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简介 Z<Ke/Xi 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。 "0A !fRI~ rXg#_c5j 模型 ;Quk%6;[N 3%SwCYd 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。 #Q_
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3SWO_ Table 1. AZ眼睛模型的定义 K9N\E"6ZP 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. w 7 j
hS zJa,kN|m 光源 J |TA12s l?LP:;S 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。 d<^o@ G8voqP lip1wR7 图1. 光源和提示信息使用 h4dT N} 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。 lCMU{) =M+enSu 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。 By-A1|4Cp` /MQI5Djg 图2. 字母F光源的设定方法光 Oe*+pReSD vT>ki0P_; 图3. 字母F在视网膜上位置点列图 WAt | J2 视网膜的散射 5PU$D`7it 34\:1z+s M 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ,k5b,}tN .V:H~ qdeS*rp\ 图4. 视网膜朗伯散射设定 XN1\!CM8 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 !F&Ss|(} AmmUoS\ ,|
EaW& 2 图5. 视网膜重点采样规格设定 H6PS7g" 脚本 N [iv.B *q.qO )X}3 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: m;"i4! d,9YrwbD 图6. 用户对话框的创建与编辑 4uG:*0{Yx 图7. 用户对话框编辑器 _U`_;=( 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 oAgO3x
余下的脚本计算与屈光度有关的所有参数。 M4 :}`p=
p;VHg 分析 |P"p/iY <U ?_-0 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Jj$N3UCg7 ua]>0\D 图7. 字母F在视网膜上颜色分析 m
pWmExQ 脚本代码 p kR+H| C4jqT Option Explicit 'Remove this to enable non-dimensioned variables to be used. YQI&8~z ,^UNQO*{GI Dim entity As T_ENTITY k*8
ld-O Dim op As T_OPERATION pU |SUM Dim mat As T_MODELMATERIAL 62X;gb Dim A As Double FM3DJ?\L- Dim pupilDiam As Double `E),G;I Dim eID As Long }I\hOL Dim parID As Long KF"&9nB Dim count As Integer C?3?<FDL Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double T*%Q s&x; Dim tlens As Double, nlens As Double k2xOu9ncEj Dim curv As Double, conic As Double /k(KA [bS Dim ok As Long t(|\3$z kR0d]"dr Sub Main ]~SOGAFW S"Dw8_y7} '用户输入对话框 ]oN:MS4r Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 tp,e:4\8Q TextBox 220,21,40,21,.TextBox1 'default: 0 Er6'Ig|U Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 oD]riA>jC OKButton 40,91,90,21 72gQ<Si CancelButton 190,91,90,21 u*ZRU
4U Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ,h'q}5 TextBox 220,49,40,21,.TextBox2 'default: 4 etEm#3 End Dialog ~
l'dpg Dim dlg As UserDialog sz' IGy% Q]Fm4 ok = Dialog (dlg) Sn\S`D {o?+T);Z If ok=0 Then 'cancel button was pressed ]8|cVGMa Print "Execution cancelled." H
h4G3h0 End |(E.Sb End If 6O^'J~wiI S?W!bkfn 'Assign accommodation and pupil diameter & use defaults if field left empty *;~*S4/P If dlg.TextBox1 = "" Then H*DWDJxmV A = 0 'Default accommodation s^X(G!V{c Else ic}M)S FD; A = CDbl(dlg.TextBox1) |=7ouFl End If @iZ"I i&+ lD;="b If dlg.TextBox2 = "" Then ^<8
c`k )e pupilDiam = 4 'Default pupil diameter qYHAXc}$ Else %E95R8SL pupilDiam = CDbl(dlg.TextBox2) . mDh9V5 End If :HrD[KT sbZ$h
< Print " " &R54?u^A Print "Accommodation = " & A & " Diopters" vV.TK_y Print "Pupil Diameter = " & pupilDiam & " mm" %z6.}4h -uDB#?q:W ' Calculate new parameters with accommodation &j\<UPn taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness G:f\wK[ }t tiL Rant = 12.0 - 0.4*A 'Radius of anterior lens A4,tv#z CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens !%' 1x2? 8]6u]3q# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ESk<*- CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens yv:8=.r}M 3@ a tlens = 3.767 + 0.04*A 'Lens thickness LFsrqdzJ 7Vf2Qx1_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ceakTAB[ -9XB.)\# 'Adjust parameters to account for accommodation Lw
7,[?,Z i<N[s O '************************************************************************* `mro2A 'Aqueous thickness (Position of Lens) m>C}T '************************************************************************* 93="sS eID = FindFullName( "Geometry.Arizona Eye.Lens" ) V6.xp{[ GetCustomElement eID, entity PiD%PBmUl =&QC&CqEi parID = FindFullName( "Geometry.Arizona Eye" )
D(}w$hi8 @V/Lqia ' Delete any shift(s) in z O2|[g8(_F count = 0 z~TG~_s While GetOperationCount(eID)>count {*VCR GetOperation eID, count, op :` >|N|i If op.Type="ShiftZ" Then sd;J(<Ofh DeleteOperation eID,count {shf\pm!o count=count-1 >uS?Nz5/ End If L&wJ-}'l count=count+1 S^,1N4 Wend R;9H`L/> ?@U7tNI 'Set new shift in yoKl.U"& op.Type = "ShiftZ" Byf5~OC op.val1 = taq u<x2"0f op.parent = parID oVPtA@ AddOperation eID, op S/}6AX#F4 Print "Set aqueous humor thickness = " & taq-0.55 wYtL1D( ,f`435R '************************************************************************* Nf0'>`/ 'Radius and conic constant of anterior lens _qg)^M 6 '************************************************************************* 0MK|spc eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) `8Y& KVhu GetConic eID, entity, curv, conic AtRu)v6r si.A"\bm SetConic eID, entity, 1/Rant, CCant -!uut7Z| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant T+z]ztO }`g:)gJ '************************************************************************* ueO&% 'Radius and conic constant of posterior lens 7Y$#*
7 '************************************************************************* ,3_;JT"5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x{Y}1+Y4 GetConic eID, entity, curv, conic F|K=]. Z:3N*YkL SetConic eID, entity, 1/Rpost, CCpost nQuiRTU< Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost a []Iz8*6e ]3@6o*R; '************************************************************************* =M"H~;f] 'Lens thickness (Position of posterior lens surface) p[BF4h{E '************************************************************************* +Hz});ix< ZhqrN]x parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZV}"k_+- (~F{c0\C ' Delete any z-shift(s) BZy&;P count = 0 [%(}e1T( While GetOperationCount(eID)>count p<1z!`!P GetOperation eID, count, op )X{ x\
/N If op.Type="ShiftZ" Then Qmxe*@{` DeleteOperation eID,count Jy)E!{#x count=count-1 6e,|HV End If :34#z.O count=count+1 rQ|^HNj Wend L/1zG/@ L(a&,cdh 'Set new z-shift qd*3| O^ op.Type = "ShiftZ" )3<|<jwcx op.val1 = tlens h8;B +#f` op.parent = parID _jK
AddOperation eID, op 8<(qN>R Print "Set lens thickness = " & tlens "dfq \\F^uM7, '************************************************************************* OE87&Cl"{t 'Lens index of refraction CW*Kdt '************************************************************************* [:gPp)f, eID = FindMaterial( "Lens" ) 2XhtK GetModelMaterial eID, mat yidUtSv=, :5!>h8p; mat.Nd = nlens J2cqnwUV SetModelMaterial eID, mat K*;e>{p Print "Set lens index of refraction = " & nlens VXt8y)?a fl| 8#\r '************************************************************************* T^LpoN/T 'Pupil diameter X|+ o4R? '************************************************************************* :uhU<H<,f eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Wbo{v r[2+ 8A/;a{ 'Adjust pupil diameter (trimming volume inner hole) <p"[jC2zF; n1OxT"tD SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" PI{;3X}9$, c$?(zt; ' Adjust pupil location to just in front of the lens VW^6qf/, parID = FindFullName( "Geometry.Arizona Eye" ) Cz=HxU80J eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) zfvMH"1
count = 0 X._skq While GetOperationCount(eID)>count 4;anoqiG\ GetOperation eID, count, op gL%%2 }$ If op.Type="ShiftZ" Then 06@^knm DeleteOperation eID,count _`yd"0Ux count=count-1 }{>)2S End If \7W>3 count=count+1 z3!j>X_w Wend )eFXjnHN op.Type = "ShiftZ" x]
[/9e op.val1 = taq-0.01 K)z{R n op.parent = parID C[f'1O7 AddOperation eID, op JCoDe. *_G(*yAe( Print "Set pupil diameter = " & pupilDiam ]IbX< R `}C/'Ty 'Update AZ Eye subassembly Description nulCk33x'= eID = FindFullName( "Geometry.Arizona Eye" ) @c&}\#; GetEntity eID, entity f,Q oA entity.Description = "Accommodation = " & A & "D" !u@XEN>/ SetEntity eID, entity ]dzBm!u O$QtZE61 Update AF ,*bb Print "DONE!" u{#}Lo>B # sywSvnPuYZ End Sub 3m
RP.<= /Y=Cg%+ 如果屈光度是4,光瞳直径是4,则会输出如下数据: +ZH-'l j8k5B" Accommodation = 4 Diopters V<X[>C' Pupil Diameter = 4 mm oNW.-gNT Set aqueous humor thickness = 2.81 Y,1ZvUOB Set anterior lens radius = 10.4 and conic constant = -2.375869 uw'>tb@ Set posterior lens radius = -4.424557 and conic constant = -3.081019 5`su^ Set lens thickness = 3.927 )8`7i{F Set lens index of refraction = 1.42672 HgH\2QL3& Set pupil diameter = 4 Yj%hgb:) DONE! wOW#A}m'vj Z>=IP-,> (文章来源:讯技光电)
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