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简介 S?nNZW\6[ R!/,E 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。 ;%rs{XO9 ;sL6#Go?V 模型 ZU|V+yT X[~f:E[1J 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。 1!;"bHpk R5NRCI Table 1. AZ眼睛模型的定义 |,a%z-l 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. S0.- >"L EAC(^+15K 光源 #>E3' 5b Y1yXB).AH8 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。 @}&,W
N% M=\d_O#;Z 9!O+Ryy?\ 图1. 光源和提示信息使用 OP|.I._I 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。 [I++>4 "]SJbuzh 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。 !X\sQNp SrQ4y`? 图2. 字母F光源的设定方法光 3Y1TQ;i,wQ f0cYvL] 图3. 字母F在视网膜上位置点列图 $LxG>db 视网膜的散射 PtRj9TT uFrJ:l+ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 xS
H6n W;OYO ubzb 图4. 视网膜朗伯散射设定 ++T
"+p 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 S<y>Y d739UhKC gfdPx:7^ 图5. 视网膜重点采样规格设定 B7Ki@) 脚本 LM"W)S xI`Uk8- 8 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Y'<uZl^aX jlRl2 #" 图6. 用户对话框的创建与编辑 E !Oz|q 图7. 用户对话框编辑器 nxn[ ~~ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 `eMrP` 余下的脚本计算与屈光度有关的所有参数。 KD,^*FkkL Ks49$w< 分析 [0% yJH f7_\).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。 <?>I\ 2_oK5*j 图7. 字母F在视网膜上颜色分析 Njy9 JX 脚本代码 X\b}jo^96 36kc4= Option Explicit 'Remove this to enable non-dimensioned variables to be used. l#2r.q^$| a gmeiJT Dim entity As T_ENTITY aWHd}% Dim op As T_OPERATION ;1{iF2jZ: Dim mat As T_MODELMATERIAL ~h>rskJ_ Dim A As Double EFa{O`_@U Dim pupilDiam As Double RlI
W&y Dim eID As Long P;)2*:--) Dim parID As Long S\!
a"0$ Dim count As Integer LCo1{wi Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double LKK{j,g7 Dim tlens As Double, nlens As Double ]Wy^VcqX Dim curv As Double, conic As Double oTq%wi6 _ Dim ok As Long bGGeg%7 $Q`yNEc Sub Main ALE808;| ^G|w8t+^ '用户输入对话框 oJlN.Q#u& Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 pTa'.m TextBox 220,21,40,21,.TextBox1 'default: 0 {Ior.(D>Y Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 !XgQJ7y_Z OKButton 40,91,90,21 U=haXx4N CancelButton 190,91,90,21 DHh+%|e Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 8eOl@}bV TextBox 220,49,40,21,.TextBox2 'default: 4 k1^V?O End Dialog >VRo|o<D Dim dlg As UserDialog ]uBT & $Qn&jI38 ok = Dialog (dlg) bajC-5R1k iyA*JCD If ok=0 Then 'cancel button was pressed
~hS .\h Print "Execution cancelled." uHfhRc9 End 3q'K5}
_ End If $x;tSJ)m~ +G5'kYzJ 'Assign accommodation and pupil diameter & use defaults if field left empty gzl%5`DB w If dlg.TextBox1 = "" Then z7'n, [ A = 0 'Default accommodation |RHO+J Else =1gDjF9| A = CDbl(dlg.TextBox1) UlK/x"JDv End If xT{TVHdU C#A@)> If dlg.TextBox2 = "" Then Y
h^WTysBn pupilDiam = 4 'Default pupil diameter PRMZfYc Else fswZM\@ pupilDiam = CDbl(dlg.TextBox2) @;||peU End If h=X7,2/< -(6eVI Print " " >=4sPF) Print "Accommodation = " & A & " Diopters" 5|yZEwq Print "Pupil Diameter = " & pupilDiam & " mm" b0r,h)R II.<S C ' Calculate new parameters with accommodation <$"7~i/X taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness b2a'KczV }=Hf?';m Rant = 12.0 - 0.4*A 'Radius of anterior lens Sv.KI{;v$ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 08`f7[JQo] E2>im>p Rpost = -5.224557 + 0.2*A 'Radius of posterior lens vad|Rp l CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %0NL Rfp F?!FD>L{` tlens = 3.767 + 0.04*A 'Lens thickness 8r2XGR x*:n4FZ7b nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ].LJt['%8 D*|(
p6v1& 'Adjust parameters to account for accommodation kBrvl^D{5 kJ/+IGV^v '************************************************************************* aLV~|$:2 'Aqueous thickness (Position of Lens) w(aUEWYL '*************************************************************************
*hV4[= eID = FindFullName( "Geometry.Arizona Eye.Lens" ) .8-PB*vb GetCustomElement eID, entity 0 9tikj1 rU],J!LF parID = FindFullName( "Geometry.Arizona Eye" ) 7}gA0fP9 55LgBD ' Delete any shift(s) in z [`q.A`Fd count = 0 BeAk21xb While GetOperationCount(eID)>count h!QjpzQe GetOperation eID, count, op 3 Q@9S If op.Type="ShiftZ" Then AlUJ1^o) DeleteOperation eID,count 8^i[j\Y;6 count=count-1 Mk<m6E$L End If JFe4/
V count=count+1 OE6#YT Wend
1U ,Ie<'>hd 'Set new shift in 6s'[{Ov op.Type = "ShiftZ" [S%J*sz~ op.val1 = taq &.hoCPo$ op.parent = parID &/HoSj>HS AddOperation eID, op 'wa g |- Print "Set aqueous humor thickness = " & taq-0.55 d"Bo8`_ r8sdzz% '************************************************************************* 0xv\D0 'Radius and conic constant of anterior lens .hxin[Y '************************************************************************* n>n"{! eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) bH_I7G&m GetConic eID, entity, curv, conic ,dOMW+{ *JwFD^<j SetConic eID, entity, 1/Rant, CCant 6F,/w: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !`Le`c r;9z5' '************************************************************************* f7.m=lbe 'Radius and conic constant of posterior lens ZH% we '************************************************************************* Dp^95V@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |%-YuD GetConic eID, entity, curv, conic cFw3Iw"JJ ,b$z!dvhl SetConic eID, entity, 1/Rpost, CCpost t~q?lT Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost QJQJR/g $-Cy '************************************************************************* kw3+>{\ 'Lens thickness (Position of posterior lens surface) rj}(muM,R '************************************************************************* FbmsN)mv!% m!;G/s* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,|A{!j` SGQDro=l ' Delete any z-shift(s) wBLsz/ count = 0 ;e2Ij While GetOperationCount(eID)>count ("b*? : B GetOperation eID, count, op V>AS%lXj If op.Type="ShiftZ" Then Zct!/u9 Q DeleteOperation eID,count Y^yG/F count=count-1 L -YNz0A End If IOX:yxj count=count+1 0Lx3]"v Wend % oR>Uo 2!BsEvB( 'Set new z-shift sx:Hv1d op.Type = "ShiftZ" 3Mur*tj# op.val1 = tlens @\!ww/QT op.parent = parID RU7!U mf AddOperation eID, op J,9%%S8/C Print "Set lens thickness = " & tlens X'jr|s^s 7r[' '************************************************************************* fwy"w 'Lens index of refraction v:?o3
S '************************************************************************* &lU Ny
L eID = FindMaterial( "Lens" ) Hl/7(FJqc> GetModelMaterial eID, mat {79qtq%W{ 1!d)PK>1$ mat.Nd = nlens sSz%V[XWL SetModelMaterial eID, mat 4
]sCr+ Print "Set lens index of refraction = " & nlens brfKd]i {!MVc<G. '************************************************************************* YQ+^ 'Pupil diameter YroNpu]s '************************************************************************* jx'2N~$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) !:d L~n CB6 o$U 'Adjust pupil diameter (trimming volume inner hole) ,2ME2@OP @ R UP$ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" h mds(lv7 +O4( a. ' Adjust pupil location to just in front of the lens EQ/^& parID = FindFullName( "Geometry.Arizona Eye" ) oE6|Zw eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) bb}?h]a count = 0 `On3/gU| While GetOperationCount(eID)>count 5tMh/]IeS GetOperation eID, count, op m9woredS, If op.Type="ShiftZ" Then CIEJql?` DeleteOperation eID,count KXq_K:r? count=count-1 =&N$Vqn End If ydB$4ZB3[ count=count+1 `\ R{5TU Wend 8<{;=m8cQ op.Type = "ShiftZ" 'g~@"9'oe op.val1 = taq-0.01 2uEhOi0I op.parent = parID >(OYK}ZN AddOperation eID, op \q,s?`+B i%MA"I\9 Print "Set pupil diameter = " & pupilDiam -,|ha>r g}m+f]| 'Update AZ Eye subassembly Description c_Tzyh7l4 eID = FindFullName( "Geometry.Arizona Eye" ) Qm; BUG] GetEntity eID, entity JN|VPvjE entity.Description = "Accommodation = " & A & "D" >T QZk4$ SetEntity eID, entity rd">JEK;; xD4$0Ppu Update +aj^Cs1$ Print "DONE!" rFfy#e 0E1=W6UZ End Sub uOre,AQR I-bF{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 1AT'S;` "$DldHC Accommodation = 4 Diopters n]v7V&mj\ Pupil Diameter = 4 mm wFb@1ae\ Set aqueous humor thickness = 2.81 fnWsm4 Set anterior lens radius = 10.4 and conic constant = -2.375869 J.W Ho
c Set posterior lens radius = -4.424557 and conic constant = -3.081019 drIK(u\_ Set lens thickness = 3.927 +sRP<as Set lens index of refraction = 1.42672 7`dY 1.rq Set pupil diameter = 4 l])Q.m DONE! kW+G1| lLMPw}r< 7*;^UqGjz QQ:2987619807 h R~v
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