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简介 qd(hQsfqYU o](.368+4 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。 dtTlIhh1V C +@ i 模型 Pux)>q] C xR}of" 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。 ^'W%X ^:z7E1~ Table 1. AZ眼睛模型的定义 V(..8}LlD 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. ";dU-\3M fU
={a2 光源 61:9(*4~!F x'i0KF 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。 MaErx\ P)1EA; VDiOO 图1. 光源和提示信息使用 nh;y:Bi 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。 0N5bPb $1e pf 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。 @L8;VSI f_'"KF[% 图2. 字母F光源的设定方法光 OX3Xy7 >76 |:Nq 图3. 字母F在视网膜上位置点列图 1b[NgOXY= 视网膜的散射 ; )|nkI jw4TLc7p 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。 JqEb;NiP)5 e=J*Esc@k F*\4l;NJ 图4. 视网膜朗伯散射设定 Z =
ik{/ 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。 |j#
^@R -0DZ:: hBy*09Sv 图5. 视网膜重点采样规格设定 0BDS_Rx 脚本 vZk9gGjk }!B.K^@) 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: H:MUNc8i {aIZFe}B 图6. 用户对话框的创建与编辑 EL +,jrU~ 图7. 用户对话框编辑器 PUKVn+h 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。 AY;<q$8j%, 余下的脚本计算与屈光度有关的所有参数。 xB,/dMdTj z Lw(@& 分析 5M.Red.L 6sy,A~e 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >~wu3q 'M-)Os" 图7. 字母F在视网膜上颜色分析 ^'YHJEK 脚本代码 !ew6
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I 8<c'x]~ Option Explicit 'Remove this to enable non-dimensioned variables to be used. D!me%; 2-7Z(7G{ F Dim entity As T_ENTITY Gw`/.0 Dim op As T_OPERATION 3P`WPph Dim mat As T_MODELMATERIAL ZQ|gt* Dim A As Double Z9f/-|r5 Dim pupilDiam As Double Y{j7Q4{ Dim eID As Long QA,*:qx Dim parID As Long %2YN,a4 Dim count As Integer IywiCMjH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double cqjl5UB Dim tlens As Double, nlens As Double t)!V+Qcb Dim curv As Double, conic As Double "u5KbJW Dim ok As Long xyvND A$ J9U3+O Sub Main ;t~*F#p(! h,~tXj '用户输入对话框 0}D-KvjyP Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Wt"ww~h`( TextBox 220,21,40,21,.TextBox1 'default: 0 Q-3r}jJe Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 $)f"K OKButton 40,91,90,21 6N?#b66 CancelButton 190,91,90,21 hd8B0eD' Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 cB<O.@ TextBox 220,49,40,21,.TextBox2 'default: 4 ~;!BDLMC6 End Dialog X'xUwT|_+ Dim dlg As UserDialog A`IHP{aB 73VQ@Jn ok = Dialog (dlg) %fBP:5%K ^?nP$+gq If ok=0 Then 'cancel button was pressed m|lM.]2_ Print "Execution cancelled." {wHvE4F2 End blUY.{NN3 End If aj?2jU~Pq 9lKRL'QR 'Assign accommodation and pupil diameter & use defaults if field left empty 3hH>U%`- If dlg.TextBox1 = "" Then WqR7uiCi A = 0 'Default accommodation WX ,p`>n Else :Jm!=U%'Z A = CDbl(dlg.TextBox1) '!AT End If
[A|(A$jl `t%|.=R If dlg.TextBox2 = "" Then [;*\P\Xih pupilDiam = 4 'Default pupil diameter ftxTX3X Else y2GQN:X pupilDiam = CDbl(dlg.TextBox2) gU~
L@R_D End If (x}A_i b-2pzcK{# Print " " k]t,q$Vd Print "Accommodation = " & A & " Diopters" 8~;{xYN ) Print "Pupil Diameter = " & pupilDiam & " mm" U&`6&$] Ywmyr[Uh' ' Calculate new parameters with accommodation YXgWH'i~ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness :,jPNuOA EG%I1F% Rant = 12.0 - 0.4*A 'Radius of anterior lens DQ%`v= CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens @51z-T dr.**fGYde Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 5QKRI)XpZ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens d8rBu jT vz- 9<w;>a tlens = 3.767 + 0.04*A 'Lens thickness *U:VM'a F
~*zC`>Y nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction aXQ&@BZ{j ?Y%}(3y 'Adjust parameters to account for accommodation %B[YtWqm`/ 3(MoXA* '************************************************************************* 6euR'd^Qi 'Aqueous thickness (Position of Lens) 2@rp<&s '************************************************************************* ~(stA3]k eID = FindFullName( "Geometry.Arizona Eye.Lens" ) t#a.}Jl GetCustomElement eID, entity wj}=@HS,3! <_=JMA5 parID = FindFullName( "Geometry.Arizona Eye" ) ur?d6a XAw2 X;F% ' Delete any shift(s) in z ~azF+}x90N count = 0 zB;'_[8M While GetOperationCount(eID)>count 7We?P,A\; GetOperation eID, count, op 2j2mW>Z If op.Type="ShiftZ" Then 2r
%>]y DeleteOperation eID,count @P*ylB}?Q count=count-1 Y=AH%Gy9) End If I).=v{@9V< count=count+1 J>&[J!>r Wend s[Y)d>~\$= ,jAx%]@,I 'Set new shift in VEL:JsY op.Type = "ShiftZ" \El|U#$u' op.val1 = taq XPar_8I op.parent = parID 3X,]=f@_ AddOperation eID, op eL<m.06cfY Print "Set aqueous humor thickness = " & taq-0.55 ~D<7W4c E~'q?LJOB '************************************************************************* 98X!uh' 'Radius and conic constant of anterior lens 2b; rr '************************************************************************* i6-wf Gs; eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) X(4s;i GetConic eID, entity, curv, conic J@oEV=L 7xX;MB& SetConic eID, entity, 1/Rant, CCant "2*G$\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]ev *m&O suA+8}o] '************************************************************************* s@[C&v 'Radius and conic constant of posterior lens u)<Ysx8G '************************************************************************* k\sc }z8X eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ly#h|) GetConic eID, entity, curv, conic \;nD)<)J Xg|8".B)A SetConic eID, entity, 1/Rpost, CCpost Nr>c'TH Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 1~["{u @N,:x\
'************************************************************************* (%``EIc<8 'Lens thickness (Position of posterior lens surface) |pfhrwJp '************************************************************************* 6a "VCE] OpW eW parID = FindFullName( "Geometry.Arizona Eye.Lens" ) X=rc3~}f *>H M$.?Q ' Delete any z-shift(s) $sU5=, count = 0 =gxgS<bde While GetOperationCount(eID)>count 08<k'Oi] GetOperation eID, count, op i_j9/k If op.Type="ShiftZ" Then 4yA9Ni DeleteOperation eID,count 7Vz[ji count=count-1 08TaFzP81 End If b@nri5noBm count=count+1
3MNhH Wend >yV)d/ r
Iya\z1W 'Set new z-shift Ss"|1]acP op.Type = "ShiftZ" w.4u=e >Z4 op.val1 = tlens pFpQ\xc9$ op.parent = parID YQN]x}:E+4 AddOperation eID, op ,pQ'w7 Print "Set lens thickness = " & tlens 3a'Rs{qxn
Sqp;/&Ji '************************************************************************* Ze[g0" 'Lens index of refraction mQwk!* U '************************************************************************* fe&
t- eID = FindMaterial( "Lens" ) %8}WX@SB GetModelMaterial eID, mat _&k'j)rg `jD8(}_ mat.Nd = nlens /0B07B SetModelMaterial eID, mat uE,i-g0$Id Print "Set lens index of refraction = " & nlens {AU` }*5 8ktjDs$=.: '************************************************************************* Nz(c"3T; 'Pupil diameter e3yorQ][ '************************************************************************* )bB"12Z|8 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) _aXP
;kFMi 1kB'sc3N! 'Adjust pupil diameter (trimming volume inner hole) {pcf;1^t 4_6W s$x SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" d-6sC@PB P?Gd}mdX?m ' Adjust pupil location to just in front of the lens ql#{=oGDnA parID = FindFullName( "Geometry.Arizona Eye" ) +z]:CF eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) lfU"SSQ count = 0 Z^/z While GetOperationCount(eID)>count HMEs8. GetOperation eID, count, op gmF_~"^34 If op.Type="ShiftZ" Then
D\45l DeleteOperation eID,count H{ n>KZ]\ count=count-1 &y#\1K End If I2t-D1X count=count+1 !#,- Wend B|]t\(~$[ op.Type = "ShiftZ" 7AGZu?1]M op.val1 = taq-0.01 (c|$+B^* op.parent = parID S7?f5ux AddOperation eID, op 7
SjF9x .NV)hg)|cZ Print "Set pupil diameter = " & pupilDiam <'>d0:>N U(S@1i( 'Update AZ Eye subassembly Description /?.r!Cp eID = FindFullName( "Geometry.Arizona Eye" ) mC{!8WC@k GetEntity eID, entity dyQ<UT entity.Description = "Accommodation = " & A & "D" /ctaAQDUh\ SetEntity eID, entity qHC*$v#.V? c"f-$^< Update Y5h)l<P>B Print "DONE!" b.mjQ Mv7w5vTl End Sub +YQ)}v J[&
7,} 如果屈光度是4,光瞳直径是4,则会输出如下数据: {|Mxvp*Hg wRV`v$*6 Accommodation = 4 Diopters E5Snl#Gl\0 Pupil Diameter = 4 mm =#POMK".6 Set aqueous humor thickness = 2.81 M@!]U:5~V Set anterior lens radius = 10.4 and conic constant = -2.375869 ;9!yh\\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 y]E)2:B[d Set lens thickness = 3.927 2#$}yP~ Set lens index of refraction = 1.42672 T 9<H%iF Set pupil diameter = 4 JL]k:i^`A DONE! uusY,Dt/9 HonAK Ru9pb~K QQ:2987619807 +e\:C~2f28
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