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简介 WR"p2= aD3Q-a[ 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。 Cqk6I gw K3t^y`z 模型 rW3fd.;kss yh Ymbu 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。 "A9 c] aG\B?pn- Table 1. AZ眼睛模型的定义 _u`W$EG
L 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. PK*
$ D<cHa | 光源 I^6zUVH Bhrp"l
+| 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。 KcjP39@I uJ$!lyJ6L u5FlT3hY. 图1. 光源和提示信息使用 1%6}m`3 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ];go?.*C Ws`P(WHm 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 z<mU$< C,D~2G 图2. 字母F光源的设定方法光 w~g)Dz2G
`#lNur\x 图3. 字母F在视网膜上位置点列图 `W8dayZt 视网膜的散射 :
LI*#~'Ka w#,C{6 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。 Sc*O_c3D ?79ABm
a aNCIh@m~ 图4. 视网膜朗伯散射设定 K(HP PM\ 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。 U{o0Posg m.p{+_@M& UpS`KgF"v 图5. 视网膜重点采样规格设定 MLcc 脚本 Ui7S8c#tH 7m=tu?@ 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: xAD: Z" Vj"B# 图6. 用户对话框的创建与编辑 /%U+kW 图7. 用户对话框编辑器 ~V"D|U;i + 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。 ``}EbOMG 余下的脚本计算与屈光度有关的所有参数。 amIG9:-1' GRb"jF>ut 分析 (;' ?56 Hay`lA2@ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?8n`4yO0 B@l/'$G 图7. 字母F在视网膜上颜色分析 /nRi19a%xU 脚本代码 p/xxoU M: qeqn+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. </|IgN$w` _{6QvD3kg. Dim entity As T_ENTITY :'!,L0I|t Dim op As T_OPERATION C_Y^< Dim mat As T_MODELMATERIAL YzSUJ=0/ Dim A As Double D`LcL|nmH Dim pupilDiam As Double <w.W[ak Dim eID As Long ucyz>TL0 Dim parID As Long =LS?:Mhm Dim count As Integer 1
{dhGX Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]v3 9ag_hu Dim tlens As Double, nlens As Double :0j9 Dim curv As Double, conic As Double 9Ay*' Dim ok As Long ZUb6d*B >9(lFh0P Sub Main V7!x-E/ &<-Sxjj '用户输入对话框 wz5xJ:T j Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 E3y" TextBox 220,21,40,21,.TextBox1 'default: 0 <Vr" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 h\b]>q@ OKButton 40,91,90,21 G_g~-[O CancelButton 190,91,90,21 Y6/'gg'&5 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 INsc!xOQ TextBox 220,49,40,21,.TextBox2 'default: 4 {b[8x
End Dialog XS]=sfN Dim dlg As UserDialog VC\43A,9 Kgi%Nd ok = Dialog (dlg) AW4N#gt8', 9Nglt3J[ If ok=0 Then 'cancel button was pressed -#H>kbs Print "Execution cancelled." C XZm/^ End 1GVJ3VXt End If 16[>af0<g EUU9JnQhBJ 'Assign accommodation and pupil diameter & use defaults if field left empty 7E4=\vM If dlg.TextBox1 = "" Then `(<XdlOj A = 0 'Default accommodation J.mEOo!> Else Iw8;",e2 A = CDbl(dlg.TextBox1) xjiMM>|n End If 7M<Ae
D% BCk$FM@ If dlg.TextBox2 = "" Then
SEF/D0 pupilDiam = 4 'Default pupil diameter MVK=' Else r>sk@[4h pupilDiam = CDbl(dlg.TextBox2) _) 2fXG! End If IM}T2\tZ} ?&ThMWl Print " " 0m6Vf
x Print "Accommodation = " & A & " Diopters" UwrinkoeE Print "Pupil Diameter = " & pupilDiam & " mm" a= ;7 FJgr=9> ' Calculate new parameters with accommodation >Qz#;HI taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness CeoK@y=o 6+A<_r`#Q Rant = 12.0 - 0.4*A 'Radius of anterior lens z,[4BM CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens gR"'|c J{Ei+@^/9 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens V6?ku6k CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Glcl7f"<^ meT~b tlens = 3.767 + 0.04*A 'Lens thickness Id(o6j^J_ {BKu'A nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction hV])\t=yf ~mx me6"v 'Adjust parameters to account for accommodation 1+v&SU e'mm4 2 '************************************************************************* snOd
3Bw 'Aqueous thickness (Position of Lens) k:Sxs+)?1 '************************************************************************* L"A,7@:Vd eID = FindFullName( "Geometry.Arizona Eye.Lens" ) h.ojj$f, GetCustomElement eID, entity
mHB*4L tzJdUZJ parID = FindFullName( "Geometry.Arizona Eye" ) \B8tGog wGD".CS0 ' Delete any shift(s) in z T~7i:<E^ count = 0 3:7J@> While GetOperationCount(eID)>count mS5'q q;t GetOperation eID, count, op Wc ]BQn If op.Type="ShiftZ" Then t/LQ|/xo DeleteOperation eID,count LCx{7bN1ro count=count-1 @*e|{;X]hy End If j1%o+#df count=count+1 A&rk5y; Wend j|TcmZGO b26#0;i 'Set new shift in w d2GKq! op.Type = "ShiftZ" ^&buX_nlO op.val1 = taq B>*zQb2: op.parent = parID Vrzx;V% AddOperation eID, op |}
;&xI Print "Set aqueous humor thickness = " & taq-0.55 NypM+y >Lx,<sE '************************************************************************* #'fh'$5" 'Radius and conic constant of anterior lens VliX'.- '************************************************************************* R7}=k)U?d@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Y b\t0:_ GetConic eID, entity, curv, conic oa$-o/DhB 5A
oKlJrY SetConic eID, entity, 1/Rant, CCant O*xC}$OOn Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant B :#5U85m ~A2{$C '************************************************************************* ;=
^kTb`X 'Radius and conic constant of posterior lens gR}>q4b '************************************************************************* NFw7g&1;Kp eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) EjW3_ % GetConic eID, entity, curv, conic <0T5W#H`D B,@geJ SetConic eID, entity, 1/Rpost, CCpost 0YK`wuZGS Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost (|+Sbq(o 'RK.w^ '************************************************************************* 9o5W\.A7[D 'Lens thickness (Position of posterior lens surface) oU`8\n]( '************************************************************************* X- 2 rC dCv@l7hE parID = FindFullName( "Geometry.Arizona Eye.Lens" ) qniP`P4E jN
9|q ' Delete any z-shift(s) =<Q_&_.60 count = 0 ap;?[B~Ga While GetOperationCount(eID)>count )@+lfIE(l GetOperation eID, count, op vFKX@wV S If op.Type="ShiftZ" Then /{@^h#4M1 DeleteOperation eID,count QP/%+[E. count=count-1 };;\&# End If Bu|Uz0Y count=count+1 C_xOk'091 Wend !lQGoXQ'4 &c!d}pU} 'Set new z-shift ZI.;7G@| op.Type = "ShiftZ" .>?h op.val1 = tlens o zg%- op.parent = parID !_EL{ /ko AddOperation eID, op CR8a)X4j# Print "Set lens thickness = " & tlens y.,S}7l: vC$Q4>m '************************************************************************* 8 Z|c!QIU 'Lens index of refraction M]9oSi '************************************************************************* "9F]Wv/ eID = FindMaterial( "Lens" ) )Dn~e#
GetModelMaterial eID, mat L(Ww6oj
/tIR}qK mat.Nd = nlens $p_FrN{ SetModelMaterial eID, mat T.ZPpxY Print "Set lens index of refraction = " & nlens &"X6s%ZH| Cwo(%Wc '************************************************************************* kg@D?VqJP 'Pupil diameter 6x18g(KbP '************************************************************************* dLA'cQId eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]MI>"hn "s[Y$!# 'Adjust pupil diameter (trimming volume inner hole) 'zYKG5A Bfh[C]yy SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" p#-ov-znp C\.mv |aW~ ' Adjust pupil location to just in front of the lens iMgfF_r parID = FindFullName( "Geometry.Arizona Eye" ) [HEqMBX=; eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Xxl>,QUA count = 0 oh%kuO T[ While GetOperationCount(eID)>count ~vf&JH'! GetOperation eID, count, op WY=RJe2 If op.Type="ShiftZ" Then z^(6>U
? DeleteOperation eID,count 31BN ?q count=count-1 ?gZJ v End If 5<0d2bK$ count=count+1 P<+y%g(({ Wend In1VW|4h op.Type = "ShiftZ" !sF! (u7 op.val1 = taq-0.01 1\v$8pP+ op.parent = parID wLa^pI4p ^ AddOperation eID, op M :m-i X L,@OOBD Print "Set pupil diameter = " & pupilDiam i&cH {HgW9N( 'Update AZ Eye subassembly Description |.bp eID = FindFullName( "Geometry.Arizona Eye" ) G5^gwG+ GetEntity eID, entity "|1MJuY_6 entity.Description = "Accommodation = " & A & "D" @G/':N SetEntity eID, entity #
SmM5% +{%@kX<V_ Update %}z/_QZ Print "DONE!" 7ko7)"N tE)%*z@<Lt End Sub ETu7G5? 'pE %'8R 如果屈光度是4,光瞳直径是4,则会输出如下数据: Y`FGD25` )G(6=l* Accommodation = 4 Diopters Lh=~3 Pupil Diameter = 4 mm ^$][ah Set aqueous humor thickness = 2.81 7f4R5c Set anterior lens radius = 10.4 and conic constant = -2.375869 C,C=W]G Set posterior lens radius = -4.424557 and conic constant = -3.081019 eO,
Set lens thickness = 3.927 gbc^Lb Set lens index of refraction = 1.42672 h]Zc&&+8{ Set pupil diameter = 4 ;qI5GQ { DONE! &}Y_EHj}
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