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简介 -{A64gfFxT /!5cf;kl*l 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。 |jH Yf42Q OJydt; a 模型 t#f-3zd9 yN[i6oe 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。 wmbG$T%k JC$_Pg! Table 1. AZ眼睛模型的定义 H_8PK$c; 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 6L~5qbQ R'_F9\ 光源 LCIe1P2 UaXIrBc 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 asvM/ 9 l:~ >P[ dZkKAK:v 图1. 光源和提示信息使用 IWddJb~hu 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 66WJ=?JV _Nz?fJ:$@ 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。 tG"EbWi ER!s 图2. 字母F光源的设定方法光 ?`
ebi|6 [p0_I7 图3. 字母F在视网膜上位置点列图 ?:vB_@ 视网膜的散射 [BKTZQ@G@ s}gdi 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。 Ly`.~t(~l 2xy{g&G H%>cpwa[7 图4. 视网膜朗伯散射设定 BG-nf1K( 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。 Ql}#mC.>/ .`D$.|!8g R6GlQ G 图5. 视网膜重点采样规格设定 Ba%b]vp 脚本 W-1Ub |8C T-oUcuQB 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: p7Yb8#XfU KAT^v bR 图6. 用户对话框的创建与编辑 2mthUq9b* 图7. 用户对话框编辑器 7W/55ZTmJ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 u]3VK 余下的脚本计算与屈光度有关的所有参数。 )Y1+F,C M~saYJio 分析 w*Ze5j4@
\ eg"!.ol 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 S U P lz#@_F|.* 图7. 字母F在视网膜上颜色分析 51s 3hX$ 脚本代码 LwI 4 2 mFC9\
Option Explicit 'Remove this to enable non-dimensioned variables to be used. Pf<BQ*n OOz;/kay Dim entity As T_ENTITY ;ejtP #$ Dim op As T_OPERATION c<)O#i@3/ Dim mat As T_MODELMATERIAL 2+\@0j[q Dim A As Double \xk8+= /A Dim pupilDiam As Double =\jPnov! Dim eID As Long g3'yqIjQL Dim parID As Long w4uY/!~k Dim count As Integer _cc9+o Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double g.Kyfs4` Dim tlens As Double, nlens As Double #|cr\\2* Dim curv As Double, conic As Double N?%FVF Dim ok As Long 4':U rJ+ 1u~.^O}J Sub Main Y]}>he1/5 *ur [u*g '用户输入对话框 W^9=z~-h Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z#_VxA>]v TextBox 220,21,40,21,.TextBox1 'default: 0 R8u9tTW Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 .|J-(J<>[. OKButton 40,91,90,21 -hO[^^i9 CancelButton 190,91,90,21 <:0d%YB) Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 B}ASZYpW> TextBox 220,49,40,21,.TextBox2 'default: 4 NK(; -~{P End Dialog u*!/J R Dim dlg As UserDialog * p,2>[e +JBYGYN&K ok = Dialog (dlg) 9Or 8:Jc2K If ok=0 Then 'cancel button was pressed [JX=<a)U Print "Execution cancelled." l`<u\], End fK9wr@1
End If ( |Xc_nC vM/D7YS: 'Assign accommodation and pupil diameter & use defaults if field left empty R)5zHCwOw If dlg.TextBox1 = "" Then ~_yz\;# A = 0 'Default accommodation .:+&2#b Else IqmQQ_KH A = CDbl(dlg.TextBox1) GH6ozWA End If C'//(gjQ-G ! ^U!T\qDi If dlg.TextBox2 = "" Then bp(X\:zAy pupilDiam = 4 'Default pupil diameter 5Og=`T Else dI9u:- pupilDiam = CDbl(dlg.TextBox2) ;1woTAuD End If P<gr=& J*'#!
xIa Print " " YumHECej Print "Accommodation = " & A & " Diopters" g:>Mooxzi Print "Pupil Diameter = " & pupilDiam & " mm" N[dv
&o*f*(C2 ' Calculate new parameters with accommodation }c0EGoU}? taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >c 5V VA8 {nlqQ.jO Rant = 12.0 - 0.4*A 'Radius of anterior lens x 3?:"D2 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens D^JuL6U .6nNqGua1 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens FrBJv< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens mg7Q~SLL{ #i~2C@] tlens = 3.767 + 0.04*A 'Lens thickness SPK%
' s C'jE'B5b nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction nd1%txIsr a8!/V@a 'Adjust parameters to account for accommodation Yv [j5\:x ^qlfdf '************************************************************************* %o9;jX 'Aqueous thickness (Position of Lens) Yhkn(k2 '************************************************************************* ,k5b,}tN eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ir*T,O
2J GetCustomElement eID, entity atO/Tp }28,fb
/ parID = FindFullName( "Geometry.Arizona Eye" ) .TTXg,8#D Ohmi(s
' Delete any shift(s) in z g` QbJ61a count = 0 =W~K_jE5lo While GetOperationCount(eID)>count w$5#jJX\ GetOperation eID, count, op SecZ5(+= If op.Type="ShiftZ" Then ?u]%T]W DeleteOperation eID,count ?YO$NYwE count=count-1 D.\s mk End If X3j<HQcK count=count+1 g [~"c} Wend 3Vj,O?(Z $'2yPoR 'Set new shift in ,TAzJ op.Type = "ShiftZ" AK*F,H9 op.val1 = taq O1_dA%m
op.parent = parID i;
3^vhbQ AddOperation eID, op aN5 w Print "Set aqueous humor thickness = " & taq-0.55 5-ju5z?= $`&uu '************************************************************************* C4jqT 'Radius and conic constant of anterior lens &_EjP
hZ '************************************************************************* okO^/" eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) iYJzSVO GetConic eID, entity, curv, conic .l->O-= {)QSxO SetConic eID, entity, 1/Rant, CCant IW.~I,!x Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant aBO%qmtt ;*Cu >f7 '************************************************************************* q{W@J0U 'Radius and conic constant of posterior lens +h$)l/>: '************************************************************************* zl W5$cC[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) iS{8cN3R GetConic eID, entity, curv, conic ]~SOGAFW
5Y\wXqlY SetConic eID, entity, 1/Rpost, CCpost 9*+%Qt,{B Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost :Q\{LB c $Y!$I.+ '************************************************************************* CmNd0S4v 'Lens thickness (Position of posterior lens surface) 8yH* '************************************************************************* vElVw.
P 0!c^pOq6 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 6Y|jK<n?H .I@jt?6X ' Delete any z-shift(s) fBptjt_ count = 0 <xm>_~,w While GetOperationCount(eID)>count j z aC GetOperation eID, count, op szY=N7\S* If op.Type="ShiftZ" Then $~|#Rz%v DeleteOperation eID,count "YUyM5X count=count-1 /=zzym~<> End If 4wZ{Z
2w count=count+1 0{/P1 Wend e>Vr#a4 ==[a7|q 'Set new z-shift 2\xv Yf- op.Type = "ShiftZ" G &'eP op.val1 = tlens 5Mfs)a4j. op.parent = parID ,haCZH{ AddOperation eID, op ?G[<~J3-E Print "Set lens thickness = " & tlens rRN7HL+b K; 7o+Xr '************************************************************************* Mt@P}4 'Lens index of refraction u;xl} '************************************************************************* Kp+Lk eID = FindMaterial( "Lens" ) ?qeBgkL(B^ GetModelMaterial eID, mat kMGK8y l^s\^b=W mat.Nd = nlens ?NZKu6 SetModelMaterial eID, mat /qW5M4.w Print "Set lens index of refraction = " & nlens tdTD!' 8KioL{h '************************************************************************* %rpJZ
t 'Pupil diameter fX,L;Se" '************************************************************************* @_tQ:U,v eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #Y3:~dmJ- J`T1 88 'Adjust pupil diameter (trimming volume inner hole) ,O@xv /YbyMj* SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" qW57h8M ;- D1n ' Adjust pupil location to just in front of the lens +?[,y parID = FindFullName( "Geometry.Arizona Eye" ) uaMf3HeYV eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -_bHLoI count = 0 (vCMff/ Y1 While GetOperationCount(eID)>count c?qg
i"kS GetOperation eID, count, op v$R+5_@[l If op.Type="ShiftZ" Then D"WqJcDt DeleteOperation eID,count [E_eaez7# count=count-1 C3n_'O End If $2uZdl8Rvj count=count+1 }QszOi\fV1 Wend K-&&%Id6R op.Type = "ShiftZ" HH>"J/;c, op.val1 = taq-0.01 L lmdydC% op.parent = parID sh []OSM AddOperation eID, op vc.:du tZS-e6*S Print "Set pupil diameter = " & pupilDiam ;P9P2&c8c gC81ICM 'Update AZ Eye subassembly Description SF.4["$ eID = FindFullName( "Geometry.Arizona Eye" ) &Q>)3] |p GetEntity eID, entity X<\y%2B|l entity.Description = "Accommodation = " & A & "D" bi:m;R SetEntity eID, entity E5d?toZ,8" S^,1N4 Update R;9H`L/> Print "DONE!" ?@U7tNI xjHOrr
OQ End Sub 8r^~`rL $vNz^!zgV 如果屈光度是4,光瞳直径是4,则会输出如下数据: =VMV^[&> l0Myem
v?z Accommodation = 4 Diopters 3V]B|^S Pupil Diameter = 4 mm 49%qBO$R Set aqueous humor thickness = 2.81 >hcA:\UPk Set anterior lens radius = 10.4 and conic constant = -2.375869 GzJLG=M Set posterior lens radius = -4.424557 and conic constant = -3.081019 zGrUl|j Set lens thickness = 3.927 ze!S4&B Set lens index of refraction = 1.42672 t.sbfLu Set pupil diameter = 4 2c>e Mfa DONE! E DuLgg@
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