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简介 A4]s~Ur 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。 -^ C=]Medl Qr$;AZ G 模型 H
Tz kGN+rHo 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 bk\yCt06y; 5e fpeu Table 1. AZ眼睛模型的定义 &c*^VL\ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Zw~+Pb e~"fn*" 光源 5Fz.Y} O1`9Y}G(r 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 dzkw$m^@^ |#*'H*W 9,^_<O@Q 图1. 光源和提示信息使用 EKzAd 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。 \~5C7^_ jH6&q~# 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。 +EAT:, XyOl:>%L!P 图2. 字母F光源的设定方法光 !S_^94 b@ /AQMFx4-5 图3. 字母F在视网膜上位置点列图 T]?n)L,2 视网膜的散射 Dxk+P!!K %.z,+Zz? 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。 <2nZ&M4/s{ p^pOuy8 HyR!O> 图4. 视网膜朗伯散射设定 Wy%s1iu 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。 [S@}T
zE }E7:ihy W\L`5CW 图5. 视网膜重点采样规格设定 kMsnW}Nu 脚本 ~M(5Ho >pr=|$zk= 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: yu;SH[{Wi G\a8B#hg 图6. 用户对话框的创建与编辑 7^Yk`Z?|a 图7. 用户对话框编辑器 .T*GN|@$! 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。 E[^ {w 余下的脚本计算与屈光度有关的所有参数。 gp-T"l ZoB{x*IH 分析 UG<79"\i d|iy#hy"_ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
PTS]7 /NFz4h=> 图7. 字母F在视网膜上颜色分析 1lpwZ" 脚本代码 L.=w?%:H= Gxax2o Option Explicit 'Remove this to enable non-dimensioned variables to be used. qSejLh6 @;?T~^nGj Dim entity As T_ENTITY 8#&q$kE Dim op As T_OPERATION 1LY8Ma]E Dim mat As T_MODELMATERIAL WW@d:R Dim A As Double l)-Mq@V Dim pupilDiam As Double :>81BuMvg Dim eID As Long H- p;6C< Dim parID As Long h},oF!, Dim count As Integer _e7-zg$/ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ')N{wSM9Ft Dim tlens As Double, nlens As Double `.2hjO Dim curv As Double, conic As Double O0PJ6:9P Dim ok As Long jp+_@S> K]xa/G( Sub Main :ZDMNhUl
& 5ZY)nelc '用户输入对话框 "+uNmUUnm Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 TH &qX TextBox 220,21,40,21,.TextBox1 'default: 0 DSxUdEK6 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 "3F;cCDv] OKButton 40,91,90,21 }Up.){.% CancelButton 190,91,90,21 g`>og^7g Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ! <WBCclX TextBox 220,49,40,21,.TextBox2 'default: 4 |/ }\6L] End Dialog 1h7+@#<:a Dim dlg As UserDialog 9GdB#k6W` s9oO%e< ok = Dialog (dlg) j(#%tIv 9,]5v+ If ok=0 Then 'cancel button was pressed ejXMKPE; Print "Execution cancelled." aTzDew End gLsU:aeCT End If [\Qr. 2 HvxJj+X9 'Assign accommodation and pupil diameter & use defaults if field left empty g-vg6@6 If dlg.TextBox1 = "" Then $t-n'Qh^2 A = 0 'Default accommodation S.|FL%; Else j'p1q A = CDbl(dlg.TextBox1) (.3'=n|kE End If MEiRj]t \.gEh1HW If dlg.TextBox2 = "" Then !q"CV pupilDiam = 4 'Default pupil diameter @$eT~ C Else [hRU&z;W pupilDiam = CDbl(dlg.TextBox2) Vc3mp;6" End If y/c%+Ca/ Ov82ibp_1 Print " " rp7W
}P+uU Print "Accommodation = " & A & " Diopters" XUV!C7 Print "Pupil Diameter = " & pupilDiam & " mm" gBk5wk_j| <f~Fl^^8 ' Calculate new parameters with accommodation VK3it3FI>3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness kJ)gP 2E AAUyy
: Rant = 12.0 - 0.4*A 'Radius of anterior lens "'Z- UV CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens nkeI60
FnHi(S|A Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ]|:uU CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens =sOo:s @o e\"vz tlens = 3.767 + 0.04*A 'Lens thickness 9j|gdfb%ml `xKFqx:e nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction \0FT!}
L 4-v6=gz. 'Adjust parameters to account for accommodation 'q%%m/,VPQ o!&WsD '************************************************************************* F: 37MUQi 'Aqueous thickness (Position of Lens) BC\S/5~k '************************************************************************* gd^Js1Z eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X21dX`eMN GetCustomElement eID, entity s.jO<{ D!TZI parID = FindFullName( "Geometry.Arizona Eye" ) 7uI#L}y rU#li0
> ' Delete any shift(s) in z PQj<[rY count = 0 #%S0PL"x U While GetOperationCount(eID)>count PoD^`()FR{ GetOperation eID, count, op QYThW7S If op.Type="ShiftZ" Then 3 EYiQ` DeleteOperation eID,count (%<' A count=count-1 FE m=w2 End If ^lO76Dz~a count=count+1 So4nJ><p Wend ulXnq` E(L<L1:" 'Set new shift in &:#m&,tQ op.Type = "ShiftZ" ;6DnId2Zh op.val1 = taq WtX>Qu| op.parent = parID &/ouW'oP AddOperation eID, op NW.XA! =E) Print "Set aqueous humor thickness = " & taq-0.55 #o[\Dwu %%g-GyP
1 '************************************************************************* h[=nx^ 'Radius and conic constant of anterior lens YL5>V$i '************************************************************************* .RRlUWu eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) p#H]\P' GetConic eID, entity, curv, conic 68x}w
Ae m)f|:MM SetConic eID, entity, 1/Rant, CCant uu}-"/<~7 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant YBSl-G' mtw9AoO '************************************************************************* \{PNw F? 'Radius and conic constant of posterior lens +8^_D?*\n '************************************************************************* C{Blqf3V0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <TjBd1 GetConic eID, entity, curv, conic 5N1 K~". &=-PRza%j SetConic eID, entity, 1/Rpost, CCpost $A?}a Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost /4C`k=> dERc}oAh( '************************************************************************* 4r*Pa(;y 'Lens thickness (Position of posterior lens surface) oCJbkt= '************************************************************************* }aZrou3E :dDxxrs" parID = FindFullName( "Geometry.Arizona Eye.Lens" ) )vHi|~( B| Q6! ' Delete any z-shift(s) %CT!$Y'n count = 0 ]p$zvMf} While GetOperationCount(eID)>count $Sb@zLi) GetOperation eID, count, op :QKb#4/8; If op.Type="ShiftZ" Then l10-XU02 DeleteOperation eID,count uL>:tb count=count-1 nW&$~d End If ve%l({ count=count+1 m"-G6BKS Wend r~[B_f! r{V.jZ%p'Z 'Set new z-shift U_*3>Q op.Type = "ShiftZ" lJj&kVHb op.val1 = tlens 1NGyaI op.parent = parID I Tn;m AddOperation eID, op _m7co : Print "Set lens thickness = " & tlens 6UI>GQ LR\zy8y] '************************************************************************* ZeTL$E[E} 'Lens index of refraction `
@>ZGL: '************************************************************************* 3k{c$x} eID = FindMaterial( "Lens" ) @Mr}6x* GetModelMaterial eID, mat ^;64!BaK wWFW,3b mat.Nd = nlens \-G5l+! SetModelMaterial eID, mat TF)8qHy! u Print "Set lens index of refraction = " & nlens t
2G1[j! >D3zV.R '************************************************************************* @tQ2E}psP, 'Pupil diameter *2#FRA#q '************************************************************************* '^B3pR: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \6 LcV ik CLktNR(45 'Adjust pupil diameter (trimming volume inner hole) M1gP
R kdd7Xbw- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" sZEgsrJh ^#7viZ* ' Adjust pupil location to just in front of the lens {DS\!0T-X parID = FindFullName( "Geometry.Arizona Eye" ) L"9 Gc eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,W8au" count = 0 ,0.|P`|w While GetOperationCount(eID)>count 'XEK&Yi1 GetOperation eID, count, op aa!a&L|! If op.Type="ShiftZ" Then s79q5 DeleteOperation eID,count -sx-7LKi count=count-1 [[&)cbv End If _&K\D
p&@ count=count+1 "&Ff[O* Wend Lv^a+' op.Type = "ShiftZ" 9Yd-m op.val1 = taq-0.01 R;.d/U|av op.parent = parID 6_Fpca3L AddOperation eID, op Q+HZ?V( pNBa.4z: Print "Set pupil diameter = " & pupilDiam wYa0hNd tw]/,>\G 'Update AZ Eye subassembly Description i@Vs4E[b eID = FindFullName( "Geometry.Arizona Eye" ) |O%:P}6c GetEntity eID, entity OM1*Iy entity.Description = "Accommodation = " & A & "D" 17|@f SetEntity eID, entity sb`&bA;i /!:L7@BZ Update vs+We*8H Print "DONE!" >QA/Mi~R 2(hvv- End Sub KxGKA Tln9q0"W 如果屈光度是4,光瞳直径是4,则会输出如下数据: uSH>$;a 5FZ47m ~{Z Accommodation = 4 Diopters bx;yHIRb Pupil Diameter = 4 mm >7"$}5d Set aqueous humor thickness = 2.81 G OH Set anterior lens radius = 10.4 and conic constant = -2.375869 / *AJ+K._ Set posterior lens radius = -4.424557 and conic constant = -3.081019 VjC*(6<Gj Set lens thickness = 3.927 Oi6f8*, Set lens index of refraction = 1.42672 7s0)3HR} Set pupil diameter = 4 OiYNH~hv DONE! mJSK; @w<O E(7@'d{o (文章来源:讯技光电)
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