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简介 KX{ S8_ 4/$]wK` 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 'l2`05 .Zo8KwkFY 模型 [&e}@!8O` F$d`Umqs;P 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。 ^"l4 xmbkn}@A Table 1. AZ眼睛模型的定义 0nBAO 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. s@0#w*N CB|Z~_Bm 光源 -V(5U!^B U)N;=gr\ 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。 |XPT2eQ{ qL(Qmgd 8$S$*[-a 图1. 光源和提示信息使用 [5>0om5 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"m^u6Cmy- =xg pr*
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。 9^XT,2Wwf YYN=`ST 图2. 字母F光源的设定方法光 dKhDO`.s H;|^z@RB< 图3. 字母F在视网膜上位置点列图 iYR8sg[' # 视网膜的散射 bq]af.o* F?3a22Zg# 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。 cSQvP. H+ t^eg88 gFJd8#6t 图4. 视网膜朗伯散射设定 5s`NR<|2L 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。 d.sxB}_O CKyX Z Za5*HCo 图5. 视网膜重点采样规格设定 ]hc.cj`\W& 脚本 }m(u oT~ T-uI CMEf 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: 1Sr@$+VGO .(ki(8Z N 图6. 用户对话框的创建与编辑 l\JoWL 图7. 用户对话框编辑器 o=7 -&F. 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 Ub%5# <k|- 余下的脚本计算与屈光度有关的所有参数。 =T!iM2 V\Cu|m&HI 分析 Syo1Dq6z. b1R%JY7/S 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 z1*8 5?
d?.ewsC 图7. 字母F在视网膜上颜色分析 {b}Ri&oEOH 脚本代码 9ssTG4Sa m6bAvy]3<t Option Explicit 'Remove this to enable non-dimensioned variables to be used. zvL;.U ,)[u<& Dim entity As T_ENTITY `,3;#.[D Dim op As T_OPERATION Dqs{n?@n Dim mat As T_MODELMATERIAL D<$,v(- Dim A As Double M|w;7P} Dim pupilDiam As Double 4 bw8^ Dim eID As Long @Xts}(L Dim parID As Long 7LbBS:@3z_ Dim count As Integer .i)
H1sD Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double BRLrD/8Le Dim tlens As Double, nlens As Double xrs?"]M[ Dim curv As Double, conic As Double IVjH.BzH9 Dim ok As Long 40w,:$ v[E*K@6f Sub Main iimTr_TEt GWsvN&nr '用户输入对话框 )v
!GiZ"7 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9w9[0BX# TextBox 220,21,40,21,.TextBox1 'default: 0 ph
qx<N@ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 '_N~PoV OKButton 40,91,90,21 JK))Cuh CancelButton 190,91,90,21 o$)pJ#";F Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9)9p<(b$ TextBox 220,49,40,21,.TextBox2 'default: 4 {OtD+% End Dialog ;x^WPYEj Dim dlg As UserDialog CoO.. A)/8j2 ok = Dialog (dlg) XHKiz2Pc1 K%h9'}pq>1 If ok=0 Then 'cancel button was pressed FrT.<3 Print "Execution cancelled." 2.)xWCG End n;+CV~ End If TwJiYXHw? iI\bD 'Assign accommodation and pupil diameter & use defaults if field left empty $a.fQ<,\X If dlg.TextBox1 = "" Then ,j E'd'$ A = 0 'Default accommodation }tJRBb Else (cAWT, A = CDbl(dlg.TextBox1)
RdaAS{>Sk End If Hz~?"ts@; u5zL;C3O If dlg.TextBox2 = "" Then &B?TX. pupilDiam = 4 'Default pupil diameter @`t#Bi9 Else HEh,Cf7`' pupilDiam = CDbl(dlg.TextBox2) @D1}). End If goBl~fqy0 r&!Ebe- Print " " u-qwG/$E Print "Accommodation = " & A & " Diopters" mWEaUi)Zz Print "Pupil Diameter = " & pupilDiam & " mm" b* (~8JxZ >1uo5,wrF ' Calculate new parameters with accommodation }9=X*'BO taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 0>{&8: q9+`pj Rant = 12.0 - 0.4*A 'Radius of anterior lens W;L<zFFbU) CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens E&>3 {uZI )bqSM&SO Rpost = -5.224557 + 0.2*A 'Radius of posterior lens v<0\+}T1R CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 'C[{cr.` (dvsGYT|. tlens = 3.767 + 0.04*A 'Lens thickness zy8Z68%E`* }OZut!_ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction zP554Gr ? &k53*Wo 'Adjust parameters to account for accommodation vX?MB 2:[
- '************************************************************************* ]? 2xS?vd 'Aqueous thickness (Position of Lens) y0}3s)lKv '************************************************************************* U)v){g3w) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) +|0f7RB+R GetCustomElement eID, entity @kh:o\ ~t=73fwB parID = FindFullName( "Geometry.Arizona Eye" ) R;d)I^@ dlv1liSXL5 ' Delete any shift(s) in z fl@=h[g#t count = 0 }^Ymg7wA While GetOperationCount(eID)>count mM#[XKOC< GetOperation eID, count, op W0-KFo.' If op.Type="ShiftZ" Then E^s<5BC; DeleteOperation eID,count &[yW}uV<7 count=count-1 ,]Gi942 End If 9Gh:s6 count=count+1 J^w!?nk Wend
eeMeV> 6Dl]d%. 'Set new shift in }R&5Ye op.Type = "ShiftZ" qX9x#92 op.val1 = taq ] S0tK op.parent = parID @"h@4q/W AddOperation eID, op I@/s&$H`l Print "Set aqueous humor thickness = " & taq-0.55 gI T3A*x 3*(w=;y '************************************************************************* C}'Tmi 'Radius and conic constant of anterior lens l@W1bS '************************************************************************* aw\0\'} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) WY& [%r GetConic eID, entity, curv, conic 'G)UIjl F=g+R~F SetConic eID, entity, 1/Rant, CCant pLiGky Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant eo [eN. Dve+ #H6N '************************************************************************* $-w&<U$E 'Radius and conic constant of posterior lens Hd_W5R '************************************************************************* S"<"e\\}"_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) alp}p GetConic eID, entity, curv, conic b'O>qQ b[/uSwvi SetConic eID, entity, 1/Rpost, CCpost ^]zC~LfG Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost a(#aEbN?d xJ rKH '************************************************************************* Lk8[fFa4 'Lens thickness (Position of posterior lens surface) a%YohfsY?U '************************************************************************* 'eYM;\%(' Vi*HG &DD parID = FindFullName( "Geometry.Arizona Eye.Lens" ) dCn'IM1 A.5`+ ' Delete any z-shift(s) ISDeLUihY count = 0 U(6=;+q While GetOperationCount(eID)>count %AJTU3=0 GetOperation eID, count, op BG9.h! If op.Type="ShiftZ" Then Hx?OCGj=S* DeleteOperation eID,count 5Tg[-tl count=count-1 y#iQ End If oMeIXb)z count=count+1 b haYbiX? Wend =\FV_4) cii!
WCu 'Set new z-shift x T8pwTO op.Type = "ShiftZ" o,gH* op.val1 = tlens 2A(?9
R9&h op.parent = parID %1Nank!Zj AddOperation eID, op B,(zp#&yB Print "Set lens thickness = " & tlens RQO&F$R= vp4NH]fJ '************************************************************************* [X^Oxs 'Lens index of refraction sNHxUI '************************************************************************* [k{2)g eID = FindMaterial( "Lens" ) `|`Qrv4} GetModelMaterial eID, mat zI{~;`tzN %f1>cO9[ mat.Nd = nlens |PxTm SetModelMaterial eID, mat U9(p ^ Print "Set lens index of refraction = " & nlens <x[CL,Zg7 ?Rd{`5.D '************************************************************************* TjY-C m 'Pupil diameter ?2nF1>1 '************************************************************************* SUN!8
qFA eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) YmPNaL w#^z:7fI 'Adjust pupil diameter (trimming volume inner hole) 60z8U#upM q+{$"s9v SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Nv5)A=6#AA A+41JMH ' Adjust pupil location to just in front of the lens B>UF dj]- parID = FindFullName( "Geometry.Arizona Eye" ) 7'zXf)! eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) W|CZA count = 0 bw8[L;~%_ While GetOperationCount(eID)>count I%M"I0FV GetOperation eID, count, op <c.8f;1F If op.Type="ShiftZ" Then ]$&N"&q DeleteOperation eID,count $2w][ d1 count=count-1 5j~1%~,# End If Ohn?>qQ count=count+1 %$[#/H7=W Wend qAW?\*n5N op.Type = "ShiftZ" &>A<{J@VL op.val1 = taq-0.01 ]x5+v0 op.parent = parID ?k$'po*Eq AddOperation eID, op h,zM*z A_ KdXqW0nm Print "Set pupil diameter = " & pupilDiam 9Q>85IiT 2y5d 'Update AZ Eye subassembly Description s8.SEk|pB eID = FindFullName( "Geometry.Arizona Eye" ) pD17r}% GetEntity eID, entity l05'/duuJ entity.Description = "Accommodation = " & A & "D" X'J!.Jj SetEntity eID, entity {RC&Ub> ''Hx& Update * zt?y Print "DONE!" e!=~f%c<N b?K`DUju{0 End Sub jSMxb a] >
JV$EY, 如果屈光度是4,光瞳直径是4,则会输出如下数据: A)_HSIVi 8Z!Mad Accommodation = 4 Diopters &4{!5r Pupil Diameter = 4 mm *f o> Set aqueous humor thickness = 2.81 B}+li1k Set anterior lens radius = 10.4 and conic constant = -2.375869 "A]#KTP Set posterior lens radius = -4.424557 and conic constant = -3.081019 } 89-U Set lens thickness = 3.927 $X,dQ]M Set lens index of refraction = 1.42672 8/k"A-m Set pupil diameter = 4 k}]M`ad DONE! CUnBi? Mi G@zJf)u} U:0Ma6< QQ:2987619807 ]j0/.pG
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