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简介 z.I9wQ]X[ }_68j8` 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。 *VZ5B<Ic ,1"KHv 模型 NSDv;|f _Wa.JUbv 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。 ` 5C~ _> *jH' Table 1. AZ眼睛模型的定义 IyLx0[:U 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. Ez-[
)44/ .uk>QMs1 光源 4tS.G =>! Y{:
y( 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。 RSfzRnhmr : 7`[$<~E [E
] E 图1. 光源和提示信息使用 GHeVp/u 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 x HhN E3iW-B8u8 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 %$Aqle[ =Fr(9( 图2. 字母F光源的设定方法光 byfJy^8G <N9[?g) 图3. 字母F在视网膜上位置点列图 y7i*s^ys{ 视网膜的散射 k4[|'Dk? CtS l 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。 \0f{S40 TTTPxO, #hsx#x|| 图4. 视网膜朗伯散射设定 %GS(:]{n 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。 &@yo;kB ={xE!" rq/I` : 图5. 视网膜重点采样规格设定 D'Y-6W3 脚本 qCnZhJ 9AJ7h9L 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: M!XsJ<jN/ vsl]92xI 图6. 用户对话框的创建与编辑 9^G/8<^^> 图7. 用户对话框编辑器 0PrLuejz 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。 07^iP>? 余下的脚本计算与屈光度有关的所有参数。 }=]M2} @0u~?!g@ 分析 x-?Sn' m [6XF=L,! 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 fV'ZsJ N csW43& 图7. 字母F在视网膜上颜色分析 R'@9]99 脚本代码 J\M>33zu 7*Ej. HK Option Explicit 'Remove this to enable non-dimensioned variables to be used. *5^Q7`` ~,B5Hc 2 Dim entity As T_ENTITY DuHu\>f<S Dim op As T_OPERATION j4R(B Dim mat As T_MODELMATERIAL 4QIX19{" Dim A As Double ?3.b{Cq{- Dim pupilDiam As Double #kaY0M Dim eID As Long --c"0,7 Dim parID As Long "\o+v|; Dim count As Integer Qh'ATo Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;k>&FWEG Dim tlens As Double, nlens As Double m1Mt#@,$ Dim curv As Double, conic As Double @3C>BLI8+ Dim ok As Long wlqpn(XR GfmI<{da Sub Main Tw;3_Lj x?2@9u8Yb '用户输入对话框
`yH<E+ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ;CPr]avY TextBox 220,21,40,21,.TextBox1 'default: 0 )6D,d5< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 O%5
r[ OKButton 40,91,90,21 )]H-BIuGm CancelButton 190,91,90,21 s)6U_ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 l^pA2yh| TextBox 220,49,40,21,.TextBox2 'default: 4 !FElW`F End Dialog a@UZb Dim dlg As UserDialog SfaQvstN %~2YE ok = Dialog (dlg) ~^r29'3 f-`)^5E If ok=0 Then 'cancel button was pressed ZOeQ+j)|I Print "Execution cancelled." J:V6 End )\J+Kiy) End If HiR[(5vnf 5n9B?T8C 'Assign accommodation and pupil diameter & use defaults if field left empty )quM4=u' If dlg.TextBox1 = "" Then eQp4|rf A = 0 'Default accommodation lE&&_INHQ Else 6sx'S?Qa* A = CDbl(dlg.TextBox1) ]dGw2y End If I uMQ9& '+?"iVVo If dlg.TextBox2 = "" Then NnDxq%l% pupilDiam = 4 'Default pupil diameter ?"i}^B`* Else 4'a=pnE$
pupilDiam = CDbl(dlg.TextBox2) y}My.c End If w1OI4C)~ oPXkYW Print " " ujR_"r|l Print "Accommodation = " & A & " Diopters" uao0_swW5 Print "Pupil Diameter = " & pupilDiam & " mm" o7sT=x9 +#lM ' Calculate new parameters with accommodation $Bs {u=+w taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness di6QVRj1 LSGBq Rant = 12.0 - 0.4*A 'Radius of anterior lens ,y
2$cO_> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens $_o-~F2i5 \KQ71yqY Rpost = -5.224557 + 0.2*A 'Radius of posterior lens @Z\,q's CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens -bT)]gA2 a1+#3X. tlens = 3.767 + 0.04*A 'Lens thickness lyy W AGQ#$fh>7= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction T_@K&< r^3acXl
'Adjust parameters to account for accommodation V'8s8H QLEKsX7p> '************************************************************************* \]2]/=2tLd 'Aqueous thickness (Position of Lens) M^r1S '************************************************************************* t<z`N-5* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) MGR!Z@1y GetCustomElement eID, entity PT=2@kH +;N2p1ZBf parID = FindFullName( "Geometry.Arizona Eye" ) uW@oyZUj j.w@(<=x ' Delete any shift(s) in z bm?sbE count = 0 ]B%v+uaW While GetOperationCount(eID)>count zF8dKFE~ GetOperation eID, count, op AX;8^6.F3 If op.Type="ShiftZ" Then f]`#J%P DeleteOperation eID,count njScz"L~ count=count-1 F+,~v- End If '_w=k4 count=count+1 Ma.`A Wend P@$/P99 `e}bdj 'Set new shift in Tx|Ir+f6L op.Type = "ShiftZ" juka0/ op.val1 = taq =BSzsH7 op.parent = parID -@yh>8v AddOperation eID, op Pe3@d|-,MU Print "Set aqueous humor thickness = " & taq-0.55 x(etb<!jd wkA+j9. '************************************************************************* .aAL]-Rj
'Radius and conic constant of anterior lens uxtWybv '************************************************************************* tyXuG< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) )uj Ex7&c GetConic eID, entity, curv, conic Rzbj kP#B5K_U| SetConic eID, entity, 1/Rant, CCant &x[E;P*Fg Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Ox&P}P0f 3D!5T8 @ '************************************************************************* M)'HCnvs' 'Radius and conic constant of posterior lens Bg5Wba%NK '************************************************************************* iOR_[ y, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) dv8>[# GetConic eID, entity, curv, conic !%^^ \, zVXC1u9B SetConic eID, entity, 1/Rpost, CCpost f&eK|7J_Yf Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %QH)' GJQ \
e\?I9 '************************************************************************* {sihus#Q 'Lens thickness (Position of posterior lens surface) Pz>s6 [ob '************************************************************************* @&%'4j&+ i]Fp..`v~ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) K/tRe/t} 4}_j`d/8| ' Delete any z-shift(s) NO|KVZ~ count = 0 lD^]\;? While GetOperationCount(eID)>count LR.Hh GetOperation eID, count, op T]t+E'sQ If op.Type="ShiftZ" Then C8[&S&<_< DeleteOperation eID,count 9o;^[Ql- count=count-1 9xO#tu] End If i@P)a'W_ count=count+1 qfL~Wp2E; Wend SSz~YR^}Sr l>Z5 uSG 'Set new z-shift $FlW1E j op.Type = "ShiftZ" Gb8D[1=u= op.val1 = tlens 0Fk5kGD,&K op.parent = parID [s"O mAy4 AddOperation eID, op }4Tc Print "Set lens thickness = " & tlens bSfpbo4( 9:ze{ c $ '************************************************************************* BGOuDKz9C 'Lens index of refraction UUzYbuS>&l '************************************************************************* g .onTFwN eID = FindMaterial( "Lens" ) XWA:J^ GetModelMaterial eID, mat "}q@Y= W=#:.Xj[ mat.Nd = nlens 2"Ecd SetModelMaterial eID, mat k5D%y3|9 Print "Set lens index of refraction = " & nlens HG+%HUO$ lDOCmdt@N '************************************************************************* 7![,Q~Fy 'Pupil diameter ]$Yvj!K*Q '************************************************************************* [`^a=:* eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) MS\>DW A*2
bA 'Adjust pupil diameter (trimming volume inner hole) &>%T^Y|J4 D}dn.$ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 4a'N>eDR `8^TTQ ' Adjust pupil location to just in front of the lens A6:es_ parID = FindFullName( "Geometry.Arizona Eye" ) zaah^.MA| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) T(f/ ?_% count = 0 K[ (NTp$E While GetOperationCount(eID)>count FrTi+& < GetOperation eID, count, op *a58ZI@ If op.Type="ShiftZ" Then #9X70|f DeleteOperation eID,count
k\WR ] count=count-1 -i)ZQCE End If 3):A count=count+1 ]}U*_rM: Wend Q$HG op.Type = "ShiftZ" {B[=?6tQ op.val1 = taq-0.01 @&X|5p"[g op.parent = parID 'yL%3h
_@ AddOperation eID, op !P)O(i= k9L?+PD Print "Set pupil diameter = " & pupilDiam XmEq2v !q9+9 *6 'Update AZ Eye subassembly Description |2abmuR0 eID = FindFullName( "Geometry.Arizona Eye" ) xYmxc9)2 GetEntity eID, entity W7 Cc entity.Description = "Accommodation = " & A & "D" nq6@6GRG SetEntity eID, entity `}mcEl {5F-5YL+> Update :a$\/E = Print "DONE!" u/M+u; So0f)`A End Sub (CsD*U`h !Cr(Pe] 如果屈光度是4,光瞳直径是4,则会输出如下数据: %@.v2 cT '=Rs/EDME Accommodation = 4 Diopters S,Xnzrz Pupil Diameter = 4 mm cUvz2TK Set aqueous humor thickness = 2.81 Cq%IE^g< Set anterior lens radius = 10.4 and conic constant = -2.375869 *q()f\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 -F<Wd/Xse Set lens thickness = 3.927 3wC' r Set lens index of refraction = 1.42672 vJ'2@f$ Set pupil diameter = 4 Kac' ;1 DONE! 6"~P/\jP a>GyO&+Dkg P/Q!<I QQ:2987619807
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