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简介 2[;~@n1P
[9B1 %W 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。 &YcOmI/MM
=6+99<G|%M 模型 pp@B]We yn"4qC#Z 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--%UZD]W hu1ZckIw? Table 1. AZ眼睛模型的定义 8O$LY\G 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd.
I!Z"X& 74a@/'WbE 光源 3<xDxj0< z[ 'G"yCi 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 rlA/eQrS H
cyoNY N'-[>w7vK2 图1. 光源和提示信息使用 Fi;H 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 x$bUd 9 2P)O
0j\/ 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。 x}nBUq: TVx
`&C+ 图2. 字母F光源的设定方法光 5&h">_j (Li0*wRb 图3. 字母F在视网膜上位置点列图 [0hahR 视网膜的散射 M0~%[nX 4 ob W> 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。 =<#G~8WYz _ziSH 3( ~#jiX6<I 图4. 视网膜朗伯散射设定 cJv/)hRaz 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。 P tLWFO d6ef)mw G}^=(,jl 图5. 视网膜重点采样规格设定 <nN.$4~X 脚本 1Y J?Y @4D{lb"{ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Z/:F)c,x 9Li*L&B) 图6. 用户对话框的创建与编辑
7s#8-i 图7. 用户对话框编辑器 >X
eXd{$ 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。 -4sKB>b 余下的脚本计算与屈光度有关的所有参数。 rhy-o? LiV&47e*> 分析 _@!vF,Wcf N0-J=2 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 JO0o@M5H TH'8^w f 图7. 字母F在视网膜上颜色分析 bT&{8a 脚本代码 W dD889\ #IZh}*$ Option Explicit 'Remove this to enable non-dimensioned variables to be used. m7g*zu2# Xd5s8C/} Dim entity As T_ENTITY aEvbGo Dim op As T_OPERATION yDKH;o Dim mat As T_MODELMATERIAL r6'dEa Dim A As Double 1 =C12 Dim pupilDiam As Double NWvIwt{ Dim eID As Long !?0C(VL(: Dim parID As Long n#b{ Dim count As Integer k]5tU\;Yw Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ~{tO8
] Dim tlens As Double, nlens As Double ){w{# Dim curv As Double, conic As Double #jrlNg4( Dim ok As Long _^#eO`4" q,@#
cQBV Sub Main (0b\%;}
-43>?m/a '用户输入对话框 <
$e#o H Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ]!"w?-h Si TextBox 220,21,40,21,.TextBox1 'default: 0 ufIvvZ* Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4n6AK`E OKButton 40,91,90,21 ,++HiYOG}e CancelButton 190,91,90,21 #f24a?n| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 k}H7bZug TextBox 220,49,40,21,.TextBox2 'default: 4 zpT^:Ag End Dialog bUm%#a Dim dlg As UserDialog P>iZgv hE5?G; ok = Dialog (dlg) ]zaTX?F: Ovk=s,a)K
If ok=0 Then 'cancel button was pressed I V#8W Print "Execution cancelled." sV,Yz3E<u$ End $Y_S`#c@i End If `x/i1^/_@ p03I&d@w> 'Assign accommodation and pupil diameter & use defaults if field left empty = NZgbl If dlg.TextBox1 = "" Then V&:x+swt A = 0 'Default accommodation qS@3:R Else MWA,3I\. A = CDbl(dlg.TextBox1) %K|f,w=m End If k+-?b(z)$
M-i3_H) If dlg.TextBox2 = "" Then ajk}&`Wj" pupilDiam = 4 'Default pupil diameter AZc=Bbh Else *cXq=/s pupilDiam = CDbl(dlg.TextBox2) XdCP!iq*8 End If X/2GTU7? 5["3[h Print " " 2A~o)7JaZ Print "Accommodation = " & A & " Diopters" r/'!#7dLG- Print "Pupil Diameter = " & pupilDiam & " mm" }i"[5: gR# k' ' Calculate new parameters with accommodation 4x[_lsj taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /7#e z+Fu{<#( Rant = 12.0 - 0.4*A 'Radius of anterior lens R)JH D7
1 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Hq::F? er7(Wph Rpost = -5.224557 + 0.2*A 'Radius of posterior lens GWuKDq CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens AJEbiP O)vGIp?f't tlens = 3.767 + 0.04*A 'Lens thickness C}mhnU@ !;|#=A9 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction hxMRmH[f: mN]WjfII 'Adjust parameters to account for accommodation #W)m({} E7iAN\vo '************************************************************************* C_Q3^mLx 'Aqueous thickness (Position of Lens) CdRJ@Lf '************************************************************************* PY7H0\S) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) __9FQ{Ra GetCustomElement eID, entity x6R M)rr e`g+Jf`AT parID = FindFullName( "Geometry.Arizona Eye" ) ?j/FYi )m;*d7l~p ' Delete any shift(s) in z W..*!UGl count = 0 LEPLoF3, While GetOperationCount(eID)>count @ !su7 GetOperation eID, count, op Wjl2S+Cc If op.Type="ShiftZ" Then 9!X3Cv|+L DeleteOperation eID,count H%Gz" count=count-1 G$TO'Ciu: End If Z[*unIk count=count+1 oFP8s[B Wend *:xOenI Vu.=,G 'Set new shift in YT+b{ op.Type = "ShiftZ" */IiL%g4u op.val1 = taq XjL3Ar* op.parent = parID @!dIa1Q" AddOperation eID, op S=)
c7t?a Print "Set aqueous humor thickness = " & taq-0.55 Up?RN %gq
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MYZ '************************************************************************* [G$ #jUt/O 'Radius and conic constant of anterior lens G1jj:]1 '************************************************************************* Wx]Xa]- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) f}2}Ta GetConic eID, entity, curv, conic 2mzn{S)nV SZe55mK ` SetConic eID, entity, 1/Rant, CCant vc"!3x-G* Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant kqih`E9P7B nQOdM#dP '************************************************************************* $T3_~7N 'Radius and conic constant of posterior lens qA)YYg/G '************************************************************************* -)(=~|,Pq/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ,V!"4T,Z GetConic eID, entity, curv, conic !@Qk=Xkg y*^UGJC: SetConic eID, entity, 1/Rpost, CCpost q]OIP"yv Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost _x(hlHFk b)'CP Cu* '************************************************************************* .%n_{ab1 'Lens thickness (Position of posterior lens surface) [pTdeg;QE '************************************************************************* Hj
r'C?[ ^7+;XUyg parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,L-/7}"VHA ?&wrz ' Delete any z-shift(s) oH6zlmqG" count = 0 7mYcO3{5{ While GetOperationCount(eID)>count KJQ8Yhq GetOperation eID, count, op lFt! If op.Type="ShiftZ" Then 9#U]?^DJ@ DeleteOperation eID,count nu+K
N,3R" count=count-1 `.pEI q^ End If aXj
UDu7 count=count+1 wJ2cAX;" Wend &v .S_Ym Z(|$[GZP[ 'Set new z-shift bdstxjJ` op.Type = "ShiftZ" jw{N#QDh op.val1 = tlens QD!NV* op.parent = parID M}[Q2v\ AddOperation eID, op }nPt[77U_7 Print "Set lens thickness = " & tlens \u`P(fI!K% k@lJ8(i^qU '************************************************************************* D%o(HS\E 'Lens index of refraction -&7?!<f '************************************************************************* VI4mEq,V eID = FindMaterial( "Lens" ) UZs '[pm) GetModelMaterial eID, mat ho{%7\ 'e]>lRZ mat.Nd = nlens y%%VJ}'X! SetModelMaterial eID, mat H( .9tuA Print "Set lens index of refraction = " & nlens #3
E"Ame K!CVS7 '************************************************************************* 7I w^ 'Pupil diameter TfZ M0Wz '************************************************************************* eG(YORkR eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Sc{&h8KMTb Hb*Z_s 'Adjust pupil diameter (trimming volume inner hole) X8Z) W?vu D+uo gRS61 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" H.l0kBeG 5fk
A?Ecqq ' Adjust pupil location to just in front of the lens ! N2uJ?t parID = FindFullName( "Geometry.Arizona Eye" ) aB~k8]q. eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) s3A(`heoq count = 0 f91]0B`C While GetOperationCount(eID)>count Td|,3
n GetOperation eID, count, op V z If op.Type="ShiftZ" Then }bw^p.ci DeleteOperation eID,count =Ks&m4 count=count-1 Ux',ma1JK End If $rj:K)P count=count+1 WDxcV% Wend `m(ZX\W] op.Type = "ShiftZ" )XonFI op.val1 = taq-0.01 'Y2$9qy-L op.parent = parID c$[2tZ AddOperation eID, op ASi2;Q_{_ E7h@Y~bNhW Print "Set pupil diameter = " & pupilDiam c}OveR$'& ,?m@Ko7Y 'Update AZ Eye subassembly Description \,NT5> eID = FindFullName( "Geometry.Arizona Eye" ) BKTTta1mY GetEntity eID, entity Cw:|(`9 entity.Description = "Accommodation = " & A & "D" yx?oxDJg SetEntity eID, entity e^q^AP+* _hV34:1F Update L>/$l( Print "DONE!" C&0f8PnD ^3sv2wh^|8 End Sub y'>9'/& }!fIY7gv 如果屈光度是4,光瞳直径是4,则会输出如下数据: HHw&BN |