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简介 97!5Q~I 77Q}=80GU; 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。 9L)L|4A.l @@}`hii 模型 Y<LNQ]8\G .JAcPyK^ 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。 .3wY\W8Dr- Iql5T#K+ Table 1. AZ眼睛模型的定义 0BTLcEqgZ 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. ]\;xN~l 3"rkko?A 光源 Y}.Ystem F?4Sz# 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。 I/s.xk_i $qm~c[x% >XE`h9 图1. 光源和提示信息使用 . U/k<v<)6 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 lrys3 U e*$&VlT 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。 D ,M@8h, '_o@VO 图2. 字母F光源的设定方法光 ^:DyT@hQB5 uO'/|[`8 图3. 字母F在视网膜上位置点列图 \P?A7vuhLs 视网膜的散射 }kPVtSQ D4Sh9:\ 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。 ~A >oO-0K L[C*@
uK Y'N'hRD 图4. 视网膜朗伯散射设定 %f!iHo+Z 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。 H;I~N*ltJ( >saI+u'o 3j*'HST 图5. 视网膜重点采样规格设定 fNoR\5}! 脚本 /77z\[CeYH 7/>a:02 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: J}@GKNm }ND'0*# 图6. 用户对话框的创建与编辑 `-O=>U5nH 图7. 用户对话框编辑器 4v qNule 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。 {L9yhYw 余下的脚本计算与屈光度有关的所有参数。 (=JueF@J /DU*M, 分析 `P.CNYR<J &r@H(}$1\ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 `C'}e n\= (S9 图7. 字母F在视网膜上颜色分析 z5EVG 脚本代码 E5{n?e }1>atgq]w Option Explicit 'Remove this to enable non-dimensioned variables to be used. 3*WS"bt :_H>SR: Dim entity As T_ENTITY %dmfBf Ev Dim op As T_OPERATION Yu3_=:
<C Dim mat As T_MODELMATERIAL `d*b]2 Dim A As Double e2Jp'93o' Dim pupilDiam As Double 0QoLS|voA/ Dim eID As Long h7?.2Q&S Dim parID As Long QymD-A"P Dim count As Integer WQt5#m; W Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double :qnokrGzB Dim tlens As Double, nlens As Double \!w h[qEQ\ Dim curv As Double, conic As Double Yy@g9mi Dim ok As Long AgsR-"uh A&l7d0Z^j5 Sub Main t w!.%_1^ ) `I=oB '用户输入对话框 ,}<RrUfD Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 /*P7<5n0 TextBox 220,21,40,21,.TextBox1 'default: 0 qLRE}$P Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b *9-}g: OKButton 40,91,90,21 O+FBQiv CancelButton 190,91,90,21 a: IwA9!L Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 b42QBTeg TextBox 220,49,40,21,.TextBox2 'default: 4 RbAt3k;y End Dialog /q*KO\L Dim dlg As UserDialog ][t6VA BD'NuI ok = Dialog (dlg) .e$%[)D mJ$Htyr If ok=0 Then 'cancel button was pressed @dV9Dpu Print "Execution cancelled." V6+Zh>'S End A^g>fv
End If " $=qGHA~ !a[$)c 'Assign accommodation and pupil diameter & use defaults if field left empty 6Ahr_{ If dlg.TextBox1 = "" Then ,s? dAy5 A = 0 'Default accommodation +2y&B,L_Wh Else GZ"/k<~0 A = CDbl(dlg.TextBox1) @g\;` #l End If p1^0{ILx qUg9$oh{LI If dlg.TextBox2 = "" Then raHVkE{< pupilDiam = 4 'Default pupil diameter B^m!t7/, Else r=0j7^B# pupilDiam = CDbl(dlg.TextBox2) $rTu6(i1 End If 4k$0CbHx0 0etwz3NuW
Print " " >{F!ntEj Print "Accommodation = " & A & " Diopters" l
$w/Fz Print "Pupil Diameter = " & pupilDiam & " mm" .q inR6= Nm"<!a<F ' Calculate new parameters with accommodation xp=Zd\5W$ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >KHp-|0pv [Q:f-<nH Rant = 12.0 - 0.4*A 'Radius of anterior lens #%WCL'6B CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens g? I!OG +,wWhhvlzv Rpost = -5.224557 + 0.2*A 'Radius of posterior lens U/5$%0) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens f?5A"-NS e&ts\0 tlens = 3.767 + 0.04*A 'Lens thickness 7vq
DZg (GNEYf| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction _<2RYXBC "5(W[$f*]v 'Adjust parameters to account for accommodation
p2^)2v g@(4ujOT '************************************************************************* `fMpV8vv 'Aqueous thickness (Position of Lens) 94YA2_f; '************************************************************************* nqeVV&b! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) HSC6;~U GetCustomElement eID, entity -U:2H7 kkL(;H:% parID = FindFullName( "Geometry.Arizona Eye" ) lfgtcR {l5 FR(QFt!g ' Delete any shift(s) in z R Y9.n count = 0 ( mt*y]p? While GetOperationCount(eID)>count EO"6Dq( GetOperation eID, count, op cTy'JT7 If op.Type="ShiftZ" Then F#KF6)P DeleteOperation eID,count GqMB^Ad count=count-1 s" N\82z) End If yH+c#w count=count+1 I<KCt2:X Wend ,A?{~?u. FF jRf 'Set new shift in V4Qz*z% op.Type = "ShiftZ" [lZ=s[n. op.val1 = taq CMFC"e Se op.parent = parID SNN#$8\ AddOperation eID, op _C5n Apb Print "Set aqueous humor thickness = " & taq-0.55 A`g.[7 _V&x`ks '************************************************************************* r\B"?oqC 'Radius and conic constant of anterior lens /0-\ek ye '************************************************************************* 8,H~4Ce3 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zNwc(( GetConic eID, entity, curv, conic "5y<G:$+~ sN=KR qe SetConic eID, entity, 1/Rant, CCant EFeAr@nj Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant N?zV*ngBS &D^e<j}RQ '************************************************************************* /RMer
Xj 'Radius and conic constant of posterior lens \Me"'.F? '************************************************************************* j+ I*Xw eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) y=wdR|b GetConic eID, entity, curv, conic ss*5.(y Y1|^>C#a SetConic eID, entity, 1/Rpost, CCpost vWuyft* Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost JLml#Pu4 Ls(&HOK[p '************************************************************************* pRb<wt7v 'Lens thickness (Position of posterior lens surface) ?S8$5gA '************************************************************************* oH=4m~'V 5R)[Ou. parID = FindFullName( "Geometry.Arizona Eye.Lens" ) G%Y*q(VrEu raSF3b/0 ' Delete any z-shift(s) p?}&)Un count = 0 )Gmb?!/^ While GetOperationCount(eID)>count X"wFQa GetOperation eID, count, op a!&bc8J7 If op.Type="ShiftZ" Then 80 dSQ"y DeleteOperation eID,count { qjUI count=count-1 xiEcEz'lk End If W%=Zdm
rv count=count+1 \G]K,TG Wend 58 kv#;j I.UjST 'Set new z-shift EkDws`@ op.Type = "ShiftZ" ,#=eu85' op.val1 = tlens $tEdBnf^ca op.parent = parID kja4!_d AddOperation eID, op u4@, *tT Print "Set lens thickness = " & tlens u6]gQP">I N!]PIWnC '************************************************************************* -?[O"D"c 'Lens index of refraction /@6E3lhS '************************************************************************* <1TlW
~q< eID = FindMaterial( "Lens" ) ux%&lff GetModelMaterial eID, mat eog\pMv Oib[\O7[z mat.Nd = nlens 'W}~)+zK SetModelMaterial eID, mat pHigxeV2 Print "Set lens index of refraction = " & nlens w{RNv%hJ$= 8moUK3w '************************************************************************* Pv^(Q] 'Pupil diameter v`@5enr '************************************************************************* ;O Q#@|D eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) <WO&$& f34_?F<h 'Adjust pupil diameter (trimming volume inner hole) CX1L(Y[ F">Nrj-bs SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" tq2-.]Y@U t`N
">c" ' Adjust pupil location to just in front of the lens b5lk0 jA parID = FindFullName( "Geometry.Arizona Eye" ) SJso'6 g eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) [Od>NO,n+] count = 0 BERn _5gb While GetOperationCount(eID)>count "bv,I-\ GetOperation eID, count, op p7%0hLW If op.Type="ShiftZ" Then Xw&QrTDS` DeleteOperation eID,count SD)5?{6< count=count-1 Bu*W1w\ End If !#}v:~[A count=count+1 rhlW Wend nXx6L!H J# op.Type = "ShiftZ" >xhd[ op.val1 = taq-0.01 67Af} >Q op.parent = parID W;xW:
- AddOperation eID, op O|A~dj` s:-8 Z\, Print "Set pupil diameter = " & pupilDiam Zkwy.Hq^ x@{G(W:W 'Update AZ Eye subassembly Description *+_fP |cv eID = FindFullName( "Geometry.Arizona Eye" ) =; ~%L GetEntity eID, entity u5[1Z|O entity.Description = "Accommodation = " & A & "D" S3%.-)ib SetEntity eID, entity pko!{,c X
,V= od> Update {hW
+^ Print "DONE!" xiOv$.@q .0R/'!e End Sub DTX/3EN rCnV5Yb0O 如果屈光度是4,光瞳直径是4,则会输出如下数据: >Hd~Ca>
[%gK^Zt Accommodation = 4 Diopters g]EQ2g_N1 Pupil Diameter = 4 mm N}.Q%&6: Set aqueous humor thickness = 2.81 .ruz l(6 Set anterior lens radius = 10.4 and conic constant = -2.375869 Thht_3_C,f Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,H#qgnp Set lens thickness = 3.927 $S($97IU= Set lens index of refraction = 1.42672 G#9o? Set pupil diameter = 4 N\CEocU DONE! #z-iL!?
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