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简介 uF\f>E)/N% 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。 EN2/3~syO- *[wj ) 模型 ,[ M^rv i@spd5. 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。 #jR1ti)p Ng<oz*>U Table 1. AZ眼睛模型的定义 u-#J!Z<T8 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. AG<TY<nqL D,;6$Pvg^ 光源 &$E.rgtg BZWGXzOFh 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。 _^u^@.Q'i< 5_Opx= O2>W#7 图1. 光源和提示信息使用 5NAB^&{Z<X 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。 5QJFNE Z%O>|ozpq 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。 !mRDzr7 )1S"D~j- 图2. 字母F光源的设定方法光 Q?TXM1Bp ]u@`XVEJ 图3. 字母F在视网膜上位置点列图 ,*'aH z 视网膜的散射 t:.ZvA3 qx\P(dOUf 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。 :~+m9r -axV;+"b uNRT@@oCq 图4. 视网膜朗伯散射设定 K_E- Hgg_ 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。 piKR*|F Pi:=0,"XOp "f<+~ 图5. 视网膜重点采样规格设定 @je vY81) 脚本 x$\w^h\F '2.11cM3 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 2
VGGSLr (qXl=e8 图6. 用户对话框的创建与编辑 9J'3b < 图7. 用户对话框编辑器 sz+Uq]Mn 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 T hLR<\ 余下的脚本计算与屈光度有关的所有参数。 1(12`3 E?Ofkc$q 分析 f.y~ Sew t.E3Fh!o 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 b5Pakz=jNM Ffp<|2T2_ 图7. 字母F在视网膜上颜色分析 z("Fy 脚本代码 koAM",5D fnm:Wa|,%| Option Explicit 'Remove this to enable non-dimensioned variables to be used. xg2
& bP ,_H Dim entity As T_ENTITY D1VM_O
Dim op As T_OPERATION tug\X Dim mat As T_MODELMATERIAL rCa2$#Z Dim A As Double 2r|!:^'?W Dim pupilDiam As Double &,B91H*# Dim eID As Long Z6vm!#\ Dim parID As Long `2Oh0{x0*O Dim count As Integer ~
U,a?LR/ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double I!1nB\l Dim tlens As Double, nlens As Double #UpxF?A( Dim curv As Double, conic As Double L/R ES Dim ok As Long hMiuv_EO! cWA$O*A Sub Main \7Fkeo+ >av.pJ(> '用户输入对话框 `e!hT@Xxa Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ?hQ,'M2 TextBox 220,21,40,21,.TextBox1 'default: 0 GxIw4m9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 [d_sd OKButton 40,91,90,21 GI:$(< CancelButton 190,91,90,21 Qb;5:U/x Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 br9`77J8 TextBox 220,49,40,21,.TextBox2 'default: 4 HBFuA.", End Dialog mTW@E#)n Dim dlg As UserDialog sC .R. mrfc.{`[
ok = Dialog (dlg) f1RfNiW. xf.2Ig If ok=0 Then 'cancel button was pressed UUt631 Print "Execution cancelled." q|A-h' End +i[w& P End If /B?hM&@z G
Riu] 'Assign accommodation and pupil diameter & use defaults if field left empty ymsqJ If dlg.TextBox1 = "" Then d">Ya !W A = 0 'Default accommodation \O7?!i Else E+&]96*Lby A = CDbl(dlg.TextBox1) =/Dp* End If `f2m5qTP% /e5Fx If dlg.TextBox2 = "" Then (qP !x 2j pupilDiam = 4 'Default pupil diameter '7<@(HO Else DvuL1MeKo pupilDiam = CDbl(dlg.TextBox2) 2ju1<t,8) End If .F~EQ % W`PK9juu Print " "
qKL_1
~ Print "Accommodation = " & A & " Diopters" |7CH Print "Pupil Diameter = " & pupilDiam & " mm" ^w<:UE2a! e< Ee2pGX ' Calculate new parameters with accommodation Te{L@sj taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness vR?L/G^. 8<g_JW[% Rant = 12.0 - 0.4*A 'Radius of anterior lens k*4?fr CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens (!'; ?nFT51t/4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Lh &L5p7 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens a<V=C omV.Qb'NS tlens = 3.767 + 0.04*A 'Lens thickness Oz9k.[j( F|V co]"S1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction J<_&f_K0] <EI'N0~KG 'Adjust parameters to account for accommodation O'."ca]:5 |k'I?:' '************************************************************************* uF T\a= 'Aqueous thickness (Position of Lens) ^;YD3EZw '************************************************************************* 'q[V*4g eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T^GdN_qF GetCustomElement eID, entity >t8eVMMa B`hxF(_p/ parID = FindFullName( "Geometry.Arizona Eye" ) y|KDh'Y @fpxGMy& ' Delete any shift(s) in z "0L@cOyG count = 0 $^7&bQ While GetOperationCount(eID)>count !*%3um
GetOperation eID, count, op Pr<?E[ If op.Type="ShiftZ" Then &TbnZnv DeleteOperation eID,count hJ:Hv.{`)W count=count-1 (oJ#`k:&n End If i6m;2 UAa count=count+1 kXX RMR Wend %
wRJ"T`Tt t*Q12Q 'Set new shift in o7 !@WOeZ3 op.Type = "ShiftZ" F{T|lTl op.val1 = taq :OI!YR%" op.parent = parID v;K\#uc_ AddOperation eID, op sCb?TyN'n Print "Set aqueous humor thickness = " & taq-0.55 `%ymg8^ NHc+QMbou( '************************************************************************* dy`~%lX? 'Radius and conic constant of anterior lens EoY#D'[ '************************************************************************* T
|j^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6ldDt?iSg GetConic eID, entity, curv, conic 3!$rp- !<) |J}~a8o SetConic eID, entity, 1/Rant, CCant 5?vIkf Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant [=E<iPl SyYa_=En '************************************************************************* *`jEg=) 'Radius and conic constant of posterior lens mI`dZ3h '************************************************************************* F37,u| eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7SqsVq`[~ GetConic eID, entity, curv, conic x@k9]6/zs A`r&"i OKA SetConic eID, entity, 1/Rpost, CCpost f:utw T Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Ta[}k/zW P7Y[?='v '************************************************************************* lMO0d_:b1 'Lens thickness (Position of posterior lens surface) ,zw '************************************************************************* zR<jZwo]# (8ymQ!aY parID = FindFullName( "Geometry.Arizona Eye.Lens" ) yz+r@I5 ja>T nfu ' Delete any z-shift(s) yWK[@;S]% count = 0 Y.C*|p# While GetOperationCount(eID)>count /V*eAn8> GetOperation eID, count, op z`_N|iEd If op.Type="ShiftZ" Then FP\[7?ZLn DeleteOperation eID,count D>1Dao count=count-1 7xd}J(l End If >ab=LDoM count=count+1 Je*gMq:D Wend {"y6l (HJ60Hj 'Set new z-shift 5y~[2jB: op.Type = "ShiftZ" `150$*K&B op.val1 = tlens ~gAx op.parent = parID R`<E3J\* AddOperation eID, op 6Rt pB\hq Print "Set lens thickness = " & tlens /;>EyWW GS^4tmc '************************************************************************* d8K^`k+x 'Lens index of refraction }$UFc1He\J '************************************************************************* 2]'ozs$|v eID = FindMaterial( "Lens" ) jW*A(bK8: GetModelMaterial eID, mat _8`|KY T<?;:MO88 mat.Nd = nlens {p/m+m SetModelMaterial eID, mat cP
Y^Bf5) Print "Set lens index of refraction = " & nlens j?,$*Fi
aqN.5'2\ '************************************************************************* <*\J 6:^n 'Pupil diameter xphqgOc12, '************************************************************************* _96&P7 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) .6hH}BM =sm(Z;" 'Adjust pupil diameter (trimming volume inner hole) )Qc$UI8L -Z@p
SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" xWMMHIu g=%&p?1@E ' Adjust pupil location to just in front of the lens 83n: h08 parID = FindFullName( "Geometry.Arizona Eye" ) ?b0\[ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p)ONw"sb count = 0 68SM br While GetOperationCount(eID)>count OwEz(pj@ GetOperation eID, count, op MoA{ /{ If op.Type="ShiftZ" Then f0F$*"#G DeleteOperation eID,count N4:'X6u; count=count-1 (!b:
gG End If F~Li.qF count=count+1 `#]\Wnp~y Wend Vh<`MS0X op.Type = "ShiftZ" s5pY)6) op.val1 = taq-0.01 0v_8YsZ!`$ op.parent = parID W< n`[ AddOperation eID, op =bDG|:+ t'J
fiGM Print "Set pupil diameter = " & pupilDiam /F_
:@#H 2
zy^(%a 'Update AZ Eye subassembly Description Yx"z&J9p eID = FindFullName( "Geometry.Arizona Eye" ) Vo%d;>!G\; GetEntity eID, entity VC.?]'OqD entity.Description = "Accommodation = " & A & "D" X=3@M_Jzo SetEntity eID, entity g|P hNo 8syo_sC | Update e-VLU; Print "DONE!" "|.(yN I?K0bs+6 End Sub ZwMw g t <} %ir,8 如果屈光度是4,光瞳直径是4,则会输出如下数据: xeI{i{8 ZYA(Bg^ Accommodation = 4 Diopters "7HB3?2>W Pupil Diameter = 4 mm /Uc*7Y5j Set aqueous humor thickness = 2.81 Ps7%:|K] Set anterior lens radius = 10.4 and conic constant = -2.375869 )hug<D *h Set posterior lens radius = -4.424557 and conic constant = -3.081019 z m'jk D| Set lens thickness = 3.927 0U>Q<I} Set lens index of refraction = 1.42672 R%%`wmG)" Set pupil diameter = 4 `y`xk<q DONE! k3 l +HX'A C (文章来源:讯技光电)
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