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简介 8@9hU`H8l $.suu^>^w 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 (M+,wW[6 1(#*'xR 模型 + 1E?He:iQ GoGohsj 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 +0oyt? yv6Zo0s<J Table 1. AZ眼睛模型的定义 F[o+p|nF 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. v#FJ+ I?^Q084 光源 9 AQ96 sw 3:HNG= 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 M~d+HE kR`6s |o; j0 图1. 光源和提示信息使用
L@g Q L 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 c<JM1 e]dPF[?7 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 P;HVL flu tu?Z@W/ 图2. 字母F光源的设定方法光 +l[Z2mW LV[66<T 图3. 字母F在视网膜上位置点列图 I>YtWY|ed 视网膜的散射 ?34EJ
! fY)4]= L 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Zh@4_Z9n! %~~z9 6( @&i#S}%/ 图4. 视网膜朗伯散射设定 eCPKpVhP 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。
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pe[V~F VrAXOUJw6 ?:{0 图5. 视网膜重点采样规格设定 P0`>{!r6@ 脚本 gr[ "A B4\:2hBq 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: )$lSG}WD }e/[$!35 图6. 用户对话框的创建与编辑 e@2E0u4
图7. 用户对话框编辑器 ]sm0E@ 1 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 c*M)DO`y;h 余下的脚本计算与屈光度有关的所有参数。 %(dV|,|v (TbB?X} 分析 /`j K EE{#S 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 R.T?ZF )LMBxyS 图7. 字母F在视网膜上颜色分析 n8;G,[GM80 脚本代码 )=,9`+Zta 4? /ot;>2 Option Explicit 'Remove this to enable non-dimensioned variables to be used. Fb\2df{@ c^dl+-{Mc Dim entity As T_ENTITY [#
tT o;q Dim op As T_OPERATION @LkW_ Dim mat As T_MODELMATERIAL
ycAi(K Dim A As Double [6/%V>EM Dim pupilDiam As Double &ls!IN Dim eID As Long yaYIgG Dim parID As Long {%+3D,$) Dim count As Integer 1=o(sIeA Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2U+z~ Dim tlens As Double, nlens As Double c@ZkX]g Dim curv As Double, conic As Double =aCIaL&9Y Dim ok As Long *~t$k56 Z>MJ0J76] Sub Main ;2xXX,'R7 8^f[-^% '用户输入对话框 ]Xkc0E1 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 H/v37%p7 TextBox 220,21,40,21,.TextBox1 'default: 0 Y(G*Yi?; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 -SC2Zgi)A OKButton 40,91,90,21 }v(H
E%~} CancelButton 190,91,90,21 Cn./N aq Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Z+"E* TextBox 220,49,40,21,.TextBox2 'default: 4 g:HbmXOBpj End Dialog x"C93ft[ Dim dlg As UserDialog ezq
q@t9 A0N ;VYv ok = Dialog (dlg) ^) b7m U0|j^.) If ok=0 Then 'cancel button was pressed y
4,T Print "Execution cancelled." b09#+CH? End <x%my4M End If EJ
&ZZg as!|8JE` 'Assign accommodation and pupil diameter & use defaults if field left empty $Bwvw)(% If dlg.TextBox1 = "" Then yn ?U7`V A = 0 'Default accommodation ~E:/oV:4 > Else ['N#aDh.? A = CDbl(dlg.TextBox1) .n|3A3: End If Rp@}9qijb YWBP'Mo If dlg.TextBox2 = "" Then 0?4^.N n3 pupilDiam = 4 'Default pupil diameter !PP?2Ax Else bl=*3qB pupilDiam = CDbl(dlg.TextBox2) )dN,b(w9 End If s7)# NT2 <812V8<! Print " " |sZ9/G7 Print "Accommodation = " & A & " Diopters" ])ZJ1QL1 Print "Pupil Diameter = " & pupilDiam & " mm" HIp {< M3 LM`tNZ1Fc! ' Calculate new parameters with accommodation Sm I8&c taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness MvjwP?J] k3|9U'r!c Rant = 12.0 - 0.4*A 'Radius of anterior lens W!9f'Yn CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Yr(f iI +iDz+3v( Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 93p9?4;n- CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens WE8L?55_Au ljR?* P tlens = 3.767 + 0.04*A 'Lens thickness 1nM?>j%k %^@0tT nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction l=OC?d*m %$-3fj7
'Adjust parameters to account for accommodation k}a!lI: Q ]koj!mMl '************************************************************************* 9lwo/(s 'Aqueous thickness (Position of Lens) HBkQ`T '************************************************************************* sAAIyPJts eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %RF GetCustomElement eID, entity !m.')\4< =81Xt1, parID = FindFullName( "Geometry.Arizona Eye" ) <qj@waKw4 n#AH@`&i ' Delete any shift(s) in z r3lr`s` count = 0 5TW<1'u While GetOperationCount(eID)>count #2t\>7] GetOperation eID, count, op B!C32~[ If op.Type="ShiftZ" Then Qz90 mb DeleteOperation eID,count |8?{JKsg count=count-1 ?=o]Wx0(9 End If o\YdL2:X count=count+1 4'eVFu+62 Wend "Q!{8 9Y T//+&Sk[ 'Set new shift in "+"dALX{3K op.Type = "ShiftZ" ^\t">NJ^ op.val1 = taq GnHf9
JrR op.parent = parID *m Tc4&* AddOperation eID, op 4>eg@s N Print "Set aqueous humor thickness = " & taq-0.55 AyXKhj#Ml !LSWg:Ev+ '************************************************************************* 6E%k{ r 'Radius and conic constant of anterior lens TgG)btQ '************************************************************************* jtC ob'n8 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) E$fy*enON GetConic eID, entity, curv, conic Z19y5?uR fH{$LjH( SetConic eID, entity, 1/Rant, CCant B
~bU7.Cd Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Ppn ZlGQ6 ag4^y& '************************************************************************* G`K7P`m 'Radius and conic constant of posterior lens ,=yIfbFQ '************************************************************************* J\},o|WI eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) b8Ad*f\ GetConic eID, entity, curv, conic T>?1+mruM o[*ih\d SetConic eID, entity, 1/Rpost, CCpost E0'6 !9y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ^8t*WphZC *\5H\s9< '************************************************************************* \3UdC{~ 'Lens thickness (Position of posterior lens surface) Xc<9[@ '************************************************************************* M#IR=|P] V#FLxITk parID = FindFullName( "Geometry.Arizona Eye.Lens" )
#rC+13 D'=`O6pK ' Delete any z-shift(s) (bXp1*0 ; count = 0 F=lj$?4{ While GetOperationCount(eID)>count Q 7?4GxMj GetOperation eID, count, op uATRZMai If op.Type="ShiftZ" Then 6H9]]Unju DeleteOperation eID,count .h }D%Qa count=count-1 <0MUn#7' End If 1&WFs6 count=count+1 /FXfu Wend 4iPg_+ ucO]&'hu: 'Set new z-shift =z dti'2{4 op.Type = "ShiftZ" e1a %Rj~ op.val1 = tlens (6aZQ`H op.parent = parID 4WnxJ]5` AddOperation eID, op n*|-"'j Print "Set lens thickness = " & tlens F:U_gW? rGO3 '************************************************************************* 2Ki/K( 'Lens index of refraction r#}%sof '************************************************************************* m/h0J03'T eID = FindMaterial( "Lens" ) ~-zC8._w3r GetModelMaterial eID, mat ZaV@}=Rd8 )HHzvGsL) mat.Nd = nlens "*WXr$ SetModelMaterial eID, mat T9.gs}B0 Print "Set lens index of refraction = " & nlens W6>uLMUa _E 8SX
v '************************************************************************* >TJ$Z3 'Pupil diameter Sn,z$-;h; '************************************************************************* @
vudeaup eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) G
0 yt%qHE sa?;D 'Adjust pupil diameter (trimming volume inner hole) djp(s$:{4 &0TheY;srf SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" K ajyQ"j C?J%^?v ' Adjust pupil location to just in front of the lens YG|T;/- parID = FindFullName( "Geometry.Arizona Eye" ) 'r0gqtB eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) _X/`4 G count = 0 c`Cn9bX While GetOperationCount(eID)>count .j.=|5nVo4 GetOperation eID, count, op |szfup~5es If op.Type="ShiftZ" Then NI)nf;C DeleteOperation eID,count F'!}$oT" count=count-1 "/=xu| End If x(~l[hT count=count+1 Ws@s(5r Wend TjdY Ck]' op.Type = "ShiftZ" Gz:a1-x op.val1 = taq-0.01 j|9 2
g op.parent = parID o\#e7 Hqbh AddOperation eID, op G Kr
L 9|,AhyhO Print "Set pupil diameter = " & pupilDiam `pr,lL J)_42Z 'Update AZ Eye subassembly Description NgKNT}JDv eID = FindFullName( "Geometry.Arizona Eye" ) .#}R$}e+ GetEntity eID, entity 'UKB
pm/ entity.Description = "Accommodation = " & A & "D" a6C~!{'nW SetEntity eID, entity t/w>t! q (A_9;uL^_ Update jC=_>\<|X* Print "DONE!" R<U<Y'Y Qpc>5p![3 End Sub $I%]jAh6 &M0v/!%L 如果屈光度是4,光瞳直径是4,则会输出如下数据: SV >EB;< fQdQ[ Accommodation = 4 Diopters |{(ynZ]R Pupil Diameter = 4 mm ,==lgM2V> Set aqueous humor thickness = 2.81 BH^q.p_#>X Set anterior lens radius = 10.4 and conic constant = -2.375869 t<-Iiq+tL Set posterior lens radius = -4.424557 and conic constant = -3.081019 0FBifK Set lens thickness = 3.927 ZZUCwczI Set lens index of refraction = 1.42672 VlH9ap Set pupil diameter = 4 QQcJUOxT9 DONE! <v?-$3YT
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