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简介 &sx|sLw) zA/W+j$: 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。 u?f3&pA OQh36BM 模型 ZN ?P4#ZS ^JMSe- 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。 wzMWuA4vX m~Dq0 T Table 1. AZ眼睛模型的定义 cF[[_ 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. dMwVgc: V6d*O`
光源 ~j\/3;^s
t747SZWgB 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。 4[!&L:tR /j'We-C 8[FC 图1. 光源和提示信息使用 MQ>vHapr 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。 !+M H?A K (plzQ3 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。 NG_O I*|~ k-
sbZL 图2. 字母F光源的设定方法光 `4&\ %9 cuR|cUK 图3. 字母F在视网膜上位置点列图 pKMf#)qm 视网膜的散射 DrltxI) &K^h'>t' 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。 r\[HR ^` %'* |N[ $}k"wI[ 图4. 视网膜朗伯散射设定 %p2 C5z? 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 3a{QkVeV7 ~pj9_I &/\0_CoTR\ 图5. 视网膜重点采样规格设定 _'AIXez7q 脚本 nwN<Q\]S &nn.h@zje 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: igz:ek` D2!ww{t 图6. 用户对话框的创建与编辑 {djOU
9] 图7. 用户对话框编辑器 O|j5ulO}&" 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。 =WEfo; 余下的脚本计算与屈光度有关的所有参数。 BJj~fNm1Zr /,0t,"&Aqa 分析 \hM6 ykY- jd2Fh):q 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 V6$v@Zq [1nI%/</> 图7. 字母F在视网膜上颜色分析 5Cy)#Z{ 脚本代码 <tF]>(|M 2z[Pw0#V Option Explicit 'Remove this to enable non-dimensioned variables to be used. wOi>i`D& %k$C Dim entity As T_ENTITY Ya9uu@F Dim op As T_OPERATION *qb`wg Dim mat As T_MODELMATERIAL "-xC59, Dim A As Double ]K9x<@! Dim pupilDiam As Double ;#~
!`>n? Dim eID As Long &`TX4b^/! Dim parID As Long ^m1Rw| Dim count As Integer W: ?-d{ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Zo0&<QWj Dim tlens As Double, nlens As Double C}1(@$ Dim curv As Double, conic As Double N'`*#UI+ Dim ok As Long bY>o%LL- 6PMu;# Sub Main *q0N$}k tIr66'8 '用户输入对话框 Y*}Sq|y Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <m(nZ'Zqz2 TextBox 220,21,40,21,.TextBox1 'default: 0 akqXh 9g Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ;%jt;Xv9 OKButton 40,91,90,21 7k$8i9# CancelButton 190,91,90,21 d;;=s=j Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 q$t& *O_ TextBox 220,49,40,21,.TextBox2 'default: 4 ,DE%p
+q End Dialog ifgaBXT55 Dim dlg As UserDialog ^2??]R&Q
.Nf*Yqs0 ok = Dialog (dlg) m|7g{vHVV 'qM3.U If ok=0 Then 'cancel button was pressed MYx*W7X Print "Execution cancelled." YT:1=Nf} End R#ZDB]2 End If JV/,QWar ZE\t{s0 'Assign accommodation and pupil diameter & use defaults if field left empty -Qgfo|po If dlg.TextBox1 = "" Then ,f1wN{P A = 0 'Default accommodation \ D[BRE+ Else S77Gc:[;8 A = CDbl(dlg.TextBox1) o&AUB`.9~ End If l1:j/[B= 82=][9d # If dlg.TextBox2 = "" Then aH$~':[93 pupilDiam = 4 'Default pupil diameter M)xK+f2_[ Else PT4`1Oy}/1 pupilDiam = CDbl(dlg.TextBox2) 9BY b{<0tS End If g<C})84y3 LH_ 2oJ\ Print " " 5[R}MhLZ Print "Accommodation = " & A & " Diopters" 0I _;?i Print "Pupil Diameter = " & pupilDiam & " mm" j;y|Ys)I !^7:Rr_ ' Calculate new parameters with accommodation gky_]7Av taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~9c9@!RA2 Ov|j{}=L=9 Rant = 12.0 - 0.4*A 'Radius of anterior lens btYPp0o~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3edAI&a5 ` WB|h)Y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens X"0Q) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ZJpI]^9| h>/ViB@"W| tlens = 3.767 + 0.04*A 'Lens thickness yS43>UK_W+ |l|]Tw nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction G](K2= ;H=6u 'Adjust parameters to account for accommodation NLpD,q{ _"bx#B* '************************************************************************* s7e'9Bx 'Aqueous thickness (Position of Lens) kMo)4Xp '************************************************************************* 5Z[D(z eID = FindFullName( "Geometry.Arizona Eye.Lens" ) B<R-|-# GetCustomElement eID, entity t5k&xV=~
# YZ>cE# parID = FindFullName( "Geometry.Arizona Eye" ) v(^rq fz&}N`n ' Delete any shift(s) in z O>GP>U?] count = 0 {<2ZbN? While GetOperationCount(eID)>count FCWphpz GetOperation eID, count, op 7q 2YsI If op.Type="ShiftZ" Then fh^_=R(/ DeleteOperation eID,count hvyN8We count=count-1 JdHc'WtS!| End If 6!nb)auVi count=count+1 MUrY >FYgx Wend 3EvA 5K. ="DgrH 'Set new shift in L@Z
&v'A op.Type = "ShiftZ" 7|-xM>L$A op.val1 = taq ["}A#cO652 op.parent = parID oc(bcU AddOperation eID, op _&/Zab5 Print "Set aqueous humor thickness = " & taq-0.55 ~^S- Pb,^UFa= '************************************************************************* DVJc-.x8 'Radius and conic constant of anterior lens A 5 X+Z '************************************************************************* )ta5y7np
eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zmFFBf"< GetConic eID, entity, curv, conic k%g xY% 0 O[y`'z;C SetConic eID, entity, 1/Rant, CCant j,xPN=+hT Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant i!3K G|V ~@D%qbN '************************************************************************* lt4jnV2"a 'Radius and conic constant of posterior lens Q*.FUV&; '************************************************************************* ]eW|}V7A: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0EOX@;} GetConic eID, entity, curv, conic CD_f[u aS vE SetConic eID, entity, 1/Rpost, CCpost 0*?XQV@ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Y:,R7EO{! 0JNOFX '************************************************************************* ^-u HdafP 'Lens thickness (Position of posterior lens surface) j9}0jC2Tb '************************************************************************* _oTT3[7P \`&pk-uW parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y:%)cUxA e@=[+iJc ' Delete any z-shift(s) Vb^s 'k count = 0 J'yN' 0 While GetOperationCount(eID)>count ]7kGHIJ| GetOperation eID, count, op $
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If op.Type="ShiftZ" Then cWO
)QIE DeleteOperation eID,count tR*W-% count=count-1 !rg0U<bO! End If m->%8{L count=count+1 -]\E}Ti Wend 3:joSQa {(}w4.! 'Set new z-shift MLBg_< op.Type = "ShiftZ" :{:?D\%6 op.val1 = tlens )O@^H op.parent = parID }c4E 2c AddOperation eID, op 2ZbY|8X$r Print "Set lens thickness = " & tlens o
U}t'WU -\'.JA_ '************************************************************************* -`dxx)x 'Lens index of refraction Kn#xY3W6 '************************************************************************* kgI=0W> eID = FindMaterial( "Lens" ) ~,!hE&LE~ GetModelMaterial eID, mat :F>L;mp IHbo w0' mat.Nd = nlens *{dD'9Bg SetModelMaterial eID, mat mnQjX ? Print "Set lens index of refraction = " & nlens ~5 pC$SC6> l8xd73D)8 '************************************************************************* aC yb-P 'Pupil diameter Z#Zzi5< '************************************************************************* y'!p>/%v eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) KPjqw{gR_R P}+|`>L 'Adjust pupil diameter (trimming volume inner hole) CESe}^)n +z(,A SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ro&Y7m 9[p}.9/ ' Adjust pupil location to just in front of the lens -{8Q= N parID = FindFullName( "Geometry.Arizona Eye" ) [> &+*c eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |t 65#1 count = 0 I"cQ5gF?A While GetOperationCount(eID)>count VIz{}_~'s GetOperation eID, count, op s/G5wRl< If op.Type="ShiftZ" Then 9SH<d)^ DeleteOperation eID,count Tt <-<oyU. count=count-1 0J:U\S End If U.pr} hq count=count+1 e(n2+S#N Wend TFJ{fLG op.Type = "ShiftZ" XuFm4DEJ op.val1 = taq-0.01 c;21i;&,9 op.parent = parID [2QY AddOperation eID, op D2TXOPH tLXn?aNY Print "Set pupil diameter = " & pupilDiam t|#NMRz
il IV}8 'Update AZ Eye subassembly Description (ciGLfNG eID = FindFullName( "Geometry.Arizona Eye" ) }uvKE|umj GetEntity eID, entity f`u5\!}=! entity.Description = "Accommodation = " & A & "D" Pzk[^z$C SetEntity eID, entity 2yJ7]+Jd7Y A|
gs Uh Update E2q B: Print "DONE!" xyS2_Q '#McY'.D T End Sub %|`:5s-T% 2w x[D 如果屈光度是4,光瞳直径是4,则会输出如下数据: Y uw
E 0 c69U1 Accommodation = 4 Diopters NWQPOq# Pupil Diameter = 4 mm Lt;.Nw Set aqueous humor thickness = 2.81 h=v[i!U-eY Set anterior lens radius = 10.4 and conic constant = -2.375869 U5On-T5 Set posterior lens radius = -4.424557 and conic constant = -3.081019 :\1rQT Set lens thickness = 3.927 PUQ_w Set lens index of refraction = 1.42672 [.#p Set pupil diameter = 4 (5Z8zNH`3 DONE! _o &, taWirqd9 -~(0O QQ:2987619807 .fLiX x
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