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简介 }2 X" |J_kS90= 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。 BY&+fKae FK:Tni 模型 >U2[]fu 9pPohR*#V 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。 QEb
^'y `'gadCTb= Table 1. AZ眼睛模型的定义 Zd Li<1P*d 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. B0&W wa: g6wL\g{29 光源 XXe?@w2{ I8%2tLVY 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。 fzhCV ]a
,H!0i W :qQ 图1. 光源和提示信息使用 $v#\bqY 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 !-OPzfHrI RqenPMk 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 |oL}c!0vs 42If/N? 图2. 字母F光源的设定方法光 /xu#ZZ?8F_ >3J?O96|f 图3. 字母F在视网膜上位置点列图 GmJ4AYEP 视网膜的散射 pod=|(c "PI]k 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 p3N/"t&> IeZgF> :hA=(iz 图4. 视网膜朗伯散射设定 <%~`!n,t0 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 js~?y|e8k R54wNm@ C@7<0w 图5. 视网膜重点采样规格设定 ,$xV&w8f\" 脚本 -#e3aXe Z^'i16 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: 82z\^a \TF='@u. 图6. 用户对话框的创建与编辑 d8o<Q 9 图7. 用户对话框编辑器 2yt)"DnFk 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。 ^@"EI|fsP 余下的脚本计算与屈光度有关的所有参数。 :zWI" x'c%w: 分析 <x^Ab#K" ?mRGFS 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 J2ryYdo> 04u^Q 图7. 字母F在视网膜上颜色分析 *G6Py,- !f 脚本代码 zlw+=NX f7mN,_Lt Option Explicit 'Remove this to enable non-dimensioned variables to be used. `ecIy_O3P& I>(3\z4s Dim entity As T_ENTITY ZYi."^l Dim op As T_OPERATION tE~OWjL Dim mat As T_MODELMATERIAL W'B=H1 Dim A As Double p#yq 'kY Dim pupilDiam As Double sFvu@Wm'7W Dim eID As Long PU"C('AP Dim parID As Long R;6$lO8C& Dim count As Integer 5Q9nJC{'NN Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double KTQy pv Dim tlens As Double, nlens As Double 8H%-/2NW Dim curv As Double, conic As Double h
!yu. v Dim ok As Long dE`a1H% fs:%L Sub Main nNN~Z'bG YEg(QOn3Q '用户输入对话框 A$H;2T5N Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 b#17N2xkT TextBox 220,21,40,21,.TextBox1 'default: 0 !sJ*0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 z;#DX15Rj OKButton 40,91,90,21 ++HHUM CancelButton 190,91,90,21 sghQ!ux Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 sb]{05: TextBox 220,49,40,21,.TextBox2 'default: 4 $CXMeY{tOo End Dialog qt.G_fOz Dim dlg As UserDialog \$iU#Z y,.X5#rnX* ok = Dialog (dlg) s.zfiJ b%TS37`^[ If ok=0 Then 'cancel button was pressed hhqSfafUX Print "Execution cancelled." EGY'a*]cU End ~$bkWb*RJ End If 24}?GO kzK4i!} 'Assign accommodation and pupil diameter & use defaults if field left empty |\Zs oA If dlg.TextBox1 = "" Then I|`/#BYbW A = 0 'Default accommodation -Tzp;o Else Ji#"PE/Pt A = CDbl(dlg.TextBox1) "L(4 EcO@ End If }^}fx [ h0=Q .Yz6 If dlg.TextBox2 = "" Then e1EFZ,EcaO pupilDiam = 4 'Default pupil diameter {1<XOp#b Else CSA.6uIT pupilDiam = CDbl(dlg.TextBox2) 5*q!:$
W End If 5)T=^"IHXi iut[?#f^ Print " " +# 38 Print "Accommodation = " & A & " Diopters" o~_ wx Print "Pupil Diameter = " & pupilDiam & " mm" cEP!DUo a/nKKhXaM ' Calculate new parameters with accommodation 0L
^WTq taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {hXIP` 5Oa`1?C1 Rant = 12.0 - 0.4*A 'Radius of anterior lens 9(\eL9^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens "<#-#j tR!!Q Rpost = -5.224557 + 0.2*A 'Radius of posterior lens |>Q]q CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens R>r@I_ $,/;QP} tlens = 3.767 + 0.04*A 'Lens thickness qHGwD20 ~ a-A>A_. nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !vaS fL*] (.CEEWj%{ 'Adjust parameters to account for accommodation \NiW(!Z} <~%e{F:[# '************************************************************************* $,mljJSQv 'Aqueous thickness (Position of Lens) zKY 9'y '************************************************************************* #[Z1W8e eID = FindFullName( "Geometry.Arizona Eye.Lens" ) eaG _)y GetCustomElement eID, entity ke+3J\;> S\,~6]^T parID = FindFullName( "Geometry.Arizona Eye" ) U#u=9%' :c*_W
/ ' Delete any shift(s) in z P0Q]Ds| count = 0 ,n}h_ct While GetOperationCount(eID)>count (O&R-5m GetOperation eID, count, op 4TPAD)C If op.Type="ShiftZ" Then rx$B(z(c DeleteOperation eID,count B7*^rbI:X count=count-1 5i<E AKL End If ![>j`i count=count+1 Q^B !^_M Wend _gLj(<^9 LU7ia[T 'Set new shift in prdlV)LTpY op.Type = "ShiftZ" VssD op.val1 = taq *ommU(r8 op.parent = parID P2j"L#% AddOperation eID, op dR^7d _! Print "Set aqueous humor thickness = " & taq-0.55 \\Z{[{OZ hHu?%f* '************************************************************************* PsV1btq] 'Radius and conic constant of anterior lens 5>S<9A|Q '************************************************************************* ! U6 x_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Y`U[Y Hx GetConic eID, entity, curv, conic >" z$p@7 (>LJv |wn SetConic eID, entity, 1/Rant, CCant ^L,Uz:[J Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant vi4lmkyh^ )zKZ<;#y '************************************************************************* S260h,(, 'Radius and conic constant of posterior lens 5Nt40)E}sN '************************************************************************* 68!W~%?pR eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0-=PP@W GetConic eID, entity, curv, conic ?k}"g$JFn }Qqi013E L SetConic eID, entity, 1/Rpost, CCpost wqZ*$M Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost e2}5<
7 q[wVC
h '************************************************************************* |})7\o 'Lens thickness (Position of posterior lens surface) HRG2sv T4t '************************************************************************* >k)zd- I?z*.yA* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /}ADV2sF Jn+k$'6%# ' Delete any z-shift(s) >$g+Gx\v4 count = 0 /Cl=;^) While GetOperationCount(eID)>count ag7(nn0! GetOperation eID, count, op &|LP>'H; If op.Type="ShiftZ" Then 0wA?.~ L DeleteOperation eID,count )[Bl3+' count=count-1 x=7qC#+) End If <*vWcCS1 count=count+1 *oW^P~m/ Wend #cF ?a5 iVQ)hsW/ 'Set new z-shift G'dN_6ho3 op.Type = "ShiftZ" s^QXCmb$8 op.val1 = tlens s4&JBm(33N op.parent = parID 1pDL()t AddOperation eID, op :mI[fQ Print "Set lens thickness = " & tlens Xh[02iL- HXg#iP^tv '************************************************************************* jx?"m=`s: 'Lens index of refraction NmH:/xU?^ '************************************************************************* Wb;x
eG eID = FindMaterial( "Lens" ) ]6*+i $ GetModelMaterial eID, mat Yqz
B=" 50?5xSEM0_ mat.Nd = nlens ,iy;L_N SetModelMaterial eID, mat FL /395 <: Print "Set lens index of refraction = " & nlens 1%^d<%,] zfBaB0 P '************************************************************************* PAcbC|y 'Pupil diameter 4_i6qu(4 '************************************************************************* zNo(|;19 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]CnqPLqL X *fle 'Adjust pupil diameter (trimming volume inner hole) ,RYahu c1 ~= SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Bt?.8H6Y Y;B#_}yF ' Adjust pupil location to just in front of the lens fN-y8 parID = FindFullName( "Geometry.Arizona Eye" ) q]}1/JZS eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Qt
VZ)777 count = 0 W4ygJL7 6 While GetOperationCount(eID)>count UomO^P GetOperation eID, count, op gT=RJB If op.Type="ShiftZ" Then
L>PPAI DeleteOperation eID,count ~=#jr0IZ count=count-1 3v:c".O2O End If n#fc=L1U count=count+1 mz<wYV* Wend }w%W A&"W op.Type = "ShiftZ" E{#Y= op.val1 = taq-0.01 (F.vVldBy op.parent = parID B*,Qw_3dG AddOperation eID, op #ozQF~ [-pB}1Dxb Print "Set pupil diameter = " & pupilDiam ;<~lzfs
8ba*:sb 'Update AZ Eye subassembly Description !arTR.b\ eID = FindFullName( "Geometry.Arizona Eye" ) ;=ci7IT' GetEntity eID, entity rjJ-ZRs\ entity.Description = "Accommodation = " & A & "D" +P//p$pE SetEntity eID, entity e|~s'{3 /EXubU73 Update 1$^=M[v Print "DONE!" M,f|.p{,Y %J
'RO End Sub $S(q;Y
Ts~)0 如果屈光度是4,光瞳直径是4,则会输出如下数据: VJ'bS9/T G1`H
H& Accommodation = 4 Diopters Pp9nilb_( Pupil Diameter = 4 mm Pqc+p E Set aqueous humor thickness = 2.81 |vLlEN/S Set anterior lens radius = 10.4 and conic constant = -2.375869 Wt8=j1> Set posterior lens radius = -4.424557 and conic constant = -3.081019 iI.d8}A Set lens thickness = 3.927 G._E9 Set lens index of refraction = 1.42672 ^ 1 P@BRh Set pupil diameter = 4 s/=.a2\ DONE! MGGc
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