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简介 3F$N@K~s 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 9?uU%9r5P Z fd `Fu 模型 _QneaPm% d
wku6lCk 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 l6N"{iXU ir~4\G! Table 1. AZ眼睛模型的定义 Nv=&gOy= 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. PnH5[4&k y
m?uj4I{ 光源 juQ?k xOB !1#=j;N` 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 w3M F62: F.AP)`6+* 4veXg/l 图1. 光源和提示信息使用 esd9N'.Q* 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 bUe6f,8, ^*F'[!. p 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 {[bB$~7Eu %<1_\N7 图2. 字母F光源的设定方法光 _$yS4= . 'jYKfq~_cJ 图3. 字母F在视网膜上位置点列图 eC_i]q&o| 视网膜的散射 \)cbg#v &X,6v 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。 {d%hkbN+{ @&GY5<&b U%)*I~9 图4. 视网膜朗伯散射设定 :ay`Id_tm 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。 w$aejz`[ s6!! ty;Y [f?x,W~ 图5. 视网膜重点采样规格设定 9u>X,2gUR 脚本 Y]Zp[! |AS9^w 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: tcD5"ALJ ,vB nr_D# 图6. 用户对话框的创建与编辑 ^2nH6,LPS 图7. 用户对话框编辑器 pwl7aC+6d 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。 cRSgP{hy 余下的脚本计算与屈光度有关的所有参数。 ~n%]u! 6 )Ut9k 分析 SKo*8r !Hj
7|5 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 TlC??# X]s="^ 图7. 字母F在视网膜上颜色分析 fz rH}^ 脚本代码 `~1#X !3\(
d{ Option Explicit 'Remove this to enable non-dimensioned variables to be used. EV_u8?va Bpv"qU7 Dim entity As T_ENTITY :JK+V2B$H Dim op As T_OPERATION >1q:-^ Dim mat As T_MODELMATERIAL X3l6b+p Dim A As Double ,<;.'r
Dim pupilDiam As Double \cQ+9e) Dim eID As Long `m\ ?gsw7 Dim parID As Long dZAb': Dim count As Integer RggO|s+0;
Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Zig3WiD& Dim tlens As Double, nlens As Double /KhY,G'Z Dim curv As Double, conic As Double v>5TTL~? Dim ok As Long [pz1f!Wn b7HT<$Wg Sub Main MpJ]1 JQSczE3 '用户输入对话框 Hqb-)8 ~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 W\O.[7JP TextBox 220,21,40,21,.TextBox1 'default: 0 &7KX`%K"D Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 uC?/p1 OKButton 40,91,90,21 $Q`\- CancelButton 190,91,90,21 G4"n`89LK Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 SA~oGgk=P TextBox 220,49,40,21,.TextBox2 'default: 4 &_3o 1< End Dialog c Dim dlg As UserDialog 7
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to = ;e Mb$px ok = Dialog (dlg) 2 '8I/>- /Tp>aW%}" If ok=0 Then 'cancel button was pressed C`\yc_b9Pf Print "Execution cancelled." 2Iq*7n:v0 End [L?WM>]% End If }LX.gm !~]'&9 'Assign accommodation and pupil diameter & use defaults if field left empty .FvIT]k- If dlg.TextBox1 = "" Then fKa]F`p_h A = 0 'Default accommodation 8zpTCae^=7 Else Yz>8 Nn '_ A = CDbl(dlg.TextBox1) $ ~/x;z: End If Y~UWUF%aK dbfI!4 If dlg.TextBox2 = "" Then kj`h{Wc[) pupilDiam = 4 'Default pupil diameter wfM|3GS+. Else .WlZT- pupilDiam = CDbl(dlg.TextBox2) {QIdeB[ End If LP}j0)n r,ep{
p Print " " _j]vR Print "Accommodation = " & A & " Diopters" =@.5J'! Print "Pupil Diameter = " & pupilDiam & " mm" "=UhTE R'aA\k- ' Calculate new parameters with accommodation 2XV3f$, H taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness KvlLcE~`o HG)h,&nc- Rant = 12.0 - 0.4*A 'Radius of anterior lens jk5C2dy CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens qhNYQ/uS nk+9J#Gs Rpost = -5.224557 + 0.2*A 'Radius of posterior lens - S%8 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens uD4$<rSHb =]0AZ tlens = 3.767 + 0.04*A 'Lens thickness f:h<tlob ?YnB:z*eV nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction G V% @A i",oPz7 'Adjust parameters to account for accommodation 8o,"G}Hjk <2fvEW/#v '************************************************************************* 7@ mP;K0 'Aqueous thickness (Position of Lens) Oy yE0 '************************************************************************* S[RVk=A1 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 86~q pN GetCustomElement eID, entity 't3nh Bmi9U parID = FindFullName( "Geometry.Arizona Eye" )
k;vhQ= \PK}4<x} ' Delete any shift(s) in z g;!,2,De} count = 0 M;E$ ]Z9 While GetOperationCount(eID)>count =T|m#*{.L GetOperation eID, count, op 0zXF{5Up If op.Type="ShiftZ" Then Z|zT%8.8N DeleteOperation eID,count 0[fqF^HEN count=count-1 u]Dds;~"b End If V Rz9;=m count=count+1 4"Pf0PD: Wend 2$?j'i! ]}BT'fky# 'Set new shift in ` MXGEJF op.Type = "ShiftZ" P>ZIP*
Gr op.val1 = taq H)i%\7F5 op.parent = parID CI@qT}Y_ AddOperation eID, op GD
}i=TK Print "Set aqueous humor thickness = " & taq-0.55 )5ISkbsxD i,y7R?-K '************************************************************************* 1)ZdkTF@H 'Radius and conic constant of anterior lens Eo_;Nc '************************************************************************* mjbV^^> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) _~uYNvmg GetConic eID, entity, curv, conic &(rR)cG sQ%gf SetConic eID, entity, 1/Rant, CCant }G1hB#j Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *gN)a%9 s
F3M= uz '************************************************************************* };]f 3 'Radius and conic constant of posterior lens &BQ%df<y\ '************************************************************************* +zSdP2s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @8V~&yqq GetConic eID, entity, curv, conic 3Uni{Z]Q) Q#*Pjl SetConic eID, entity, 1/Rpost, CCpost /SQ1i}% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost K"9V8x3Wg "6o5x&H '************************************************************************* o'p[G]NQ1o 'Lens thickness (Position of posterior lens surface) RTv zS] '************************************************************************* y7Y g$)sL '@eH)wh@m) parID = FindFullName( "Geometry.Arizona Eye.Lens" ) !gFUC<4bu </Ry4x^A ' Delete any z-shift(s) 73kL>u count = 0 ]LZ,>v While GetOperationCount(eID)>count XLsOn(U\& GetOperation eID, count, op o|7
h If op.Type="ShiftZ" Then ob"yz } DeleteOperation eID,count %R LGO& count=count-1 nN!R!tJPa End If j-wz7B count=count+1 Af7&;8pM Wend '.d]n(/lZd P(Ve'
wOaf 'Set new z-shift ^Ts8nOGMh op.Type = "ShiftZ" 8S7 YVsDz" op.val1 = tlens .?p\=C@C+ op.parent = parID ELQc:
t
-2 AddOperation eID, op vP{;'R Print "Set lens thickness = " & tlens \t@4)+s/) hZNAI '************************************************************************* lF.yQ 'Lens index of refraction :_"%o= '************************************************************************* 'K|tgsvgme eID = FindMaterial( "Lens" ) Hnc<)_DF GetModelMaterial eID, mat r&c31k]E ,Frdi>7 ~ mat.Nd = nlens Y'v;!11#
SetModelMaterial eID, mat L% ?3VW Print "Set lens index of refraction = " & nlens D!CuE7} Jl(G4h V'\ '************************************************************************* m kHcGB!~ 'Pupil diameter o!ycVY$yW '************************************************************************* Z@bGLS eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) &[|P/gj#> {Qr0pjE7R 'Adjust pupil diameter (trimming volume inner hole) `<^1Ik[g {kp^@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 3&z.m/ K5SP8<. ' Adjust pupil location to just in front of the lens rYwUD7ip parID = FindFullName( "Geometry.Arizona Eye" ) 5D%gDw+" eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) UAq%Y8KA count = 0 Y;6%pm $ While GetOperationCount(eID)>count #Bgq]6G2 GetOperation eID, count, op hpOUz% If op.Type="ShiftZ" Then hCKx%&[^7 DeleteOperation eID,count 1xE*quhrh count=count-1 A/#Xr End If #8[iqvE count=count+1 S|?Ht61k Wend mtn+bV
R% op.Type = "ShiftZ" gaXKP1m^ op.val1 = taq-0.01 JDy ;Jb op.parent = parID &33.mdBH AddOperation eID, op {-?8r> /)E'%/"A Print "Set pupil diameter = " & pupilDiam ~M4@hG! bxA1fA; 'Update AZ Eye subassembly Description ,t=12R]> eID = FindFullName( "Geometry.Arizona Eye" ) pRLs*/Bw GetEntity eID, entity n%YG)5; entity.Description = "Accommodation = " & A & "D" --9Z SetEntity eID, entity wu2C!gyBo bR;Zc Update Hz6yy* Print "DONE!" ~8
w(M Pqm)OZE? End Sub 3!V$fl0 q"Z!}^{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: OnKPD=< OK^0,0kS3 Accommodation = 4 Diopters ']]&<B}mz Pupil Diameter = 4 mm &G"r>,HU Set aqueous humor thickness = 2.81 [Ifhh2 Set anterior lens radius = 10.4 and conic constant = -2.375869 4/Bn9F Set posterior lens radius = -4.424557 and conic constant = -3.081019 {UR&Y Set lens thickness = 3.927 -=A W. Zo Set lens index of refraction = 1.42672 ttK`*Ng Set pupil diameter = 4 66+y@l1 DONE! >`@yh-'r 5@{+V!o, (文章来源:讯技光电)
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