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简介 lcV<MDS wv^rS^~ 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。 wM[~2C=vx *Ei|fe$sa 模型 NA,CZ _tr<}PnZ 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 A8A~!2V y0~Ia:y Table 1. AZ眼睛模型的定义 Q!,<@b) 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. >u%]6_[ d*pF> j 光源 fFjH "2WD d3^OEwe 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 jEXW HyiFy7j !6&W,0< 图1. 光源和提示信息使用 )EyI0R] 5 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 7kKy\W mW%?>Z1=>d 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 9;%CHb& f`>/
H!<2 图2. 字母F光源的设定方法光 w<9>Q1( }6 5s'JB 图3. 字母F在视网膜上位置点列图 qC!&x,}3 视网膜的散射 U}Hwto`R (wmBjQ]B< 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 (J"T]-[ P\CDd=yWc U=sh[W 图4. 视网膜朗伯散射设定 ^7]"kg DA 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 YJxw 'U
>P h;lirvO| g/=K. 图5. 视网膜重点采样规格设定 c^8o~K>w84 脚本 4;`Bj:. {5*|C-WWtG 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ZV}X'qGaq _B2V "p 图6. 用户对话框的创建与编辑 R6 XuA(5 图7. 用户对话框编辑器 z<gu00U7 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 TaJB4zB 余下的脚本计算与屈光度有关的所有参数。 6pE :A@ =G~~?>=@2 分析 c':ezEaC :PbDU$x 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #0b&^QL +a=
0\lpOy 图7. 字母F在视网膜上颜色分析 {+zJI-XN/ 脚本代码 nA>sHy \F, DA"K_ Option Explicit 'Remove this to enable non-dimensioned variables to be used. vtJV"h?e"3 iNCX:Y Dim entity As T_ENTITY 8|twV35 Dim op As T_OPERATION h!&sNzX Dim mat As T_MODELMATERIAL V's:>; Dim A As Double yj@tV2 Dim pupilDiam As Double T)7TyE|"2g Dim eID As Long V%HS\<$h Dim parID As Long k6IG+:s Dim count As Integer dEM?~? Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double u}9fj Dim tlens As Double, nlens As Double ghk5rl$ Dim curv As Double, conic As Double H'RL62! Dim ok As Long !rxp?V n - N$?cX(|7 Sub Main tqOi
x/ BX;5wKfA '用户输入对话框 z*~YLT& Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 k7_I$<YDj TextBox 220,21,40,21,.TextBox1 'default: 0 F>|9 52 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V'Y{v OKButton 40,91,90,21 c)C 5KaiPG CancelButton 190,91,90,21 b`cYpcs Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1
yeD_j/ TextBox 220,49,40,21,.TextBox2 'default: 4 fUag1d End Dialog >', y Dim dlg As UserDialog YTY%#"
!jS4!2' ok = Dialog (dlg) [UPNd!sy 0/]_nd If ok=0 Then 'cancel button was pressed .")b?#K Print "Execution cancelled." OsW"CF2 End EiV=RdL End If 5{>0eFzG x;$|#]+
'Assign accommodation and pupil diameter & use defaults if field left empty j~ym<-[{a If dlg.TextBox1 = "" Then &B-[oqC? A = 0 'Default accommodation G=M] 8+h Else m>Ux`Gp+ A = CDbl(dlg.TextBox1) sz09+4h# End If AfWl6a?T8: Ph7pd If dlg.TextBox2 = "" Then 9rj('F&1 pupilDiam = 4 'Default pupil diameter }(i(Ar- Else c]Unbm^w pupilDiam = CDbl(dlg.TextBox2) G_oX5:J* End If C@dGWAG KvFR8s Print " " }X1.Wt=? Print "Accommodation = " & A & " Diopters" *M!kA65' Print "Pupil Diameter = " & pupilDiam & " mm" <A~GW
'HB m^$5K's& ' Calculate new parameters with accommodation UC9{m252 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 6c\DJD {*=E?oF@ Rant = 12.0 - 0.4*A 'Radius of anterior lens SfI*bJo>V CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens \ZnN D1A _%IqjJO{=r Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Fn,k!q CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :4;S"p wkT;a&_ tlens = 3.767 + 0.04*A 'Lens thickness ?R?Grw)`H 7~.ZE nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 2,AaP*, gg8c7d:Q 'Adjust parameters to account for accommodation G*\sdBW!k jKt-~: '************************************************************************* F!CAitxd 'Aqueous thickness (Position of Lens) @%B4;c '************************************************************************* Ex,JB + eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,+-? Zv 2 GetCustomElement eID, entity '0Zm#g ]bfqcmh< parID = FindFullName( "Geometry.Arizona Eye" ) w`#fH E/"SU*Co ' Delete any shift(s) in z rA#s count = 0 zUQe0Gc.b^ While GetOperationCount(eID)>count v' 0!= r GetOperation eID, count, op *]!l%Uf% If op.Type="ShiftZ" Then fOW_h DeleteOperation eID,count F"BL#g66 count=count-1 eUs-5
L End If X8b#[40: count=count+1 6F ;Or Wend WD;)VsP 1 ;Ju] 'Set new shift in 0#=W#Jl> op.Type = "ShiftZ" R9=K(pOT op.val1 = taq lM&UFEl-\ op.parent = parID c! ~T2t AddOperation eID, op hZ o5p&b Print "Set aqueous humor thickness = " & taq-0.55 b Fn(w:1Q #7C6yXb% '************************************************************************* ^f0(aYWx 'Radius and conic constant of anterior lens U9F6d!:L7A '************************************************************************* sy.:T]ZH eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >t,O2~ GetConic eID, entity, curv, conic ]+lF=kkc% Bt6xV<jD SetConic eID, entity, 1/Rant, CCant gUb
"3g0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant qzlER dgY5ccP '************************************************************************* Fva]*5 'Radius and conic constant of posterior lens HqRCjD '************************************************************************* [k~C+FI eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) XC}1_VWs GetConic eID, entity, curv, conic Xr2 Wa `OLB';D SetConic eID, entity, 1/Rpost, CCpost fU`T\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost C,3T!\ 6>lW5U^yA\ '************************************************************************* XJ\_V[WA 'Lens thickness (Position of posterior lens surface) "Y(%oJS]D '************************************************************************* ;3
dM@>5[ dL(4mR8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) g6`.qyVfz' K_FBy ' Delete any z-shift(s) `{WCrw6) count = 0 kw;wlFU; While GetOperationCount(eID)>count v'$ykZ!Z GetOperation eID, count, op YiO3<}Uf If op.Type="ShiftZ" Then ^W k0*.wg DeleteOperation eID,count WSSaZ9
= count=count-1 cY^Y!., End If ,`+Bs&S 8 count=count+1 I'P.K| "R Wend 3} l; W -3w7^ 'Set new z-shift wV?[3bEhM op.Type = "ShiftZ" . *Z#cq0 op.val1 = tlens
TiTYs op.parent = parID " _mmR
M AddOperation eID, op 8db6(Q~P Print "Set lens thickness = " & tlens i'9eKO o`25 '************************************************************************* R,XD6' Q 'Lens index of refraction oX2r?.j#M '************************************************************************* 4bWfx_0W eID = FindMaterial( "Lens" ) [!5l0{0 GetModelMaterial eID, mat i /C'0 Mru~<:9 mat.Nd = nlens J511AoQ{R SetModelMaterial eID, mat "NlRSc# Print "Set lens index of refraction = " & nlens "_Zh5
g E=3#TBd '************************************************************************* %jpH:-8'2 'Pupil diameter -<_+-t
'************************************************************************* +)% ,G@-` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *:k~g].Iz j`Tm\!q 'Adjust pupil diameter (trimming volume inner hole) tYF$#Nor#k qNhH%tYQ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" |:{g?4Mi #V,LNX) ' Adjust pupil location to just in front of the lens 01'y^`\xQ parID = FindFullName( "Geometry.Arizona Eye" ) ]U#JsMS eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q=J9LQ count = 0 }7otuO(pRo While GetOperationCount(eID)>count g6HphRJ5s GetOperation eID, count, op 5^bh.uF If op.Type="ShiftZ" Then 7O]J^H+7 DeleteOperation eID,count Bi %Z2/ count=count-1 !>?4[|?n< End If q|?`Gsr count=count+1 `4se7{'UK` Wend eUi> Mp op.Type = "ShiftZ" NU BpIx& op.val1 = taq-0.01 z&\Il#'\m+ op.parent = parID W`
WLW8Qsw AddOperation eID, op [%HYh7ua< +qE,<c}} Print "Set pupil diameter = " & pupilDiam XL{{7%j [P (rY 'Update AZ Eye subassembly Description Vf@S8H eID = FindFullName( "Geometry.Arizona Eye" ) B:B0p+$I
GetEntity eID, entity R?1idl) entity.Description = "Accommodation = " & A & "D" ~NTDG SetEntity eID, entity {Q}!NkF1 OaX HJ^k Update #JHy[!4 Print "DONE!" IptB.bYc V.O<|tl. End Sub u<BHf@AI $w 5#2Za 如果屈光度是4,光瞳直径是4,则会输出如下数据: V,99N'o~x "H
wVK Accommodation = 4 Diopters z36brv<_'p Pupil Diameter = 4 mm R
(+h)#![ Set aqueous humor thickness = 2.81 Nv}U/$$S Set anterior lens radius = 10.4 and conic constant = -2.375869 Uqb]e?@ Set posterior lens radius = -4.424557 and conic constant = -3.081019 P]~N-xdV Set lens thickness = 3.927 B<vvsp\X Set lens index of refraction = 1.42672 [,.[gWA Set pupil diameter = 4 KqT#zj DONE! s{x*~M$vt
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