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简介 wf:OK[r9 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
=M ?GDc nuw70*ell 模型 {PVW D7 m+Rv+_R 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。 LL3#5AA"k| IkGfnXJ Table 1. AZ眼睛模型的定义 =_:et0 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. [@5Ytv H u)~C;f) 光源 6BCf:mqP #3+!ee27# 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。 i*@<y/&' ;JayoJ {qN 5MsY 图1. 光源和提示信息使用 4x 8)gE 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。 j'HZ\_ -}KC=,]vh 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。 FW21 U< [rSR:V?"a 图2. 字母F光源的设定方法光 <y?r!l=Am Kq;8=xP[ 图3. 字母F在视网膜上位置点列图 "C I=`= 视网膜的散射 !;KCU^9 4#:W.]U8 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。 'LO^< j4cwI90= ~2gG(1%At9 图4. 视网膜朗伯散射设定 ,uSQNre\j 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。 B Z?.D_bu HBu[gh;b :{q<{^c 图5. 视网膜重点采样规格设定 |bO"_U 脚本 =g|IG
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0GpfW$t 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: K|:@Z .P7"e5ge 图6. 用户对话框的创建与编辑 fmb} 2h 图7. 用户对话框编辑器 V0P>YQq9s 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。 M!REygyx 余下的脚本计算与屈光度有关的所有参数。 `Ch9~*p -)RH5WG S 分析 $h*L=t( \cUC9/
b 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 T^Ze3L] K otrX 图7. 字母F在视网膜上颜色分析 $>u*}X9 脚本代码 yL2o}ZbS Jc|6& Option Explicit 'Remove this to enable non-dimensioned variables to be used. 7Z-O_h3;)@ aPm`^
q Dim entity As T_ENTITY Na?!;1]_ Dim op As T_OPERATION 8&)DE@W Dim mat As T_MODELMATERIAL L 8dc(Z%v Dim A As Double Wb?8j M Dim pupilDiam As Double >o7n+Rb: Dim eID As Long 93`
AWg/T Dim parID As Long [&#/]Ul' Dim count As Integer i03w1pSH, Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double iC98_o_9 Dim tlens As Double, nlens As Double >VN5`Zlw\C Dim curv As Double, conic As Double \v.C]{Gzc Dim ok As Long
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L3QJ0 Sub Main :n.f_v}6 ?MgUY)X '用户输入对话框 a{qM2P(S Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 a*ushB TextBox 220,21,40,21,.TextBox1 'default: 0 =Q+=
f Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 bqnNLs<N OKButton 40,91,90,21 k=4N.*#`y CancelButton 190,91,90,21 xx{PespNt Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ~1W x= TextBox 220,49,40,21,.TextBox2 'default: 4 +KvU$9Ad> End Dialog A .EbXo/ Dim dlg As UserDialog K%F,='P} n1VaLD ok = Dialog (dlg) 9+{G8$Ai w6{TE(]zp If ok=0 Then 'cancel button was pressed q(.:9A*0 Print "Execution cancelled." "F.;Dv9V[0 End vfE6Ggz
End If -/ g B|J JQ6zVS2SSS 'Assign accommodation and pupil diameter & use defaults if field left empty g'V>_u#( If dlg.TextBox1 = "" Then 7,lq}a8z A = 0 'Default accommodation [ji#U s:h Else [5+}rwm&W A = CDbl(dlg.TextBox1) @]-jl}:] End If 8$;=Uf,x \0vr>C If dlg.TextBox2 = "" Then
sSi6wO$ pupilDiam = 4 'Default pupil diameter Z3&_ Else cxr=k%~}J pupilDiam = CDbl(dlg.TextBox2) S>]pRV9rT End If hnc@ 8F&=a,ps[ Print " " gm[z[~X@ Print "Accommodation = " & A & " Diopters" !`M|C?b Print "Pupil Diameter = " & pupilDiam & " mm" w6W}"Uw U~j
^I^ ' Calculate new parameters with accommodation Gq }U|Z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ; o0&`b? s#tZg Rant = 12.0 - 0.4*A 'Radius of anterior lens !=:$lzS^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens TG+VEL |T lo,$-bJ,<, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens yX0dbW~@y CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens < VSA ,H19`;Q tlens = 3.767 + 0.04*A 'Lens thickness U2wbv Xr5- _G.>+!"2/
nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction <-D0u?8 %^>ju;i^O 'Adjust parameters to account for accommodation ktdW`R\+ ~ ArP9
K" '************************************************************************* 26k LhFS 'Aqueous thickness (Position of Lens) /O^RF } '************************************************************************* 82QGS$0V eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,]cD GetCustomElement eID, entity o17ekML -cSP_1 parID = FindFullName( "Geometry.Arizona Eye" ) j(k:
@ km1~yQ"bH ' Delete any shift(s) in z vOc 9ZE count = 0 A' /KUi While GetOperationCount(eID)>count K?zH35f$ GetOperation eID, count, op qAS qscO If op.Type="ShiftZ" Then $a"n1ou DeleteOperation eID,count XoCC/ count=count-1 f'aVV! End If T|dY
2 count=count+1 HOE_S!N Wend !H irhDN 3MY(<TGX 'Set new shift in NCk r /#! op.Type = "ShiftZ" d~:!#uWyFk op.val1 = taq eL\;Nf+Zp op.parent = parID 3+G@g#MY AddOperation eID, op 'b#0t#|TM Print "Set aqueous humor thickness = " & taq-0.55 ]b%Hy 75T7+:p '************************************************************************* @g$Gti 'Radius and conic constant of anterior lens :SGF45>B@ '************************************************************************* %y|)=cm[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) k=B]&F GetConic eID, entity, curv, conic t$xY #: _;~,Cgfi SetConic eID, entity, 1/Rant, CCant , 'ZD=4_ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant G_k~X" o(r\E0I '************************************************************************* o;=l^- 'Radius and conic constant of posterior lens 2GWMlI '************************************************************************* 3`B6w$z>( eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) hDcEGU_ GetConic eID, entity, curv, conic IuOgxm~Y )6Ny1x+ SetConic eID, entity, 1/Rpost, CCpost ?F6pEt4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost C0
/g1;p( `(f!*Ru@/z '************************************************************************* AQ+]|XYo_ 'Lens thickness (Position of posterior lens surface) M5*{ '************************************************************************* C_n9T{k S`"LV $8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3'c0#h@VD .Y3pS/VI ' Delete any z-shift(s) KA){''>8 count = 0 P~G 1EK|4 While GetOperationCount(eID)>count )YX 'N<[ GetOperation eID, count, op ZP;j9T! If op.Type="ShiftZ" Then p"FW&Q=PN DeleteOperation eID,count |kvC
H<F' count=count-1 FFH_d <q End If F^5?\ count=count+1 :L1dyVA{ Wend &/uu)v pDh{Z g6t 'Set new z-shift .GsO.#p{ op.Type = "ShiftZ" n%k!vJ)] op.val1 = tlens &g.+V/<[ op.parent = parID 5o6>T! AddOperation eID, op GF>'\@Th Print "Set lens thickness = " & tlens ( @3\`\X C":o/;,1 '************************************************************************* ;Ww7"-=sw 'Lens index of refraction
l"!Ko G7 '************************************************************************* u6MzRC eID = FindMaterial( "Lens" ) #ssN027 GetModelMaterial eID, mat A%^w^f 59!Fkd3 mat.Nd = nlens :k3Nt5t! SetModelMaterial eID, mat ;Wl+zw Print "Set lens index of refraction = " & nlens V\{tmDE ,WG<hgg-U) '************************************************************************* (vB<%l.& 'Pupil diameter 6X\ 2GC9 '************************************************************************* E6,4RuCK eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) C%U`"-%n@7 L
W;heO" 'Adjust pupil diameter (trimming volume inner hole) >9f%@uSM$3 s7l;\XBy SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" sPps q !O#dV1wAa ' Adjust pupil location to just in front of the lens 3Te^ parID = FindFullName( "Geometry.Arizona Eye" ) y /BJIQ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5i-Rglo count = 0 2OwV^-OG While GetOperationCount(eID)>count q-`RI*1] GetOperation eID, count, op 9!Ar`Io2@ If op.Type="ShiftZ" Then ]ZoD'-, DeleteOperation eID,count pFm=y#!t count=count-1 DF
g,Xa# End If .-IkL|M count=count+1 XO9M_*Va Wend 9&2Vm;F_ op.Type = "ShiftZ" kdCP op.val1 = taq-0.01
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d%2pO] op.parent = parID X5khCLHi AddOperation eID, op Ezi-VGjr]
q-rB2 Print "Set pupil diameter = " & pupilDiam mCWhUBghR Hsihytdj 'Update AZ Eye subassembly Description E^rbcGJ eID = FindFullName( "Geometry.Arizona Eye" ) !TP@-
X; GetEntity eID, entity E%'~'[Q entity.Description = "Accommodation = " & A & "D" [b/k3&O' SetEntity eID, entity .(X
lg-H, F! X}(N?t Update .!6>oL/iF Print "DONE!" NFr:y<0>z eXkujjSw" End Sub 8UMFq 1tJg#/? 如果屈光度是4,光瞳直径是4,则会输出如下数据: nD0}wiL{ @_"9D y Y% Accommodation = 4 Diopters Kv@eI$t5 Pupil Diameter = 4 mm [Cb`{ Set aqueous humor thickness = 2.81 )'hH^(Yu Set anterior lens radius = 10.4 and conic constant = -2.375869 #9m$ N Set posterior lens radius = -4.424557 and conic constant = -3.081019 )OLq_':^@ Set lens thickness = 3.927 xESjM1A) Set lens index of refraction = 1.42672 )$&dg2[ Set pupil diameter = 4 `g_"GE DONE! Yyfq 1N\D5g3 (文章来源:讯技光电)
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