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简介 h?ia4t 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。 no/]Me!j= Ch.T}% 模型 y\S7oD(OR XsG]-Cw 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。 H]!y |p eY(usK Table 1. AZ眼睛模型的定义
yCkm| 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. mhVoz0%1X Gz6GU.IyQy 光源 ?X9
=4Z~w %zelpBu+ 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。 ?}]kIK}MC ~o%-\^oc xBZ9|2Y s 图1. 光源和提示信息使用 $3[cBX.= 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 r2](~&i2 h#n8mtt&i 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 L$Leo6<3a 6m.Ku13; 图2. 字母F光源的设定方法光 EU@mrm? x@Y2jM 图3. 字母F在视网膜上位置点列图 *3ne(c 视网膜的散射 rgYuF,BT. O\LW
8\M 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。 p;7 4+q k41la? wr$}AX 图4. 视网膜朗伯散射设定 3N
bn|_`( 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 rqFs[1wr>R t@u\ 4bv QB.'8B_ 图5. 视网膜重点采样规格设定 8@fDn(]w 脚本 R_qo]WvR; BH-[q9pf 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: L@z !,r, 7XDV=PQ[ 图6. 用户对话框的创建与编辑 HEuM"2{DMM 图7. 用户对话框编辑器 XsOOkf\_ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 TN
%"RL 余下的脚本计算与屈光度有关的所有参数。 r$#G%FMv Z M+Hb_6f 分析 b66X])+4jE Y1 P[^ws 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 UC1!J
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^Cr+ 图7. 字母F在视网膜上颜色分析 N-rmk 脚本代码 K7hf m%`N BY0|exW Option Explicit 'Remove this to enable non-dimensioned variables to be used. Y/S3)o bJ|?5 Dim entity As T_ENTITY p0rwiBC=q Dim op As T_OPERATION Ib2 @Wi Dim mat As T_MODELMATERIAL tqQ0lv^J Dim A As Double GVEWd/:X( Dim pupilDiam As Double Idlu1g Dim eID As Long MA+-2pMc|7 Dim parID As Long \ZFQ?e,d Dim count As Integer IMGqJc,7 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double R1.sq(z` Dim tlens As Double, nlens As Double Nr"N\yOA/ Dim curv As Double, conic As Double ]|N4 #4 Dim ok As Long X[Ek'=} y"\,%. Sub Main BZ?W>'B%$ DLYZsWA, '用户输入对话框 }Hz-h4Z Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 tHtV[We.: TextBox 220,21,40,21,.TextBox1 'default: 0 #Q3PzDfj Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #tZf>zrs OKButton 40,91,90,21 e(#IewKp CancelButton 190,91,90,21 qd+[ShrhqZ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 _GO+fB/Q1 TextBox 220,49,40,21,.TextBox2 'default: 4 {1MGb%xW End Dialog zw:C*sY Dim dlg As UserDialog t;!]z-Y> P!y`$Ky& ok = Dialog (dlg) }[z<iij4 8}, <e>q If ok=0 Then 'cancel button was pressed }6J7<g Print "Execution cancelled." *e<Eu>fW#& End cH;TnuX End If 9>Uq$B ChTXvkdH 'Assign accommodation and pupil diameter & use defaults if field left empty lB!vF ~A& If dlg.TextBox1 = "" Then ]1?=jlUl A = 0 'Default accommodation Lq-33#n/ Else ^$IZLM?E~ A = CDbl(dlg.TextBox1) ahtYSz_FM End If o}=. 8rwYNb.P If dlg.TextBox2 = "" Then UQ3@@:L_ pupilDiam = 4 'Default pupil diameter `x}
Dk<HF Else N\q)LM !M pupilDiam = CDbl(dlg.TextBox2) `4%;qLxngP End If Px?Ao0)Z, 5!AV!A_Jp Print " " :Sc8PLT Print "Accommodation = " & A & " Diopters" fYhR#FVI Print "Pupil Diameter = " & pupilDiam & " mm" \V^*44+
<! \ CK(;J ' Calculate new parameters with accommodation Ud#X@xK<h taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness +~d1;0l| r!$'!lCR Rant = 12.0 - 0.4*A 'Radius of anterior lens 85D^@{ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens L}W1*L$;< ^Cg^`n?@b Rpost = -5.224557 + 0.2*A 'Radius of posterior lens B:-U`CHHQ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens \2Og>{"U uuSR%KK]| tlens = 3.767 + 0.04*A 'Lens thickness 1TNz&=e JoCA{Fa} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction .G}k/`a dC`tN5 'Adjust parameters to account for accommodation 'Y!pY]Z 7qg<[ '************************************************************************* 5Lsm_"0 'Aqueous thickness (Position of Lens) hCM8/Vvx6 '************************************************************************* dTN$y\
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) PK6*}y GetCustomElement eID, entity 0e+W/Tq H&X:!xa5 parID = FindFullName( "Geometry.Arizona Eye" ) >z=Ou<, z2w;oM$g ' Delete any shift(s) in z +z-[s6q2m count = 0 ~BZXt7DE While GetOperationCount(eID)>count ;8P_av}C GetOperation eID, count, op c>ad0xce6 If op.Type="ShiftZ" Then p jKt:R} DeleteOperation eID,count $PSY:Zz count=count-1 TDlZ!$g( End If $!G` D= count=count+1 V+lRi"m?| Wend Q,.By& '>3`rsu 'Set new shift in _Vjpw, op.Type = "ShiftZ" jfUJ37zNZr op.val1 = taq ]9jZndgC op.parent = parID &<au/^F AddOperation eID, op DVI7]+=nV Print "Set aqueous humor thickness = " & taq-0.55 ~TDzq -U) (I4y[jnD '************************************************************************* :peqr!I+K 'Radius and conic constant of anterior lens }Y Q:6I '************************************************************************* .APVjqG eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) S%kS#U${| GetConic eID, entity, curv, conic D(Qa>B"1 :pwa{P SetConic eID, entity, 1/Rant, CCant RqXi1<6j# Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !!FR[NK Qyz>ZPu}sz '************************************************************************* M% @ 'Radius and conic constant of posterior lens o{V#f_o '************************************************************************* 14H'!$ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) R"*R99 GetConic eID, entity, curv, conic -vV'Lw( `(!NYx SetConic eID, entity, 1/Rpost, CCpost GR%{T'ZD` Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost dK.R[aQ
EX:{EmaT '************************************************************************* !z MDP/V 'Lens thickness (Position of posterior lens surface) cC%j!8! '************************************************************************* [Tb\woU I!0JG`& parID = FindFullName( "Geometry.Arizona Eye.Lens" ) p1D()- ==N` !+ ' Delete any z-shift(s) D`Gt count = 0 SK+@HnKd While GetOperationCount(eID)>count @`w n<%o$ GetOperation eID, count, op qD-fw-,: If op.Type="ShiftZ" Then -es"0wS<u DeleteOperation eID,count D`VFf\7 count=count-1 j0FW8!!-g End If 'T7 x@a`b) count=count+1 >,"sHm}l% Wend ;i\C]* rJQ=9qn\ 'Set new z-shift H4:ZTl_$ op.Type = "ShiftZ" B'}"AC" op.val1 = tlens Nb;H`<JP op.parent = parID b`CWp;6Y AddOperation eID, op #~k[ 6YR 0 Print "Set lens thickness = " & tlens Uoji@
6Y1J2n" '************************************************************************* x=]S.XI 'Lens index of refraction ;W{b $k@g '************************************************************************* ewnfeg1 eID = FindMaterial( "Lens" ) d~@q%-`lA GetModelMaterial eID, mat r`6:Q&& /v#)f-N%zs mat.Nd = nlens ,Ff n)+ SetModelMaterial eID, mat Au.:OeJm Print "Set lens index of refraction = " & nlens *HE^1IEl J8<J8x4 '************************************************************************* _KN/@(+F 'Pupil diameter 3;_
n{& '************************************************************************* LA4<#KP eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ~W03{9(Vp8 rk|@B{CA; 'Adjust pupil diameter (trimming volume inner hole) NTmi 2c aV6#t*\J SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T8XY fcc*h #@qN8J}R ' Adjust pupil location to just in front of the lens pSfYu=#f parID = FindFullName( "Geometry.Arizona Eye" ) *(QH{!-$s eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) uzBz}<M= count = 0 s0C:m While GetOperationCount(eID)>count p[v#EyoC GetOperation eID, count, op WeMAe
w/d If op.Type="ShiftZ" Then 3fr ^ T DeleteOperation eID,count >w|*ei:@S count=count-1 M#,Q
^rH# End If ".U^ifF count=count+1 27D!'S Wend OH6^GPF6 op.Type = "ShiftZ" ,gx)w^WTm op.val1 = taq-0.01 PaO-J&< op.parent = parID \we\0@v AddOperation eID, op UBZ9A j9R6ta3\l Print "Set pupil diameter = " & pupilDiam $t/rOo9cV UiQEJXwnz 'Update AZ Eye subassembly Description Ug%_@t/? eID = FindFullName( "Geometry.Arizona Eye" ) PmX2[7 GetEntity eID, entity DN8}glVxV entity.Description = "Accommodation = " & A & "D" z[nS$]u SetEntity eID, entity h7yqk4'Lq b]Z@^<_E Update :c.JhE3D Print "DONE!" 06mlj6hV e8P-k3a"5: End Sub y\c"b-lQX Dg>^A 如果屈光度是4,光瞳直径是4,则会输出如下数据: .Y*f2A.v 1(#;&:$`i Accommodation = 4 Diopters aM=D84@ Pupil Diameter = 4 mm 9X}I> Set aqueous humor thickness = 2.81 jO~:<y3
= Set anterior lens radius = 10.4 and conic constant = -2.375869 1X1 NtS@ Set posterior lens radius = -4.424557 and conic constant = -3.081019 GK*v{` Set lens thickness = 3.927 ,
YW|n:X Set lens index of refraction = 1.42672 ,!#ccv+Vm% Set pupil diameter = 4 /JJw 6[N DONE! kv{}C)kt3 &^".2)zU (文章来源:讯技光电)
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