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简介 b'H'QY
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。 N%y i4 24mdhT| 模型 Ykbg5Z ^URCnJ67Se 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。 4`IM[DIG~ t8Zo9q> Table 1. AZ眼睛模型的定义 uy'ghF 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.
`zwz KhCP9(A=Qo 光源 OG,P"sv Lpchla$ 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。 S2~cAhR|M [|u^:&az ^rkKE
dd 图1. 光源和提示信息使用 )s2] -n}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。 THA9OXP )*|/5wW1 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。 Q=\
Oa(I mCtS_"W 图2. 字母F光源的设定方法光 l^B.iB R`?l.0 图3. 字母F在视网膜上位置点列图
CI|lJ 视网膜的散射 &c`-/8c
p|4qkJK8 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。 "q4tvcK. ,w
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pL 图4. 视网膜朗伯散射设定 ?mQ^"9^XS 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。 G4&s_M$ ZO}Og&% _`$LdqgE 图5. 视网膜重点采样规格设定 /Y Kd [RQ 脚本 *OVB;]D3+ <3YZ0f f> 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: k_=SDm a .J#'k+> 图6. 用户对话框的创建与编辑 fGgt[f[ 图7. 用户对话框编辑器 FoefBo?g65 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 MatXhP] Fi 余下的脚本计算与屈光度有关的所有参数。 )fH
Q7 0oe<=L]F 分析 0r]n
0?x b^Hrzn 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 sE9FT#iE ~m%[d.
}e 图7. 字母F在视网膜上颜色分析 :dmE/Tq 脚本代码 X/]@EF BT_]=\zi Option Explicit 'Remove this to enable non-dimensioned variables to be used. -F[8ZiZ N&8TG Dim entity As T_ENTITY KuNLu31% Dim op As T_OPERATION LyUn!zV$( Dim mat As T_MODELMATERIAL myx/ |-V"F Dim A As Double q:{#kv8 Dim pupilDiam As Double 1CtUf7 `/Q Dim eID As Long aCQtE,. Dim parID As Long }E`Y.=
S Dim count As Integer 95 ;{ms[ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }v(wjD Dim tlens As Double, nlens As Double tobE3Od4 Dim curv As Double, conic As Double ia6 jiW x Dim ok As Long Y~ ~Dg?e +^I0>\ Sub Main 6K2e]r p_r` " '用户输入对话框 CB7dr&> Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 k(Yz2 TextBox 220,21,40,21,.TextBox1 'default: 0 uL'f8Pqg Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |5@Ra@0 OKButton 40,91,90,21 h!"2Ux3!x CancelButton 190,91,90,21 F<4rn Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I-v}
DuM TextBox 220,49,40,21,.TextBox2 'default: 4 ` Xc7b End Dialog :XKYfc_y Dim dlg As UserDialog 5f0M{J,KC :]"5UY?oF ok = Dialog (dlg) + a#&W}K J?4{#p If ok=0 Then 'cancel button was pressed C|{Sj`,XG Print "Execution cancelled." Y#U.9>h End Q
G)s End If uLms0r\@! G
hM 'Assign accommodation and pupil diameter & use defaults if field left empty dQX-s=XJ If dlg.TextBox1 = "" Then ^[ae
)} A = 0 'Default accommodation ktu?-?#0, Else dg D-"-O A = CDbl(dlg.TextBox1) Sn:>|y~ End If ;W|kc</R* ! FcGa If dlg.TextBox2 = "" Then w,~*ead pupilDiam = 4 'Default pupil diameter ,f03TBD} Else o'Bd. B pupilDiam = CDbl(dlg.TextBox2) /"m s End If ZlV V:0IBbh)w Print " " SA,~q& Print "Accommodation = " & A & " Diopters" '2,~'Zk Print "Pupil Diameter = " & pupilDiam & " mm" /4{WT?j eAHY/Y! ' Calculate new parameters with accommodation g 2Fg taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness So5/n7 %$BRQ-O Rant = 12.0 - 0.4*A 'Radius of anterior lens j
}~?&yB CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens z:'m50' -:}vf? Rpost = -5.224557 + 0.2*A 'Radius of posterior lens a %go[_w CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens j/v>,MM Y;af|?U*6: tlens = 3.767 + 0.04*A 'Lens thickness pEB3qGA *h^->+0n nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction &oL"AJU N2h5@*1Y 'Adjust parameters to account for accommodation qxRsq&_ YznL+TD '************************************************************************* +|?a7qM 'Aqueous thickness (Position of Lens) L03I:IJ '************************************************************************* `&;#A*C0 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) q NGR6i GetCustomElement eID, entity hB?#b`i^ '!>9j,BJ parID = FindFullName( "Geometry.Arizona Eye" ) Owp]>e DpHubqWz ' Delete any shift(s) in z +Q&l}2 count = 0 A-x^JC= While GetOperationCount(eID)>count at>_EiS GetOperation eID, count, op UG vIH m If op.Type="ShiftZ" Then r*HSi.'21 DeleteOperation eID,count ueg%yvO count=count-1 =i~
= |K! End If &H_/`Z]Q count=count+1 o HK Wend DLwlA!z <XL%* 'Set new shift in F"Dr(V op.Type = "ShiftZ" I!zoo[/)% op.val1 = taq +;,{`*W+N op.parent = parID 74_?@Z( AddOperation eID, op -=-^rQx9 Print "Set aqueous humor thickness = " & taq-0.55 <h(AJX7wsD Fd8nR9A '************************************************************************* Ehy(;n)\ 'Radius and conic constant of anterior lens yf{\^^ i( '************************************************************************* U=v>gNba eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (4Db%Iw GetConic eID, entity, curv, conic ;v8TT}R c{'Z.mut SetConic eID, entity, 1/Rant, CCant M:O*_>KF Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant i7RK*{ CI+)0=`<1B '************************************************************************* fMwF|; 'Radius and conic constant of posterior lens pIIp61=$ '************************************************************************* AB
$N`+& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) f y|JE9Io_ GetConic eID, entity, curv, conic U/c+j{=~ |@d(2f8 SetConic eID, entity, 1/Rpost, CCpost X&Oo[Z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %>&~?zrq .p{lzI9 '************************************************************************* ErN[maix# 'Lens thickness (Position of posterior lens surface) =u0=)\0@r '************************************************************************* dC<%D'L* _Q:ot'(~0- parID = FindFullName( "Geometry.Arizona Eye.Lens" ) +s}!+I8P {F_>cyR ' Delete any z-shift(s) *wAX&+); count = 0 +sJ{9# 6 While GetOperationCount(eID)>count tE>FL GetOperation eID, count, op ^uo,LTq+ If op.Type="ShiftZ" Then %2RXrH2&H DeleteOperation eID,count .0nT*LF count=count-1 N+V#=Uy End If ?23J(;)s count=count+1 DN9x<%/- Wend d%@0xsU1 @3eMvbI 'Set new z-shift W}F~vx. op.Type = "ShiftZ" [6@bsXiw op.val1 = tlens T7YJC,^m op.parent = parID 6oKlr,. AddOperation eID, op .KYs5Qu Print "Set lens thickness = " & tlens lBn<\Y!^ ]V fp,"op '************************************************************************* EAY+#>L* 'Lens index of refraction oe6Ex5h '************************************************************************* w2$ L;q eID = FindMaterial( "Lens" ) 4PC'7V=S GetModelMaterial eID, mat )YCH>Za 1`II%mf[ mat.Nd = nlens zt((TD2 SetModelMaterial eID, mat C&q}&=3r Print "Set lens index of refraction = " & nlens M|y!,/' w8>lWgN '************************************************************************* ;[zZI~wh 'Pupil diameter 6
y"r' '************************************************************************* E.'6p \ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) yyPj!<.MGP <)cmI .J3 'Adjust pupil diameter (trimming volume inner hole) mGz'%?zj AB!({EIi SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 7F~Jz*,B*W +Kmxo4p ' Adjust pupil location to just in front of the lens yokZ>+jb parID = FindFullName( "Geometry.Arizona Eye" ) a"+/fC` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) w6 Y+Y;,'f count = 0 fk#Ggp< While GetOperationCount(eID)>count 11$v~<M GetOperation eID, count, op xZAg If op.Type="ShiftZ" Then a$"Z\F:x DeleteOperation eID,count J_
h\tM count=count-1 ?#5)TAW End If $
z+
=lF count=count+1 cP21x<n Wend r|jBKq~ op.Type = "ShiftZ" ;r;>4+zn\ op.val1 = taq-0.01 Yk4ah$}%-^ op.parent = parID RXPl~]k#i AddOperation eID, op rI:]''PR ' ]Km%uwL Print "Set pupil diameter = " & pupilDiam (ds*$] XF4NRs 'Update AZ Eye subassembly Description 7")&njQ/x eID = FindFullName( "Geometry.Arizona Eye" ) i;)r|L`V? GetEntity eID, entity UR`pZ.U? entity.Description = "Accommodation = " & A & "D" oRn 5blj SetEntity eID, entity 5OFb9YX Z${@;lgP Update .|ZnU]~T Print "DONE!" ,"5p=JX` Z}O0DfT; End Sub =2wy;@f &kOb#\11u 如果屈光度是4,光瞳直径是4,则会输出如下数据: z:$TW{%M J0Y-e39 ` Accommodation = 4 Diopters nYY' hjZ Pupil Diameter = 4 mm 3TD!3p8 Set aqueous humor thickness = 2.81 :n?}G0y Set anterior lens radius = 10.4 and conic constant = -2.375869 '$OLU[(Y Set posterior lens radius = -4.424557 and conic constant = -3.081019 _`94CC: Set lens thickness = 3.927 E }w<-]8 Set lens index of refraction = 1.42672 ?@_,_gTQ Set pupil diameter = 4 )&elr,b/y DONE! [TpW$E0H CV,[x[L#{ (文章来源:讯技光电)
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