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简介 P'OvwA 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。 0=3)`v{S@ GW;%~qH[, 模型 -grf7w^ c?HUW 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。 J??AU0vh B8T$< Table 1. AZ眼睛模型的定义 ; $80}TY ' 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. \ m~?yq8H &H;,,7u 光源 ]<f(@]R/d 6 Ln~b <I 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。 ap}p?r B F<u3p?? A\Ib 图1. 光源和提示信息使用 !`I@Rk]`c 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。 Cn3_D N7J?S~x 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。 $N)G:=M!s :}v-+eIQ 图2. 字母F光源的设定方法光 rnj$u-8 IB[$~sGe 图3. 字母F在视网膜上位置点列图 }psRgF 视网膜的散射 v>} +->f Blzvn19'h 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。 '^_u5Y] 950N\Y@u xz"60xxY 图4. 视网膜朗伯散射设定 ~\CS%thX 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。 70c]|5 $q@d.Z>; 2r!ltG3} 图5. 视网膜重点采样规格设定 UrvUt$WO 脚本 @Uez2? JyMk @Y 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: mg'q-G`\< 1W{N6+u 图6. 用户对话框的创建与编辑 !|&|%x6@ 图7. 用户对话框编辑器 |g 3:+& 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。 l}z<q 余下的脚本计算与屈光度有关的所有参数。 Bxm,?=h ^b+>r 分析 nL:&G'd ZiJF.(JS 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Kt_oo[ey{ ?8V.iHJk 图7. 字母F在视网膜上颜色分析 `sYFQ+D#O 脚本代码 sh$-}1 ; `3rwqcxA Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?N<My&E INi$-Y+ Dim entity As T_ENTITY 2@zduL'do_ Dim op As T_OPERATION /]TNEU,K Dim mat As T_MODELMATERIAL h4pS~/ Dim A As Double c
3QgX4vq Dim pupilDiam As Double !'jq.RawP Dim eID As Long CjQO5 Dim parID As Long 'V:Q : Dim count As Integer K?^;|m- Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double n(F!t,S1i Dim tlens As Double, nlens As Double @N>7+
4 Dim curv As Double, conic As Double .zO2g8(VR Dim ok As Long d+JK")$9C 2!/Kt
O)i^ Sub Main N6y9'LGG` EJkHPn '用户输入对话框 >D,Oav Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 15g!Q
*v TextBox 220,21,40,21,.TextBox1 'default: 0 !wy _3a Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 M5`v^> OKButton 40,91,90,21 "<ZV'z CancelButton 190,91,90,21 gpV4qDXV Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 [A-_?#cZ TextBox 220,49,40,21,.TextBox2 'default: 4 nj[TTndJt End Dialog Yr9'2.%Q Dim dlg As UserDialog JtL>mH 9pp+<c ok = Dialog (dlg) 2Xt4Rqk $ )O1]|r7v If ok=0 Then 'cancel button was pressed (u,)v_Oo]a Print "Execution cancelled." 7AqgX0) End x>#{C,Fi End If ]" 'yf;g *d1BpR% 'Assign accommodation and pupil diameter & use defaults if field left empty Lzh8-d=HQ If dlg.TextBox1 = "" Then w+br) A = 0 'Default accommodation .G8`Ut Z Else )0"Q
h A = CDbl(dlg.TextBox1) cbzA`b'Mg End If k"N>pjgd$ [RyVR If dlg.TextBox2 = "" Then sU_K^=6* pupilDiam = 4 'Default pupil diameter PF{uaKWk Else
w$}q`k' pupilDiam = CDbl(dlg.TextBox2) /7AHd ; End If > G\0Z[<v, pHeG{<^ Print " " @Kpm&vd( Print "Accommodation = " & A & " Diopters" sf>
E Print "Pupil Diameter = " & pupilDiam & " mm" KYFKH+d>m kuEXNi1l ' Calculate new parameters with accommodation UUt"8]@[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 2.q Zs8& 1b5Z^a<u Rant = 12.0 - 0.4*A 'Radius of anterior lens `0d0T~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /UCBoQ$/] B"^j>SF Rpost = -5.224557 + 0.2*A 'Radius of posterior lens uF7vba$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens O=0p}{3l bfxE}> tlens = 3.767 + 0.04*A 'Lens thickness Y 6a`{' Kr}RFJ"d nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction r&u1-%%9[
|Xso}Y{ 'Adjust parameters to account for accommodation q*hn5 K* W5|{A])N '************************************************************************* t~+M>Fjm?d 'Aqueous thickness (Position of Lens) =M\yh,s! '************************************************************************* fv;Q*; oC& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,1-%C) GetCustomElement eID, entity 14,)JZN {]CZgqE{ parID = FindFullName( "Geometry.Arizona Eye" ) (m/:B=K ]iV]7g8: ' Delete any shift(s) in z Hv/C40uM- count = 0 r:QLU]
While GetOperationCount(eID)>count A4j,]hOD GetOperation eID, count, op
|~9rak, If op.Type="ShiftZ" Then vXJs.)D7 DeleteOperation eID,count dwA"QVp{ count=count-1 zEQ]5>mG End If mF6-f#t>H+ count=count+1 /X}1%p Wend ql?w6qFs] <a R 'Set new shift in bmT%?it op.Type = "ShiftZ" 5wK==hZ op.val1 = taq N_%@_$3G] op.parent = parID 4H8r[ AddOperation eID, op }&v}S6T Print "Set aqueous humor thickness = " & taq-0.55 \mb4leg5 8eT#-9q@ '************************************************************************* & 9e 'Radius and conic constant of anterior lens X@~/.H5 '************************************************************************* pMU\f eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) dle\}Sy= GetConic eID, entity, curv, conic a~2Jf @I3 Bc=(1ty) SetConic eID, entity, 1/Rant, CCant O"\4[HE^ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant o$@/@r l$u52e!7 '************************************************************************* $QiMA, 'Radius and conic constant of posterior lens B>u`%Ry& '************************************************************************* -@AhJY. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) tB;PGk_6 GetConic eID, entity, curv, conic h7]+#U]mi 4"?`p;{Z SetConic eID, entity, 1/Rpost, CCpost f1NHW|_j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost |gkNhxzB +*.*bo '************************************************************************* g$Tsht(rHD 'Lens thickness (Position of posterior lens surface) u>fs
yn9c '************************************************************************* \>$zxC_ M^ *~?9 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ww|fqx? p5]W2i., ' Delete any z-shift(s) dV$[O`F*b count = 0 *)[fGxz
\ While GetOperationCount(eID)>count 3]S*p ErY GetOperation eID, count, op oyVT If op.Type="ShiftZ" Then QMMpB{FZ`o DeleteOperation eID,count uGAQt9$>_ count=count-1 TTG=7x:3 End If F-kjv\ count=count+1 -~z@W3\ Wend ?g1eW q& \BBs;z[/ 'Set new z-shift Y6wr}U op.Type = "ShiftZ" %LnLB op.val1 = tlens B1X&O d op.parent = parID X
-1r$. AddOperation eID, op WD4"ft Print "Set lens thickness = " & tlens zd_N' :6 1n8y4k) '************************************************************************* MTt8O+J?P~ 'Lens index of refraction C.4(8~Y=~ '************************************************************************* wQW`Er3w eID = FindMaterial( "Lens" ) Bc!<!
GetModelMaterial eID, mat Gd!_9S`68 G=qlE?j`j mat.Nd = nlens pg5W`4-F SetModelMaterial eID, mat ~{DJ,(N"n Print "Set lens index of refraction = " & nlens Dp['U nZiwR4kM '************************************************************************* W,8Uu1X = 'Pupil diameter x`?>j$ '************************************************************************* +PPQ"#1pS eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Z7wl~Hk )4fQ~) 'Adjust pupil diameter (trimming volume inner hole) ](I||JJa9f 8Z}%,G*n SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" M_0f{ "3_X$`v"! ' Adjust pupil location to just in front of the lens tF[)Y# parID = FindFullName( "Geometry.Arizona Eye" ) `C_qqf eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Na`>
pH count = 0 ~F@p}u8TV While GetOperationCount(eID)>count v$\<L| GetOperation eID, count, op S/Ic= If op.Type="ShiftZ" Then KrP?*yk DeleteOperation eID,count !0pK8k&MG count=count-1 RaLV@>jPm End If xd `MEOY count=count+1 UNSXr`9 Wend 8(ZQM01; op.Type = "ShiftZ" h@JX?LzZS op.val1 = taq-0.01 -[N9"Z, op.parent = parID (k+*0.T&? AddOperation eID, op FzOWM7+\ :tbI=NDb Print "Set pupil diameter = " & pupilDiam ,e|"p[z~T =LY`K# 'Update AZ Eye subassembly Description Z=$-S(>J eID = FindFullName( "Geometry.Arizona Eye" ) 0"j:-1 GetEntity eID, entity FD!8o entity.Description = "Accommodation = " & A & "D" ;\|GU@K{hC SetEntity eID, entity $S>bcsAy nGX3_-U4 Update ;k0Jl0[} Print "DONE!" m*1 FaJK
R End Sub hrJ(] [8 m|B)A"Sm 如果屈光度是4,光瞳直径是4,则会输出如下数据: J e| RFsUb:%V7- Accommodation = 4 Diopters C ]B P}MY< Pupil Diameter = 4 mm %yc-D]P/ Set aqueous humor thickness = 2.81 7L:Eg Set anterior lens radius = 10.4 and conic constant = -2.375869 QiA}0q3]0 Set posterior lens radius = -4.424557 and conic constant = -3.081019 5'DY)s-K Set lens thickness = 3.927 ~u!V_su]GY Set lens index of refraction = 1.42672 IlO,Ql Set pupil diameter = 4 S;t`C~l\ DONE! M^OYQf xC5Pv"> (文章来源:讯技光电)
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