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简介 Vjp1RWb EwC{R` 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。 p&bROuw<T -vR5BMy= 模型 C|).;V& rrqR}}l 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。 PHXZ=A+ 9~mh@Kgv Table 1. AZ眼睛模型的定义 n%C>E.Tq 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. &d+Kg0 : v99B7VH4 光源 3z)Kz*xr B~JwHwIhA 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。
$.PuK~} P&)xz7wG YoZFwRQU 图1. 光源和提示信息使用 ,dov<U[ia 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 o-{[|/)Tk P+PR<ZoI{f 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 7;sj%U^'l -pa )K"z 图2. 字母F光源的设定方法光 Z
X(z;|l45 qnJt5 图3. 字母F在视网膜上位置点列图 6@e+C;j= 视网膜的散射 9S7kUl{ VsgE!/>1 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 jN>{'TqW4 [t7]{d* )5%'.P> 图4. 视网膜朗伯散射设定 fA<[f 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 z4+k7a@jn TRQF^P3o ^G.Xc\^w: 图5. 视网膜重点采样规格设定 OK6]e3UO 脚本 =aj/,Q] 8lb%eb]U 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: W?aI|U1 S\5bmvqP" 图6. 用户对话框的创建与编辑 4.h=&jz& 图7. 用户对话框编辑器 pr#z=vqH 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 J'fQW<T4wU 余下的脚本计算与屈光度有关的所有参数。 `'c_=<&n |8=nL$u 分析 'fF;(? 4%}*&nsI-Z 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ]*FVz$>XM n\5RAIg 图7. 字母F在视网膜上颜色分析 tqeZ#w7 脚本代码 7L@K _ZJ T/xp?Vq6/ Option Explicit 'Remove this to enable non-dimensioned variables to be used. Tekfw &)vC;$vD` Dim entity As T_ENTITY H nUYqhZS Dim op As T_OPERATION ?)[EO(D Dim mat As T_MODELMATERIAL C;`XlQG ` Dim A As Double w{uuSe Dim pupilDiam As Double a,+@|TJ,i Dim eID As Long %Gj8F4{ Dim parID As Long c`WHNky%j Dim count As Integer 1~ t{aLPz Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double k^%B5 Dim tlens As Double, nlens As Double ;M#_6Hd?qD Dim curv As Double, conic As Double @@rEs40 Dim ok As Long pT1[<X!<s OD 3f.fT Sub Main vab@-=%k 6{+{lBm=y '用户输入对话框 *U$!I?
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 *gF<m9& TextBox 220,21,40,21,.TextBox1 'default: 0 E)7F\ w Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 'd&0Js$^ OKButton 40,91,90,21 4e;yG> CancelButton 190,91,90,21 @qjfZH@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 eKz?"g/j TextBox 220,49,40,21,.TextBox2 'default: 4 HXYRH End Dialog ^Q ps>A( Dim dlg As UserDialog ,4,V4 N Fxqp-}: ok = Dialog (dlg) *^wB!{.# Ra/Ukv_ v If ok=0 Then 'cancel button was pressed !\#_Jw%y Print "Execution cancelled." )0e2ic/ End _s$_Sa ; End If P<2+L|X?} <ggtjw S 'Assign accommodation and pupil diameter & use defaults if field left empty 6uKMCQ=h If dlg.TextBox1 = "" Then -0eq_+oQ A = 0 'Default accommodation npyAJp Else A@D2+fS A = CDbl(dlg.TextBox1) [NIlbjYH End If f%)zg(YlO %#Z/2<_ If dlg.TextBox2 = "" Then RQB]/D\BO pupilDiam = 4 'Default pupil diameter )VK }m9Ae Else l?DJJ|> O pupilDiam = CDbl(dlg.TextBox2) 7Irau_ End If k@D0 {z 1s*.A6EP" Print " " JwRF(1_sM Print "Accommodation = " & A & " Diopters" ?D)<, Print "Pupil Diameter = " & pupilDiam & " mm" :@xm-.D M9f?q.Bv ' Calculate new parameters with accommodation pdb1GDl0q taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness -l-E_6|/W ^*= 85iyo Rant = 12.0 - 0.4*A 'Radius of anterior lens r-IVb&uFb CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens "ZHtR/; W85@v2b Rpost = -5.224557 + 0.2*A 'Radius of posterior lens C*te^3k>B CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens !.<T"8BUpv j ! NO|&k tlens = 3.767 + 0.04*A 'Lens thickness \^K&vW; q7m6&2$[ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Ei3zBS?J) $W42vjr4 'Adjust parameters to account for accommodation Grz 3{U (9mM kU= '************************************************************************* F;!2(sPS 'Aqueous thickness (Position of Lens) LsGiu9~S '************************************************************************* o1OBwPj
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) .LRxP#B GetCustomElement eID, entity -g/hAxb5 s;YKeE!8 parID = FindFullName( "Geometry.Arizona Eye" ) x/MZ(A%D ;C/bJEgdd ' Delete any shift(s) in z PS" .R_" count = 0 QIn/,Yd While GetOperationCount(eID)>count ?Jusl8Sm GetOperation eID, count, op Ti;Ijcq8 If op.Type="ShiftZ" Then Lx U={Y0 DeleteOperation eID,count _0 snAt^iC count=count-1 hc$@J}` End If aSYs_?&. count=count+1 ]Lqt(c Wend rn:!dV[ yWHiw< 'Set new shift in i~{
_eQV op.Type = "ShiftZ" 5lJ)(|_ op.val1 = taq W;Jx<-#1 op.parent = parID L1)@z8] AddOperation eID, op 8Chu"PM%-J Print "Set aqueous humor thickness = " & taq-0.55 V5GkP1L qkP/Nl. u '************************************************************************* dYojm1MQ 'Radius and conic constant of anterior lens \H5Jk$* '************************************************************************* N<_Ko+VF eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 2#/p|$;Ec' GetConic eID, entity, curv, conic <<|H=![ )06iV SetConic eID, entity, 1/Rant, CCant w.+Eyu_I\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant lZt(&^T <3O T>E[ '************************************************************************* ;ggy5?>Qu 'Radius and conic constant of posterior lens vV`|!5x '************************************************************************* bYh9sO/l eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) g.#+z'l GetConic eID, entity, curv, conic |AH@ EI> -lRhz!E] SetConic eID, entity, 1/Rpost, CCpost _NdLcpBT? Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost JK~ m(oQ ~j @UlP '************************************************************************* bn 4
&O 'Lens thickness (Position of posterior lens surface) 4W\,y_Q o '************************************************************************* 8!h'j MdhT!? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ^,2c- ?9u4a_x ' Delete any z-shift(s) 0%)5.=6 count = 0 ]s|lxqP While GetOperationCount(eID)>count CYB=Uq, GetOperation eID, count, op `:-J+<` If op.Type="ShiftZ" Then H]qq ~bO[ DeleteOperation eID,count %f[Ep 3D count=count-1 ?:|YGLaB End If R~B0+ :6 count=count+1 I Ru$oF} Wend bGh0<r7R fEu9Jk 'Set new z-shift 1BD6l2y op.Type = "ShiftZ" ^w6eWzI op.val1 = tlens ,p,Du
F op.parent = parID A"/aGCG0z AddOperation eID, op WhUa^ Print "Set lens thickness = " & tlens Xn7[n .9\Cy4_qSd '************************************************************************* D$_8rHc\A 'Lens index of refraction q?VVYZXP '************************************************************************* .wFU:y4r eID = FindMaterial( "Lens" ) ?2~U2Ir]: GetModelMaterial eID, mat oa9)Dv uU+s!C9r mat.Nd = nlens $ WFhBak8 SetModelMaterial eID, mat /;UTC)cJ Print "Set lens index of refraction = " & nlens tm xP Oe PbUI!Xqe` '************************************************************************* Nz]aaoO4 'Pupil diameter ti;%BS '************************************************************************* S_!R^^ySG9 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *Pb.f >1XL;)IL> 'Adjust pupil diameter (trimming volume inner hole) )b9I@)C UIw?;:Y SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" mahi7eU
P *Ypq q ' Adjust pupil location to just in front of the lens !\w\ ]7ls parID = FindFullName( "Geometry.Arizona Eye" ) #6FaIq92V eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) z`9l<Q/ count = 0 :Ba-u While GetOperationCount(eID)>count chwh0J; GetOperation eID, count, op
,(hY%M&\ If op.Type="ShiftZ" Then u-/3(dKt DeleteOperation eID,count er\:U0fr#@ count=count-1 `]yKM0 Z End If `1p?*9Ssn count=count+1 }@4|7 Wend vj@V
!j? op.Type = "ShiftZ" >\-3P$ op.val1 = taq-0.01 y%g`FC op.parent = parID ,yi2O]5e>! AddOperation eID, op 9t\
[N/ i~AJ.@
#
Print "Set pupil diameter = " & pupilDiam o;'4c K-Y*T}? 'Update AZ Eye subassembly Description j)<[j&OWw eID = FindFullName( "Geometry.Arizona Eye" ) ]J~g'"> GetEntity eID, entity 7#/|VQX<A entity.Description = "Accommodation = " & A & "D" [b pwg&Oo SetEntity eID, entity W) C_89YFn+ Update Bzm.X=U: Print "DONE!" k%a?SU<f $ACe\R/% End Sub {N@Y<=+: K/A ? ]y 如果屈光度是4,光瞳直径是4,则会输出如下数据: Uc>LFX&
-B 0<"tl0p_ Accommodation = 4 Diopters 4]M =q{ Pupil Diameter = 4 mm vD"_X"v Set aqueous humor thickness = 2.81 A9.;>8!u Set anterior lens radius = 10.4 and conic constant = -2.375869 +"G( Set posterior lens radius = -4.424557 and conic constant = -3.081019 BfEx'C Set lens thickness = 3.927 i&B?4J) Set lens index of refraction = 1.42672 .k|-Ks|d| Set pupil diameter = 4 A< |