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简介 YgNt>4K BK]bSj 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。 //nR=Dy{ zdrCr0Rx,
模型 dq28Y$9~ 4pq@o 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 WLd{+y5# Mf
Dna>,Y Table 1. AZ眼睛模型的定义 TYGUB%A 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. xAw$bJj~s im_WTZz2P 光源 U+F?b\ Sg(fZ' - 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。 Xi^3o SH2|xn ;|6kFBGC"+ 图1. 光源和提示信息使用 NJ^`vWi 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。 1P:r=Rt/ $@"o BCc 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 97lM*7h; 9bRlSb@ 图2. 字母F光源的设定方法光 oMawINDa /_5I}{ 图3. 字母F在视网膜上位置点列图 v=zqj}T 视网膜的散射
I&?(=i)N 47.c 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ]ppi962Z D::$YR
~R _fx0-S*$ 图4. 视网膜朗伯散射设定 4NT zK 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。 w?)v#]<- o^hI\9 ^m.QW* 图5. 视网膜重点采样规格设定 4nQk*:p(X 脚本 y! he<4 ? piv]Z 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: 9ot A5I^v p\T9q 图6. 用户对话框的创建与编辑 "jqC3$DKI 图7. 用户对话框编辑器 qP{S!Z( 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ++d(}^C; 余下的脚本计算与屈光度有关的所有参数。 g+;)?N*j 7\m.xWX e 分析 /fC@T ?muI8b 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 z/6/ PPSf8-MLW 图7. 字母F在视网膜上颜色分析 J0CEZ 脚本代码 ~WXT0-, i1k(3:ay< Option Explicit 'Remove this to enable non-dimensioned variables to be used. WBD e` rq bX9M^ Dim entity As T_ENTITY vH/z|< Dim op As T_OPERATION =!u9]3) Dim mat As T_MODELMATERIAL Y^80@MJ Dim A As Double }#}IR5`=E Dim pupilDiam As Double SQ!wq Dim eID As Long [ fvip_Pt Dim parID As Long VP[-BK[ Dim count As Integer ,_;+H*H>" Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 'zCJK~x`x Dim tlens As Double, nlens As Double vH/<!jtI Dim curv As Double, conic As Double H }w"4s Dim ok As Long Ylbh_ d~BU V\Oe ]w Sub Main gM_z`H5[! Ah:! '用户输入对话框 7|4hs:4mD Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 c@9jc^CJ TextBox 220,21,40,21,.TextBox1 'default: 0 V
;Kzh$^rk Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 vJ5` :4n" OKButton 40,91,90,21 7L~LpB CancelButton 190,91,90,21 <Wc98m Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N!Dc\d=8q] TextBox 220,49,40,21,.TextBox2 'default: 4 >;V ?s] End Dialog E*V UP5E Dim dlg As UserDialog ~XAtt\WS
]"bkB+I ok = Dialog (dlg) 9Fb|B }YUUCq& If ok=0 Then 'cancel button was pressed Zwy8SD'L Print "Execution cancelled." [P,YW|:n End Hik8u!#P End If n+Ofbiz@ %-ih$ZY 'Assign accommodation and pupil diameter & use defaults if field left empty F02S(WWo; If dlg.TextBox1 = "" Then <SM{yMz A = 0 'Default accommodation <L|eY(: Else `H+~LVH A = CDbl(dlg.TextBox1) Ar&]/X,WG End If #hL<9j Uw R,U#d If dlg.TextBox2 = "" Then 2>~{.4PI pupilDiam = 4 'Default pupil diameter 86Q\G.h7 Else }G^Bc4@b pupilDiam = CDbl(dlg.TextBox2) \2cbZQx End If !wH7;tU 2 mM0\ja Print " " 9>~UqP9 Print "Accommodation = " & A & " Diopters" 48X;'b,h Print "Pupil Diameter = " & pupilDiam & " mm" ;0*T7l s+Qm/ h2 ' Calculate new parameters with accommodation lK;/97Ze taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {SH+lX0]{ 8joJe>9VJ Rant = 12.0 - 0.4*A 'Radius of anterior lens jR~2mf!h*e CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Gy{C*m7Q d{_tOj$ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0l#{7^e CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 5G.A\`u% ,EPs>#d tlens = 3.767 + 0.04*A 'Lens thickness -:9E+b z_fR?~$N2 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction l!Q |]-.@ #fg RF 'Adjust parameters to account for accommodation ow :}NI \ZdV|23 '************************************************************************* 6itp
Mck 'Aqueous thickness (Position of Lens) bni :B?# '************************************************************************* (QQ /I; eID = FindFullName( "Geometry.Arizona Eye.Lens" ) C~o6]'+F_ GetCustomElement eID, entity g Z3VT{ vn;_|NeSf parID = FindFullName( "Geometry.Arizona Eye" ) mo%9UL,#W .<JD'%?" ' Delete any shift(s) in z "B`yk/GM] count = 0 y7M" Dr%t^ While GetOperationCount(eID)>count e-<fkU9^W GetOperation eID, count, op YpQ/ )fSEV If op.Type="ShiftZ" Then =x
"N0p DeleteOperation eID,count [uOW\)` count=count-1 [~$Ji&Dd End If Ko% &~C_ count=count+1 (:3rANY| Wend S9X~<!] k#k !AcC 'Set new shift in F?2(U\k# op.Type = "ShiftZ" *au&ODa op.val1 = taq }vBk,ED op.parent = parID Zab5"JR AddOperation eID, op \~ O6S`, Print "Set aqueous humor thickness = " & taq-0.55 cWIX!tc8 pE >~F '************************************************************************* -05zcIVo 'Radius and conic constant of anterior lens |YjuaXd7N '************************************************************************* YIs (Q
eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) rC~hjViG. GetConic eID, entity, curv, conic rlu{C4l Qz&I~7aoyV SetConic eID, entity, 1/Rant, CCant A
S;ra,x Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ji{V# bG
nBV7b '************************************************************************* :,<e 'Radius and conic constant of posterior lens \2i4]V '************************************************************************* m;o \.s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) *g&[?y`UC GetConic eID, entity, curv, conic MO)N0{.b Er}
xB~<t SetConic eID, entity, 1/Rpost, CCpost " ^~f.N Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost CD1}.h (_-<3)q4 '************************************************************************* w C]yE\P1 'Lens thickness (Position of posterior lens surface) %tM]|!yw '************************************************************************* }_}C ^ M9*7r\hqYV parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pc}Q_~e e$QX?y . ' Delete any z-shift(s) X
tZ0z? count = 0 Bn*D<<{T While GetOperationCount(eID)>count 5T}$+R0& GetOperation eID, count, op W|~Lmdzj If op.Type="ShiftZ" Then Q/4g)( ~J DeleteOperation eID,count AR'q2/cw count=count-1 I"*g-ji0 End If ~d_Z?Z count=count+1 uy{mSx?td Wend %*]3j^b Q+ 2;.7c+r0 'Set new z-shift =3lUr<Ze op.Type = "ShiftZ" O-:#Q(H! op.val1 = tlens [(}f3W & op.parent = parID '#[U7(lIQ AddOperation eID, op ^dH#n~Wx0 Print "Set lens thickness = " & tlens Y[Us"K` <QTu"i '************************************************************************* rP,i,1Ar 4 'Lens index of refraction qQ%zSJ? '************************************************************************* punc'~ eID = FindMaterial( "Lens" ) AS`0.RC- GetModelMaterial eID, mat GEfX,9LF & /lDW5;d mat.Nd = nlens RvV4SlZz SetModelMaterial eID, mat =K{$?%"
Print "Set lens index of refraction = " & nlens y.5mYQA4=[ K,%H*1YKK '************************************************************************* (:].?o 'Pupil diameter vG#|CO9 '************************************************************************* wlBdA eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 2fTkHBhn& ~ C6<75 'Adjust pupil diameter (trimming volume inner hole) G+AD
&EHV c3&F\3 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ja70w:ja d|]F^DDuI ' Adjust pupil location to just in front of the lens r Y|'<$wvg parID = FindFullName( "Geometry.Arizona Eye" ) #*#4vMk< eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 8dq{.B? count = 0 D|9C|q While GetOperationCount(eID)>count o %A4wEye GetOperation eID, count, op %l[Cm4 If op.Type="ShiftZ" Then :1eI"])( DeleteOperation eID,count `rW{zQYM count=count-1 P1=bbMk End If 3lhXD_Y count=count+1 i;*c|ma1> Wend $&nF1HBI4 |