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简介 wu3p2#-Z 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。 IJBIO>Z/ GriFb]ml" 模型 Muok">#3. XhmUtbs 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。 -o+; e3# 5}:`CC2,S~ Table 1. AZ眼睛模型的定义 V1\Rj0#G 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. s} oD?h:T3 9:7&`JlC# 光源 Q+dLWFI <+:
PTG/(' 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。 R_Uy.0=4 Na<);Pg
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图1. 光源和提示信息使用 !JbWxGN`jn 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。 c"pu"t@/Z ORhvo,.u 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。 I~ e,'] ._6e#=
图2. 字母F光源的设定方法光 |b+CXEzo Y``]66\Fp 图3. 字母F在视网膜上位置点列图 ?L6pB]l8b 视网膜的散射 HJ;!'@ [#;CBs5o 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。 U<wM#l
P|Z +O@|bd\ Tb!jIe 图4. 视网膜朗伯散射设定 :~'R| l 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。 98lz2d/Fcq ageTv/ N;*
wd< 图5. 视网膜重点采样规格设定 F_~A8y 脚本 KdC'#$ QFIYnxY9 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: B[fbP rM f}7/UGd 图6. 用户对话框的创建与编辑 4}Yn!"jW& 图7. 用户对话框编辑器 nTr{D&JS 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。 z|O3pQn~ 余下的脚本计算与屈光度有关的所有参数。 $8>II0C. *@g>~q{` 分析 6@Ir|o 9z7rv, 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 HH|N~pBJB |};-.}u^`h 图7. 字母F在视网膜上颜色分析 LQJC ]*b1 脚本代码 NB3ar&.$S !&R|P|7qN} Option Explicit 'Remove this to enable non-dimensioned variables to be used. )jm!^m =L*-2cE6# Dim entity As T_ENTITY !nTI(-- Dim op As T_OPERATION \ `| Dim mat As T_MODELMATERIAL U$LI~XZM Dim A As Double 4f'!,Q ; Dim pupilDiam As Double ~xf uq{L; Dim eID As Long jz,Gj}3; Dim parID As Long Pp`[E/
qj4 Dim count As Integer TsY
nsLQY Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $.3J1DU Dim tlens As Double, nlens As Double dlBr2 9 Dim curv As Double, conic As Double co{i~['u Dim ok As Long r}-vOPn`E _Q7]Dw/w\ Sub Main HEm XB= ;nKhmcQ4 '用户输入对话框 p']{WLDj2 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 j9&x#U TextBox 220,21,40,21,.TextBox1 'default: 0 u^( s0q Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 t(xe*xS OKButton 40,91,90,21 Xr{
r&Rl CancelButton 190,91,90,21 lF~!F<^9 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 s,-}}6WO TextBox 220,49,40,21,.TextBox2 'default: 4 >Zh^,T={G End Dialog B* k|NZj Dim dlg As UserDialog l f_q6y U_~r0 ok = Dialog (dlg) wQojmmQ ](>YjE0 If ok=0 Then 'cancel button was pressed `:
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]xP Print "Execution cancelled." Vn?|\3KY End pd.5 End If aEdc8i? U9"Ij} 'Assign accommodation and pupil diameter & use defaults if field left empty Dw.Pv)'$ If dlg.TextBox1 = "" Then )|KZGr A = 0 'Default accommodation fkD-mRKw Else `h<>_zpjY A = CDbl(dlg.TextBox1) LXm@h End If cX|(/h,W/ c"zE If dlg.TextBox2 = "" Then 7x.]
9J pupilDiam = 4 'Default pupil diameter '3
JVUHn Else @-.Tgpe@a pupilDiam = CDbl(dlg.TextBox2) '%*/iH6<U{ End If D{^CJ :n ;TboS-Y Print " " 6<No_x |_ Print "Accommodation = " & A & " Diopters" Za7!n{?0 Print "Pupil Diameter = " & pupilDiam & " mm"
!qTP fDwqu.K ' Calculate new parameters with accommodation RM#.-gW taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness a#m T@l\ h&z(;B!;y. Rant = 12.0 - 0.4*A 'Radius of anterior lens 6&,9=(:J&R CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens =r^Pu| 9Rb
tFwbn Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \{ff7_mLo CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vUB*Qm]Y\ *OHaqe(* tlens = 3.767 + 0.04*A 'Lens thickness ,{BF`5bn| a6hDw'8! nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction bP7_QYQ6 _A6e|(.ll 'Adjust parameters to account for accommodation 2E@g#:3 %QQJSake| '************************************************************************* +7j7zpw 'Aqueous thickness (Position of Lens) c? >;UzM '************************************************************************* )No> Q :t eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~2O1$o u GetCustomElement eID, entity v[<;z(7Qk z W*Z parID = FindFullName( "Geometry.Arizona Eye" ) ef:YYt{|q \6vr)1~N> ' Delete any shift(s) in z N9=?IFEe] count = 0 4AYW'j C While GetOperationCount(eID)>count ~Q+J1S]Fs GetOperation eID, count, op `$ZBIe/u If op.Type="ShiftZ" Then eV( DeleteOperation eID,count vd0uI#g%# count=count-1 5N$O End If Z!I#Z2X count=count+1 \{a 64 Wend d ZxrIWx hh<ryuZ 'Set new shift in #*
Iyvx op.Type = "ShiftZ" }W
nvz;]B op.val1 = taq 8Wx7%@^O op.parent = parID `bjPOA(g AddOperation eID, op [wM]w Print "Set aqueous humor thickness = " & taq-0.55 ;bkvdn} lj@ibA] '************************************************************************* d1u6*&@lf 'Radius and conic constant of anterior lens =S|dzgS/ '************************************************************************* cR!Mn$m eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) |[MtUWEW GetConic eID, entity, curv, conic {3K`yDF $uYfy< SetConic eID, entity, 1/Rant, CCant +H
"j-:E@t Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q uiX"lV( hGj`IAW '************************************************************************* ^) 5*?8# 'Radius and conic constant of posterior lens <MgC7S2I '************************************************************************* )\QPUdOvx eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 7X/KQ97 GetConic eID, entity, curv, conic D9higsN ~iU@ns|g\ SetConic eID, entity, 1/Rpost, CCpost aThvq%; Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost @K}Bll.E Frum@n '************************************************************************* G(MLq"R6U 'Lens thickness (Position of posterior lens surface) !">EZX '************************************************************************* W|V9:A $DhW=(YM_a parID = FindFullName( "Geometry.Arizona Eye.Lens" ) i`7:^v; ]ujXPK=t ' Delete any z-shift(s) Lo5CVlK count = 0 lh*!f$2~ While GetOperationCount(eID)>count Sv[$.^mb GetOperation eID, count, op ]TSzT"_r~~ If op.Type="ShiftZ" Then 'rSJ9Mw"x DeleteOperation eID,count Fqg*H1I[ count=count-1 mLH,6rO9 End If G!g];7PG( count=count+1 {i/7Nx Wend O*m9qF< Z>J3DH 'Set new z-shift .pPtBqp op.Type = "ShiftZ" 7 MG<!U op.val1 = tlens iB3C.wd- op.parent = parID !X+}W[Ic^ AddOperation eID, op /H :Bu Print "Set lens thickness = " & tlens /9SNXjfbt GLa_[9 " '************************************************************************* 5 IFc" 'Lens index of refraction &f<Ltdw '************************************************************************* osI0m7ws: eID = FindMaterial( "Lens" ) X oh@ (% GetModelMaterial eID, mat ]vZ}4Xno uF<\|y rFt mat.Nd = nlens {/K!cPp9 SetModelMaterial eID, mat SI:Iv:> Print "Set lens index of refraction = " & nlens >o!5)\F u~\ NL{ '************************************************************************* =[IKwmCX 'Pupil diameter `{'h+v` '************************************************************************* |#x]/AXa0/ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9[Xe|5?c #gRtCoew 'Adjust pupil diameter (trimming volume inner hole) RgLk AHA gutf[Ksu SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Ct386j>< 4|xQQv ' Adjust pupil location to just in front of the lens XA-, parID = FindFullName( "Geometry.Arizona Eye" ) (V#*}eGy eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) s
Vg89I& count = 0 9RJFj?^" While GetOperationCount(eID)>count ; 8u5 GetOperation eID, count, op mZ4I}_\, If op.Type="ShiftZ" Then 48[b1#q] DeleteOperation eID,count VpWpC& count=count-1 2[5z6oG End If xQ\S!py- count=count+1 og8"#% Wend [OQ+&\ op.Type = "ShiftZ"
bC%}1wwh op.val1 = taq-0.01 GE |P )VO op.parent = parID 1eMaKT_= AddOperation eID, op m9Hdg^L A&=`?4> Print "Set pupil diameter = " & pupilDiam <(B: "wI QS2~}{v 'Update AZ Eye subassembly Description & 6~AY:0r eID = FindFullName( "Geometry.Arizona Eye" ) 4zx_L8#Z GetEntity eID, entity :1e'22[=. entity.Description = "Accommodation = " & A & "D" 'kk
B>g7B SetEntity eID, entity l8By2{pN J]qx4c Update G?v]|wdI Print "DONE!" 0xpE+GY l5,}yTUta End Sub T``~YoIdz yNN_}9 如果屈光度是4,光瞳直径是4,则会输出如下数据: <PXnR\ J)_IfbY Accommodation = 4 Diopters 3k5F$wf Pupil Diameter = 4 mm j8{,u6w)- Set aqueous humor thickness = 2.81 6D1tRo Set anterior lens radius = 10.4 and conic constant = -2.375869 Q)l~?Fx Set posterior lens radius = -4.424557 and conic constant = -3.081019 d> L*2 g Set lens thickness = 3.927 2 [yfo8H Set lens index of refraction = 1.42672 )}5f'TK Set pupil diameter = 4 <"
F|K!Tz DONE! 5=9gH 7wwlZ;w (文章来源:讯技光电)
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