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简介 G^ZkY un^IQMIh 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。 1ysLZ;K ,*Z[P%<9 模型 aaugu.9 (I[h.\% 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。 /N]Ow Mr NOcx& Table 1. AZ眼睛模型的定义 q AVfbcb 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. xFm{oJ!]& ar
qLp| 光源 lZA>L,
\d ]t*P5 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。 .-u k _{`'{u
YeExjC 图1. 光源和提示信息使用 DET!br'z5 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。 h NOYFH R`C_CsXir 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。 )|h;J4V v8vh~^X%P 图2. 字母F光源的设定方法光 k *;{n8o?) B
mBzOk^ 图3. 字母F在视网膜上位置点列图 mf;^b.mKh 视网膜的散射 FSwgPIO> [OoH5dD 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。 GE~(N N So\| Ye aC8,Y$>?E` 图4. 视网膜朗伯散射设定 }M9DqZ;I 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 p]V-< enbN0 KB,~u*~! 图5. 视网膜重点采样规格设定 /Xu;/MMpd3 脚本 QVG0>,+}$ 3^A/`8R7K 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: >.O*gv/_ %I|+_ z&x 图6. 用户对话框的创建与编辑 J<($L}T*$ 图7. 用户对话框编辑器 Zn<(,e 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。 lq\' 余下的脚本计算与屈光度有关的所有参数。 ny V:F+HMBk 分析 CVGOX z (@WDvgi( 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Hc&uE3=%sL =8$0$d 图7. 字母F在视网膜上颜色分析 Ql:
b1C, 脚本代码 \o62OfF! }KD7 Y Option Explicit 'Remove this to enable non-dimensioned variables to be used. v`_i1h9p{ wHt#'`5 Dim entity As T_ENTITY 0x]OF8=J Dim op As T_OPERATION ){Ciu[h Dim mat As T_MODELMATERIAL g]==!!^<D Dim A As Double w$b+R8.n) Dim pupilDiam As Double N[a ljC-R Dim eID As Long 47C(\\ Dim parID As Long *< $c
= Dim count As Integer s}[A4`EWH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double .o\;,l2 Dim tlens As Double, nlens As Double ;*wT,2;
Dim curv As Double, conic As Double n{.*El>{ Dim ok As Long M|[@znzR< jHu,u|e0>S Sub Main yUD_w _>gXNS r4u '用户输入对话框 +(=0CA0GE Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Mz/]D J8 TextBox 220,21,40,21,.TextBox1 'default: 0 9zoT6QP4 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 wr3_Bf3] OKButton 40,91,90,21 t?]\M&i& CancelButton 190,91,90,21 F=-uDtQ<N Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Z^'?|qFj! TextBox 220,49,40,21,.TextBox2 'default: 4 5#TrCPi6A End Dialog P0'e"\$ Dim dlg As UserDialog KrdZEi vb ,Lt~u_ lve ok = Dialog (dlg) IFd )OZ5 inr%XS/m If ok=0 Then 'cancel button was pressed o~OwE7H)A Print "Execution cancelled." [):{5hMA End 6?3/Ul} End If i\kTm?BQZ &\J?[>EJ. 'Assign accommodation and pupil diameter & use defaults if field left empty T:K" If dlg.TextBox1 = "" Then S s@u,`pr A = 0 'Default accommodation %XEKhy Else @9}),hl` A = CDbl(dlg.TextBox1) "*Lj8C3|n End If *3A3>Rwu bx hP jAL If dlg.TextBox2 = "" Then )z2|"Lp pupilDiam = 4 'Default pupil diameter G$?|S@I, Else 0[n c7)sW pupilDiam = CDbl(dlg.TextBox2) D~G5]M,}$ End If Xt</ -` $$haVY& Print " " u-AWJc+F . Print "Accommodation = " & A & " Diopters" `3f_d}b Print "Pupil Diameter = " & pupilDiam & " mm" ,N;))3 5kGxhD ' Calculate new parameters with accommodation [D*J[?yt taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Vk MinE ^=eq .(> Rant = 12.0 - 0.4*A 'Radius of anterior lens Wmz q CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens q+YuVQ-fx E
S#rs=" Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ZWf-X CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens [<]Y+33 1 L+=|*: tlens = 3.767 + 0.04*A 'Lens thickness !UBy%DN~k V~/.Y&WN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction YniZ(
~^K Ze-MAt 'Adjust parameters to account for accommodation 8|1`Tn}o T?W[Z_D '************************************************************************* iLF^%!:X% 'Aqueous thickness (Position of Lens) UH5w7M '************************************************************************* ,/i_QgP eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ANckv|&'v GetCustomElement eID, entity .
_1jk J&A;#<qY parID = FindFullName( "Geometry.Arizona Eye" ) U{7 3Xax "e~k-\^Y ' Delete any shift(s) in z jr9&.8%W:v count = 0 /nc~T3j While GetOperationCount(eID)>count RS'} nY} GetOperation eID, count, op |r5e{ If op.Type="ShiftZ" Then q\a[S* DeleteOperation eID,count o:_^gJ+| count=count-1 HV ;; End If 92!JKZe
count=count+1 Q(lku"U' Wend Ee&hG[sx OQ6sv/ 'Set new shift in
\;-qdV_JB op.Type = "ShiftZ" >B0D/:R9 op.val1 = taq w|=gSC-o op.parent = parID 'g]hmE AddOperation eID, op $Z/klSEf Print "Set aqueous humor thickness = " & taq-0.55 ,*7H|de7 2-~a
P '************************************************************************* Ejq=*UOP 'Radius and conic constant of anterior lens H6_xwuw: '************************************************************************* B]1HS`*7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ^"1TPd| GetConic eID, entity, curv, conic hL0]R,t;' Mec{_jiH&D SetConic eID, entity, 1/Rant, CCant YZibi Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant M:_!w[NiLp +O'vj '************************************************************************* Qu`n& 'Radius and conic constant of posterior lens VMx%1^/( '************************************************************************* 3wZ(+<4i eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I0DM=V>; GetConic eID, entity, curv, conic r=qLaPG }'lNi^"XL SetConic eID, entity, 1/Rpost, CCpost Uan,H1a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost vXb: NgHpIonC '************************************************************************* p'&*r2_ram 'Lens thickness (Position of posterior lens surface) gv9=quG '************************************************************************* 1i
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parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z v4<b ;-Ss# & ' Delete any z-shift(s) a\pi(9R count = 0 ]M3#3Ha" While GetOperationCount(eID)>count >!}`%pk( GetOperation eID, count, op ?vu_k 'io If op.Type="ShiftZ" Then ^n9a" qz DeleteOperation eID,count M/{g(|{ count=count-1 M-Y0xWs End If x5OC;OQc count=count+1 B;!f<"a8 Wend L,~MicgV y? "@v. 'Set new z-shift [Uli>/%JB op.Type = "ShiftZ" H?uukmZl op.val1 = tlens ANMYX18M op.parent = parID 2zK"*7b? AddOperation eID, op jJ~Y]dQi Print "Set lens thickness = " & tlens 3sFeP& wVqd$nsY" '************************************************************************* Kd3QqVJBz1 'Lens index of refraction }>&KUl '************************************************************************* JDv-O&] eID = FindMaterial( "Lens" ) t\r:E2
O GetModelMaterial eID, mat .#fPw_i <C<`J{X0 mat.Nd = nlens i"HgvBHx SetModelMaterial eID, mat We}lx{E Print "Set lens index of refraction = " & nlens |)o#|Qo
Q>8pP \ho '************************************************************************* aqMc6N`z 'Pupil diameter $
[7 Vgs '************************************************************************* R#(G%66
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) @T&t.|` H{V)g 'Adjust pupil diameter (trimming volume inner hole) s&'BM~WI \k@Z7+&7 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ->E=&X 5|w&dM ' Adjust pupil location to just in front of the lens #U=;T]!'$ parID = FindFullName( "Geometry.Arizona Eye" ) j7
d:v7+_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }q!_!q,@ count = 0 0xpx(T[ While GetOperationCount(eID)>count ip``v0Nf GetOperation eID, count, op U,;xZe If op.Type="ShiftZ" Then dvjTyX DeleteOperation eID,count WM,i:P)b count=count-1 A+
0,i End If d~*TIN8Ke~ count=count+1 /smiopFcq Wend Lw*]EG|? op.Type = "ShiftZ" u+D[_yd^ op.val1 = taq-0.01 Ct]A%=cZW op.parent = parID
/\=MBUN AddOperation eID, op [VSU"AJY R Fko>d Print "Set pupil diameter = " & pupilDiam _+w/
pS`M 7Kf}O6nE 'Update AZ Eye subassembly Description cDV^8 R eID = FindFullName( "Geometry.Arizona Eye" ) :0^s0l GetEntity eID, entity 8o-bd_ entity.Description = "Accommodation = " & A & "D" O~@fXMthh SetEntity eID, entity
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~Fdx Update -<N&0F4|* Print "DONE!" o a<q / 8#LJ* o End Sub uQeu4$k! QH@>icAb 如果屈光度是4,光瞳直径是4,则会输出如下数据: $'"8QOnJ?k ~}% ~oT Accommodation = 4 Diopters 1u}nm;3 Pupil Diameter = 4 mm vtxvS3
Set aqueous humor thickness = 2.81 2KI!af[I Set anterior lens radius = 10.4 and conic constant = -2.375869 m)&znLA Set posterior lens radius = -4.424557 and conic constant = -3.081019 YaY8 `M{ Set lens thickness = 3.927 YQ(Po!NI\' Set lens index of refraction = 1.42672 +S~.c;EK Set pupil diameter = 4 IFuZ]CBz DONE! "uD=KlA 6Nh0 P $>` QQ:2987619807
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