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简介 <tTNtBb Lb$Uba-_ 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。 `GqF/?i /TbJCZ 模型 iJ58RY u*l>)_HD 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。
'*Y mYU &S.p%Qe" Table 1. AZ眼睛模型的定义 w#9.U7@. 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. >;G_o="X wa[J\lW 光源 1Mq"f7X8
;Uch 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。 u^C\aujg L~+aD2E { %zc.b 图1. 光源和提示信息使用 @ ~{TL 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。 2pHR $GZ2 5Qg*j/z? 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。 :Dr4?6hdr ,%m~OB# 图2. 字母F光源的设定方法光 f(}&8~ & )+G0m,n 图3. 字母F在视网膜上位置点列图 G8F;fG N 视网膜的散射 aU +uPP 49/2E@G4. 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。 e+Mm!\;` )e[q%%ks QN;NuDHN 图4. 视网膜朗伯散射设定 jMWTNZ 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。 OvdBUcp[ :1'1n h Q Att 图5. 视网膜重点采样规格设定 Mf"(P.GIS 脚本 ;,/G*`81B 6UN{Vjr%` 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: jz'%(6#'gW k"dE?v\cG 图6. 用户对话框的创建与编辑 Yo5ged]i 图7. 用户对话框编辑器 /;TD n>lq 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。 HU
+271A8 余下的脚本计算与屈光度有关的所有参数。 brE%/%!e K~&3etQF 分析 T?n [1%K RionKiN 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 bMqS:+ UQ e1rf 图7. 字母F在视网膜上颜色分析 R $/q=*k 脚本代码 M+=q"#& '+|uv7|+v Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^s8JW" H |c]L]PU Dim entity As T_ENTITY tr
8Q{ Dim op As T_OPERATION >Y3zO 2Cr Dim mat As T_MODELMATERIAL 1{xkAy0 Dim A As Double &@&^k$du8q Dim pupilDiam As Double GO#eI]>/r Dim eID As Long 8r.MODZG/ Dim parID As Long jN+2+P%OL Dim count As Integer p{V(! v| Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double '~6l
6wi Dim tlens As Double, nlens As Double fK4O
N'[R: Dim curv As Double, conic As Double Zg])uM]\2i Dim ok As Long '#r^W2 x6yO2Yo Sub Main Fw#wVs)@: e+MsFXnB8 '用户输入对话框 j~ qm5} Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ciPaCrV TextBox 220,21,40,21,.TextBox1 'default: 0 Im`R2_(] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \y/0)NL\ OKButton 40,91,90,21 6`'K M/ CancelButton 190,91,90,21 /P{'nI Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 i;+<5_ TextBox 220,49,40,21,.TextBox2 'default: 4 4,6?sTuX End Dialog oW/H8 q<wY Dim dlg As UserDialog 1UH_"Q03 XOY\NMo ok = Dialog (dlg) ,Hc,]TPC4
cmLI!"RLe If ok=0 Then 'cancel button was pressed SQ`ec95', Print "Execution cancelled." CYk"
End }Tk*?tYt End If YP}r15P %t-}dC& 'Assign accommodation and pupil diameter & use defaults if field left empty "CT`]:GGK If dlg.TextBox1 = "" Then Z5>} A = 0 'Default accommodation 3DrW[\ Else y{qKb:~wv A = CDbl(dlg.TextBox1) Z@>WUw@F End If FiN B$A D|5Fo'O^AV If dlg.TextBox2 = "" Then EG!):P pupilDiam = 4 'Default pupil diameter cNuBWLG Else ^d/,9L\U pupilDiam = CDbl(dlg.TextBox2) }D#[yE,=\ End If K}Pi"Le@W }KL( -Ui$ Print " " *&yt;|y Print "Accommodation = " & A & " Diopters" /\uW[mt Print "Pupil Diameter = " & pupilDiam & " mm" {&Sr<d5 WPNvZg9*c ' Calculate new parameters with accommodation ^cYt4NHXn taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness )pt#Pu
+QFY.>KH Rant = 12.0 - 0.4*A 'Radius of anterior lens h|&qWv CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens bMF`KRP2 V}"w8i+D? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens [kg*BaG: CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens p[gq^5WuC N]@e7P'9F tlens = 3.767 + 0.04*A 'Lens thickness ig,v6lqhM E@$HO_;& nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 'x\{sv 0- -0+? 'Adjust parameters to account for accommodation <q#/z&F! AVv 8Hhd '************************************************************************* l7=WO#Pb 'Aqueous thickness (Position of Lens) FiJU
* '************************************************************************* f0lK,U@P eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5 l(Q#pSX GetCustomElement eID, entity L%O(
I p^QB^HEV parID = FindFullName( "Geometry.Arizona Eye" ) ZYX(Cf `]:&h' ' Delete any shift(s) in z v/lQ5R1 count = 0 -J=N While GetOperationCount(eID)>count $3MYr5
GetOperation eID, count, op u9%)_Q!14 If op.Type="ShiftZ" Then VjVL/SO/ DeleteOperation eID,count |F#L{=B count=count-1 q+-Bl End If x?B 8b-* count=count+1 (t)a u Wend DR6 OR B7 Tb6c]?'U 'Set new shift in #/Qe7:l op.Type = "ShiftZ" Mw+8p}E op.val1 = taq ?]L:j op.parent = parID Xz, sL AddOperation eID, op T&`H )o Print "Set aqueous humor thickness = " & taq-0.55 0Bpix|mq B}y-zj;T '************************************************************************* $w$4RQk3n 'Radius and conic constant of anterior lens ~?)ST?& '************************************************************************* 5#U*vGVT eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) n7S~nk GetConic eID, entity, curv, conic "Q ~-C|x aGz<Yip SetConic eID, entity, 1/Rant, CCant *Q8d&$ ^ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ?0VLx,kp M6b;
DQ '************************************************************************* }Myi0I< 'Radius and conic constant of posterior lens <2a7>\74E0 '************************************************************************* jreY'y: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 'j+J?Y^ GetConic eID, entity, curv, conic tCdgtZm {s=$.Kg
SetConic eID, entity, 1/Rpost, CCpost =K)au$BE| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost E}$K&<J'- 85fBKpEe '************************************************************************* `_;VD?")*l 'Lens thickness (Position of posterior lens surface) @: s |X '************************************************************************* _YH)E^If i}5
#n parID = FindFullName( "Geometry.Arizona Eye.Lens" ) |h,aV(Q E30VKh | ' Delete any z-shift(s) {]}}rx'|P count = 0 !.'@3-w] While GetOperationCount(eID)>count r$*p GetOperation eID, count, op .hCOi<wB If op.Type="ShiftZ" Then b:S#Sz$ DeleteOperation eID,count K6.*)7$# count=count-1 l }?'U End If 4V7{5:oa count=count+1 '~E&^K5hr Wend @,-xaZ[ Cp_YIcnEJ 'Set new z-shift (,E.1j]ji op.Type = "ShiftZ" QMzBx*g( op.val1 = tlens ^zv28Wq> op.parent = parID r)dT,X[}F AddOperation eID, op PF1m :Iz`d Print "Set lens thickness = " & tlens EV@xUq!x. : /9@p '************************************************************************* nJYcC"f 'Lens index of refraction 1_7}B4 '************************************************************************* @Zs}8YhC eID = FindMaterial( "Lens" ) 0j1I GetModelMaterial eID, mat DiAPs_@ 6M"]p mat.Nd = nlens
@>J4K#" SetModelMaterial eID, mat :Q\b$=,: Print "Set lens index of refraction = " & nlens w $7*za2 4b8!LzKS '************************************************************************* n2R{$^JxO 'Pupil diameter Frt_X % '************************************************************************* GCx]VN3& eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) <BQ4x.[ 8KD7t&H 'Adjust pupil diameter (trimming volume inner hole) O1@xF9< iuq-M?1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (i7]N[ Rtn.cSd ' Adjust pupil location to just in front of the lens MOyQ4<_ parID = FindFullName( "Geometry.Arizona Eye" ) Jjz:-Uqq2 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) K ^1bR(a count = 0 <!&&Qd-d6H While GetOperationCount(eID)>count z@cL<.0CE GetOperation eID, count, op vcAs!ls+ If op.Type="ShiftZ" Then S@zsPzw DeleteOperation eID,count fw_V'l#\ count=count-1 8@!/%"Kt2 End If r9G<HKl count=count+1 R{3f5**0 Wend |-I[{"6q$@ op.Type = "ShiftZ" l?B\TA^ op.val1 = taq-0.01 '1=t{Rw op.parent = parID bzmT.! AddOperation eID, op AFl]w'= QdG_zK>|e Print "Set pupil diameter = " & pupilDiam K!k,]90Ko r 9@W8](\ 'Update AZ Eye subassembly Description }7vX4{Yn eID = FindFullName( "Geometry.Arizona Eye" ) G;FY2;adK GetEntity eID, entity #P-S.b entity.Description = "Accommodation = " & A & "D" &&|*GAjJ SetEntity eID, entity 0,nDyTS^ #OH-LWZh Update xF5q=%n Print "DONE!" c0u!V+V% by&#g End Sub \A _g 9>qR6k? 如果屈光度是4,光瞳直径是4,则会输出如下数据: T?)?"b\qz BULX*eOt Accommodation = 4 Diopters .wx;!9 Pupil Diameter = 4 mm JMw1qPJQ Set aqueous humor thickness = 2.81 6Ez}A|i Set anterior lens radius = 10.4 and conic constant = -2.375869 N9Yc\?_NU_ Set posterior lens radius = -4.424557 and conic constant = -3.081019 y_38;8ex Set lens thickness = 3.927 h{yqNl Set lens index of refraction = 1.42672 8\`]T%h Set pupil diameter = 4 $TL~SVHj;{ DONE! Nj qUUkc
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