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简介 ftb .CPWI 5dvP~sw 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。 D(;jv= "/ o+],L_Ab 模型 VQ R
E] {6I)6}w!k 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。 ,`pUz[wl ut*sx9l Table 1. AZ眼睛模型的定义 BvnNAi 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. \CU-a`n >P9|?:c 光源 /f*QxNZ,p }5Zmc6S{ 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。 ts:YJAu+F qWdob>u gmqL,H# 图1. 光源和提示信息使用 |j2$G~B6 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 E%b*MU nk*T
x 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 N,3 )`Vm MaS-*;BY, 图2. 字母F光源的设定方法光 gLss2i.r B*@0l: 图3. 字母F在视网膜上位置点列图 0Yk$f1g 视网膜的散射 Nx;Oz {3* Ne / 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。 ,
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2>\ TWeup6k 图4. 视网膜朗伯散射设定 6/dP)"a(' 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。 O}-+o 1 vNDf1B5z #rI4\K 图5. 视网膜重点采样规格设定 :!QT , 脚本 Xk(p:^ R Z#t}yC%^d 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: Mp3nR5@d$ h( DmSW 图6. 用户对话框的创建与编辑 8x`EUJ 图7. 用户对话框编辑器 5F78)qu6N 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。 v.6K;TY. 余下的脚本计算与屈光度有关的所有参数。 Vv&GyqoO] 1>=]lMW 分析 j,79G^/YG pf`vH`r 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 n`X}&(O ce<88dL 图7. 字母F在视网膜上颜色分析 2{xf{)hO? 脚本代码 4*&2D-8<K #|QA_5 Option Explicit 'Remove this to enable non-dimensioned variables to be used. U?xa^QVhj MMy\u) 4 Dim entity As T_ENTITY v05$"Ig Dim op As T_OPERATION NydF'N_1 Dim mat As T_MODELMATERIAL Oj>;[O" Dim A As Double Tl
L,dPM Dim pupilDiam As Double RZ0+Uu/J Dim eID As Long AQGl}%k_ Dim parID As Long b?j\YX[e Dim count As Integer v=~+o[ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double d$HPpi1LL Dim tlens As Double, nlens As Double #2dH2k\F Dim curv As Double, conic As Double f~?kx41dq Dim ok As Long xz-?sD/xe fD*jzj7o, Sub Main y-uSpW &9EcgazV '用户输入对话框 Hyb_>n Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 f&I5bPS7} TextBox 220,21,40,21,.TextBox1 'default: 0 48)D%867.; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 cDq*B*e OKButton 40,91,90,21 eyuQ}R CancelButton 190,91,90,21 ;TL>{"z`x Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 6f^IAa| TextBox 220,49,40,21,.TextBox2 'default: 4 +yxL}=4s End Dialog kA/yL]m^S Dim dlg As UserDialog {n{-5Y w7~cY= ok = Dialog (dlg) i|xC#hV ub]s>aqy If ok=0 Then 'cancel button was pressed 0*,]`A= Print "Execution cancelled." GK[9Cm"v End l\37/Z End If ~?Zm3zOCc2 C$d b)5- 'Assign accommodation and pupil diameter & use defaults if field left empty 9vBW CCf If dlg.TextBox1 = "" Then H`4KhdqR A = 0 'Default accommodation };g<|v*o Else _Mi*Fvj A = CDbl(dlg.TextBox1) qS?^(Vt|R End If A}[x))r 3b/J If dlg.TextBox2 = "" Then J;N\q pupilDiam = 4 'Default pupil diameter L0qL\>#ejr Else Q[9W{l+ pupilDiam = CDbl(dlg.TextBox2)
= Atyy End If eMtQa;Lc9o x$z>.4 Print " " ZyV^d3F@$ Print "Accommodation = " & A & " Diopters" +o]J0Gu Print "Pupil Diameter = " & pupilDiam & " mm" GHQm$|3I )3ZkKv;zY ' Calculate new parameters with accommodation !$p E=~1C taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness kBtzJ#j B IeAi ' Rant = 12.0 - 0.4*A 'Radius of anterior lens -YS9u[
CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens PnH5[4&k "(iQ-g Mm Rpost = -5.224557 + 0.2*A 'Radius of posterior lens -PaR&0Tt CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ~&WBA]w'+ sY* qf= tlens = 3.767 + 0.04*A 'Lens thickness w&
)ApfL 5Vr#>W nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction esd9N'.Q* 4!A(7
s4t 'Adjust parameters to account for accommodation ^*F'[!. p 6M[OEI5 '************************************************************************* or(P?Ro 'Aqueous thickness (Position of Lens) v!#koqd1y. '************************************************************************* SmV}Wf eID = FindFullName( "Geometry.Arizona Eye.Lens" ) $U'*}S GetCustomElement eID, entity 'M
fVZho{ vBV_aB1{ parID = FindFullName( "Geometry.Arizona Eye" ) ZQyX zERp *JO%.QNg ' Delete any shift(s) in z ~BgNMO;| count = 0 SqVh\Nn While GetOperationCount(eID)>count :ay`Id_tm GetOperation eID, count, op T3t
w.yh If op.Type="ShiftZ" Then 7)BK&kpVr DeleteOperation eID,count [f?x,W~ count=count-1 |Ew&. fgz End If Y]Zp[! count=count+1 |AS9^w Wend {( Ba Y ^5RM 'Set new shift in =cI> { op.Type = "ShiftZ" 'JJ : op.val1 = taq :q$.=?X3 op.parent = parID a[J_H$6H! AddOperation eID, op 4
;^ Print "Set aqueous humor thickness = " & taq-0.55 .#LHj}u o[g]Va*8 '************************************************************************* Vg7BK% 'Radius and conic constant of anterior lens ,D' bIk '************************************************************************* -ug-rdXV eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) # (-?i\i GetConic eID, entity, curv, conic 58]t iP" G%T<wKD< SetConic eID, entity, 1/Rant, CCant ODKS6E1{ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant gyobq'o- EE*FvI` '************************************************************************* >[g.8'hI 'Radius and conic constant of posterior lens L"}2Y3 '************************************************************************* cUwR6I9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) T!|-dYYI GetConic eID, entity, curv, conic ygxaT"3"= )jMk~;'r SetConic eID, entity, 1/Rpost, CCpost r|3<UR% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost twp~#s:\z uExYgI`<%& '************************************************************************* Ju_(,M-Vgr 'Lens thickness (Position of posterior lens surface) \7Fp@ .S3 '************************************************************************* US&:UzI. \j0016; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) zS `>65}e 'E cd\p ' Delete any z-shift(s) 21hTun"W count = 0 ;JX2ebx While GetOperationCount(eID)>count A6#v6 iT GetOperation eID, count, op JR|P]} If op.Type="ShiftZ" Then Agwl2AM5k DeleteOperation eID,count L/,M@1@R count=count-1 tw<}7l_>Au End If UbP$WIrq count=count+1 q]v{o8:U Wend :-j/Y'H_ qR^+K@*| 'Set new z-shift u9{Z*w3L7 op.Type = "ShiftZ" (n2=.9k! op.val1 = tlens 1(/rg op.parent = parID `LJ.NY pP AddOperation eID, op FwDEYG Print "Set lens thickness = " & tlens
(!T\[6 z[0t%]7l '************************************************************************* MYUL y2) 'Lens index of refraction `'ak/%Krh '************************************************************************* 7qg. :h eID = FindMaterial( "Lens" ) $~T|v7Y% GetModelMaterial eID, mat nW ]T-! Cp#}x1{ mat.Nd = nlens T>m|C}yy SetModelMaterial eID, mat dEfP272M Print "Set lens index of refraction = " & nlens |qb-iXW= ]GzfU'fOn| '************************************************************************* 9iGp0_J 'Pupil diameter BsYJIKfW '************************************************************************* -V:7j8 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 8VMD304 w=ZK=@ 'Adjust pupil diameter (trimming volume inner hole) 0~cbB 5,du2 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" lv&y<d; |k)Nf+(}W
' Adjust pupil location to just in front of the lens #|6M*;l N| parID = FindFullName( "Geometry.Arizona Eye" ) )"s(;kU! eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) - S%8 count = 0 BSg3 While GetOperationCount(eID)>count IR"=8w#MP GetOperation eID, count, op f:h<tlob If op.Type="ShiftZ" Then ?YnB:z*eV DeleteOperation eID,count G V% @A count=count-1 U
zMIm End If ,>3|\4/Q count=count+1 Uy$?B"Z Wend SoB6F9 op.Type = "ShiftZ" !p3vnOX6 op.val1 = taq-0.01 8&v%>wxR@ op.parent = parID G\
/L.T AddOperation eID, op fCi1JH; - s0QEQ Print "Set pupil diameter = " & pupilDiam 7G23D u=sZFr@m[ 'Update AZ Eye subassembly Description CK1gzIg> eID = FindFullName( "Geometry.Arizona Eye" ) iuEQ?fp GetEntity eID, entity vtXZ`[D,l) entity.Description = "Accommodation = " & A & "D"
ljjnqQ% SetEntity eID, entity EV N:3 .Yxf0y?uv Update ;V4f6[<]'z Print "DONE!" tnC,1HV0[ oqy}?<SQ End Sub "@@Z{ e",0Er FT 如果屈光度是4,光瞳直径是4,则会输出如下数据: =kn-F T 7
JVonruaR Accommodation = 4 Diopters hi9@U]H# Pupil Diameter = 4 mm p}h9>R Set aqueous humor thickness = 2.81 O-]^_LV` Set anterior lens radius = 10.4 and conic constant = -2.375869 %s[
n2w Set posterior lens radius = -4.424557 and conic constant = -3.081019 \_3#%%z Set lens thickness = 3.927 TRQH{O\O Set lens index of refraction = 1.42672 )[5 .*g@ Set pupil diameter = 4 F6-U{+KU$! DONE! [HQ Bx`3TS
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