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简介 J?)vsnD.H *>V6KW 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。 h#@l'Cye ( t#w@< 模型 4*&x% ~* Z2)f$ c 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。 i:Pg&474f D-9zg\\'` Table 1. AZ眼睛模型的定义 I.r&; 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. ^ 'FC. %E?:9. :NJ 光源 7s;<5xc ~QFD ^SoK 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。 FXV=D_G} Wg[?i C*~ 0bQaXxt|p 图1. 光源和提示信息使用 qF`;xa%,} 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。 + L;[-]E8 `!S5FE"- 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。 V9-pY/v9 #pBAGm3 图2. 字母F光源的设定方法光 +P/"bwv0 <*0MD6$5 图3. 字母F在视网膜上位置点列图 `~UCWK 视网膜的散射 I+D`\OSL pP68jL 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。 9Re605xQ6 kQC>8" r(yJE1Wz 图4. 视网膜朗伯散射设定 RKdf1C 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。 7loCb4Hv Ky|Hi3? uEWW Y t 图5. 视网膜重点采样规格设定 }r]WB)_w 脚本 %\_I%
yF 0t}=F4@&a 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: $ ;>, Oh6;o1UI 图6. 用户对话框的创建与编辑 8xj4N%PA 图7. 用户对话框编辑器 :>nk63V ( 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。 B
h@R9O< 余下的脚本计算与屈光度有关的所有参数。 Ox?LVRvxI '&Q_5\Tn 分析 ~^lQ[ x v|VY5vN 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 vF;6Y(h> M~I M;my 图7. 字母F在视网膜上颜色分析 XtT;UBE 脚本代码
~ i1w,;( KD$ P\(5# Option Explicit 'Remove this to enable non-dimensioned variables to be used. W2|*:<Jt nf,>l0,,' Dim entity As T_ENTITY $^I uE0. Dim op As T_OPERATION 6NbIT[LvT Dim mat As T_MODELMATERIAL 4v3y3 Dim A As Double f<xF+wE Dim pupilDiam As Double KZ ?<&x Dim eID As Long kOVx]= Dim parID As Long d`StBXG! Dim count As Integer ^wb -s Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double [4kx59J3b Dim tlens As Double, nlens As Double $Pzvv`f* Dim curv As Double, conic As Double ]O<Yr' Dim ok As Long J4j?rLR3p p!' "hx Sub Main WaWT
5|A ]WN{8 '用户输入对话框 u):z1b3*? Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1k2Ck TextBox 220,21,40,21,.TextBox1 'default: 0 j!mI9*hP Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 < t>N(e OKButton 40,91,90,21 hz Vpv,|G CancelButton 190,91,90,21 1kio.9NIp Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 H4k`wWOk TextBox 220,49,40,21,.TextBox2 'default: 4 uP|AP End Dialog VOG DD@ Dim dlg As UserDialog TT.EQv5 ~W5fJd0 ok = Dialog (dlg) J2aA"BhdC" akm) X0!-} If ok=0 Then 'cancel button was pressed UbC)XiO Print "Execution cancelled." |xQj2?_z* End m
oFK/5cJ End If A!fjw zZDG5_$n 'Assign accommodation and pupil diameter & use defaults if field left empty '9auQ(2 If dlg.TextBox1 = "" Then C1p
|.L?m A = 0 'Default accommodation &HFMF)NA Else F__DPEAc_ A = CDbl(dlg.TextBox1) s<:"rw` End If LrF'Hd=O VxjHB?) If dlg.TextBox2 = "" Then @=Ly#HuUM pupilDiam = 4 'Default pupil diameter En5Bsz! Else L2{to f pupilDiam = CDbl(dlg.TextBox2) Mk@ _uPm End If 1(q!.lPc 2(\>PN- Print " " .vG6\U7 Print "Accommodation = " & A & " Diopters" (d#?\ Print "Pupil Diameter = " & pupilDiam & " mm" 1)u=&t,
{:6VJ0s\ ' Calculate new parameters with accommodation .4_~ku taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gjo\gP@ 5U1@wfKE3> Rant = 12.0 - 0.4*A 'Radius of anterior lens G9E?
CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Q=e?G300#L WpTC,~- Rpost = -5.224557 + 0.2*A 'Radius of posterior lens p@cPm8L3 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens yaR|d3ef?4 fD,#z& tlens = 3.767 + 0.04*A 'Lens thickness 'd(}bYr) ~e%*hZNo nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction @q^WD_k !Toq~,a8? 'Adjust parameters to account for accommodation d:A+s>`$M i.F[.-. '************************************************************************* >^<qke 'Aqueous thickness (Position of Lens) ,0- '************************************************************************* j{p0yuZ)< eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !29
Rl`9 GetCustomElement eID, entity !o*oT}6n X+&@$v1 parID = FindFullName( "Geometry.Arizona Eye" ) ld9zOq yD(/y"P,9 ' Delete any shift(s) in z :&_@U$ count = 0 CZ]+B8Pl(x While GetOperationCount(eID)>count .>}we ~O GetOperation eID, count, op :M=!MgD3w If op.Type="ShiftZ" Then 3l4k2 DeleteOperation eID,count @Ki`g(],P count=count-1 u;=("S{"0 End If Bljh'Qp>C count=count+1 vKaX,)P;? Wend @Chj0wWZ> =FwFqjvl 'Set new shift in }O
o op.Type = "ShiftZ" It]CoAo+ op.val1 = taq f, ;sEV op.parent = parID VLQfuh; AddOperation eID, op )Xg#x: Print "Set aqueous humor thickness = " & taq-0.55 7Kh+m@q. Qz<v. _ '************************************************************************* a2).Az 'Radius and conic constant of anterior lens q=96Ci _a '************************************************************************* $]Fe9E? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >TL0hBaaR GetConic eID, entity, curv, conic Q%t8cJL [$] JvF SetConic eID, entity, 1/Rant, CCant hTg%T#m Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant c&'T By .5ingB3% '************************************************************************* qPzgGbmD9 'Radius and conic constant of posterior lens ^[qmELW#7 '************************************************************************* 7&T1RB'> eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0|4XV{\qT$ GetConic eID, entity, curv, conic I}?fy\1A& B&.XGo) SetConic eID, entity, 1/Rpost, CCpost u 4)i7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost lW>bXC 4|Z3;;%+ '************************************************************************* ,&l>^w/ 'Lens thickness (Position of posterior lens surface) '<XG@L '************************************************************************* bLf }U9 2+ 9">a@ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) E-!`6 #]:nQ( ' Delete any z-shift(s) L0uN|?} count = 0 t,=khZ While GetOperationCount(eID)>count _jnH!Mw GetOperation eID, count, op jUjQ{eT If op.Type="ShiftZ" Then K3\U'bRO DeleteOperation eID,count ii~~xt1 count=count-1 X0
%k`3 End If k6*2=
xK~ count=count+1 ]1p&*xX:Bj Wend r[~Km5 A\z[/3& RK 'Set new z-shift lDAw0 C3 op.Type = "ShiftZ" r0S"}<8O op.val1 = tlens &WsDYov? op.parent = parID JO1c9NyKr AddOperation eID, op gbKms;: Print "Set lens thickness = " & tlens QEtZ]p1H@ [g<6i.<I '************************************************************************* 5GpRN 'Lens index of refraction (^057 '************************************************************************* nDaQ1 eID = FindMaterial( "Lens" ) <$7*yV GetModelMaterial eID, mat xJZbax[ ~":?}) mat.Nd = nlens "4L' 2w+ SetModelMaterial eID, mat +KD~/}C%- Print "Set lens index of refraction = " & nlens LI(Wu6*Y cty.)e= '************************************************************************* 5z#>>|1># 'Pupil diameter 7?cZ9^z`w '************************************************************************* ],' n!:> eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) WO_cT26Y ;XGG&M%3 'Adjust pupil diameter (trimming volume inner hole) [h,T.zpa 9h~>7VeZ) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T`f9jD )/f,.Z$ ' Adjust pupil location to just in front of the lens v>0xHQD*<M parID = FindFullName( "Geometry.Arizona Eye" ) %.<w8ag eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) w,JB`jS)/ count = 0 !XgkK k While GetOperationCount(eID)>count 9I9J}&4 GetOperation eID, count, op g^8bY=*
. If op.Type="ShiftZ" Then L42C< DeleteOperation eID,count SAXjB;VH6 count=count-1 *crpM3fO> End If }&;0:hw% count=count+1 4JP01lq'\ Wend xae}8E op.Type = "ShiftZ" k(hes3JV op.val1 = taq-0.01 l=bB,7gL op.parent = parID 1>l{c AddOperation eID, op blxH`O! !]5F2~"v Print "Set pupil diameter = " & pupilDiam B||^sRMX 9k2HP]8=[{ 'Update AZ Eye subassembly Description mVU(u_lh eID = FindFullName( "Geometry.Arizona Eye" ) o_os; GetEntity eID, entity `^(6{p ? entity.Description = "Accommodation = " & A & "D" TZPWMCN4 SetEntity eID, entity K3'`!K a* +Bc/@.Q' Update --.: eFE/ Print "DONE!" Wu:vO2aw8 #).om*Xh End Sub fm:/}7s u`K+0^)T` 如果屈光度是4,光瞳直径是4,则会输出如下数据: ;c<:"ad( 3(6i6 vV Accommodation = 4 Diopters {EZ
; Pupil Diameter = 4 mm t'0r4&\ Set aqueous humor thickness = 2.81 )#i]exZ Set anterior lens radius = 10.4 and conic constant = -2.375869 CI$F#j Set posterior lens radius = -4.424557 and conic constant = -3.081019 5GT,:0 Set lens thickness = 3.927 A3yVT8 Set lens index of refraction = 1.42672 yIqsZJj Set pupil diameter = 4 p;BdzV> DONE! BI,K?D&W- kB"Sh_:m az0( 54M QQ:2987619807 ~F>oNbJIv
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