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简介 !:c7I@ gA`/t e 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。 7>9/bB+TL q^n6"&;* 模型 k#5S'sCF< w44{~[0d4 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。 R
7xV{o ?Xlmt$Jp Table 1. AZ眼睛模型的定义 vJtQ&,zG 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. WN?!(r<qA_ %Kw5b ; 光源 v )%EG @H]g_yw [: 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 o-("S|A-
vF]?i TJ?}5h5 图1. 光源和提示信息使用 -x:Wp*, 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 r\'3q'7p M\enjB7k 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ;}.jRmnJ R+]Fh4t 图2. 字母F光源的设定方法光 <*8nv.PX* BXZ( %tnY 图3. 字母F在视网膜上位置点列图 `w[0q?}"` 视网膜的散射 9P{5bG0o8 wrK$ZO] 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。 xZGR<+t y!blp>V6 e4khReF; 图4. 视网膜朗伯散射设定 n!ea)+^ 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。 <saS2.4 \^|ncu:T A;SRm<, 图5. 视网膜重点采样规格设定 87YT;Z;U& 脚本 wD22@uM#] gS4K](KH | 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: xDRK^nmC ;=_<\2 图6. 用户对话框的创建与编辑 dQ/Xs.8 图7. 用户对话框编辑器 HR['y9U 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。 A>R ^iu 余下的脚本计算与屈光度有关的所有参数。 p KKn 8%arA"#S 分析 _~HGMC) +\"@2mOH{+ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @2YO_rL[ ]r'b(R; S 图7. 字母F在视网膜上颜色分析 )K8JDP 脚本代码 N^%[
B9D hL67g Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7:jSP$ *v8Cj(69 Dim entity As T_ENTITY -S)HB$8 Dim op As T_OPERATION CSt6}_c! Dim mat As T_MODELMATERIAL *`|.:' Dim A As Double
Y($"i<rN Dim pupilDiam As Double %+o]1R Dim eID As Long Kqhj=B Dim parID As Long `9zP{p Dim count As Integer n)$ q*IN" Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9#O"^.Z ! Dim tlens As Double, nlens As Double
{3_M&$jN Dim curv As Double, conic As Double <0JW[m Dim ok As Long ;,Lq*x2s luat1#~J Sub Main V9B $_j4 2=["jP!B '用户输入对话框 >'Y] C\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 vJl4.nk TextBox 220,21,40,21,.TextBox1 'default: 0 e)cmZ8~S Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _4[kg)#+ OKButton 40,91,90,21 @HIC i] CancelButton 190,91,90,21 {P1W{| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ${6 ;]ye TextBox 220,49,40,21,.TextBox2 'default: 4 /x0zZ+}V End Dialog pf] sL/g Dim dlg As UserDialog >jN)9}3>-# 0sV;TQt+f ok = Dialog (dlg) jUW{Z@{U mR8&9]g& If ok=0 Then 'cancel button was pressed #G)ZhgB^ Print "Execution cancelled." f\^FUJy End CIO&VK End If a l#yc =1` 'Assign accommodation and pupil diameter & use defaults if field left empty t)$>++i If dlg.TextBox1 = "" Then >qcir~ & A = 0 'Default accommodation 47ir QK* Else ]C5JP~#z A = CDbl(dlg.TextBox1) T3'dfe U End If zzq/%jki 7v%~^l7:x If dlg.TextBox2 = "" Then `P :-a7_ pupilDiam = 4 'Default pupil diameter olK%TM[Y Else ~[ve?51 pupilDiam = CDbl(dlg.TextBox2) ZVK;m1?' End If i]9SCO c @2s!bs Print " " LR-op?W Print "Accommodation = " & A & " Diopters" P(A%z2Ql Print "Pupil Diameter = " & pupilDiam & " mm" 0($MN]oZa )Cu"M#` ' Calculate new parameters with accommodation iwrdZLE taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness QsI$4:yl Z{u*vUC& Rant = 12.0 - 0.4*A 'Radius of anterior lens P9X/yZ42 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ZFz>" vt@ ffuV$# Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
gt}/C4| CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ;uR8pz e <(s+ tlens = 3.767 + 0.04*A 'Lens thickness 4s0>QD$J .`xcR]PQ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Z1^S;#v |D`Zi>lv 'Adjust parameters to account for accommodation <t]i'D(K 9dy"Y~c '************************************************************************* }IEYH&4! 'Aqueous thickness (Position of Lens) hvZW~
=75 '************************************************************************* i"sVk8+o! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n#Z6 d` GetCustomElement eID, entity Gh42qar` d3^LalAp parID = FindFullName( "Geometry.Arizona Eye" ) 8l;0)`PU 0+cRUH9Ew ' Delete any shift(s) in z ZaXK=%z count = 0 @: %}clZ While GetOperationCount(eID)>count "+Xwc+v^ GetOperation eID, count, op RQ}x7</{ If op.Type="ShiftZ" Then cs~
}k7>< DeleteOperation eID,count s+Ln>c'|o count=count-1 $ZwsTV]x End If q'q'v
S count=count+1 3cQTl5, Wend bF?EuL r `28fC 'Set new shift in 4lvo9R op.Type = "ShiftZ" /EKfL\3 op.val1 = taq !=q {1\# op.parent = parID 7d'4"c;*; AddOperation eID, op VaSw}q/o:/ Print "Set aqueous humor thickness = " & taq-0.55 49HtI9@ wF3mQ_hv:@ '************************************************************************* od?Q&'A 'Radius and conic constant of anterior lens $T]1<3\G '************************************************************************* |~v($ c eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) J>X aQfzwU GetConic eID, entity, curv, conic LF*3Iw|v EzzzH(!j SetConic eID, entity, 1/Rant, CCant %>5Ht e< Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 2/?pI/W UxD1+\N6? '************************************************************************* }u:^ Mz 'Radius and conic constant of posterior lens 4ol=YGCI_ '************************************************************************* otX#}} + eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) "Z}0 A/y GetConic eID, entity, curv, conic BQ_\8Qt| I%{^i d@ SetConic eID, entity, 1/Rpost, CCpost ;#fB=[vl"; Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost nGX~G^mZ {vA;#6B| '************************************************************************* ]DC]=F. 'Lens thickness (Position of posterior lens surface) :M|bw{P* '************************************************************************* ,<pql!B- bis/Nfr] parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Qpf BM N]+x@M @^3 ' Delete any z-shift(s) f&^Ea-c count = 0 ~3f#cEP>d} While GetOperationCount(eID)>count ?_n.B=H`8 GetOperation eID, count, op _mXq]r0 If op.Type="ShiftZ" Then EB@!?=0x DeleteOperation eID,count G.B^C)guu count=count-1 R>pa? tQgK End If h`3;^T count=count+1 +u25>pX Wend TSHp.ABf pc-'+7Dh> 'Set new z-shift >2$Ehw:K^ op.Type = "ShiftZ" GXJ3E"_. op.val1 = tlens ;J?^M!l2= op.parent = parID /:awPYGH<1 AddOperation eID, op @$+l ^"#-] Print "Set lens thickness = " & tlens FopD/D{ ~}4H=[Zu '************************************************************************* sPc\xY 'Lens index of refraction B#EF/\5 '*************************************************************************
36Wuc@<H eID = FindMaterial( "Lens" ) _;LHC;,:
GetModelMaterial eID, mat 9Cf^Q3)5o #Kn7
xn[ mat.Nd = nlens hh: )"<[ SetModelMaterial eID, mat 8'g/WZY~~ Print "Set lens index of refraction = " & nlens IFpmf0;^ 1Rp|*> '************************************************************************* )](8{}wo 'Pupil diameter iCv &<C@ '************************************************************************* K<+AJ(C eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) pLyX9C pR\etXeL d 'Adjust pupil diameter (trimming volume inner hole) dF1Bo fCEd
:Kr SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" (W@
ypK@ $RA"NIZ:! ' Adjust pupil location to just in front of the lens 7zQD.+&L parID = FindFullName( "Geometry.Arizona Eye" ) |C-B=XE;3 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }[i35f[w count = 0 xn}'!S2-b While GetOperationCount(eID)>count 8^< -; GetOperation eID, count, op Oa@X! \ If op.Type="ShiftZ" Then c1:op@t DeleteOperation eID,count ZU "y< count=count-1 _f34p:B%s End If >u4uV8S count=count+1 tbOe,-U-@ Wend U*a!Gn7l op.Type = "ShiftZ" ]]`+aF0 op.val1 = taq-0.01 09x\i/nb op.parent = parID #+_OyZ* AddOperation eID, op VQo7se1P 4r5,kOFWb Print "Set pupil diameter = " & pupilDiam Y{p *$ oM MU5sm 'Update AZ Eye subassembly Description 2]4R`[# eID = FindFullName( "Geometry.Arizona Eye" ) :;??!V GetEntity eID, entity 1 !\pwd@{ entity.Description = "Accommodation = " & A & "D" C<n.C*o SetEntity eID, entity jq =-Y fylaH(LER Update YnI Print "DONE!" K5w22L^=+ $X\BO& End Sub @H{$,\\ Nw|Lrn*h! 如果屈光度是4,光瞳直径是4,则会输出如下数据: G_AAE#r` ^5;Y Accommodation = 4 Diopters b0KorUr Pupil Diameter = 4 mm P, S9gG9 Set aqueous humor thickness = 2.81 twO)b"0 Set anterior lens radius = 10.4 and conic constant = -2.375869 8-SVgo( Set posterior lens radius = -4.424557 and conic constant = -3.081019 XriVHb Set lens thickness = 3.927 ,:L}S03k Set lens index of refraction = 1.42672 ?W(wtp,o Set pupil diameter = 4 _k
j51= DONE! crhck'?0 5T8!5EcS* JL(*peeu3 QQ:2987619807 ::M/s#-@
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