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简介 Iu;VFa 6$csFW3R 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 m
(kKUv n^|7ycB' 模型 <BBSC ,W_".aguX 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 z}*L*Sk Qi9M4Yv Table 1. AZ眼睛模型的定义 k4^!"~<+0 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. /$FpceB!W 7L]Y.7> 光源 8lCo\T5" H4M`^r@)' 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。 =trLL+vGw' #,!/Cnqis 7Fb!;W#X 图1. 光源和提示信息使用 @ "CP@^ 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。 t-]~^s N'21I$ D 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。 A2`Xh#o |~Vq"6` 图2. 字母F光源的设定方法光 f4|ir3oy 1ZWr@,\L 图3. 字母F在视网膜上位置点列图 d#I; e 视网膜的散射 P4s,N|bs` X}&Y(kOT 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。 DM(c :+K- }. V!|R, U/\LOIs 图4. 视网膜朗伯散射设定 N_VWA.JHt 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。 8J2UUVA`1 y"w`yl{_
'^,|8A2 图5. 视网膜重点采样规格设定 -TNb=2en( 脚本 l?x'R("{ l<s6Uu" 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: [*Vo`WgbD j3/K;U/SGJ 图6. 用户对话框的创建与编辑 !XF:.| 图7. 用户对话框编辑器 j$z!kd+% 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 OX{2@+f# 余下的脚本计算与屈光度有关的所有参数。 v-B&"XGy: ^'hh?mL 分析 r}#,@< j[:Iu#VR 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |v h{Kb@ N8m3Wy 图7. 字母F在视网膜上颜色分析 s{0c.M 脚本代码
?!n0N\|i] )Tf,G[z&ge Option Explicit 'Remove this to enable non-dimensioned variables to be used. _%PEv{H0. [nB4s+NX Dim entity As T_ENTITY bN>|4hS Dim op As T_OPERATION GbBz;ZV%z, Dim mat As T_MODELMATERIAL q_h/zPuH' Dim A As Double SD1M`PI Dim pupilDiam As Double JZoH - Dim eID As Long cGv`% Dim parID As Long p+xjYU4^C Dim count As Integer '2S?4Z Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2zbV9Bhq Dim tlens As Double, nlens As Double `4t*H>:y Dim curv As Double, conic As Double ""_%u'7t5I Dim ok As Long HP[M"u WCwM+D Sub Main *o#P)H UiN6-{v<2 '用户输入对话框 N7dI}ju Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 zd{\XW TextBox 220,21,40,21,.TextBox1 'default: 0 aHSl_[ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4cJka~ OKButton 40,91,90,21 s)7sgP CancelButton 190,91,90,21 Y86mg7[U/ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Rj])c^ZA'* TextBox 220,49,40,21,.TextBox2 'default: 4 ^wb$wtL(' End Dialog PsyXt5Dk Dim dlg As UserDialog m4'x>Z }x?2 txuu ok = Dialog (dlg) .=/TT|eMS Ab:+AC5{ If ok=0 Then 'cancel button was pressed [Qn$i/`J Print "Execution cancelled." Ydh+iLjhx End h0zv@,u End If ]Jx_bs~g M IR))j; 'Assign accommodation and pupil diameter & use defaults if field left empty i-`J+8|d If dlg.TextBox1 = "" Then ]E}eM@xdD A = 0 'Default accommodation l]Q<BV Else 1YvE/<6 A = CDbl(dlg.TextBox1) {4HcecT End If {7LNQGiJ XjU/7Q If dlg.TextBox2 = "" Then K]C@seF` pupilDiam = 4 'Default pupil diameter ;hJz'&UWQ Else yFjjpEpnFt pupilDiam = CDbl(dlg.TextBox2) ^(T_rEp End If #;F*rJ[XY ,O1/|Y Print " " L IRdWGQ4 Print "Accommodation = " & A & " Diopters" 6w4}4i Print "Pupil Diameter = " & pupilDiam & " mm" e>!=)6[* E}8wnrxf ' Calculate new parameters with accommodation ExZ|_7^< taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ?j@(1",=& w ;xbQZ|+ Rant = 12.0 - 0.4*A 'Radius of anterior lens +$\/HO CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ,w$:=;i Z:Y_{YAD Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ]r(s02 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &W$s-qf". .[C@p`DZ tlens = 3.767 + 0.04*A 'Lens thickness KU*XRZu) lkaWwjv_D nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,HtXD~N G)3Q|Vc 'Adjust parameters to account for accommodation tqwAS)v= 7~m[:Eg6[s '************************************************************************* tu5T^"BqO 'Aqueous thickness (Position of Lens) {P!1VYs5 '*************************************************************************
u E<1PgW eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !]t5(g_ GetCustomElement eID, entity c,FZ{O@ V[ 'lB.&t parID = FindFullName( "Geometry.Arizona Eye" ) Y [%<s/ L(t!C~3 ' Delete any shift(s) in z nIf~ds&TT count = 0 w>TTu:
7 While GetOperationCount(eID)>count q cGsx2 GetOperation eID, count, op M992XXd If op.Type="ShiftZ" Then Fb\ E39 DeleteOperation eID,count J)._&O$ count=count-1 b&2N7% End If kB-]SD# count=count+1 KK,
t !a Wend w5*
Z\t5 ~+CEek 'Set new shift in 8M8Odz\3 q op.Type = "ShiftZ" \t?rHB3" op.val1 = taq v?(z4oOD/> op.parent = parID yz^4TqJ AddOperation eID, op tx ,q=.( Print "Set aqueous humor thickness = " & taq-0.55 AfvIzsT0
AS/z1M_U '************************************************************************* %Z+FX,AK 'Radius and conic constant of anterior lens DLD 5> '************************************************************************* }j;G`mV2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) tX~*.W: GetConic eID, entity, curv, conic _t?# _@OS,A SetConic eID, entity, 1/Rant, CCant Hd57Iw Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,ut7`_Fy ;.Y-e
Q, '************************************************************************* o^v]d7I8b 'Radius and conic constant of posterior lens l-$5CO '************************************************************************* ] ]XXcQ,A eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) cyBm,! GetConic eID, entity, curv, conic l4*vM |o<c`:;kt SetConic eID, entity, 1/Rpost, CCpost dF$&fo% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 1 RVs!; ^X ~S}MX '************************************************************************* U3~rtc* 'Lens thickness (Position of posterior lens surface) QzS=oiL '*************************************************************************
z-_$P)[c qi$nG_<<Z parID = FindFullName( "Geometry.Arizona Eye.Lens" ) SA%uGkm:e m2[]`Ir^@ ' Delete any z-shift(s) L [&|<<c
count = 0 )3.=)?XW While GetOperationCount(eID)>count w_#C8}2 GetOperation eID, count, op >!bw8lVV If op.Type="ShiftZ" Then SvQ!n4 $ DeleteOperation eID,count :QIf0*.O count=count-1 Vp&"[rC_z End If
_6-N+FI count=count+1 -f["1-A Wend r6vI6|1 W:hTRq 'Set new z-shift iX-.mq$ op.Type = "ShiftZ" F0tcVdv op.val1 = tlens M)3'\x: op.parent = parID zMh`Uqid AddOperation eID, op U#:N/ts*( Print "Set lens thickness = " & tlens Yf_/c*t\5 ,*8)aZ1k '************************************************************************* ndu$N$7+ 'Lens index of refraction |k#EYf#Y '************************************************************************* B]I*ymc# eID = FindMaterial( "Lens" ) SB,#y>Zv? GetModelMaterial eID, mat M[P1hFuna l ;S_ J^S mat.Nd = nlens EQ]>^VE2B SetModelMaterial eID, mat wRg[Mu,Q5 Print "Set lens index of refraction = " & nlens IV~5Y{(l Y>x3`f] '************************************************************************* .|@2Uf 'Pupil diameter @H}{?-XyA '************************************************************************* }U?:al/m eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m[ER~]L/C pnUL+UYeM 'Adjust pupil diameter (trimming volume inner hole) .E;}.X x>+sqFd\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ,/Q`gRBh" qv[w
1;U" ' Adjust pupil location to just in front of the lens `>=@Kc parID = FindFullName( "Geometry.Arizona Eye" ) :XOjS[wBm eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) #vc!SI count = 0 H(kxRPH4@] While GetOperationCount(eID)>count lQxEiDIL GetOperation eID, count, op &5*t*tI If op.Type="ShiftZ" Then =3PZGdWD DeleteOperation eID,count q#K0EAgC count=count-1 c3WF!~1r End If ,YRBYK: count=count+1 h+}{FB 29 Wend #<G:& op.Type = "ShiftZ" ~MP/[,j` op.val1 = taq-0.01 W6):IW(E op.parent = parID 89t"2|9 u AddOperation eID, op &~'i,v|E fi%lN_Ev? Print "Set pupil diameter = " & pupilDiam {\X$vaF (a"/cH 'Update AZ Eye subassembly Description =i6k[ rg eID = FindFullName( "Geometry.Arizona Eye" ) yv: Op\;R GetEntity eID, entity u+c2
m entity.Description = "Accommodation = " & A & "D" KN&|&51p} SetEntity eID, entity >1HXC2 Y uQKo2B0 Update ?v`24p3PC Print "DONE!" kx;7/fH )1 QOA End Sub 0IZF%` V."cmtf 如果屈光度是4,光瞳直径是4,则会输出如下数据: ;p87^: A@-U#UvN Accommodation = 4 Diopters GyVuQ51 Pupil Diameter = 4 mm 'j!n
Set aqueous humor thickness = 2.81 s[VYd:}se Set anterior lens radius = 10.4 and conic constant = -2.375869 !_oR/) Set posterior lens radius = -4.424557 and conic constant = -3.081019 >_$_fB Set lens thickness = 3.927 3J8M0W Set lens index of refraction = 1.42672 QB !% Set pupil diameter = 4 lq a~ZF* DONE! ,W;|K 5 bf.yA:~U OLV3.~T QQ:2987619807 U }I#;*F
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