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简介 Jf<+VJ>t jl# )CEx 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。 B(<;] DL&\iR 模型 (+'*_
[[{y?-U 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。 XWQp-H. <mE)&7C Table 1. AZ眼睛模型的定义 $_N<! h*\ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. HtWuZq;w (h NSzG\ 光源 <a@'Pcsk vM5u]u! 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 :Gyv%>. AplXl= T\g%. 图1. 光源和提示信息使用 6PETIs 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ,(0q L&td4`2y 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 k(>hboR5n nK*$P +[R 图2. 字母F光源的设定方法光 j(Tt-a("z ZU%7m_ zO 图3. 字母F在视网膜上位置点列图 5Qb%g)jZ 视网膜的散射 4zyy I 2JE@? 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。 I4%&/~! ejYJOTT{^ \TM%,RC3K 图4. 视网膜朗伯散射设定 9OYsI 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。 T7eo_Mn #S+GI! `$|!h-" 图5. 视网膜重点采样规格设定 SooSOOAx[ 脚本 Vw7NLTE}` k8E'wN 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: (dO, +~ n,eO6X 4 图6. 用户对话框的创建与编辑 9)={p9FZY 图7. 用户对话框编辑器 't3/< h< 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 IZ /M d@C 余下的脚本计算与屈光度有关的所有参数。 "T4Z#t kJP
fL s 分析 '\ec ,&4Z L5C4#X 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 W2Y%PD9a #7OUqp 图7. 字母F在视网膜上颜色分析 o ~"?K2@T 脚本代码 J[fjl6p xmz83Ll9 Option Explicit 'Remove this to enable non-dimensioned variables to be used. Yv!%Is NNC@?A7 Dim entity As T_ENTITY mVGQyX Dim op As T_OPERATION ^`
N+mlh Dim mat As T_MODELMATERIAL n m4+$GW Dim A As Double D 6!`p6r+ Dim pupilDiam As Double [4,=%ez Dim eID As Long eaQ)r?M Dim parID As Long @$ E&H`da Dim count As Integer <_&H<]t%rI Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ajF-T=5 Dim tlens As Double, nlens As Double 3QSP](W-( Dim curv As Double, conic As Double |}paa Dim ok As Long 9W$FX 9j458Yd4* Sub Main l v]TE" X-Y:)UT '用户输入对话框 `mV&[`NZ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 R.Xh&@f` TextBox 220,21,40,21,.TextBox1 'default: 0 N(0G!sTI Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 9J%
~?k OKButton 40,91,90,21 Q:$<`K4) CancelButton 190,91,90,21 wowv>!N!X- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 #)`N TextBox 220,49,40,21,.TextBox2 'default: 4 )F;`07 End Dialog +Ze HZjd Dim dlg As UserDialog H)S&sx#q] I,
9!["^| ok = Dialog (dlg) 8"R;axeD _SM5x,Zd If ok=0 Then 'cancel button was pressed +VSJve | Print "Execution cancelled." R%iyNK, End &VtTUy} End If xwG=&+66 ]Ga }+^ 'Assign accommodation and pupil diameter & use defaults if field left empty gZ6]\l]J{ If dlg.TextBox1 = "" Then 5I9~OJ> A = 0 'Default accommodation v5U\E`)s Else +$M%"=tk A = CDbl(dlg.TextBox1) VA*~RS End If [80jG+6 \"B oTi'2! If dlg.TextBox2 = "" Then WT$m*I pupilDiam = 4 'Default pupil diameter K@lZuQ.1 Else =E@wi? pupilDiam = CDbl(dlg.TextBox2) VR/7CI4= End If lquY_lrri Oz{.>Pjn^o Print " " CYA#: Print "Accommodation = " & A & " Diopters" ;Hr
FPx&d1 Print "Pupil Diameter = " & pupilDiam & " mm" 46c7f*1l B,?Fjot#m ' Calculate new parameters with accommodation jH26-b< taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ^LgaMmz "TB4w2?= Rant = 12.0 - 0.4*A 'Radius of anterior lens "/6<k0.D& CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ?eD,\G ^b=] =w Rpost = -5.224557 + 0.2*A 'Radius of posterior lens w8E6)wF=7 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6v7H?4 ~_v?M%5i tlens = 3.767 + 0.04*A 'Lens thickness 1jU<]09. Zp~2WJQ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction tpw0j
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5zXw0_ 'Adjust parameters to account for accommodation kgfOH.P \,jrug<C$^ '************************************************************************* #|'&%n|Z 'Aqueous thickness (Position of Lens) b'Cy!d r '************************************************************************* Wlm%W>% eID = FindFullName( "Geometry.Arizona Eye.Lens" ) PGZ .\i GetCustomElement eID, entity !{5jP|vo $r%m<Uc;}O parID = FindFullName( "Geometry.Arizona Eye" ) fRKO> /OT z[:UPPbW ' Delete any shift(s) in z IgH[xwzy[ count = 0 Rt!G:hy7 While GetOperationCount(eID)>count lN94 b3_W GetOperation eID, count, op bZ c&uq_ If op.Type="ShiftZ" Then weCRhA DeleteOperation eID,count .-[uQtyWW count=count-1 nnLE dJ}n End If Hm2}xnY count=count+1 Rz%
Px: M Wend {?*3Ou oL0Q%_9hW 'Set new shift in 5Gm,lNQ Av op.Type = "ShiftZ" pjr,X+6o op.val1 = taq UEmNT9V op.parent = parID mlCw(i, AddOperation eID, op SpbOvY=> Print "Set aqueous humor thickness = " & taq-0.55 cQDn_Sjhi t6p}LNm(V '************************************************************************* U1(<1eTyu 'Radius and conic constant of anterior lens hY=#_r8 '************************************************************************* -DDH)VO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 9u<4Q_I` GetConic eID, entity, curv, conic %0 (,f OD5c,IkWB SetConic eID, entity, 1/Rant, CCant
>QRpRHtb Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :@KU_U)\ w6>'n
} '************************************************************************* \[&`PD 'Radius and conic constant of posterior lens =1g '************************************************************************* q,-bw2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) g2%&/zq/ GetConic eID, entity, curv, conic $(v1q[ig `btw*{ .[ SetConic eID, entity, 1/Rpost, CCpost 7M#2Tze} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost [G:wPp.y K~**. NF-n '************************************************************************* ?,e7v.b 'Lens thickness (Position of posterior lens surface) *IWO ,! '************************************************************************* 01Bs7@"+ }8cL+JJU parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )@)wcf!b 6LZ(bP'd; ' Delete any z-shift(s) 'J~{8w,. count = 0 \y?Vou/ While GetOperationCount(eID)>count 5|YpkY GetOperation eID, count, op Dg~r%F If op.Type="ShiftZ" Then J$6tCFD DeleteOperation eID,count g2L^cP>2 count=count-1 \/,54c2 End If FyYD7E count=count+1 QXx<Hi^ / Wend %g7 !4 G]5m@;~l5 'Set new z-shift Q#NXJvI op.Type = "ShiftZ" W6f?/{Oo8 op.val1 = tlens
x,YC/J op.parent = parID &UH .e AddOperation eID, op u
'-4hU Print "Set lens thickness = " & tlens =*0<.Lo': [ L% -lJ '************************************************************************* `Q?rQ3A} 'Lens index of refraction -U;2
b_ '************************************************************************* D?~`L[}I!} eID = FindMaterial( "Lens" ) BeZr5I"`} GetModelMaterial eID, mat <i34;`)b (Qmpz mat.Nd = nlens UD1R_bL} SetModelMaterial eID, mat
=$3]% b}
Print "Set lens index of refraction = " & nlens |x*~PXb -g8G47piX: '************************************************************************* +O
P8U]~ 'Pupil diameter b||
c^f
'************************************************************************* 'Ba Ba= eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e"HA.t[A
;w";s$ 'Adjust pupil diameter (trimming volume inner hole) [#$: X+lw F9(*MP| SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" W0%cJ8~ $ )q?z.U ' Adjust pupil location to just in front of the lens V+My]9ki parID = FindFullName( "Geometry.Arizona Eye" ) MKIX(r(| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) dH"wYMNL count = 0 mX))*e4k While GetOperationCount(eID)>count _bB:1l?V GetOperation eID, count, op qP? V{N If op.Type="ShiftZ" Then q_PxmPE@3v DeleteOperation eID,count \fG?j@Qx count=count-1 3>X]`Oj7y End If SYkLia(Ty count=count+1 tA'O66. Wend Y?G9d6]Lk6 op.Type = "ShiftZ" Y?Ph%i2E op.val1 = taq-0.01 >t_5(K4 op.parent = parID ?B>
{rj AddOperation eID, op ,r\ x=(y Print "Set pupil diameter = " & pupilDiam nojJGeW% 1fwjW0t 'Update AZ Eye subassembly Description G3O`r8oZcJ eID = FindFullName( "Geometry.Arizona Eye" ) <u>l#weG, GetEntity eID, entity e7X#C) entity.Description = "Accommodation = " & A & "D" Cx(|ZD^ SetEntity eID, entity 82ay("ZY ()K,~ Update 67Z@Hg Print "DONE!" ;"/[gFD5u 7,0^|P End Sub &&Ruy(&]I )`;Q]?D 如果屈光度是4,光瞳直径是4,则会输出如下数据: wyF'B l* C> Accommodation = 4 Diopters 0X6|pC~ Pupil Diameter = 4 mm D; xRgHn Set aqueous humor thickness = 2.81 WE;QEA / Set anterior lens radius = 10.4 and conic constant = -2.375869 xZ'-G6O
"~ Set posterior lens radius = -4.424557 and conic constant = -3.081019 G Y? ?q8 Set lens thickness = 3.927 .W4P/Pw' Set lens index of refraction = 1.42672 !EO*xxQ Set pupil diameter = 4 ?U+^ctwv7 DONE! FvX< |