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2016-02-24 12:53 |
FRED运用:Arizona眼睛模型
简介 %t{Sb4XZ4k 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。 a+'}XEhSC: Z?C4a} 模型 } bCK V0S6M^\DK 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。 'tut4SwC mCK],TOA:
Table 1. AZ眼睛模型的定义 [attachment=67931] 'DeW<Sa~ 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. ]'6'<S qkiJH T 光源 OMi02tSm +`9yZOaC# 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。 5U3qr*/ ;m e$H|MdYIA Mc!2mE%47m
[attachment=67932] 图1. 光源和提示信息使用 {dZ!I 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。 )G^p1o;\ 5d%_Wb' 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。 |1lf(\T_ {uEu>D$8
[attachment=67933] 图2. 字母F光源的设定方法光 I7A7X* ypgliq(
[attachment=67934] 图3. 字母F在视网膜上位置点列图 O(WEgz 视网膜的散射 L,E-z_<p Z(l9>A7! 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 \b\: ^dheJ]n=k $ 9S>I'
[attachment=67935] 图4. 视网膜朗伯散射设定 yB
1I53E 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。 CQj/e+eE4 qK{|Q t) ;
[attachment=67936] 图5. 视网膜重点采样规格设定 dko [ 脚本 Z@<q/2).| FP.(E9 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: X@i+&Nv"< czXI?]gg,
[attachment=67937] 图6. 用户对话框的创建与编辑 t^`<*H
[attachment=67938] 图7. 用户对话框编辑器 qPp1:a" 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。 jK&
Nkp 余下的脚本计算与屈光度有关的所有参数。 ^nG1/} (3)C_Z 分析 (k7; }~7H2d);- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 $I?=.:<+ pP?<[ql[w
[attachment=67939] 图7. 字母F在视网膜上颜色分析 v]LFZI5 脚本代码 U'JP1\ {LR#(q$1 Option Explicit 'Remove this to enable non-dimensioned variables to be used. Hj}g1"RA ?AqrlR]5 Dim entity As T_ENTITY T=hm#] Dim op As T_OPERATION f 3nnXE" Dim mat As T_MODELMATERIAL J>,'P^ Dim A As Double gJWlWVeq$ Dim pupilDiam As Double mafAC73 Dim eID As Long BDv|~NHs Dim parID As Long 8eg2o$k_,# Dim count As Integer n?TO!5RZK Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $i1>?pb3 Dim tlens As Double, nlens As Double ,*9#c*'S Dim curv As Double, conic As Double Yke<Wy1 Dim ok As Long e#76h; |THkS@Br Sub Main R 47I\{ -y7l?N5F> '用户输入对话框 $g}/T_26 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +oxqS&$L TextBox 220,21,40,21,.TextBox1 'default: 0 'ugR!o1 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 brpN>\ OKButton 40,91,90,21 "GIg|3 CancelButton 190,91,90,21 s5_1}KKCs Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 *YiD B?Si TextBox 220,49,40,21,.TextBox2 'default: 4 J.CZR[XF# End Dialog OI;L9\MJc Dim dlg As UserDialog _BeX7 ynOc~TN ok = Dialog (dlg) W2X+NacD X:zyzEhS If ok=0 Then 'cancel button was pressed y$;zTH_6j Print "Execution cancelled."
YV2pERl End IArpCF/"8 End If \k$]GK- ]9~#;M%1 'Assign accommodation and pupil diameter & use defaults if field left empty !T&u2=`D If dlg.TextBox1 = "" Then )nbyV a A = 0 'Default accommodation MO(5-R` Else 6i?kkULBS A = CDbl(dlg.TextBox1) ] BP^.N= End If 4F 6ju6w .[eSKtbc) If dlg.TextBox2 = "" Then ej??j<] pupilDiam = 4 'Default pupil diameter U8.0 L Else lzQ&)7` pupilDiam = CDbl(dlg.TextBox2) @N:3`[oB End If QKL]O* <T=o]M$ Print " " nu1w: Print "Accommodation = " & A & " Diopters" |~T+f& Print "Pupil Diameter = " & pupilDiam & " mm" (t]R#2{ +MZ2e^\F ' Calculate new parameters with accommodation z;@S_0M,Z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness H]]>sE O.m.]%URW Rant = 12.0 - 0.4*A 'Radius of anterior lens [;kj,j CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens k?@W/}Iv9 5"Xo R) Rpost = -5.224557 + 0.2*A 'Radius of posterior lens $(<*pU CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 6`{)p&9 n$\6}\k tlens = 3.767 + 0.04*A 'Lens thickness v*T@<]f3j *TMM:w|1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction qgY(S}V |Y,X=Ed 'Adjust parameters to account for accommodation a6K$omu r%?}5"* '************************************************************************* O'?lW~CD.> 'Aqueous thickness (Position of Lens) vA $BBXX '************************************************************************* 8i+jFSZ$ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l.t. ,: GetCustomElement eID, entity ?)ZLxLV:: rBL_]\$7} parID = FindFullName( "Geometry.Arizona Eye" ) 7[ VCCI
g MJk:s[o ' Delete any shift(s) in z ?(XX count = 0 lVKF^-i While GetOperationCount(eID)>count [E&"9%K GetOperation eID, count, op d`rDEa If op.Type="ShiftZ" Then vN[m5)aT DeleteOperation eID,count uc
`rt" count=count-1 r'}k`A5> End If Szob_IEq, count=count+1 jq]\oY8y Wend "q#g/T gcY~_'&u 'Set new shift in pRfHbPV? op.Type = "ShiftZ" dYttse' op.val1 = taq <
oG\)!O op.parent = parID v,O&UrZ AddOperation eID, op PfMOc+ q Print "Set aqueous humor thickness = " & taq-0.55 [@71 2LK*Cv[ '************************************************************************* {Eb2<;1o{ 'Radius and conic constant of anterior lens ny;)+v?mN\ '************************************************************************* SF}L3/C&h eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [ZpG+VAJ8 GetConic eID, entity, curv, conic t`/RcAwA w[7HY@[ SetConic eID, entity, 1/Rant, CCant "gVH;<&] Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Pxuz { oz7udY=]0 '************************************************************************* nT6iS}h 'Radius and conic constant of posterior lens "Kf~`0P '************************************************************************* xn#I7]]G eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) t7&
GCZ GetConic eID, entity, curv, conic MhXm-<4
<UHf7:0V SetConic eID, entity, 1/Rpost, CCpost o]k]pNO Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ~V)VGGOL$v K>E!W!-PJ '************************************************************************* ,}$x'8v 'Lens thickness (Position of posterior lens surface) jF2GHyB '************************************************************************* !)1Zp* )qQg n] parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h.0&)t\q" dtXJ<1: ' Delete any z-shift(s) <i@jD count = 0 <\Dl#DH While GetOperationCount(eID)>count k.VOS0 GetOperation eID, count, op o".O#^3H% If op.Type="ShiftZ" Then rY+1s^F DeleteOperation eID,count T_
#oMXZ/ count=count-1 iK23`@&%_ End If JN|# count=count+1 Tp.iRFFkP Wend Z#t.wWSq =Qq^=3@h 'Set new z-shift 00
,jneF op.Type = "ShiftZ" @Pg@ltUd op.val1 = tlens 23?0'AU op.parent = parID ?d'9TOlD AddOperation eID, op :9< r(22 Print "Set lens thickness = " & tlens L{ ^@O0S "+C\f) '************************************************************************* M/I d\~ 'Lens index of refraction \r&@3a.> '************************************************************************* !!pi\J?sk eID = FindMaterial( "Lens" ) / =<ul-K GetModelMaterial eID, mat +=xRr?F DccsVR`7 mat.Nd = nlens Q(Y,p`> SetModelMaterial eID, mat z-E4-\a
Print "Set lens index of refraction = " & nlens u $^`hzfI h2*&>Mc '************************************************************************* u 9TlXn 'Pupil diameter `)P_X4e]` '************************************************************************* ml/O eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) xL"o)]a= *XR~fs?/*W 'Adjust pupil diameter (trimming volume inner hole) RlL,eU$CS !~kzxY SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" a-hGpYJJG -L3RzX ' Adjust pupil location to just in front of the lens CplRnKra parID = FindFullName( "Geometry.Arizona Eye" ) |ZzBCL8q eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 2$UR"P count = 0 _ h-X-s Y While GetOperationCount(eID)>count >C66X?0cd GetOperation eID, count, op (ytkq( If op.Type="ShiftZ" Then .k(_j.v DeleteOperation eID,count Ku'U^=bVm: count=count-1 2geC3v% 0o End If qa?y lR"kA count=count+1 QyQ8M1m Wend oa7Hx<Y op.Type = "ShiftZ" Mb!^_cS( op.val1 = taq-0.01 % j; cXN op.parent = parID SW,Po>Y AddOperation eID, op 5Yr$dNe PTqS L] Print "Set pupil diameter = " & pupilDiam 1i2w<VG1 (iP,YKG1? 'Update AZ Eye subassembly Description n-Y'LK40Os eID = FindFullName( "Geometry.Arizona Eye" ) x=)$sD-3 GetEntity eID, entity \]El%j4 entity.Description = "Accommodation = " & A & "D" RkM! BcB SetEntity eID, entity bc-)y3gHU |SleSgS<# Update n5/Q)*e0'# Print "DONE!" l"8YI sir P!EX;+7+x End Sub sxtGl^,mU: Tkf !Y? 如果屈光度是4,光瞳直径是4,则会输出如下数据: U4JN,`p{ ?YO%]mTP Accommodation = 4 Diopters }XU- JAn Pupil Diameter = 4 mm PMcyQ2R-> Set aqueous humor thickness = 2.81 5c8x:
e@ Set anterior lens radius = 10.4 and conic constant = -2.375869 l<?wB|1' Set posterior lens radius = -4.424557 and conic constant = -3.081019 tAUMSr|? Set lens thickness = 3.927 KMcP !N.I Set lens index of refraction = 1.42672 8b!_b2Za Set pupil diameter = 4 W{d/m;<@N DONE! ;*p}~#2 u!W00;`L
(文章来源:讯技光电)
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