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简介 SYOND>E Z}5;K"T/ 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。 mA|!IhM c6:"5};_ 模型 IX7< (A}##h 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。 OQ;DqV %`t;5kmR Table 1. AZ眼睛模型的定义 wyzj[PDS 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. %fGS< W; %K@D{)r_^ 光源 cE
'`W7&A @kK${ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。
n4h@{Xg 0C#1/o)o ,[71,zs 图1. 光源和提示信息使用 %=xR$<D 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。 {0+gPTp c^S^"M| 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。 HF"
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\ "gADHt=MIR 图2. 字母F光源的设定方法光 jhr{JApbJv .iNPLz1 图3. 字母F在视网膜上位置点列图 n_Px=s!1p@ 视网膜的散射 m646|G5 *y9 iuJ} 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。 XO~xbG7>gZ S 0eD
2 Z"<aS&GH 图4. 视网膜朗伯散射设定 ;aExEgTq 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。 X2hV)8Sk 9->E$W M:z)uLDw 图5. 视网膜重点采样规格设定 n8DWA`[ib 脚本 "K5n |{# uvz}qH@j/Q 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ;Y5"[C9| L']EYK5 图6. 用户对话框的创建与编辑 7^P!@o$v! 图7. 用户对话框编辑器 QkBT,c 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。 {|c
<8 余下的脚本计算与屈光度有关的所有参数。 {y0#(8-& 8'Sw?FbVA/ 分析 )eop:!m fo9O+e s 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jFf2( AR Y[k%<f 图7. 字母F在视网膜上颜色分析 NTS
tk{s, 脚本代码 Wu(6FQ`H SV}q8z\ Option Explicit 'Remove this to enable non-dimensioned variables to be used. s7e)Mt o65:)z
u Dim entity As T_ENTITY -e_IDE Dim op As T_OPERATION uUu]JDdz Dim mat As T_MODELMATERIAL
s.&ewf\ Dim A As Double Z[<rz6%cB Dim pupilDiam As Double gVjI1{WTK Dim eID As Long 0{#c Dim parID As Long !7"-9n Dim count As Integer H6X]D"Y, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]S4 TX Dim tlens As Double, nlens As Double 0Po",\^ Dim curv As Double, conic As Double KSU?Tg&JR Dim ok As Long -fIX6 QNj hA '[T Sub Main ":E
7#9 ?3~]H '用户输入对话框 m,NUNd#)\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G{
~pA4 TextBox 220,21,40,21,.TextBox1 'default: 0 5 fY\0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 xzTTK+D@ OKButton 40,91,90,21 A@-nn] CancelButton 190,91,90,21 #D~atgR Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 @ de_|*c TextBox 220,49,40,21,.TextBox2 'default: 4 d%VG@./xq End Dialog Nv}'"V> Dim dlg As UserDialog 6KC.l}Y* Njsz= ok = Dialog (dlg) <cm,U)j2 |!:ImX@ If ok=0 Then 'cancel button was pressed ~`)`Ip Print "Execution cancelled." -jy-KC End }mQ7N&cC End If Qfx(+=| qXPjxTg{[ 'Assign accommodation and pupil diameter & use defaults if field left empty >ly`1t1 If dlg.TextBox1 = "" Then T^.;yU_B? A = 0 'Default accommodation ]Tk3@jw+b Else O Z<iP A = CDbl(dlg.TextBox1) }Pd S?[R End If /T&z
:st0 Mqc" If dlg.TextBox2 = "" Then S\=j; Uem pupilDiam = 4 'Default pupil diameter b@j**O>[q) Else O* `v1> pupilDiam = CDbl(dlg.TextBox2) 7ukJ\P5[&1 End If Y-\/Y*;cd ;/?M&rX Print " " O|j(CaF Print "Accommodation = " & A & " Diopters" ))f%3_H Print "Pupil Diameter = " & pupilDiam & " mm" 1M+o7HO.mG 5VIc ' Calculate new parameters with accommodation R{Q*"sf taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness `t_S uZ`V ??eSGQ| Rant = 12.0 - 0.4*A 'Radius of anterior lens Im7<\ b@ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens eaLSq JW[y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens wz^Q,Od CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens >PdYQDyVS AuIb>@a tlens = 3.767 + 0.04*A 'Lens thickness P__JN\{9 QCB2&lN\&L nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction L1=+x^WQ w@w(AFV9/ 'Adjust parameters to account for accommodation xG:eS:iT PqV9k,5f '************************************************************************* (
HCB\!g 'Aqueous thickness (Position of Lens) eF+:w:\h '************************************************************************* ^Xv_y+ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) LVNq@,s GetCustomElement eID, entity hu}`,2 c\"t+/Z parID = FindFullName( "Geometry.Arizona Eye" ) 'p<lfT I3 /^{-n ' Delete any shift(s) in z )p*I(y count = 0 w#]> Nf While GetOperationCount(eID)>count NAd|n+[d GetOperation eID, count, op ":s1}A If op.Type="ShiftZ" Then '<!
b}1w0 DeleteOperation eID,count Cm@e^l! count=count-1 7<{g+Q~7* End If X"_,#3Ko! count=count+1 l&3f<e Wend U9k;)fK | R MIV 'Set new shift in 2R9AYI op.Type = "ShiftZ" ]D(!ua5|x` op.val1 = taq thG;~W op.parent = parID 69#mj*p@+ AddOperation eID, op y/U(v"'4U Print "Set aqueous humor thickness = " & taq-0.55 3ZdheenK9 lAjP'( '************************************************************************* Qtj.@CGB 'Radius and conic constant of anterior lens {Up@\M '************************************************************************* DmDsn eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :)f/>-
GetConic eID, entity, curv, conic ~*:{U 7{<:g! SetConic eID, entity, 1/Rant, CCant 1Rrp#E} Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant (-k`|X" X!=E1TL '************************************************************************* }:JE*D| 'Radius and conic constant of posterior lens YrlOvXW '************************************************************************* S$9>9!1>* eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) QwF\s13 GetConic eID, entity, curv, conic I*,!zym j7L uN SetConic eID, entity, 1/Rpost, CCpost j1/.3\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 80qSPitj FR%9Qb7 '************************************************************************* pkWJb! 'Lens thickness (Position of posterior lens surface) dnRS$$9# '************************************************************************* z1wJ-l B[XVTok parID = FindFullName( "Geometry.Arizona Eye.Lens" ) &T7|f!y !~X[qT ' Delete any z-shift(s) Djv0]Sm^! count = 0 P-B3<~*i! While GetOperationCount(eID)>count 21(8/F ~{ GetOperation eID, count, op &.dC% If op.Type="ShiftZ" Then "ecG\}R= DeleteOperation eID,count o}EipTL count=count-1 SePPI.n End If n*%o!= count=count+1 :{#%_^}k Wend y2"PKBK\_ NBLiwL37{ 'Set new z-shift <P)U Ggd op.Type = "ShiftZ" +rT%C&ze op.val1 = tlens um/2.Sn> op.parent = parID Z0o+&3a6 AddOperation eID, op wUUDq?!k\ Print "Set lens thickness = " & tlens <5Ft3sd h8R3N?S3# '************************************************************************* 3Z,J&d`[ 'Lens index of refraction bCv=Uo,+6 '************************************************************************* . X(^E eID = FindMaterial( "Lens" ) x#wkODLqi GetModelMaterial eID, mat }b$?t7Q) @|e4.(9A mat.Nd = nlens X5s.F%Np! SetModelMaterial eID, mat _e2=BE`W) Print "Set lens index of refraction = " & nlens |r5e#3w rE:"8d}z '************************************************************************* c~_nOd 'Pupil diameter F0yvV6; '************************************************************************* M:%6$`` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) /O,>s Ino$N|G[ 'Adjust pupil diameter (trimming volume inner hole) HIK"Ce ejr9e@D^ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" M%*D}s-QE B=0U^wL ' Adjust pupil location to just in front of the lens X#625h parID = FindFullName( "Geometry.Arizona Eye" ) (P(=6-0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) L5+X& count = 0 Iq76JJuCb While GetOperationCount(eID)>count '7lHWqN< GetOperation eID, count, op x,CTB If op.Type="ShiftZ" Then Y]zy=8q DeleteOperation eID,count NNKI+!vg count=count-1 :K:oH}4oh End If |2i=oX(r| count=count+1 5y
9(<}z Wend &U_YDUQ'L op.Type = "ShiftZ" Ry$zF~[ op.val1 = taq-0.01 {}sF?wZf op.parent = parID %l4;-x<e AddOperation eID, op F&tU^(7< b"Z$?5 Print "Set pupil diameter = " & pupilDiam {;z{U;j C:*=tD1 'Update AZ Eye subassembly Description Q9i&]V[` eID = FindFullName( "Geometry.Arizona Eye" ) r JvtE}x1 GetEntity eID, entity 3MmpB9l#H entity.Description = "Accommodation = " & A & "D" _H,xnh#nZ SetEntity eID, entity S.<aCN<@ )bd)noZi Update 3/aK#TjK Print "DONE!" mJ_5Vt= qjcPJ End Sub bvay7 cEdf&*_-'I 如果屈光度是4,光瞳直径是4,则会输出如下数据: [~aRA'qJ{V Qu
x1N Accommodation = 4 Diopters %>z4hH, Pupil Diameter = 4 mm >/]`
f8^ Set aqueous humor thickness = 2.81 p\'0m0*
Set anterior lens radius = 10.4 and conic constant = -2.375869
6#J>b[Q Set posterior lens radius = -4.424557 and conic constant = -3.081019 YaBZ#$r Set lens thickness = 3.927 ?Iin/ <y Set lens index of refraction = 1.42672 "jUM}@q5 Set pupil diameter = 4 yb-1zF| DONE! Jw4#u5$$Z wV604eO( X7bS{GT QQ:2987619807 & t.G4
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