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简介 donw(_= v{x{=M] 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。 >n5:1.g ni&*E~a
模型 $.St ej1 bucR">_p 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。 -5G)?J/* AF\T\mtvRm Table 1. AZ眼睛模型的定义 6"j_iB 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. 2h30\/xkU z+2V4s = 光源 w[Gh+L30=5 1m<RwI3s 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。 rPzQ8< ~89P[$6 .]4W!])9 图1. 光源和提示信息使用 }peBR80tQ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 /x@RNdKv f6<g3Q7Mu 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 dpZ;l 9 DLPUqKL] 图2. 字母F光源的设定方法光 7J$b$P0} Nf,Z;5e 图3. 字母F在视网膜上位置点列图 i?;r7> 视网膜的散射 jLg@FDb~ ["<nq`~ 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。 92W&x' aiCFH_H4;L V%
TH7@y 图4. 视网膜朗伯散射设定 R/b4NGW@ 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。 )bO BQbj [jx0-3s:X ig"uXs 图5. 视网膜重点采样规格设定 $.6K!x{( 脚本 "+ "{+k5t `A%^UCd 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ~IVd vm7 {Ng oYl 图6. 用户对话框的创建与编辑 -!qu"A: 图7. 用户对话框编辑器 &`|:L(+ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 iSK+GQ~ 余下的脚本计算与屈光度有关的所有参数。 I lR\
# > Vb@[ 分析 rk2xKm^w wl=61Mb 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 H Yr}wG qgt[ ~i* 图7. 字母F在视网膜上颜色分析 5R$G(Ap_ 脚本代码 DbX{#4lx +y+"Fyl Option Explicit 'Remove this to enable non-dimensioned variables to be used. I 1d0iU Upl6:xYrG Dim entity As T_ENTITY k?nQ?B
W Dim op As T_OPERATION JF9yVE - Dim mat As T_MODELMATERIAL j'%4{n Dim A As Double C=Fzu&N} Dim pupilDiam As Double #4LFG\s Dim eID As Long G>qZxy`c Dim parID As Long $V>98M>j Dim count As Integer RNVbcd Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /{2*WI; Dim tlens As Double, nlens As Double ge3sU5iZ Dim curv As Double, conic As Double \h<BDk* Dim ok As Long 5@Bu99` HY;o^drd Sub Main ?VU(Pq*` "ceed)(: '用户输入对话框 MWk:sBCqr Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 vY|^/[x#B TextBox 220,21,40,21,.TextBox1 'default: 0 ~`;rNnOT3 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 X8eJ4% OKButton 40,91,90,21 Z[!d*O%R_ CancelButton 190,91,90,21 _#e&t"@GS Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 vh!v
MB}} TextBox 220,49,40,21,.TextBox2 'default: 4 6Z?j AXGSq End Dialog K[\'"HyQ,X Dim dlg As UserDialog :m=m}3/: _;A $C( ok = Dialog (dlg) 57{oh") Dz=k7zRg" If ok=0 Then 'cancel button was pressed G}@#u9 Print "Execution cancelled." %m5Q"4O End gQSNU_o Z End If !%<^K.wG PHg48Y"Nd 'Assign accommodation and pupil diameter & use defaults if field left empty y]..=z_ql If dlg.TextBox1 = "" Then h<l1]h+x A = 0 'Default accommodation ER2GjZa\z Else p_*M:P1Ma4 A = CDbl(dlg.TextBox1) !
ueN|8' End If g o5]<4`r M/PFPJ >` If dlg.TextBox2 = "" Then ^_I} x)i*@ pupilDiam = 4 'Default pupil diameter $h9='0Wi0' Else wCs3:@UH
pupilDiam = CDbl(dlg.TextBox2) j;yf8Nf End If e)nimq
{6 ){s*n=KIO Print " " M
x5`yT7 Print "Accommodation = " & A & " Diopters" ;P &y,:<m: Print "Pupil Diameter = " & pupilDiam & " mm" _,Fny_u=; m4k
Bj*6c{ ' Calculate new parameters with accommodation HWns.[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Q0?\]2eet9 X C86-b)E Rant = 12.0 - 0.4*A 'Radius of anterior lens "Y`3DxXz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens rn@`yTw^ r,SnXjp@ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens :_<_[Y]1 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
r#PMy$7L m4K* < tlens = 3.767 + 0.04*A 'Lens thickness r90+,aLM#? :qhpL-ER nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Bsf7mcXz7z {P9J8@D 'Adjust parameters to account for accommodation DVZdClAL yn
AB '************************************************************************* EO|:FcW 'Aqueous thickness (Position of Lens) 9CGNn+~YI '************************************************************************* K`}{0@ilCw eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0oA{Jix GetCustomElement eID, entity RhI;;Y#@ B@Co'DV[/] parID = FindFullName( "Geometry.Arizona Eye" ) _3iHkQr ubsSa}$q ' Delete any shift(s) in z tary6K9K+ count = 0 i
LBvGZ<9 While GetOperationCount(eID)>count g3n'aD@'x GetOperation eID, count, op P`4]-5gE If op.Type="ShiftZ" Then Z#d&|5Xj DeleteOperation eID,count gieN9S count=count-1 ~na!@<zB{ End If tbo>%kn count=count+1 0X8t>#uF Wend k;PAh>8 j*@l"V>~ 'Set new shift in /StTb, op.Type = "ShiftZ" c'6g*%2k op.val1 = taq MvLs%GE% op.parent = parID k-V,~c AddOperation eID, op +[@z(N-h Print "Set aqueous humor thickness = " & taq-0.55 e"]8T}, MfO:m[s '************************************************************************* f|A
riM 'Radius and conic constant of anterior lens Z 2}ah '************************************************************************* Q'l^9Bz eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (YBMsh GetConic eID, entity, curv, conic vzzE-(\\e +cJy._pi! SetConic eID, entity, 1/Rant, CCant mvW% Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant
`0H g y= |Z\R*b" '************************************************************************* >4Y3]6N0.F 'Radius and conic constant of posterior lens h2z_,`iS7 '************************************************************************* .M,RFC eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -50HB`t GetConic eID, entity, curv, conic %98' @$:0 &*G<a3Q SetConic eID, entity, 1/Rpost, CCpost ~ *:F{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost i"zuil -U~ '************************************************************************* G)#$]diNuX 'Lens thickness (Position of posterior lens surface) ?7:KphFX) '************************************************************************* rrg96WD U<"WK"SM parID = FindFullName( "Geometry.Arizona Eye.Lens" ) v}@xlB= ~vLW.: ' Delete any z-shift(s) rn DCqv!'P count = 0 ?oZR.D|SZ While GetOperationCount(eID)>count 7e7 M@8+4 GetOperation eID, count, op Er/bO If op.Type="ShiftZ" Then ~pa!w?/bQ DeleteOperation eID,count ~/NKw: count=count-1 s &Dg8$ End If A[G0 .>Wk count=count+1 |r
ue=QZ Wend zX5!vaEv %6Q4yk 'Set new z-shift >56>*BHD op.Type = "ShiftZ" pZ`|iLNl- op.val1 = tlens bNT9 H`P op.parent = parID ob+euCuJ AddOperation eID, op %1pYEHn Print "Set lens thickness = " & tlens ]# t6Jwk 0CSv10Tg '************************************************************************* y"]n:M:( 'Lens index of refraction Ehzo05/! '************************************************************************* zYXV; eID = FindMaterial( "Lens" ) [ dtbkQt,c GetModelMaterial eID, mat <Q|d&vDVfV Uax+dl mat.Nd = nlens (F7(^.MG SetModelMaterial eID, mat Gm*X'[\DD Print "Set lens index of refraction = " & nlens 9nu3+.&P 'B+ ' (f '************************************************************************* Q{e\}wN 'Pupil diameter H>r!i4l '************************************************************************* :akT 'q# eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 0$r^C6}f >-&R47G 'Adjust pupil diameter (trimming volume inner hole) 6c0>gUQx- MX>[^}n SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" F~ Lx|)0M 4Llo`K4 ' Adjust pupil location to just in front of the lens "~TA SX_? parID = FindFullName( "Geometry.Arizona Eye" ) j*xV!DqC eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Ym;*Y !~[ count = 0 8H[:>;SI While GetOperationCount(eID)>count x8GJY~:SW GetOperation eID, count, op ZiLj=bh If op.Type="ShiftZ" Then J>d.dq>r DeleteOperation eID,count (a9d/3M count=count-1 j,]Y$B End If H@]MXP[_ count=count+1 <\?wAjc, Wend R$zH] op.Type = "ShiftZ" \h8 <cTQ op.val1 = taq-0.01 iQ{G(^sZN op.parent = parID iR"N13 AddOperation eID, op r'gOVi4t1* F;^F+H Print "Set pupil diameter = " & pupilDiam `~eUee3b.~ |7x\m t 'Update AZ Eye subassembly Description K98i[,rP eID = FindFullName( "Geometry.Arizona Eye" ) gv5*!eI GetEntity eID, entity ^n0]dizB entity.Description = "Accommodation = " & A & "D" @JdZ5Q SetEntity eID, entity YJ$1N!rG q+,Q<2J Update hMtf.3S7c Print "DONE!" S*yjee<@ E!S 78z: End Sub ,AT[@ b86}% FM 如果屈光度是4,光瞳直径是4,则会输出如下数据: +>JjvYx}\ ~i 7^P9 Accommodation = 4 Diopters 37}D9:#5C Pupil Diameter = 4 mm ?7{H|sI Set aqueous humor thickness = 2.81 $ImrOf^qt Set anterior lens radius = 10.4 and conic constant = -2.375869 qe5feky Set posterior lens radius = -4.424557 and conic constant = -3.081019 V^;jJ'] Set lens thickness = 3.927 Z1"v}g Set lens index of refraction = 1.42672 irjP>3_e Set pupil diameter = 4 4*$G & TX DONE! ->N8#XH2= NO :a; W^"AU;^V56 QQ:2987619807 m8.U &0
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