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简介 -S,ir /%uZKGP 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。 u1;e*ty ]~\SR0 模型 2JA&{ch fsrg2:kQ 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。 s0)qlm*
N8kb-2 Table 1. AZ眼睛模型的定义 )7I.N]= 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. TDl!qp @ HTDyuqs 光源 y'_V/w s Q.9Ph
~ 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。 kj{rk^x //X e*0 of+phMev 图1. 光源和提示信息使用 yZ;k@t_WRD 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。 kJurUDo XWUvP 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。 f/0v'
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#Xy0u 图2. 字母F光源的设定方法光 }_a+X hy$MV3LP 图3. 字母F在视网膜上位置点列图 Et}C`vZ+Ve 视网膜的散射 HzD> -f `R=a@DQ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 23}BW_m 28T\@zi b`h%W"|2L 图4. 视网膜朗伯散射设定 ~T>jBYI0 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 nr<WO~Xw~ RwAbIXG{0 aCU7w5 图5. 视网膜重点采样规格设定 x{NNx:T1 脚本 ><;l:RGK| L.09\1?.n 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: r@*=|0(OrK ).0V%}> 图6. 用户对话框的创建与编辑 ="3a%\ 图7. 用户对话框编辑器 WFU?o[k-O 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 l zfD)TWb 余下的脚本计算与屈光度有关的所有参数。 _`bS[%CJ {B FT 分析 JqI6k6~Q^ v87$NQvwQ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 M1AZ}bc0] @9OeC
O 图7. 字母F在视网膜上颜色分析 =cf{f]N 脚本代码 )"(V*Z *.kj]BoO Option Explicit 'Remove this to enable non-dimensioned variables to be used. P$p@5 hl sg3h i"Im Dim entity As T_ENTITY KI Ek/]<H Dim op As T_OPERATION -Wl)Lez@ Dim mat As T_MODELMATERIAL PHQ{-b?4t Dim A As Double :D"@6PC] Dim pupilDiam As Double y#b;uDY Dim eID As Long <A#5v\{.;~ Dim parID As Long IXGW2z; Dim count As Integer LQh^;
]^( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double M*d-z Dim tlens As Double, nlens As Double 2Ryp@c&r^ Dim curv As Double, conic As Double jg~_'4f# Dim ok As Long HA$Y1} q{a#HnZo" Sub Main >?S\~Y "#*Nnt '用户输入对话框 B }6Kd Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 NNwc!x)* TextBox 220,21,40,21,.TextBox1 'default: 0 ~k9O5S{ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 F|ETug
n OKButton 40,91,90,21 CfQf7- CancelButton 190,91,90,21 }C=Quy%Z< Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 'eqiYY| TextBox 220,49,40,21,.TextBox2 'default: 4 @q,)fBZq End Dialog 'b8R#R\P Dim dlg As UserDialog aQ&uC )w {J{1`@ ok = Dialog (dlg) jyNb(Z FI\IY
R If ok=0 Then 'cancel button was pressed fCLcU@3W? Print "Execution cancelled." -r!42`S End /
>%L[RJ4 End If j2M4H@ K6E}";; 'Assign accommodation and pupil diameter & use defaults if field left empty hQJo~'W= If dlg.TextBox1 = "" Then >W'j9+Va A = 0 'Default accommodation [1NaH Else <lFdexH"T A = CDbl(dlg.TextBox1) 8fnR1mWG End If ]K7`-p~T (/'h4KS@ If dlg.TextBox2 = "" Then :JR<SFjm pupilDiam = 4 'Default pupil diameter FS8S68 Else @\ }sb] pupilDiam = CDbl(dlg.TextBox2) jM*AL
X End If 7k `_# 3:UA<&=s Print " " UIn^_}jF` Print "Accommodation = " & A & " Diopters" d^tVD`Fm Print "Pupil Diameter = " & pupilDiam & " mm" N3ZiGD t')h{2&&!2 ' Calculate new parameters with accommodation jA,|JgN|n taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness h77IWo6% Lj iI+NJ Rant = 12.0 - 0.4*A 'Radius of anterior lens )`<6taKx@n CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens lDC}HC |-n
('gQ[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens )U'yUUi CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 85}
ii{S p zg&/m&F` tlens = 3.767 + 0.04*A 'Lens thickness D{R/#vM jk <^Nk.E nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction dsK/6yu @LcT-3 u 'Adjust parameters to account for accommodation SBX|Bcyk* u%xDsTDP '************************************************************************* b"t")U== 'Aqueous thickness (Position of Lens) ~6kJ~R4 '************************************************************************* O] H=s eID = FindFullName( "Geometry.Arizona Eye.Lens" ) uWTN2jr GetCustomElement eID, entity k Q~ %=pn EMhr6</ parID = FindFullName( "Geometry.Arizona Eye" ) t=i/xG: 5 `dO}L ' Delete any shift(s) in z YN^T$,* count = 0 O^0" While GetOperationCount(eID)>count ;b1wk^,Hw~ GetOperation eID, count, op /~*Cp9F"] If op.Type="ShiftZ" Then S*g`d;8gV DeleteOperation eID,count xZyeX34{M; count=count-1 UW/N MjK End If T/5"}P` count=count+1 )tD6=Iz^5 Wend ~0ooRUWU7 Mn@$;\: 'Set new shift in r4?b0&Xq op.Type = "ShiftZ" >t0%?wj)Y op.val1 = taq +2Ql~w@$^l op.parent = parID 61Bhm:O5W AddOperation eID, op 69/?7r Print "Set aqueous humor thickness = " & taq-0.55 88g47>{X s^cc@C '************************************************************************* {i>Jfl]G} 'Radius and conic constant of anterior lens thptm '************************************************************************* 5oJ Dux } eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) z,x"a GetConic eID, entity, curv, conic ,1
P[ ~ezCu_ SetConic eID, entity, 1/Rant, CCant /$:U$JVb?l Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant jTfi@5aPY SX+4HJB '************************************************************************* vbp-`M( 'Radius and conic constant of posterior lens %`+'v_iu '************************************************************************* x@m<Ym- eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" )
c#QFG1 GetConic eID, entity, curv, conic Qn.[{rw QrC/ssf} SetConic eID, entity, 1/Rpost, CCpost VNj@5s Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 8;#AO8+U7) -72j:nk '************************************************************************* 9tk" :ld 'Lens thickness (Position of posterior lens surface) IqUp4} '************************************************************************* J>%t<xYf4 LeHiT>aX! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) FVgMmYU
V7C1FV2 ' Delete any z-shift(s) rl?7W]; count = 0 @o#+5P While GetOperationCount(eID)>count Uo6(|mm GetOperation eID, count, op w^{!U If op.Type="ShiftZ" Then .GCR!V DeleteOperation eID,count 2+'|kt2 count=count-1 &g0g]G21*I End If yN\e{;z` count=count+1 U-EhPAB@ Wend ?2ItB `<( #s2B%X 'Set new z-shift [AR>?6G- op.Type = "ShiftZ" DZs^ 2Zc op.val1 = tlens p<5!02yQ\ op.parent = parID B1$ikY AddOperation eID, op >SDpuG&> Print "Set lens thickness = " & tlens 0E6lmz`O jPk
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+ '************************************************************************* KG8W8&q 'Lens index of refraction tZA: '************************************************************************* )~
z Z'^ eID = FindMaterial( "Lens" ) | ^GyH$. GetModelMaterial eID, mat i:Y\`J zOGR+Gq_Z mat.Nd = nlens U<Jt50O SetModelMaterial eID, mat jGD%r~lN Print "Set lens index of refraction = " & nlens ."mlSW"Wm vPmnN^ '************************************************************************* |!LnAh 'Pupil diameter 2
9#]Vr '************************************************************************* ?QpNjsF eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3KcaT5(& 3t(c_:[% 'Adjust pupil diameter (trimming volume inner hole) ^od<JD4 HZZDv+ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2o5;Uz1{ `;F2n2@ ' Adjust pupil location to just in front of the lens 6RK\}@^=K parID = FindFullName( "Geometry.Arizona Eye" ) k^An97J eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) p=gX!4,9< count = 0 - k`.j While GetOperationCount(eID)>count it1/3y
=] GetOperation eID, count, op `.^ |]|u If op.Type="ShiftZ" Then z%:1) DeleteOperation eID,count [uR/M count=count-1 ?CY1]d End If 'fY9a(Xt. count=count+1 8&E}n(XE Wend CMl~=[foW op.Type = "ShiftZ" -MfQ&U op.val1 = taq-0.01 FtIa*j^G op.parent = parID ;dQAV\ AddOperation eID, op 9DE)S)e8 g`?:=G:a* Print "Set pupil diameter = " & pupilDiam tu}>:mk U<bYFuS" 'Update AZ Eye subassembly Description l[%lE eID = FindFullName( "Geometry.Arizona Eye" ) /fwgqFVk GetEntity eID, entity =+oZtP-+o entity.Description = "Accommodation = " & A & "D" #Ufo)\x SetEntity eID, entity tZho)[1 %Q4i%:Qi Update {THqz$KN Print "DONE!" &s
VadOBQ G]*|H0j End Sub bQQVj?8jp qO()w 如果屈光度是4,光瞳直径是4,则会输出如下数据: J?Iq9f 3 QCVgo
i\ Accommodation = 4 Diopters $YM_G=k Pupil Diameter = 4 mm ^^}Hs-{T Set aqueous humor thickness = 2.81 EUcKN1 Set anterior lens radius = 10.4 and conic constant = -2.375869 {9'M0= Set posterior lens radius = -4.424557 and conic constant = -3.081019 EW(J5/mn Set lens thickness = 3.927 Yx%bn?%;& Set lens index of refraction = 1.42672 [m2+9MMl Set pupil diameter = 4 !O)qYmK]| DONE! fN[8N$1-
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