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简介 0}dpK $. 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 LC!bIm5' ^&Y#)II 模型 ?p8_AL'RS "i W"NFO 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ,UdVNA G?Hdq; Table 1. AZ眼睛模型的定义 .y:U&Rw4 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 0h7r&t%YsV SGlNKA},A 光源 7EO_5/cY cD'V>[h 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 0>Z_*U~6 fXQNHZ|4 >`ZyG5 图1. 光源和提示信息使用 \v)+.m?n 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 e6RPIg x{WD;$J 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。 TBU&6M>{3 UByv?KZi 图2. 字母F光源的设定方法光 K0Fh%Y4)QH l0A&9g*l2 图3. 字母F在视网膜上位置点列图 \d$!a5LF} 视网膜的散射 \6*I'|5d 0b(N^$js' 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。 ,7K`[ mvT(.R ..s O/(xj2~$J 图4. 视网膜朗伯散射设定 fNZ__gO!% 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 \.#>=!Ie '$zIbQ: fMyti$1~ 图5. 视网膜重点采样规格设定 ,',o'2=! 脚本 Pw!MS5=r 1Nd2{( 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: :1KpGj*F scLll ,~ 图6. 用户对话框的创建与编辑 _MX>#!l 图7. 用户对话框编辑器 QbpFE)TYJ| 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 s(q_
o 余下的脚本计算与屈光度有关的所有参数。 t"/q]G5 3fQuoQuD"} 分析 pgZXJ .gOL1`b* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 l}sjD[2 :y jKL^G> 图7. 字母F在视网膜上颜色分析 /HRFAqep 脚本代码 _8UDT^?8, |R\>@Mg#B Option Explicit 'Remove this to enable non-dimensioned variables to be used. 2'MZ s]??w a ]tVd# Dim entity As T_ENTITY !9P';p}2 Dim op As T_OPERATION ^V Zk+'4 Dim mat As T_MODELMATERIAL GD_hhDyD Dim A As Double F,)%?<!I Dim pupilDiam As Double EV@X*| w Dim eID As Long N `F~n%N Dim parID As Long |02gup qqi Dim count As Integer GKc`xIQ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double dP]\Jo=Yh Dim tlens As Double, nlens As Double =CVB BuVy Dim curv As Double, conic As Double \%N!5>cZ{ Dim ok As Long g:Xhw$x9 t$#jL5 Sub Main R)ITy!z =`s!; '用户输入对话框 74k dsgQf Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G.d TvLv TextBox 220,21,40,21,.TextBox1 'default: 0 +8d1|cB" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 3/W'V,5G6 OKButton 40,91,90,21 Opc
ZU{4b CancelButton 190,91,90,21 0-yp,G Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 z]`k#O%%) TextBox 220,49,40,21,.TextBox2 'default: 4 g0Gf6o>2 End Dialog $#pPZ Dim dlg As UserDialog l &5QZI0I y0.8A-2: ok = Dialog (dlg) 0+ ;bh
{Eu S<@7_I If ok=0 Then 'cancel button was pressed ,a]?S^:y] Print "Execution cancelled." rb+j*5Es End v4c[(& End If n'kG] Q x&Kh>PVh\ 'Assign accommodation and pupil diameter & use defaults if field left empty w\i\Wp,FP If dlg.TextBox1 = "" Then EZ$>.iy{ A = 0 'Default accommodation (VEpVn3{ Else yS(fILV A = CDbl(dlg.TextBox1) G5aieD.# End If dS!:JO27 z Q`jP$2 If dlg.TextBox2 = "" Then @H7d_S pupilDiam = 4 'Default pupil diameter _zn.K&I-*k Else Xi,CV[L\ pupilDiam = CDbl(dlg.TextBox2) D" rK( End If S:oi<F ?+W9az]+ Print " " QoIT*! Print "Accommodation = " & A & " Diopters" 6GSI"M6s Print "Pupil Diameter = " & pupilDiam & " mm" se>8 Z4 @As[k2 ' Calculate new parameters with accommodation ^N;.cY taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness v}O30wE v|%Z+w Rant = 12.0 - 0.4*A 'Radius of anterior lens xLWwYK CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens -$jEfi4I dDGgvi|[Mz Rpost = -5.224557 + 0.2*A 'Radius of posterior lens vAh6+K.e CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens p&bROuw<T ?DQsc9y tlens = 3.767 + 0.04*A 'Lens thickness ]#l/2V1 NOiN^::m nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction wKYZa# u 7-
]
as$ 'Adjust parameters to account for accommodation `W:%mJd9 I E&!YP(U( '************************************************************************* gVv>9W(' 'Aqueous thickness (Position of Lens) )Sg~[WxDv '************************************************************************* `V]5 sE]G eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3U.88{y GetCustomElement eID, entity kabnVVn~ /VS[pXXT| parID = FindFullName( "Geometry.Arizona Eye" ) BJB^m|b) Gh}LlX!w ' Delete any shift(s) in z o(
RG-$ count = 0 O[s{ Gk'> While GetOperationCount(eID)>count
1 +qw$T GetOperation eID, count, op PMh^(j[ If op.Type="ShiftZ" Then 9XyYHi DeleteOperation eID,count %?uc><&?e count=count-1 36%nB* End If KJ=6 n%6 count=count+1 X;B\Kj`n Wend sCi s4gX.] %Bn?n{/ 'Set new shift in V_RTI.3p op.Type = "ShiftZ" #Jn_c0 op.val1 = taq *-q"3D` op.parent = parID i;jw\ed AddOperation eID, op OK6]e3UO Print "Set aqueous humor thickness = " & taq-0.55 v:o({Y 1Aq 8lb%eb]U '************************************************************************* W?aI|U1 'Radius and conic constant of anterior lens pUq1|)g '************************************************************************* 04'~ta(t eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (TwnkXrR, GetConic eID, entity, curv, conic `m?c;,\ jbu8~\" SetConic eID, entity, 1/Rant, CCant x&9hI Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,:`4% a / #PLP '*************************************************************************
HA`@7I 'Radius and conic constant of posterior lens U,gti,IX^ '************************************************************************* x2z;6) eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y"Ql!5= GetConic eID, entity, curv, conic zG9Y!SY\- 7J|VD#DE$Y SetConic eID, entity, 1/Rpost, CCpost J6%AH?Mt Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /D^"X
4!" CkD#/
'************************************************************************* s#DaKPC 'Lens thickness (Position of posterior lens surface) k.^coI5 '************************************************************************* ?jt}*q>X] gO,25::") parID = FindFullName( "Geometry.Arizona Eye.Lens" ) y^Kph# F" ;._7jFj. ' Delete any z-shift(s) WxJf{=- count = 0 X
9%'|(tL While GetOperationCount(eID)>count 80&.JP. GetOperation eID, count, op ]Xf% ,iu If op.Type="ShiftZ" Then t|<NI+H(e DeleteOperation eID,count ^#1.l=s count=count-1 &jczO-R^ End If 0=q;@OIf count=count+1 9D}/\jM Wend DUe&r,(4O Sh,&{z! 'Set new z-shift E}_[QEY;Y op.Type = "ShiftZ"
wm")[!h)v op.val1 = tlens RJH, op.parent = parID bY2 C]r(n AddOperation eID, op p!V>XY'N^ Print "Set lens thickness = " & tlens pdb1GDl0q )wtaKF.- '************************************************************************* ^*= 85iyo 'Lens index of refraction Ty@=yA17 '************************************************************************* H:JLAK eID = FindMaterial( "Lens" ) <0.$'M~E GetModelMaterial eID, mat bo=ZM9 e{9jn>\,a mat.Nd = nlens J3b4cxm SetModelMaterial eID, mat 1b>C<\ Print "Set lens index of refraction = " & nlens ph|ZG6: >Aq870n '************************************************************************* ,chf~-d 'Pupil diameter lhYn5d)DV
'************************************************************************* !epgTN eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) o{kbc5_ l\!-2 T6Y 'Adjust pupil diameter (trimming volume inner hole) M4LktR-[ +P`(Rf"luu SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" !lmWb-v%36 s;YKeE!8 ' Adjust pupil location to just in front of the lens x/MZ(A%D parID = FindFullName( "Geometry.Arizona Eye" ) ;C/bJEgdd eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PS" .R_" count = 0 ] 43bere While GetOperationCount(eID)>count "$5\, GetOperation eID, count, op JH]K/sC> If op.Type="ShiftZ" Then Lx U={Y0 DeleteOperation eID,count rspayO<]3 count=count-1 "?GebA End If OAZ#|U count=count+1 [rOaM$3| Wend 0i8hI6d op.Type = "ShiftZ" 6Bm9?eU0 op.val1 = taq-0.01 X7|.T0{=x op.parent = parID ,Ci/xnI AddOperation eID, op 1GE|Wd `wTlyS3[ Print "Set pupil diameter = " & pupilDiam V5GkP1L qkP/Nl. u 'Update AZ Eye subassembly Description dYojm1MQ eID = FindFullName( "Geometry.Arizona Eye" ) \H5Jk$* GetEntity eID, entity N 6O8Wn entity.Description = "Accommodation = " & A & "D" F X1ZG! SetEntity eID, entity } i)$n(A)K ]&i+!$N_ Update QI!i Print "DONE!" h#Ce_,o >^"BEG9i: End Sub ;ggy5?>Qu I/COqU7~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: zy N (4 lg:y|@Y'' Accommodation = 4 Diopters 3@O0^v- Pupil Diameter = 4 mm L$Z(+6m5 Set aqueous humor thickness = 2.81 OalP1Gy Set anterior lens radius = 10.4 and conic constant = -2.375869 )3muPMaY Set posterior lens radius = -4.424557 and conic constant = -3.081019 DcV<y-`'1 Set lens thickness = 3.927 c8QnN:n Set lens index of refraction = 1.42672 XqR{.jF. Set pupil diameter = 4 26:evid DONE! 2Q$\KRE 5y_" (文章来源:讯技光电)
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