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简介 8L1oh j NxLXm, 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。
kZ=s'QRgL 4Ua>Yw0 模型 ^`D=GF^tX x{&w?ng 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。 sk|=% }y /N-_FMl? Table 1. AZ眼睛模型的定义 o5n^!gi4 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. d;+[i Z,X'-7YkU 光源 W<<9y SZ_V^UX_ 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。 b,IocD6v;P ~j'l.gQb h},oF!, 图1. 光源和提示信息使用 8/"fWm/ 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。 P5gN #G :h1pBEiH 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。 Eaqca{%/^ [0UGuj 图2. 字母F光源的设定方法光 Pe2w sR"_U Cb:gH}j 图3. 字母F在视网膜上位置点列图 _xLHrT!y 视网膜的散射 Ap$y%6 ++Ww88820 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 .6~`Ubr}E OD=!&LM m~'? /!! 图4. 视网膜朗伯散射设定 _Zc%z@} 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 tV/Z)fpyH CD0VfA>Z T%Pp*1/m7 图5. 视网膜重点采样规格设定 9GdB#k6W` 脚本 s9oO%e< j(#%tIv 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 9,]5v+ z5]bia, 图6. 用户对话框的创建与编辑 :h,`8 Di 图7. 用户对话框编辑器 >b.^kc 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 B[9 (FRX 余下的脚本计算与屈光度有关的所有参数。 cubUq5 q_Lo3|t i 分析 KTEZ4K^o= u? fTL2~ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 nNmsr=y5 A-ZmG7xk 图7. 字母F在视网膜上颜色分析 UMN*]_'+;b 脚本代码 H UWxPIu @InZ<AW>| Option Explicit 'Remove this to enable non-dimensioned variables to be used. EC6k{y}bA !q"CV Dim entity As T_ENTITY q*)+K9LRk Dim op As T_OPERATION _KD5T4FZR Dim mat As T_MODELMATERIAL ~svO*o Wa Dim A As Double 5y4u5Tm-% Dim pupilDiam As Double kVS?RHR Dim eID As Long (5$ZvXx?} Dim parID As Long
8%RI7Mg Dim count As Integer N{d@^Yj Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double j*;N\;iL!* Dim tlens As Double, nlens As Double W0cgI9=9 Dim curv As Double, conic As Double VK3it3FI>3 Dim ok As Long kJ)gP 2E AAUyy
: Sub Main DW(~Qdk iwY'4Z
e '用户输入对话框 r(2R<A Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 G"y.Z2$ TextBox 220,21,40,21,.TextBox1 'default: 0 SJgY Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 /OGA$eP OKButton 40,91,90,21 v$w++3H CancelButton 190,91,90,21 "zZI S6j Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1
l+y-Fo@ TextBox 220,49,40,21,.TextBox2 'default: 4 Rn+4DcR End Dialog l)+:4N?iVv Dim dlg As UserDialog sNU}n<J- }lZ> ok = Dialog (dlg) yy(A(} +1;'B4 If ok=0 Then 'cancel button was pressed _ :^7a3I Print "Execution cancelled." $1*3!}_0 End }{],GHCjQ End If gY9\o#)< ~0-g%C?R 'Assign accommodation and pupil diameter & use defaults if field left empty t"s5\;IJ If dlg.TextBox1 = "" Then ^~L}<] A = 0 'Default accommodation u@.>WHQN Else $(HjI
\%l^ A = CDbl(dlg.TextBox1) ,|To#umym> End If q'(z #h,cv gX} g
If dlg.TextBox2 = "" Then 6/mF2&&g pupilDiam = 4 'Default pupil diameter So4nJ><p Else B/eaqJ pupilDiam = CDbl(dlg.TextBox2) GHN3PEJ> End If &:#m&,tQ ;6DnId2Zh Print " " ,-rB=|w Print "Accommodation = " & A & " Diopters" =3ADT$YHd Print "Pupil Diameter = " & pupilDiam & " mm" !Ua&0s% t%+$"nP ' Calculate new parameters with accommodation %AR^+*Nu taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness >#N[GrJAE
E8-53"m Rant = 12.0 - 0.4*A 'Radius of anterior lens V_a)jJ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens m4/}Jx[ .2X2b<%) Rpost = -5.224557 + 0.2*A 'Radius of posterior lens VO`"< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ; Zq/eiB WD?Jk9_F tlens = 3.767 + 0.04*A 'Lens thickness YBSl-G' mtw9AoO nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction \{PNw F? +8^_D?*\n 'Adjust parameters to account for accommodation C{Blqf3V0 <TjBd1 '************************************************************************* &(O06QL 'Aqueous thickness (Position of Lens) 8wF#e\Va0 '************************************************************************* D<nxr~pQ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) S;}qLjT GetCustomElement eID, entity v.`+I-\.z) KU2$5[~j parID = FindFullName( "Geometry.Arizona Eye" ) 3Xdn62[& #AncOo ' Delete any shift(s) in z g@E&uyM count = 0 !Z/$}xxj While GetOperationCount(eID)>count sb'p-Mj GetOperation eID, count, op aIu2> If op.Type="ShiftZ" Then *ro.mQ_ DeleteOperation eID,count 0$2={s4ze count=count-1 ahp1!=Z-= End If z~.9@[LG] count=count+1 @)z*BmP Wend fq Y1ggL 7!-
\L7< 'Set new shift in &s-VSu7 op.Type = "ShiftZ" 8_iHVc;< op.val1 = taq d;g-3Pf op.parent = parID T~:_}J AddOperation eID, op I*c;hfu Print "Set aqueous humor thickness = " & taq-0.55 Mdky^;qq3; *8206[y '************************************************************************* MF|*AB|E 'Radius and conic constant of anterior lens ~'[jBn) '************************************************************************* [|<EDR eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) {]M>Y%j48 GetConic eID, entity, curv, conic B"[{]GP BY :A*0 ]X; SetConic eID, entity, 1/Rant, CCant FF@ `+T Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >
Z++^YVE lWlUWhLnP '************************************************************************* ^^
j/ 'Radius and conic constant of posterior lens fKYKW?g;)Z '************************************************************************* -eq=4N=s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) xSOoIsL[ GetConic eID, entity, curv, conic uTw|Q{ f s*+ZYPk SetConic eID, entity, 1/Rpost, CCpost Z^+a*^w~{ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost tnL."^%A2I /Tcb\:`9 '************************************************************************* 2*YP"Ryh 'Lens thickness (Position of posterior lens surface) ?.j,Bq5At '************************************************************************* *JS"(. '( r8+*|$K parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (n}%a6M =N;$0Y(g ' Delete any z-shift(s) xiJz`KD& count = 0 c&A]pLn+x While GetOperationCount(eID)>count I1~G$)w# GetOperation eID, count, op EaCZx If op.Type="ShiftZ" Then &*ZC0V3 DeleteOperation eID,count .f+9 A> count=count-1 Hp*gv/0 End If Z]p8IH%~92 count=count+1 3f,u}1npa* Wend >eu
`!8 hOl=W |)v 'Set new z-shift L-MiaKc L op.Type = "ShiftZ" G ;jF9i op.val1 = tlens 5{HtJ?sKc5 op.parent = parID -P*xyI AddOperation eID, op F[(6*/ 46x Print "Set lens thickness = " & tlens !rz)bd3$ &E`9>&~J '************************************************************************* 5(KG=EHj_ 'Lens index of refraction 6l<1A$BQ '************************************************************************* EuLXtq eID = FindMaterial( "Lens" ) G+fd.~aGE GetModelMaterial eID, mat oAC^4-Ld C*$|#.l mat.Nd = nlens yX3PUO9 SetModelMaterial eID, mat 6,a%&1_ Print "Set lens index of refraction = " & nlens %OuX`w= Sr-|,\/O '************************************************************************* _>;&-e 'Pupil diameter 2[XltjO '************************************************************************* ,v|CombIc. eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FSFFk~ Bmmb 'Adjust pupil diameter (trimming volume inner hole) JUmw$u xa'
nJ"f; SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" H'D#s;SlR `~0P[>|+ ' Adjust pupil location to just in front of the lens p EY>A_F parID = FindFullName( "Geometry.Arizona Eye" ) +tPx0>p; eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) m\/>C|f\ count = 0 P_v0))n{ While GetOperationCount(eID)>count w<v1N GetOperation eID, count, op <&KLo>B^ If op.Type="ShiftZ" Then r+SEw ; DeleteOperation eID,count 5DmCxg count=count-1 >pN;J)H End If ?VUgwP_= count=count+1 ip<15;Z Wend IU7$%6<Y op.Type = "ShiftZ" 56"#Syj op.val1 = taq-0.01 fm[_@L%
x op.parent = parID VjC*(6<Gj AddOperation eID, op 4t,zHR6W C{8i7D Print "Set pupil diameter = " & pupilDiam U.HoFf+HN D!c1;IHZ 'Update AZ Eye subassembly Description P\Ai|"=&] eID = FindFullName( "Geometry.Arizona Eye" ) @Q/x&BV GetEntity eID, entity f2`P8$U)R entity.Description = "Accommodation = " & A & "D" w 9/nVu SetEntity eID, entity ^).WW 83\o( Update /A%om|+Gq Print "DONE!" 1 ,#{X3 w/?nUp End Sub @TdQZZ}G\x BhOXXa{B 如果屈光度是4,光瞳直径是4,则会输出如下数据: V h
Z=,m 14mXx}O Accommodation = 4 Diopters }Q47_]5 Pupil Diameter = 4 mm eo>/ Set aqueous humor thickness = 2.81 TP{>O%b Set anterior lens radius = 10.4 and conic constant = -2.375869 R)sp Set posterior lens radius = -4.424557 and conic constant = -3.081019 MMd0O X)P Set lens thickness = 3.927 YtV |e|aD Set lens index of refraction = 1.42672 }pbBo2 Set pupil diameter = 4 T@%;0Ro~ DONE! q"{Up
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