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简介 E^.y$d~ dS 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。 IT,TSs/Y AsRS7V 模型 4:\s.Z{!3 8oSndfV 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。 [sC]<2 r W;]*&P[[
Table 1. AZ眼睛模型的定义 D6iHkDTg 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. "_qH+=_R G<kslTPyq 光源 z6)SaSYE |-N\?N9" 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。 G:FP9 })OgsBk 3K2`1+kBVG 图1. 光源和提示信息使用 fF208A7U
I 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]l _qxv :)v4:&do 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。 AL/q6PWi +/60$60[z 图2. 字母F光源的设定方法光 D6,rb 9 m~ %\f8w-x 图3. 字母F在视网膜上位置点列图 Egv (n@1 视网膜的散射 &pS <4 /I{<]m$ 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。 ylF%6!V}4V 4,m
aA 8\m_.e 图4. 视网膜朗伯散射设定 Z(p kj 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。 ^[}^+ $m`?x5rL8 o5gt`H" 图5. 视网膜重点采样规格设定 .g.v 脚本 x^kV;^ I WjxOM\?# 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: `}gjfu -'\ T:aYv;#0 图6. 用户对话框的创建与编辑 >HatbbA 图7. 用户对话框编辑器 Hu|;cbK 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 n7`R+4/s 余下的脚本计算与屈光度有关的所有参数。 K!6k< /
%}Xiqlrd 分析 S[rz=[7{ !T/^zc;G 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K1 M s Al="ss&2 图7. 字母F在视网膜上颜色分析 :T(3!}4 脚本代码 1.YDIB|| (]0JI1
d Option Explicit 'Remove this to enable non-dimensioned variables to be used. '#REbY5ev m@)~.E Dim entity As T_ENTITY [(U:1&x& Dim op As T_OPERATION k3::5& Dim mat As T_MODELMATERIAL VSa\X~ Dim A As Double Heatt?(RR Dim pupilDiam As Double 7Z0fMk Dim eID As Long H(U`S Dim parID As Long eO#Kn'5 Dim count As Integer e[f}L xln Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double wP.b2X_V Dim tlens As Double, nlens As Double UN'[sHjOnD Dim curv As Double, conic As Double OnE#8*8 Dim ok As Long d 6 t#4! 25%[nkO4 Sub Main .6Tan2[% (055>D6 '用户输入对话框 %"|I`
m Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Tg|0!0qD]F TextBox 220,21,40,21,.TextBox1 'default: 0 -J8&!S8 X Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 T:& OKButton 40,91,90,21 hw/: CancelButton 190,91,90,21 Mz,G;x} Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 4SRX@/ #8* TextBox 220,49,40,21,.TextBox2 'default: 4 EYNi` End Dialog k^B<t' Dim dlg As UserDialog x"q!=&>f &5:83#*Oj ok = Dialog (dlg) 9<BC6M_/ *#p}>\Y{ If ok=0 Then 'cancel button was pressed xi|T7,\X Print "Execution cancelled." 2fIHFo\8 End g{wOq{7V End If yO\.dp ayR=GqZ1 'Assign accommodation and pupil diameter & use defaults if field left empty Q!7il<S If dlg.TextBox1 = "" Then gXZl3 A = 0 'Default accommodation m{T:<:q~ Else J?VMQTa/+ A = CDbl(dlg.TextBox1) ?`ETlFtD4 End If [\eh$r\ jroR2* If dlg.TextBox2 = "" Then L-Io!msb pupilDiam = 4 'Default pupil diameter bzYj`t? Else V0 70oZ pupilDiam = CDbl(dlg.TextBox2) QP HibPP: End If 8$)xxV_zp oPP`)b$x Print " " ?wM{NVt#- Print "Accommodation = " & A & " Diopters" +/+:D9j , Print "Pupil Diameter = " & pupilDiam & " mm" Z!HQ|')N5 a`/\0~ ' Calculate new parameters with accommodation kucH=96 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ndW]S 7 o@T-kAEf-. Rant = 12.0 - 0.4*A 'Radius of anterior lens 44@yQ? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens :(7icHa <5).(MTa Rpost = -5.224557 + 0.2*A 'Radius of posterior lens R^u 1(SF CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens L>xecep G,o5JL"t tlens = 3.767 + 0.04*A 'Lens thickness >#pZ`oPEAv j_]#Ew\q nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction \PU7,*2 Tfsx&k\ 'Adjust parameters to account for accommodation -d'swx2aZ! M/<>'%sj '************************************************************************* 2Kg-ZDK8 'Aqueous thickness (Position of Lens) s>pM+PoGYd '************************************************************************* +"P!es\q eID = FindFullName( "Geometry.Arizona Eye.Lens" ) vca]yK<u GetCustomElement eID, entity ylTX ]*/%5ZOI& parID = FindFullName( "Geometry.Arizona Eye" ) MgpjC` c+a" sx\ ' Delete any shift(s) in z <D}yqq@| count = 0 fX:=_c While GetOperationCount(eID)>count )h0
3sv GetOperation eID, count, op I='6>+P If op.Type="ShiftZ" Then *WzvPl$e DeleteOperation eID,count /+
yIcE(&3 count=count-1 a+!r5689 End If C3k[ipCN count=count+1 NC@L,)F Wend :<QmG3F .#Vup{. 'Set new shift in 8u|F %Sg op.Type = "ShiftZ" @1c[<3xJT op.val1 = taq nNc>nB1 op.parent = parID Mp-hNO}.Z AddOperation eID, op h85kQ^% Print "Set aqueous humor thickness = " & taq-0.55 'lWgHmE {e]ktj#+{ '************************************************************************* +H**VdM6s 'Radius and conic constant of anterior lens
b
fj]Q '************************************************************************* n[E/O}3& / eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) cqd}.D GetConic eID, entity, curv, conic ~~iFs ,9 a[Y\5Ojm SetConic eID, entity, 1/Rant, CCant 9]4 W Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant T8t_+|(
G 1`q>*S]( '************************************************************************* bnzIDsw!Q 'Radius and conic constant of posterior lens A6S|pO1)3 '************************************************************************* EK 8r V eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) wg}rMJoG| GetConic eID, entity, curv, conic qGkD] L YiGSFg SetConic eID, entity, 1/Rpost, CCpost ;
8B)J<y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost :jHDeF.A Eb~e=){ '************************************************************************* s2kom) 'Lens thickness (Position of posterior lens surface) lHI?GiB@ '************************************************************************* aGs\zCAP Ox%.We5 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) E``\Jre@ '7yVvd ' Delete any z-shift(s) L (@".{T count = 0 X%R ) While GetOperationCount(eID)>count
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GetOperation eID, count, op 2t}^8 If op.Type="ShiftZ" Then _t-e.2a
v DeleteOperation eID,count d`sIgll&n count=count-1 OhW o End If M{)|9F count=count+1 kP[LS1}* Wend LXq0hI ^@f-Ni\ 'Set new z-shift j21>\K!p op.Type = "ShiftZ" p%#=OtkC op.val1 = tlens Sau?Y op.parent = parID /VHQ!Wi AddOperation eID, op s$ZKd Print "Set lens thickness = " & tlens ;y]BXW&l& #-7m@EU;O '************************************************************************* J/>9w 'Lens index of refraction 5J2tR6u-( '************************************************************************* !V27ln KP+ eID = FindMaterial( "Lens" ) |_u|Td(n GetModelMaterial eID, mat :Oh*Q(> #v\o@ArX mat.Nd = nlens A|<i7QVY SetModelMaterial eID, mat a_(fqoW Print "Set lens index of refraction = " & nlens YDjjhe+ Z" N}f
, '************************************************************************* PL*1-t?# 'Pupil diameter U}c05GiQw '************************************************************************* `7
3I}%? eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;.I,R NM {1L{ 'Adjust pupil diameter (trimming volume inner hole) <o: O<p@6 /c!@ H(^) SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" z+{Q(8'b] 60X))MyN ' Adjust pupil location to just in front of the lens vC%Hc/&.} parID = FindFullName( "Geometry.Arizona Eye" ) 9/dI 6 P7 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XLj|y#h count = 0 PwS7!dzH- While GetOperationCount(eID)>count qt=nN-AC( GetOperation eID, count, op 2|JtRE+ If op.Type="ShiftZ" Then @,;VMO DeleteOperation eID,count I`uOsZBO/ count=count-1 fDrjR6xV End If v@Bk)Z count=count+1 k{E!X Wend Rd,5&X$ op.Type = "ShiftZ" R=<uf:ca op.val1 = taq-0.01 qs3V2lvYw{ op.parent = parID f19'IH$n{ AddOperation eID, op 5K {{o'' m:]60koz]o Print "Set pupil diameter = " & pupilDiam @%
.;}tC J?oEzf;M 'Update AZ Eye subassembly Description HC>MCwx=r eID = FindFullName( "Geometry.Arizona Eye" ) ?vg|;Q GetEntity eID, entity \!df)qdu entity.Description = "Accommodation = " & A & "D" uU!}/mbo SetEntity eID, entity =S< |