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M| fZ0M%f 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。 $c0h.t l_o@miG/ 模型 B8f8w)m \fG#7_wt 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。 #$18*?tLv| C-Q28lD}f Table 1. AZ眼睛模型的定义 iII=;:p 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. W-mQjJ`,B Fv~20G(O 光源 @ ;*Ksy@1O LAB=Vp1y3[ 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。 #Y*X<L WI-&x
' * @ 3Ag( 图1. 光源和提示信息使用 j[`j9mM8 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。 (;T^8mI2 7 HIeJ 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。 hs^zTZ_ 11o.c; 图2. 字母F光源的设定方法光 ]^h]t~ 0z1ifg& 图3. 字母F在视网膜上位置点列图 [pbo4e,4O 视网膜的散射 [<n2Uz7MP $xzAv{ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ]Lf{Jboo 8aK)#tNWN yA)/Q
Yge 图4. 视网膜朗伯散射设定 cpL7!>^= 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 _K]_
@Ivh uatm/o^~, (SpX w,: 图5. 视网膜重点采样规格设定 z* ^_)Z 脚本 R%{<mno/_ Y~c|hfL 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: CAfGH!l! kVkU)hqR 图6. 用户对话框的创建与编辑 MqW7cjg 图7. 用户对话框编辑器 |:nn>E}ZA/ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 0(eBZdRO 余下的脚本计算与屈光度有关的所有参数。 "|EM;o B,?T% 分析 <c2E'U)X |n2qVR, 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 %Qmn-uZ IHB}`e| 图7. 字母F在视网膜上颜色分析 Bal$+S 脚本代码 NP0\i1P>.? J[l7di5 Option Explicit 'Remove this to enable non-dimensioned variables to be used. r(:5kC8K U;YC}r Dim entity As T_ENTITY N-G1h?e4 Dim op As T_OPERATION * aN Dim mat As T_MODELMATERIAL 8[a=OP Dim A As Double qB5j;@r Dim pupilDiam As Double IdzxS Dim eID As Long D9<!mH Dim parID As Long F0GxH? Dim count As Integer p*< 0"0 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double H=<S 9M Dim tlens As Double, nlens As Double 8m-U){r!U^ Dim curv As Double, conic As Double g2BHHL;` Dim ok As Long d(\%Os Z/W:97M Sub Main HHA<IZ#;, o)h_H; '用户输入对话框
CuFSeRe Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 '.on)Zd. TextBox 220,21,40,21,.TextBox1 'default: 0 U_Vs.M.p Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 &q3"g*q OKButton 40,91,90,21 E%yNa]\P CancelButton 190,91,90,21 @Pm>sY}d<I Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N@2dA*T, TextBox 220,49,40,21,.TextBox2 'default: 4 +NeOSQSj End Dialog /$i.0$L
Dim dlg As UserDialog v_BcTzQ0S q8FTi^=Kb ok = Dialog (dlg) rV2WnAb[H& L9r8BK; If ok=0 Then 'cancel button was pressed G/k2Pe{SL Print "Execution cancelled." <lgYcdJ End P0SQr?W End If S'k_olx7 lNy.g{2f<m 'Assign accommodation and pupil diameter & use defaults if field left empty _>5(iDW0 If dlg.TextBox1 = "" Then VyXKZ%\dQ/ A = 0 'Default accommodation VF&(8X\ Else /sUYU(3 A = CDbl(dlg.TextBox1) xu>9(,l End If 2POXj!N ./-5R|fN If dlg.TextBox2 = "" Then [glLre^ pupilDiam = 4 'Default pupil diameter s6H]J{1F Else wVX[)E\J pupilDiam = CDbl(dlg.TextBox2) 8LyD7P1\ End If ]q;Emy HU1h8E$- Print " " O(#)m>A Print "Accommodation = " & A & " Diopters" #pT"BSz] Print "Pupil Diameter = " & pupilDiam & " mm" Pj[PIz l>2E (Y| ' Calculate new parameters with accommodation ({
8-* taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness %<)2/|lCd X@'uy<tI- Rant = 12.0 - 0.4*A 'Radius of anterior lens Ye\rB\- CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens rxVanDb=W cpe+XvBuK Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 4~ q5,^kgB CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens )YYf1o[+ :iK(JE` tlens = 3.767 + 0.04*A 'Lens thickness 8Ry3`ct ++bf#qS<8D nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction LSm$dK J &o|QG 'Adjust parameters to account for accommodation ",p;Sd |+"<wEKI '************************************************************************* bo,_&4? 'Aqueous thickness (Position of Lens) 0m7Y>0wC6T '************************************************************************* QMA%$ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) S$f9m GetCustomElement eID, entity 5<iV2Hx Yab%/z2: parID = FindFullName( "Geometry.Arizona Eye" ) +cD<:"L'g XpIklL7 ' Delete any shift(s) in z O6Vtu Ws% count = 0 b1?#81 While GetOperationCount(eID)>count P]<4R:yb GetOperation eID, count, op `uq8G If op.Type="ShiftZ" Then 8/DS:uM DeleteOperation eID,count y>R=`A1b count=count-1 Ot$-!Y;< End If [=x[ w70 count=count+1 Bt[/0>i Wend 3T31kQv{ ]O Z5fd 'Set new shift in K}2Erm%A@y op.Type = "ShiftZ" AG3>V+k{Lv op.val1 = taq LnFdhrB@x op.parent = parID x*
DarSk AddOperation eID, op "HX<,l8f% Print "Set aqueous humor thickness = " & taq-0.55 }xKP~h'F YSs)HV.8 '************************************************************************* t$+?6E 'Radius and conic constant of anterior lens }Dp*}=?E '************************************************************************* 9lTv
eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ".f ;+wH GetConic eID, entity, curv, conic *xc_k"\
*aX F5S SetConic eID, entity, 1/Rant, CCant -Q2, " Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant > pgX^ ?J'Y& '************************************************************************* DDvh4<Hk 'Radius and conic constant of posterior lens !y#"l$"xK '************************************************************************* +[Dj5~V eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |VKK#J/ GetConic eID, entity, curv, conic oYHj~t {Z{75} SetConic eID, entity, 1/Rpost, CCpost z^KJ*E Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost -)s qc
P -T!f,g3vW '************************************************************************* 6~OoFm5 'Lens thickness (Position of posterior lens surface) g6nkZyw '************************************************************************* p$SX X#d~zk[r2 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5&xB6|k 5NBV[EP ' Delete any z-shift(s) -VZ-<\uH count = 0 3E7ULK While GetOperationCount(eID)>count Ytgcs(
/$ GetOperation eID, count, op -HQQw$ If op.Type="ShiftZ" Then >82@Q^O DeleteOperation eID,count %el"BSB count=count-1 UsgK End If })uGRvz count=count+1 Z/Eb: Wend ]d55m /( QS0:@.}$E) 'Set new z-shift +nUy,S?43 op.Type = "ShiftZ" DvME1]7) op.val1 = tlens z25lZI" X` op.parent = parID QFfK0X8cC AddOperation eID, op k $M]3}$U Print "Set lens thickness = " & tlens 4f@o mAM -8'C\R|J+ '*************************************************************************
h1:aKm! 'Lens index of refraction "ZHW2l Mf '************************************************************************* Cv
}Qwy eID = FindMaterial( "Lens" ) ktI/3Mb@ GetModelMaterial eID, mat Xf0M:\w=M - *F(7$ mat.Nd = nlens YNYx>Ue SetModelMaterial eID, mat !
N|0x` Print "Set lens index of refraction = " & nlens 33jovK2 p/(~IC"!J '************************************************************************* H&F9J^rC 'Pupil diameter ilK-?@u+ '************************************************************************* cQG
+$0( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 1[kMOp O#&c6MDB: 'Adjust pupil diameter (trimming volume inner hole) CxGx8*<X Q=BZ N]g2 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" G,TM-l_uw X_qf"|i ' Adjust pupil location to just in front of the lens YRv&1!VLE parID = FindFullName( "Geometry.Arizona Eye" ) tcI}Ca>u eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) A"`foI$0 count = 0 &P.4(1sC While GetOperationCount(eID)>count "dsU>3u GetOperation eID, count, op +${D If op.Type="ShiftZ" Then 6Z#\CixG DeleteOperation eID,count lJ+0P2@h* count=count-1 *J$=.fF1 End If PpV'F[|,r count=count+1 qZ]pq2G Wend F&])P-
!3 op.Type = "ShiftZ" .udv"?!z op.val1 = taq-0.01 $k0kk op.parent = parID z?>D_NLX6 AddOperation eID, op h8 'v d3 @)-sTgn Print "Set pupil diameter = " & pupilDiam Wqc)Fv70m D6CS8
~" 'Update AZ Eye subassembly Description p>vn7;s2# eID = FindFullName( "Geometry.Arizona Eye" ) !icT/5 GetEntity eID, entity Kk(9O06j entity.Description = "Accommodation = " & A & "D" 'D6T8B4 SetEntity eID, entity aaKN^fi& ;=geHiQHA Update I<Ksi~*i Print "DONE!" Qd=^S^}( 6}4'E End Sub Jo$G,Q \=+b}mKV
m 如果屈光度是4,光瞳直径是4,则会输出如下数据: }K1JU`Lz 3l[McZ Accommodation = 4 Diopters 4Y,R-+f Pupil Diameter = 4 mm 3 N7[.I>A Set aqueous humor thickness = 2.81 0`)iIz Set anterior lens radius = 10.4 and conic constant = -2.375869 so)"4
SEu Set posterior lens radius = -4.424557 and conic constant = -3.081019 I&MY{f Set lens thickness = 3.927 WX}xmtLs Set lens index of refraction = 1.42672 )'/|) Set pupil diameter = 4 @o#!EfZyE DONE! SfJA(v@E zrR`ecC(b ?q(\=;Y QQ:2987619807 6 `Aj%1
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