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简介 {D7v[P+ se`^g
,]P 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。 Ah Rvyj b_>x;5k 模型 PIZK*Lop S/)yi 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。 Ys+NIV#Q A? T25<} Table 1. AZ眼睛模型的定义 3"p'WZ> 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. ( Qj;B) *rv7#!]. 光源 !X ={a{<,T W'L 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&FO-{S j+NsNIJq f2G 3cg~H 图1. 光源和提示信息使用 yLEAbd%+ 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。 w'zSV1 %1z`/B 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。 xY<*:& 0q_?<v_1 图2. 字母F光源的设定方法光 {I]>!V0j! 0^mCj<g 图3. 字母F在视网膜上位置点列图 NXSjN~aG2 视网膜的散射 v9XevLs y[d>7fcf 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。 BT*{&'\/ m)e~HP7M uQO\vRh0 图4. 视网膜朗伯散射设定 OSIf>1 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。 Ob@HzXH UIK4]cYC' dr^MW?{a\ 图5. 视网膜重点采样规格设定 3B?7h/f 脚本 m t}3/d qTI_'q 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:
,)Z1&J? -I.BQ 图6. 用户对话框的创建与编辑 !<= ^&\A 图7. 用户对话框编辑器 aqKrf(Rv 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。 $<F9;Z 余下的脚本计算与屈光度有关的所有参数。 wH]Y1 m lc\%7-%:5 分析 KhZ\q|5 r;SOAucX 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 '.IR|~ Y FC#t}4as 图7. 字母F在视网膜上颜色分析 UqNUP+K 脚本代码 u$ff %`E }$@ EpM Option Explicit 'Remove this to enable non-dimensioned variables to be used. A75z/O{ e~PAi8B5 Dim entity As T_ENTITY kS<9cy[O Dim op As T_OPERATION $aDkZj Dim mat As T_MODELMATERIAL PYr'1D' Dim A As Double j6#Vwc r Dim pupilDiam As Double 1R"Z+tNB Dim eID As Long I\Pw` Dim parID As Long e|eWV{Dsz Dim count As Integer ~qkn1N%' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2k+u_tj> Dim tlens As Double, nlens As Double k FCdGl Dim curv As Double, conic As Double FZx.Yuv Dim ok As Long UAOH9*9* l^R1XBP Sub Main |Fe*t Esdw^MGL2 '用户输入对话框 cS RmC Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Ypwn@?xeP TextBox 220,21,40,21,.TextBox1 'default: 0 gfQ1p ? Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 GU7f27p OKButton 40,91,90,21 @o>3
Bv. CancelButton 190,91,90,21 ][B>`gC- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 a\tv,Lx TextBox 220,49,40,21,.TextBox2 'default: 4 _[,7DA.qc End Dialog @waY+sqt= Dim dlg As UserDialog $Go)Zs-bL? V-x/lo]Co ok = Dialog (dlg) iyP0;$ `!y/$7p
If ok=0 Then 'cancel button was pressed b}J,&eYD Print "Execution cancelled." #]z_pp: End /7igPNhx End If Ir6g"kwCKq l(d3N4iz 'Assign accommodation and pupil diameter & use defaults if field left empty C=&;4In If dlg.TextBox1 = "" Then PGhYkj2 A = 0 'Default accommodation 3 uJ?; Else l09DH+ A = CDbl(dlg.TextBox1) YcN &\( End If (w-@b70E );d"gv(]D If dlg.TextBox2 = "" Then 0,j!* pupilDiam = 4 'Default pupil diameter s^HI%mdf Else e@{Rlz pupilDiam = CDbl(dlg.TextBox2) G<Y}QhFU End If xM**n3SZ` y\ax?(z Print " " C=`MzZ bJ Print "Accommodation = " & A & " Diopters" <ToRPx&E Print "Pupil Diameter = " & pupilDiam & " mm" oW3|b2D DVjwY_nG7 ' Calculate new parameters with accommodation PLRMW2 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness gm=LM= ="de+S8W Rant = 12.0 - 0.4*A 'Radius of anterior lens W|\$}@> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens UeU`U "mc ]^O Rpost = -5.224557 + 0.2*A 'Radius of posterior lens lsKQZ@LN` CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ,M=s3D8C @bZ,)R tlens = 3.767 + 0.04*A 'Lens thickness IGF25-7B C sCH :> nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction uLSuY}K0 ftD(ed 'Adjust parameters to account for accommodation 5=/j 6@FGt3y '************************************************************************* 1t} 'Aqueous thickness (Position of Lens) T l8`3`e '************************************************************************* ;lf $)3%[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yaYJmhG GetCustomElement eID, entity 3<_=Vyf KO[,C[;|j parID = FindFullName( "Geometry.Arizona Eye" ) J=b'b% z@v2t>@3k ' Delete any shift(s) in z ^Vg-fO]V count = 0 vrIWw?/z? While GetOperationCount(eID)>count JC
iB;!y GetOperation eID, count, op ^9 ^DA!' If op.Type="ShiftZ" Then z/wwe\ a5 DeleteOperation eID,count QypUBf count=count-1 VcLzv{ End If e'r-o~1eN count=count+1 BT"n;L?[ Wend 2^y*O D+y?KihE 'Set new shift in #U.6HBuQa op.Type = "ShiftZ" 1AQy8n*
op.val1 = taq Qcn;:6_&W op.parent = parID g0#w
4rGF) AddOperation eID, op v(zfq'^%` Print "Set aqueous humor thickness = " & taq-0.55 |q
c <C&O i&j]FX6q '************************************************************************* !,R=6b$E5 'Radius and conic constant of anterior lens +*wr=9> '************************************************************************* Ho1 V)T> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kAq#cLprG GetConic eID, entity, curv, conic -PTfsQk OO\$'%
y` SetConic eID, entity, 1/Rant, CCant N v6=[_D Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Z29aRi b8!
'************************************************************************* Nka 3H7` 'Radius and conic constant of posterior lens Uh+6fE]p '************************************************************************* \-8aTF eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) WZ=$c]gG GetConic eID, entity, curv, conic D9!$H!T _ c$x>6&&L SetConic eID, entity, 1/Rpost, CCpost 'xGTaKlm, Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost V=<AI.Z:w Y]DC; , '************************************************************************* q@1xYz:J 'Lens thickness (Position of posterior lens surface) S|F:[(WaM '************************************************************************* <==6fc>s Cv[1HO< parID = FindFullName( "Geometry.Arizona Eye.Lens" ) <`WcI`IAb g} pD% ' Delete any z-shift(s) AWi+xo| count = 0 <6+T&Ov6 While GetOperationCount(eID)>count }
L_Zmi$ GetOperation eID, count, op [_:
GQ If op.Type="ShiftZ" Then AcHeZb8b DeleteOperation eID,count ;9LOeH? count=count-1 e'->S g End If 3i~X`@$k> count=count+1 i8S=uJ]n Wend {W HK|l }G<~Cx5[ 'Set new z-shift ;SX~u*`R op.Type = "ShiftZ" wo;OkJKF op.val1 = tlens Hp@Q op.parent = parID x"r,l/gzy AddOperation eID, op 3-'3w , Print "Set lens thickness = " & tlens *%*Bo9a/ |
^G38 '************************************************************************* k5Su&e4]] 'Lens index of refraction ;]@Pm<f '************************************************************************* <W+9h0c eID = FindMaterial( "Lens" ) HiBI0)N} GetModelMaterial eID, mat XlnSh<e }Rw6+; mat.Nd = nlens UuC-R) SetModelMaterial eID, mat tq?a3 Print "Set lens index of refraction = " & nlens
EWr7eH nLx|$=W '************************************************************************* 0Ua=&;/2 'Pupil diameter q@tym5 '************************************************************************* zQ#*O'-n eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %0 i)l| |(AFU3~ 'Adjust pupil diameter (trimming volume inner hole) (][-()YV \0vs93>? SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T#wG]DH; \+=`o .2 ' Adjust pupil location to just in front of the lens \>G}DGz
parID = FindFullName( "Geometry.Arizona Eye" ) 9Q!Z9n"8~) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \BN$WV count = 0 H8g%h}6h While GetOperationCount(eID)>count 64]8ykRD- GetOperation eID, count, op m)3M) 8t If op.Type="ShiftZ" Then kW1w;}n$ DeleteOperation eID,count uB#U(
jl count=count-1 BC\W`K End If pWq+`|l$ count=count+1 LNyrIk/1 Wend ~X3x-nAt op.Type = "ShiftZ" &FuL{YL op.val1 = taq-0.01 >239SyC-, op.parent = parID n1PBpM9! AddOperation eID, op H5V>d `(
w"{8laB Print "Set pupil diameter = " & pupilDiam xVgm 9s$"c iJZNSRQJ}r 'Update AZ Eye subassembly Description Ga-cto1Y eID = FindFullName( "Geometry.Arizona Eye" ) h(<>s#=E GetEntity eID, entity ^9]iUx entity.Description = "Accommodation = " & A & "D" =,h'}(z_ SetEntity eID, entity 4 Yv:\c T\g+w\N Update 841 y"@*BY Print "DONE!" d4*SfzB ir"t@"Y;o End Sub l#%7BGwzY &1R#!|h1W 如果屈光度是4,光瞳直径是4,则会输出如下数据: aKWxL e >3@3~F%xAX Accommodation = 4 Diopters J7^UQ Pupil Diameter = 4 mm M=lU`Sm Set aqueous humor thickness = 2.81 :8hI3]9 Set anterior lens radius = 10.4 and conic constant = -2.375869 GZ,MC?W Set posterior lens radius = -4.424557 and conic constant = -3.081019 N5,LHO Set lens thickness = 3.927 G"OP`OMDc Set lens index of refraction = 1.42672 +ima$a0Zyt Set pupil diameter = 4 3T0~k-- DONE! yNowhh {\CWoFht> /I!62?)-* QQ:2987619807 $#p5BQQ|
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