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简介 H8V@KB 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。 89P'WFOFK J;GYo|8 模型 J0FJ@@ a St:G*a" 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。 ZmAo9>'Kg SYA0Hiw7P Table 1. AZ眼睛模型的定义 TpRI+*\ 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. tvcM<
e20 Mz: "p. 光源 l#& \,T I78Q8W(5 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。 UId?a}J f0 "_ {\ ?wpl
88z 图1. 光源和提示信息使用 \[L| 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。 'Esz#@R ( 9(NP_s 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。 "{x+ \Z\ {sF;R.P&r 图2. 字母F光源的设定方法光 @dc4v_9 qo7jrY5G 图3. 字母F在视网膜上位置点列图 e'2w-^7 视网膜的散射 <lP5}F87 O
#5`mo 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。 hVW1l&s ;8g[y"I l*b0uF 图4. 视网膜朗伯散射设定 ;N^4R$Q. 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 6+/BYN!&4 BHpj_LB-P &
Tkl-{I 图5. 视网膜重点采样规格设定 h@ @q:I= 脚本 AZva r#(*x 2~, 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: =8AL>:_ 8qwPk4 图6. 用户对话框的创建与编辑 /mwsF]Y 图7. 用户对话框编辑器 kiu#THF 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 z6Zd/mt~x 余下的脚本计算与屈光度有关的所有参数。 =\gK<Xh ne# %Gr 分析 Q|7;Zsd: H](TSt<Q" 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ntn ~=oL y$+_9VzYB 图7. 字母F在视网膜上颜色分析 Dv}VmC"" 脚本代码 Rts.jm>[ R<Ct{f! Option Explicit 'Remove this to enable non-dimensioned variables to be used. ggUw4w/e :oytJhxU Dim entity As T_ENTITY P.3kcZ Dim op As T_OPERATION , RU Dim mat As T_MODELMATERIAL *~^M_wej Dim A As Double S7B?[SPrN[ Dim pupilDiam As Double ?'U@oz8 B Dim eID As Long \Wb3JQ) Dim parID As Long * & : J Dim count As Integer },,K6*P Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double n!L}4Nmp Dim tlens As Double, nlens As Double oiItQ4{< Dim curv As Double, conic As Double UQq Qim Dim ok As Long e/zz.cd){ ; g\rY Sub Main %Vhj<gN i([|@Y= '用户输入对话框 &X)^G# Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 &Y-jK < TextBox 220,21,40,21,.TextBox1 'default: 0 7upN:7D- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 aPHNX) OKButton 40,91,90,21 =z#j9'n$@ CancelButton 190,91,90,21 ;M5]XCPk Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 " (yw(/ TextBox 220,49,40,21,.TextBox2 'default: 4 A[H"(E#k End Dialog \iAs Dim dlg As UserDialog s}?QA cC 07>Iq8<mu ok = Dialog (dlg) ms#|Yl1/| _FzAf5DO If ok=0 Then 'cancel button was pressed gt!tDu Print "Execution cancelled." EO"G(v End (
c +M"s End If m5lTf 4)d"}j 'Assign accommodation and pupil diameter & use defaults if field left empty FLQ>,=O If dlg.TextBox1 = "" Then qTV.DCP A = 0 'Default accommodation )odz/\9n3c Else gCaxZ~o A = CDbl(dlg.TextBox1) aA-s{af End If R!2E`^{Wl /H*n(d If dlg.TextBox2 = "" Then <,Fj}T- pupilDiam = 4 'Default pupil diameter dyt.(2 Else Q6d>tqW hq pupilDiam = CDbl(dlg.TextBox2) B+[L/C}=; End If P.kf|,8L h 2C9p2. Print " " =/bC0bb{i Print "Accommodation = " & A & " Diopters" $;j{?dvm. Print "Pupil Diameter = " & pupilDiam & " mm" }M &hcw< RIq\IQ_| ' Calculate new parameters with accommodation |qtZb}"| taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 2 P9{?Y A3Y}|7QA Rant = 12.0 - 0.4*A 'Radius of anterior lens 2 5Ia CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens >(a[b@[K qKNHhXi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens gk4DoO j#P CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens |?ma? 6QNO#!; tlens = 3.767 + 0.04*A 'Lens thickness kV$VKag*A G9h B p nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction *[tLwl. TlJ'pG 4^ 'Adjust parameters to account for accommodation 1_z~<d
@?; V0y_c^x '************************************************************************* jiP^Hz"e
'Aqueous thickness (Position of Lens) Hf9F:yH '************************************************************************* z}2 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9Nu:{_YoP GetCustomElement eID, entity zX&wfE8T yVH>Q-{ parID = FindFullName( "Geometry.Arizona Eye" ) j_}f6d/h z`Xc] cPi ' Delete any shift(s) in z 3'[
g2JR count = 0 g>-u9%aa While GetOperationCount(eID)>count R^Y_i GetOperation eID, count, op [+b&)jN*2 If op.Type="ShiftZ" Then Sxcp
[g; DeleteOperation eID,count k9iB-=X?4s count=count-1 t8t+wi! End If ^Dys#^ count=count+1 7z3YzQ=Kg Wend Ui}%T] Kj*$'(' 'Set new shift in -{eI6#z|\A op.Type = "ShiftZ" _+.
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op.val1 = taq %SwhNn op.parent = parID `yrJ }f AddOperation eID, op \(ju0qFqH Print "Set aqueous humor thickness = " & taq-0.55 n4/Jx* I=&Kn@^ '************************************************************************* ^q/_D%]C 'Radius and conic constant of anterior lens A(wuRXnVWK '************************************************************************* W.TdhJW9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) +D|E8sz8 GetConic eID, entity, curv, conic w~WW2w >e QFY^d5 SetConic eID, entity, 1/Rant, CCant "ac$S9@~ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant YFs!,fw' B-[qS;PY% '************************************************************************* '))=y@M 'Radius and conic constant of posterior lens C7_#D O6" '************************************************************************* w>6cc#>q eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;g_<i_*x# GetConic eID, entity, curv, conic *hkNJ 5VGr<i&A SetConic eID, entity, 1/Rpost, CCpost <CGJ:% AY Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 6|]e}I@<2 Ogp@! '************************************************************************* \mDBOC0eK 'Lens thickness (Position of posterior lens surface) G*rlU '************************************************************************* 4i(?5p>f >d$Sh`a6 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) n{xL1A=9 I'%ASZ ' Delete any z-shift(s) *[b22a4H( count = 0 |M(0CYO While GetOperationCount(eID)>count 3V@!}@y,F6 GetOperation eID, count, op x^/453Lk If op.Type="ShiftZ" Then aX|LEZ;D> DeleteOperation eID,count fb D count=count-1 )jed@? End If z-?WU count=count+1 Ys@G0}\3G Wend x4;ndck%U [M&.'X 'Set new z-shift &E`=pe/e op.Type = "ShiftZ"
D:Fi/JY~ op.val1 = tlens )UAkg op.parent = parID nsy eid* AddOperation eID, op S~Yu; Print "Set lens thickness = " & tlens 6G]hsgro :x36Z4: '************************************************************************* C}(9SASs% 'Lens index of refraction g\=e86 '************************************************************************* QLOcgU^ eID = FindMaterial( "Lens" ) jt6,id)& GetModelMaterial eID, mat pEX|zee D~7L~Q]xI mat.Nd = nlens ::8c pUc`f SetModelMaterial eID, mat \wxLt}T-Q Print "Set lens index of refraction = " & nlens l$3YJ.n|s~ 9O\N
K:2 '************************************************************************* b]@@x;v$@ 'Pupil diameter f%Vdao[ '************************************************************************* Vl%jpjqP eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 8 ;o*c6+ [?nM)4d 'Adjust pupil diameter (trimming volume inner hole) `rZS\A (K3eb SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" G~KYFNHr fm&pxQjg ' Adjust pupil location to just in front of the lens l|5;&(Y+s parID = FindFullName( "Geometry.Arizona Eye" ) Rg~F[j$N eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) )_\q)t"= count = 0 FFpG>+*3 While GetOperationCount(eID)>count j=n<s</V GetOperation eID, count, op |7%#z~rT If op.Type="ShiftZ" Then !7jVKI80 DeleteOperation eID,count ,'>O#kD
count=count-1 J~k'b2(p3 End If [WW ~SOJe count=count+1 U['|t<^uf Wend fe!{vrS op.Type = "ShiftZ" )T!3du:M op.val1 = taq-0.01 D);w)` op.parent = parID m+9~f_} AddOperation eID, op C7xmk;c
w 22FHD4 Print "Set pupil diameter = " & pupilDiam G'f5MP1 ;cp,d~m rf 'Update AZ Eye subassembly Description D%!GY1wdn eID = FindFullName( "Geometry.Arizona Eye" ) ^Rc*X'Iz(! GetEntity eID, entity 'rDai[ entity.Description = "Accommodation = " & A & "D" <zt124y-6 SetEntity eID, entity EiCEB;*z|d f&NXWo/ Update ']DUCu Print "DONE!" i16kPU
bW^JR, End Sub OS sYmF sglH=0MP 如果屈光度是4,光瞳直径是4,则会输出如下数据: !?5YXI, NGVl/Qd Accommodation = 4 Diopters =gQ^,x0R9 Pupil Diameter = 4 mm ,f^ICM Set aqueous humor thickness = 2.81 #VynADPs`o Set anterior lens radius = 10.4 and conic constant = -2.375869 5dkXDta[G Set posterior lens radius = -4.424557 and conic constant = -3.081019 f_'8l2jK1i Set lens thickness = 3.927 e]-%P(}Z Set lens index of refraction = 1.42672 |VQmB/a Set pupil diameter = 4 g[$4a4X DONE! W$Sc@!M3{ 'ZAl7k . (文章来源:讯技光电)
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