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简介 9F##F-%x 4IsG=7 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。 ;hDa@3|]34 =$^MQ\S0p 模型 r o\1]`6 ^vni&sJ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 m&Y i!7@( x]4Kkpqm Table 1. AZ眼睛模型的定义 }iiHr|l3 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. #@f[bP}a v#oi0-9o[ 光源 #1/}3+=5B @wN
G 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 z@U}~TvP D$r
Uid 5<+K?uhm 图1. 光源和提示信息使用 M]rO;^ ;6? 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。 mY-hN| `!4,jd 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。 Akk
3 Qx "8<K'zeS8 图2. 字母F光源的设定方法光 SaDA`JmO -,#+`>w 图3. 字母F在视网膜上位置点列图 QwWW!8 视网膜的散射 ~(X(& mOBACTY^ 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。 wSXVyg{ xBM>u,0.F zF&=U`v 图4. 视网膜朗伯散射设定 v}(6 <wnnS 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。 KtN&,C )lJ -1%OlKC +pmu2}E.3 图5. 视网膜重点采样规格设定 I-@?guZ r 脚本 \=e8%.#@J b]fzRdhl 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: WNX5iwm /@oLe[Mz$ 图6. 用户对话框的创建与编辑 /DFV$+9 图7. 用户对话框编辑器 ig#r4nQ= 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ][@F 余下的脚本计算与屈光度有关的所有参数。 &X>7n~@0 (/{aJV 分析 Lc2QXeo8 1Y/$,Oa5 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]7YNIS -*ELLY[ 图7. 字母F在视网膜上颜色分析 ^))RM_ic 脚本代码 R)8s
msx-O=4g Option Explicit 'Remove this to enable non-dimensioned variables to be used. F2I 5qC/ x~DLW1I Dim entity As T_ENTITY PGn);Baq Dim op As T_OPERATION nHOr AD|& Dim mat As T_MODELMATERIAL =t0tK}Y+4 Dim A As Double y-aRXF=W Dim pupilDiam As Double ?A*Kg;IU Dim eID As Long oOU1{[ Dim parID As Long J ++v@4Z Dim count As Integer al^!,ykc Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /pH(WHT+/H Dim tlens As Double, nlens As Double b~Y%gC)FR Dim curv As Double, conic As Double ,J=P,]( Dim ok As Long |L3X_Me `#s#it'y Sub Main FiAY\4 m.Lij!0 '用户输入对话框 ii|?; Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 8/%6@Y"Y* TextBox 220,21,40,21,.TextBox1 'default: 0 1}m3; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ?8V
UOx OKButton 40,91,90,21 z}4L=KR\v CancelButton 190,91,90,21 8;gXg Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +b$S~0n
TextBox 220,49,40,21,.TextBox2 'default: 4 Gpj* V|J End Dialog @E9" Zv-$ Dim dlg As UserDialog mqtg[~dNc Sr Ca3PA ok = Dialog (dlg) U]6&b !kuX,*}q If ok=0 Then 'cancel button was pressed fC-P.:F#I Print "Execution cancelled." LO%!Z,} End HM[klH]s= End If {=:#S+^ER wD\ZOn_J 'Assign accommodation and pupil diameter & use defaults if field left empty Yg|lq9gD If dlg.TextBox1 = "" Then 3\$wdUFr A = 0 'Default accommodation *s4\\Wb= Else TV59(bG.2 A = CDbl(dlg.TextBox1) >7Jr^o#|_x End If q?j|K|%
-b;|q.! If dlg.TextBox2 = "" Then 5N7H{vT_ pupilDiam = 4 'Default pupil diameter Qt>>$3]!! Else MHj,<|8Q pupilDiam = CDbl(dlg.TextBox2) n`7f"'/: End If u eb-2[= afEF]i Print " " ;\;M =&{} Print "Accommodation = " & A & " Diopters" g(x9S'H3l Print "Pupil Diameter = " & pupilDiam & " mm" \[:/CxP n]Li->1 ' Calculate new parameters with accommodation /*)Tl taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness (<*e .N m su+s Rant = 12.0 - 0.4*A 'Radius of anterior lens `_X;.U.Mv CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /s:fW+C \6I+K" Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {MdLX.ycc) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ! ]`
#JAL7 9SQ4cv*2 tlens = 3.767 + 0.04*A 'Lens thickness Q%S9fq,q wBk@F5\< nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction nR;D#"p% ZAKeEm2A 'Adjust parameters to account for accommodation >ezi3Zx^ @Yw,nQE)b '************************************************************************* K*-@Q0"KM{ 'Aqueous thickness (Position of Lens) Y]|:?G7l] '************************************************************************* E-5_{sc eID = FindFullName( "Geometry.Arizona Eye.Lens" ) xw^.bz| GetCustomElement eID, entity P$GjF-!: &[mZD, parID = FindFullName( "Geometry.Arizona Eye" ) Y.#:HRtgW F/d7q%I ' Delete any shift(s) in z 6vKS".4C count = 0 ,"0)6=AE While GetOperationCount(eID)>count #K\?E.9h GetOperation eID, count, op FCj{AD If op.Type="ShiftZ" Then ti5HrKIw DeleteOperation eID,count @F*wg count=count-1 |R/.r_x,V? End If I`(l *U count=count+1 `Mj}md;O" Wend '\#EIG m#/_x 'Set new shift in +k<w!B*
op.Type = "ShiftZ" ~ (On|h op.val1 = taq `Pn[tuIO op.parent = parID `Hx~UH) AddOperation eID, op q"qo.TPh|$ Print "Set aqueous humor thickness = " & taq-0.55 tMx}*l|] BKa-
k! '************************************************************************* #:x4DvDkR 'Radius and conic constant of anterior lens -5l6&Y '************************************************************************* f$HH:^# eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) qo6y %[ GetConic eID, entity, curv, conic .9[45][FK 7IlOG~DC SetConic eID, entity, 1/Rant, CCant wd@aw / Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant m(iR|Zx 69y;`15 '************************************************************************* A=zPLq{Sb 'Radius and conic constant of posterior lens M]v=- '************************************************************************* x"P);su eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |WryBzZ>on GetConic eID, entity, curv, conic DHC+C4 C`jM0Q SetConic eID, entity, 1/Rpost, CCpost X6+qpp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _M[,!{ C Qcjc, '************************************************************************* ^-CINt{O 'Lens thickness (Position of posterior lens surface) cV{%^0?D '************************************************************************* J/!cGr(B~ h4pTq[4* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) q-ES6R J~B
7PW ' Delete any z-shift(s) spofLu. count = 0 ;!<
Znw While GetOperationCount(eID)>count D<i[LZd GetOperation eID, count, op BElJB&I If op.Type="ShiftZ" Then >gKh DeleteOperation eID,count # {fTgq count=count-1 8.=\GV End If hd V1nS$ count=count+1 e}VBRvr Wend t2" (2 w6dFb6~R 'Set new z-shift -F"QEL# op.Type = "ShiftZ" yV3^Qtb! op.val1 = tlens (R~]|?:wt op.parent = parID 9mc!bj^811 AddOperation eID, op >>Ts?? Print "Set lens thickness = " & tlens 3cS2gxF o'~5pS(wq '************************************************************************* gG%V 9eOQ 'Lens index of refraction Ch()P.n? '************************************************************************* $GQ`clj< eID = FindMaterial( "Lens" ) [ao
U5;7 GetModelMaterial eID, mat h0oMTiA ?; YC'bF mat.Nd = nlens "1q>At SetModelMaterial eID, mat
B<8N96fx Print "Set lens index of refraction = " & nlens '$As<LOEd/ qzw'zV '************************************************************************* GhY1k"; 'Pupil diameter }ZSQ>8a '************************************************************************* -5>-%13 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6<,dRn n26Y]7N 'Adjust pupil diameter (trimming volume inner hole) 6J~12TU, CSbI8 5F SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" X.K<4N0A9J ?.c;oS| ' Adjust pupil location to just in front of the lens WD;Y~| parID = FindFullName( "Geometry.Arizona Eye" ) ._wkj eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) c(co\A.]:6 count = 0 Bx"7%[ While GetOperationCount(eID)>count Nfe>3uQK GetOperation eID, count, op SYeadsvF If op.Type="ShiftZ" Then 2>-S-;i DeleteOperation eID,count vB37M@wm count=count-1 fl
Jp4-nx End If {Y}dv`G#Iu count=count+1 wi8Yl1p]!z Wend =Cv/Y%DN op.Type = "ShiftZ" :0K8h op.val1 = taq-0.01 q1y/x@ op.parent = parID }pkj:NT AddOperation eID, op vhvdKD
{:c]|^w6 Print "Set pupil diameter = " & pupilDiam zL5d0_E9 `G1&Z]z 'Update AZ Eye subassembly Description 04J}UE]Ww eID = FindFullName( "Geometry.Arizona Eye" ) 2RF^s.W GetEntity eID, entity (3[z%@I entity.Description = "Accommodation = " & A & "D" (qn2xrV SetEntity eID, entity s%iOUL2/ Nf3.\eR Update mD:IO Print "DONE!" &2-L.Xb <?D[9Mk$ End Sub ]maYUKqv}' 4GG>!@| 如果屈光度是4,光瞳直径是4,则会输出如下数据: = 5D nR =S[yE]v^ Accommodation = 4 Diopters !$A 37j6 Pupil Diameter = 4 mm {Z; jhR, Set aqueous humor thickness = 2.81 #jpoHvth Set anterior lens radius = 10.4 and conic constant = -2.375869 6b8;}],| Set posterior lens radius = -4.424557 and conic constant = -3.081019 %or,{mmiM: Set lens thickness = 3.927 #{r#;+ Set lens index of refraction = 1.42672 k^$+n_ Set pupil diameter = 4 uUE9g DONE! Q@e[5RA+] D7]#Xk2 ` b !5^W QQ:2987619807 gIR^)m
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