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简介 @@K@;Jox 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。 X9C)FS @=q,,t$r 模型 Yf
>SV # j|!.K|9B 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 q1a}o% ;xaOve;9 Table 1. AZ眼睛模型的定义 "ut:\%39. 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. de]r9$D "H\'4'hg 光源 }yCJ#} 9.ZhkvR4A 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。 "f\2/4EIl dP[l$/ JViglO1\ 图1. 光源和提示信息使用 &WAO.*:y 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 -]"=b\Q [q]"_4L0;d 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 l^4[;%*f#l 'bp*hqG[ 图2. 字母F光源的设定方法光 Vzf{gr? CZyOAoc< 图3. 字母F在视网膜上位置点列图 (v(!l=3 视网膜的散射 &\8.y2=9p 9{@ #tx 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 1><\3+8 +RS>#zd/= un0tzz 图4. 视网膜朗伯散射设定 B$qmXA)ze 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。 T5_z^7d Dt?O_Bdv[ uV.3g 1m
图5. 视网膜重点采样规格设定 %J4]T35^2 脚本 _KiaeVE ,!_ 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: "8|y 'SF+P)Kmz 图6. 用户对话框的创建与编辑 (.\GI D+i 图7. 用户对话框编辑器 Z0T{1YEJ 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。 Srj%6rgsB 余下的脚本计算与屈光度有关的所有参数。 f'aQ T b2c% 0C 分析 9i@AOU 5zG6V2 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 tdg.vYMDPC O-B~~$g 图7. 字母F在视网膜上颜色分析 Jhu<^pjs 脚本代码 6dTq&GZ\ 3N6U6.Tqb Option Explicit 'Remove this to enable non-dimensioned variables to be used. k7P~*ll$ d{+H|$L` Dim entity As T_ENTITY :0>wm@qCQ Dim op As T_OPERATION @-~YQ@08` Dim mat As T_MODELMATERIAL X&DuX %x0 Dim A As Double n
m(yFX?= Dim pupilDiam As Double Lu\]]m Dim eID As Long QxvxeK!Y Dim parID As Long TuY{c%qQ: Dim count As Integer Y'"2s~_
Z Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;SkC[;`J Dim tlens As Double, nlens As Double )%%RI_JT Dim curv As Double, conic As Double WmLl.Vv= Dim ok As Long |Axg}Q| _H@s^g Sub Main 0?l|A1I% SPW @TF1 '用户输入对话框 vFY/o,b \ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 j~c7nWfX TextBox 220,21,40,21,.TextBox1 'default: 0 XPXC7_fV Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 YXXUYi~!f OKButton 40,91,90,21 p%Ae"#_X% CancelButton 190,91,90,21 EAo7(d@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I2("p.+R TextBox 220,49,40,21,.TextBox2 'default: 4 bT-(lIU End Dialog "lLt=s2>L Dim dlg As UserDialog
At%g^ =N01!?{ ok = Dialog (dlg) (FZL> W]5kM~Q@ If ok=0 Then 'cancel button was pressed @va{&i`%A7 Print "Execution cancelled." A=|LMJMWR End q]:+0~cz End If #/sKb2eQ /tA$'tZ 'Assign accommodation and pupil diameter & use defaults if field left empty o1"U'y-9V If dlg.TextBox1 = "" Then h*)spwF- A = 0 'Default accommodation kac@yQD Else YD2M<.U A = CDbl(dlg.TextBox1) >#dNXH]9 End If ^ef:cS$; mn\e(WoX If dlg.TextBox2 = "" Then xr!FDfM.K pupilDiam = 4 'Default pupil diameter ]g3&gw Else oju/%ieh pupilDiam = CDbl(dlg.TextBox2) 3O%[k<S\VO End If CU6rw+Vax rS/Q Print " " e.G&hJr Print "Accommodation = " & A & " Diopters" wM (!9Ws3 Print "Pupil Diameter = " & pupilDiam & " mm" y%
uUA]c*m l#%Y]1* ' Calculate new parameters with accommodation iKV;>gF,)v taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 2j-|.l c B$g!4C
`g Rant = 12.0 - 0.4*A 'Radius of anterior lens '1ff| c!x9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 8kAG EiC !l~tBJr*sB Rpost = -5.224557 + 0.2*A 'Radius of posterior lens t d q;D CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ~FH''}3:3 kJy<vb~
tlens = 3.767 + 0.04*A 'Lens thickness ?v#t{e0eQ _]1dm)% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction n5 @H !40{1U&@a` 'Adjust parameters to account for accommodation xZtA) Bp ;M8N% '************************************************************************* QV+(' 'Aqueous thickness (Position of Lens) 1mL--m'r '************************************************************************* ckP&N:tC eID = FindFullName( "Geometry.Arizona Eye.Lens" ) g63:WX-\ GetCustomElement eID, entity p}uL%:Vr ]N-K`c] parID = FindFullName( "Geometry.Arizona Eye" )
}CaL:kY8 y&lj+j ' Delete any shift(s) in z k<"ZNQm$. count = 0 ~t<BZu While GetOperationCount(eID)>count Y1{6lhxgE GetOperation eID, count, op f|?i6.N>f If op.Type="ShiftZ" Then )Be}Ev#)Zx DeleteOperation eID,count nE]R0|4h count=count-1 y_qFXd End If CeR4's7 count=count+1 gO<>L0,j Wend .zlUN0oe S#!PDg 'Set new shift in %whPTc0P op.Type = "ShiftZ" / !jd%,G op.val1 = taq o&rejj# op.parent = parID e.\d7_T+ AddOperation eID, op 4&K~EX"^T Print "Set aqueous humor thickness = " & taq-0.55 W3{k{~ !K'kkn,h '************************************************************************* ,":ADO- 'Radius and conic constant of anterior lens )eY3[>` '************************************************************************* RFDwL~-p eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) )Y
Qtrc\91 GetConic eID, entity, curv, conic L\nWhmwl >8 t3a-/ SetConic eID, entity, 1/Rant, CCant & @^|=>L Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant pb$U~TvzhM /V46:`V '************************************************************************* Jnb>u*7, 'Radius and conic constant of posterior lens _(<[!c!@0 '************************************************************************* 6T"[M eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) qW][Q%'lt GetConic eID, entity, curv, conic Z)|*mJ CO0Nq/@ SetConic eID, entity, 1/Rpost, CCpost G~8C7$0z Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost "%<Oadz ap +MGEO+ '************************************************************************* !(w\%$| 'Lens thickness (Position of posterior lens surface) xO'1|b^& '************************************************************************* wR@fB ^&h|HO-5 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 8>T
' N02N
w(pi ' Delete any z-shift(s) K)sO count = 0 _Wk!d3bsx While GetOperationCount(eID)>count rQ;m|@ GetOperation eID, count, op <{3VK If op.Type="ShiftZ" Then E{_p&FF DeleteOperation eID,count (lwkg8WC count=count-1 }Wn6r_: End If 5bH@R@3 m count=count+1 bMxzJRrNg Wend IpB0~`7YI (VWTYG7 'Set new z-shift :?U1^!$$1 op.Type = "ShiftZ" tlCgW)<? op.val1 = tlens Tr(w~et op.parent = parID *
"~^k^_b} AddOperation eID, op ljlQ9wb[s Print "Set lens thickness = " & tlens V!DQ_T+a F[l{pc "C '************************************************************************* 0{@E=}}h 'Lens index of refraction O6YYOmt3 '************************************************************************* tegLGp@_ eID = FindMaterial( "Lens" ) 3O:Z;YP:< GetModelMaterial eID, mat 7$\;G82_ G;yf]xFd mat.Nd = nlens = =cAL"Z SetModelMaterial eID, mat <nvz*s Print "Set lens index of refraction = " & nlens ql2>C.k3L U9y[b82 '************************************************************************* hof:36 < 'Pupil diameter R}#?A%,* '************************************************************************* ^^{K[sLB eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) t1 OnA#]/_ 3*/y<Z'H 'Adjust pupil diameter (trimming volume inner hole) tOn/r@Fd^E u1~H1
]Ii SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" <omSK-
T- f*0[[J0] ' Adjust pupil location to just in front of the lens 38tRb"3zP parID = FindFullName( "Geometry.Arizona Eye" ) dArg'Dc4 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) G9 ;X=c count = 0 Elom_ While GetOperationCount(eID)>count {<v?Z_!68 GetOperation eID, count, op GASDkVoij If op.Type="ShiftZ" Then <2fZYt vt DeleteOperation eID,count -L NJ*?b count=count-1 Ev,>_1#Xm End If u v%T0JA/ count=count+1 ] L"jt8E Wend jav7V"$ op.Type = "ShiftZ" 0/6f9A op.val1 = taq-0.01 h
rW op.parent = parID ,gVA^]eDh AddOperation eID, op 9G[!"eZ} >OgA3)X Print "Set pupil diameter = " & pupilDiam D. fPHq 4[44Eku\ 'Update AZ Eye subassembly Description Eh^c4x eID = FindFullName( "Geometry.Arizona Eye" ) [6`8^-}? GetEntity eID, entity ': 87.8$ entity.Description = "Accommodation = " & A & "D" yTm/P!1S SetEntity eID, entity H{x'I@+ AU -, Update <~X4&E]rT_ Print "DONE!" ]u?|3y^( b(Zh$ 86 End Sub 66(|3D X --6C>iY[&u 如果屈光度是4,光瞳直径是4,则会输出如下数据: @SjISZw_ g`i?]6c}jt Accommodation = 4 Diopters <U%4$83$ Pupil Diameter = 4 mm i882r=TE3 Set aqueous humor thickness = 2.81 J: vq)G\F Set anterior lens radius = 10.4 and conic constant = -2.375869 I<L Set posterior lens radius = -4.424557 and conic constant = -3.081019 -GJ~xcf0 Set lens thickness = 3.927 Ngi]I#Vz Set lens index of refraction = 1.42672 wj!YYBH Set pupil diameter = 4 !'8.qs DONE! wW
EnAW~ 9AF%Y:y (文章来源:讯技光电)
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