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简介 gA/8Df\G:l 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。 )r +o51gp Zf [#~4 模型 d8V)eZYXy~ TM?RH{(r 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。 !=t.AgmL 1#OM~v6B Table 1. AZ眼睛模型的定义 `{
6K~( 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. ~V:@4P ^~65M/ 光源 +kdZfv> ?A\[EI^ 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。 w<54mGMOLr S @WzvM YS|Ve*t(L= 图1. 光源和提示信息使用 ZR"BxE0_k 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。 JPt0k HT@/0MF{J 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。 NR@n%p 8t$w/#'@ 图2. 字母F光源的设定方法光 Y7L1`<SC + NpHk 图3. 字母F在视网膜上位置点列图 /E|Ac&Qk 视网膜的散射 5N'Z"C0 sm1(I7y 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 J-3%.fX, >kN%R8*Sx
I"Gr <?r 图4. 视网膜朗伯散射设定
Fb:Z. 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 U$+G9 Gi9s*v,s ns/L./z 图5. 视网膜重点采样规格设定 }0(.HMiGj 脚本 h+<F,0 ?--EIA8mfp 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: N*CcJp{Q #y4+O;{ 图6. 用户对话框的创建与编辑 gWZzOH* 图7. 用户对话框编辑器 ',g'Tl^E 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。 %=t8 余下的脚本计算与屈光度有关的所有参数。 NZh\{! 7yDWc m_y 分析 c&rS7% lM N3;}K 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 = "N?v- c|,6(4j>$ 图7. 字母F在视网膜上颜色分析 )kl(}.9X
脚本代码 +LEU|# JJ=%\j Option Explicit 'Remove this to enable non-dimensioned variables to be used. 6$k"B/k u#&ZD| Dim entity As T_ENTITY UW?(-_8 Dim op As T_OPERATION BA
9c-Ay Dim mat As T_MODELMATERIAL \dzHG/e Dim A As Double %x2_njDd Dim pupilDiam As Double D+u#!t[q Dim eID As Long )>X
C_ R Dim parID As Long B{^ojV;]m Dim count As Integer Z<2j#rd Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 8:=EA3 Dim tlens As Double, nlens As Double E#L"*vh Dim curv As Double, conic As Double PAUepO_ Dim ok As Long -{tB&V~+v ~s[St0 Sub Main }bZcVc2 'q:t48& '用户输入对话框 QwaAGUA Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4*vV9*'! TextBox 220,21,40,21,.TextBox1 'default: 0 Y>l92=G Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 zKP{A Sk OKButton 40,91,90,21 F6$QEiDu@ CancelButton 190,91,90,21 `c)//o Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ?;dfA/ TextBox 220,49,40,21,.TextBox2 'default: 4 Up/s)8$. End Dialog F^mMyK Dim dlg As UserDialog "yo~;[ E Pgn2[z ok = Dialog (dlg) 4-wCk=I pg4J)<t# If ok=0 Then 'cancel button was pressed *co=<g]4KY Print "Execution cancelled." ofu
{g End >n^| eAH End If <Z -d5D> (i"@{[IP 'Assign accommodation and pupil diameter & use defaults if field left empty l1utk8'- If dlg.TextBox1 = "" Then l\NVnXv:> A = 0 'Default accommodation "kHQ}#6r Else Gop;!aV1* A = CDbl(dlg.TextBox1) ycr\vn
t End If 1$]hyC/f s?JNc4q If dlg.TextBox2 = "" Then h ?Ni5 pupilDiam = 4 'Default pupil diameter wy1xZQ<5 Else :k"VR,riF pupilDiam = CDbl(dlg.TextBox2) O6[, K1, End If x<S?" c~0hu*& Print " " )U~,q>H+
% Print "Accommodation = " & A & " Diopters" =y>g:}G7 Print "Pupil Diameter = " & pupilDiam & " mm" >\x xD#r5 ' Calculate new parameters with accommodation *s"dCc taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness \"X<\3z2 w[A$bqz Rant = 12.0 - 0.4*A 'Radius of anterior lens <![]=~z$ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 20O\@}2q2M BM@:=>ypQ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens B}(+\Q$I CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens C_RxJWka ^F*G tlens = 3.767 + 0.04*A 'Lens thickness )Hp{8c )Ycjx~
nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction BfcpB)N&.K O=9mLI6 'Adjust parameters to account for accommodation 9qHbV
9,M Do3g^RD# '************************************************************************* {5$.:Y 'Aqueous thickness (Position of Lens) ]4$t'wI. '************************************************************************* 3%g\)Cs eID = FindFullName( "Geometry.Arizona Eye.Lens" ) {!$E\e^d GetCustomElement eID, entity bw@"MF{ L*rND15 parID = FindFullName( "Geometry.Arizona Eye" ) |#6B<'e' 0&YW#L|J ' Delete any shift(s) in z RoG
`U count = 0 ?dJ[?<aG While GetOperationCount(eID)>count u Z(vf GetOperation eID, count, op h7}D//~p If op.Type="ShiftZ" Then ^RS?y8 DeleteOperation eID,count 6eUM[C. count=count-1 xUiSAKrcM End If sO5~!W>Z count=count+1
OMi_')J Wend KKPQ[3g *kliI]BF] 'Set new shift in w;LIP!T# op.Type = "ShiftZ" q13bV op.val1 = taq \fHtk _ op.parent = parID vp"b_x1- AddOperation eID, op V*uoGWL]+ Print "Set aqueous humor thickness = " & taq-0.55 WB:NV=&^ DRo?7_ '************************************************************************* cVx#dDdA 'Radius and conic constant of anterior lens LQ7.RK '************************************************************************* 6@"lIKeP eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) th$?#4SbR GetConic eID, entity, curv, conic ?"d25LyN *?'^Rc SetConic eID, entity, 1/Rant, CCant QO0#p1fom' Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {z4v_[-2CF yXuF<+CJ '************************************************************************* iiWs]5 'Radius and conic constant of posterior lens )}
I>"n '************************************************************************* !rK,_wH
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) /M}jF*5N GetConic eID, entity, curv, conic D*Cn!v$ QoGvjf3z SetConic eID, entity, 1/Rpost, CCpost s/;iZiWK Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost rF/k$_bFt xnBU)#<]S '************************************************************************* 6AM-^S@ 'Lens thickness (Position of posterior lens surface) rq[+p '************************************************************************* D 7D:?VoR -^Pn4y]A) parID = FindFullName( "Geometry.Arizona Eye.Lens" ) *8ZaG]L j}uVT2ZE% ' Delete any z-shift(s) 9Y6Ear .W count = 0 _{eH"
,( While GetOperationCount(eID)>count F5hOKUjv GetOperation eID, count, op TA2?Ia;@xV If op.Type="ShiftZ" Then &!kD81?Mm DeleteOperation eID,count 8&g`Uy/b count=count-1 &jg..R End If ([mC!d@a count=count+1 sQ4~oZZ Wend i`FskEoijq 0q@U># 'Set new z-shift *dTI4k op.Type = "ShiftZ" cZ<@1I5QK op.val1 = tlens }JF,:g
Lk op.parent = parID '@{'T LMCi AddOperation eID, op Ti{~ Print "Set lens thickness = " & tlens ~{8X$xs <~rf;2LZ '************************************************************************* LW"p/`#< 'Lens index of refraction UBgheu '************************************************************************* ?qdZ]M4e eID = FindMaterial( "Lens" ) \-Oq/g{j GetModelMaterial eID, mat Po
,zTz myR}~Cj;q mat.Nd = nlens 6 4fB$ SetModelMaterial eID, mat yY3Mv/R Print "Set lens index of refraction = " & nlens QSaJb?I b?=>)':f '************************************************************************* g9rsw7 'Pupil diameter l$>))cW! '************************************************************************* p+t79F.js eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) f|U
J%}$v; v>4kF _N 'Adjust pupil diameter (trimming volume inner hole) *c0\<BI JdP[
cN SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" kVH^(Pi AP2BND9 ' Adjust pupil location to just in front of the lens )|Ho"VEmg parID = FindFullName( "Geometry.Arizona Eye" ) zvDg1p eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) wva| TZ count = 0 _olhCLIR- While GetOperationCount(eID)>count Ot^<:\<`G GetOperation eID, count, op 4X()D {uR If op.Type="ShiftZ" Then , :10 DeleteOperation eID,count 0cpI2 count=count-1 EYsf<8cl End If lrE|>R count=count+1 h=1cD\^|qw Wend '&|]tu:q op.Type = "ShiftZ" ~&UfnO op.val1 = taq-0.01 f`[gRcZ- op.parent = parID x}c%8dO#J AddOperation eID, op @S-p[u -kv'C6gB Print "Set pupil diameter = " & pupilDiam &ND8^lR=Y; E&RiEhuv 'Update AZ Eye subassembly Description ;)SWUXa;{ eID = FindFullName( "Geometry.Arizona Eye" ) pYtvenBy GetEntity eID, entity ,rO>5$ w. entity.Description = "Accommodation = " & A & "D" ~@v<B
I SetEntity eID, entity WX2w7O'R ~<)CI0= Update t!u{sr{j= Print "DONE!" I1TzPe \0^ZNa? End Sub :kaHvf {e3XmVAI 如果屈光度是4,光瞳直径是4,则会输出如下数据: :We}l;.jQ o|FY-+ Accommodation = 4 Diopters clcj5=: Pupil Diameter = 4 mm !R`)S7! Set aqueous humor thickness = 2.81 fV\ eksBF Set anterior lens radius = 10.4 and conic constant = -2.375869 %)|_&Rh Set posterior lens radius = -4.424557 and conic constant = -3.081019 gk*Md+ Set lens thickness = 3.927 xIrRFK9[Q Set lens index of refraction = 1.42672 r2Wx31j{ Set pupil diameter = 4 M[Kk43;QY! DONE! 3XOf-v:~ 4ZRE3^y\" (文章来源:讯技光电)
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