-
UID:317649
-
- 注册时间2020-06-19
- 最后登录2025-12-12
- 在线时间1894小时
-
-
访问TA的空间加好友用道具
|
简介 [jx0-3s:X d=.2@Ry 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。 "+ "{+k5t `A%^UCd 模型 ~IVd vm7 {Ng oYl 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。 -!qu"A: z(RL<N% Table 1. AZ眼睛模型的定义 &Jc_Fc(M
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. hi=XYC, 4tA_YIv
光源 ^[:9fs EER`?Sa( 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。 ?q2j3e[> p(SRjQt c2l_$p 图1. 光源和提示信息使用 H2gj=krK 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。 $Byj}^ ;1 = 64r:E 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 84zTCX td2/9|Q 图2. 字母F光源的设定方法光 5vzceQE} F^aR+m 图3. 字母F在视网膜上位置点列图 I&c ~8Dw 视网膜的散射 FaTa(3$% 9D\4n 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。 }Y(]6$uS 3{%LS"c Qq-"Cg@-/ 图4. 视网膜朗伯散射设定 n]W_e 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 w^k;D,h Myat{OF f}c\_}( 图5. 视网膜重点采样规格设定 6Sj6i^" 脚本 -a Gcf]6 =]R3& ]#n 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: '&O/g<Z}q |iFVh$N 图6. 用户对话框的创建与编辑 tL
SN`6[: 图7. 用户对话框编辑器 \/7i-B]G7 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。 YKZrEP4^ 余下的脚本计算与屈光度有关的所有参数。 ivgpS5 M`Y k#TYKft 分析 *=" 8?Z }G46g#_6d> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 v<\A% ?eV(1Fr@ 图7. 字母F在视网膜上颜色分析 ^62|d 脚本代码 +Z2MIC|Ud <|O^>s; Option Explicit 'Remove this to enable non-dimensioned variables to be used. DH DZ_t: h5z)Lc^ Dim entity As T_ENTITY z7.|fE)<6 Dim op As T_OPERATION EY`H}S!xy Dim mat As T_MODELMATERIAL jg
2qGC Dim A As Double 7DW]JK l Dim pupilDiam As Double pqM~l& Dim eID As Long s}&bJ"!Z Dim parID As Long m^%|ZTrwN7 Dim count As Integer Z{IUy Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NW|f7
ItX Dim tlens As Double, nlens As Double QlFZO4 P3| Dim curv As Double, conic As Double <BWkUZz\P| Dim ok As Long rRES8/ \ A1uhHP! Sub Main Mkp/0|Q* 1RLY $M '用户输入对话框 <O?y-$~ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 FFhtj(hVgc TextBox 220,21,40,21,.TextBox1 'default: 0 ;wiao(t>4N Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1PaUI#X"2F OKButton 40,91,90,21 ^da44Qqu CancelButton 190,91,90,21 HC {XX>F^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 A|#`k{+1- TextBox 220,49,40,21,.TextBox2 'default: 4 5\mTr)\R End Dialog C;AA/4Ib Dim dlg As UserDialog X#xFFDzN c;f!!3& ok = Dialog (dlg) pi( -A 87!C@XlK_ If ok=0 Then 'cancel button was pressed js^ ,(CS Print "Execution cancelled." A% Q!^d End [@<sFP;g End If Op.8a`XLt& D\~zS`} 'Assign accommodation and pupil diameter & use defaults if field left empty 05Fz@31~ If dlg.TextBox1 = "" Then VO3pm6r5 A = 0 'Default accommodation d|9b~_::V Else JE5 A = CDbl(dlg.TextBox1) $lIWd End If H?1xjY9sl v7 If dlg.TextBox2 = "" Then I-D^>\k+ pupilDiam = 4 'Default pupil diameter zo{/'BnU Else I:&/`K4,x, pupilDiam = CDbl(dlg.TextBox2) 4nfu6Dq End If +.B<Hd u*S=[dq Print " " P`4]-5gE Print "Accommodation = " & A & " Diopters" Z#d&|5Xj Print "Pupil Diameter = " & pupilDiam & " mm" zr v] !"Yj|Nu6 ' Calculate new parameters with accommodation h!@|RW&}qX taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness mM.*b@d- <>xJn{f0c Rant = 12.0 - 0.4*A 'Radius of anterior lens j*@l"V>~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2Q7R6*<N: :%&Q-kk4! Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <oKGD50# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens #v#<itfFH {U]H;~3 ? tlens = 3.767 + 0.04*A 'Lens thickness }UJv[ qL6c`(0 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction e<7.y#L XLk<*0tp 'Adjust parameters to account for accommodation ]=rht9)," 'AGto'Yy; '************************************************************************* 1 Q;}zHd 'Aqueous thickness (Position of Lens) z't??6 '************************************************************************* 9Gy eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 4!Z5og1kn GetCustomElement eID, entity "]'?a$\ky: *,C(\!b
!? parID = FindFullName( "Geometry.Arizona Eye" ) -\ZcOXpMx= +;BAV ' Delete any shift(s) in z r0t^g9K0 count = 0 y4Z&@,_{ While GetOperationCount(eID)>count mE O\r|A GetOperation eID, count, op o56` If op.Type="ShiftZ" Then n8=5-7UT DeleteOperation eID,count TlAR.cV count=count-1 Xdi:1wW@p End If c0c|z
Ym count=count+1 d\MLOXnLq; Wend WH ?}~u9 g
6]epp[8 'Set new shift in !g~1&Uw1 op.Type = "ShiftZ" ~AYN op.val1 = taq a8u9aEB op.parent = parID :.(;<b<\ AddOperation eID, op ?1L.:CS Print "Set aqueous humor thickness = " & taq-0.55 GWsE; M)*\a/6?{ '************************************************************************* 4${jr\q] 'Radius and conic constant of anterior lens V$0dtvGvH '************************************************************************* (npj_s!.C) eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) .)1_Ew GetConic eID, entity, curv, conic tqAd$:L s?8<50s SetConic eID, entity, 1/Rant, CCant hLJM%on Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant }(a+aHH z"D.Bm~ ] '************************************************************************* 6s,uXn 'Radius and conic constant of posterior lens a{!QOX%K '************************************************************************* PFUO8>!pA\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) GdB.4s^ GetConic eID, entity, curv, conic VxP&j0M> f>BWG` SetConic eID, entity, 1/Rpost, CCpost V)Z70J<' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost EM>}0V ( mxT2"fC '************************************************************************* I%|>2}-_U 'Lens thickness (Position of posterior lens surface) mw_Ew]& '************************************************************************* Y|8vO gTRF^knrY parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Z*G(5SqUh" imQURC ' Delete any z-shift(s) (E,T#uc{ count = 0 R+gz<H.Q While GetOperationCount(eID)>count B?VhIP e GetOperation eID, count, op dEBcfya If op.Type="ShiftZ" Then oJ#,XMKga DeleteOperation eID,count |t$Ma'P count=count-1 Zmbfq8K End If .q+0pj count=count+1 CctJFcEZ Wend &A#~)i5gF /0\
mx4u 'Set new z-shift `1 :{0p2q op.Type = "ShiftZ" (EPsTox op.val1 = tlens lKk/p^: op.parent = parID ?` SUQm AddOperation eID, op `y#UJYXQE Print "Set lens thickness = " & tlens d1[ZHio2c? Bc3:}+l '************************************************************************* s3Cc;# 'Lens index of refraction UMX@7a,[3 '************************************************************************* 0M\D[mg eID = FindMaterial( "Lens" ) r1RG TEkD GetModelMaterial eID, mat !3T&4t <\?wAjc, mat.Nd = nlens G
"P4- SetModelMaterial eID, mat ybp -$e Print "Set lens index of refraction = " & nlens iQ{G(^sZN &/,|+U[ '************************************************************************* r'gOVi4t1* 'Pupil diameter Z|}G6]h '************************************************************************* `~eUee3b.~ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) |7x\m t K98i[,rP 'Adjust pupil diameter (trimming volume inner hole) I%urz!CNE* B=|cS;bM$3 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" e{Z &d
7gRgOzWfV ' Adjust pupil location to just in front of the lens 1;VHM' parID = FindFullName( "Geometry.Arizona Eye" ) $.]l!cmi%Q eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Ar~"R4! count = 0 ]l8^KX' While GetOperationCount(eID)>count -W>'^1cR GetOperation eID, count, op b86}% FM If op.Type="ShiftZ" Then F2X0%te DeleteOperation eID,count Z0l+1iMx count=count-1 ?6'rBH/w End If [=~ pe|8: count=count+1 #:SNHM^>< Wend _UuC,Pl3 op.Type = "ShiftZ" 47J5oPT2' op.val1 = taq-0.01 7`u$ op.parent = parID v0L\0&+ AddOperation eID, op 4*$G & TX ->N8#XH2= Print "Set pupil diameter = " & pupilDiam NO :a; W^"AU;^V56 'Update AZ Eye subassembly Description m8.U &0 eID = FindFullName( "Geometry.Arizona Eye" ) y+7PwBo%e GetEntity eID, entity <tioJG{OT entity.Description = "Accommodation = " & A & "D" u]OW8rc SetEntity eID, entity ~g.$|^,.O/ |fo0 Update :,)lm.}]t Print "DONE!" ({o'd=nO p)+k=b End Sub /&4U6a 0]4(:(B 如果屈光度是4,光瞳直径是4,则会输出如下数据: 0V?F'<qy vx4+QQYP Accommodation = 4 Diopters K<>sOWZ'S Pupil Diameter = 4 mm {p,]oOq\ Set aqueous humor thickness = 2.81 \QB;Ja_ Set anterior lens radius = 10.4 and conic constant = -2.375869 0iJue& Set posterior lens radius = -4.424557 and conic constant = -3.081019 33}oO,}t, Set lens thickness = 3.927 C`q@X(_ Set lens index of refraction = 1.42672 A~mum+[5 Set pupil diameter = 4 G+F:99A DONE! sq'Pyz[[
|