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简介 6;:D!},'c 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。 )92(C 0Fon`3(^\ 模型 qD\9h`a 4U}J?EB?K 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。 6,jCO@!
%{4U\4d@' Table 1. AZ眼睛模型的定义 !ry+{v+A 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. dmXfz D LTzdg >\oJ 光源 Ssz;d&93 mF~]P8 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。 |n tWMm:( #_S]\=N( / [49iIzC 图1. 光源和提示信息使用 ,{S $&g* 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。 Y DHP-0? K-\wx5#l/ 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。 0fBwy/: ~7KH/%Z- 图2. 字母F光源的设定方法光 @ :PMb Ub x=xo9wEg 图3. 字母F在视网膜上位置点列图 7]1a3Jk 视网膜的散射 ^o _J0
]m Yb<:1?76L 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。 gl`J( t7u*j-YE &}Wi@;G]2 图4. 视网膜朗伯散射设定 <_t]?XHB[ 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。 1;c># 20 "|dhmV[; '6){~ee
S 图5. 视网膜重点采样规格设定 p&Qm[! 脚本 #[x*0K-h J|^XD<Y 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: CC"a2Hu/ DMsqTB` 图6. 用户对话框的创建与编辑 -hm/lxyU 图7. 用户对话框编辑器 yv]|Ce@8A 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。 'v0rnIsI? 余下的脚本计算与屈光度有关的所有参数。 gy,)%{,G n!~ $Z/ 分析 p.8 !LpjTMYs 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 |4pl}:g/Z B=n90XO | 图7. 字母F在视网膜上颜色分析 vdgK3I 脚本代码 VK*`&D<P i ?M-~EKu Option Explicit 'Remove this to enable non-dimensioned variables to be used. b+ycEs=_ eHs38X Dim entity As T_ENTITY <+q`Dk Dim op As T_OPERATION NrXIaN Dim mat As T_MODELMATERIAL \ILNx^$EL Dim A As Double '&,p>aM Dim pupilDiam As Double :/5GHfyj Dim eID As Long ic!% } S? Dim parID As Long }AB_i'C0 Dim count As Integer DBaZ cO(U Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double uK(]@H7~!c Dim tlens As Double, nlens As Double (n>Gi;u(R Dim curv As Double, conic As Double `p* 43nV Dim ok As Long J%r:"Jm[y1 AD`5:G Sub Main Uvc$&j^k m='}t \= '用户输入对话框 {j`8XWLZZN Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 S},Cz TextBox 220,21,40,21,.TextBox1 'default: 0 ^J hs/HV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 k\SqDmv OKButton 40,91,90,21 rA?<\* CancelButton 190,91,90,21 T_UJ?W Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (j@c946z"" TextBox 220,49,40,21,.TextBox2 'default: 4 JCBX?rM/ End Dialog O"o|8
l}M/ Dim dlg As UserDialog #*y.C[^5{ uZ3do|um ok = Dialog (dlg) @VIY=qh M1NdlAAf If ok=0 Then 'cancel button was pressed ??.aLeF& Print "Execution cancelled." |X XO0 End J|
wk})? End If hPz=Ec<zW WH39=)D%u 'Assign accommodation and pupil diameter & use defaults if field left empty ,66(*\xT If dlg.TextBox1 = "" Then p&<n_b A = 0 'Default accommodation d(RMD Else C:^
:^y A = CDbl(dlg.TextBox1) V*2*5hx End If k1yqerA <{;'0> ToM If dlg.TextBox2 = "" Then r9M3rj] pupilDiam = 4 'Default pupil diameter ?Q"<AL>Z Else 7\yh(+ kN pupilDiam = CDbl(dlg.TextBox2) -
uO(qUa# End If 4B[pQlg
T;{}bc&I Print " " ?,v&
o>* Print "Accommodation = " & A & " Diopters" Ho*B<#&(A| Print "Pupil Diameter = " & pupilDiam & " mm" WwWOic2 G~u$BV' ' Calculate new parameters with accommodation <<gW`KF
taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;3& wO~lW >)*d/ ^ Rant = 12.0 - 0.4*A 'Radius of anterior lens gs i2 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens *5s*-^'#! ]:2Ro:4Yv Rpost = -5.224557 + 0.2*A 'Radius of posterior lens baTd;`Pn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens "x;FE<I @mg5vt!$` tlens = 3.767 + 0.04*A 'Lens thickness SQU@JKi;g 1uKIO{d@ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Ho(}_Q& m;xa}b{(i 'Adjust parameters to account for accommodation A-L)2.M (gvnIoDl0 '************************************************************************* o2$A2L9P 'Aqueous thickness (Position of Lens) ZR|s]' '************************************************************************* Wql=PqF eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1TfFWlf[B GetCustomElement eID, entity ~~"U[G1 |=VWE>g parID = FindFullName( "Geometry.Arizona Eye" ) Ny`SE\B+/ |cuKC \ ' Delete any shift(s) in z jJvd!,=) count = 0 @QnKaZ8jW While GetOperationCount(eID)>count 1\/vS$bi( GetOperation eID, count, op Si23w'T If op.Type="ShiftZ" Then ]Y->EME:W DeleteOperation eID,count =I&BO[d count=count-1 v5?)J91 End If }c=Y<Cdh
count=count+1 [z7]@v6b Wend zd$iDi($ `e7vSp 'Set new shift in = 4|"<8' op.Type = "ShiftZ" &jg>X+; op.val1 = taq ]0(ZlpT op.parent = parID S_??G:i AddOperation eID, op pV:44 Print "Set aqueous humor thickness = " & taq-0.55 wM;=^br MZX@Gi<S[ '************************************************************************* &E!m(|6?+ 'Radius and conic constant of anterior lens B 2_fCSlg '************************************************************************* ,.=7{y~ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?/@XJcm+ GetConic eID, entity, curv, conic ;.$vDin6 HKOSS-`5 SetConic eID, entity, 1/Rant, CCant x2b
t^!t. Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant MX!N?k#KhP *YQXxIIq '************************************************************************* ZtGkMd$ 'Radius and conic constant of posterior lens ,|zwY~lt5 '************************************************************************* /9D
mK%d eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ho&f[T( GetConic eID, entity, curv, conic |?f~T"|> ^K~=2^sh SetConic eID, entity, 1/Rpost, CCpost i"DyXIrk2 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 6y?uH;SL 0d~?|Nv - '************************************************************************* [(8s\>T 'Lens thickness (Position of posterior lens surface) H#nJWe_9A '************************************************************************* &g*1 If mB
bGj3u; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) J=O_nup6C G$/Qcr6W< ' Delete any z-shift(s) g86^Z%c(k count = 0 :Us+u-~ While GetOperationCount(eID)>count x @9rc,by GetOperation eID, count, op q!5`9u6 If op.Type="ShiftZ" Then !@T~m1L
eY DeleteOperation eID,count z<yqQ[ count=count-1 v`7~#Avhz End If Fy6Lz.baB count=count+1 (Nf!E[}Z Wend Ck/w:i@>? @qA11C.hq 'Set new z-shift
jEP'jib% op.Type = "ShiftZ" i{HzY[ op.val1 = tlens gKWUHlQY op.parent = parID :2A-;P4 AddOperation eID, op ):L0{W{ Print "Set lens thickness = " & tlens 3|URlz zE}ry!{ '************************************************************************* {e[~1]j3 'Lens index of refraction 9r8bSV3` '************************************************************************* 6s!=de eID = FindMaterial( "Lens" ) A*]sN8 GetModelMaterial eID, mat ojIGfQV `'bu8JK mat.Nd = nlens <hgfgk7< SetModelMaterial eID, mat N{Pa&/V Print "Set lens index of refraction = " & nlens zrC1/%T Je K0>< '************************************************************************* I "R<XX 'Pupil diameter kidv^`.H$w '************************************************************************* m^tf=O< eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) #Qu|9Q[QH 9wC=' 'Adjust pupil diameter (trimming volume inner hole) PvxU. G/1V4-@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]0}NF og*ti!Z ' Adjust pupil location to just in front of the lens `@<)#9'A parID = FindFullName( "Geometry.Arizona Eye" ) eQ=6< ^KZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) )@.0ai count = 0 U[ogtfv`m While GetOperationCount(eID)>count Jb7^'P GetOperation eID, count, op [bBPs&7u If op.Type="ShiftZ" Then !}"P Hby5N DeleteOperation eID,count 2P|j<~JS count=count-1 t6%zfm
End If j4(f1 count=count+1 'H1k Wend sA,2gbW op.Type = "ShiftZ" I$fm"N op.val1 = taq-0.01 .;:dG op.parent = parID Z,,q mwd AddOperation eID, op RAxp2uif ipRH.1= Print "Set pupil diameter = " & pupilDiam *Oh]I|? z&.F YGq} 'Update AZ Eye subassembly Description lBG"COu eID = FindFullName( "Geometry.Arizona Eye" ) ,@8*c0Y~<! GetEntity eID, entity e{ZS"e`! entity.Description = "Accommodation = " & A & "D" `] Zil8n SetEntity eID, entity 4tp} c 1{nOx Update };>~P%u32 Print "DONE!" ~8lB#NuN t8 ~isuiK End Sub %^;rYn3 R w!_j! 如果屈光度是4,光瞳直径是4,则会输出如下数据: Xc
G 6[a;83 Accommodation = 4 Diopters |Tk'H& Pupil Diameter = 4 mm 7)x788Z6 Set aqueous humor thickness = 2.81 +,4u1`c|$ Set anterior lens radius = 10.4 and conic constant = -2.375869 )JR& Set posterior lens radius = -4.424557 and conic constant = -3.081019 s)kr=zdyo Set lens thickness = 3.927 A+"'8%o9} Set lens index of refraction = 1.42672 $69d9g8-(! Set pupil diameter = 4 ByjgM` DONE! FMqes5\ 3 W`jKe-jF (文章来源:讯技光电)
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