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简介 o6 $4/I V^;jJ'] 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Bj7gQ%>H4 %D * OO{ 模型 5h; +Ky!I 7 [0L9\xm 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ;J7F J3n 0Fu~%~#E$ Table 1. AZ眼睛模型的定义 tJN<PCG6" 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. .9.2Be
W%\C_ 光源 av~5l4YL (y^vqMz 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。 %j7XEh<' f5 `g K$d$m < 图1. 光源和提示信息使用 n0is\ZK 0 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。 'F3)9&M %iw3oh&Fkm 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。 7F'`CleU iTaWu p 图2. 字母F光源的设定方法光 =G]@+e jmeRrnC} 图3. 字母F在视网膜上位置点列图 yq$,,#XDD= 视网膜的散射 fum0>tff ?Q&yEGm( 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 7x<i :x3 P~ &$l2 Ps<d('= 图4. 视网膜朗伯散射设定 k!{p7*0 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。 k?7 X3/O +zs4a96[ ,UuH}E 图5. 视网膜重点采样规格设定 r
hfb ftw 脚本 ccL~#c0P7 ZWS`\M 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: {%C7EAq* LcE+GC 图6. 用户对话框的创建与编辑 7hcNf, 图7. 用户对话框编辑器 0P]E6hWgg 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。 PsZ
>P|e1 余下的脚本计算与屈光度有关的所有参数。 3g6j?yYqb L{c q, jk 分析 y\x+ J4\ qEO 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?C/Te) `HBf&Z 图7. 字母F在视网膜上颜色分析 xL" |)A = 脚本代码 =yy5D$\ \W`w` o Option Explicit 'Remove this to enable non-dimensioned variables to be used. b3VS\[p C/-63O_ Dim entity As T_ENTITY l\n@cQR Dim op As T_OPERATION hh[jN7K Dim mat As T_MODELMATERIAL k]I0o)+O. Dim A As Double wT{nu[=GH* Dim pupilDiam As Double 5v6Eii: Dim eID As Long y.Z?LCd< Dim parID As Long n-@j5w+k4 Dim count As Integer o-Ga3i 8 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NG6& :4! Dim tlens As Double, nlens As Double Q6r7.pk"SU Dim curv As Double, conic As Double RG4 sQ0 Dim ok As Long L~KM=[cn |.3DD"* Sub Main _x5 3g
A jfqopiSi '用户输入对话框 W='>:H Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 lMbAs.! TextBox 220,21,40,21,.TextBox1 'default: 0 f^.AD- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ::/j$bL OKButton 40,91,90,21 k Zq!& CancelButton 190,91,90,21 2TA*m{\Hr Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 /ID?DtJ TextBox 220,49,40,21,.TextBox2 'default: 4 %p0xM End Dialog v 7x:dcV Dim dlg As UserDialog x UD-iSY Vkc#7W( ok = Dialog (dlg) PKzyV ; *C:|X b<9 If ok=0 Then 'cancel button was pressed 2Roc|)-47 Print "Execution cancelled." }O4^Cc6 End TG5XSy End If .>IhN 5 aUtnR<6 'Assign accommodation and pupil diameter & use defaults if field left empty ,kn">k9 If dlg.TextBox1 = "" Then Ez-[
)44/ A = 0 'Default accommodation .uk>QMs1 Else 4tS.G A = CDbl(dlg.TextBox1) =>! Y{:
y( End If I}vmU^Y> : 7`[$<~E If dlg.TextBox2 = "" Then BV[ 5} pupilDiam = 4 'Default pupil diameter B[4KX Else =Yt
R` pupilDiam = CDbl(dlg.TextBox2) ]V#M%0:Q82 End If [n$BRk| heK7pH7;d Print " "
i|m3mcI%2 Print "Accommodation = " & A & " Diopters" iS<I0\D Print "Pupil Diameter = " & pupilDiam & " mm" 5x>}O3Q_ KPj\-g'A ' Calculate new parameters with accommodation \9g+^vQg taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness jE/AA!DC# pn5Q5xc Rant = 12.0 - 0.4*A 'Radius of anterior lens wD]/{
jw CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens i0$kit 8Bjib&im Rpost = -5.224557 + 0.2*A 'Radius of posterior lens CLJ;< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Ch3jxgQY k|H: tlens = 3.767 + 0.04*A 'Lens thickness Yn G_m] :d#VE-e nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ]f({`&K5 LMAE)]N 'Adjust parameters to account for accommodation >\Ww;1yV ikSt"}/hd '************************************************************************* ]@Uq=?% 'Aqueous thickness (Position of Lens) A'&K/) Z '************************************************************************* HEM9E&rL eID = FindFullName( "Geometry.Arizona Eye.Lens" ) aiu5}%U GetCustomElement eID, entity E`uY1B[c hK,Sf ;5V parID = FindFullName( "Geometry.Arizona Eye" ) _c_[C*T] _`:1M2= ' Delete any shift(s) in z ]h
%Wiw count = 0 P IwFF}<( While GetOperationCount(eID)>count AGYc |; GetOperation eID, count, op &H`jL4S If op.Type="ShiftZ" Then "pRtczxOgR DeleteOperation eID,count D5*q7A6 count=count-1 -3=#u_ End If c:o]d )S count=count+1 !*%WuyCgr4 Wend F6{bjv2A >)M`IU[d^. 'Set new shift in n74V|b6W op.Type = "ShiftZ" v63"^%LX op.val1 = taq Qh'ATo op.parent = parID ;k>&FWEG AddOperation eID, op m1Mt#@,$ Print "Set aqueous humor thickness = " & taq-0.55 @3C>BLI8+ wlqpn(XR '************************************************************************* GfmI<{da 'Radius and conic constant of anterior lens
7B\Vs-d '************************************************************************* .Lsavpo eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =aBctd:eX` GetConic eID, entity, curv, conic NP/Gn6fr n4R(.N00 SetConic eID, entity, 1/Rant, CCant UZJCvfi Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant &N\jG373 ~ijVmWNk '************************************************************************* Xy$3VU* 'Radius and conic constant of posterior lens li}1S '************************************************************************* )E-inHD / eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 9{5&^RbCp GetConic eID, entity, curv, conic 2;DuHO1 C8V/UbA
/ SetConic eID, entity, 1/Rpost, CCpost |6K+E6H Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @c;|G$E@3 #0P$M!% '************************************************************************* YW( Qmo7 'Lens thickness (Position of posterior lens surface) V`XNDNJ: '************************************************************************* e'~J,(fB P;qN(2L/=< parID = FindFullName( "Geometry.Arizona Eye.Lens" ) eOs)_?} lE&&_INHQ ' Delete any z-shift(s) 6sx'S?Qa* count = 0 d\R,Q While GetOperationCount(eID)>count { +
Zd*)M[ GetOperation eID, count, op S/e2P|} If op.Type="ShiftZ" Then "J[K 3 DeleteOperation eID,count j/f?"VEr count=count-1 ?&63#B,iZ End If j/_s"}m{ count=count+1 jU9$Ehg
I Wend -y8`yHb_ _lGdUt 2 'Set new z-shift VFURAYS op.Type = "ShiftZ" V9{]OV% op.val1 = tlens Kgi<UkFP op.parent = parID +#lM AddOperation eID, op $Bs {u=+w Print "Set lens thickness = " & tlens iw8yb;|z;A LSGBq '************************************************************************* ,y
2$cO_> 'Lens index of refraction i]6`LqlO '************************************************************************* P3)Nl^/ eID = FindMaterial( "Lens" ) iS
WU'K GetModelMaterial eID, mat #><.oreXq ]+XYEv mat.Nd = nlens &U5{Hm9Ynr SetModelMaterial eID, mat QgU8s'e Print "Set lens index of refraction = " & nlens %S*{9hm/ zMm#Rhn '************************************************************************* :y%/u%L 'Pupil diameter Q@<S[Qh[. '************************************************************************* @|63K)Xy eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $JJrSwR<h f78An 8 'Adjust pupil diameter (trimming volume inner hole) jr /pj? q_g+Jf
P-D SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Y2ZT.l pb
~uE ' Adjust pupil location to just in front of the lens bF"G[pD parID = FindFullName( "Geometry.Arizona Eye" ) w$z}r eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
UEM(@zD] count = 0 #LL?IRH9^ While GetOperationCount(eID)>count Mc09ES GetOperation eID, count, op %l}D. ml If op.Type="ShiftZ" Then /%}*Xh DeleteOperation eID,count JEahGzO count=count-1 b&~4t/Vq End If `\gnl' count=count+1 l_P-j96WD Wend #fM#p+v op.Type = "ShiftZ" \?0&0;5 op.val1 = taq-0.01 / ';0H_ op.parent = parID yp KUkH/ AddOperation eID, op 6y+Kjd/D 544X1Ww2 Print "Set pupil diameter = " & pupilDiam 7\$qFF-y )}D'<^=#T 'Update AZ Eye subassembly Description ysxb?6 eID = FindFullName( "Geometry.Arizona Eye" ) V5sg#|& GetEntity eID, entity %k-3?%&8 entity.Description = "Accommodation = " & A & "D" \O*-#} ~\ SetEntity eID, entity Zhh2v>QOy \r /ya<5 Update ~P8tUhffK Print "DONE!" ewa wL" Szq/hv=Q End Sub s \;" X 4wa`<H&S5 如果屈光度是4,光瞳直径是4,则会输出如下数据: yj;sSRT J&[@}$N Accommodation = 4 Diopters !MYSfPdS Pupil Diameter = 4 mm cC=[Saatsf Set aqueous humor thickness = 2.81 A+SE91m Set anterior lens radius = 10.4 and conic constant = -2.375869 'Jt]7;04p Set posterior lens radius = -4.424557 and conic constant = -3.081019 tZ=E')!\ Set lens thickness = 3.927 Gn|F`F Set lens index of refraction = 1.42672 uD1e!oU Set pupil diameter = 4 4L ;% h DONE! +Z7th7W/,
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