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简介 h 3&:"*A2 CnH
R&` 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。 qM0MSwvC= Lvq]SzOw 模型 4m*(D5Y=| )ta5y7np
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。 u-_$?'l;~ k)p y\ Table 1. AZ眼睛模型的定义 C=IH#E= 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. }gW/heUE _kHpM :;. 光源 6bcrPf} kPH^X}O$ 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。 tZ^;{sM Q/c
WV 3kCbD=yF 图1. 光源和提示信息使用 7]%il[ 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。 (NdgF+'= >!1 f` 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。 G)hH?_U#T +c a296^ 图2. 字母F光源的设定方法光 I_G>W3 NE3wui1 V 图3. 字母F在视网膜上位置点列图 prN(V1O 视网膜的散射 xbC8Amo;8" wW8
6rB 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。 CLEG'bZa, k8e"5 he &ZN'Ey? 图4. 视网膜朗伯散射设定
~8t}*oV 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。 @/~k8M/ ]B3FTqR{i AvE^
F1 图5. 视网膜重点采样规格设定 4~A#^5J 脚本 82za4u$q# N&APqT 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Czr4
-#2 u)`|q_y+8 图6. 用户对话框的创建与编辑 `u~ 图7. 用户对话框编辑器 s2?,' es 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 +){a[@S@x 余下的脚本计算与屈光度有关的所有参数。 i @9Qb V`,[=u?c 分析 v^W?o}W ] ZGvRA& 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 9/daRq$ NzAtdcwR 图7. 字母F在视网膜上颜色分析 rtL9cw5 脚本代码 Mc7 <[a *{dD'9Bg Option Explicit 'Remove this to enable non-dimensioned variables to be used. QP5:M!O<) h2|vB+W- Dim entity As T_ENTITY V,XP&,no\j Dim op As T_OPERATION 7lDaok Dim mat As T_MODELMATERIAL KPjqw{gR_R Dim A As Double e0N=2i?I#z Dim pupilDiam As Double nUud?F^_ Dim eID As Long _c9
WWp? Dim parID As Long TXD^Do5^ Dim count As Integer im\YL< Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ?X_0Iy}1 Dim tlens As Double, nlens As Double :*P___S= Dim curv As Double, conic As Double x-V' 0-#U> Dim ok As Long y>7VxX0xi NkA6Cp[Q,1 Sub Main %<=vbL9 (#-=y~% '用户输入对话框 z<[.MH`ln Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 0(9I\j5`TT TextBox 220,21,40,21,.TextBox1 'default: 0 ;%rs{XO9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 bm tJU3Rm OKButton 40,91,90,21 -wtTq
ph' CancelButton 190,91,90,21 C`)^~C_]`3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cB|Cy{% TextBox 220,49,40,21,.TextBox2 'default: 4 tLXn?aNY End Dialog t|#NMRz Dim dlg As UserDialog
il IV}8 /md Q(Dm ok = Dialog (dlg) yo?g"vbE +2V%'{: If ok=0 Then 'cancel button was pressed 1(:b{Bl Print "Execution cancelled." dWW-tHv# End 9!O+Ryy?\ End If o}mhy`} kol,Qs 'Assign accommodation and pupil diameter & use defaults if field left empty kKxL04 If dlg.TextBox1 = "" Then VRd:2uDS A = 0 'Default accommodation 0i`v:Lq% Else >uyeI&z A = CDbl(dlg.TextBox1) 5&n988gC8 End If (EOec5qXU l${Hgn+ If dlg.TextBox2 = "" Then de=5=>P7 pupilDiam = 4 'Default pupil diameter K4?t' dd] Else Imh2~rw; pupilDiam = CDbl(dlg.TextBox2) }j5R@I6P End If |i}+t I*+LJy;j Print " " H#kAm!H Print "Accommodation = " & A & " Diopters" u:AfHZ Print "Pupil Diameter = " & pupilDiam & " mm" m0%iw1OsH% [Q7->Wo|S: ' Calculate new parameters with accommodation Eo7 _v taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness VeNNsg>& %S
>xSqX Rant = 12.0 - 0.4*A 'Radius of anterior lens _:ZFCDO CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens v|4STR u
n?j Rpost = -5.224557 + 0.2*A 'Radius of posterior lens *c~'0|r CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
F1?CqN M z^ aCQ3E tlens = 3.767 + 0.04*A 'Lens thickness ~J:$gu~` -A~;MGY nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction SQdzEF wc6
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'Adjust parameters to account for accommodation 7~!I2DV_ zx\.2<K '************************************************************************* dT0^-XSY 'Aqueous thickness (Position of Lens) o ;[C(OS '************************************************************************* vCy.CN$ eID = FindFullName( "Geometry.Arizona Eye.Lens" )
nR,Qm=; GetCustomElement eID, entity wE,=%?" .KT 7le<Zm parID = FindFullName( "Geometry.Arizona Eye" ) T =eT^?v S 0R8'Y ' Delete any shift(s) in z mC*W2#1pF count = 0 %K&+~CJE While GetOperationCount(eID)>count 7.7Cluh5, GetOperation eID, count, op SE-!|WR If op.Type="ShiftZ" Then lF;ziF DeleteOperation eID,count tl{]gz count=count-1 yM (_P0 End If ;x!,g5q"q count=count+1 l1-4n*fU Wend U7nsMD ~=`f]IL 'Set new shift in T!m42EvIvE op.Type = "ShiftZ" ~I8v5 H op.val1 = taq [5]R?bQ0q{ op.parent = parID ?dp-}3/G AddOperation eID, op w$DG=! Print "Set aqueous humor thickness = " & taq-0.55 Qv&T E3 c^ixdk '************************************************************************* hrJ$%U
'Radius and conic constant of anterior lens 96.IuwL*.s '************************************************************************* _N>wzkJ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [b7it2`dl GetConic eID, entity, curv, conic #t"9TP /`7 I K SetConic eID, entity, 1/Rant, CCant T5K-gz7A Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant #@nZ4=/z L/qZ ; { '************************************************************************* RtW4n:c 'Radius and conic constant of posterior lens QT`fix{ '************************************************************************* Nbgp_:{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) H"Q(2I GetConic eID, entity, curv, conic 06PhrPVa!\ S9OxI$6Y
SetConic eID, entity, 1/Rpost, CCpost qJ\X~5{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost iP~sft6 I?f"<5[0 '************************************************************************* 1zdYBb6;j 'Lens thickness (Position of posterior lens surface) CMC?R,d '************************************************************************* tH-gaDj_ mcvDxjk,h parID = FindFullName( "Geometry.Arizona Eye.Lens" ) NY~ dM\ !Bag}|# ' Delete any z-shift(s) zSEr4^Dk4 count = 0 kFS0i%Sr While GetOperationCount(eID)>count o:Ln._bj GetOperation eID, count, op G
i$ If op.Type="ShiftZ" Then 48lzOG DeleteOperation eID,count {&u Rd?( count=count-1 0w^jls End If t@X M /=d count=count+1 iYkRo>3!QX Wend 'g. :MQ8 x*:n4FZ7b 'Set new z-shift 8&i;hZm op.Type = "ShiftZ" CKJAZ 2 op.val1 = tlens i:g{{Uuv op.parent = parID AdDQWJ^r AddOperation eID, op 6!*K/2:O Print "Set lens thickness = " & tlens #X4LLS]VV #]"/{Z '************************************************************************* #1MKEfv(~ 'Lens index of refraction A3xbT\xdg '************************************************************************* {PL,VY)Z eID = FindMaterial( "Lens" ) QyTh!QM~` GetModelMaterial eID, mat mG
X\wta C=8H)Ef,l mat.Nd = nlens O2C6V>Q; SetModelMaterial eID, mat MY&<)|v\ Print "Set lens index of refraction = " & nlens wbBE@RU>! TV?
^c?{5 '************************************************************************* OE6#YT 'Pupil diameter
1U '************************************************************************* ,Ak ^nX eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =1O?jrl~q ~Hs=z$ 'Adjust pupil diameter (trimming volume inner hole) &.hoCPo$ v<j2L"bj SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" "@(58nk O!o <P5X^ ' Adjust pupil location to just in front of the lens sb'lZFSP~s parID = FindFullName( "Geometry.Arizona Eye" ) -P2 @mx% eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^<!Ia count = 0 H%FM While GetOperationCount(eID)>count miPmpu! GetOperation eID, count, op Q<dba12 If op.Type="ShiftZ" Then FZeP<Ban DeleteOperation eID,count 9wzwY[{ count=count-1 ) 9xX End If %t q& count=count+1 /GyEV Cc Wend av)?>J~; op.Type = "ShiftZ" hUBF/4s\ op.val1 = taq-0.01 _<XgC\4O| op.parent = parID ej<`CQ AddOperation eID, op |l$
u<3
-W9gH Print "Set pupil diameter = " & pupilDiam )mj<{Td` L,6MF,vx 'Update AZ Eye subassembly Description Ny]lvgu9X eID = FindFullName( "Geometry.Arizona Eye" ) a"k'm}hVY$ GetEntity eID, entity Trpgx entity.Description = "Accommodation = " & A & "D" nVNs][ SetEntity eID, entity s~=g*99H J, r Xx: Update ]/a
g*F Print "DONE!" }H5/3be TKd6MZhT End Sub _nP)uU$ {b[tA,
> 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,^HS`!s[ E yYg Accommodation = 4 Diopters .3( ;9}; Pupil Diameter = 4 mm #.o0mguU Set aqueous humor thickness = 2.81 \d:h$ Set anterior lens radius = 10.4 and conic constant = -2.375869 x+K gc[r Set posterior lens radius = -4.424557 and conic constant = -3.081019 b22LT52 Set lens thickness = 3.927 %TDXF_.[ Set lens index of refraction = 1.42672 2?*||c==* Set pupil diameter = 4 BK*z 4m DONE! wz h.$?~ 72u db^ \<=IMa0 QQ:2987619807 U[ bgu#P;
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