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简介 U=v>gNba 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。 ,|f=2t+5X 5a |[cR 模型 Dw=L]i
:0v 5|0}bv O 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。 l@4pZkdq '[r: pwE Table 1. AZ眼睛模型的定义 _d!sSyk` 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.
,]wab6sY Vc\g"1x 光源 2<7pe@c98 m.P
F'_)/ 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。 b'(AVA 2tU3p<[ ~U+<JC Z 图1. 光源和提示信息使用 ErN[maix# 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。 =u0=)\0@r dC<%D'L* 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。 _Q:ot'(~0- +s}!+I8P 图2. 字母F光源的设定方法光 {F_>cyR $7X;FmlG& 图3. 字母F在视网膜上位置点列图 +sJ{9# 6 视网膜的散射 tE>FL -raK 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 %2RXrH2&H .0nT*LF fq1w <e 图4. 视网膜朗伯散射设定 [\F:NLjiUy 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 [voc_o7AI -0uGzd+m* 9X[378f+( 图5. 视网膜重点采样规格设定 ^PdD-tY< 脚本 =$}`B{(H t<`wK8) 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: lC*xyOK }P=FMme{F( 图6. 用户对话框的创建与编辑 D~qi6@Ga 图7. 用户对话框编辑器 .aL%}`8l? 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。 =Q"thsR 余下的脚本计算与屈光度有关的所有参数。 Bl)D/ =}ZY`O*/ 分析 bO6z;D# +VIEDV+ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [3irr0D7l Pf8_6 z_ 图7. 字母F在视网膜上颜色分析 ~+6#4<M.~ 脚本代码
zCq6k7u XffHF^l9F Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?@A@;`0Y %jUZc:06 Dim entity As T_ENTITY GDj_+G;tO\ Dim op As T_OPERATION }+ W5Snx Dim mat As T_MODELMATERIAL "6e3Mj\ Dim A As Double .&=\
*cZc Dim pupilDiam As Double q89yW)XG Dim eID As Long lYS4Q`z$ Dim parID As Long bq7()ocA Dim count As Integer GNG.N)q#C Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q2|6W E Dim tlens As Double, nlens As Double ?h7[^sxJ Dim curv As Double, conic As Double HVC|0} Dim ok As Long z:n
JN%Qb ( ^=kV?< Sub Main PzjIM!> T~>&m~} + '用户输入对话框 *nM.`7g*[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4J[bh TextBox 220,21,40,21,.TextBox1 'default: 0 cP21x<n Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _qit$#wK; OKButton 40,91,90,21 X7aj/:fXe CancelButton 190,91,90,21 Yk4ah$}%-^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 gi
A(VUwI> TextBox 220,49,40,21,.TextBox2 'default: 4 Xp^>SSt:4 End Dialog )sEAPIka Dim dlg As UserDialog y9:o];/ =c[mch%E ok = Dialog (dlg) <
Lrd(b; ?!34qh If ok=0 Then 'cancel button was pressed or`"{wop Print "Execution cancelled." ]sI{+$~:c End ^w
RD| End If YkV-]%c @XF/hhGE_y 'Assign accommodation and pupil diameter & use defaults if field left empty ,g)9ZP.F If dlg.TextBox1 = "" Then )o_$AbPt A = 0 'Default accommodation piUfvw Else Zfr?(y+3 A = CDbl(dlg.TextBox1) "%t !+E>nr End If /Hc0~D4|x Lj3q?>D*^6 If dlg.TextBox2 = "" Then \AR3DDm pupilDiam = 4 'Default pupil diameter k.0pPl Else HQ|{!P\/?U pupilDiam = CDbl(dlg.TextBox2) _`94CC: End If xeHqC9Ou 7w"YCRKh Print " " Kib?JRYt Print "Accommodation = " & A & " Diopters" In4T`c?kQ Print "Pupil Diameter = " & pupilDiam & " mm" Z$@ XMq! M7lMOG(\ ' Calculate new parameters with accommodation hmd, g>J:< taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 2TC7${^9}J "V_PWEi Rant = 12.0 - 0.4*A 'Radius of anterior lens Yc'7F7.<6 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 4VL]v9 kA:cz$) Rpost = -5.224557 + 0.2*A 'Radius of posterior lens !NOvKC! CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens z[, ` z//6yr tlens = 3.767 + 0.04*A 'Lens thickness -1u N
Z{0 ? Kn~fs8 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ?+#E&F iNs 'Adjust parameters to account for accommodation 0ID
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[ <<![3&p# '************************************************************************* T+/Gz' 'Aqueous thickness (Position of Lens) <BN)>NqM '************************************************************************* 'W j Q eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T%F8=kb-9 GetCustomElement eID, entity J_mpI.^Bsf 9X{aU)"omQ parID = FindFullName( "Geometry.Arizona Eye" ) M:(k7a+[^ VuW&CnZ ' Delete any shift(s) in z h^0!I TL ^ count = 0 Z5{M_^ While GetOperationCount(eID)>count g<{W\VOPm GetOperation eID, count, op #6JCm!s If op.Type="ShiftZ" Then akQtre`5sd DeleteOperation eID,count ^Q_0Zq^H count=count-1 IV:Knh+
? End If T3{qn$t8 count=count+1 2S8/
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Wend )P.|Xk:r %P9Zx!i> 'Set new shift in B)"WG7W E op.Type = "ShiftZ" |^@TA=_ op.val1 = taq VG\ER}s&P op.parent = parID ziy~~J AddOperation eID, op 8DLMxG Print "Set aqueous humor thickness = " & taq-0.55 T ,gMc ^IM;D)X&: '************************************************************************* 15gI-Qb 'Radius and conic constant of anterior lens FUm-Fp '************************************************************************* =N
n0)l eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) gzHjD-g-< GetConic eID, entity, curv, conic $0K9OF9$ :h3
Gk;u SetConic eID, entity, 1/Rant, CCant Md[nlz Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d8
ve$X 82Vxk '************************************************************************* Yb x4 Up@ 'Radius and conic constant of posterior lens _&JlE$ua7 '************************************************************************* ^QV;[ha,o eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ^ yu^Du GetConic eID, entity, curv, conic 7IZ(3B<87t jvm
"7)h SetConic eID, entity, 1/Rpost, CCpost 4(YKwY2_L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost iygdX2 P5vM y'1X '************************************************************************* ">voi$Kzey 'Lens thickness (Position of posterior lens surface) .'7o,)pJ< '************************************************************************* BbiBtU "Rs^0iT7> parID = FindFullName( "Geometry.Arizona Eye.Lens" ) M* QqiE ZwF_hm=/[ ' Delete any z-shift(s) &2#x(v count = 0 P/Sv^d5=e While GetOperationCount(eID)>count G m<t2Csn GetOperation eID, count, op F=^vu7rf If op.Type="ShiftZ" Then o~^hsm[44J DeleteOperation eID,count ]Wv\$JXI count=count-1 ~Cj+6CrT End If <6n(a)L1 count=count+1 }
"y{d@ Wend s bW` =UNzjmP503 'Set new z-shift +5);"71 op.Type = "ShiftZ" 59T:{d;~ op.val1 = tlens t_@%4Wn!1L op.parent = parID
D[]vJ AddOperation eID, op |n67!1 Print "Set lens thickness = " & tlens >48zRi\N O2Rv^la '************************************************************************* |'=R`@w~0 'Lens index of refraction -@L*i|A '************************************************************************* HHoh//(\ eID = FindMaterial( "Lens" ) R[Kyq|UyVr GetModelMaterial eID, mat b\VY)=U 0V`0=" rQ mat.Nd = nlens 1"~@UcJ SetModelMaterial eID, mat MF]s(7U4` Print "Set lens index of refraction = " & nlens q^goi1 &HZ"<y{j '************************************************************************* V!3O
1 'Pupil diameter kY4riZnm '************************************************************************* }3^t,>I=,6 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) aLuxCobV ,p>=WX 'Adjust pupil diameter (trimming volume inner hole) !>;p^^e J0lTp / SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R^fVwDl\ 1|n,s- ' Adjust pupil location to just in front of the lens WQ =C5^u parID = FindFullName( "Geometry.Arizona Eye" ) SH5GW3\h eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 6#.z:_ count = 0 F
~
/{1Q* While GetOperationCount(eID)>count m/%sBw\rx GetOperation eID, count, op O^4:4tRpt If op.Type="ShiftZ" Then SAc}5. DeleteOperation eID,count 4 K{4=uU count=count-1 B]InOlc47 End If p^7ZFUP count=count+1 US0)^TKrj Wend vXRfsv y op.Type = "ShiftZ" UFm E`|le op.val1 = taq-0.01 44mYs`] op.parent = parID VL&E2^*E AddOperation eID, op
"+r8izB ,H1j&]E! Print "Set pupil diameter = " & pupilDiam N6EH RBJgQ<j8 'Update AZ Eye subassembly Description I%b,
H` eID = FindFullName( "Geometry.Arizona Eye" ) ZVVK:dDgt GetEntity eID, entity C B=H1+ entity.Description = "Accommodation = " & A & "D" 'X"@C;q SetEntity eID, entity 9] Uvy| w,;CrW T2t Update * pyi; Print "DONE!" )#9/vIQ }*hY#jo1 End Sub 2YdMsu~ Y)g7
E" 如果屈光度是4,光瞳直径是4,则会输出如下数据: h$G&4_O 2Do^N5y Accommodation = 4 Diopters 2W~,,$
G Pupil Diameter = 4 mm x'+lNlv Set aqueous humor thickness = 2.81 h~urZXD< Set anterior lens radius = 10.4 and conic constant = -2.375869 7y&Fb Set posterior lens radius = -4.424557 and conic constant = -3.081019 Txj%o5G Set lens thickness = 3.927 O (<Wn- Set lens index of refraction = 1.42672 uw&GXOzew9 Set pupil diameter = 4 j^"Z^TEBT DONE! IO/2iSbW @]Aul9.h (文章来源:讯技光电)
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