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简介 !]2`dp\! 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+6=ag%
O2N~&<^ 模型 4v;KtD;M T/iZ"\(~w 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。 N.dcQQ_iS
( =t41-l Table 1. AZ眼睛模型的定义 zr^"zcfz& 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. @ w?,7i-S {q.|UCg[L 光源 DQ9}('^ ?d`j} 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。 t 4>\; n7(/ml+Q_ iPdR;O' 图1. 光源和提示信息使用 o>e -M 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。 mV#U=zqb!S &2,^CG 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。 >\'gIIs A&L2&ofV&q 图2. 字母F光源的设定方法光 ,| ~Pa L-VisZ-FK 图3. 字母F在视网膜上位置点列图 )W |_f 视网膜的散射 [BuAJ930#5 tqzr+ 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。 @f`s%o [1g sjG@4Or 图4. 视网膜朗伯散射设定 ASULg{ 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。 sPRo=LB j71RlS73 n |Q'> 图5. 视网膜重点采样规格设定 xew s~74L 脚本 A75z/O{ e~PAi8B5 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: kS<9cy[O $aDkZj 图6. 用户对话框的创建与编辑 8B7~Nq' 图7. 用户对话框编辑器 gzEcdDD 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 =&#t(" 余下的脚本计算与屈光度有关的所有参数。 |SuN3B4e <Y+>a#T 分析 M s Q=1 +%?\#E QJ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 f J+ A9o"L.o) 图7. 字母F在视网膜上颜色分析 Tzr'3m_ 脚本代码 2 sK\.yS <b_?[%(u Option Explicit 'Remove this to enable non-dimensioned variables to be used. Ah_0o_Di o?S!o} Dim entity As T_ENTITY ?b x ak Dim op As T_OPERATION ca,U>'(y Dim mat As T_MODELMATERIAL w:/QB-`% Dim A As Double s_cur- Dim pupilDiam As Double WP >VQZ& Dim eID As Long x P$\
} Dim parID As Long S=qx,<J
39 Dim count As Integer |vgYi Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double qL~|bfN Dim tlens As Double, nlens As Double 7uq^TO>9f Dim curv As Double, conic As Double 5U6b\jxX Dim ok As Long E(Zm6~ =i>i,>bv Sub Main EM!9_8 f \?"p]&2UcB '用户输入对话框 @P/6NMjZ^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !YIW8SP) TextBox 220,21,40,21,.TextBox1 'default: 0 u1ahAk7 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ?xw0kXK4 OKButton 40,91,90,21 I8VCR8q CancelButton 190,91,90,21 6-QcHJ>m6U Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 6xoCB/] TextBox 220,49,40,21,.TextBox2 'default: 4 5G l:jRu End Dialog r>g5_"FL Dim dlg As UserDialog 0ni/!}YP_ ahg]OWn# ok = Dialog (dlg) ,tak{[" 0X}0, If ok=0 Then 'cancel button was pressed +^ `n- m Print "Execution cancelled." USzO):o End [}`-KpV!; End If uA~?z:~= 2#R8}\ 'Assign accommodation and pupil diameter & use defaults if field left empty gm=LM= If dlg.TextBox1 = "" Then ="de+S8W A = 0 'Default accommodation rY295Q Else UeU`U A = CDbl(dlg.TextBox1) "mc ]^O End If lsKQZ@LN` ,M=s3D8C If dlg.TextBox2 = "" Then @bZ,)R pupilDiam = 4 'Default pupil diameter 6Cgc-KNbk Else hkx (r5o pupilDiam = CDbl(dlg.TextBox2) Lm*PHG End If +!$]a^3l 2*a5pFkb Print " " }70A>JBw Print "Accommodation = " & A & " Diopters" ,PeE'$q Print "Pupil Diameter = " & pupilDiam & " mm" aole`PD,l _kdt0Vr,L ' Calculate new parameters with accommodation TNlOj a: taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness -l?\hmDl =Y5_@}\0 Rant = 12.0 - 0.4*A 'Radius of anterior lens {!^0j{T CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ^/~C\
( z@v2t>@3k Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ^Vg-fO]V CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vrIWw?/z? + P<#6<gR tlens = 3.767 + 0.04*A 'Lens thickness {\gpXVrn_ 3L9@ELY4 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction #'BPW<Ob RO[6PlrRN 'Adjust parameters to account for accommodation FT\%=>{ ]Rj?OSok '************************************************************************* +#9 4X)* 'Aqueous thickness (Position of Lens) <[?ZpG '************************************************************************* S=G2%u!; eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?{\h`+A GetCustomElement eID, entity ,,]<f*N i?f;C_w parID = FindFullName( "Geometry.Arizona Eye" ) Mk}*ze0% otlv;3263 ' Delete any shift(s) in z =k5O*ql" count = 0 vURgR While GetOperationCount(eID)>count .mplML0oW GetOperation eID, count, op /Ow@CB If op.Type="ShiftZ" Then LIn2&r:U DeleteOperation eID,count ,n$NF0^l count=count-1 (U@$gkUx}G End If F<DXPToX% count=count+1 (XEJd4r Wend TQth"Cv2: i5gNk)D 'Set new shift in a}X.ewg op.Type = "ShiftZ" &]pY~zVc op.val1 = taq a|z@5r% op.parent = parID z
fu)X!t^ AddOperation eID, op pA6A*~QE Print "Set aqueous humor thickness = " & taq-0.55 xtut S biENRJQ. '************************************************************************* gv1y%(`|n( 'Radius and conic constant of anterior lens KbMan~Pb6 '************************************************************************* iXL?ic eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) gux?P2f GetConic eID, entity, curv, conic odn3*{c{x `><E J'h SetConic eID, entity, 1/Rant, CCant a%5/Oc[[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant PJ\k| @hy~H?XN '************************************************************************* \2CEEs' 'Radius and conic constant of posterior lens /0Mt-8[ '************************************************************************* dSe d6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Dt(xj}[tC GetConic eID, entity, curv, conic D 9UM8Hxi
-d^'-s SetConic eID, entity, 1/Rpost, CCpost )y{:Uc\4! Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost O=6[/oc
' D@kf^1G '************************************************************************* {C0Y8:"` 'Lens thickness (Position of posterior lens surface) k n/xt '************************************************************************* 1iqgVby MjWxfW/ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) M3r;Pdj2r fXh{_> ' Delete any z-shift(s) txE+A/>i9 count = 0 dsH*9t:z While GetOperationCount(eID)>count 5vJxhBm/ GetOperation eID, count, op ~/XDA:nfL: If op.Type="ShiftZ" Then 3O;"{E=
< DeleteOperation eID,count '.C#"nY>1 count=count-1 #\_8y`{x End If P](8Qrl count=count+1 >GLoeCRNu Wend {h
PB% Pm,.[5uc 'Set new z-shift k SgE_W) op.Type = "ShiftZ" _?bO
/y_y op.val1 = tlens /4@
[^}x op.parent = parID O<E8,MCA[a AddOperation eID, op x=+>J$~Pb Print "Set lens thickness = " & tlens jAU&h@ Cc;8+Z=a?G '************************************************************************* mxpj<^n} 'Lens index of refraction t#3_M=L '************************************************************************* Ay PtbrO eID = FindMaterial( "Lens" ) qDU4W7|T` GetModelMaterial eID, mat g>k?03; @BG].UJo mat.Nd = nlens i,S1|R SetModelMaterial eID, mat ~Z!YB,)bp Print "Set lens index of refraction = " & nlens klH?!r& @b,6W
wc '************************************************************************* [YZgQ 'Pupil diameter :Zx|= '************************************************************************* (w:,iw# eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #<Lv&-U<KT <XQwu*_\ 'Adjust pupil diameter (trimming volume inner hole) )W InPW .FC+ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Z4rk$K'=1w *ra>Kl0
' Adjust pupil location to just in front of the lens A^#\=ZBg1 parID = FindFullName( "Geometry.Arizona Eye" ) v/=\( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \P")Eh =d count = 0 U| VL+9#hd While GetOperationCount(eID)>count *HUXvX|-% GetOperation eID, count, op a(=lQ(v/? If op.Type="ShiftZ" Then Ie|5,qw
E DeleteOperation eID,count :~#)Xa0I count=count-1 w52py7 End If x^1d9Z count=count+1 GM?s8yZ< Wend gPb.%^p op.Type = "ShiftZ" C*3St`2@9 op.val1 = taq-0.01 Em^~OM3U$q op.parent = parID 8>Cf}TvErx AddOperation eID, op +:4>4= &$
"J\vm Print "Set pupil diameter = " & pupilDiam _U-`/r o @!u{>!~0 'Update AZ Eye subassembly Description +ima$a0Zyt eID = FindFullName( "Geometry.Arizona Eye" ) 3T0~k-- GetEntity eID, entity yNowhh entity.Description = "Accommodation = " & A & "D" {\CWoFht> SetEntity eID, entity /I!62?)-* $#p5BQQ| Update BAY e:0 Print "DONE!"
WZY+c ENIg_s4 End Sub Y0T :% `[g$EXX 如果屈光度是4,光瞳直径是4,则会输出如下数据: kfZ`|w@q Qrg- xu= Accommodation = 4 Diopters "YY<T&n Pupil Diameter = 4 mm Pd\4hy Set aqueous humor thickness = 2.81 @j_o CDS Set anterior lens radius = 10.4 and conic constant = -2.375869 XsQ81j. Set posterior lens radius = -4.424557 and conic constant = -3.081019 t!*[nfR Set lens thickness = 3.927 ?d^6ynzn Set lens index of refraction = 1.42672 _uLpU4# ? Set pupil diameter = 4 -grmmE]/ DONE! pu]U_Ll@ /51$o\4S (文章来源:讯技光电)
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