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简介 qc6d,z/ i\RB KF 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。 Nh6!h% 0EC/l
OS 模型 yeV|j\TJI. Q*/jQC 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。 T lB+
tV> Ul|htB<1: Table 1. AZ眼睛模型的定义 EsLtC5] 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. hTQ]xN) tCu9
D 光源 M|7{ZE`Y r<"k
/ 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。 .y#>mXm>
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UR[UZ4G 图1. 光源和提示信息使用 f5.Be% 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。 /? Bu^KX dewN\ 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。 s18A 4& 9V 图2. 字母F光源的设定方法光 gE6{R+sp 4n2*2
yTg 图3. 字母F在视网膜上位置点列图 8b+%:eJ 视网膜的散射 l D]?9K29 smuQ1.b 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。 w-``kID zHvW@A'F /ASpAl[J 图4. 视网膜朗伯散射设定 (}CA?/ 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。 ,v(ikPzd
49 1 1 <;NxmO<%\ 图5. 视网膜重点采样规格设定 kT&GsR/ 脚本 *BQy$dfE Q_|Lv& 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: u:\DqdlU` *GM.2``e 图6. 用户对话框的创建与编辑
C0j`H( 图7. 用户对话框编辑器 v$R7" 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。 tnw6[U!rh= 余下的脚本计算与屈光度有关的所有参数。 S!7|vb*ko r7*'s 分析 `AhTER WD#7Q&T(; 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 \xOv 9( :z+l=d:4 图7. 字母F在视网膜上颜色分析 R,W
w/D 脚本代码 rd}|^&e!Dy k)S'@>n{u Option Explicit 'Remove this to enable non-dimensioned variables to be used. h)
W|~y@ =2, iNn Dim entity As T_ENTITY lkgB,cflpi Dim op As T_OPERATION rh6m Dim mat As T_MODELMATERIAL h7>`:~ Dim A As Double l~GcD Dim pupilDiam As Double ((]Sy,rdk Dim eID As Long f.Ms3)) Dim parID As Long p}-B>v Dim count As Integer 5x'
^.$K > Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double n7'X.=o7 Dim tlens As Double, nlens As Double Bfr$&?j# Dim curv As Double, conic As Double !o8(9F Dim ok As Long >66v+ l%MIna/Tp Sub Main AJ85[~(lX %ZJ;>a# '用户输入对话框 gJuA*^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 CWM_J9f TextBox 220,21,40,21,.TextBox1 'default: 0 ]08
~"p Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |kkg1M# OKButton 40,91,90,21 xtRHb''FX CancelButton 190,91,90,21 *`bAu * Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :%"$8o*0W TextBox 220,49,40,21,.TextBox2 'default: 4 c=~FXV! End Dialog O4Hc"v Dim dlg As UserDialog "TePO7^m @#&y ok = Dialog (dlg) .06[*S :HDU\|{^ If ok=0 Then 'cancel button was pressed L2^M#G@t Print "Execution cancelled." Py-}tFr End Y'2 |GJc2 End If OqA#4h4^ p*"H&xA@ 'Assign accommodation and pupil diameter & use defaults if field left empty H6]z9 8 If dlg.TextBox1 = "" Then nn6&`$(Q~ A = 0 'Default accommodation j43-YdCJ Else eh}{\P A = CDbl(dlg.TextBox1) X2hyxTOp End If e khx?rz 0|@*`-:VO If dlg.TextBox2 = "" Then tJ!s/|u( pupilDiam = 4 'Default pupil diameter p1(<F_Kta Else e-e*% pupilDiam = CDbl(dlg.TextBox2) mA>u6Rlc End If e`Vb.E) ![4<6/2gy Print " " '"14(BvW Print "Accommodation = " & A & " Diopters" q3-V_~5^/z Print "Pupil Diameter = " & pupilDiam & " mm" W=@]YI \dw*yZ^ ' Calculate new parameters with accommodation )Y@mL/_ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness %(y0,?* mu}T,+9\ Rant = 12.0 - 0.4*A 'Radius of anterior lens ZF6?N?t}h8 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens .YcI . {P@OV1 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens SN/
e41 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens S,~DA3 [<p7'n3x tlens = 3.767 + 0.04*A 'Lens thickness *P}v82C N LU4k/ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +Pm
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rv&E2 'Adjust parameters to account for accommodation *Af:^>mh bI?YNt, '************************************************************************* WbW@V_rr 'Aqueous thickness (Position of Lens) Ot#O];3 '************************************************************************* =UW!
7OzC eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T,eP&IN GetCustomElement eID, entity Ysz&/ry DoA+Bwq@ parID = FindFullName( "Geometry.Arizona Eye" ) ,Bg)p_B |p"E0av ' Delete any shift(s) in z =Vm"2g,aA count = 0 g1s\6%g While GetOperationCount(eID)>count kt*""&R GetOperation eID, count, op 8V$ :th(' If op.Type="ShiftZ" Then >uN)O- DeleteOperation eID,count #A '|O\RGP count=count-1 u79,+H@ep End If ufekhj count=count+1 "Wz#<! .r Wend 8aHs I( ;P#c! 'Set new shift in *>a+`|[1* op.Type = "ShiftZ" k[p7)ec op.val1 = taq E8=8OX/{Y op.parent = parID dE[nPtstb AddOperation eID, op 6cV -iDOH Print "Set aqueous humor thickness = " & taq-0.55 ~Yw`w2 _z$lg]q '************************************************************************* ]
3@.) 'Radius and conic constant of anterior lens |E YJbL;1% '************************************************************************* `Y~EL? eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) lnk`D(>W GetConic eID, entity, curv, conic `N69xAiy {T0f]]}Q SetConic eID, entity, 1/Rant, CCant _*SA_.0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant [8o!X) m6
)s X& '************************************************************************* B4 cm_YGE 'Radius and conic constant of posterior lens lbCTc,xT '************************************************************************* !e}LB%zf eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ;%_fQNFb GetConic eID, entity, curv, conic \[Dxg`;4
w K_I" SetConic eID, entity, 1/Rpost, CCpost JIl<4 %A Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _djr>C=H" 4\.1phe$a '************************************************************************* eco i4f 'Lens thickness (Position of posterior lens surface) s:6pPJL '************************************************************************* Nl3@i`; ;!JI$_-\ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /=5YHq> q^e4 ' Delete any z-shift(s) &3SQVOW ~T count = 0 a19yw]hF5 While GetOperationCount(eID)>count b0A*zQA_) GetOperation eID, count, op ]5+db0 If op.Type="ShiftZ" Then J 5Nz< DeleteOperation eID,count i,{'}B count=count-1 :+9KNyA End If E0miX)AG count=count+1 3 9|4)1e Wend meHnT9a^ Jzg>Y?jN R 'Set new z-shift "gcHcboU5$ op.Type = "ShiftZ" 8JP{`) op.val1 = tlens "pDwN$c op.parent = parID B>hC8^.S|w AddOperation eID, op )}-,4Iu% Print "Set lens thickness = " & tlens h@5mVTb}i t(O{IUYM '************************************************************************* *nv%~t 'Lens index of refraction .#M' '************************************************************************* MT8BP)C eID = FindMaterial( "Lens" ) T+O Qa+E@P GetModelMaterial eID, mat BM(8+Wj ;\F3~rl mat.Nd = nlens lzQmD/i* SetModelMaterial eID, mat BI'} Print "Set lens index of refraction = " & nlens mG?g 7r`A6 \
! '************************************************************************* U;Iqz1S 'Pupil diameter +bG^SH2ke '************************************************************************* YceX) eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) g:l5,j.K }=1#ANM1 'Adjust pupil diameter (trimming volume inner hole) 2;Ij~~ Svs!C+:le SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" @WV}VKm mVg$z ' Adjust pupil location to just in front of the lens N3D{t\hg parID = FindFullName( "Geometry.Arizona Eye" ) .Ulrv5wJ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) tgy= .o] count = 0 YEL,TU While GetOperationCount(eID)>count xz-z"
8d GetOperation eID, count, op WOW:$.VO^ If op.Type="ShiftZ" Then 1Na*7| DeleteOperation eID,count VJK?"mX count=count-1 P8hA<{UFS\ End If wABaNB=9; count=count+1 C
#A sA Wend 82S?@%}#J op.Type = "ShiftZ" DrfOz#a0Uu op.val1 = taq-0.01 'y(;:Kc op.parent = parID T6gugDQ~. AddOperation eID, op Q\pTyNAYn hJrcy!P<a Print "Set pupil diameter = " & pupilDiam [^rT: %Z <Yzk]98W5. 'Update AZ Eye subassembly Description k<aKT?Ek> eID = FindFullName( "Geometry.Arizona Eye" ) ,/d
R GetEntity eID, entity lzJ[ `i. entity.Description = "Accommodation = " & A & "D" >zYO1.~ SetEntity eID, entity ]}KoW?M *Y4h26 Update ^
:%"Z& Print "DONE!" s:_M+_7_ Q_ zGs6 End Sub +(v<_#wR- vx:MLmZ. 如果屈光度是4,光瞳直径是4,则会输出如下数据: X6+2~'*t pF)}< <C Accommodation = 4 Diopters jwm2ZJW Pupil Diameter = 4 mm fs8nYgv|Q Set aqueous humor thickness = 2.81 :lF[k`S T Set anterior lens radius = 10.4 and conic constant = -2.375869 -8sm^A>C Set posterior lens radius = -4.424557 and conic constant = -3.081019 >Oary Set lens thickness = 3.927 wYZ"fusT Set lens index of refraction = 1.42672 `t0?PpUo Set pupil diameter = 4 ``%uq)G=D DONE! 64qm s0,\[rM ^%)H; QQ:2987619807 1b4aY>
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