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简介 -4{<=y?"a Fyatd 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。 JYbL?N ou{2@" 模型 E92KP?i +}os&[S 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。 0{}8( <k'h:KB?` Table 1. AZ眼睛模型的定义 p]2128kqx 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. .;`AAH'k a'yK~;+_9 光源 S k\K4 t)$:0 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 h^(*Tv-! z/2//mM q ,]L$ 图1. 光源和提示信息使用 <FkFs{(t 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。 XrGglBIV 8\A#CQ5b 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。 `Cynj+PCe B!L{ 图2. 字母F光源的设定方法光 !Pfr,a L2i_X@/ 图3. 字母F在视网膜上位置点列图 SP_75BJ 视网膜的散射 a![{M<Y~ j[J-f@F \Y 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。 #r~# I}U q\4Xs$APq
B Qxs~ 图4. 视网膜朗伯散射设定 Zaf:fsj> 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 .2Elr(&*h ?ri?GmI| LxSpctiNx 图5. 视网膜重点采样规格设定 9ZsVy 脚本 ,K"U>& W/bQd)Jvk 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: :zke %Yx 4-y:/8 图6. 用户对话框的创建与编辑 aa/(N7 图7. 用户对话框编辑器 A>;bHf@ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 u$Jz~:=, 余下的脚本计算与屈光度有关的所有参数。 <7Or{:Sc90 t:
;Pj9 分析 Em
!/a$ Y>dzR)~3[ 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]e 8a"/[{ Vl=l?A8 图7. 字母F在视网膜上颜色分析 m6\E$;` 脚本代码 ND#Yenye jB Z&Ad@e Option Explicit 'Remove this to enable non-dimensioned variables to be used. ;LPfXpR pis`$_kmwV Dim entity As T_ENTITY 4ber!rJM Dim op As T_OPERATION G+"t/?/ Dim mat As T_MODELMATERIAL N&+x+;Kx Dim A As Double ?*1uN=oI{* Dim pupilDiam As Double ;oKZ!ND Dim eID As Long Sc1 8dC0 Dim parID As Long v,{
:Ez(H Dim count As Integer r|fL&dtr Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double (Ag16 Dim tlens As Double, nlens As Double }1c|gQ Dim curv As Double, conic As Double 0oZ=
yh Dim ok As Long lH x^D;m6 4I
k{ Sub Main M2>Vj/ tGh~!|P '用户输入对话框 P%:wAYz1^O Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 6azGhxh TextBox 220,21,40,21,.TextBox1 'default: 0 i$:*Pb3mV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 'qb E= OKButton 40,91,90,21 F^t DL: CancelButton 190,91,90,21 b_#m}yZ6 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %Ycy{` TextBox 220,49,40,21,.TextBox2 'default: 4 ]}-7_n#cC End Dialog Bs_s&a> Dim dlg As UserDialog j_!F*yul kHghPn?8] ok = Dialog (dlg) 0w\zLU ~ Ei $nV If ok=0 Then 'cancel button was pressed g1/[eoZzk Print "Execution cancelled." vv3*
j&I End 7$vYo
_ End If QT<
}]
0 .9 on@S 'Assign accommodation and pupil diameter & use defaults if field left empty q77;ZPfs8 If dlg.TextBox1 = "" Then Utj&]RELK A = 0 'Default accommodation 1EO7H{E= Else 8>2.UrC A = CDbl(dlg.TextBox1) |+FubYf?$ End If HZzD VCU 7a=gH2]& If dlg.TextBox2 = "" Then VgG0VM
pupilDiam = 4 'Default pupil diameter G~^r)fm_ Else <
Mn ; pupilDiam = CDbl(dlg.TextBox2) w;[NH/A^a End If c z#rb*b '8RsN-w Print " " UqFO|r"M Print "Accommodation = " & A & " Diopters" "/*\1v9 Print "Pupil Diameter = " & pupilDiam & " mm" R[h9"0Y^ xjuN- ' Calculate new parameters with accommodation 8`q:Gz=M\ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness t9k zw*U9 $<dH?%!7 Rant = 12.0 - 0.4*A 'Radius of anterior lens k$z_:X CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <y2U3;t fnjPSts0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
_JzEGpeG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ITE{@1 *KZYv=s,u tlens = 3.767 + 0.04*A 'Lens thickness ?yrX)3hyH =t#llgi~ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction iW]j9} t q 6:dy 'Adjust parameters to account for accommodation [64:4/<} 'Vzp2 '************************************************************************* T]f ;km 'Aqueous thickness (Position of Lens) ?(' wn< '************************************************************************* zsEc( eID = FindFullName( "Geometry.Arizona Eye.Lens" ) E<{R.r GetCustomElement eID, entity rKe2/4>0X q~b& parID = FindFullName( "Geometry.Arizona Eye" ) Go`vfm"S j78i#}e ' Delete any shift(s) in z VZp5)-!\ count = 0 ,uSMQS-O'4 While GetOperationCount(eID)>count tVYF{3BhA GetOperation eID, count, op e&|'I" If op.Type="ShiftZ" Then lK?uXr7^ DeleteOperation eID,count :T^a&)aL% count=count-1 !fV+z%: End If 7X`g,b! count=count+1 <,3a3 Wend 1*P~!2h /QK6Rac- 'Set new shift in %+aCJu[k(z op.Type = "ShiftZ" L4@K~8j7 op.val1 = taq bQzZy5, op.parent = parID L\6M^r
> AddOperation eID, op wjU9ZGM Print "Set aqueous humor thickness = " & taq-0.55 x77*c._3v \#8D>i?m '************************************************************************* 6+:iy'- 'Radius and conic constant of anterior lens a(m2n.0'> '************************************************************************* b<tNk]7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) N~nziY*C,* GetConic eID, entity, curv, conic paA(C|%{ wm+};L&_ SetConic eID, entity, 1/Rant, CCant k%]3vRo< Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant f$o_e90mu w49t9~ '************************************************************************* $!-yr7 'Radius and conic constant of posterior lens S^JbyD_yoh '************************************************************************* <.%4 !
}f8 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 3p$?,0ELH GetConic eID, entity, curv, conic :p1u(hflS =1@u SetConic eID, entity, 1/Rpost, CCpost ,5P0S0*{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost s-NX o M:=J^0 '************************************************************************* <X#C)-. 'Lens thickness (Position of posterior lens surface) 9sM!`Lz{ '************************************************************************* .y'>[ dUD[e,? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4V"E8rUL( lwR<(u31e ' Delete any z-shift(s) 7RQR)DG count = 0 Ky`qskvu While GetOperationCount(eID)>count ;_XFo&@ GetOperation eID, count, op 1;* cq If op.Type="ShiftZ" Then a)!o @ DeleteOperation eID,count ./XYd"p count=count-1 j\ZXG=j End If f'F?MINJP count=count+1 +Z,;,5'5G Wend pj8=wc h NYhB'C2 'Set new z-shift I<DL=V op.Type = "ShiftZ" H[T?\Lq op.val1 = tlens M.JA.I@XC op.parent = parID Q1lyj7c#x AddOperation eID, op JT~4mT Print "Set lens thickness = " & tlens .zf~.R;> TbMW|0 #w '************************************************************************* 9FF0%*tGo 'Lens index of refraction {aZ0; '************************************************************************* xKbXt;l2 eID = FindMaterial( "Lens" ) v<k?Vu GetModelMaterial eID, mat T%+#xl t <~h'U mat.Nd = nlens -$\y_?} SetModelMaterial eID, mat z xEL+ P Print "Set lens index of refraction = " & nlens pt?bWyKG 3s*mbk[J '************************************************************************* UB@Rs|) 'Pupil diameter YH$-g '************************************************************************* ]IaMp788 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =&6eM2>P $+Z[K.2J 'Adjust pupil diameter (trimming volume inner hole) @b\$ yB@z MyOd,vU SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~ZaY!(R< VCYwzB ' Adjust pupil location to just in front of the lens 4>YR{ parID = FindFullName( "Geometry.Arizona Eye" ) KA5v +~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "> ypIR< count = 0 g_E$=j92v While GetOperationCount(eID)>count %64)(z GetOperation eID, count, op TT%M'5& If op.Type="ShiftZ" Then oE@a'*.\ DeleteOperation eID,count D'>_I. count=count-1 x%=si[P End If 5"VTK count=count+1 #&+{mCjs Wend je\Ph5 " op.Type = "ShiftZ" W<{h,j8 op.val1 = taq-0.01 ]Ee?6]bN op.parent = parID m~BAyk^jo3 AddOperation eID, op Xxj-
6i z9f-.72"X Print "Set pupil diameter = " & pupilDiam E*&vy S)(.,x 'Update AZ Eye subassembly Description =}^9 wP eID = FindFullName( "Geometry.Arizona Eye" ) m[osg< CR_ GetEntity eID, entity 4(n-_BS entity.Description = "Accommodation = " & A & "D" 3ZuZ/= SetEntity eID, entity 5PCqYN(:B bG"~"ipn% Update >IafUy Print "DONE!" j a[Et/r b#c:u2 End Sub AOZP*\k PN%zIkbo 如果屈光度是4,光瞳直径是4,则会输出如下数据: OG~gFZr)6 NSMyliM1Y Accommodation = 4 Diopters YRk(u7:0 Pupil Diameter = 4 mm gk4;>} Set aqueous humor thickness = 2.81 Jumgb Set anterior lens radius = 10.4 and conic constant = -2.375869 wSL}`C gU Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,oe < Set lens thickness = 3.927 2ACCh4(/P Set lens index of refraction = 1.42672 eu|YCYj)g Set pupil diameter = 4 8$cLG*=h4 DONE! m,28u3@r 1#g2A0U, X56q-| QQ:2987619807 %Qgw7p4
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