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简介 X8C7d6ca 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。 *z0!=>( S?~0)EXj( 模型 -|>~I#vY DAn2Pqf 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。 5EYGA\ Sd7jd ?#9' Table 1. AZ眼睛模型的定义 c_8&4 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. U^m#!hp (t&RFzE?G 光源 f{BF%; > 0^<<=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。 w h$bDTCj c1YDln Al>d
21U 图1. 光源和提示信息使用 J1w;m/oV 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 #GzALF97 8>KUx]AN 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 qTsy'y;Z IJ^~,+
图2. 字母F光源的设定方法光 yRXML\Ge o'2eSm0H 图3. 字母F在视网膜上位置点列图 :So<N}& 视网膜的散射 xo>0j# C- .;m 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 GJ9>i)+h; <4}m:
M @5&. 图4. 视网膜朗伯散射设定 Ss[[V(- 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 z8\YMr6o nFnM9
pdMK (Pc>D';{S 图5. 视网膜重点采样规格设定 ;aQ``B 脚本 l=DF)#>w #U:|-
a.> 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: I&-r^6Yx "U\RN 图6. 用户对话框的创建与编辑 !"^Zr]Qt+\ 图7. 用户对话框编辑器 ^exU]5nvz 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 uw;Sfx,s 余下的脚本计算与屈光度有关的所有参数。 4H{t6t@-: z,,"yVk`, 分析 {&5lZ<nu8A }c/p;< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 sfF ~k- G6p gG+w 图7. 字母F在视网膜上颜色分析 Oeh A3$|# 脚本代码 .a4,Lr#q. (`(D
$% Option Explicit 'Remove this to enable non-dimensioned variables to be used. 8t!jo.g ^/C\:hw Dim entity As T_ENTITY u*C*O4f>OC Dim op As T_OPERATION P:{Aqn~zR Dim mat As T_MODELMATERIAL s~M$Wo8 Dim A As Double b A+_/1C Dim pupilDiam As Double 1T!o`* Dim eID As Long q?!HzZ Dim parID As Long `~XksyT Dim count As Integer s= %3`3Fo Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double H^d?(Svh Dim tlens As Double, nlens As Double /.]u%;%r[ Dim curv As Double, conic As Double xfRp_;l+R Dim ok As Long Kd:l8%+ Wga2).j6 Sub Main )7 57
#b ^6> '用户输入对话框 T5:Q_o] Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 8pnD6Lp> TextBox 220,21,40,21,.TextBox1 'default: 0 od=hCQ1> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 x Lan1V OKButton 40,91,90,21 wAHuPQ&_Q CancelButton 190,91,90,21 o`YBz~2 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !v8R( TextBox 220,49,40,21,.TextBox2 'default: 4 ?I+{S End Dialog |[`YGA4 Dim dlg As UserDialog 1KZigeHXI #)'Iqaq7 ok = Dialog (dlg) <$s6?6P mG~kf]Y If ok=0 Then 'cancel button was pressed /EjXyrn2 Print "Execution cancelled." M-@RgWvF End G_+/ e]P End If cZVx4y%kz pX&bX_F{ 'Assign accommodation and pupil diameter & use defaults if field left empty MT!Y!*-5
If dlg.TextBox1 = "" Then riW9l6s' A = 0 'Default accommodation 2;gvo*k Else JCcYFtW A = CDbl(dlg.TextBox1) KElEGW End If 8dR `T} }+@!c%TCx~ If dlg.TextBox2 = "" Then 8UU
L= pupilDiam = 4 'Default pupil diameter x,C8):\t`B Else 0/v]YK. pupilDiam = CDbl(dlg.TextBox2) YE`Y t End If r^5%0_F] P!79{ 8 Print " " .Y6v#VI Print "Accommodation = " & A & " Diopters" lie,A Print "Pupil Diameter = " & pupilDiam & " mm" C>|.0:[% s4fO4.bn m ' Calculate new parameters with accommodation ~cc }yDe taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /4T6Z[=s (
v*xW. Rant = 12.0 - 0.4*A 'Radius of anterior lens /ZyMD(_J CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Ao\P|K9MyL ].Yz
=: Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yeiIP CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ]hV!lG1_ 7<su8*? tlens = 3.767 + 0.04*A 'Lens thickness \Y!#Y#c ^]sb=Amw nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Nvd(?+c w=#'8ZuU 'Adjust parameters to account for accommodation 'LMj.#A<g @_kF&~ '************************************************************************* vv.E6D^x( 'Aqueous thickness (Position of Lens) sT;wHtU '************************************************************************* G QYR`;> eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0B(s+#s GetCustomElement eID, entity Rq|6d
M6H 3O,nNt;L{ parID = FindFullName( "Geometry.Arizona Eye" ) {wC*61@1 IL|Q-e}Ol ' Delete any shift(s) in z @eJ8wf] count = 0 {dZ]+2Z~+ While GetOperationCount(eID)>count U;W9`JT<.f GetOperation eID, count, op PIU@}:} If op.Type="ShiftZ" Then x|m9?[
!_ DeleteOperation eID,count HQ@g6 count=count-1 joI) 6c End If `,'/Sdr count=count+1 Bf*>q*%B{ Wend fHd[8{;P: <<!fA><W 'Set new shift in OTF/Pu$ op.Type = "ShiftZ" '^TeV= op.val1 = taq /K|(O^nw op.parent = parID p{5m5x AddOperation eID, op qHZDo[ Print "Set aqueous humor thickness = " & taq-0.55 PcC@}3 0Agse) '************************************************************************* "r46Rfa 'Radius and conic constant of anterior lens ]mMJ6n '************************************************************************* &IN%2c eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) j Mn,N9Mf GetConic eID, entity, curv, conic SAdT#0J zjA]Tr SetConic eID, entity, 1/Rant, CCant N" L&Z4Z Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ~yJ 2@2I lQ?jdi '************************************************************************* ~)f^y!PMQ 'Radius and conic constant of posterior lens bg Ux&3 '************************************************************************* zx%WV@O9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Rq}lW.<r GetConic eID, entity, curv, conic Mw0>p5+ cy *,JE[M SetConic eID, entity, 1/Rpost, CCpost :e7\z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @[lMh9` ES4Wtc)& '************************************************************************* ],SQD3~9 'Lens thickness (Position of posterior lens surface) o=R(DK# U '************************************************************************* 7}VqXUwabx #VrIU8Q7' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^m%#1Zd #B5,k|"/,M ' Delete any z-shift(s)
] :;x,$k count = 0 gl+d0<Rzw While GetOperationCount(eID)>count K\2{SjL:B GetOperation eID, count, op rD=D.1_
If op.Type="ShiftZ" Then 14 & KE3` DeleteOperation eID,count uj6'T Sl count=count-1 ?zBu`7j End If ]i#p2?BR count=count+1 YHEn{z7 Wend U|3!ixk>>w ~bZ=]i 'Set new z-shift j4owo#OB- op.Type = "ShiftZ" I5M\PK/ op.val1 = tlens ZHK>0>; op.parent = parID ]$ "eGHX AddOperation eID, op 5VV}w R Print "Set lens thickness = " & tlens 0:v!' Oin9lg-jR '************************************************************************* =3X>Ur 'Lens index of refraction :$"{-n '************************************************************************* >IIq_6Z# eID = FindMaterial( "Lens" ) JjS+'A$A5 GetModelMaterial eID, mat mU-2s%X<.^ +b-ON@9]J` mat.Nd = nlens w~u{"E$ SetModelMaterial eID, mat R->x_9y-R Print "Set lens index of refraction = " & nlens a|FkU%sjzZ Qx4)'n '************************************************************************* ,m<YSMKX 'Pupil diameter \!\:p/f '************************************************************************* J|BElBY eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FC1rwXL( 2{h2]F 'Adjust pupil diameter (trimming volume inner hole) 6o^>q&e}% yq-~5ui SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W p)!G R0=f` ; ' Adjust pupil location to just in front of the lens i%9vZ parID = FindFullName( "Geometry.Arizona Eye" ) tL OGj?/r eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) eaFkDl count = 0 kD#n/RBgf While GetOperationCount(eID)>count
Lw\u{E@ GetOperation eID, count, op |<c9ZS+ If op.Type="ShiftZ" Then 0ZjT.Ep DeleteOperation eID,count h*VDd3[# count=count-1 &|XgWZS5 End If %<>:$4U@] count=count+1 I#MPJ@*WT Wend >.qFhO\1so op.Type = "ShiftZ" 5b:1+5iF- op.val1 = taq-0.01 ZhY{,sy?QO op.parent = parID zls^JTE AddOperation eID, op pX_ 4;L|Ua Print "Set pupil diameter = " & pupilDiam Yd3lL:M Bb=r?;zjO 'Update AZ Eye subassembly Description MUl`0H"tR eID = FindFullName( "Geometry.Arizona Eye" ) ''9]`B,:a0 GetEntity eID, entity 0HWSdf|w entity.Description = "Accommodation = " & A & "D" k)3N0]q6 SetEntity eID, entity R%3yxnM* ~3bV~H#~m Update >3/mV<g f Print "DONE!"
b*Qd9 |6Y:W$7k End Sub C?|sQcCE eA1g}ipm 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,&,%B|gT] KRxJ2 Accommodation = 4 Diopters e&x)g;bn Pupil Diameter = 4 mm wxHd^b Set aqueous humor thickness = 2.81 #+o$Tg Set anterior lens radius = 10.4 and conic constant = -2.375869 c$1u Set posterior lens radius = -4.424557 and conic constant = -3.081019 QqF<HCO Set lens thickness = 3.927 4vL\t
uoz Set lens index of refraction = 1.42672 _zDS-e@ Set pupil diameter = 4 j(y<oxh DONE! 7D<Aa?cv_l r#WqXh_uk (文章来源:讯技光电)
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