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简介 WO4=Mte? .MW@; 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。 4D%9Rc0 G 93qwH% 模型 {CG_P,FO ,B(7\ 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。 5AS[\CB4 r)9Dy, Table 1. AZ眼睛模型的定义 PjT=$] 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. a {}|Bf< Md6]R-l@ 光源 M2x[" <^~FLjsfg 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 X{n- N5* ECdvX0*a u<q :$ 图1. 光源和提示信息使用 b*;"q9u5 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。 \l"&A n%R;-?*v 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。 $WYbm}j - K%,^6 图2. 字母F光源的设定方法光 K3uG2g(>2 "'8KV\/D 图3. 字母F在视网膜上位置点列图 pL1Q7&&c0 视网膜的散射 n?\ nn3 !Fw?H3X!"q 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。 qm Tb-~ (>6*#9#p >-_d CNZ 图4. 视网膜朗伯散射设定 *#%9Rp2| 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。 uPYmHA}_/ cYx4~ V^ HkV1sT 图5. 视网膜重点采样规格设定 QB:i/9 脚本 MS(JR ~^u16z, 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: [S.ZJUns 9jN)I(^D6 图6. 用户对话框的创建与编辑 nJRS.xs 图7. 用户对话框编辑器 tx"sH]n 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。 -U<Upn)2 余下的脚本计算与屈光度有关的所有参数。 Z3k(P _A<u#.yd 分析 a9n^WOJ6 VL[R(a6c
< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ;fw1 x}U8zt)yD3 图7. 字母F在视网膜上颜色分析 sS&Z ,A 脚本代码 "fg](Cp[z VIP7OHJh Option Explicit 'Remove this to enable non-dimensioned variables to be used. EFpIp4_Y -~eJn'W Dim entity As T_ENTITY hlu:=<B Dim op As T_OPERATION hjO*~ Dim mat As T_MODELMATERIAL ^qCkt1C-M Dim A As Double ]M)O YY Dim pupilDiam As Double \BWykA> Dim eID As Long f<+4rHT Dim parID As Long hYQ_45Z*? Dim count As Integer ,#.9^J Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
z:d+RMA Dim tlens As Double, nlens As Double `;Xwv) Dim curv As Double, conic As Double Mb+CtI_' Dim ok As Long \eCQL(_ g7r0U6Y Sub Main )QB9zl: Fq!-
%Y '用户输入对话框 $yZ(ws Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Fv3:J~Yf TextBox 220,21,40,21,.TextBox1 'default: 0 ?m h0^G Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 kOV6O?h OKButton 40,91,90,21 =UV=F/Af^ CancelButton 190,91,90,21 71G00@&w9D Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :Oc&{z?q TextBox 220,49,40,21,.TextBox2 'default: 4 jO5Wemqf End Dialog *h~(LH"tN Dim dlg As UserDialog v]m#+E IWnyqt(k ok = Dialog (dlg) JT*Pm"} W4S]2P>T If ok=0 Then 'cancel button was pressed s/OXZ<C| Print "Execution cancelled." 8_uh2`+Bvb End ixJwv\6Y End If 7J$Yd976 hJGWa%` 'Assign accommodation and pupil diameter & use defaults if field left empty }>m3V2>[ If dlg.TextBox1 = "" Then }\d3 A = 0 'Default accommodation du^r EMb% Else _R;+}1G/ A = CDbl(dlg.TextBox1) -P$E)5?^ End If G2hBJTW jAOD&@z1 If dlg.TextBox2 = "" Then 5h>t4 [~ pupilDiam = 4 'Default pupil diameter .iH#8Z
Else l&m'?.gf pupilDiam = CDbl(dlg.TextBox2) ?r}!d2:dX End If zNQ|G1o )4bZ;'B5 Print " " d5tpw$A Print "Accommodation = " & A & " Diopters" dWhF[q" Print "Pupil Diameter = " & pupilDiam & " mm" x^JjoI2vf 'W|@d8}h ' Calculate new parameters with accommodation D(gpF85t taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0%5x&vx'S :@q9ll`6u Rant = 12.0 - 0.4*A 'Radius of anterior lens *!x/ia9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens b}jLI_R{ f>C|qDmT Rpost = -5.224557 + 0.2*A 'Radius of posterior lens o)IcAqN$H CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 0Z>oiBr4 0 ;ov^] tlens = 3.767 + 0.04*A 'Lens thickness m#(ve1E N>_d {=P nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^Sz?c_<2P &)|3OJ'o 'Adjust parameters to account for accommodation b{Kw.?85 7<c&)No; '************************************************************************* @DYkWivLu 'Aqueous thickness (Position of Lens) /WIHG0D '************************************************************************* G q
r(. eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9=Rj9% GetCustomElement eID, entity UT7".1H hDs.4MZC` parID = FindFullName( "Geometry.Arizona Eye" ) `)R@\@jt 5CuK\< ' Delete any shift(s) in z "Z6: d"S` count = 0 6">jf #pE While GetOperationCount(eID)>count c~UYs\ GetOperation eID, count, op RU'DUf If op.Type="ShiftZ" Then 4c=oAL DeleteOperation eID,count 1f1J'du count=count-1 u!DSyHR
' End If #/9(^6f: count=count+1 _"`U.!3* Wend kM\O2ay `-N&cc 'Set new shift in {G%!M+n< op.Type = "ShiftZ" fE/8;v!= op.val1 = taq jsvD[ \P op.parent = parID &p$SFH?s AddOperation eID, op #YSUPO%F Print "Set aqueous humor thickness = " & taq-0.55
<&'r_m -ijQTB '************************************************************************* 1H_#5hd 'Radius and conic constant of anterior lens <`q|6XWL '************************************************************************* 0Fh*8a}?b eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) bMD'teJ GetConic eID, entity, curv, conic 5i$~1ZC g~@0p7]Y SetConic eID, entity, 1/Rant, CCant 5yQv(<~*G Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant WLWE%bDP pstQithS '************************************************************************* hoi hdVjv 'Radius and conic constant of posterior lens ~R cd '************************************************************************* m!:7ur:Y eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ^F~e?^s GetConic eID, entity, curv, conic #?i#q%q DwZt.* SetConic eID, entity, 1/Rpost, CCpost WU1o4&OF Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost oA~m*| u
hP0Zwn '************************************************************************* q9oF8&O, 'Lens thickness (Position of posterior lens surface) = sIR[V'( '************************************************************************* j78xMGKO v-)eT parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9kP!O_ C<fNIc~. ' Delete any z-shift(s) K.R2)o` count = 0 +c\s%Gzrh While GetOperationCount(eID)>count 64\Z OG\, GetOperation eID, count, op tb0XXEE If op.Type="ShiftZ" Then 3_T'TzQu DeleteOperation eID,count 4ij` count=count-1 ;?2vW8{p< End If VSZ 6;&2^ count=count+1 VJCh5t* Wend ^;s`[f|w H8K<.RY 'Set new z-shift %TG$5')0 op.Type = "ShiftZ" X{#@ :z$ op.val1 = tlens Ai->,<Ig] op.parent = parID Mn~A;=%qF AddOperation eID, op 9$Mi/eLG2N Print "Set lens thickness = " & tlens 45j+n.9=
2c%}p0<;|? '************************************************************************* .3|9 ~] 'Lens index of refraction R/^JyL '************************************************************************* sp**Sg) eID = FindMaterial( "Lens" )
A]U] GetModelMaterial eID, mat MmWJYF= h0.Fstf] mat.Nd = nlens `6mHt6"h SetModelMaterial eID, mat : 6>H\ Print "Set lens index of refraction = " & nlens [k'Ph33c y-n\;d>[( '************************************************************************* -'PpY302 'Pupil diameter `FJnR~d
'************************************************************************* Xq>e]#gR eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ;7`<.y ri JyH;) 'Adjust pupil diameter (trimming volume inner hole) BE"nyTQ w ^<Y5K SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ){YPP !8cI GmL |7 6 ' Adjust pupil location to just in front of the lens ~2H7_+.# parID = FindFullName( "Geometry.Arizona Eye" ) ($S{td; eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) BRD'5 1]| count = 0 [V)sCAW While GetOperationCount(eID)>count )E7A,ZW, GetOperation eID, count, op u\e#_*> If op.Type="ShiftZ" Then -/gS s<" DeleteOperation eID,count Gr6ma*)y~t count=count-1 !7xp<= End If (J$A count=count+1 "}OFwes Wend Y$ChMf op.Type = "ShiftZ" Oq[E\8Wn op.val1 = taq-0.01 jujx3rnK? op.parent = parID =` i 7? AddOperation eID, op S-rqrbr|AT `C*!de]Y% Print "Set pupil diameter = " & pupilDiam bg
HaheU %C3cdy_c 'Update AZ Eye subassembly Description *}_/:\v eID = FindFullName( "Geometry.Arizona Eye" ) y2 +a2 GetEntity eID, entity Nr[Rp entity.Description = "Accommodation = " & A & "D" k(
g$_ ]X SetEntity eID, entity _"sRL}-Z M)J *Df0@ Update nUd\4;J# Print "DONE!" sd[QtK^ wFJK!9KA8 End Sub Agi1r]W EORRSP,$2 如果屈光度是4,光瞳直径是4,则会输出如下数据: zJnVO$A' Un/fP1 Accommodation = 4 Diopters {;4PP463 Pupil Diameter = 4 mm _#gsR"FZ$ Set aqueous humor thickness = 2.81 aqM_t Set anterior lens radius = 10.4 and conic constant = -2.375869 t~M<j|]k Set posterior lens radius = -4.424557 and conic constant = -3.081019 vv0zUvmT Set lens thickness = 3.927 WvJ?e Set lens index of refraction = 1.42672 +E [b Lz^ Set pupil diameter = 4 yQA[X} DONE! (Z$6JNkz
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