|
|
简介 #K_ii)n 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。 9rA0lqr]5 ^qvZXb 模型 $lfn(b, $D~0~gn~ 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。 ~f&E7su-6+ w_"E*9 Table 1. AZ眼睛模型的定义 J\}twYty 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. e }?db gS!:+G% 光源 z3{G9Np ]Grek< 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。 ^KnU4sD X&.ArXn* 7JD' ) 图1. 光源和提示信息使用 _P#|IAq* 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。 wy<S; )` Sr fGp8 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。 q<x/Hat) Hs;4lSyUO 图2. 字母F光源的设定方法光 T8?Ghbn imhwY#D 图3. 字母F在视网膜上位置点列图
7~G9'P< 视网膜的散射 pTth}JM> hIYNhZv 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。 v|)4ocFK "=HA Y @(EAq<5{ 图4. 视网膜朗伯散射设定 9d0@wq. 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。 Si4!R+4w 9R!atPz9 gMi0FO' 图5. 视网膜重点采样规格设定 NR$3%0 nC6 脚本 *nT<m\C6 { T/[cu< 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: OR P\b XW2b| %T 图6. 用户对话框的创建与编辑 x /(^7#u, 图7. 用户对话框编辑器 r8t}TU>C 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。 ]6k\)#%2 余下的脚本计算与屈光度有关的所有参数。 hE:9{;Gf 9 &dtd 分析 WMDl=6 /cUO$m o 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 6$hQ35 L8@f-Kk 图7. 字母F在视网膜上颜色分析 ^x ]r`b 脚本代码 ~p6 V,Q %_H<:uGO% Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?d\N(s9F +zqn<<9 Dim entity As T_ENTITY ~f2z]JLr: Dim op As T_OPERATION "`/h#np Dim mat As T_MODELMATERIAL J/`<!$<c Dim A As Double Ot0ap$& Dim pupilDiam As Double Xz6<lLb Dim eID As Long #Qw0&kM7I Dim parID As Long {S]}.7`l9( Dim count As Integer @(w@e\Bq Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +%z>H"J. Dim tlens As Double, nlens As Double U7,e/?a Dim curv As Double, conic As Double Df-DRi Dim ok As Long b}$+H/V f3l&3hC Sub Main 4d4ZT?V[ d UE,U= '用户输入对话框 [C 7^r3w Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 F} yW/ TextBox 220,21,40,21,.TextBox1 'default: 0 )bL'[h Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 R{`(c/%8 OKButton 40,91,90,21 *->W^1eGM CancelButton 190,91,90,21 tPWLg), Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 FW;?s+Uyx TextBox 220,49,40,21,.TextBox2 'default: 4 #b}Z`u?@ End Dialog ];$L &5^ Dim dlg As UserDialog XAKs0*J> _#E0g'3 ok = Dialog (dlg) un"Gozmt5 "m$##X\ If ok=0 Then 'cancel button was pressed tyDU
@M Print "Execution cancelled." q s!j>x End #4NaL End If 8mrUotjS [ZwjOi:) 'Assign accommodation and pupil diameter & use defaults if field left empty VR 8-&N If dlg.TextBox1 = "" Then 0cH`;!MZ A = 0 'Default accommodation s-!ArB, Else ea2ayT A = CDbl(dlg.TextBox1) .WJYQi End If @Sn(lnlB %g$o/A$ If dlg.TextBox2 = "" Then ] )\Pqn( pupilDiam = 4 'Default pupil diameter uk:(pZ-uJ Else :K,i\ pupilDiam = CDbl(dlg.TextBox2) cGzPI+F End If ,.8KN<A2]' dh iuI|?@ Print " " ]L.O8 Print "Accommodation = " & A & " Diopters" @CL{D:d Print "Pupil Diameter = " & pupilDiam & " mm" !X#OOqPr= ]IQ&>z}< ' Calculate new parameters with accommodation #$07:UJ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness X=&ET)8-Y .p3,O6y2(F Rant = 12.0 - 0.4*A 'Radius of anterior lens `:KY\ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens !sP{gi#= &-6Gc;f8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;?iW%:_, CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 20 h, ^ AM \'RHL tlens = 3.767 + 0.04*A 'Lens thickness N/2T[s_& R4cM%l_#W nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction bl;1i@Z*M ^A/k)x6 'Adjust parameters to account for accommodation n0 {i&[I~+ '[:D$q; '************************************************************************* n5NsmVW \x 'Aqueous thickness (Position of Lens) xGg )Y# '************************************************************************* %/.b~|,- eID = FindFullName( "Geometry.Arizona Eye.Lens" ) !9r$e99R GetCustomElement eID, entity `iNSr?N. I"<\<^B< parID = FindFullName( "Geometry.Arizona Eye" ) _C?hHWSf" @o _}g !9= ' Delete any shift(s) in z "?xHlYj@+ count = 0 (m/G(wg While GetOperationCount(eID)>count v>)"HL"XG GetOperation eID, count, op PiIpnoM If op.Type="ShiftZ" Then HCs?iJ DeleteOperation eID,count Jhhb7uU+ count=count-1 )9`qG:b' End If 0R'?~`aTt count=count+1 g|yvF-+ Wend 'Aq{UGN 6ojo :-%Vf 'Set new shift in IueFx u op.Type = "ShiftZ" J @1!Oq> op.val1 = taq .}TZxla0Zr op.parent = parID <uw9DU7G AddOperation eID, op m8hk:4Ae Print "Set aqueous humor thickness = " & taq-0.55 ?mxMk6w X51: '************************************************************************* k"zv~`i' 'Radius and conic constant of anterior lens c9u`!'g`i '************************************************************************* >W+%8e eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) c9 _rmz8 GetConic eID, entity, curv, conic mnX2a }@q`%uzi SetConic eID, entity, 1/Rant, CCant k)=s>&hl Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 051E6- `0gyr(fES '************************************************************************* C1n>M}b 'Radius and conic constant of posterior lens 1 bU,$4 '************************************************************************* @,my7?::oM eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) u^I|T.w<r6 GetConic eID, entity, curv, conic g@!V3V D.u{~ SetConic eID, entity, 1/Rpost, CCpost 0-Ku7<a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost fxHH;hRfv `e&Suyf4B '************************************************************************* L\ "d 'Lens thickness (Position of posterior lens surface) !PQ<04jA! '************************************************************************* +lcbi S g![Lsj parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -zeG1gr3 .|fHy ' Delete any z-shift(s) s-Tv8goNV count = 0 AH7}/Rc While GetOperationCount(eID)>count pO3SUOP GetOperation eID, count, op 5e^ChK0Q If op.Type="ShiftZ" Then 2eY_%Y0 DeleteOperation eID,count jLm ;ty2; count=count-1 ;$wVu|& End If N5
6g+,w%) count=count+1 Fk7')? Wend z$. 88^ u `6:5k 'Set new z-shift &@OT*pNna op.Type = "ShiftZ" =X:Y,? op.val1 = tlens dcN22A3 op.parent = parID N S[l/0F& AddOperation eID, op QlU8uI[dk Print "Set lens thickness = " & tlens :':s@gqr e6$W Qd`O '************************************************************************* \Uq(Zga4) 'Lens index of refraction 33B]RGq '************************************************************************* VjZ|$k eID = FindMaterial( "Lens" ) tg4pyW< GetModelMaterial eID, mat $uVHSH5l . 3T3EX|G mat.Nd = nlens hhc,uJ">! SetModelMaterial eID, mat VuZuS6~#J Print "Set lens index of refraction = " & nlens ;iL#7NG-R =GMkR+<) '************************************************************************* F{;((VboN 'Pupil diameter RMu~l@ '************************************************************************* yYA$I'Bm\ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M%P:n/j >U27];}y 'Adjust pupil diameter (trimming volume inner hole) tl^9WG $B5aje}i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i$6ypuc cI OlhX@ ' Adjust pupil location to just in front of the lens |t#)~Oo parID = FindFullName( "Geometry.Arizona Eye" ) (gWm,fI
RZ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) VTY 5]|; count = 0 R8Fv{7]c While GetOperationCount(eID)>count ;"-&1qHN GetOperation eID, count, op ope^~+c~\ If op.Type="ShiftZ" Then z_4J)?3 DeleteOperation eID,count .Rs^YZ F count=count-1 ?J> End If LBDjIpR6 count=count+1 T!)(Dv8@F Wend MeZf*'
J op.Type = "ShiftZ" r0% D58 op.val1 = taq-0.01 5D//*}b, op.parent = parID `1IgzKL9 AddOperation eID, op ^9:Z7 >Z a~y'RyA Print "Set pupil diameter = " & pupilDiam :nOFR$W }y gD3:vN7 'Update AZ Eye subassembly Description DT&@^$? eID = FindFullName( "Geometry.Arizona Eye" ) LsU9 .
GetEntity eID, entity 5vnrA'BhBU entity.Description = "Accommodation = " & A & "D" <bEbweQrgm SetEntity eID, entity e^1Twz3z &`2)V;t Update #5o(h+w) Print "DONE!" bq0zxg% f
x+/C8GK End Sub -r]W 3eQ&F~S 如果屈光度是4,光瞳直径是4,则会输出如下数据: @_}P-h G2:
agqL/ Accommodation = 4 Diopters NyNXP_8 Pupil Diameter = 4 mm 1tFNM[R
Set aqueous humor thickness = 2.81 )MTOU47U Set anterior lens radius = 10.4 and conic constant = -2.375869 WOL:IZX% Set posterior lens radius = -4.424557 and conic constant = -3.081019 qF;|bF Set lens thickness = 3.927 ?hy& Set lens index of refraction = 1.42672 > /caXvS Set pupil diameter = 4 ]N F[>uiW DONE! &gx%b*;`L0 o0KL5]. (文章来源:讯技光电)
|