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简介 4#U}bN sdu?#O+c1 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。 K%^n. )Q)qz$h@ 模型 ~j0rORy] v
gN!9 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 IThd\#= @KG0QHyiU Table 1. AZ眼睛模型的定义 t6+m` Kq 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. n ]ikc| V"FQVtTx7 光源 V+d_1]
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C, 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 >r.]a ` 0.aXg " 'CLZ7pV 图1. 光源和提示信息使用 AeJ ;g 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 MB plhVK8 en<mm#Ab 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 O5\r%&$xd b@:OlZ~% 图2. 字母F光源的设定方法光 Io6/Fv>! T U%@_vYR 图3. 字母F在视网膜上位置点列图 MNT~[Z9L5G 视网膜的散射 $ /VQsb 6iC>CY3CG 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。 Ebg8qDE
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图4. 视网膜朗伯散射设定 3"fDFR 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。 A~ya{^}
~zp8%lEe xm'9n? 图5. 视网膜重点采样规格设定 -@TY8#O#- 脚本 jW/WG tz UK`A:N2[ 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: +`y(S}Z ]5!3|UYS 图6. 用户对话框的创建与编辑 bMH~vR 图7. 用户对话框编辑器 ZsGvv]P 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。 .6?"<zdPU 余下的脚本计算与屈光度有关的所有参数。 5=>1>HYM Lp`.fn8Ln 分析 lH-VqkR\ s.3"2waZ=T 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 !oLn= {I#_0Q,i 图7. 字母F在视网膜上颜色分析 A^U84kV= 脚本代码 &|>@K#V8-; |OQ]F Option Explicit 'Remove this to enable non-dimensioned variables to be used. /qpSmRL p8Vqy-: Dim entity As T_ENTITY <O#&D|EMd| Dim op As T_OPERATION 1#vy# ' Dim mat As T_MODELMATERIAL V^~RDOSy7n Dim A As Double q?,PFvs" Dim pupilDiam As Double ;\MWxh,K Dim eID As Long /Vlc8G Dim parID As Long 1ni+)p>] Dim count As Integer K;K0D@>]HR Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]4:QqdV Dim tlens As Double, nlens As Double 'u,|*o Dim curv As Double, conic As Double D:P(; Dim ok As Long |k a _Zy TG2#$Bq1 Sub Main x6ghO-s 2D\pt '用户输入对话框 ZR>BK, Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Q3@ zUjq_Q TextBox 220,21,40,21,.TextBox1 'default: 0 w OL,L U Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 D%SOX N OKButton 40,91,90,21 7Sdo*z CancelButton 190,91,90,21 Z)!8a$M~ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :X>Wd+lY:_ TextBox 220,49,40,21,.TextBox2 'default: 4 [6GYYu\ End Dialog ly0R'4j \ Dim dlg As UserDialog oEIpv;:_ fk*(8@u> ok = Dialog (dlg) fQ+whGB *V>?m6y/ If ok=0 Then 'cancel button was pressed qs4jUm Print "Execution cancelled." g 9,"u_ End 1?@HOu End If \w9}O2lL ]#0 ( 'Assign accommodation and pupil diameter & use defaults if field left empty WjD885Xo If dlg.TextBox1 = "" Then ;zCUx*{ A = 0 'Default accommodation RpdUR*K9x Else `}X3f#eO& A = CDbl(dlg.TextBox1) |)x7qy` End If qxZIH "*vrrY If dlg.TextBox2 = "" Then @yp0WB pupilDiam = 4 'Default pupil diameter QM,#:m1o Else ==Gc% pupilDiam = CDbl(dlg.TextBox2) ~^wSwd[ End If _^ hg7&dF zB.cOMx Print " " =Rd`"]Mnfb Print "Accommodation = " & A & " Diopters" 2|pTw5z~ Print "Pupil Diameter = " & pupilDiam & " mm" 0`/G(ukO X[tt'5 ' Calculate new parameters with accommodation :a wt7lqv taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness d$IROZK-D %;`Kd}CO Rant = 12.0 - 0.4*A 'Radius of anterior lens ljFq ;!I5 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens %=**cvVy b{0a/&&1O Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Q)75?mn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens i>M%)HN =\Q<TY tlens = 3.767 + 0.04*A 'Lens thickness *_D/_Rp7 0 C4eer+D nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction uq5?t XgxE M1( 'Adjust parameters to account for accommodation _CD~5EA: w8lrpbLh '************************************************************************* ZP";B^J 'Aqueous thickness (Position of Lens) [@@{z9c '************************************************************************* WNR]GI eID = FindFullName( "Geometry.Arizona Eye.Lens" ) $6Ma{r C| GetCustomElement eID, entity G'|ql5Zw >u= parID = FindFullName( "Geometry.Arizona Eye" ) {-A|f {4_s:+v0 ' Delete any shift(s) in z ^ ` LqNG count = 0 &'6/H/J While GetOperationCount(eID)>count ?Q:SVxzUd GetOperation eID, count, op }s,NM%oI If op.Type="ShiftZ" Then l";Yw]:^ DeleteOperation eID,count ]B>76?2W count=count-1 #j2kT End If ?G `m;S count=count+1 ]_C"A Wend RV~t%Sw^ 8LV6E5Q 'Set new shift in YsmRY=3 op.Type = "ShiftZ" @=kgK[t
9 op.val1 = taq v3"6'.f;bY op.parent = parID il^;2`]& AddOperation eID, op 8AR8u!;8 Print "Set aqueous humor thickness = " & taq-0.55 [,Ehu<mEK {
^o.f '************************************************************************* ]>M\|,wh 'Radius and conic constant of anterior lens |WB-N g '************************************************************************* &S4*x|-C& eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) T"xJY#)} GetConic eID, entity, curv, conic |z)s9B;:#i |d0ZB_ci SetConic eID, entity, 1/Rant, CCant [!uzXVS3 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {aAd (~YZ ]:e_Y,@ '************************************************************************* >XtfT' 'Radius and conic constant of posterior lens q,Gymh; '************************************************************************* B[8bkFS>] eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) >/ay'EyY;> GetConic eID, entity, curv, conic *RkUF!)( k;\gYb%L SetConic eID, entity, 1/Rpost, CCpost ^E^`" Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _}R9!R0O >YI Vi4'' '*************************************************************************
3\W/VBJJ 'Lens thickness (Position of posterior lens surface) [9
MH"\ '************************************************************************* 5W)ST&YPL* $udhTI#, parID = FindFullName( "Geometry.Arizona Eye.Lens" ) aL1%BGlmZ< evZcoH3~ ' Delete any z-shift(s) 40?RiwwD count = 0 L-+g` While GetOperationCount(eID)>count +/[M
Ex= GetOperation eID, count, op +q&Hj|;8r If op.Type="ShiftZ" Then I|rb"bG DeleteOperation eID,count i"&FW&W count=count-1 |Gic79b End If yzN[%/ count=count+1 f<8Hvumw Wend vM/*S
6[ ko9}?qs 'Set new z-shift ;VE y{%nF op.Type = "ShiftZ" ]k!Xb op.val1 = tlens ^+x?@$rq op.parent = parID #gbB// < AddOperation eID, op Db"mq'vT Print "Set lens thickness = " & tlens F*P0=DD EHUx~Q
'************************************************************************* Oc L7] b0 'Lens index of refraction uzdPA'u '************************************************************************* 6+$2rS$1V eID = FindMaterial( "Lens" ) %>FtA) GetModelMaterial eID, mat CM?:\$ 4 ,;,B7g mat.Nd = nlens f3O6&1D SetModelMaterial eID, mat v@$N,g Print "Set lens index of refraction = " & nlens `<9>X9.+ C6)YZC '************************************************************************* uG\~Hxqw7O 'Pupil diameter D|q~n)TW5 '************************************************************************* dJR[9T_OF eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) "0HUaU,e $e+sqgU 'Adjust pupil diameter (trimming volume inner hole) HAn{^8"@ Vg'R=+Wb SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" LwB1~fF iTHwH{! ' Adjust pupil location to just in front of the lens ~A>fB2.pM parID = FindFullName( "Geometry.Arizona Eye" ) necY/&Ld- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `/sNX<mp count = 0 j !*,( While GetOperationCount(eID)>count E`TZ:W]r, GetOperation eID, count, op *
BM|luYL If op.Type="ShiftZ" Then e)uC DeleteOperation eID,count s!(R count=count-1 w*`:v$ End If kk78*s {6 count=count+1
^xHKoOTj[ Wend ZxvH1qx8 op.Type = "ShiftZ" l\Ozy op.val1 = taq-0.01 ( eKgc op.parent = parID JX0M3|I= AddOperation eID, op :UdW4N- W'4/cO Print "Set pupil diameter = " & pupilDiam %"`p&aE: 8Qg{@#Wr 'Update AZ Eye subassembly Description ]r;rAOWVV eID = FindFullName( "Geometry.Arizona Eye" ) B_d\eD GetEntity eID, entity =7V4{|ESfy entity.Description = "Accommodation = " & A & "D" kgo#JY-4 SetEntity eID, entity CE3l_[c 8C{&i5kj\E Update m%L!eR Print "DONE!" &m3-][!n \=0;EI-j End Sub Wx0i_HFR b d 1^ 如果屈光度是4,光瞳直径是4,则会输出如下数据:
Nk9=A4=| ;7\Fx8"s[ Accommodation = 4 Diopters H?"M&mF Pupil Diameter = 4 mm ]+:yfDtZd Set aqueous humor thickness = 2.81 EA~xxKq Set anterior lens radius = 10.4 and conic constant = -2.375869 [ K? Set posterior lens radius = -4.424557 and conic constant = -3.081019 %gmx47 Set lens thickness = 3.927 d&^b=d FDu Set lens index of refraction = 1.42672 [r`KoHwdm Set pupil diameter = 4 1]If<
< DONE! /<-PW9X? ]~;*9`: lfAy$qP"} QQ:2987619807 ,g?ny<#o
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