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简介 ;;EDN45 @k=cN>ZMc 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。 82j'MgGP fH{9]TU_: 模型 uL2"StW 5x*5|8 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。 ! (2-(LgA ?TvQ"Y}k Table 1. AZ眼睛模型的定义 ;j>*;Q` 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. $x?NNS_ "J 6B7< 光源 zq,iLoY[R 38[)[{G)Hv 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 C>*5=p|T ;EgzC^2e I\}|Y+C$d/ 图1. 光源和提示信息使用 gKmX^A5< 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。 7cIC&(h5 2{Wo-B,wt~ 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。 `d75@0: 285_|!.Y 图2. 字母F光源的设定方法光 E|pk. \n[
392 图3. 字母F在视网膜上位置点列图 ;*y|8od
B 视网膜的散射 Up<~0 +p13xc?#j 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。 M6J/mOVx5 ;KZrl` 'dkXYtKCB 图4. 视网膜朗伯散射设定 Y.q>EUSH 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。 }KK2WJp#M XR|"dbZW.0 }ppVR$7]0 图5. 视网膜重点采样规格设定
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( 5 脚本 /@Ez" ?V2 b& V`<'{ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 3AK(dC[ri c\M#5+ 1j 图6. 用户对话框的创建与编辑 {T&v2u#S 图7. 用户对话框编辑器 fGb7=Fk 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Xad*Iulj 余下的脚本计算与屈光度有关的所有参数。 g]za"U|g `8,w[o oC2 分析 x;Gz6| !/947Rn 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 sYI~dU2H t)ld<9)eB 图7. 字母F在视网膜上颜色分析 [(1O" 脚本代码 -PM)EGSk{ ~uB'3`x Option Explicit 'Remove this to enable non-dimensioned variables to be used. l<TIG3bs iSlFRv?a Dim entity As T_ENTITY tVunh3- Dim op As T_OPERATION i`+B4I8[ Dim mat As T_MODELMATERIAL 1 o|T Dim A As Double Sr&T[ex,. Dim pupilDiam As Double vVAb'`ysv Dim eID As Long 8zZSp Dim parID As Long z!:'V] Dim count As Integer job[bhK'Jt Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double m=QCG)s Dim tlens As Double, nlens As Double =N_,l'U\^ Dim curv As Double, conic As Double eZNitGaU Dim ok As Long @;m$ua*|: \OcMiuw Sub Main Z v4<b O-j$vzHpdY '用户输入对话框 l)Zs-V!M^\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]M3#3Ha" TextBox 220,21,40,21,.TextBox1 'default: 0 W<NmsG})_g Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #XI"@pD OKButton 40,91,90,21 O6iCZ CancelButton 190,91,90,21 Noh?^@T`Ov Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 $M':&i5`, TextBox 220,49,40,21,.TextBox2 'default: 4 snYr9O[E6 End Dialog :mpiAs<%U" Dim dlg As UserDialog &EovZ@u Jf)3< ~G ok = Dialog (dlg) &!jq!u$( , H2YpZk If ok=0 Then 'cancel button was pressed ~GG?GB Print "Execution cancelled." <qhBc:kc End 4<.O+hS
End If 6e .v&f7( Kd3QqVJBz1 'Assign accommodation and pupil diameter & use defaults if field left empty Q.k
:\m*h If dlg.TextBox1 = "" Then )p8I@E A = 0 'Default accommodation cXN _*% Else W&(f&{A A = CDbl(dlg.TextBox1) .
uR M{Bs End If /APcL5:= ~O:
U|& If dlg.TextBox2 = "" Then '# z]M pupilDiam = 4 'Default pupil diameter %M&3VQ9w Else Rg* J} pupilDiam = CDbl(dlg.TextBox2) \cQ .|S End If 5)'P'kVi7. B8m_'!;; Print " " "+|L_iuNQ Print "Accommodation = " & A & " Diopters" Y-p<qL|_ Print "Pupil Diameter = " & pupilDiam & " mm" 7byCc_, K>1X}ZMdD( ' Calculate new parameters with accommodation G#[*|+f8 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness jxw_*^w" W#XG; Rant = 12.0 - 0.4*A 'Radius of anterior lens gUVn;_ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 8g*hvPc = .oHnMX2M Rpost = -5.224557 + 0.2*A 'Radius of posterior lens '{f=hE_/ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Y
?'tUV GK{{ 7B tlens = 3.767 + 0.04*A 'Lens thickness a3@w|KLt aMK~1]Cx nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction l#bAl/c` IfV
3fJ7 'Adjust parameters to account for accommodation Ct]A%=cZW [pgZbOIN37 '************************************************************************* <7n]Ai@Y 'Aqueous thickness (Position of Lens) 8)xt(~qF '************************************************************************* _+w/
pS`M eID = FindFullName( "Geometry.Arizona Eye.Lens" ) &mE?y% GetCustomElement eID, entity .Q>!B?) ]Kdet"+ parID = FindFullName( "Geometry.Arizona Eye" ) 2cf' ,cv@8 rt4Z; ' Delete any shift(s) in z lBA +zZ count = 0 9z ?7{2C While GetOperationCount(eID)>count T_#,
A0 G GetOperation eID, count, op f h<*8w0H If op.Type="ShiftZ" Then x&=9P e( DeleteOperation eID,count 4MW ]EQ- count=count-1 Zk?
= End If hI|)u4q count=count+1 o6}n8U}bk Wend uDuF#3
+" .g% Y@r)=5 'Set new shift in #^rU x. op.Type = "ShiftZ" jo98
jA< op.val1 = taq oq;'eM1,. op.parent = parID RL}KAGK AddOperation eID, op
=P^wh Print "Set aqueous humor thickness = " & taq-0.55 Xl%0/o cHD%{xlb '************************************************************************* M{N(~ql 'Radius and conic constant of anterior lens K7`YJp`i '************************************************************************* . (`3JQ2s eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) HJhH-\{@ GetConic eID, entity, curv, conic :w-`PYJ%G y' x F0 SetConic eID, entity, 1/Rant, CCant :q+N&j'3 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >nnY:7m w+AuMc '************************************************************************* #a9_~\s 'Radius and conic constant of posterior lens $v27]"] '************************************************************************* +,flE=5]s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;+Yi.Q/\ GetConic eID, entity, curv, conic =-jD~rN4;P J7&DR^.Sw SetConic eID, entity, 1/Rpost, CCpost kv?|'DN Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <GIwRVCU F $yO '************************************************************************* fCUT[d +H 'Lens thickness (Position of posterior lens surface) 2x}6\t '************************************************************************* n9hm790x- >Da~Q WW| parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %mI~
=^za *\XH+/]+ ' Delete any z-shift(s) m],Ud\ count = 0 )0CQP While GetOperationCount(eID)>count ?nFO:N< GetOperation eID, count, op HW_& !ye If op.Type="ShiftZ" Then S GcBmjP DeleteOperation eID,count OtUrGQP count=count-1 }ot"Sx\. End If 5cfA;(H count=count+1 sic$uT Wend 5nLDj:C~
6rDfQ`f\p 'Set new z-shift F=wRkU op.Type = "ShiftZ" e<=;i" |
op.val1 = tlens <,8l *1C op.parent = parID 4zc<GL3[ AddOperation eID, op a/:XXy | Print "Set lens thickness = " & tlens m *X7T WS0JS' '************************************************************************* F9Z@x) 'Lens index of refraction ?&c:q3_-Z '************************************************************************* \2!!L=&4G eID = FindMaterial( "Lens" ) `~F5wh~ GetModelMaterial eID, mat f}fsoDoQ= D-ADv3E, mat.Nd = nlens |!*Xl)
] SetModelMaterial eID, mat Nw<P
bklz Print "Set lens index of refraction = " & nlens gA^q^>7 Zz"}Cz:bX '************************************************************************* 9'KonW 'Pupil diameter I3y9:4 '************************************************************************* 8k!6b\Imz eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Wk7WK` >i :d'
5O8 'Adjust pupil diameter (trimming volume inner hole) 5vOC CW n9UKcN- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" u?0d[mC 80hme+e ' Adjust pupil location to just in front of the lens F]=B'ZI parID = FindFullName( "Geometry.Arizona Eye" ) z'MS#6|} eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Oh!(@ count = 0 #@//7Bf% While GetOperationCount(eID)>count t&RruwN_; GetOperation eID, count, op $|<m9CW If op.Type="ShiftZ" Then !{%G0(Dv DeleteOperation eID,count ]T<^{jG count=count-1 ijYvqZ_ End If vq6%Ey3Gix count=count+1 1:NS}r+>3. Wend shFc[A,r} op.Type = "ShiftZ" `/:cfP\ op.val1 = taq-0.01 D3]BTkMMS; op.parent = parID &O1v,$}' AddOperation eID, op Y E1Hpeb Z85|I.mr Print "Set pupil diameter = " & pupilDiam j}WByaZ& (JZ".En#X 'Update AZ Eye subassembly Description JLm
@Ag eID = FindFullName( "Geometry.Arizona Eye" ) 'gTmH [be GetEntity eID, entity %$mjJw<|& entity.Description = "Accommodation = " & A & "D" %xlpB75N4N SetEntity eID, entity K{DAOQ.z -
q@69q Update =3'(A14C= Print "DONE!" *xH\)|3, ImkrV{,e End Sub j%tEZ"H "JhimgwvY 如果屈光度是4,光瞳直径是4,则会输出如下数据: {B{i(6C( 5Pke8K Accommodation = 4 Diopters l4T:d^Eb Pupil Diameter = 4 mm Cvn$]bt/s Set aqueous humor thickness = 2.81 9([6d.`~ Set anterior lens radius = 10.4 and conic constant = -2.375869 iuAq.$oi{ Set posterior lens radius = -4.424557 and conic constant = -3.081019 }~I|t!GL Set lens thickness = 3.927 Ft-6m% Set lens index of refraction = 1.42672 C0m\SNR Set pupil diameter = 4 TOT
PzB DONE! ~j&?/{7I *\ECf.7jz MCy~@)-IN QQ:2987619807 <DmTj$
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