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简介 ~ya@ YP]'; O/Mx$Q3re 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 " 3tk"#.# (8Q*NZ 模型 12LGWhDp Xv2Q8-}w 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ,~*pPhQ8m X|4_}b> x Table 1. AZ眼睛模型的定义 1+v!)Y>Z& 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. [ XBVES8 uy rS6e0 光源 %4^NX@1jV 9CPr/q9' 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 AQjf\i oef] RN"Ur'+ 图1. 光源和提示信息使用 O#n=mJ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 p(fL'
J :rSCoi>K 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 2g
HRfTF w)Z-, J 图2. 字母F光源的设定方法光 bzyy;`;6Q~ l]~mB~ 图3. 字母F在视网膜上位置点列图 bx:j`5Uj` 视网膜的散射 yn|U<Hxl~H 9}$'q$0R] 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 o2R&s@%0@B PrvV]#O* o:PdPuZVR 图4. 视网膜朗伯散射设定 qZYh^\ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 :=?od
0]W ]PQ6 em ZmAo9>'Kg 图5. 视网膜重点采样规格设定 {4>N2mP{M 脚本 Xk`' m[ p-kug]qX 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: e/R$Sfj] V6kJoSyde 图6. 用户对话框的创建与编辑 8A: =#P^O\ 图7. 用户对话框编辑器 <2t%<<% 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。 Ma^}7D
/ 余下的脚本计算与屈光度有关的所有参数。 ,m[#<}xXA >l^[73,]L 分析 ImsyyeY] "L+NN| 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
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:X 9_~ 图7. 字母F在视网膜上颜色分析 !|~yf3 脚本代码 l,ic-Y1 ?U3~rro! Option Explicit 'Remove this to enable non-dimensioned variables to be used. R c $_O;yz Dim entity As T_ENTITY KZ 4G" Dim op As T_OPERATION t#2szr+ Dim mat As T_MODELMATERIAL D-Q54 "^3 Dim A As Double @me ( pnD Dim pupilDiam As Double ^?S lM Dim eID As Long Cuc+9 Dim parID As Long 9`cj9zz7 Dim count As Integer ."j=s#OC( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double gg@Ew4L& Dim tlens As Double, nlens As Double (l}nwyh5 Dim curv As Double, conic As Double o3Z<tI8-V Dim ok As Long E=]$nE]b nZ4@g@e2 Sub Main 4F,RlKHBl -IS$1 '用户输入对话框 ^zKP5nzL Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \RmU6(;IQ TextBox 220,21,40,21,.TextBox1 'default: 0 nG7E j#1 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 q3ebps9^ OKButton 40,91,90,21 qRCUkw} fs CancelButton 190,91,90,21 T1c&3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3w8v.J8q TextBox 220,49,40,21,.TextBox2 'default: 4 Z9zsvg End Dialog P.3kcZ Dim dlg As UserDialog +kx#"L: H(DI /"N ok = Dialog (dlg)
QJ,~K&? +<'>~lDg If ok=0 Then 'cancel button was pressed b$Q#Fv&P Print "Execution cancelled." ?3do-tTp End nQ;M@k&9eV End If NW~`oc)NS 1 }_"2 'Assign accommodation and pupil diameter & use defaults if field left empty 8xx2+ If dlg.TextBox1 = "" Then F@1Eg A = 0 'Default accommodation ;eC8|
Xz Else M<ba+Qn$ A = CDbl(dlg.TextBox1) <AB({( End If QxiAC>%K aPHNX) If dlg.TextBox2 = "" Then
LDdgI pupilDiam = 4 'Default pupil diameter J )UCy;Y Else K}tC8D pupilDiam = CDbl(dlg.TextBox2) C:RA( End If jBJ|%KM v\-7sgZR Print " " R2y~+tko? Print "Accommodation = " & A & " Diopters" -NUA Print "Pupil Diameter = " & pupilDiam & " mm" ^\w!D{Y7Q <1E5[9
q ' Calculate new parameters with accommodation ^`f qK4< taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness @UW*o&pGqL &'c&B0j Rant = 12.0 - 0.4*A 'Radius of anterior lens 5$c*r$t_RK CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens w5q'M JxlZ,FF$@ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens nw=:+? CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens gCaxZ~o :)kWQQ+, tlens = 3.767 + 0.04*A 'Lens thickness B dxV [SF Z;cA_}5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction {$'oKJy* .:iO$wjp5 'Adjust parameters to account for accommodation 8YO` TgW T<U_Iq '************************************************************************* uOb}R 'Aqueous thickness (Position of Lens) y>&
s; '************************************************************************* Duq.`XO eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #./8inbG GetCustomElement eID, entity 7%i6zP/a 3 H`ES_JL parID = FindFullName( "Geometry.Arizona Eye" ) OGPrjL+ #X*=oG ' Delete any shift(s) in z wcW}Sv[r count = 0 59k-,lyU, While GetOperationCount(eID)>count <'vtnz GetOperation eID, count, op 0|FQIhVuY If op.Type="ShiftZ" Then +uMK_ds~ DeleteOperation eID,count +g%Ah count=count-1 'Xg9MS& End If ^o Q^/v~ count=count+1 *[tLwl. Wend F*=}}H/ D"X`qF6U7 'Set new shift in |],ocAN{ op.Type = "ShiftZ" %
r0AhWv op.val1 = taq 5/i]Jni op.parent = parID wZ/b;%I! AddOperation eID, op ig4mj47wJ Print "Set aqueous humor thickness = " & taq-0.55 'V}4_3#q bP{uZnOM2P '************************************************************************* jWh}cM= 'Radius and conic constant of anterior lens XVYj
X '************************************************************************* .%_=(C<E eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Yn8aTg[J GetConic eID, entity, curv, conic s^GE>rf K b
z|h,< SetConic eID, entity, 1/Rant, CCant k9iB-=X?4s Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant E 7"`D\* FyA0" '************************************************************************* d?4-"9Y 'Radius and conic constant of posterior lens +EM^ '************************************************************************* B{ cb'\C eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) I->4Q&3 GetConic eID, entity, curv, conic "K#zY~>L m]/sR3yF SetConic eID, entity, 1/Rpost, CCpost sF p% T4j Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost {Zf 9}
!qF 9l}G{u9a '************************************************************************* N6!$V7oT 'Lens thickness (Position of posterior lens surface) Hs(U|BXU '************************************************************************* ^4{"h -Ps kUl' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) pSS8 %r%S' b!z kQ?h ' Delete any z-shift(s) aaFt=7(K count = 0 ?Z"<&tsZ While GetOperationCount(eID)>count %Su, GetOperation eID, count, op ,\D*=5 If op.Type="ShiftZ" Then pFwhvw DeleteOperation eID,count `h$^=84 count=count-1 NSQ#\:3:S End If a
VIh|v count=count+1 Wh1'?# Wend OLyl.#J #~6au6LMC 'Set new z-shift | gP%8nh'C op.Type = "ShiftZ" G*rlU op.val1 = tlens !Bn,f2 op.parent = parID ;<nQl,2N AddOperation eID, op T7j,%ay9 Print "Set lens thickness = " & tlens ,=`iQl3(y/ T&s}~S=m '************************************************************************* S/x CX! 'Lens index of refraction ,2lH*=m; '************************************************************************* Ep1p>s^ eID = FindMaterial( "Lens" ) w*B4>FYg GetModelMaterial eID, mat ?m dGMf) gR@,"6b3 mat.Nd = nlens %q_b\K SetModelMaterial eID, mat 5DnX8t+d Print "Set lens index of refraction = " & nlens Ys@G0}\3G x4;ndck%U '************************************************************************* [M&.'X 'Pupil diameter eTZ2f '************************************************************************* jQ9i<-zc eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) */A ~lR| z;6,, 'Adjust pupil diameter (trimming volume inner hole) 70yM]C^ c^`(5}39v SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Yo[Pu< zR _4~q&?}V ' Adjust pupil location to just in front of the lens QLOcgU^ parID = FindFullName( "Geometry.Arizona Eye" ) =Bb/Y`Q eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) {qL}:ha? count = 0 8&UwnEk< While GetOperationCount(eID)>count s!WI:E7 GetOperation eID, count, op l$3YJ.n|s~ If op.Type="ShiftZ" Then "wj-Qgz DeleteOperation eID,count n+:}pD count=count-1 Wtqv End If 1eMz"@Q9 count=count+1 hO0g3^ Wend tW}At op.Type = "ShiftZ" 6tv-PgZ op.val1 = taq-0.01 m!_*Q op.parent = parID vDcYz, AddOperation eID, op -1c{Jo &~#y-o" Print "Set pupil diameter = " & pupilDiam !TeI Jm/l &20}64eW% 'Update AZ Eye subassembly Description _Sn45h@" eID = FindFullName( "Geometry.Arizona Eye" ) tLo_lLn*~% GetEntity eID, entity J0,;F9<C#X entity.Description = "Accommodation = " & A & "D" .ly K
,p SetEntity eID, entity qotWWe# gPw{'7'U Update d.t$VRO Print "DONE!" 10W6wIqK ! ,&{1p End Sub v 5dLjy5 :C9vs 如果屈光度是4,光瞳直径是4,则会输出如下数据: D%!GY1wdn ^Rc*X'Iz(! Accommodation = 4 Diopters [ %6(1$Ih Pupil Diameter = 4 mm -mY,nMDb Set aqueous humor thickness = 2.81 ;T*o
RS Set anterior lens radius = 10.4 and conic constant = -2.375869 k`h#.B J Set posterior lens radius = -4.424557 and conic constant = -3.081019 Ji7<UJ30x Set lens thickness = 3.927 YK%rTbB( Set lens index of refraction = 1.42672 6gTc)rhRT Set pupil diameter = 4 ^b^}6L'Z DONE! i:\|G^h
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