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简介 v-^tj}jA OdL/%Zp} 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。 $bfmsCcHL )0"T?Ivp] 模型 [!8bjc]c Q&_#R(3j; 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 AZA5>Y (I'{
pF) Table 1. AZ眼睛模型的定义 inZ0iU9dy 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Y6d~hLC p~""1m01,D 光源 s0/m qZ]s jp@X,HES 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 csxn"Dz\ ,dw\y/dn aNQ(xiskb 图1. 光源和提示信息使用 F:[[@~z 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 qt/6o|V Wa.!eAe} 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 *yo'Nqu a|#pl! 图2. 字母F光源的设定方法光 M"u=)CT jO|`aUYTf 图3. 字母F在视网膜上位置点列图 pv&iJ7RN 视网膜的散射 jsr) aI`d 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 8m
`Y pS7y3(_ &jQqlQ j 图4. 视网膜朗伯散射设定 g}K/ba' 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 hNgT/y8 ,!g/1m LmJ _$?o 图5. 视网膜重点采样规格设定 _v,Wl/YAp 脚本 R[fQ$` M sCQV-%9 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: O&~
@ior nU\.`.39
+ 图6. 用户对话框的创建与编辑 yv>uzb`N 图7. 用户对话框编辑器 ) .' + { 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 qD=b+\F 余下的脚本计算与屈光度有关的所有参数。 GkU$Z @ [eTEK W] 分析 7M5HvG#w% H!6&'=c {k 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 qf<o"B|_9 T('rM:)/ 图7. 字母F在视网膜上颜色分析
/7,@q?v 脚本代码 ?@`5^7*
Nt?=0X|M Option Explicit 'Remove this to enable non-dimensioned variables to be used. :6EX-Xyj ]6|?H6'/`v Dim entity As T_ENTITY [)I
W9E
v Dim op As T_OPERATION I|c?*~7* Dim mat As T_MODELMATERIAL m6xbO Dim A As Double iXXaB+w Dim pupilDiam As Double yOb'] Dim eID As Long r~fnK%| Dim parID As Long _z.CV< Dim count As Integer c*"P+ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double C$LRX7Z`o Dim tlens As Double, nlens As Double F*Yx1vj Dim curv As Double, conic As Double hg'eSU$J Dim ok As Long 0D `9 l-h[I>TW Sub Main t0P_$+w.> 29|nt1Z '用户输入对话框 5N;xo?? Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 q9InO]s&~= TextBox 220,21,40,21,.TextBox1 'default: 0 Ip8:~Fl] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ;>X;cZMd OKButton 40,91,90,21 zqI|VH CancelButton 190,91,90,21 JEZ0O&_R Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3(.Y>er%U TextBox 220,49,40,21,.TextBox2 'default: 4 $I ,Np)i End Dialog "EWq{l_I5$ Dim dlg As UserDialog 9j5Z!Vsy BI!E mA ok = Dialog (dlg) %6M%PR~u X;vUz If ok=0 Then 'cancel button was pressed XZ8]se"C Print "Execution cancelled." I_`NjJ;61 End jgkY^l End If ]A l)> mU||(;I 'Assign accommodation and pupil diameter & use defaults if field left empty FS('*w&bP If dlg.TextBox1 = "" Then j4=\MK A = 0 'Default accommodation s,Fts3+ Else lC
d\nE8G A = CDbl(dlg.TextBox1) cN\_1 End If i.-2
w6 Hbu
:HFJ! If dlg.TextBox2 = "" Then 2G3Hi;q18 pupilDiam = 4 'Default pupil diameter 'S#^70kt Else PVmePgF
pupilDiam = CDbl(dlg.TextBox2) 3 "Qg"\ End If c<q~T >0k MdTu722 Print " " AOTtAV_e Print "Accommodation = " & A & " Diopters" : 'jVA Print "Pupil Diameter = " & pupilDiam & " mm" 'I r :)+)L@By ' Calculate new parameters with accommodation s]D1s%Mx taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness q+w] Xs; 'I2[}>mj2 Rant = 12.0 - 0.4*A 'Radius of anterior lens zMO xJ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens #Ny+6XM D@@"w+ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens iqsR]mab CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens dXU6TCjU7
\vW'\} tlens = 3.767 + 0.04*A 'Lens thickness (8/ & hN!{/Gc| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /6y;fx v\}{eP' 'Adjust parameters to account for accommodation 9h6siK(F ~C?)-
]bF '************************************************************************* }5B\:*yW 'Aqueous thickness (Position of Lens) oS_YQOoD '************************************************************************* tS,AS,vy] eID = FindFullName( "Geometry.Arizona Eye.Lens" ) N4WX} GetCustomElement eID, entity | "eC0u _0Y?(} parID = FindFullName( "Geometry.Arizona Eye" ) `t
g=__D N#X*
0i" ' Delete any shift(s) in z ]BmnE#n& count = 0 DMKtTt[} While GetOperationCount(eID)>count [o
6 GetOperation eID, count, op W/%9=g$m If op.Type="ShiftZ" Then V7
hO} DeleteOperation eID,count q$}gQ9'z' count=count-1 ')(U<5y) End If Yv"B-oy count=count+1 FbW$H]C$ Wend WkPT6d J!@R0U. 'Set new shift in w)/~Gn676 op.Type = "ShiftZ" 6Z@T
/"mU( op.val1 = taq Ejyo
oO45 op.parent = parID ]Z*B17// AddOperation eID, op p>W@h*[6w Print "Set aqueous humor thickness = " & taq-0.55 s Dsq:z !=6 \70lJ '************************************************************************* $JiypX^DOP 'Radius and conic constant of anterior lens [|(=15; '************************************************************************* #E_<}o eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) D@c@Dt GetConic eID, entity, curv, conic ylQ9Su>o A5sz[k SetConic eID, entity, 1/Rant, CCant ?0lz!Nq'S Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Qr?1\H:Lq qtFHA+bO '************************************************************************* 4"\%/kG 'Radius and conic constant of posterior lens ciFqj3JS '************************************************************************* }$(\,SzW eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +/hd;s$x GetConic eID, entity, curv, conic Uyd' uC J_9[xmM SetConic eID, entity, 1/Rpost, CCpost + 7wMM#z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost "ZFH_5< |n~,{= '************************************************************************* 6r`Xi& 'Lens thickness (Position of posterior lens surface) Xx\,<8Xn '************************************************************************* CW]Th-xc B|'}HBkP parID = FindFullName( "Geometry.Arizona Eye.Lens" ) xT!<x({ Fe.90) ' Delete any z-shift(s) aS~~*UHW count = 0 dAy\IfZX= While GetOperationCount(eID)>count Z{?T1 =n GetOperation eID, count, op "+Sq}WR If op.Type="ShiftZ" Then J5Ti@(G5V DeleteOperation eID,count nwIj?(8x count=count-1 (;-_j/ End If 6Xbf3So count=count+1 #qeC)T Wend WuTkYiF ,qNbo
11 'Set new z-shift 6{yn;D4 op.Type = "ShiftZ" m7i(0jd
+ op.val1 = tlens : t/0 op.parent = parID ab]Q1kD AddOperation eID, op '%o^#gJ p Print "Set lens thickness = " & tlens ,Z}ST|$u 0Gu?;]GSv '************************************************************************* 'pB? 'Lens index of refraction X8A.ag0Uu '************************************************************************* ef/43+F^x eID = FindMaterial( "Lens" ) =d]}7PO~ GetModelMaterial eID, mat ixE w!t 0G2Y_A&e** mat.Nd = nlens 9<3fH J?vq SetModelMaterial eID, mat ?CcX>R-/ Print "Set lens index of refraction = " & nlens 4t3>`x
7 bW=3X-) '************************************************************************* =K}T; c 'Pupil diameter Q>cE G" '************************************************************************* ?e,:x ]\L eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) p(K^Zc '?g&);4)k- 'Adjust pupil diameter (trimming volume inner hole) CF@*ki3X VL'wrgk SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %b2Hm9r+ B<n[yiJ} ' Adjust pupil location to just in front of the lens nHRk2l| parID = FindFullName( "Geometry.Arizona Eye" ) N
Z,} v3 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) OhlK;hvdB* count = 0 62y:i While GetOperationCount(eID)>count lNl.lI\t)y GetOperation eID, count, op ]cVDXLj$ If op.Type="ShiftZ" Then S\Le;,5Z DeleteOperation eID,count bf{_U%` count=count-1 sLXM$SMBh End If zmL
VFGnS count=count+1 d2^/ Wend *<6dB#'
J op.Type = "ShiftZ" y6x./1Nb}< op.val1 = taq-0.01 p
.P#S op.parent = parID 5h0Hk<N AddOperation eID, op 7J
?s&x _Hfpizm Print "Set pupil diameter = " & pupilDiam Z @ef2y; #g0N/ 'Update AZ Eye subassembly Description T?6<1nU) eID = FindFullName( "Geometry.Arizona Eye" ) " a,4E{7 GetEntity eID, entity 1~3dX[& entity.Description = "Accommodation = " & A & "D" >VQLC&u( SetEntity eID, entity a1/+C$
oB =&qH%S6 Update DuDt'^] Print "DONE!" OLm@-I* Uxik&M End Sub =5V7212 9c }qVf-i 如果屈光度是4,光瞳直径是4,则会输出如下数据: u/-EVCHr
y BHYguS^qz Accommodation = 4 Diopters -!O8V Pupil Diameter = 4 mm +zq"dj_ Set aqueous humor thickness = 2.81 $p&eS_f Set anterior lens radius = 10.4 and conic constant = -2.375869 /h.{g0Xc Set posterior lens radius = -4.424557 and conic constant = -3.081019 _)!*,\*`{ Set lens thickness = 3.927 A9u>bWIE7 Set lens index of refraction = 1.42672 9y;}B
y Set pupil diameter = 4
.=t:Uy DONE! fjl9*
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