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简介 KO/Z|I 1+6)0 OH{ 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。
)z# !C>}j* 4 模型 =jZ}@L/+ Z>1\|j 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。 &t1?=F,] _ S%3?Q Table 1. AZ眼睛模型的定义 )=6|G^ 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. |f+|OZY *|S.[i_7 光源 h6c0BmS{1 YI!ecx%/4 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。 (bnyT?p% g/Q hI MU2ufKq4) 图1. 光源和提示信息使用 YB{hQ<W 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。 [>l2E /y/O&`X( 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。 63R?=u@ t.'| [pOV 图2. 字母F光源的设定方法光 =8BMCedH| &c<0g`x 图3. 字母F在视网膜上位置点列图 Cz@[l=-T7 视网膜的散射 04{*iS95J Q
_Yl:c 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。 +RLHe]9& YU! SdT$ %\OG#36 图4. 视网膜朗伯散射设定 QR4!r@*=
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。 #P[d?pY hxcRFqX"
[7d>c 图5. 视网膜重点采样规格设定 os/_ObPiX 脚本 a(>oQG8F .|=~x3mPw 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: V2-fJ! !Yuu~| 图6. 用户对话框的创建与编辑 >|h$d:~n 图7. 用户对话框编辑器 Y"J'
'K 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。 8%-+@\= 余下的脚本计算与屈光度有关的所有参数。 \va'>?#o1 ux-puG 分析 C4vmgl& aKi&2>c5> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |#hj O3 ""-#b^DQ 图7. 字母F在视网膜上颜色分析 J'99 脚本代码 )*j>g38? J,@SSmJ` Option Explicit 'Remove this to enable non-dimensioned variables to be used. t+C9QXY |l5ol@2* Dim entity As T_ENTITY <Z^ P8nu Dim op As T_OPERATION Q4;eN w Dim mat As T_MODELMATERIAL 70s. Dim A As Double %6-5hBzZN Dim pupilDiam As Double 3{wr*L1%-~ Dim eID As Long "VEA71 Dim parID As Long 5}J|YKyP Dim count As Integer L< 3U)Gp Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ""LCyKu Dim tlens As Double, nlens As Double U;%I"
p`Z/ Dim curv As Double, conic As Double D|zlC,J, Dim ok As Long @KtQ~D 6|#+ Sub Main WO=X*One ~M@'=Q*~ '用户输入对话框 $F>
#1:=v< Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <A% } TextBox 220,21,40,21,.TextBox1 'default: 0 ldEZ _g^ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 hEG-,
OKButton 40,91,90,21 | g o jb CancelButton 190,91,90,21
U~%V;*|4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >GR L5Iow TextBox 220,49,40,21,.TextBox2 'default: 4 (?luV#{5 End Dialog p72:oX\QI Dim dlg As UserDialog / {|<3CEe *Ru@F: ok = Dialog (dlg) 2?=R_&0Q ]
T`6Hz! If ok=0 Then 'cancel button was pressed Iud]*5W Print "Execution cancelled." vn5X]U" End M6$9- End If R~9\mi5^UH *RM?SE6; 'Assign accommodation and pupil diameter & use defaults if field left empty l# -4}95 If dlg.TextBox1 = "" Then )HLe8:PG~ A = 0 'Default accommodation y,I ?3p|S Else g[Tl#X7F A = CDbl(dlg.TextBox1) m@Ziif-A End If 3$cIm+ -K+" :kiS If dlg.TextBox2 = "" Then Qi&!Ub] pupilDiam = 4 'Default pupil diameter \W"N{N Else K6vF}A| pupilDiam = CDbl(dlg.TextBox2) x2@Q5|a End If
K|Q|v39{b gY)NPi}!` Print " " wI\
n%# Print "Accommodation = " & A & " Diopters" p([g/Q Print "Pupil Diameter = " & pupilDiam & " mm" BU\P5uB!V - v\n0Jt ' Calculate new parameters with accommodation %}t<,ex(yO taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {Q/XV= <IiX_* Rant = 12.0 - 0.4*A 'Radius of anterior lens d E0
`tX CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
]QB<N|ps tS$^k)ZXip Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yJ(BPSt CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ze%kP#c6!
/FzO9'kj tlens = 3.767 + 0.04*A 'Lens thickness qu}`;\9@ld AOh\%|} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction {J`]6 ba 2(_+PQ6C= 'Adjust parameters to account for accommodation p&Os5zw;| 'QR
@G '************************************************************************* BvXA9YQ3 'Aqueous thickness (Position of Lens) Equj[yw%@ '************************************************************************* };rxpw>ms eID = FindFullName( "Geometry.Arizona Eye.Lens" ) O26'|w@$ GetCustomElement eID, entity u`%Kh_ (}$pf6s parID = FindFullName( "Geometry.Arizona Eye" ) Ek0zFnb[Gx ]u;Ma
G=; ' Delete any shift(s) in z vr /O%mDp count = 0 D..dGh.MY While GetOperationCount(eID)>count _$wXHONt GetOperation eID, count, op ?Cg",k ' If op.Type="ShiftZ" Then jm|x=s3}h DeleteOperation eID,count =qQH,{]c6 count=count-1 {km~,]N End If QkEIV<T&)l count=count+1 'N-nFc^ Wend 5>E]C=maD -vRZCIj! 'Set new shift in d0@&2hO op.Type = "ShiftZ" J%_m`? op.val1 = taq '<Nhq_u{ op.parent = parID >8I?YT. AddOperation eID, op ~EYsUC#B_ Print "Set aqueous humor thickness = " & taq-0.55 !B&OK&* 7Wd}H Z '************************************************************************* QD<GXPu?N 'Radius and conic constant of anterior lens *]L(,_:" '************************************************************************* V^n?0^o eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) J}$St|1y GetConic eID, entity, curv, conic wt8?@lJ"/ 0E6>PE; SetConic eID, entity, 1/Rant, CCant v)^8e0vx Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant byT@O:f L R2]2#3` '************************************************************************* Y|*a,H"_ 'Radius and conic constant of posterior lens aan)yP '************************************************************************* aP#nK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) q_5hKipd\b GetConic eID, entity, curv, conic 7W)*IJ Ia>07av SetConic eID, entity, 1/Rpost, CCpost V30Om3C Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost D*!UB5<>/t *%[L
@WF '************************************************************************* s)gU vS\ 'Lens thickness (Position of posterior lens surface) G*oqhep '************************************************************************* %K9 9_Cl3 1
P0)La# parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 91|0{1 #@quuiYq ' Delete any z-shift(s) yvQRr75 count = 0 vz\^Aa
#fv While GetOperationCount(eID)>count hd~3I4D GetOperation eID, count, op 5,i0QT" If op.Type="ShiftZ" Then kYwV0xQ DeleteOperation eID,count vpnOc2 - count=count-1 1FkS$ j8: End If ~d9R:t1 count=count+1 M,uQ8SZA[ Wend !=-{$& { ;ui=7[Us 'Set new z-shift /t4#-vz op.Type = "ShiftZ" ZxDh94w/ op.val1 = tlens X(YR).a~ op.parent = parID 1N3qMm^ AddOperation eID, op w=|"{-ijo Print "Set lens thickness = " & tlens j'2:z# pGwBhZnb> '************************************************************************* vXq2="+ 'Lens index of refraction j9voeV|7 '************************************************************************* %^zGM^PD eID = FindMaterial( "Lens" ) B&bQvdp GetModelMaterial eID, mat
4s <|8 %o4d(C B mat.Nd = nlens ZQ MK1 SetModelMaterial eID, mat L/39<&W Print "Set lens index of refraction = " & nlens l-~
o&n a7Xa3 vlpO '************************************************************************* h#e((j3-2Z 'Pupil diameter x/)o'#d$|l '************************************************************************* <k c9KE eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) kuQ+MQHs 8c1ma 'Adjust pupil diameter (trimming volume inner hole) 4ayZ.`aK /'g/yBY SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 3|Vh[iAa\ v
7g? ' Adjust pupil location to just in front of the lens P
{8d. parID = FindFullName( "Geometry.Arizona Eye" ) *#
7 1aZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) %F.^cd" count = 0 axpn*(yE While GetOperationCount(eID)>count %]KOxaf_z GetOperation eID, count, op It@1!_tO2 If op.Type="ShiftZ" Then x&['g*[L0 DeleteOperation eID,count
4u.v7r count=count-1 ?h1r6?Sug{ End If !#b8QER count=count+1 W["c3c Wend 0|L%)'F op.Type = "ShiftZ" Iu=n$H op.val1 = taq-0.01 ~4}'R_ op.parent = parID Wh7}G AddOperation eID, op 8s@k0T<O m7n8{J1O2 Print "Set pupil diameter = " & pupilDiam |s}7<A !^h{7NmP[ 'Update AZ Eye subassembly Description k04CSzE"% eID = FindFullName( "Geometry.Arizona Eye" ) @ /yQ4Gr GetEntity eID, entity o;^k"bo6 entity.Description = "Accommodation = " & A & "D" F Tk`Mq SetEntity eID, entity 920 o]Dh=t 'xn3g ;5 Update \0'0)@uziQ Print "DONE!" ky^u.+cZ -h|YS/$f End Sub /z(;1$Ld6{ D(YNa 如果屈光度是4,光瞳直径是4,则会输出如下数据: C3#mmiL- 1#OM~v6B Accommodation = 4 Diopters !#' y# Pupil Diameter = 4 mm rO;Vr},3\% Set aqueous humor thickness = 2.81 :}[RDF? Set anterior lens radius = 10.4 and conic constant = -2.375869 'U%L\v, Set posterior lens radius = -4.424557 and conic constant = -3.081019 +o*&JoC Set lens thickness = 3.927 V+y yy-/ Set lens index of refraction = 1.42672 o$[alh;c+W Set pupil diameter = 4 Ga9^+.j DONE! rf[w&~R
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