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简介 xF|P6GXg 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。 Z*r;"WHB dC&{zNG 模型 E(t:F^z&D .FV
wZ:d 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。 r(qAe{ VL6_in( Table 1. AZ眼睛模型的定义 ~:h-m\=8Y 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. ~\4`tc z +NxO!y 光源 gN"Abc H# P)n
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M 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。 9hoTxWpmy _Nze="Pt ~r(/)w\ 图1. 光源和提示信息使用 snU
$Na3 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 -TL `nGF rID_^g_tP8 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 V*
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^ WsHC%+\' 图2. 字母F光源的设定方法光 24)Sf OXT'$]p.* 图3. 字母F在视网膜上位置点列图 lawjGI 视网膜的散射 6:PQkr y]9PLch]vZ 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。 z'iAj pS [nKcyj "0BuQ{CQ 图4. 视网膜朗伯散射设定 i,k.#Vx[m 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。 gW0{s[}T Y@&1[Z ]U9f4ODt 图5. 视网膜重点采样规格设定 8vP:yh@ 脚本 g7>p, G5;N#^myJ 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: bKAR}JM& CqF=5z:A 图6. 用户对话框的创建与编辑 pUTC~|j%: 图7. 用户对话框编辑器 <OYy;s 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。 _6Ex}`fyJ
余下的脚本计算与屈光度有关的所有参数。 IdY\_@$ v B Q)1)8r 分析 :#yjg1aej y[L7=Td 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _dg2i|yP< 7&I+mw/X 图7. 字母F在视网膜上颜色分析 I $5*Puy# 脚本代码 \1 ^qfw *F ya
qJ) Option Explicit 'Remove this to enable non-dimensioned variables to be used. C`)n\?:Sth P5&mpl1 Dim entity As T_ENTITY 627xR$U~ Dim op As T_OPERATION M@R_t(&= Dim mat As T_MODELMATERIAL *{/L7])gm Dim A As Double 'Dh+v3O Dim pupilDiam As Double X?B9Z8 Dim eID As Long O&ur|&v Dim parID As Long rSGt`#E-s. Dim count As Integer M=HP!hn Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double p_K``JE Dim tlens As Double, nlens As Double !i"Z Dim curv As Double, conic As Double d&!ZCq#_e Dim ok As Long $d@_R^]X i;' kQ Sub Main zVSbEcr,C~ ."8bW^: '用户输入对话框 ig] hY/uT Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *58`}] TextBox 220,21,40,21,.TextBox1 'default: 0 j|WuOZm\0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 M*& tVG OKButton 40,91,90,21 =*ZQGM 3w CancelButton 190,91,90,21 c5 jd
q[0 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 d8Keyi8[ TextBox 220,49,40,21,.TextBox2 'default: 4 5LPyPL L End Dialog {95z\UE} Dim dlg As UserDialog z /
YF7wrx Hg~O0p}[ ok = Dialog (dlg) f/_RtOSw `0]kRA8= If ok=0 Then 'cancel button was pressed L} >XH* Print "Execution cancelled." Wq4>!| End P^1+;dL,D End If ev bqBb21b 6$d3Ap@Gl 'Assign accommodation and pupil diameter & use defaults if field left empty pi'w40!: If dlg.TextBox1 = "" Then FIB 9W@oao A = 0 'Default accommodation uk8vecj Else ZTq"SQ>ym A = CDbl(dlg.TextBox1) L(a){<c End If #i#4h<R e``X6=rcG If dlg.TextBox2 = "" Then ~|LlT^C pupilDiam = 4 'Default pupil diameter =bVaB<! Else "`sr# pupilDiam = CDbl(dlg.TextBox2) ac/=%om8u End If "IK QFt' b
r"47i Print " " 8veYs` Print "Accommodation = " & A & " Diopters" Jgf73IX[ Print "Pupil Diameter = " & pupilDiam & " mm" {}vB#! UuNcBzB2d ' Calculate new parameters with accommodation kJ;fA|(I taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Nb))_+/ sj)$o94= Rant = 12.0 - 0.4*A 'Radius of anterior lens s'&/8RR CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens qqm7p
,j sT. :"Pj$ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens }RGp)OFY& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens -Qs4s 1NP(3yt% tlens = 3.767 + 0.04*A 'Lens thickness *3S./C} M_o<6C nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 1>JUI5 { XQ+KI:g2 'Adjust parameters to account for accommodation L*A9a 4FmT.P '************************************************************************* De^GWO.?bT 'Aqueous thickness (Position of Lens) W!$aK )]4u '************************************************************************* 0;*1g47\ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) vm3B>ACJ GetCustomElement eID, entity R7/"ye:7J 4X0k1Fw)Y parID = FindFullName( "Geometry.Arizona Eye" ) qusX]Tstz {b|:q>Be8 ' Delete any shift(s) in z ]Zfg~K( count = 0 G~oGBq6Gz While GetOperationCount(eID)>count 6cCC+*V{ GetOperation eID, count, op qOyg&]7 If op.Type="ShiftZ" Then {x3"/sF DeleteOperation eID,count .t/XW++ count=count-1 D[.;-4"_ End If *x^W`i
count=count+1 `@8QQB Wend ail%#E8 >680}\S 'Set new shift in 93zoJiLRf op.Type = "ShiftZ" 3y}0J @ op.val1 = taq K._tCB: op.parent = parID dtK[H+ AddOperation eID, op a$f$CjQ Print "Set aqueous humor thickness = " & taq-0.55 ={Bcbj{ ,a N8`M '************************************************************************* 1^G*)Qn5Df 'Radius and conic constant of anterior lens .xRJ )9q '************************************************************************* Z J:h] eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?v]EXV3 GetConic eID, entity, curv, conic gO0X-fN8 S>W_p~@ SetConic eID, entity, 1/Rant, CCant CzP?J36W^ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant &E0d{2 Cr?|bDv}o '************************************************************************* oy I8}s: 'Radius and conic constant of posterior lens ?a~59!u '************************************************************************* )aW;w |#n eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0dv# [ GetConic eID, entity, curv, conic PU0Ha {rQSB;3 SetConic eID, entity, 1/Rpost, CCpost ]8)nIT^EP Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XBd/,:q Fa}3UVm '************************************************************************* @dl{.,J 'Lens thickness (Position of posterior lens surface) [TUy><Z '************************************************************************* dQD YN_ u:~2:3B parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4Wz@^7|V5 &xKln1z' ' Delete any z-shift(s) +Y7"!wYR> count = 0 W @R\m=e2 While GetOperationCount(eID)>count ]L/h,bVI1 GetOperation eID, count, op (*{Y#XD{ If op.Type="ShiftZ" Then -+^E5 DeleteOperation eID,count q~*9A-MH count=count-1 ~b.C[s End If 1P(5+9"s count=count+1 ~p9nAACU Wend ?P<8Zw ,BGaJ|k 'Set new z-shift $a^YJY^_ op.Type = "ShiftZ" qmNg Ez% op.val1 = tlens ]njObU)[zr op.parent = parID J2rw4L AddOperation eID, op )f#raXa5+ Print "Set lens thickness = " & tlens 5F#Q1gP- nE$8-*BZ_ '************************************************************************* WCK;r{p%I 'Lens index of refraction W{pyU\ '************************************************************************* -4
~(* eID = FindMaterial( "Lens" ) >=G-^z: GetModelMaterial eID, mat YVcFCl -0W s3 mat.Nd = nlens @FC|1=+ SetModelMaterial eID, mat g^ @9SU Print "Set lens index of refraction = " & nlens iUNlNl ? *V@>E2@ '************************************************************************* [1OX:O| 'Pupil diameter R07 7eX '************************************************************************* X~m*` UH eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) azEN_oUV >_R,^iH" 'Adjust pupil diameter (trimming volume inner hole) [^oTC; cV=0)'&<`_ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" FU;b8{Y *{_WM}G ' Adjust pupil location to just in front of the lens 3aD\J_ parID = FindFullName( "Geometry.Arizona Eye" ) Y9YE:s eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) oqLM-=0<} count = 0 ,C4gA(')K While GetOperationCount(eID)>count [SnnOq Ww GetOperation eID, count, op ^oykimYI- If op.Type="ShiftZ" Then <oFZFlY@ DeleteOperation eID,count ~"eQPTd count=count-1 A6ar@$MZ End If I.C,y\ count=count+1 y(^hlX6gQ Wend FLWQY, op.Type = "ShiftZ" U|[+M@F_L op.val1 = taq-0.01 mpsi{%gA
op.parent = parID `5J`<BPs AddOperation eID, op M/!5r Xs,[Z2_iq Print "Set pupil diameter = " & pupilDiam ';HNQe?vT
E{):zg 'Update AZ Eye subassembly Description A>0wqT eID = FindFullName( "Geometry.Arizona Eye" ) WF'Di4
GetEntity eID, entity `~~.0QC entity.Description = "Accommodation = " & A & "D" G<dWh.|`= SetEntity eID, entity pwu8LQ3b{O )/32sz]~ Update P~6QRm Print "DONE!" -XbO[_Wf
#b^x! lR End Sub ceKR?%8 s L%hVts' 如果屈光度是4,光瞳直径是4,则会输出如下数据: HU~,_m \A~r~ Accommodation = 4 Diopters [,@gSb|D? Pupil Diameter = 4 mm IJ#G/<ZJZ Set aqueous humor thickness = 2.81 m VSaC Set anterior lens radius = 10.4 and conic constant = -2.375869 |._9;T-Yde Set posterior lens radius = -4.424557 and conic constant = -3.081019 0=WZ 8|R Set lens thickness = 3.927 %.NOQ<@W Set lens index of refraction = 1.42672 ;usv/8 Set pupil diameter = 4 5.]eF$x2 DONE! ('9LUFw\ -GqMis}c (文章来源:讯技光电)
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