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简介 maUHjI
5A- 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。 f@Rpb}zg+C pebx#}]p- 模型 hf+/kc!>i 1;:t~Y 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。 |8qK%n f} j)tCr Py Table 1. AZ眼睛模型的定义 5*wApu{2A 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. X]pWvQ Q] 7|M $W(P 光源 A6UdWK +.(}u ,:8 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。 |Iok(0V _E1]cbIo lc3S|4 图1. 光源和提示信息使用 t>6x)2,TC 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。 7hN6IP*so $mI:Im`s 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。 $dZ>bXUw: }]g95xT 图2. 字母F光源的设定方法光 T7lj39pJq j*H;a ?Y 图3. 字母F在视网膜上位置点列图 +)JNFy- 视网膜的散射 eN|HJ= k99gjL` 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。 9!xD~(Kr 6}i&6@Snq? >^H'ZYzw 图4. 视网膜朗伯散射设定 I`"-$99|t1 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 +\k9w.[:/ 3Zaq#uA >FY&-4+v 图5. 视网膜重点采样规格设定 WpJD=C% 脚本 RQo$iISwy Iu-'o 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: l~fh_IV1 oP=T6PX~l 图6. 用户对话框的创建与编辑 T@Ss&eGT2 图7. 用户对话框编辑器 4j.
|Y 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。 $#G6m`V 余下的脚本计算与屈光度有关的所有参数。 Q3BLL`W~ N
/sEec 分析 ?z5ne?? J})$ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 $^vp'^uW> N#RD:"RS! 图7. 字母F在视网膜上颜色分析 /63W\ 脚本代码 L,b|Iq ;w+:8<mM}a Option Explicit 'Remove this to enable non-dimensioned variables to be used. nszpG1U: WyBQ{H{So Dim entity As T_ENTITY ~']&. Dim op As T_OPERATION Y)Znb;`?a Dim mat As T_MODELMATERIAL f.b8ZBNj> Dim A As Double hF7V !*5 Dim pupilDiam As Double #$rf-E5g-K Dim eID As Long %;pD8WgJA Dim parID As Long j<l#qho{h Dim count As Integer ->&BcPLn Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Xzx[C_G Dim tlens As Double, nlens As Double Yl)eh(\&J Dim curv As Double, conic As Double TnN^2:cU Dim ok As Long (j8GiJ]{L, !sg%6H?} Sub Main ~a'nHy1 K,x$c % '用户输入对话框 %`bs<ZWT Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 dzIBdth TextBox 220,21,40,21,.TextBox1 'default: 0 bSIY|/d+ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 %1{S{FB OKButton 40,91,90,21 lz`\Q6rZ CancelButton 190,91,90,21 Aa9l-:R Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E/H9# TextBox 220,49,40,21,.TextBox2 'default: 4 ()|e
xWW End Dialog pss')YP. Dim dlg As UserDialog Xn"#Zy_ y;ey( ok = Dialog (dlg) S_sHwObFu| !S<p"
If ok=0 Then 'cancel button was pressed w?D= Print "Execution cancelled." J)g
+I End #`@)lU+/ End If _Q #[IH9 A6KP(@
'Assign accommodation and pupil diameter & use defaults if field left empty @w33u^ If dlg.TextBox1 = "" Then t,Tq3zB A = 0 'Default accommodation /\ fR6|tJ Else M7qg\1L A = CDbl(dlg.TextBox1) d1yLDj? End If -.)f~#8 Z&@P< If dlg.TextBox2 = "" Then "X<V>q$0~c pupilDiam = 4 'Default pupil diameter T pCXe\W Else g1XpERsSEV pupilDiam = CDbl(dlg.TextBox2) Fp B3SJ6 B End If qW3XA$g|j' m!INbIh Print " " 9|jMN
j]vo Print "Accommodation = " & A & " Diopters" 6oWFj eZ0 Print "Pupil Diameter = " & pupilDiam & " mm" A/ zAB3 hAgrs[OFj ' Calculate new parameters with accommodation * k\;G? taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {dh@|BzsbH DFwiBB6 Rant = 12.0 - 0.4*A 'Radius of anterior lens ybf,pDY#f CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [g==#[ A
_7I0^ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens D!,'}G# CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :S`12*_g" >d;U>P5. tlens = 3.767 + 0.04*A 'Lens thickness >xRUw5jN 5/hgWG6.t nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction r{*Qsaw #.FhN x 'Adjust parameters to account for accommodation {#t7lV'4 a'q&[08 '************************************************************************* 3W[||V[r]< 'Aqueous thickness (Position of Lens) s_Z5M2o '************************************************************************* n1x3q/~ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;<MHl[jJD GetCustomElement eID, entity OZKZv, 8VpmcGvc3 parID = FindFullName( "Geometry.Arizona Eye" ) ra
,.vJuT !;t6\Z8& ' Delete any shift(s) in z [IyC}lSW^- count = 0
%U[H`E While GetOperationCount(eID)>count k/Urz*O GetOperation eID, count, op OgK' ~j If op.Type="ShiftZ" Then TCgW^iu DeleteOperation eID,count XB[EJGaX count=count-1 #T>pu/EQX_ End If `OZiN;*| count=count+1 -Zg.o$ Wend
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A3Hrg 1vh[sKv9% 'Set new shift in /+<G@+( op.Type = "ShiftZ" #|V)>") op.val1 = taq B90fUK2g op.parent = parID x=W5e
^0? AddOperation eID, op -LFk7a Print "Set aqueous humor thickness = " & taq-0.55 |*~SR.[` ^%1u3 '************************************************************************* *mw *z|-^V 'Radius and conic constant of anterior lens Lq#!}QcW= '************************************************************************* LCSJIt eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) M>*xbBl GetConic eID, entity, curv, conic fndH]Yp /.UISArH SetConic eID, entity, 1/Rant, CCant *]Eyf") Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7 $dibTER xd`\Ai '************************************************************************* .|:R#VW 'Radius and conic constant of posterior lens 8y4t9V '************************************************************************* "`KT7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $GD
Q1&Z GetConic eID, entity, curv, conic ]~pM;6Pu0 B}I9+/|{ SetConic eID, entity, 1/Rpost, CCpost iML?`%/vN Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 94lz?-j /i"1e:cK '************************************************************************* K:$GmV9o 'Lens thickness (Position of posterior lens surface) AgOti]`aR '************************************************************************* FW4#/H !H zJ* parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1,n\Osd K;R!>p}t ' Delete any z-shift(s) ;IT'6m`@W count = 0 z|<?=c2P While GetOperationCount(eID)>count !#4b#l(e6 GetOperation eID, count, op Tog'3k9Uw If op.Type="ShiftZ" Then 2FM}"g<8 DeleteOperation eID,count m>DJ w7< count=count-1 k7nke^,| End If g
T0@pxl count=count+1 ^HWa owy= Wend LP>GM=S#" {T5u"U4 'Set new z-shift ;(Z9. op.Type = "ShiftZ" :TP\pH 7E op.val1 = tlens QOv@rP/ op.parent = parID G4EuW *~ AddOperation eID, op #a 4X*X.8c Print "Set lens thickness = " & tlens ^5R2~ Y";KWA}b '************************************************************************* MVDy|i4 'Lens index of refraction .bNG:y> '************************************************************************* N1JM[<PP eID = FindMaterial( "Lens" ) qKI)*o062 GetModelMaterial eID, mat gAK"ShOhG= fjqd16{Q mat.Nd = nlens (J.U{N v SetModelMaterial eID, mat *$Z?Owl7 Print "Set lens index of refraction = " & nlens L1MG("R GjX6noqT '************************************************************************* 6&"GTK 'Pupil diameter 55zy]|F" '************************************************************************* N@I=X-7nh| eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) V17!~ .|KBQMI 'Adjust pupil diameter (trimming volume inner hole) Eo0/cln| Bh65qHQO SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [`!%u3 x-~=@oiv ' Adjust pupil location to just in front of the lens 8Q73h/3 parID = FindFullName( "Geometry.Arizona Eye" ) Fzy5k?R eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 4i+H(d n count = 0 rw[Ioyr- While GetOperationCount(eID)>count 9D7i>e%,;- GetOperation eID, count, op C ~04#z_$ If op.Type="ShiftZ" Then sY&Z/Y DeleteOperation eID,count G|z%T`!U1; count=count-1 a2eE!I End If nPUD6<bF count=count+1 *eMMfxFl Wend @el op.Type = "ShiftZ" ]&X}C{v)G op.val1 = taq-0.01 y N,grU( op.parent = parID #GzowI' AddOperation eID, op \%&eDE 0 N{uVh;_ Print "Set pupil diameter = " & pupilDiam !1/F71l DX 'i4L.& 'Update AZ Eye subassembly Description wJh/tb=$o eID = FindFullName( "Geometry.Arizona Eye" ) k +Cwnp GetEntity eID, entity _Sl3) entity.Description = "Accommodation = " & A & "D" TrBW0Bn>p SetEntity eID, entity sGc.;": ;?%_jB$P Update "NTiQ}i Print "DONE!" (QQkXlJ z#2n+hwE End Sub 9T0g%& w[AL'1s] 如果屈光度是4,光瞳直径是4,则会输出如下数据: h=B=
J ~yJJ00% Accommodation = 4 Diopters ]`M2Kwp Pupil Diameter = 4 mm Q"H/RMo- Set aqueous humor thickness = 2.81 <6X*k{ Set anterior lens radius = 10.4 and conic constant = -2.375869 z7TyS.z Set posterior lens radius = -4.424557 and conic constant = -3.081019 I
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Set lens thickness = 3.927 `4g}(- Set lens index of refraction = 1.42672 PlCj<b1D: Set pupil diameter = 4 ilAhw4A DONE! _tE55X& /*MioaQB}p (文章来源:讯技光电)
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