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^G38 #q W#>0U 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。 LqNyi "BZ@m:I6hy 模型 Wg2 0H23XW PkLNIp1 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。 "Q{l])N 3gnO)"$ Table 1. AZ眼睛模型的定义 1 jO%\uR/ 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. pw`'q(ad 6b9J3~d\E 光源 ,RW`9+gx lQEsa45 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。 Ubgn^+AI z:Z-2WV2o %k~ezn 图1. 光源和提示信息使用 M93*"jA 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。 pRd'\+ =3`|D0E 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。 K$w;|UJc Ay PtbrO 图2. 字母F光源的设定方法光 qDU4W7|T` g>k?03; 图3. 字母F在视网膜上位置点列图 DEbMb6)U 视网膜的散射 K/j u=> @_7rd 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。 _,IjB/PR( "eqzn KT%u o\]U;#YD 图4. 视网膜朗伯散射设定 `'&mO9,<- 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。 :H wdXhA6 Ln t 1 HUAYtUBH 图5. 视网膜重点采样规格设定 H5V>d 脚本 `(
w"{8laB xVgm 9s$"c 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: iJZNSRQJ}r 5-y*]:g( 图6. 用户对话框的创建与编辑 h(<>s#=E 图7. 用户对话框编辑器 >^GV
#z 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 V1pBKr)v 余下的脚本计算与屈光度有关的所有参数。 Dh}(B$~Oz+ 79D~Mau# 分析 :`Ut.E~. ~KYzEqy 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 W]bgWKd fGqX
dlP 图7. 字母F在视网膜上颜色分析 &pjj 脚本代码 ^g5E&0a`g EwkSUA>Tm Option Explicit 'Remove this to enable non-dimensioned variables to be used. $;'M8L .a7RGT3]m Dim entity As T_ENTITY miu?X ! Dim op As T_OPERATION =QGmJ3 Dim mat As T_MODELMATERIAL ^L)TfI_n Dim A As Double GBT|1c'i Dim pupilDiam As Double `GdH ,:S> Dim eID As Long FO%pdLs, Dim parID As Long 'Grii, Dim count As Integer |R _rfJh Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double &(A#F[ =0 Dim tlens As Double, nlens As Double GK!@|Kk8q7 Dim curv As Double, conic As Double xr7}@rq"U< Dim ok As Long M<d!j I9) tx~,7TMS/ Sub Main _#NibW IZ7o6Etti '用户输入对话框 lwrh4<~\,* Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 aHmg!s}& TextBox 220,21,40,21,.TextBox1 'default: 0 iw3\`,5
Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ",D!8>=s OKButton 40,91,90,21 )Uy%iE* CancelButton 190,91,90,21 U|V,&RlbR Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Tx!t3;Yz[ TextBox 220,49,40,21,.TextBox2 'default: 4 Mms|jFoQ End Dialog _uLpU4# ? Dim dlg As UserDialog jwa6`u #dL,d6a ok = Dialog (dlg) wbrOL(q.m ]oVP_ &E If ok=0 Then 'cancel button was pressed 6QCVi Print "Execution cancelled." Z4Dx:m- End 7@%qm|i>w End If ndzADVP `;+x\0@< 'Assign accommodation and pupil diameter & use defaults if field left empty ]vvA]e If dlg.TextBox1 = "" Then I9qFXvqL A = 0 'Default accommodation /MY's&D( Else L"vrX A = CDbl(dlg.TextBox1) v_EgY2l( End If zGR,}v%% 19qHWU^0V If dlg.TextBox2 = "" Then M,@M5o2u pupilDiam = 4 'Default pupil diameter gv>DOez/ Else ;mQ|+|F6X pupilDiam = CDbl(dlg.TextBox2) k>mXh{( End If V 97ORI pxgf%P<7 Print " " r9WR1&T) Print "Accommodation = " & A & " Diopters" 5=I({=/> Print "Pupil Diameter = " & pupilDiam & " mm" #p>&|I kC%H E ' Calculate new parameters with accommodation [|oG}'Xz taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness d{JI]
! oSD=3DQ; Rant = 12.0 - 0.4*A 'Radius of anterior lens M$%ON>Kq CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 6E-eD\?I& v#&;z_I+ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ~6n|GxR.[ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens A{T9-f@X @I?,!3`jS tlens = 3.767 + 0.04*A 'Lens thickness zPp22 s_/@`kd{ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction =o~+R\1ux+ ^3$U[u%q/{ 'Adjust parameters to account for accommodation `WOoC X-((
[A '************************************************************************* >^Wpc 'Aqueous thickness (Position of Lens) _Sfu8k>): '************************************************************************* Zt!$"N., eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T$"~Vu GetCustomElement eID, entity #1E4
R}B 'RKpMdoz parID = FindFullName( "Geometry.Arizona Eye" ) 3-hcKE >;,23X ' Delete any shift(s) in z / ^d9At614 count = 0 A?#i{R While GetOperationCount(eID)>count 4AJT)I. GetOperation eID, count, op 1a(\F7 If op.Type="ShiftZ" Then #;a+)~3*O DeleteOperation eID,count )jgz(\KZ count=count-1 ME]4tu End If f|B\Y/*X count=count+1 qfl!>
Wend ,Ohhl`q( ]rj~3du\ 'Set new shift in 0vfMJzk op.Type = "ShiftZ" ^UKY1Q. op.val1 = taq g]L8Jli op.parent = parID \-]Jm[]^ AddOperation eID, op Al*=%nY Print "Set aqueous humor thickness = " & taq-0.55 J' P:SC1 "r@#3T$ '************************************************************************* fDns r"T 'Radius and conic constant of anterior lens ~3j+hN8< '************************************************************************* 5A`>3w{3n eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) elGBX
h GetConic eID, entity, curv, conic 6O{QmB0KK e_ epuki SetConic eID, entity, 1/Rant, CCant 9)vU/fJ| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant )J @[8 x` >l)x~Bkf$j '************************************************************************* n$SL"iezW? 'Radius and conic constant of posterior lens _@XueNU1hS '************************************************************************* ,0h{RZKw eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) TDR|*Cs GetConic eID, entity, curv, conic w,j!%N P{K\}+9F
SetConic eID, entity, 1/Rpost, CCpost 1YMi4. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost OXM=@B<" Pzzzv^+ '************************************************************************* b*h:e.q 'Lens thickness (Position of posterior lens surface) {=
&&J@: '************************************************************************* >Vq07R |khFQ( parID = FindFullName( "Geometry.Arizona Eye.Lens" ) :*
|WE29U OCdX'HN5Y ' Delete any z-shift(s) "6%{#TZ count = 0 x'}zNEXI While GetOperationCount(eID)>count H?r~% bh GetOperation eID, count, op Pl'lmUR If op.Type="ShiftZ" Then <ndY6n3 DeleteOperation eID,count \kyoA
Z count=count-1 apJXRH` End If -2}ons( count=count+1 Z:h'kgG & Wend *^[6uaa Adiw@q1& 'Set new z-shift k}g4? op.Type = "ShiftZ" NKFeND op.val1 = tlens 3'L =S op.parent = parID $ZyOBxI AddOperation eID, op 6rE8P# Print "Set lens thickness = " & tlens :yJ#yad fGeie m '************************************************************************* {Q$8p2W 'Lens index of refraction eVMnI yr '************************************************************************* ;>ml@@Z eID = FindMaterial( "Lens" ) :##$-K*W" GetModelMaterial eID, mat t;3).F `Zmdlp@ mat.Nd = nlens =YO<.(Lu SetModelMaterial eID, mat N\]-/$ z Print "Set lens index of refraction = " & nlens T-4dD EY !o#m '************************************************************************* f\$_^dV 'Pupil diameter !}x-o`a5 '************************************************************************* FU*q9s ` eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 45-x$o &QQ6F>'T 'Adjust pupil diameter (trimming volume inner hole) @`B_Q v@ >f&L7@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" TT;ls<(Lg dhP")@3K;p ' Adjust pupil location to just in front of the lens g*_n|7pB parID = FindFullName( "Geometry.Arizona Eye" )
N8x&<H eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PpLhj count = 0 ^pY8'LF6 While GetOperationCount(eID)>count #d<"Ub GetOperation eID, count, op w?*79 u If op.Type="ShiftZ" Then ep5`&g]3 DeleteOperation eID,count SCn)j:gH; count=count-1 _@)-#7 End If S~m8j|3K count=count+1 p/LV^TQ Wend ^XYK
}J op.Type = "ShiftZ" Ke#Rkt op.val1 = taq-0.01 =_N$0 op.parent = parID pIpdVKen AddOperation eID, op EcytNYn X<W${L$G Print "Set pupil diameter = " & pupilDiam 3 TV4|&W; XCxxm3t 'Update AZ Eye subassembly Description eq"Xwq* eID = FindFullName( "Geometry.Arizona Eye" ) l*CCnqE GetEntity eID, entity =%I;Y& K entity.Description = "Accommodation = " & A & "D" icVB?M,m SetEntity eID, entity "Il)_Ui O\=Zo9(NHF Update f*xv#G Print "DONE!" G<rAM+B*g e^;:iJS End Sub 'F/uD1; l LBzY`j 如果屈光度是4,光瞳直径是4,则会输出如下数据: Zv
mkb%8 'vq0Tw5 Accommodation = 4 Diopters 23houS Pupil Diameter = 4 mm QAl4w)F Set aqueous humor thickness = 2.81 muK.x7zyl Set anterior lens radius = 10.4 and conic constant = -2.375869 !lZ}kz0 Set posterior lens radius = -4.424557 and conic constant = -3.081019
noB8*n0 Set lens thickness = 3.927 B=r+
m;( Set lens index of refraction = 1.42672 h^,L) E Set pupil diameter = 4 o7PS1qcya< DONE! \j.l1O >lJTS t5{ K0I.3|6C QQ:2987619807 f\RTO63|O
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