count=count+1 ,6buo~?W: Wend GKd>AP_ op.Type = "ShiftZ" 3CHte*NL= op.val1 = taq-0.01 F_Pd\Aq8 op.parent = parID
#129 i2 AddOperation eID, op 86I* YWZF*,4 Print "Set pupil diameter = " & pupilDiam Go67VqJr O46/[{p+8 'Update AZ Eye subassembly Description P%lLKSA eID = FindFullName( "Geometry.Arizona Eye" ) B&$89]gs| GetEntity eID, entity 8Z!ea3kAT entity.Description = "Accommodation = " & A & "D" _/=ZkI5 SetEntity eID, entity 0Yjy ,RHHNTB(" Update sq^"bLw Print "DONE!" QE}@|H9xs O9y Q9sl End Sub o <'gM]$ X>6a@$Mx P 如果屈光度是4,光瞳直径是4,则会输出如下数据: Vi|jkyC8 #"M Pe4 Accommodation = 4 Diopters *3K"Kc2 Pupil Diameter = 4 mm Mww]l[1'EL Set aqueous humor thickness = 2.81 D/Wuan?yPN Set anterior lens radius = 10.4 and conic constant = -2.375869 +J4t0x Set posterior lens radius = -4.424557 and conic constant = -3.081019 u~kwNN9t3 Set lens thickness = 3.927 mN*P2* Set lens index of refraction = 1.42672 w8i!Qi#y5D Set pupil diameter = 4 @6!JW(,]\ DONE! I{PN6bn{>
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