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简介 ^\PRzY C@a I*+@-" 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。 -;cF)C--12 L}
R"1O 模型 4b<|jVl\ M6wH$!zRa 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 Q0xGd(\ 6%V:Z Table 1. AZ眼睛模型的定义 <y7{bk~i 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. p&I>xu8fl q{h,}[U=
光源 jm%P-C
@ #`y[75<n 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 w10~IP l2;$qNAo ^:/c<(DQD 图1. 光源和提示信息使用 Rxdj}xy 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。 FWu:5fBZY P4B|l: 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。 y],opG6 |mMsU,*gB 图2. 字母F光源的设定方法光 =mLp g4 8(`e\)%l0 图3. 字母F在视网膜上位置点列图 >r`O@`^U 视网膜的散射 ]#NfH-T UXji$|ET6 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 IhzY7U)}T e(w c
[bv +788aK,{# 图4. 视网膜朗伯散射设定 .4]XR/I$ 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。 tD`^qMua Xr^ 5Th\ }V]*FCpQ 图5. 视网膜重点采样规格设定 %3dc_YPS 脚本 rOOo42YW` 50 w$PW 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: XOX$uLm 62nmm/c 图6. 用户对话框的创建与编辑 0`zdj 图7. 用户对话框编辑器 t{UVX%b 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。 Q=!
lbW 余下的脚本计算与屈光度有关的所有参数。 sDs.da#*2 ,7:GLkj 分析 a5Vlfx r1F5'?NZ(0 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 G1it
3^*$ l`~$cK! 图7. 字母F在视网膜上颜色分析 gK~Z Ch 脚本代码 rXmrT%7k P'iX?+* Option Explicit 'Remove this to enable non-dimensioned variables to be used. mvH}G8 L+ew/I>: Dim entity As T_ENTITY j&dCP@G Dim op As T_OPERATION ,Gy,bcv{ Dim mat As T_MODELMATERIAL Fep@VkN Dim A As Double K"[jrvZ= Dim pupilDiam As Double _*=4xmB.= Dim eID As Long *0oa2fz% Dim parID As Long V|A.M-XLv4 Dim count As Integer 8Y% Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double >"UXY) Dim tlens As Double, nlens As Double X*#\JF4$i Dim curv As Double, conic As Double 5M> p%/ Dim ok As Long zEQQ4)mA auIW>0?} Sub Main _"F=4`lJ xK0;saG# '用户输入对话框 iLQO
.'{U Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ZuWhgnp TextBox 220,21,40,21,.TextBox1 'default: 0 mx1Bk9h%Xe Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 &OFVqm^ OKButton 40,91,90,21 iuqJPW^} CancelButton 190,91,90,21 c='W{47 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 JoB-&r}\V* TextBox 220,49,40,21,.TextBox2 'default: 4 B^M
L}$ End Dialog tag)IWAiE Dim dlg As UserDialog _`C|K>: CBdr1 ok = Dialog (dlg) -mO<(wfV> )s7 EhIP If ok=0 Then 'cancel button was pressed lpd~U 2& Print "Execution cancelled." ;[lLFI End 8WLh7[ End If L4+R8ojG k^JgCC+ 'Assign accommodation and pupil diameter & use defaults if field left empty `6Q+N=k~Z If dlg.TextBox1 = "" Then ku57<kb A = 0 'Default accommodation =|O]X|y-lZ Else ~K)FuL[* A = CDbl(dlg.TextBox1) 6_8y Q End If LkafB2y $0{h Uex If dlg.TextBox2 = "" Then p? +!*BZ pupilDiam = 4 'Default pupil diameter ,:
z]15fX Else J#w=Z>oz < pupilDiam = CDbl(dlg.TextBox2) u<n['Ur}| End If / E!6]b/ 7"eIZ Print " " u ?F},VL; Print "Accommodation = " & A & " Diopters" \2f?)id~ Print "Pupil Diameter = " & pupilDiam & " mm" oN83`Z [N*S5^>1 ' Calculate new parameters with accommodation .1h\r,
# taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4ke.p<dG mWoN\Rwj Rant = 12.0 - 0.4*A 'Radius of anterior lens b*Hk}
!qH CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens j$u &B+_#V=X@ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Z@JTZMN_ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 0jXDjk5'< 1)xj 'n tlens = 3.767 + 0.04*A 'Lens thickness b
V_<5PHP ok-q9dM nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction _=[pW2p 0ly6 |: 'Adjust parameters to account for accommodation 2nFr?Y3g, e=tM=i" '************************************************************************* 8;UkZN"hy5 'Aqueous thickness (Position of Lens) RY,L'GtO '************************************************************************* ncsk(`lo eID = FindFullName( "Geometry.Arizona Eye.Lens" ) sBxCi~ GetCustomElement eID, entity ][\ uH| 1 j|XC parID = FindFullName( "Geometry.Arizona Eye" ) 8M['- m KKa0" ' Delete any shift(s) in z *MWI`=c count = 0 >G0ihhVt While GetOperationCount(eID)>count xnZ GetOperation eID, count, op MA 6uJT If op.Type="ShiftZ" Then cnDBT3$~Z DeleteOperation eID,count ~a>3,v- count=count-1 fhHTp_u)2 End If mL@7,GD count=count+1 *:chN' < Wend Kna@K$6{w= &4p~i Z 'Set new shift in {X\FS op.Type = "ShiftZ"
:bP <H op.val1 = taq '
b,zE[Q op.parent = parID |L)qH"Eo AddOperation eID, op !uKuO Print "Set aqueous humor thickness = " & taq-0.55 H M\}C.u 5e'**tbKH '************************************************************************* U<yKC8 'Radius and conic constant of anterior lens ${UH!n{ '************************************************************************* %)r1?H} #% eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [!#;QQ&M GetConic eID, entity, curv, conic ;4vx+> - _ =(v? 2:? SetConic eID, entity, 1/Rant, CCant 6A} 45 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zL+M-2hV _lOyT$DN '************************************************************************* !`dn# j 'Radius and conic constant of posterior lens Eo{js?1G_ '************************************************************************* WZ@$bf}f0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )5U7w GetConic eID, entity, curv, conic {'zs4)vw p#dYNed]' SetConic eID, entity, 1/Rpost, CCpost #fF';Y7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost V#-8[G6Ra }4*~*NoQ '************************************************************************* ^+dL7g?+ 'Lens thickness (Position of posterior lens surface) )}\J '************************************************************************* 9\R+g5 f:A1j\A? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) sCAWrbOe> ?CuwA-j ' Delete any z-shift(s) z`y^o*qc] count = 0 R?kyJ4S While GetOperationCount(eID)>count ]*AQT7PH GetOperation eID, count, op L q;=UE If op.Type="ShiftZ" Then iC<qWq|S_m DeleteOperation eID,count ~w$ ^`e!] count=count-1 gs= (h* End If 2o`L^^ count=count+1 AhSN'gWpbF Wend 4"%LgV`
$C&E3 'O 'Set new z-shift h Qbz}x op.Type = "ShiftZ" ?xCWg.#l4V op.val1 = tlens <a%RKjQvT op.parent = parID NB)22 % AddOperation eID, op ]AB4w+6! Print "Set lens thickness = " & tlens P?YcZAJT* oei2$uu '************************************************************************* V0F&a~Q 'Lens index of refraction USyOHHPW@ '************************************************************************* YZ^;xV eID = FindMaterial( "Lens" ) e:RgCDWL GetModelMaterial eID, mat q{+Pf/M5 #uH%J<U mat.Nd = nlens S8)6@ECC SetModelMaterial eID, mat zM|Y
X< Print "Set lens index of refraction = " & nlens ,9~2#[|lq +T]D\];D '************************************************************************* Vqxxm&^P 'Pupil diameter ~myY-nEY '************************************************************************* 5g;i{T/6~x eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) F]KAnEf nHF%PH#|o 'Adjust pupil diameter (trimming volume inner hole) &X
OFc.u /~;om\7r SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 59M\uVWR !"QvV6Lq\ ' Adjust pupil location to just in front of the lens tx||<8 parID = FindFullName( "Geometry.Arizona Eye" ) mvt%3zCB! eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Ex}hk! count = 0 #Q61c While GetOperationCount(eID)>count F>[T)t{m= GetOperation eID, count, op AqucP@ If op.Type="ShiftZ" Then phqmr5s^H DeleteOperation eID,count ^;a~_9
m- count=count-1 @j=Q$k.GF End If FkY <I]F count=count+1 S;I}:F#5 Wend 58o'Q op.Type = "ShiftZ"
MON]rj7 op.val1 = taq-0.01 0hM!#BU5K op.parent = parID C0 %yGLh& AddOperation eID, op wj<fi m>ApN@n Print "Set pupil diameter = " & pupilDiam Iju9#b6 swLrp
74 'Update AZ Eye subassembly Description yw+LT,AQ. eID = FindFullName( "Geometry.Arizona Eye" ) q=`i GetEntity eID, entity 8t
>nL entity.Description = "Accommodation = " & A & "D" k?;B1D8-n SetEntity eID, entity B
42t Y2Y)| <FH Update ;30SnR/ Print "DONE!" aV`_@F-8 bn6WvC3? End Sub EN;s
8sC! EohvP[i 如果屈光度是4,光瞳直径是4,则会输出如下数据: Dg
o-Os@ 'Uu!K! Accommodation = 4 Diopters yU'<b.] Pupil Diameter = 4 mm _|I`A6`= Set aqueous humor thickness = 2.81 q1?}G5a? Set anterior lens radius = 10.4 and conic constant = -2.375869 &ws^Dm]R Set posterior lens radius = -4.424557 and conic constant = -3.081019 ="J *v> Set lens thickness = 3.927 D,P{ ,/ Set lens index of refraction = 1.42672 rc`}QoB)R Set pupil diameter = 4 uJ
T^=Y DONE! X)b@ia'"Wp z1S
p'h$ x
?24oO QQ:2987619807 lgQ"K(zY
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