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简介 r+W8m?oi (HX [bG` 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。 eABdye "'p+qbT8 模型 (Q
p]0 7<C~D,x6 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。 Lq8Z!AIw> +/UXy2VRt$ Table 1. AZ眼睛模型的定义 >|o9ggL`J5 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. 3M:B?2 #+DmH 光源 JI#Enh!Lv _F$t#.o 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 HZQ3Ht 3Vh zZjLt1 JgjL$n;F 图1. 光源和提示信息使用 :\=
NH0M 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。 uP'w.nA&2 A ** M"T 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。 3,cE/Ei t-gNG!B 图2. 字母F光源的设定方法光 "jN-Yd,z Dqcu$V] 图3. 字母F在视网膜上位置点列图 ..]X< 视网膜的散射 a>jI_)L ~^5n$jq 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{mj|~ $Aoqtz d\ 1^"aR# 图4. 视网膜朗伯散射设定 0-; P&m!! 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。 dcTM02kEh v+_Y72h*a GBOmVQ $Hb 图5. 视网膜重点采样规格设定 %-p{?=:K 脚本 F0^~YYRJV NF.6(PG| 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: ,(kXF: 7a_n\]t465 图6. 用户对话框的创建与编辑 }Z$G=;3# 图7. 用户对话框编辑器
ex!wY 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。 >xMhA`l 余下的脚本计算与屈光度有关的所有参数。 ysn[-l# cb&In<q 分析 "?(Fb_}i ITY!=>S- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 v?"ee&Y6 [?6D1b[ 图7. 字母F在视网膜上颜色分析 _N#3lU? 脚本代码 MxA'T(Ay Gqb-3ngH Option Explicit 'Remove this to enable non-dimensioned variables to be used. v 5ddb) HD^~4\% Dim entity As T_ENTITY {%~Ec4r Dim op As T_OPERATION s31_3?Vdf, Dim mat As T_MODELMATERIAL ew ,ed U Dim A As Double BU{V,|10a Dim pupilDiam As Double ]=VI"v<X Dim eID As Long
_q}%!#4 Dim parID As Long $ttr_4= Dim count As Integer \@"
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GM% Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double eZkz 1j~ Dim tlens As Double, nlens As Double c)YGwkY,, Dim curv As Double, conic As Double <Y'YpH`l Dim ok As Long \I{A33i2w 6Tmb@<I_ Sub Main 6]49kHgMhe RWcQT` '用户输入对话框 ,/U9v~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Rk0rHC6[ TextBox 220,21,40,21,.TextBox1 'default: 0 \-id[zKb Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 )cBV;
E< OKButton 40,91,90,21 U4pvQE.m< CancelButton 190,91,90,21 A'R sy6 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Io X9yGq TextBox 220,49,40,21,.TextBox2 'default: 4 \uIC<#o"N End Dialog y9 '3vZ Dim dlg As UserDialog ADUI@#vk %K,,Sl_ ok = Dialog (dlg) p{PYUW"?^ 3!UP>,! If ok=0 Then 'cancel button was pressed g o Z# Print "Execution cancelled." B\w`)c End LA0x6E+I End If BJrNbo;T Db:WAjU 'Assign accommodation and pupil diameter & use defaults if field left empty m,q<R1 If dlg.TextBox1 = "" Then :|Ty 0>k A = 0 'Default accommodation F+r6/e6a Else d7gSkna`5c A = CDbl(dlg.TextBox1) ^yZEpQN_ End If 'FXZ`+r| EZW?(%b>H If dlg.TextBox2 = "" Then }PuO$
L pupilDiam = 4 'Default pupil diameter 7!)%%K.z6 Else E/ )+hK& pupilDiam = CDbl(dlg.TextBox2) oI/ThM`=q End If |th )Q U\6DEnII?! Print " " |sAg@kM Print "Accommodation = " & A & " Diopters" UGgi) Print "Pupil Diameter = " & pupilDiam & " mm" 31Du@h8YX DR=1';63 ' Calculate new parameters with accommodation C" WZsF^3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gH.^NO5\' Rw%KEUDm Rant = 12.0 - 0.4*A 'Radius of anterior lens {`55nwd CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens u9(AT>HxT WRM}gWv* Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \)WjkhG<w# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens D._r@~o qo|iw+0Y tlens = 3.767 + 0.04*A 'Lens thickness .ji%%f (
PlNaasV nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $!w%= mD3#$E!A1 'Adjust parameters to account for accommodation Bw[V K7 _A*0K,F- '************************************************************************* 2ra4t]f6 'Aqueous thickness (Position of Lens) RPwSo.c4 '************************************************************************* {lJpcS eID = FindFullName( "Geometry.Arizona Eye.Lens" ) zZ-*/THB@R GetCustomElement eID, entity $la,_Sr p10->BBg parID = FindFullName( "Geometry.Arizona Eye" ) dZZ/(oE> <KX#;v!I
' Delete any shift(s) in z &baY[[N count = 0 g.Q ?Z{ While GetOperationCount(eID)>count KivzgNz GetOperation eID, count, op C/G[B?:h If op.Type="ShiftZ" Then 'z/hj>B< DeleteOperation eID,count zT8K})# count=count-1 H#K|SSqY? End If ^gImb`<6- count=count+1 IT|CfQ [D Wend X,~C +,,~<Vm 'Set new shift in ~7g6o^A> op.Type = "ShiftZ" F44")fY op.val1 = taq v80e]M! op.parent = parID '"Gi&:*nQ< AddOperation eID, op e6Y0G,K Print "Set aqueous humor thickness = " & taq-0.55 t*#T~3p ::6@mFL R '************************************************************************* D@e:Fu1\R 'Radius and conic constant of anterior lens KMa?2cJH# '************************************************************************* LJ?7W,? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) fqxMTTg@ GetConic eID, entity, curv, conic TQE_zOa: (#~063N,# SetConic eID, entity, 1/Rant, CCant 2\n6XAQ* Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant a9%#
J^! umk[\}Ip+P '************************************************************************* .vg;K@{ 'Radius and conic constant of posterior lens Gwe9<
y '************************************************************************* ^<c?I re eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V.qB3V$ GetConic eID, entity, curv, conic \TjsXy=:) "Z
<1Msz SetConic eID, entity, 1/Rpost, CCpost 3~ylBJJ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;IyQqP#,< Yyf8B '************************************************************************* [||$1u\% 'Lens thickness (Position of posterior lens surface) *=rl<?tX '************************************************************************* {>#Ya;E -4.+&' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) $P$OWp?b t5S S] ' Delete any z-shift(s) ~O!v?2it8q count = 0 *5^h>Vk/ While GetOperationCount(eID)>count ]'Bz%[C) GetOperation eID, count, op M%m$5[;n If op.Type="ShiftZ" Then k2~j:&p DeleteOperation eID,count iVE+c"c!2& count=count-1 +NQw^!0qy End If rRxqV?>n! count=count+1 ,xGkE7=5 Wend ?(Nls.c EyhQjsaT 'Set new z-shift :EZTJu op.Type = "ShiftZ" Gmc0yRN op.val1 = tlens z'
@F@k6 op.parent = parID =73wngw AddOperation eID, op yA~W|q(/V Print "Set lens thickness = " & tlens Tw$la kw rxO|k0x^C '************************************************************************* DF<_Ns! 'Lens index of refraction b1-JnEc '************************************************************************* h<[ o;E eID = FindMaterial( "Lens" ) Xcb\N GetModelMaterial eID, mat ,{$:Q}` US-P>yF mat.Nd = nlens "[76>\'H SetModelMaterial eID, mat Y>r9"X|&H Print "Set lens index of refraction = " & nlens k z<We/ vO 3fAB '************************************************************************* AkGCIn3 'Pupil diameter E1=]m '************************************************************************* M^a QH/=:" eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ~Os~pTo 2%QY~Ku~ 'Adjust pupil diameter (trimming volume inner hole) P7Kp*He) K*>lq|iu SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" H'GyWG|Wx t68h$u ' Adjust pupil location to just in front of the lens $Ad 5hkz parID = FindFullName( "Geometry.Arizona Eye" ) 7cH[}v`pn eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) xI$B",?( count = 0 .Gw;]s3 While GetOperationCount(eID)>count $5l 8V GetOperation eID, count, op ]h,XRD K If op.Type="ShiftZ" Then '~2;WF0h DeleteOperation eID,count L9(fa+$+# count=count-1 ?Yxk1Y4ig) End If -W2 !_ count=count+1 r\Zz=~![< Wend >J+hu;I5 op.Type = "ShiftZ" pno]Bld'z op.val1 = taq-0.01 5P [b/.n op.parent = parID >zVj+ AddOperation eID, op &jr'vS[b w`q):yXX Print "Set pupil diameter = " & pupilDiam t0(1qFi 46Vx)xX 'Update AZ Eye subassembly Description 6Dwj^e0 eID = FindFullName( "Geometry.Arizona Eye" ) 1d,;e:=j GetEntity eID, entity W&qE_r entity.Description = "Accommodation = " & A & "D" Vv#|%^0 SetEntity eID, entity WbB0{s \:, dWLu Update
G<U MZg Print "DONE!" blEs!/A` L>
> % End Sub F<VoPqHq =y.? =`" 如果屈光度是4,光瞳直径是4,则会输出如下数据: sz9C':`W ,SNN[a Accommodation = 4 Diopters #**vIwX-Q Pupil Diameter = 4 mm |5^tp Set aqueous humor thickness = 2.81 9q(*'rAm Set anterior lens radius = 10.4 and conic constant = -2.375869 -AWL :< Set posterior lens radius = -4.424557 and conic constant = -3.081019 LR|L P)I Set lens thickness = 3.927 Z(k7&^d Set lens index of refraction = 1.42672 [9Q}e;T Set pupil diameter = 4 5ELKL#( DONE! &;I=*B~kE$
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