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简介 b;cdIl!3 v,4pp@8rv 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。 GJtZ&H m6[0Kws& 模型 Vc2A *22nVKi{ 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。 b#hDHSdZ, IbP#_Vt Table 1. AZ眼睛模型的定义 7lBAxqr2 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. _PlKhv} t-0a7
1#e 光源 f'VX Y- f=mZu1(FZ 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.94v
#r ]A<~XIu 6T#+V37 图1. 光源和提示信息使用 i* NH'o/
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。 I^8"{J.Q)[ }#Qc \eud 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。 3T!lA <\pfIJr$ 图2. 字母F光源的设定方法光 v4.#;F.\m $}jssnoU 图3. 字母F在视网膜上位置点列图 !=:$lzS^ 视网膜的散射 TG+VEL |T k+8q{5>A< 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。 yX0dbW~@y < VSA ,H19`;Q 图4. 视网膜朗伯散射设定 U2wbv Xr5- 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。 R5 9S@MsuD kZerKP %^>ju;i^O 图5. 视网膜重点采样规格设定 J_v$YwE 脚本 /S(zff[at HAJ 7m!P 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: HO}Hh[{V9 (m:Zk$ 图6. 用户对话框的创建与编辑 {'2@(^3 图7. 用户对话框编辑器 Lg*B>= 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。 pD01,5/ 余下的脚本计算与屈光度有关的所有参数。 2U:H545]]
GrAujc5| 分析
S4h:|jLUF 4W)B'+ZK8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 x>* Drm 7 tP2qK_\e= 图7. 字母F在视网膜上颜色分析 $W9{P; 脚本代码 ^,;z|f'%* m$W < Option Explicit 'Remove this to enable non-dimensioned variables to be used. t7?Zxq eQD)$d_5 Dim entity As T_ENTITY isZA oYVu Dim op As T_OPERATION 846$x$G4 Dim mat As T_MODELMATERIAL q"<ac qK Dim A As Double n>^Y$yy}! Dim pupilDiam As Double r.>].~}4 Dim eID As Long cgm~> Dim parID As Long (s7;^)}zx Dim count As Integer R%qGPO5Z\c Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \e'R@ Dim tlens As Double, nlens As Double C~N/A73gF Dim curv As Double, conic As Double "Za>ZRR Dim ok As Long MF'$~gxo }c`fW& Sub Main 0\@dYPa&C (h5'9r '用户输入对话框 OQ>x5?um
Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #&m0WI1 TextBox 220,21,40,21,.TextBox1 'default: 0
]&i.b+^ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ;ml)l~~YU OKButton 40,91,90,21 u
a~CEs CancelButton 190,91,90,21 MV\|e1B} Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 3plzHz ,x TextBox 220,49,40,21,.TextBox2 'default: 4 p Wt)
A End Dialog k-HCeZ Dim dlg As UserDialog vt;{9\Y V {pj~D.E ok = Dialog (dlg) OV%Q3$15 kWe{r5C7 If ok=0 Then 'cancel button was pressed &*7?)eI!i Print "Execution cancelled." Sk:ws&D1u End y7$iOR End If z 6?)3' *hQTO=WF 'Assign accommodation and pupil diameter & use defaults if field left empty g|<]B$yN# If dlg.TextBox1 = "" Then _jNj-)RB_ A = 0 'Default accommodation |/2y-[;: Else %ix)8+Eb A = CDbl(dlg.TextBox1) }p!HT6 tZ End If )~+ e`q =7C%P%yt If dlg.TextBox2 = "" Then mXUGe:e8 pupilDiam = 4 'Default pupil diameter
Tjl:|F8 Else BvR-K\rx pupilDiam = CDbl(dlg.TextBox2) '{J&M|<A End If {iv<w8CU) zD(`B+ Print " " Pj4/xX Print "Accommodation = " & A & " Diopters" 2Ri{bWi Print "Pupil Diameter = " & pupilDiam & " mm" H]$)Eg%6 g"?Y+j ' Calculate new parameters with accommodation n[]tXrhU taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness FRS>KO=3 \uXcLhXN Rant = 12.0 - 0.4*A 'Radius of anterior lens Wt=| CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens EC\yzH*X 1xbK'i:-S Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ooV3gj4 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ;}1xn3THCn *_KFW@bC: tlens = 3.767 + 0.04*A 'Lens thickness h-m\% |D :^fcC[$K nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction raCi 8 =Apxdnz, 'Adjust parameters to account for accommodation Z0*ljT5| BWM YpZom '************************************************************************* {O,{c\ 'Aqueous thickness (Position of Lens) }j^\(2 '************************************************************************* a9T@$: eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Wa1,
p GetCustomElement eID, entity `"@g8PWe U
R%4@ parID = FindFullName( "Geometry.Arizona Eye" ) xritonG/F OI?K/rn ' Delete any shift(s) in z A5H3%o(6k count = 0 h?f>X"*|( While GetOperationCount(eID)>count svuq gSn GetOperation eID, count, op Pf_S[
sm If op.Type="ShiftZ" Then Cxcr/9 DeleteOperation eID,count /MF!GM count=count-1 (&P9+Tl End If ]a!xUg!S count=count+1 PZm:T+5H Wend `KCh*i ~j#]tElb 'Set new shift in V %_4% op.Type = "ShiftZ" Hw|AA?,0- op.val1 = taq {XWZ<OjG op.parent = parID g(Io/hyj AddOperation eID, op ZWm8*}3]7_ Print "Set aqueous humor thickness = " & taq-0.55 A)~X, PI~1GyJr@; '************************************************************************* 0V{(Ru.O 'Radius and conic constant of anterior lens d~?X/sJ t '************************************************************************* vNeCpf eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) t2V0lyeL GetConic eID, entity, curv, conic `zR+ tbm :KKa4=5L SetConic eID, entity, 1/Rant, CCant Z1h] Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant hxf'5uc u1~9{"P* '************************************************************************* g
>'p>}t 'Radius and conic constant of posterior lens -PnyZ2'Z '************************************************************************* 7-~Q5Kr. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +dPL>R GetConic eID, entity, curv, conic /% I7Vc +*n-<x5" SetConic eID, entity, 1/Rpost, CCpost Qf|U0 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost H%1$,]F v$)q($}p '************************************************************************* c=[O
`/f 'Lens thickness (Position of posterior lens surface) 37q@rDm2 '************************************************************************* Rm5Kkzd0o =B ];?% parID = FindFullName( "Geometry.Arizona Eye.Lens" ) VN'Wq7>6 ~=wCwA|1 ' Delete any z-shift(s) S#b-awk count = 0 o%4Gd~ While GetOperationCount(eID)>count k;EPpr-{ GetOperation eID, count, op enTW0U} If op.Type="ShiftZ" Then O Lc}_ DeleteOperation eID,count DS2)@ count=count-1 pCu!l#J End If $x#FgD(iI count=count+1 m$LVCB Wend KT.?Xp:z NJ MJ 'Set new z-shift @O}7XRJ_8 op.Type = "ShiftZ" ;oNhEB:F op.val1 = tlens v6GsoQmA op.parent = parID JTqq0OD} AddOperation eID, op EQe5JFR Print "Set lens thickness = " & tlens 1
Vy,&[c~" }6-ZE9H-v '************************************************************************* Dw2Q 'E 'Lens index of refraction /_\#zC[ '************************************************************************* P0i V<T4^ eID = FindMaterial( "Lens" ) ZCVl5R(mZ GetModelMaterial eID, mat SMf+qiM-E O3N_\B: mat.Nd = nlens ,SScf98,j SetModelMaterial eID, mat +y#T?!jQYj Print "Set lens index of refraction = " & nlens @cq`:_.[ 9]>iSG^H '************************************************************************* .la&P,j_L 'Pupil diameter AY SSa 1} '************************************************************************* +zkm( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) y\F=ui Vh<A2u3& 'Adjust pupil diameter (trimming volume inner hole) >~\w+^2f8 *zWWmxcJa SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" S :8OQI ]bgY6@M ' Adjust pupil location to just in front of the lens }E}8_8T6 parID = FindFullName( "Geometry.Arizona Eye" ) -Z^4L eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "Jy~PcJZ1 count = 0 [<wbbvXR While GetOperationCount(eID)>count =C
f(B<u GetOperation eID, count, op O {k:yVb If op.Type="ShiftZ" Then eX2<}'W< DeleteOperation eID,count [B0K count=count-1 15zrrU~D End If !RlC~^
- count=count+1 cUK\x2 Wend Ae?e 70bY op.Type = "ShiftZ" fA^7^0![ op.val1 = taq-0.01 2N~ E' 25 op.parent = parID n~Szf AddOperation eID, op W3Ulewa /.=r>a}l Print "Set pupil diameter = " & pupilDiam Y'Z+, CNf =!ac7i\F 'Update AZ Eye subassembly Description {$^SP7qV#> eID = FindFullName( "Geometry.Arizona Eye" ) fw{,bJ(U GetEntity eID, entity y~F<9;$= entity.Description = "Accommodation = " & A & "D" TK>{qxt:= SetEntity eID, entity %HSl)zEo>C 3D)b*fPc Update .}9FEn 8 Print "DONE!" }r2[!gGd%| S;A)C`X& End Sub GJ}.\EaAJ bj"z8 kP 如果屈光度是4,光瞳直径是4,则会输出如下数据: 2[dIOb4b
[BBpQN.^q6 Accommodation = 4 Diopters $Kq<W{H3ut Pupil Diameter = 4 mm ,.g}W~S) Set aqueous humor thickness = 2.81 agaq`^[(P Set anterior lens radius = 10.4 and conic constant = -2.375869 C>*n9l[M~ Set posterior lens radius = -4.424557 and conic constant = -3.081019 M^H90GN)X Set lens thickness = 3.927 E' %lxr Set lens index of refraction = 1.42672 7aQcP Set pupil diameter = 4 p\U*;'hv DONE! >;i\v7 <4zT;:NQ 6~Wu` QQ:2987619807 /#yA%0=w
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