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简介 .^eajb`: O|d"0P 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。 A|7%j0T
`ml 模型 BKi@c\Wb 9J*.'Y 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。 W|4:3c4 rytves%;C Table 1. AZ眼睛模型的定义 zt6GJz1q 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. F P3{Rp *jM]:GpyoU 光源 9!;/+P JD9)Qelw^$ 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。 z#m ~} }"Clv/3_ KSz;D+L\ 图1. 光源和提示信息使用 !cW6dc^ 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。 $i1$nc8 L xP%o 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。 7v't# = ]jjHIFX 图2. 字母F光源的设定方法光 evjj~xkte kntYj}F( 图3. 字母F在视网膜上位置点列图 A`71L V% 视网膜的散射 tnE), Kl_(4kQE_ 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。 |h%=a8 jl9hFubwW VkFMr8@| 图4. 视网膜朗伯散射设定 42M_ %l_ 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。 4(
$p8J $O3.ex V Np7+g`nG 图5. 视网膜重点采样规格设定 2D UY4Ti 脚本 [n4nnmM GHY+q{'#V_ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: A*G ~#v^ zG{P5@:.R 图6. 用户对话框的创建与编辑 Wn2'uZ5If 图7. 用户对话框编辑器 r3qKT 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ?zex]!R 余下的脚本计算与屈光度有关的所有参数。 `R;i1/ t'1g+g 分析 _AzI\8m Me79:+d 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (@->AJF1\ oR7[[H.4 图7. 字母F在视网膜上颜色分析 @Bds0t 脚本代码 A3)"+`&PUl S/"G=^~ Option Explicit 'Remove this to enable non-dimensioned variables to be used. i-PK59VZ8f djH&)&q! Dim entity As T_ENTITY {]2^b ) Dim op As T_OPERATION auga`* Dim mat As T_MODELMATERIAL 4%2APvLW Dim A As Double \3OEC` Dim pupilDiam As Double zOd*> Dim eID As Long ? X6M8` Dim parID As Long VCfHm"'E8 Dim count As Integer "iTjiH)Q( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double D&i\dgbK Dim tlens As Double, nlens As Double XLC9B3Jt Dim curv As Double, conic As Double 8OKG@hc Dim ok As Long M6mgJonN| 9}%$j Sub Main M!+J[q q8_(P& '用户输入对话框 6@TU9AZS` Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <o/!M6^: TextBox 220,21,40,21,.TextBox1 'default: 0 sC.b'1P Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ckMG4
3i\j OKButton 40,91,90,21 /v^'5j1o CancelButton 190,91,90,21 R\|,GZ!`+ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 )by7[I0v TextBox 220,49,40,21,.TextBox2 'default: 4 H1f='k]SZ End Dialog hs[x\:})/ Dim dlg As UserDialog 4j~q,#$LW G &xtL ok = Dialog (dlg) $m;`O_-T #B<EMGH If ok=0 Then 'cancel button was pressed 23P&n(. Print "Execution cancelled." S=ZZ[E_~S End Ym1vq= End If <Xl#}6II tPQ|znB| 'Assign accommodation and pupil diameter & use defaults if field left empty w%.hALN5-C If dlg.TextBox1 = "" Then & ?x R A = 0 'Default accommodation }%p:Xv@X! Else H.\`(`6 A = CDbl(dlg.TextBox1) @Wc5r# End If n1J u=C :~ pGHl If dlg.TextBox2 = "" Then gE _+r pupilDiam = 4 'Default pupil diameter /1MmOB Else @>HTbs6W pupilDiam = CDbl(dlg.TextBox2) h <e End If r5DRF4,7 `*Yw-HL Print " " gYD1A\ Print "Accommodation = " & A & " Diopters"
jd](m:eG Print "Pupil Diameter = " & pupilDiam & " mm" :ZM9lBY h ,U3 ' Calculate new parameters with accommodation eJ99 W= taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness !gve]>M nd]SI;< Rant = 12.0 - 0.4*A 'Radius of anterior lens R3~,&ab CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens >x{("``D0y 8@;]@c)m Rpost = -5.224557 + 0.2*A 'Radius of posterior lens H:@hCO[a CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 5E\.YqdV rS{}[$Zpl tlens = 3.767 + 0.04*A 'Lens thickness $DoR@2~y hI'WfF!X nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction c,4~zN8Ou Q,[G?vbj 'Adjust parameters to account for accommodation u#,8bw?1 iM@$uD$_Q2 '************************************************************************* +4s]#{mP 'Aqueous thickness (Position of Lens) =vbG'_[7 '************************************************************************* eR$@Q eID = FindFullName( "Geometry.Arizona Eye.Lens" ) j(=w4Sd_W GetCustomElement eID, entity {Sf[<I C(ij_> parID = FindFullName( "Geometry.Arizona Eye" ) UGSZg|&6#* hx9{?3# ' Delete any shift(s) in z t>[W]%op count = 0 S@/{34, While GetOperationCount(eID)>count _~z
oMdT! GetOperation eID, count, op JM3[
yNSN@ If op.Type="ShiftZ" Then IMkE~0x4</ DeleteOperation eID,count |NuMDVd+s count=count-1 FJ_7<4ET End If cLV*5?gVO count=count+1 k7^hcth Wend qYC&0`:H 7%y$^B7{ 'Set new shift in zmo2uUEd op.Type = "ShiftZ" Ix- Mp
op.val1 = taq gQ_<;'m)2 op.parent = parID DZSS AddOperation eID, op 0$*7lQ<a#M Print "Set aqueous humor thickness = " & taq-0.55 7*l$i/! xDo0bR( '************************************************************************* Q;]JVT1 'Radius and conic constant of anterior lens 3`bQ0-D; '************************************************************************* *?FVLE eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :W.H#@'( GetConic eID, entity, curv, conic l7|z]v- gXxi; g SetConic eID, entity, 1/Rant, CCant Y4rxnXGw Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "`>6M&`U 2_q/<8t '************************************************************************* 9{u= 'Radius and conic constant of posterior lens @G4Z '************************************************************************* /j~~S'sw eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) NiZfaC6V GetConic eID, entity, curv, conic ("8 Hku? @7Ec(]yp SetConic eID, entity, 1/Rpost, CCpost h.edb6 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost $
VT) T#ls2UL*xh '************************************************************************* ,b*?7R 'Lens thickness (Position of posterior lens surface) _%e8GWf '************************************************************************* !D=! tgF~5
o}? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wW%b~JX vNSUrf,r ' Delete any z-shift(s) ,X|Oe@/ count = 0 ^B<-.(F While GetOperationCount(eID)>count GHsDZ(d3. GetOperation eID, count, op UD-+BUV If op.Type="ShiftZ" Then V'kBF2} DeleteOperation eID,count >V"{]v count=count-1 YK/? mj1x End If =t,oj6P~ count=count+1 W`[VLi}fe Wend A%^?z. *j3U+HV 'Set new z-shift jr`swyg op.Type = "ShiftZ" RN`TUCQL op.val1 = tlens I):c# op.parent = parID Cff6EE AddOperation eID, op jwI2T$ Print "Set lens thickness = " & tlens Ichg,d-M-K Ic'D#m '************************************************************************* c}@E@Y`@w 'Lens index of refraction Ae2N"%Ej '************************************************************************* A|"T8KSMB eID = FindMaterial( "Lens" ) ~cm4e>o GetModelMaterial eID, mat HM% +Y47a (dg,w*t' mat.Nd = nlens #N][-i SetModelMaterial eID, mat
#w; "s* Print "Set lens index of refraction = " & nlens Fg`<uW]TFZ kXL0 '************************************************************************* mZiKA-t 'Pupil diameter =X'[r '************************************************************************* /`M# eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) JZ}zXv G8}owszT 'Adjust pupil diameter (trimming volume inner hole) Z66Xj-o |eRE'Wd0 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T={!/y+ /4+L2O[ ' Adjust pupil location to just in front of the lens #w''WOk@ZG parID = FindFullName( "Geometry.Arizona Eye" ) &J/EBmY[ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) M[qhy. count = 0 ?l~qb]._ While GetOperationCount(eID)>count (VO'Kd GetOperation eID, count, op _OGv2r If op.Type="ShiftZ" Then lW"0fZ_x'E DeleteOperation eID,count ! VT$U6 count=count-1 ,~3rY,y- End If f}yRTR GJv count=count+1 #j Tkz Wend %vO(.A+ op.Type = "ShiftZ" reR@@O op.val1 = taq-0.01 5@RcAQb: op.parent = parID #e.x]v: AddOperation eID, op )"?'~ 5A >,Y+ 1 Print "Set pupil diameter = " & pupilDiam 53hX%{3 r0nnmy]{d 'Update AZ Eye subassembly Description *SJ[~ eID = FindFullName( "Geometry.Arizona Eye" ) v{$?Ow T/u GetEntity eID, entity A,&711Y entity.Description = "Accommodation = " & A & "D" r],%:imGr SetEntity eID, entity F=Xb_Gd` ;%0kzIvP Update ;39b.v\^ Print "DONE!" #6a!OQj -0 xo6'mD End Sub " O
r1 fC Z;N3mD+\ye 如果屈光度是4,光瞳直径是4,则会输出如下数据: ~0+<-T )*_G/<N)| Accommodation = 4 Diopters z
8M\(< Pupil Diameter = 4 mm WZ`i\s1# Set aqueous humor thickness = 2.81 }8AH/ Set anterior lens radius = 10.4 and conic constant = -2.375869 i%!<9D~n Set posterior lens radius = -4.424557 and conic constant = -3.081019 Zrwd Set lens thickness = 3.927 3XB`|\: Set lens index of refraction = 1.42672 A3.I|/ Set pupil diameter = 4 Jqzw94 DONE! [*u\ S &~;M16XM,e q{V e%8$" QQ:2987619807 v6G1y[Wl
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