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简介 CNefk$/cR RARA _tii 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 xy]O8>b >]pZ;e$ 模型 mpug#i6q gDVsi 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。 [9${4=Kq b9RHsr]V Table 1. AZ眼睛模型的定义 vII{i 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. Ba@~: \0x>#ygX 光源 T2MC`s|` A{
~D_q 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。 dazNwn $C;i}q# )0-A;X2 图1. 光源和提示信息使用 <7VLUk} 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 m2\\!C]f Vml
6\X 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ZK8)FmT_<O <rj'xv 图2. 字母F光源的设定方法光 K2zln_W #\w N2`" W 图3. 字母F在视网膜上位置点列图 OUi;f_*[r 视网膜的散射 l.o/H| Q38+`EhLA 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 T0tX%_6` Ze~P6 d\JaYizp 图4. 视网膜朗伯散射设定 k_,7#:+ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 =G:Krc8w@ N!(mM;1X) G0UaE1n 图5. 视网膜重点采样规格设定 \Nt
5TG_ 脚本 *'-4%7C`1 x(TF4W=j 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: IQPu%n{0v ,Q-,#C" 图6. 用户对话框的创建与编辑 BA c+T 图7. 用户对话框编辑器 %]_: \! 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 H54RA6$> 余下的脚本计算与屈光度有关的所有参数。 wHj1+W $Y|OGZH8E 分析 _d@YLd78P ^YLC {V 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >K9Ia4I, zWC| Qe 图7. 字母F在视网膜上颜色分析 8OZj24*'DS 脚本代码 $Q/@5f'T`9 eP @#I^_ Option Explicit 'Remove this to enable non-dimensioned variables to be used. v0\l~_|H 2T&MVl!% Dim entity As T_ENTITY Wk0E7Pr Dim op As T_OPERATION qLmzA@Cv Dim mat As T_MODELMATERIAL { LvD\4h" Dim A As Double r%.k,FzGZY Dim pupilDiam As Double }=/zG!+ Dim eID As Long W#F9Qw Dim parID As Long ?XHQdN3e Dim count As Integer D5lQ0_IeW Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double eM<N?9 s Dim tlens As Double, nlens As Double cW:y^(X ii Dim curv As Double, conic As Double >9{?]x Dim ok As Long GOc
;;,7Jon2 Sub Main Me.I>7c duG3-E '用户输入对话框 pN[WYM?[ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ^X96yj'? TextBox 220,21,40,21,.TextBox1 'default: 0 SboHo({5VA Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1C<cwd;9 OKButton 40,91,90,21 f!x9% CancelButton 190,91,90,21 1B4Qj`:+0 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 x(Bt[=,K3 TextBox 220,49,40,21,.TextBox2 'default: 4 6$R9Y.s>Z End Dialog /f#b;qa, Dim dlg As UserDialog ;ek*2Lh CPOHqK`k ok = Dialog (dlg) eN=jWUoCh v&d1ACctJ If ok=0 Then 'cancel button was pressed '#+&?6 p Print "Execution cancelled." Z mJ<h& End OXEEpoU?V End If p3M!H2W ;M3%t=KV 'Assign accommodation and pupil diameter & use defaults if field left empty %zcA|SefP If dlg.TextBox1 = "" Then VE+H! ob
A A = 0 'Default accommodation h$02#(RHJ Else izl6L A = CDbl(dlg.TextBox1) ' h7Faj End If RrMEDMhk6 >jI.$%L$ If dlg.TextBox2 = "" Then 0fOhCxtL@ pupilDiam = 4 'Default pupil diameter }X)vktE+| Else cXb*d|-|N pupilDiam = CDbl(dlg.TextBox2) 1@|+l!rYF End If 4,)9@-|0R UY(T>4H+h Print " " X!]v4ma` Print "Accommodation = " & A & " Diopters" (7R?T} Print "Pupil Diameter = " & pupilDiam & " mm" -Uo11'{ h5P_kZJ ' Calculate new parameters with accommodation qfDG.Zee# taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 8c9HJ9vk { M**a Rant = 12.0 - 0.4*A 'Radius of anterior lens &r1(1< CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens b >D fmW{c mr| Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Jy(G
A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens yx]9rD1cz YlrN^rO tlens = 3.767 + 0.04*A 'Lens thickness ZwUBeyxS=c jYp!?%! nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction i7#4&r 11oNlgY& 'Adjust parameters to account for accommodation L8`v ,:t,$A '************************************************************************* ^^b'tP1> 'Aqueous thickness (Position of Lens) ~Gfytn9x.; '************************************************************************* 1B;2 ~2X eID = FindFullName( "Geometry.Arizona Eye.Lens" ) eh9?GUr5 GetCustomElement eID, entity R;OPY?EeW ^+>*Y=fl parID = FindFullName( "Geometry.Arizona Eye" ) 'n'>+W: aKj|gwo! ' Delete any shift(s) in z mh3S?Uc count = 0 /yI4;:/ While GetOperationCount(eID)>count O*~,L6# } GetOperation eID, count, op gzs\C{4D If op.Type="ShiftZ" Then "6jt$-? DeleteOperation eID,count zH]oAu=H count=count-1 Tx.N#,T| End If ;I4vPh5Q count=count+1 So1TH% Wend *)E${\1' < 5Y *4a%" 'Set new shift in .y
s_'F-]0 op.Type = "ShiftZ" !yd B,S op.val1 = taq |]< 3cW+ op.parent = parID x9 > ho AddOperation eID, op R%jOgZG Print "Set aqueous humor thickness = " & taq-0.55 ga
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P =dAAb\: '************************************************************************* -qP)L;n 'Radius and conic constant of anterior lens &Gt{9# '************************************************************************* j.&dHtp eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) _.JQ h GetConic eID, entity, curv, conic 3'z$@;Ev+ MqZ"Js SetConic eID, entity, 1/Rant, CCant ~0p8joOH Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Jw]!x1rF~ !,`'VQw$ '************************************************************************* hju^x8
,=m 'Radius and conic constant of posterior lens U"r*kO% '************************************************************************* u !BU^@ P eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y+"1'W GetConic eID, entity, curv, conic G=cRdiy`C x {NBhq(4 SetConic eID, entity, 1/Rpost, CCpost PLz{EQ[cV Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost hQ|mow@Zmz Ic0Sb7c '************************************************************************* %tVU Rj 'Lens thickness (Position of posterior lens surface) AY52j '************************************************************************* |?88EG@05 76w[X=Fv parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Tksv7*5$ )Eozo4~ ' Delete any z-shift(s) q9vND[BQ count = 0 !gkr?yhE While GetOperationCount(eID)>count +v
B}E GetOperation eID, count, op 3
`_/h' ~ If op.Type="ShiftZ" Then qraXAQ DeleteOperation eID,count 'UX^] count=count-1 B!+c74 End If R[m-jUL count=count+1 ?$/::uo Wend 7rdmj[vu %NkiY iA 'Set new z-shift )xcjQkb op.Type = "ShiftZ" ;T^s&/>E op.val1 = tlens $[X][[ op.parent = parID )|=1;L AddOperation eID, op ^|MS2' Print "Set lens thickness = " & tlens G u`xJ @K]`!=vUk '************************************************************************* +<\LY(o 'Lens index of refraction kqeEm{I '************************************************************************* xdO3koE: eID = FindMaterial( "Lens" ) ->I.D?p GetModelMaterial eID, mat Cj>HMB} &0T.o,&y mat.Nd = nlens NV./p`k SetModelMaterial eID, mat G
`|7NL Print "Set lens index of refraction = " & nlens --]blP7 gxO~44" '************************************************************************* {gzQ/|}#z- 'Pupil diameter mPA)G,^ '************************************************************************* )cH\i91 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) XgxO:"B 0gqV>: 'Adjust pupil diameter (trimming volume inner hole) 807+|Ol[ bg|$1ue SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" +^9^)Ur| UwW@}cy,L ' Adjust pupil location to just in front of the lens H{=]94 parID = FindFullName( "Geometry.Arizona Eye" ) Pjh;;k|V eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) DQ0S]:tC count = 0 [lIX&!T" While GetOperationCount(eID)>count g}`g>&l5 GetOperation eID, count, op /5E0'y,|P If op.Type="ShiftZ" Then pS8\ B DeleteOperation eID,count f8-`bb count=count-1 YAXd End If {eU>E/SQ count=count+1 #eYYu2ND Wend ;X+0,K3c op.Type = "ShiftZ" ;^:8F op.val1 = taq-0.01 &7'=t6 op.parent = parID i@:^b_ AddOperation eID, op V(cU/Aia^ uyEk1)HC Print "Set pupil diameter = " & pupilDiam Q7u|^Gu,5 %rB,Gl:)g 'Update AZ Eye subassembly Description O$z"`'&j# eID = FindFullName( "Geometry.Arizona Eye" ) \X
%#-y GetEntity eID, entity ;ZB=@@l( entity.Description = "Accommodation = " & A & "D" DvhFCA}z SetEntity eID, entity f IV"U !9gpuS[ Update $-DW+|p.?^ Print "DONE!" g Nz O4`.ohAZ End Sub 8/2Wq~& y:\<FLR}j 如果屈光度是4,光瞳直径是4,则会输出如下数据: .;31G0<w2 :&5u) Accommodation = 4 Diopters e|C2/U- Pupil Diameter = 4 mm )T '?"guh` Set aqueous humor thickness = 2.81 X%-"b` Set anterior lens radius = 10.4 and conic constant = -2.375869 >CG;df<~ Set posterior lens radius = -4.424557 and conic constant = -3.081019 {31X Set lens thickness = 3.927 /7B3z}rd Set lens index of refraction = 1.42672 1f3g5y'z5 Set pupil diameter = 4 zk }SEt- DONE! 8r}tf3xMCM
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