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简介 9fs-|E[5 7l/ZRz}1 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。 %t6-wWM97 kf<c[ su 模型 RcJtVOrd mA.,.<xE@ 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。 DC/Czkv9
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!e Table 1. AZ眼睛模型的定义 dg~lz8 0 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. RhB)AUAj QL7.QG
光源 `YwJ.E 5|r*,!CF 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。 [aA@V0l F_-xp1| m3o -p 图1. 光源和提示信息使用 zx$1.IM"4 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。 j[R.UB3J CLmo%"\s 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。 rp"5176
jTg~]PQ^ 图2. 字母F光源的设定方法光 PW5)") z oj{CNa 图3. 字母F在视网膜上位置点列图 479X5Cl 视网膜的散射 #C. ,W[J@4. 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。 )qMbk7:v\ ;a>u7rw A/:_uqm4 图4. 视网膜朗伯散射设定 'nM4t 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。 %x{kd8>u! i\^4EQ :2M&C+f[ 图5. 视网膜重点采样规格设定 _#r00Ze 脚本 -n[(0n3c vR!g1gI23 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: $+n6V2^K)7 /i27F2NQm 图6. 用户对话框的创建与编辑 U/kQw rM 图7. 用户对话框编辑器 vOz1& |;D 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 d8agM/F*/ 余下的脚本计算与屈光度有关的所有参数。 .QKyB>s }Md;=_TP 分析 Ng !d6] R{bG`C8.d 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 o<3$|`S& 6YNL4HE? 图7. 字母F在视网膜上颜色分析 IaSpF<&Y; 脚本代码 ,>b>I#{ NNbdP;=:u Option Explicit 'Remove this to enable non-dimensioned variables to be used. *-5N0K<kQ
&qdhxc4 Dim entity As T_ENTITY m }HaJ Dim op As T_OPERATION %>=6v}f,+ Dim mat As T_MODELMATERIAL 9NU0K2S Dim A As Double Y2 J-`o$5 Dim pupilDiam As Double B1!xr-kC Dim eID As Long m#8PX$_ Dim parID As Long /; Bmh= Dim count As Integer J+E,Ui ZU Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double O8bxd6xb Dim tlens As Double, nlens As Double EV{Ys}3M Dim curv As Double, conic As Double [H<TcT8 Dim ok As Long kUS]g
r~i !*"fWahv Sub Main 4%ooJi|) D%yY&q;
'用户输入对话框 u)<s*jk Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 RfTGTz@H TextBox 220,21,40,21,.TextBox1 'default: 0 9!uiQ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 CKK}Z;~: OKButton 40,91,90,21 ]nB|8k=J CancelButton 190,91,90,21 A|+QUPD Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 '-RacNY TextBox 220,49,40,21,.TextBox2 'default: 4 RhHm[aN End Dialog 7LVG0A2>7 Dim dlg As UserDialog BXYH&2]Q HVHv,:bPo ok = Dialog (dlg) I@9'd$YY 6u+aP If ok=0 Then 'cancel button was pressed ySmbX Print "Execution cancelled." [DM0'4 End OQKeU0v End If @0@ZlHwM 7:<w)Al! 'Assign accommodation and pupil diameter & use defaults if field left empty 8;DDCop 8L If dlg.TextBox1 = "" Then ?![[la+f A = 0 'Default accommodation kzRJzJq uP Else
6j<!W+~G A = CDbl(dlg.TextBox1) ciS, End If rYr*D[m] |sReHt2)d If dlg.TextBox2 = "" Then /gZyl|kdy pupilDiam = 4 'Default pupil diameter @GFB{ ;= Else , [|aWT%9 pupilDiam = CDbl(dlg.TextBox2) MWh Y&I+ End If 3J+2#ML \CMZ_%~wU Print " " !o /=,ZIx Print "Accommodation = " & A & " Diopters" |R0f--; Print "Pupil Diameter = " & pupilDiam & " mm" Q# B0JT1 [Vo5$w ' Calculate new parameters with accommodation f
5v&4 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 9aJIq{ `E 7pyzPc#_ Rant = 12.0 - 0.4*A 'Radius of anterior lens ai/|qYf CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens !,m :dSda,!z Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 3x0t[{l CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens sF{aG6u EsMX#1>/m tlens = 3.767 + 0.04*A 'Lens thickness wfmM`4Y 5.9<g>C nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction U-I,Q+[C[^ eluN~T:W 'Adjust parameters to account for accommodation G@k]rwub !#c'|
*k '************************************************************************* J ay" 'Aqueous thickness (Position of Lens) `5IrV&a '************************************************************************* vQljxRtW eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?;ok9Y GetCustomElement eID, entity T-en|. N,Eap KG parID = FindFullName( "Geometry.Arizona Eye" ) $^ws#}j K*>%,mP$i ' Delete any shift(s) in z t*gZcw5 r count = 0 4o*i(W While GetOperationCount(eID)>count f4"UI-8;n GetOperation eID, count, op .:$(o& If op.Type="ShiftZ" Then Ktq 4b%{ DeleteOperation eID,count {%R^8 count=count-1 X7},|cmD_ End If DiFYVR<@ count=count+1 V*giF`gq Wend R~\R>\ [7Lr" 'Set new shift in QqA=QTZ} op.Type = "ShiftZ" (~GQncqa op.val1 = taq uuC ["Z op.parent = parID .^Sglo AddOperation eID, op ubcB<=xb Print "Set aqueous humor thickness = " & taq-0.55 -&1(~7 D'g,<-ahl '************************************************************************* v675C# l( 'Radius and conic constant of anterior lens .XJ'2yKof '************************************************************************* H7zN|NdNw eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {&=+lr_h? GetConic eID, entity, curv, conic Q(bOar5 Q^(CqQo!< SetConic eID, entity, 1/Rant, CCant 8xPt1Sotq[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]r
Uj<[O 0k]ApW '************************************************************************* 6"Uu;Q 'Radius and conic constant of posterior lens t'n@yX_ '************************************************************************* vK',!1]y eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 5\+*ml GetConic eID, entity, curv, conic Xs0)4U x4MmBVqp SetConic eID, entity, 1/Rpost, CCpost }[AaI # Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XF!L.' zH |oY{TQ<<d '************************************************************************* 2XP
}:e 'Lens thickness (Position of posterior lens surface) g#5R||r '************************************************************************* 4p:d#,?r PkvW6,lS parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7v5]%%E/ %HUex
6! ' Delete any z-shift(s) ingG
count = 0 a(gXvgrf[ While GetOperationCount(eID)>count (RddR{mX GetOperation eID, count, op cQ8[XNa If op.Type="ShiftZ" Then +:S`] DeleteOperation eID,count Cv**iW count=count-1 Gv-VDRS End If 7(Fas(j3 count=count+1 w*F[[*j@. Wend B7%K}|Qg h^Wb<O`S 'Set new z-shift &
l>nzJ5? op.Type = "ShiftZ" 4V@%Y,:ee op.val1 = tlens d_9 Cm@ op.parent = parID gv*b`cl AddOperation eID, op eZ'8JU] Print "Set lens thickness = " & tlens ]
ZV[}7I. b>ai"! '************************************************************************* +A}t_u3< 'Lens index of refraction +_5*4>MC '************************************************************************* lw@Yn>eza eID = FindMaterial( "Lens" ) q0.!T0i GetModelMaterial eID, mat s scbf ~KK}
$iM mat.Nd = nlens =7 l
uV_5 SetModelMaterial eID, mat 3#7V1 Print "Set lens index of refraction = " & nlens qG9a!sj 7^gO>2~ '************************************************************************* JipNI8\r 'Pupil diameter Z/Rp?Jz\j/ '************************************************************************* pN9 ! eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) y``\^F UqK.b}s 'Adjust pupil diameter (trimming volume inner hole) <ToS& ;s+/'(* SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Y{}
ub]i (?z?/4>7< ' Adjust pupil location to just in front of the lens `B%%2p& parID = FindFullName( "Geometry.Arizona Eye" ) Mu3G/|t( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) m$vq%[/# count = 0 )N.3Q1g- While GetOperationCount(eID)>count s)-An(Uw GetOperation eID, count, op )D8op;Fn If op.Type="ShiftZ" Then +( LH!\{^ DeleteOperation eID,count _^iY;& count=count-1 q5f QTV End If j7}mh count=count+1 j.=:S; Wend 6n9/`D! op.Type = "ShiftZ" 9g6$"',H op.val1 = taq-0.01 v "l).G? op.parent = parID 2S8;=x}/ AddOperation eID, op }B0[S_mw +XWTu! Print "Set pupil diameter = " & pupilDiam lR?y
tIY ChiIQWFE 'Update AZ Eye subassembly Description fFJ7Y+^ eID = FindFullName( "Geometry.Arizona Eye" ) tA(oD4H9 GetEntity eID, entity 9\8ektq}Z entity.Description = "Accommodation = " & A & "D" ]it.
R- SetEntity eID, entity ZqclmCi e$9a9twl Update [ja^Bhu Print "DONE!" }a" =K%b<\ A7L; ims7 End Sub [UwQi!^-O bxa>:71 如果屈光度是4,光瞳直径是4,则会输出如下数据: vHi%UaD-y \(Ma>E4PNU Accommodation = 4 Diopters mm>l:M TF Pupil Diameter = 4 mm @b(@`yz.a Set aqueous humor thickness = 2.81 ilL% Set anterior lens radius = 10.4 and conic constant = -2.375869 h0F=5| B Set posterior lens radius = -4.424557 and conic constant = -3.081019 gSFZ>v*6 Set lens thickness = 3.927 =z. hJu Set lens index of refraction = 1.42672 ?`+VWa[,e Set pupil diameter = 4 .$\-{) DONE! %n$f#Ml_r
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