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简介 b$
8R 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。 ]NW_oRH b
~]v'|5[ 模型 * _usVg gE*7[*2?t 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。 qOQ8a:]? |G/)<1P Table 1. AZ眼睛模型的定义 icVB?M,m 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. gCRPaF6 ?Ec{%N% 光源 ^HuB40 *(wxNsK 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。 plr3&T~,&S )Xt#coagS l LBzY`j 图1. 光源和提示信息使用 p,(W?.ZDN? 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。 HHgv,bC! \v{HjqVkC 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。 I;?PDhDb =l]
lwA- 图2. 字母F光源的设定方法光 /c!^(5K
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5ZDP| 图3. 字母F在视网膜上位置点列图 nsq7dhq 视网膜的散射 Bz%wV- k%sxA 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。 ApggTzh@ ,j(E>g3 Ix(,gDN 图4. 视网膜朗伯散射设定 +l]>(k.2 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。 @a=jSB#B V`c,U7[/ f"AT@Ga] 图5. 视网膜重点采样规格设定 {C8IYBm 脚本 {od@Sl ]j*uD317 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: -V"W jWvi%Iqi 图6. 用户对话框的创建与编辑 Q_0_6,Opb 图7. 用户对话框编辑器 L0{[L 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。 >xF&>SDC 余下的脚本计算与屈光度有关的所有参数。 nHZhP4W QTN24 q4 分析 ![I|hB [yc7F0Aw 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<(+ l)Ln nq+6ipx 图7. 字母F在视网膜上颜色分析 oe<@mz/ 脚本代码 BT$Oh4y4 MIiBNNURX Option Explicit 'Remove this to enable non-dimensioned variables to be used. 3'0Jn6( eZhF<<Y Dim entity As T_ENTITY zqQ[uO]m? Dim op As T_OPERATION i]@k'2N Dim mat As T_MODELMATERIAL JnqP`kYbTE Dim A As Double :>H{? Dim pupilDiam As Double COBjJ3 Dim eID As Long !HhF*Rlr Dim parID As Long eQ6wEeB9 Dim count As Integer )
jM-5}" Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double }1CvbB%,A Dim tlens As Double, nlens As Double c@nh>G:y{& Dim curv As Double, conic As Double
J!3;\ Dim ok As Long d{ B0a1P +^AAik<yl Sub Main Z>X]'q03 S<i.O '用户输入对话框 V|awbff: Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ,C_MB1u TextBox 220,21,40,21,.TextBox1 'default: 0 U.I7p Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 d@b2XCh<K OKButton 40,91,90,21 Are0Nj&? CancelButton 190,91,90,21 &%(SkL_] Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 XgeUS;qtta TextBox 220,49,40,21,.TextBox2 'default: 4 hKnV=Ha( End Dialog 7*WO9R/ Dim dlg As UserDialog tuY=)? ip*^eS^ ok = Dialog (dlg) 1>2
/1> yOP$~L#TWs If ok=0 Then 'cancel button was pressed `JGW8 _ Print "Execution cancelled." vkG%w; End ^4Se=Hr
z2 End If $DnR[V}rR! $?[pcgv 'Assign accommodation and pupil diameter & use defaults if field left empty nhZ/^`Y< If dlg.TextBox1 = "" Then 8A-*MU`+ A = 0 'Default accommodation VuK>lY& Else WqCj;Tj| A = CDbl(dlg.TextBox1) _oefp*iWS End If WZTv G_ ~qk/7mF If dlg.TextBox2 = "" Then lKqFuLHwF pupilDiam = 4 'Default pupil diameter YZ<5-C Else n 1^h;2gz pupilDiam = CDbl(dlg.TextBox2) G"Ey%Q2K End If m<*+^JN 2jkma :$' Print " " q$ j Print "Accommodation = " & A & " Diopters" N\?__WlBK7 Print "Pupil Diameter = " & pupilDiam & " mm" OKu~Nb* k!6m'}v ' Calculate new parameters with accommodation i`iR7UmHeR taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness [I<J6= W58%Zz4a Rant = 12.0 - 0.4*A 'Radius of anterior lens ?T|0"|\"' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Aq>?G+ 8&qtF.i-6 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens XV)ctF4 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens z 61F q 6J$I8b#/ tlens = 3.767 + 0.04*A 'Lens thickness QXy=| Y%r>=Jvu6 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ) <w`:wD wqzpFPk( 'Adjust parameters to account for accommodation Q;nC #cg hC]:+.Q+ '************************************************************************* )N\ BC 'Aqueous thickness (Position of Lens) D& &71X ' '************************************************************************* (FGHt/! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) S5UQ
GetCustomElement eID, entity +u&3pK>f giesof parID = FindFullName( "Geometry.Arizona Eye" ) C!6D /S 3&+nV1 ' Delete any shift(s) in z
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@? count = 0 #v6<9>% While GetOperationCount(eID)>count 6
Pdao{P GetOperation eID, count, op :$P1ps3B If op.Type="ShiftZ" Then gp'k(rGH DeleteOperation eID,count "\5 T
6 count=count-1 z('t#J!b End If 3Jj&wHp] count=count+1 T;S6<J Wend <P]%{msGH sx' eu;S 'Set new shift in ~K(mt0T) op.Type = "ShiftZ" %;aB#:p6 op.val1 = taq ?<Mx* l op.parent = parID `9\^.g) AddOperation eID, op mSk";UCn Print "Set aqueous humor thickness = " & taq-0.55 g{kjd2 ]U}B~Y '************************************************************************* Jq8v69fyQ 'Radius and conic constant of anterior lens wk1/& '************************************************************************* 79h'sp6; eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) PO:sF]5 GetConic eID, entity, curv, conic 6X4r2Vq # 00?]6`z SetConic eID, entity, 1/Rant, CCant nmyDGuzk Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,,7hVw nXjSf '************************************************************************* kD)]\ 'Radius and conic constant of posterior lens \}YAQ'T '************************************************************************* |M18/{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +NeoGnj GetConic eID, entity, curv, conic #GUD^#Jh 7E5=Qx SetConic eID, entity, 1/Rpost, CCpost tOo\s&j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost }2Y`Lr 6X!jNh$oF '************************************************************************* NR%_&%qQA 'Lens thickness (Position of posterior lens surface) 80Q%c( i '************************************************************************* ^a1k"|E?f ]a[2QQ+g parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 53^3..E| 5FsfJpw ' Delete any z-shift(s) >Qg-dJt[ count = 0 -av=5hm While GetOperationCount(eID)>count *V[I&dKq GetOperation eID, count, op O.-A)S@ If op.Type="ShiftZ" Then J2Qt! - DeleteOperation eID,count I<Mb/!TQ count=count-1 lc]cs D End If S5YEz
XG count=count+1 ,v?FR
}v Wend ;*=7>"o'` t5 P8?q\ 'Set new z-shift b7gN|Hw5 H op.Type = "ShiftZ" 4i<GqG op.val1 = tlens $P2*qpqy op.parent = parID bHXoZix AddOperation eID, op 7Rc>LI*
' Print "Set lens thickness = " & tlens b+L !p.:
u_FN'p=. '************************************************************************* .*z$vl 'Lens index of refraction sN) xNz '************************************************************************* RS@G.| eID = FindMaterial( "Lens" ) SA%)xGRW GetModelMaterial eID, mat BaMF5f+ [<d_#(]h' mat.Nd = nlens ~~Rq$'q} SetModelMaterial eID, mat aEun *V^, Print "Set lens index of refraction = " & nlens YtXd>@7 tGSXTF}G '************************************************************************* 9S l5jn 'Pupil diameter !\'HKk~V '************************************************************************* /)?qD eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) y
k\/Cf ,jl4W+s 'Adjust pupil diameter (trimming volume inner hole) >\3N#S"PF 43~v1pf{! SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]3Jb$Q@ IIF <Zkpb ' Adjust pupil location to just in front of the lens 1qp"D_h parID = FindFullName( "Geometry.Arizona Eye" ) 5XuQQ!` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) kxmsrQ>av count = 0 %MEWw While GetOperationCount(eID)>count |;I"Oc.w^R GetOperation eID, count, op "{c@}~ If op.Type="ShiftZ" Then 7h>, DeleteOperation eID,count itcM-? count=count-1 %zhSSB=BJ End If X?(R!=a count=count+1 z f>(Y7M Wend VJ1rU mO~ op.Type = "ShiftZ" (nYGN$qC9 op.val1 = taq-0.01
@l&{ j op.parent = parID H;[?8h( AddOperation eID, op OM`Ws5W}f NceK>::56 Print "Set pupil diameter = " & pupilDiam E
5mYFVK k7(lwEgNG 'Update AZ Eye subassembly Description Ds{DVdqA$c eID = FindFullName( "Geometry.Arizona Eye" ) 2(P<TP._E GetEntity eID, entity ?=HoU3 entity.Description = "Accommodation = " & A & "D" _{GD\Ai_W SetEntity eID, entity WHu[A/##'] =GiN~$d Update L[U?{ Print "DONE!" B3I0H6O $y UPua/- End Sub nj-LG!"a
=NWzsRl, 如果屈光度是4,光瞳直径是4,则会输出如下数据: L(C0236r $J0o%9K
Accommodation = 4 Diopters gf^y3F[\ Pupil Diameter = 4 mm "Id1H Set aqueous humor thickness = 2.81 4E$d"D5]>p Set anterior lens radius = 10.4 and conic constant = -2.375869 A-h[vP!v| Set posterior lens radius = -4.424557 and conic constant = -3.081019 +,)Iv_Xl$ Set lens thickness = 3.927 7Jpq7; Set lens index of refraction = 1.42672 "
BU4\QF- Set pupil diameter = 4 Kp!A
ay DONE! R{6M(!x v|@EuN14< (文章来源:讯技光电)
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