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简介 ">|L< ;XY#Jl>tg 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。 ~O;?;@ \XY2s&" 模型 g[2[
zIB= C/"Wh=h6 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。 ku v< Y0'~u+KS`5 Table 1. AZ眼睛模型的定义 b4^a
zY 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. Iq;a!Lya- d#, 光源 K<ldl. %'F[(VB 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。 ^oHK.x#{ +/*A}!#v Z;U\h2TY 图1. 光源和提示信息使用 bir tA{q 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。 T7G{)wm LrfyH"#!: 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。 ~xZ)btf %cc<>Hi 图2. 字母F光源的设定方法光 ctC!b{S"@ +fF4]WFP 图3. 字母F在视网膜上位置点列图 $_Lcw"xO 视网膜的散射 `Oi6o[a l$p"%5]_ 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。 Yi"jj;!^S IW|1)8d 6v-2(Y 图4. 视网膜朗伯散射设定 vn5]+-I 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。 LTY(6we- ?6^KY+ 5`C o2(*5*b!@e 图5. 视网膜重点采样规格设定 Yv;18j*< 脚本 CI?M2\<g wmS:*U2sc 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: !U+XIr
5E|/n( 图6. 用户对话框的创建与编辑 Z"<tEOs/En 图7. 用户对话框编辑器 Oz,/y3_ 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。 UD r@ 余下的脚本计算与屈光度有关的所有参数。 78+PG(Q_M [.iz<Yh 分析 [[:wSAO>6' 4[]4KKO3Q2 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?Da!QH
>,] szb],)|18 图7. 字母F在视网膜上颜色分析 ~); 7D'[ 脚本代码 l7JY`x A0Hs d Option Explicit 'Remove this to enable non-dimensioned variables to be used. A[oxG;9xi xBcE>^{1. Dim entity As T_ENTITY ,NaNih1 Dim op As T_OPERATION V5LzUg] Dim mat As T_MODELMATERIAL 1~q|%"J Dim A As Double *e05{C:kS Dim pupilDiam As Double ]^^mJt.Iv Dim eID As Long a2un[$Jq` Dim parID As Long 1vBXO bk Dim count As Integer y|%rW Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double &P{[22dQ Dim tlens As Double, nlens As Double MkG*6A Dim curv As Double, conic As Double P\CT|K'P Dim ok As Long O9W|&LAL ) >SU J^u Sub Main &<sDbNS RI_3X5.KQ '用户输入对话框 sk_Q\0a Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 t|aBe7t7 TextBox 220,21,40,21,.TextBox1 'default: 0 It@.U| Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 e[7n`ka
' OKButton 40,91,90,21 +H~})PeQ CancelButton 190,91,90,21 "V;M,/Q| Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 q>*+.~ TextBox 220,49,40,21,.TextBox2 'default: 4 _YW1Mk1 End Dialog %A dE5HI- Dim dlg As UserDialog xV4
#_1( #}W^d^-5t5 ok = Dialog (dlg) /K9Tn ,$96bF "# If ok=0 Then 'cancel button was pressed <x),HTJ Print "Execution cancelled." +mN]VO*y End 0ZXG{Gp9S End If IOsitMOX: =5jX#Dc5.+ 'Assign accommodation and pupil diameter & use defaults if field left empty >8nRP%r[5, If dlg.TextBox1 = "" Then bi bjFg A = 0 'Default accommodation S]3t{s#JW7 Else IgOo2N"^l A = CDbl(dlg.TextBox1) ~%QVjzMC End If I7hE(2!$ )FkJ=P0 If dlg.TextBox2 = "" Then {`vF4@ pupilDiam = 4 'Default pupil diameter ~ b;%J: Else h$FpH\- pupilDiam = CDbl(dlg.TextBox2) ~g+?]Lk} End If Dxu2rz!li- k!K}<sX2 Print " " 9air"4 Print "Accommodation = " & A & " Diopters" S3u>a\ Print "Pupil Diameter = " & pupilDiam & " mm" |*Dklo9{ brGUK PB ' Calculate new parameters with accommodation #$QC2;/)F taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ?1Lzbou 7Xi)[M?)# Rant = 12.0 - 0.4*A 'Radius of anterior lens u|.L73<j% CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens %B$~yx3# QcGyuS.B Rpost = -5.224557 + 0.2*A 'Radius of posterior lens MS-}IHO CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vcnUb$% e`fN+ tlens = 3.767 + 0.04*A 'Lens thickness cbD&tsF i:wTPR nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +^
n\?! ~r6qnC2 'Adjust parameters to account for accommodation ,mR$YT8 'Jww}^h1 '************************************************************************* QXnL(z 'Aqueous thickness (Position of Lens) V^WR(Q} '************************************************************************* B(x i
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) r<38; a GetCustomElement eID, entity xioL6^(Qk, :4PK4D s7 parID = FindFullName( "Geometry.Arizona Eye" ) j()<.h;' -ckk2D? ' Delete any shift(s) in z y,i:BQJ< count = 0 &{?*aK&%3l While GetOperationCount(eID)>count y{ReQn3>y GetOperation eID, count, op JJ5s
|&} If op.Type="ShiftZ" Then #wL}4VN DeleteOperation eID,count 2B{~"< count=count-1 h[M~cZ{ End If A\9QgM count=count+1 8|uFW7Q Wend 8_6\>hW& s)ymm7? 'Set new shift in =^m,|j|d>4 op.Type = "ShiftZ" c0.i op.val1 = taq 01VEz
8[\ op.parent = parID fGDR<t3yiQ AddOperation eID, op l(Dkmt>^ Print "Set aqueous humor thickness = " & taq-0.55 6vySOVMj (a0q*iC% '************************************************************************* 3VZeUOxY\W 'Radius and conic constant of anterior lens z;GR(;w/ '************************************************************************* ;q&6WO eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) t(YrF, GetConic eID, entity, curv, conic N6Mo| u/3[6MIp SetConic eID, entity, 1/Rant, CCant 1@*qz\ YY Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant og<mFbqkq7 RM8p[lfX '************************************************************************* AV\6K;~ 'Radius and conic constant of posterior lens $Cw>
z^}u '************************************************************************* eHUr!zH: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) d?G~k[C!a GetConic eID, entity, curv, conic .}W#YN$ m%Ah]x; SetConic eID, entity, 1/Rpost, CCpost #jAlmxN Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost e|)6zh<O: ns|)VX '************************************************************************* tJ>|t hk 'Lens thickness (Position of posterior lens surface) :r%Hsur( '************************************************************************* 7p'L(dq -F.A1{l[. parID = FindFullName( "Geometry.Arizona Eye.Lens" ) [jb3lO$Xa W<<{}'Db/# ' Delete any z-shift(s) wg<UCmfu! count = 0 'r;C(Gh6 While GetOperationCount(eID)>count OU&eswW GetOperation eID, count, op acd8?>%[ If op.Type="ShiftZ" Then VhdMKq~` DeleteOperation eID,count >*#clf;@p count=count-1 7?Vo([8 End If FV>j
!>Y count=count+1 oxkA+}^j8M Wend <i9pJGW XRi/O)98o 'Set new z-shift <xOv0B op.Type = "ShiftZ" "RPX_ op.val1 = tlens )c
vA}U.z op.parent = parID >_3+s~ AddOperation eID, op $F V!HD Print "Set lens thickness = " & tlens L'XX++2 .kO!8Q-;% '************************************************************************* ,})x1y 'Lens index of refraction ^+Ho#] '************************************************************************* 29P vPR6 eID = FindMaterial( "Lens" ) n{oRmw- GetModelMaterial eID, mat '\yp}r'u 'Oyx
X mat.Nd = nlens a xT- SetModelMaterial eID, mat ub^v,S8O Print "Set lens index of refraction = " & nlens TNYd_:j {oIv%U9 '************************************************************************* ?U~}uG^ 'Pupil diameter uMW5F-~-+ '************************************************************************* +[l52p@a eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) +^!;J/24 7gIK+1` 'Adjust pupil diameter (trimming volume inner hole) 6n9;t\'Gt P$4h_dw SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" pyPS5vWG qkX}pQkG)h ' Adjust pupil location to just in front of the lens OE,uw2uaT parID = FindFullName( "Geometry.Arizona Eye" ) V&)lS Qw eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) XAN{uD^3\% count = 0 F$ a?} } While GetOperationCount(eID)>count .;6G?8` GetOperation eID, count, op nsChNwPX If op.Type="ShiftZ" Then Y XC?q DeleteOperation eID,count ni @Mqb count=count-1 Zkn$D: End If G/tah@N[7 count=count+1 4{2)ZI# Wend b}P5*}$:9" op.Type = "ShiftZ" <.c@l,[.z op.val1 = taq-0.01 9:tvkl op.parent = parID }Ip"j]h AddOperation eID, op I W_:nm6 RfPRCIo Print "Set pupil diameter = " & pupilDiam QInow2/u >patv 'Update AZ Eye subassembly Description JM8s]& eID = FindFullName( "Geometry.Arizona Eye" ) 79J@` GetEntity eID, entity "z+Z8l1. entity.Description = "Accommodation = " & A & "D" $#V^CmW. SetEntity eID, entity |JVeW[C @ucN|r}=R Update RZykwD( Print "DONE!" ?H9F"B$a ag6hhkjA End Sub ZB-+bY %SV"iXxY 如果屈光度是4,光瞳直径是4,则会输出如下数据: =m@5$ X8T7(w<0%f Accommodation = 4 Diopters \Fhk> Pupil Diameter = 4 mm "P:kZ=M
Q Set aqueous humor thickness = 2.81 }`/wj Set anterior lens radius = 10.4 and conic constant = -2.375869 )2Gp3oD? Set posterior lens radius = -4.424557 and conic constant = -3.081019 *qcL(] Yq Set lens thickness = 3.927 U:]b&I Set lens index of refraction = 1.42672 yVPkJ Set pupil diameter = 4 \FOX#|i) DONE! s)]Z*#ZZ m,nV,}@J <DS+"# QQ:2987619807 CL(,Q8yG
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