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简介 s"wz !{G4 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。 _ UF'Cf+Y (b.Mtd 模型 'HWPuWW p|)j{nc 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。 w/fiNY5FZ H Mfhe[A? Table 1. AZ眼睛模型的定义 URyY^+s 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. $A: ?o?"7} n4AQ 光源 m?1AgsBR TfNm0=| 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 d\ Xijy Q(hAV vrsOA@ee3H 图1. 光源和提示信息使用 p1\EC#Q 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Q>/[*(.Wd
lR]SGdY 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ?d)eri8, E{B40E~4 图2. 字母F光源的设定方法光 oJ0
#U .YIb ny1 图3. 字母F在视网膜上位置点列图 8{-bG8L> 5 视网膜的散射 7(zY:9|( 04#r'UIF 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 kx[h41|n m\|ie8 Biy$p6 图4. 视网膜朗伯散射设定 Zu^J X/um 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。 ].
^e[v6 5'"9)#Ve eJZt&|7N 图5. 视网膜重点采样规格设定 #_fL[j& 脚本 8.D9OpU n{.SNipU 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: X>rv{@K bL &qeMYYY 图6. 用户对话框的创建与编辑 Y/n],(t) 图7. 用户对话框编辑器 *5S~@ 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。 f(*^zga, 余下的脚本计算与屈光度有关的所有参数。 ->U9u lTC 2NqO,B|R 分析 !\1Pu| !bIhw}^C* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 -$kAWP8P4 O8w|!$Q. 图7. 字母F在视网膜上颜色分析 o[K,( 脚本代码 %>k$'UWzK Q>>II|~;J Option Explicit 'Remove this to enable non-dimensioned variables to be used. VH$hQPP5d >[gNQJ6 Dim entity As T_ENTITY W&0KO-}ot Dim op As T_OPERATION !qVnziE,, Dim mat As T_MODELMATERIAL [5Pin>]z Dim A As Double g%f6D%d)A Dim pupilDiam As Double .t|B6n! Dim eID As Long 6"Rw&3D? Dim parID As Long NYp46; Dim count As Integer JG!@(lr Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double i6D66 E Dim tlens As Double, nlens As Double ~i/K7qZ Dim curv As Double, conic As Double x1R<oB| Dim ok As Long la[>C:8IG Lkl^
` Sub Main :B]yreg K-drN)o '用户输入对话框 R3%&\<a)9 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |4|j5<5 TextBox 220,21,40,21,.TextBox1 'default: 0 d;O4)8> Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 YA%0{Tdxz OKButton 40,91,90,21 "AUHe6Yv CancelButton 190,91,90,21 T:(c/> Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _G=k^f_ TextBox 220,49,40,21,.TextBox2 'default: 4 !qF t:{-h End Dialog Z`Sbq{Kx Dim dlg As UserDialog X[KHI1@w w [7vxQ!- ok = Dialog (dlg)
tEHgQto r5S5;jL%t If ok=0 Then 'cancel button was pressed xC+TO Print "Execution cancelled." eJwHeG End |KLCO'x End If j$Z:S~* ]:r6 'Assign accommodation and pupil diameter & use defaults if field left empty ]KE"|}B If dlg.TextBox1 = "" Then +1=]93gP A = 0 'Default accommodation }MXC0Z~si Else %uy5la A = CDbl(dlg.TextBox1) Vmf!0- End If 6@;
P {<1 ]cP If dlg.TextBox2 = "" Then M"Q{lR pupilDiam = 4 'Default pupil diameter DZE@C^0% Else -oR P ZtW pupilDiam = CDbl(dlg.TextBox2) 5isqBu End If =/SBZLR(9 5VR=D\j Print " " qaZQ1<e Print "Accommodation = " & A & " Diopters" ]
g]^^ Print "Pupil Diameter = " & pupilDiam & " mm" EwKFT
FL 5Gw B1}q ' Calculate new parameters with accommodation /U5!]7&gB taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness %UokR" *\PCMl Rant = 12.0 - 0.4*A 'Radius of anterior lens hWD%_"yhd CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 7/b\NLeJ' 5l[&-:(Lh Rpost = -5.224557 + 0.2*A 'Radius of posterior lens "';K$&,[ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !}PZCbDhL mfCp@1;26 tlens = 3.767 + 0.04*A 'Lens thickness 'K*. ?M ,A9_xdv5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction oo2CF!Xy ]CxDm 'Adjust parameters to account for accommodation Dlqvz|X/ S";c7s '************************************************************************* &ku.Q3xGs 'Aqueous thickness (Position of Lens) ^LAnR>mz^r '************************************************************************* Ssg1p#0J eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }NpN<C+ GetCustomElement eID, entity ^Cy=L] B3g#) parID = FindFullName( "Geometry.Arizona Eye" ) &5d~ODO 5u=>~yK+ ' Delete any shift(s) in z 51-@4E2:l: count = 0 92XG|CWX While GetOperationCount(eID)>count Gw-y6e'|Y GetOperation eID, count, op n4InZ!) If op.Type="ShiftZ" Then jT=fq'RK DeleteOperation eID,count fR>"d<;T count=count-1 Q4ZKgcC End If AjD?_DPc count=count+1 <%?!3 n* Wend %sCG}?
y _qa9wK/ 'Set new shift in 10IX84 op.Type = "ShiftZ" *BHp?cn;F2 op.val1 = taq R4vf op.parent = parID QWwdtk AddOperation eID, op TpcJ1*t Print "Set aqueous humor thickness = " & taq-0.55 ~@mNR^W-W 9";qR, '************************************************************************* N"8'=wB 'Radius and conic constant of anterior lens _E2W%N '************************************************************************* #
11<=3Yj eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) L<k(stx~ GetConic eID, entity, curv, conic EGVS8YP>h Y1G/1Z# 2 SetConic eID, entity, 1/Rant, CCant B&m6N, Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ~s*kuj'%+ )F+wk"`+6 '************************************************************************* r;_*.|AH 'Radius and conic constant of posterior lens w@WPp0mny '************************************************************************* X`28? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) *$Y_ %} GetConic eID, entity, curv, conic Ug )eyu apjoIO-< SetConic eID, entity, 1/Rpost, CCpost W.BX6 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <:4b4Nl 9Ed=`c '************************************************************************* ~S\, 'Lens thickness (Position of posterior lens surface) @,m 7%, '************************************************************************* XhUVDmeUMb 9[R+m3V/` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :. u2^*< {F;"m&3Lt ' Delete any z-shift(s) Irui{%T count = 0 .uSVZqJ7 While GetOperationCount(eID)>count _Kbj?j GetOperation eID, count, op gx8i|] If op.Type="ShiftZ" Then QmMA]Q DeleteOperation eID,count '<$*N count=count-1 /ke[nr End If TE:|w
Xe count=count+1 m48Ab` Wend YJ|U|[ "B>8on8O 'Set new z-shift L+~XW'P? op.Type = "ShiftZ" @z^7*#vQv op.val1 = tlens /U})mdFm op.parent = parID wg<t*6&'x AddOperation eID, op DMOP*;Uk Print "Set lens thickness = " & tlens b=5ZfhIg[ +j %y#_~ '************************************************************************* GI@;76Qf 'Lens index of refraction WIabQ_ fX '************************************************************************* a$\Bt_ eID = FindMaterial( "Lens" ) M%WO GetModelMaterial eID, mat =RAojoN {eVv%sbq mat.Nd = nlens sX-@
>%l SetModelMaterial eID, mat Z/T(4 Print "Set lens index of refraction = " & nlens I^HwXp([ t37<<5A '************************************************************************* #lO ^PK 'Pupil diameter KcUR
/o5K '************************************************************************* virt[5w eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) vqZBDQ0 n5z|@I`S_ 'Adjust pupil diameter (trimming volume inner hole) q\-P/aN_ =K_&@|f+B SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" jYvl-2A' HYL['B?Wid ' Adjust pupil location to just in front of the lens m>RtKCtP parID = FindFullName( "Geometry.Arizona Eye" ) w
^?#xU1.i eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) FmFjRYA W count = 0 GaV} @Q While GetOperationCount(eID)>count M|Nh(kvH GetOperation eID, count, op m41%?uC/ If op.Type="ShiftZ" Then 7dv! DeleteOperation eID,count 2j#Dwa(lZQ count=count-1 [%O f End If o/Q|R+yXV count=count+1 +z:>Nl Wend rNurzag op.Type = "ShiftZ" P)#h4|xZ op.val1 = taq-0.01 @;x*~0GZ op.parent = parID )+DDIq AddOperation eID, op 97qf3^gGd c2Exga_ Print "Set pupil diameter = " & pupilDiam o)>iHzR</ =z]rZSq*o 'Update AZ Eye subassembly Description Nukyvse eID = FindFullName( "Geometry.Arizona Eye" ) qWx{eRp d GetEntity eID, entity t\}_WygN entity.Description = "Accommodation = " & A & "D" b^&azUkMN SetEntity eID, entity O#t[YP QBG jH^kL Update b(CO7/e> Print "DONE!" axDa&7% !dUdz7 End Sub H^54o$5 ca3SE^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 8};kNW^2m =<7z
:] Accommodation = 4 Diopters \yZVn6GVr Pupil Diameter = 4 mm _/'VD!(MV Set aqueous humor thickness = 2.81 cy)-Rfg Set anterior lens radius = 10.4 and conic constant = -2.375869 z&B9Yu4M7 Set posterior lens radius = -4.424557 and conic constant = -3.081019 {M7`"+~w Set lens thickness = 3.927 QqRF?%7q"q Set lens index of refraction = 1.42672 g{i= $xc Set pupil diameter = 4 fVf:voh DONE! 0kNKt(_ Kn<+Au_]L (文章来源:讯技光电)
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