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简介 ^)| tf\4 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 -B%D= qkC{IBN92 模型 auY?Cj'"fs =W"T=p*j 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。 eE\T,u5: XGYsTquSe Table 1. AZ眼睛模型的定义 Gtvbm 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. :qShP3 ^ <@4V G 光源
j~9Y0jz_ K 4{[s
z 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。 OP_\V8= o(D_ /]'8 Pe11azJ 图1. 光源和提示信息使用 3fYfj 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。 ]'>jw#|h mr]~(]B?r 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。 :r:x|[3. m5P@F@
图2. 字母F光源的设定方法光 \t&8J+% KO[Ty' 图3. 字母F在视网膜上位置点列图 G#E8xA"{/ 视网膜的散射 !SLfAFcS cb. -AlqQ 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。 ;xai JJK{ Vy=+G~ Qdc)S>gp 图4. 视网膜朗伯散射设定 C8(0|XX 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。 ys7Tq+ 2@N-#x' (&_~eYZU 图5. 视网膜重点采样规格设定 w`=XoYQl~* 脚本 ]\ZmK0q<: gS|6,A9 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: "b)EH/s dn_l#$ U 图6. 用户对话框的创建与编辑 N~?#Qh|ZnU 图7. 用户对话框编辑器 7Fzr\& 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。 z\WyL ; 余下的脚本计算与屈光度有关的所有参数。 N6*FlG- Tj6Czq=*%T 分析 T w1&<S f]Rh<N$ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 <J}JYT <:StZ{o; 图7. 字母F在视网膜上颜色分析 "837b/>/ 脚本代码 YYe=E,q 8>I4e5Ym Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^i@0P}K< , $cpm=1 Dim entity As T_ENTITY D'UIxc8 Dim op As T_OPERATION _]0<G8|Rv Dim mat As T_MODELMATERIAL L /N%ft]!T Dim A As Double y (%y'xBP Dim pupilDiam As Double &}#zG5eu Dim eID As Long v*OT[l7 Dim parID As Long +Je%8jH Dim count As Integer < 7*9b Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double *c(YlfeZ# Dim tlens As Double, nlens As Double $?;)uoAg Dim curv As Double, conic As Double A5s;<d0 Dim ok As Long pMf
?'l >52%^ ? Sub Main r\ C"Fx^ gA] 3h8%w '用户输入对话框 ?lU(FK Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 !2.eJ)G TextBox 220,21,40,21,.TextBox1 'default: 0 wOEc~WOd Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 /.t1Ow OKButton 40,91,90,21 Y/L*0M.< CancelButton 190,91,90,21 EO/41O Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 {s:"mkR TextBox 220,49,40,21,.TextBox2 'default: 4 o"p['m*g End Dialog py wc~dWvz Dim dlg As UserDialog |[)pQGw L=I;0Ip9y ok = Dialog (dlg) 79+i4(H Ir Y\Q) If ok=0 Then 'cancel button was pressed Ns\};j?TU* Print "Execution cancelled." }LoMS<O-[ End Qs<L$"L1 End If NLt"yD3t `~NjBtQ 'Assign accommodation and pupil diameter & use defaults if field left empty d@ ]N If dlg.TextBox1 = "" Then -\25&m!+ A = 0 'Default accommodation p&
Kfy~ Else C4
-y%W"P A = CDbl(dlg.TextBox1) qXoq<
| End If VU+=b+B~m MieO1l If dlg.TextBox2 = "" Then CF: ! pupilDiam = 4 'Default pupil diameter G(bl)p^ Else nx%eq,Pq pupilDiam = CDbl(dlg.TextBox2) TQQh:y End If Fx:4d$>; 6A ptq Print " " Rt@O@oD I Print "Accommodation = " & A & " Diopters" *qFl&*h} Print "Pupil Diameter = " & pupilDiam & " mm" y=AF
EP N7_(,Gu*R ' Calculate new parameters with accommodation j_z@VT}y taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4,BJK`{ VeOM `jy Rant = 12.0 - 0.4*A 'Radius of anterior lens B)dG:~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 8=g~+<A &
s:\tL Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;s+3#Py CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Qm_;o( .fS{j$ tlens = 3.767 + 0.04*A 'Lens thickness `$3ktQ $ v<mSd2B* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 59~mr:*sF J'yCVb)V 'Adjust parameters to account for accommodation F6"s&3D{ gu&W:FY '************************************************************************* aq#F 'Aqueous thickness (Position of Lens) e{^^u$C1.e '************************************************************************* -vc
,O77z" eID = FindFullName( "Geometry.Arizona Eye.Lens" ) e7plL^^` GetCustomElement eID, entity FRXaPod w}e_17A parID = FindFullName( "Geometry.Arizona Eye" ) 86a,J3C[
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' Delete any shift(s) in z { _Y'%Ggh count = 0 cg9*+]rc While GetOperationCount(eID)>count *w}r:04F GetOperation eID, count, op }ktK*4<k If op.Type="ShiftZ" Then 9_~9?5PU DeleteOperation eID,count N0N%~3 count=count-1 qx*N-,M%k( End If 9Q\RCl_1 count=count+1 hf;S#.k Wend sejT] rJ kYR^ 'Set new shift in N,:G5WxW op.Type = "ShiftZ" nswhYSX op.val1 = taq 1K'cT\aFm op.parent = parID nGur2}>n AddOperation eID, op PfGiJ]:V-u Print "Set aqueous humor thickness = " & taq-0.55 P/Y)Yx_( A$L:,b( '************************************************************************* x'SIHV4M@Q 'Radius and conic constant of anterior lens !(3[z> '************************************************************************* lA`-" eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) n#B}p*G GetConic eID, entity, curv, conic V}Oz!
O *z0Rf; SetConic eID, entity, 1/Rant, CCant 6z'0fi|EN Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant WcpH="vm Nz%pl! '************************************************************************* LvU/,.$ 'Radius and conic constant of posterior lens @moaa} 1 '************************************************************************* xn)F(P 0kv eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) vG=Pi'4XXo GetConic eID, entity, curv, conic )Lk2tvr ,mz7!c9H^a SetConic eID, entity, 1/Rpost, CCpost #Yy5@A}`o Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost eKU4"XTk z]=Ks_7 '************************************************************************* UF@. 'Lens thickness (Position of posterior lens surface) jwI1 I {x '************************************************************************* v
"[<pFj^ 579t^"ja~ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y^|15ek m |.0$+= ' Delete any z-shift(s) [g{fz3
O6 count = 0 % 3fpIzm While GetOperationCount(eID)>count B%o%%A8*g GetOperation eID, count, op <,H/7Ba If op.Type="ShiftZ" Then ~bis!(}p- DeleteOperation eID,count v[?gM.SF count=count-1 nFro#qx End If {7v|\6@e3 count=count+1 rxZk!- t)L Wend FRQkD%k D>`{f4Y 'Set new z-shift %f(4jQ0I op.Type = "ShiftZ" dkg+_V! op.val1 = tlens 0XE(v c! op.parent = parID ;#*.@Or@Ah AddOperation eID, op
t*Z-]P Print "Set lens thickness = " & tlens A}3E)Qo=G +LF=oM< '************************************************************************* 7dlMDHp\Y 'Lens index of refraction n"R$b: '************************************************************************* YYvX@f eID = FindMaterial( "Lens" ) |@?='E?h GetModelMaterial eID, mat "'>fTk_ :73T9/ mat.Nd = nlens dLf
;g}W SetModelMaterial eID, mat r 2{7h> Print "Set lens index of refraction = " & nlens `G>|g^6%i =Hj3o_g- '************************************************************************* EAF\7J* 'Pupil diameter t=[/L]! '************************************************************************* =sS= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 1o)<23q`) U)z1RHP|z 'Adjust pupil diameter (trimming volume inner hole) lHu/pSu@k M2.*]AL SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Z(J
1A x Exat_ L'? ' Adjust pupil location to just in front of the lens \`8F.oZ^) parID = FindFullName( "Geometry.Arizona Eye" ) !'>#!S~h3 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) gUp9yV count = 0 ^Je*k)COn While GetOperationCount(eID)>count )F0Q2P1I GetOperation eID, count, op U/7jK40 If op.Type="ShiftZ" Then A\ tBmL_s DeleteOperation eID,count O[=W%2I!i count=count-1 >PGsY[N End If 0bGQO&s
[ count=count+1 0BOL0<Wq Wend V0gu0+u~R op.Type = "ShiftZ" UZgrSX { op.val1 = taq-0.01 zS?DXE op.parent = parID {|e7^_ ke AddOperation eID, op ?1X7jn`,+ ZjnWbnW Print "Set pupil diameter = " & pupilDiam V.o*`V zaE!=-U 'Update AZ Eye subassembly Description AP?m,nd6 eID = FindFullName( "Geometry.Arizona Eye" ) /EvT%h?p GetEntity eID, entity Q%t
_Epe entity.Description = "Accommodation = " & A & "D" \/r]Ra SetEntity eID, entity 4 @9cO)m <*p Update [bN_0T.YI Print "DONE!" eBe5H
=I@ RLDu5 End Sub Ge76/T%{Q |@)jS.Bn 如果屈光度是4,光瞳直径是4,则会输出如下数据: h:vI:V[/X ulk yP Accommodation = 4 Diopters _Aw-{HE' Pupil Diameter = 4 mm 1rh2!4)7 Set aqueous humor thickness = 2.81 QX9['B< Set anterior lens radius = 10.4 and conic constant = -2.375869 EFs\zWF Set posterior lens radius = -4.424557 and conic constant = -3.081019
y $L&N0z Set lens thickness = 3.927 {|Fn<&G Set lens index of refraction = 1.42672
5)M#hx%]# Set pupil diameter = 4 "+BuFhSLf DONE! `iwGPG! yIS&ZtBA (文章来源:讯技光电)
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