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简介 b0/YX@ 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。 {1_<\~J -u7NBtgUh 模型 .SLpgYFL{ k }{o:
N 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。 q65]bs4M MsZx 0] Table 1. AZ眼睛模型的定义 sjOv!|]A 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.
peHjKK 4K\o2p?4 光源 sH>`eqY =~"X/>' 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。 %ZcS"/gf (S4HU_,88 f5p/cUzX 图1. 光源和提示信息使用 3 yw$<lm 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 QT5pn5+ z `x=$n5=8 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。 D.-G!0! 1szObhN-l 图2. 字母F光源的设定方法光 *?*~<R in5e * 图3. 字母F在视网膜上位置点列图 [Y~~C J 视网膜的散射 (@qPyM6~} m"-kkH{I 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。 |N^"?bSt `GkCOx, Faa>bc~E 图4. 视网膜朗伯散射设定 0w:
3/WO 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。 `N&*+!O% /G|v.#2/g "*t0
t 图5. 视网膜重点采样规格设定 :8]8[ 脚本 IuT)?S7O*k @?3^Ks_ 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: i]N<xcF9N* o2=):2x
r{ 图6. 用户对话框的创建与编辑 h_{f_GQ" 图7. 用户对话框编辑器 8zpzVizDG 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。 QeC\(4? 余下的脚本计算与屈光度有关的所有参数。 7y&6q`y E 'l=>H#}<B 分析 J
<;xkT1x N$=9R 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .ARM~{q6)@ IG# wY 图7. 字母F在视网膜上颜色分析 k*n~&y: O 脚本代码 %#rtNDi Nf<f}` Option Explicit 'Remove this to enable non-dimensioned variables to be used. b_ak@LYiu ZG2EOy Dim entity As T_ENTITY tk R~(h Dim op As T_OPERATION ]hS<"=oj Dim mat As T_MODELMATERIAL K!Fem6R Dim A As Double -3i(N.)<; Dim pupilDiam As Double Y.) QNTh Dim eID As Long <" nWGF4d Dim parID As Long qD4s?j-9 Dim count As Integer yf0v,]v[ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double A$N%deb Dim tlens As Double, nlens As Double qR!ZtJ5j Dim curv As Double, conic As Double m~*qS4 Dim ok As Long 0 K#|11r K}cA%Y Sub Main
$u.rO7) G![d_F"e '用户输入对话框 D4@?>ek6U Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 |" WL TextBox 220,21,40,21,.TextBox1 'default: 0 ?8{Os;!je Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 :e=7=|@7 OKButton 40,91,90,21 W{.:Cf9 CancelButton 190,91,90,21 qbsod Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 yNXYS TextBox 220,49,40,21,.TextBox2 'default: 4
sZCK? End Dialog ]
1pIIX} Dim dlg As UserDialog i8k} B
o ]|eMEN[' ok = Dialog (dlg) :0Jn`Ds4o +B " aUF If ok=0 Then 'cancel button was pressed AV2Jl"1)z Print "Execution cancelled." w-ald?` End v~Dobk/n End If ~`&4?c3p
..E_M$} 'Assign accommodation and pupil diameter & use defaults if field left empty s=-?kcoJ2d If dlg.TextBox1 = "" Then 1Z)P.9c A = 0 'Default accommodation ?i0+h7=6 Else ]gVA6B?&9 A = CDbl(dlg.TextBox1) .<>t2,Af End If ^|.T\ zA6C{L G3 If dlg.TextBox2 = "" Then 0ZDm[#7z pupilDiam = 4 'Default pupil diameter 0J'Cx&Rg Else kVM*[<k pupilDiam = CDbl(dlg.TextBox2) 9&=%shOc+x End If g]HWaFjc5 USN'-Ah Print " " \mGb|aF8 Print "Accommodation = " & A & " Diopters" q`{@@[/(y Print "Pupil Diameter = " & pupilDiam & " mm" XchD3p+uB xj U0& ' Calculate new parameters with accommodation sj&(O@~R taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness
dnC"` #e-7LmO~ Rant = 12.0 - 0.4*A 'Radius of anterior lens &$CyT6mb^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 9NVtvBA 89D`!`Ah] Rpost = -5.224557 + 0.2*A 'Radius of posterior lens rwUhNth-Qh CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens O}cfb4" p+b9D tlens = 3.767 + 0.04*A 'Lens thickness hl**G4z9q i: UN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction DL~!
^fx 2 N &B 'Adjust parameters to account for accommodation Et*LbU E#m^.B-} '************************************************************************* uv$5MwKU 'Aqueous thickness (Position of Lens) 8i`T?KB '************************************************************************* teDRX13=; eID = FindFullName( "Geometry.Arizona Eye.Lens" ) `O3#/1+ GetCustomElement eID, entity F czia0@z oSMIWwg7G parID = FindFullName( "Geometry.Arizona Eye" ) K
~\b+ K6B6@ ' Delete any shift(s) in z AX@bM count = 0 !$iwU3~< While GetOperationCount(eID)>count MJe/ \ GetOperation eID, count, op %`G}/" If op.Type="ShiftZ" Then NPBOG1q% DeleteOperation eID,count kH0kf-4\ count=count-1 lp$,`Uz` End If e'npa*.e count=count+1 U/U_q-z] Wend .ejC#vB{KM su\Lxv
'Set new shift in E?K(MT&@ op.Type = "ShiftZ" U.^%7. op.val1 = taq tJd/uQJ op.parent = parID k~<ORnda AddOperation eID, op 0\ j)!b Print "Set aqueous humor thickness = " & taq-0.55 2V9"{F? @d3yqA
'************************************************************************* yyVJb3n5:! 'Radius and conic constant of anterior lens bsc b '************************************************************************* m7>)p]] eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) M#],#o*G GetConic eID, entity, curv, conic |9CPT%A# b7M ) SetConic eID, entity, 1/Rant, CCant )J\
JAUj Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant M _Lj5` +Sv2'& B '************************************************************************* 0R+<^6^l) 'Radius and conic constant of posterior lens i}:^<jDv? '************************************************************************* i"!j:YEo eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 1RQM-0W, GetConic eID, entity, curv, conic QA!'p1{# ![%:X)? SetConic eID, entity, 1/Rpost, CCpost +>mU4Fwp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Y-DHW/Z~ OOus*ooo2 '************************************************************************* c&L|e$C] 'Lens thickness (Position of posterior lens surface) :(jovse\ '************************************************************************* ]CnT4[f! z{>
)'A/ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) [py/\zkn ;ahI}} ' Delete any z-shift(s) $>l65)(E\ count = 0 ve/|"RB While GetOperationCount(eID)>count Qo["K}Ty GetOperation eID, count, op <^A1.o<GN If op.Type="ShiftZ" Then /Q9iO&Vu DeleteOperation eID,count kvt"7;( count=count-1 wAF#N1-k End If >RmL0d#B count=count+1 6k\8ulHw Wend $xj>j -v WXL 'Set new z-shift +u7nx op.Type = "ShiftZ" \G]vTK3 op.val1 = tlens 6$$ku op.parent = parID <m?/yREK2 AddOperation eID, op ~c
GH+M@ Print "Set lens thickness = " & tlens @z.HyQ_v -+|{#cz '************************************************************************* +Xr87x; 'Lens index of refraction O:O
+Q!58 '************************************************************************* Nf{tC9l eID = FindMaterial( "Lens" ) p8u-3 GetModelMaterial eID, mat Rwz (20n\^ uQg&A`4 mat.Nd = nlens yy3-Xu4 SetModelMaterial eID, mat {W# VUB Print "Set lens index of refraction = " & nlens Q pbzx/2h !Ry4w|w '************************************************************************* yB^_dE 'Pupil diameter *e-+~/9~ '************************************************************************* 7(= 09z eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) o4pe>hn 3LD`Ep
'Adjust pupil diameter (trimming volume inner hole) 0j|JyS:}G Jq?"?d|: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" iYxpIqWw l+8G6?@]> ' Adjust pupil location to just in front of the lens $5/lU
}To parID = FindFullName( "Geometry.Arizona Eye" ) 41`&/9:"_M eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "@)9$-g count = 0 '&$xLZ8 While GetOperationCount(eID)>count HBnnIbEtF' GetOperation eID, count, op p8MPn>h< If op.Type="ShiftZ" Then :s OsG&y DeleteOperation eID,count VpkkiN count=count-1 -gKo@I End If U:
Q&sq8U count=count+1 qB IKJ Wend aC2\C=ru_ op.Type = "ShiftZ" `[Xff24(eb op.val1 = taq-0.01 (>\w8] op.parent = parID }EZd=_kAq~ AddOperation eID, op Z6`[dAo PKM8MYvo Print "Set pupil diameter = " & pupilDiam 2aUy1*aM RK`C31Ws 'Update AZ Eye subassembly Description XZFM|=%X eID = FindFullName( "Geometry.Arizona Eye" ) !
uyC$8V*l GetEntity eID, entity *^&2L,w entity.Description = "Accommodation = " & A & "D" Bzw!,(u/
" SetEntity eID, entity Z>H
y+Q4 kW@,P.88 Update B@W`AD1^{ Print "DONE!" <X_I` oopACE> End Sub AG$S;)Yl9c 5L}qL?S`x| 如果屈光度是4,光瞳直径是4,则会输出如下数据: \We\*7^E *h>KeIB; Accommodation = 4 Diopters ZsPT!l, Pupil Diameter = 4 mm p|z\L}0 Set aqueous humor thickness = 2.81 Y&Sk/8 Set anterior lens radius = 10.4 and conic constant = -2.375869 /i#~#Bn| Set posterior lens radius = -4.424557 and conic constant = -3.081019 m*MfGj( Set lens thickness = 3.927 CcZ\QOet&C Set lens index of refraction = 1.42672 b!R\ u1b Set pupil diameter = 4 OA_Bz" DONE! ?m?DAd~ZY Uva
b*9vX (文章来源:讯技光电)
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