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简介 #).$o~1ht! 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 cMw<3u\ ,QY$:f< 模型 gxv^=;2C 4<y 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。 mlnF,+s 3
jZMXEG) Table 1. AZ眼睛模型的定义 ] G&*HMtp 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. [n2B6Px utlr|m Xc 光源 wVBKVb9N EuK}L[Kl 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。 6hxZ5&;(* ;CYoc4e #De>EQ% 图1. 光源和提示信息使用 D}_.D=) 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。 `H+"7SO 2Y
vr|] \8 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。 uU H4vUa U'fP 图2. 字母F光源的设定方法光 :<QknU}dwy (Xd8'-G$m 图3. 字母F在视网膜上位置点列图 n|( lPbD 视网膜的散射 U"PcNQy -@pjEI 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。 Ipp_}tl_ BI1M(d#1L" k^J8 p#`6 图4. 视网膜朗伯散射设定 \T7Mt|f:5 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。 17LhgZs& m{\
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k ?:(y 图5. 视网膜重点采样规格设定 5'AP:3Gf" 脚本 &N~Eu-@b Ez3fL&* 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: ]I?.1X5d0 .WSyL 图6. 用户对话框的创建与编辑 HBlk~eZ 图7. 用户对话框编辑器 |cvU2JI@ 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。 W__ArV2Z_ 余下的脚本计算与屈光度有关的所有参数。 kwI``7g8*e 8Q'Emw | 分析 >Bt82ibN HI.*xkBXl& 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 u#0snw~)/ ]G/m,Zv*: 图7. 字母F在视网膜上颜色分析 acd[rjeT 脚本代码 osW"wh_ 3:J>-MO Option Explicit 'Remove this to enable non-dimensioned variables to be used. dSM\:/t W }NUU Dim entity As T_ENTITY .wfydu)3 Dim op As T_OPERATION $J[( 3 Dim mat As T_MODELMATERIAL VY?9|};f Dim A As Double u47<J?!Q Dim pupilDiam As Double 8=8hbdy; Dim eID As Long kf,
&t Dim parID As Long XiUq#84Q Dim count As Integer MpV<E0CmE Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double p.DQ|? Dim tlens As Double, nlens As Double 6Yu:v Dim curv As Double, conic As Double V6]6KP#D Dim ok As Long wlS/(:02 =pH2V^<<# Sub Main R9J!}az' }vndt*F
'用户输入对话框 -f+#j=FX Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 YT\`R TextBox 220,21,40,21,.TextBox1 'default: 0 F/5&:e?( ) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 R9XU 7_3B OKButton 40,91,90,21 .u-a+ac< CancelButton 190,91,90,21 tl#sCf!c Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 m1$tf
^ TextBox 220,49,40,21,.TextBox2 'default: 4 (s};MdXIz End Dialog 1`cH
E Aa Dim dlg As UserDialog 9*qwXU_aV `#""JTA" ok = Dialog (dlg) 9`in
r.: TnrBHaxbo4 If ok=0 Then 'cancel button was pressed 2]!@)fio` Print "Execution cancelled." D,#UJPyg End at uqo3 End If 6o't3Peh = Xgo}g1 'Assign accommodation and pupil diameter & use defaults if field left empty <BR^Dv07U If dlg.TextBox1 = "" Then 2Tp2{"sB>A A = 0 'Default accommodation |T:R.=R$~ Else Z#[?~P A = CDbl(dlg.TextBox1) JEjxY& End If $dC`keQM>9 V_7\VKR If dlg.TextBox2 = "" Then vDjH $ U pupilDiam = 4 'Default pupil diameter <WXVUEea Else U^m#!hp pupilDiam = CDbl(dlg.TextBox2) m2]N%Y End If F*72g)hVh %>Kba M1b Print " " f%G\'q]#F Print "Accommodation = " & A & " Diopters" EX,>V,.UV Print "Pupil Diameter = " & pupilDiam & " mm" q*I*B1p[m l\<.*6r ' Calculate new parameters with accommodation 7|,L{~ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness xyL"U* (7 I|lf
e Rant = 12.0 - 0.4*A 'Radius of anterior lens 1lw%RM CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Xu$>$D#a `v*HH}aDO Rpost = -5.224557 + 0.2*A 'Radius of posterior lens mjeJoMvN)H CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens YT(N][V 0|&@)` tlens = 3.767 + 0.04*A 'Lens thickness fi?4!h ,!orD1,' nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction br I;}m C`5'5/-. 'Adjust parameters to account for accommodation R%UTYRLUn J0xHpe '************************************************************************* l=?e0d>O 'Aqueous thickness (Position of Lens) +,e#uuj$p '************************************************************************* j=r1JV
@ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (W}F\P GetCustomElement eID, entity 3$?6rMl@y KC;cu%H parID = FindFullName( "Geometry.Arizona Eye" ) :ld~9 IuwE&# ' Delete any shift(s) in z 4]o+)d.`( count = 0 qTJhYxm While GetOperationCount(eID)>count -^_2{i GetOperation eID, count, op Xa`Q;J"h If op.Type="ShiftZ" Then z,,"yVk`, DeleteOperation eID,count sN41Bz$q. count=count-1 Fp\;j\pfw End If wGyVmC count=count+1 \jfK']P/H Wend ~I||"$R &'uP?r9c$ 'Set new shift in *Fy6-CC1 op.Type = "ShiftZ" mnm
ZO} op.val1 = taq VLXA6+ op.parent = parID JK$3qUDnI AddOperation eID, op 8$IKQNS Print "Set aqueous humor thickness = " & taq-0.55 L
FWp}#% :>FN|fz '************************************************************************* WvfP9(- 'Radius and conic constant of anterior lens 8~Cmn% '************************************************************************* $Q*R/MY eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) A
\/~u"Y GetConic eID, entity, curv, conic uu6 JZp }e\"VhAl/ SetConic eID, entity, 1/Rant, CCant -1Q24jrO- Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q T6y& UoxlEec '************************************************************************* [F6)Z[uG 'Radius and conic constant of posterior lens ^4`aONydl '************************************************************************* 6KddHyFz eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) D ,kxB~ GetConic eID, entity, curv, conic u
W]gBhO$O qPDNDkjDD SetConic eID, entity, 1/Rpost, CCpost {$8+n:: Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost a_b#hM/c; 6 f*:; '************************************************************************* +>PsQ^^x 'Lens thickness (Position of posterior lens surface) Yq ]sPE92 '************************************************************************* ;\K]~ t3)6R(JC parID = FindFullName( "Geometry.Arizona Eye.Lens" ) FX!KX/OE) tVG;A&\,6 ' Delete any z-shift(s) 5}%R count = 0 9&sb,^4 While GetOperationCount(eID)>count z|pt)Xl GetOperation eID, count, op xJ>5 ol If op.Type="ShiftZ" Then i:s= DeleteOperation eID,count wV )\M]@ count=count-1 Im6gWDdq@6 End If A4zI1QF count=count+1 MT!Y!*-5
Wend k[f2`o= [/a
AH<9b 'Set new z-shift y8YsS4E^Q op.Type = "ShiftZ" KElEGW op.val1 = tlens 8dR `T} op.parent = parID }+@!c%TCx~ AddOperation eID, op 8UU
L= Print "Set lens thickness = " & tlens KKC%!Xy {0,b[ '************************************************************************* 30vxOkS 'Lens index of refraction l`"?KD '************************************************************************* /?;'y,(Q eID = FindMaterial( "Lens" ) .jJD$FC GetModelMaterial eID, mat -riX=K>$ v>keZZOs mat.Nd = nlens Lg<h54X SetModelMaterial eID, mat 7(}'jZ Print "Set lens index of refraction = " & nlens -Cyo2wk 'vNju1sfk '************************************************************************* V1'otQH2l 'Pupil diameter Jg$<2CR& '************************************************************************* #LR4%}mg eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ),yar9C
{&+M.Xn 'Adjust pupil diameter (trimming volume inner hole) .2&L. XP)^81i| SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 8&U
Mmbgy ?z>J7 }w*= ' Adjust pupil location to just in front of the lens lJ;Wi parID = FindFullName( "Geometry.Arizona Eye" ) sJZ2e6?n eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *QQeK#$s count = 0 t*hy"e{*a While GetOperationCount(eID)>count =mXC,<] GetOperation eID, count, op Y\9}LgIvr If op.Type="ShiftZ" Then h^g0|p5 DeleteOperation eID,count h/ n( count=count-1 jfG of* End If JOuyEPy count=count+1 !dT+cZsf Wend Xqw}O2QQ1 op.Type = "ShiftZ" _^W;J/He op.val1 = taq-0.01 JlYZ\ op.parent = parID OjhX:{"59 AddOperation eID, op _tHhS@ >
-OOU Print "Set pupil diameter = " & pupilDiam 4Kch=jt4# <\O+
'Update AZ Eye subassembly Description >e {1e eID = FindFullName( "Geometry.Arizona Eye" ) Qa,= GetEntity eID, entity !S=YM<A d entity.Description = "Accommodation = " & A & "D" d3:GmB . SetEntity eID, entity K T0t4XPM l_}d Q&R Update R%KF/1;/ Print "DONE!" S L
5k^| Zp)=l Td End Sub s|WwBT R ABw(b 如果屈光度是4,光瞳直径是4,则会输出如下数据: <yipy[D (T*$4KGV Accommodation = 4 Diopters &:l-;7d Pupil Diameter = 4 mm Y'iI_cg Set aqueous humor thickness = 2.81 yMWh#[phH Set anterior lens radius = 10.4 and conic constant = -2.375869 2
`>a( Set posterior lens radius = -4.424557 and conic constant = -3.081019 +51heuu[o Set lens thickness = 3.927 cTGd< Set lens index of refraction = 1.42672 36{GZDGQ Set pupil diameter = 4 Wu
0:X*>}p DONE! d#E&,^@M ,jRAVt+{N (文章来源:讯技光电)
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