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简介 265df
Y9Pu ;R|5sCb/m 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。 'TezUBRAz *7DQ#bD 模型 ;/
WtO2 ob-z-iDz 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。 :/d#U:I 6YYZ S2 Table 1. AZ眼睛模型的定义 ^%*%=LJm 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. 9boNB"h]T k q_B5L ? 光源 53@*GXzE rS8/_' 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。 m03;'Nj'7# RE7 I" M|7xI 图1. 光源和提示信息使用 M)(
5S1ndq 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。 ->$Do$ c9r, <TR9 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。 0P&rTtU6 1i^!A& 图2. 字母F光源的设定方法光 l]^uVOX >o%.`)Ar 图3. 字母F在视网膜上位置点列图 dI{)^ 视网膜的散射 $x#Y\dpS Q4}2-}| 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 @e3O=_m- iO>2#p8$NR )lBke*j~ 图4. 视网膜朗伯散射设定 ~UEft 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。 DF P0WXbOE M&:[3u- ggXg4~WL 图5. 视网膜重点采样规格设定 %9uLxC; 脚本 %N=-i]+Id MCjf$pZN] 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~UqA1r \l"1Io= 图6. 用户对话框的创建与编辑 o{37}if 图7. 用户对话框编辑器 h/mmV:v 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。 w0q.cj@nd 余下的脚本计算与屈光度有关的所有参数。 "+~La{POc Xg_M{t 分析 N/4`afiV. S[n;u-U 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~jQ|X?tR OB.TAoH: 图7. 字母F在视网膜上颜色分析 4w<U%57 脚本代码 {D={>0 5k)/SAU0 Option Explicit 'Remove this to enable non-dimensioned variables to be used. h2QoBGL5 Lf4c[[@%gd Dim entity As T_ENTITY &O/;YGEAB Dim op As T_OPERATION Cd?aC Dim mat As T_MODELMATERIAL o $7:*jU Dim A As Double XJ^dX]4 Dim pupilDiam As Double 2"cUBFc1I Dim eID As Long rF'_YYpr> Dim parID As Long ds}: t.3}6 Dim count As Integer U(4>e! Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double kc
Q~}uFB Dim tlens As Double, nlens As Double IlJ!jq Dim curv As Double, conic As Double {ZP0%MD Dim ok As Long _lcx?IV 8eCC
=Az: Sub Main Zi<Y?Vm/,O b1>zGC^| '用户输入对话框 V+G.TI
P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 KzZ|{!C TextBox 220,21,40,21,.TextBox1 'default: 0 G6]W'Kk Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }TI"j{(QJ OKButton 40,91,90,21 Lq:
!?)I CancelButton 190,91,90,21 l|TiUjs Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 8vpB(VxV+ TextBox 220,49,40,21,.TextBox2 'default: 4 !6{; z/Hy End Dialog U.g7' `Z< Dim dlg As UserDialog }#]2u|G 2l^hnog| ok = Dialog (dlg) 0&XdCoIe 6b`3AAGU" If ok=0 Then 'cancel button was pressed ]06orBV Print "Execution cancelled." %xv } End ^Y[.-MJt+ End If )nE=H,U?y HG
kL6o= 'Assign accommodation and pupil diameter & use defaults if field left empty 4}-{sS}MP If dlg.TextBox1 = "" Then
StZ GKY[Q A = 0 'Default accommodation as%@dUK? Else `#J0@ - A = CDbl(dlg.TextBox1) {HoeK>rd End If t*J*?Ma "Bn8WT2? If dlg.TextBox2 = "" Then L{PH8Xl_ pupilDiam = 4 'Default pupil diameter gkkT<hEV= Else uknX py)) pupilDiam = CDbl(dlg.TextBox2) Lh`B5 End If `_"F7Czn EH1GdlhA Print " " qrdA4S Print "Accommodation = " & A & " Diopters" 8);G'7O Print "Pupil Diameter = " & pupilDiam & " mm" GS_+KR\ [{@0/5i ' Calculate new parameters with accommodation jgpSFb<9F taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness <cig^B{nX -]hk2Q0 Rant = 12.0 - 0.4*A 'Radius of anterior lens Hst]}g' . CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens oJ4OVfknD q)N]*~ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens A?)nLp&Y CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vU(uu:U9 nLvF^%P8 tlens = 3.767 + 0.04*A 'Lens thickness m+m2<|%x Pk{eGG<F$ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ECW=865jL ^\"@r%| 'Adjust parameters to account for accommodation 1 >}x9D kfc5ra>& '************************************************************************* cpLlkR O 'Aqueous thickness (Position of Lens) ."X}A
t '************************************************************************* E!Ljq 3iT` eID = FindFullName( "Geometry.Arizona Eye.Lens" ) vIzREu|5 GetCustomElement eID, entity E^K<b7 Qvc$D{z parID = FindFullName( "Geometry.Arizona Eye" ) ue8"_N 3:]c> GPQ ' Delete any shift(s) in z :o"9x, count = 0 (i 2R1HCa While GetOperationCount(eID)>count c;6[lv GetOperation eID, count, op 8GN_3pT If op.Type="ShiftZ" Then v^0*{7N' DeleteOperation eID,count Q%T[&A}3B count=count-1 NpPuh9e{ End If iY[+BI: count=count+1 ahoXQ8c:\} Wend 'r0kX|| %$Smei 'Set new shift in WPu-P op.Type = "ShiftZ" ovXU +8 op.val1 = taq d}:eLC op.parent = parID Ea,L04K AddOperation eID, op [C-4*qOaa2 Print "Set aqueous humor thickness = " & taq-0.55 ,%=SO 82W )hy(0 D '************************************************************************* N e<D'- 'Radius and conic constant of anterior lens 14DHU '************************************************************************* m8ApiGG eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (&osR|/Tq
GetConic eID, entity, curv, conic *DUP$@}k UE\Z]t! SetConic eID, entity, 1/Rant, CCant w\}@+w3b~ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d8C44q+ds v?
Ufx '************************************************************************* qG)M8xk 'Radius and conic constant of posterior lens ABaK60.O[O '************************************************************************* "h`oT4j5q eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) :3N&&] GetConic eID, entity, curv, conic a\l?7Jr )W,.xP SetConic eID, entity, 1/Rpost, CCpost eYQPK?jo Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost I6e[K(7NY CK=TD`$w '************************************************************************* oniVC', 'Lens thickness (Position of posterior lens surface) tv 7"4$T '************************************************************************* eHl)/=' )45#lE3TH parID = FindFullName( "Geometry.Arizona Eye.Lens" ) $a#-d; 2L(\-]%f ' Delete any z-shift(s) t9eEcqMg count = 0 /$'|`jKsB While GetOperationCount(eID)>count 259R5X<V GetOperation eID, count, op 2
r';)8: If op.Type="ShiftZ" Then oAprM Z7Y DeleteOperation eID,count Y
a/+|mv count=count-1 0&$,?CL?
End If vrq5 +K&|| count=count+1 IQ\5!e Wend i9+qU csjCXT=Ve 'Set new z-shift K6EG"Vv! op.Type = "ShiftZ" S&J>15oWM` op.val1 = tlens 5q,ZH6\
{ op.parent = parID $)#?4v< AddOperation eID, op 7!g"q\s Print "Set lens thickness = " & tlens -T=sY/O OPuty/^!Gw '************************************************************************* wx*03(|j; 'Lens index of refraction Zg&o][T '************************************************************************* =&t]R?
F eID = FindMaterial( "Lens" ) ^xX1G_{ GetModelMaterial eID, mat 8pXqgIbmb I~F]e|Ehqr mat.Nd = nlens gp<XTLJ@> SetModelMaterial eID, mat J{U
171
Print "Set lens index of refraction = " & nlens ;DgQ8"f D k<NlH zp '************************************************************************* z 4qEC 'Pupil diameter hw({>cH\ '************************************************************************* 3}2;*:p4Y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Y[0mTL4IO qM18Ji* 'Adjust pupil diameter (trimming volume inner hole) lOy1vw' aQ*?L
l SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |,Kk#`lW<f ^{Fo,7 ' Adjust pupil location to just in front of the lens : "^/?Sd parID = FindFullName( "Geometry.Arizona Eye" ) 7g>|e eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 8ByNaXMO6 count = 0 l:+$K s While GetOperationCount(eID)>count BG8`B'i GetOperation eID, count, op /:@)De(S If op.Type="ShiftZ" Then wx8Qz,Z DeleteOperation eID,count 8ly6CP+^B count=count-1 W3gHzT?{ End If &Jd_@F#J count=count+1 9qkJ< Wend `ES+$ O> op.Type = "ShiftZ" y!c<P,Lt3f op.val1 = taq-0.01 WP{U9YF2 op.parent = parID }g&
KT!r AddOperation eID, op 0Ibe~!EiQJ b}&.IJ&40j Print "Set pupil diameter = " & pupilDiam Q`!^EyRA:^ pQi |PQq 'Update AZ Eye subassembly Description ${e5Ka eID = FindFullName( "Geometry.Arizona Eye" ) BvS!P8 GetEntity eID, entity E9\u^"GVO entity.Description = "Accommodation = " & A & "D" :JU$6 SetEntity eID, entity PqMu2 e g:s|D
hE[ Update J1w,;T\55 Print "DONE!" Dy*K;e-+ 2UG>(R: End Sub d;nk>6<| 3^iVDbAW{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: CfT(a!;Eox -"EPU]q Accommodation = 4 Diopters 9iV9q]($0 Pupil Diameter = 4 mm DzIV5FG Set aqueous humor thickness = 2.81 |]~], Set anterior lens radius = 10.4 and conic constant = -2.375869 nErr &{C Set posterior lens radius = -4.424557 and conic constant = -3.081019 .kTOG'K\e Set lens thickness = 3.927 Qxfds`4V9i Set lens index of refraction = 1.42672 1vYa&! Set pupil diameter = 4 ,$Cr9R&/ DONE! H<tU[U=G
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