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简介 - d8TD*^ 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。 WxW7qt L>MLi3{ 模型 4Yxo~ m( /nyUG^5#{ 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。 eKgisY4# /rg*p Table 1. AZ眼睛模型的定义 2GFLnz 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. e.]K L(' 0="%Y^N 光源 ,pqGX3 jL(qf~c_ 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。 =fu
:@+ wyp|qIS; ;ToKJ6hN|* 图1. 光源和提示信息使用 W;_nK4$%' 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 z)'M k[ UH]l9Aq$P 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。 dArDP[w A{UULVp 图2. 字母F光源的设定方法光 M9EfU 8'~[pMn` 图3. 字母F在视网膜上位置点列图 D-8O+.@ 视网膜的散射 ="x\`+U J%x6 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。 &F\? OTMJ6)n7 ] x\-$~E 图4. 视网膜朗伯散射设定 }Mo=PWI1? 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 S?RN?1 -cZDGt QF{4/y^j{ 图5. 视网膜重点采样规格设定 TftHwe):V 脚本 [E+$?a= /b]oa! 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: =g/{%; A6GE,FhsG 图6. 用户对话框的创建与编辑 hZh9uI7. 图7. 用户对话框编辑器 ?g?L3vRK 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。 ,z3{u162 余下的脚本计算与屈光度有关的所有参数。 0|2%vh >J _$=
_du 分析 CF+_/s#j^ SGh1 DB 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 i-bJS6 1c<=A!"{ 图7. 字母F在视网膜上颜色分析 U Z.=aQ}M 脚本代码 8aO~/i:(. (Q%'N3gk Option Explicit 'Remove this to enable non-dimensioned variables to be used. 1&^MfP} -QOw8vm Dim entity As T_ENTITY 1"/He ` 4 Dim op As T_OPERATION \cC%!4 Dim mat As T_MODELMATERIAL ,oaw0Vw Dim A As Double G"X8}:} Dim pupilDiam As Double la( <8 Dim eID As Long =Vy`J)z9 Dim parID As Long _/Gczy4)# Dim count As Integer f@8>HCI Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double b8LoIY* Dim tlens As Double, nlens As Double 5O~HWBX. Dim curv As Double, conic As Double 0@G")L
Ue0 Dim ok As Long S|apw7C +x_Rfk$fb Sub Main ^xh}I5 z|asa* '用户输入对话框 SG-'R1
J Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 c7tfRq
n+ TextBox 220,21,40,21,.TextBox1 'default: 0 vz^<YZMu Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 vFE;D@bz: OKButton 40,91,90,21 ?_"+^R z CancelButton 190,91,90,21 bx]N>k J Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Q -MQ9' TextBox 220,49,40,21,.TextBox2 'default: 4 2P/K
K End Dialog f 1w~!O9 Dim dlg As UserDialog 2>86oP& '~ ,p[ ok = Dialog (dlg) 66.5QD0 eFpTW&9n If ok=0 Then 'cancel button was pressed 9AxCiT. Print "Execution cancelled." U+)xu>I
End ZKQG:M~| End If R
zf M9y<t' 'Assign accommodation and pupil diameter & use defaults if field left empty ?T>'j mmV= If dlg.TextBox1 = "" Then q4}PM[K?=\ A = 0 'Default accommodation slg ]#Dy Else S+'rG+NJ A = CDbl(dlg.TextBox1) +n<k)E@>J End If NZ/yBOD( n) k1 If dlg.TextBox2 = "" Then DyeQJ7p pupilDiam = 4 'Default pupil diameter N@Y ljz| Else vC1v"L;[o/ pupilDiam = CDbl(dlg.TextBox2) UB 6mqjPK End If
fv`O4 s<9RKfm Print " " 6oLwfTy Print "Accommodation = " & A & " Diopters" ,WvY$_#xW% Print "Pupil Diameter = " & pupilDiam & " mm" :um|nRwy9 ;9~6_@,@o ' Calculate new parameters with accommodation .&9 i taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness PH>
b-n '@jXbN Rant = 12.0 - 0.4*A 'Radius of anterior lens %{/%mJoX CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3t<a $i _~rI+l A Rpost = -5.224557 + 0.2*A 'Radius of posterior lens O~59FuL CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ]da^xWK } ~"hC3w tlens = 3.767 + 0.04*A 'Lens thickness ?p(/_@ lW(px^&IN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction QHWBAGA X=Ys<TM, 'Adjust parameters to account for accommodation p=C%Hmd5E W-.pmU e2 '************************************************************************* 6I!7c^]t 'Aqueous thickness (Position of Lens) mwY
IJy[ '************************************************************************* $&<uT eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;zYqsS GetCustomElement eID, entity :^Fh!br== `2`\]X_A{ parID = FindFullName( "Geometry.Arizona Eye" ) B Ce|is0 B*~5)}1op ' Delete any shift(s) in z `;l?12|X count = 0 ^Ve<>b While GetOperationCount(eID)>count t=u
Qb= GetOperation eID, count, op {X*^s5{;H If op.Type="ShiftZ" Then Gg~QAsks
DeleteOperation eID,count #7ov#_2Jd count=count-1 >IX/<
{);M End If 549jWG count=count+1 +=]!P# Wend ZVbl88,(l NM0tp )h 'Set new shift in _>=L>* op.Type = "ShiftZ" !<UJ6t} op.val1 = taq hFk3[zTy op.parent = parID ~}!3G AddOperation eID, op +8v9flh Print "Set aqueous humor thickness = " & taq-0.55 2-"0 ^n{ 0vVV%,v '************************************************************************* O/.Uh`T`6 'Radius and conic constant of anterior lens rz"txN '************************************************************************* xGU(n_Y eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {
.*y GetConic eID, entity, curv, conic kKPi:G52F hzI|A~MFB SetConic eID, entity, 1/Rant, CCant % ,N< Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant f>s?4 S.Z9$k% '************************************************************************* =
pI?A^ 'Radius and conic constant of posterior lens 2P]L9'N{Y '************************************************************************* Wm H~m k" eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) _{Sm k[ GetConic eID, entity, curv, conic /
}R z=& Cn>ADWpT& SetConic eID, entity, 1/Rpost, CCpost $5v0m#[^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]c&<zeX, d/}SAvtt '************************************************************************* u7xDau(c 'Lens thickness (Position of posterior lens surface) <BSc* 9Q '************************************************************************* "+zCS|
A>[|g`;t parID = FindFullName( "Geometry.Arizona Eye.Lens" ) w=|GJ0 R/^u/~< ' Delete any z-shift(s) DAwqo.m count = 0 s;1]tD While GetOperationCount(eID)>count |A%<Z( GetOperation eID, count, op }gkM^*$:% If op.Type="ShiftZ" Then \`, [)` DeleteOperation eID,count vsL[*OeI count=count-1 tX!nsm1 End If EwS!]h? count=count+1 i5>+}$1 Wend +525{Tj y7S4d~& 'Set new z-shift .XkMk|t8 op.Type = "ShiftZ" % aUsOB-RV op.val1 = tlens k<RZKw Qc op.parent = parID 0 a~HiIh AddOperation eID, op 66#" Print "Set lens thickness = " & tlens \m=?xb8
f `MEYd U1 '************************************************************************* vA)O{W\o 'Lens index of refraction P/JK $nb '************************************************************************* 341?0%= eID = FindMaterial( "Lens" ) 84i_k GetModelMaterial eID, mat v`V7OD#:j] ?0_7?yTR/ mat.Nd = nlens oo=#XZkk SetModelMaterial eID, mat QRLJ_W^&u Print "Set lens index of refraction = " & nlens x f4{r+ kAM1TWbaVQ '************************************************************************* YUQtMf9 'Pupil diameter 7O`o ovW$ '************************************************************************* -
}!H3]tr eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) q!f1~ aG kkvtB<<Y 'Adjust pupil diameter (trimming volume inner hole) ri1C-TJM) /U6%%%-D` SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" o$C|J]% dr{y0`CCN ' Adjust pupil location to just in front of the lens 9_fePS|Z4 parID = FindFullName( "Geometry.Arizona Eye" ) _MWM;f`b eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |wox1Wt|E count = 0 D;Gq)]O While GetOperationCount(eID)>count +%N
KQ'49I GetOperation eID, count, op Pv<FLo%u< If op.Type="ShiftZ" Then iqhOi|! DeleteOperation eID,count *2}O-e count=count-1 M[~{Vd End If `]$?uQ count=count+1 yMLOUUWa8x Wend kCUT ^ op.Type = "ShiftZ" 19(Dj&x op.val1 = taq-0.01
u@p? op.parent = parID hNXBVIL<& AddOperation eID, op e75UMWaeC 0aR,H[r[? Print "Set pupil diameter = " & pupilDiam PN$
.X"D8 7%OKH<i\2< 'Update AZ Eye subassembly Description qQ7w&9r.M eID = FindFullName( "Geometry.Arizona Eye" ) j%<}jw[2 GetEntity eID, entity 4R>zPEo entity.Description = "Accommodation = " & A & "D" Je4Z(kj 0 SetEntity eID, entity xx*2?i BO.dz06(Rw Update _SZ5P>GIU Print "DONE!" ]WJfgN4 (1pEEq84 End Sub jnuY{0(& 5/m$)wE 如果屈光度是4,光瞳直径是4,则会输出如下数据: 6Ggs JU ?p[O%_Xf Accommodation = 4 Diopters [O-sVYB Pupil Diameter = 4 mm /T0nLp`gi Set aqueous humor thickness = 2.81 {+("C]
b Set anterior lens radius = 10.4 and conic constant = -2.375869 >+cVs: Set posterior lens radius = -4.424557 and conic constant = -3.081019 lf>nbvp Set lens thickness = 3.927 (I{
$kB"p Set lens index of refraction = 1.42672 %u p}p/? Set pupil diameter = 4 1'6cGpZY DONE! rFJ[dz H L<s@kEZ (文章来源:讯技光电)
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