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简介 bH,Jddc ?8~$du$ 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。 m:"2I&0)WM Kfj*#)SZ 模型 !p9BH6$` i!Ne<Q 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 bUqO.FZ[ {'vvE3iZ Table 1. AZ眼睛模型的定义 C8n1j2G\ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. `rs1!ZJ, bUWtlg 光源 B1p9pr 1 9)78kV{ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 C8{CKrVE C6,Bqlio ;M JM~\L0 图1. 光源和提示信息使用 Dd{{d?;B 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ivGxtx bqLv81 V 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 w{UU( 'kUrSM'*$N 图2. 字母F光源的设定方法光 Z1OcGRN! 6zNN 8 图3. 字母F在视网膜上位置点列图 8[y7(Xw 视网膜的散射 _c #P F,EHZ,<V 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。 o<!#1#n+: KztF#[64W^ (8>k_ 图4. 视网膜朗伯散射设定 V5A7w
V3~ 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。 @yek6E&9 ^^ ?ECnpcU h2tzv~ 图5. 视网膜重点采样规格设定 E3KPjK 脚本 SD697L9 8)H"w$jq 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: L' )(Zn1 H?B.Hp| 图6. 用户对话框的创建与编辑 @lBH@HR=C 图7. 用户对话框编辑器 \tQi7yj4 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ph|3M<q6 余下的脚本计算与屈光度有关的所有参数。 0
Q1}u@G +)F8YMg
e 分析 Q.8Jgel1 \ oL+O| 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 OrRve$U*| I/@Xr 图7. 字母F在视网膜上颜色分析 ?c43cYb 脚本代码 p~e6ah?1 _R8-Hj E Option Explicit 'Remove this to enable non-dimensioned variables to be used. ?pVODnP k !AMPA* Dim entity As T_ENTITY _mO\Nw0 Dim op As T_OPERATION #G\)ZheG Dim mat As T_MODELMATERIAL gReaFnm Dim A As Double iE&`Fhf? Dim pupilDiam As Double BzgDhDj Dim eID As Long 8p!PR^OM@ Dim parID As Long 8m6L\Z&
Dim count As Integer h.8J6;36 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 9PGSr4V1 Dim tlens As Double, nlens As Double #ob">R Dim curv As Double, conic As Double .lE"N1 Dim ok As Long ~o8$/%Oeb/ 8,H Sub Main [`
i;gx[^ jbg@ CA*=C '用户输入对话框 eH6#'M4+\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 c8u&ev.U TextBox 220,21,40,21,.TextBox1 'default: 0 +XIN-8 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b.t]p OKButton 40,91,90,21 uS&bfx2 CancelButton 190,91,90,21 zz$*upxK Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 V 1Fdt+# TextBox 220,49,40,21,.TextBox2 'default: 4 Q"(i End Dialog !u=[/> Dim dlg As UserDialog [NuayO3 ;=E3f^'s ok = Dialog (dlg) GCIm_
n O!|:ZMjF If ok=0 Then 'cancel button was pressed {j(,Q qB;f Print "Execution cancelled." "%sW/ph End $w65/ End If x JepDCUJ> /]vg_&)= 'Assign accommodation and pupil diameter & use defaults if field left empty mH8"k+k If dlg.TextBox1 = "" Then {0[qERj"z A = 0 'Default accommodation 7.]xcJmt>' Else xo]|m\#k5E A = CDbl(dlg.TextBox1) W"~G]a+ End If }F\0Bl& YoahqXR` If dlg.TextBox2 = "" Then gsZCWT pupilDiam = 4 'Default pupil diameter 'g$|:bw/ Else '\\J95*` pupilDiam = CDbl(dlg.TextBox2) _p90Zm-3X End If ,qC_[PUT BG=h1ybz Print " " Dn9Ta}miTO Print "Accommodation = " & A & " Diopters" 3s$m0 Print "Pupil Diameter = " & pupilDiam & " mm" oS]XE!^M gB&'MA! ' Calculate new parameters with accommodation iJ#sg+ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness +nZx{d,wt 2"2b\b}my Rant = 12.0 - 0.4*A 'Radius of anterior lens CjD2FnjT CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 9GCxF`OB UW40Y3W0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens /#.6IV( CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens k ELV]iWb &%FpNU9 tlens = 3.767 + 0.04*A 'Lens thickness ]ul]L
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/rf nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction &a7KdGP8V +A/n<VH 'Adjust parameters to account for accommodation 3"cAwU9 I=.98v% '************************************************************************* U@i+XZc"S 'Aqueous thickness (Position of Lens)
rq+E"Uj? '************************************************************************* gzi~BJ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <w8*Ly:L GetCustomElement eID, entity r"k\G\,% eB5;wH parID = FindFullName( "Geometry.Arizona Eye" ) mKn:EqA Un7jzAvQ ' Delete any shift(s) in z -3F|)qwK count = 0 X 5pp8~ While GetOperationCount(eID)>count Q]66v$ GetOperation eID, count, op )ASI41 If op.Type="ShiftZ" Then c:4i&|n DeleteOperation eID,count IhY[c/|i count=count-1 U^:+J-z{ End If @G^
l`% count=count+1 7H9&\ur9+ Wend qVE6ROSh
uq{w1O5 'Set new shift in jDOB(fE op.Type = "ShiftZ" wwk=*X-8 op.val1 = taq [gx6e 44 op.parent = parID R$_#7>3 AddOperation eID, op 9qIjs$g Print "Set aqueous humor thickness = " & taq-0.55 &n91f eM{,B '************************************************************************* ~X)Aw3}F 'Radius and conic constant of anterior lens 'z>|N{-xG '************************************************************************* e@w-4G(; eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) !S$LRm\' GetConic eID, entity, curv, conic Jvgx+{Xu DTH;d-Z SetConic eID, entity, 1/Rant, CCant 7CWz)LT Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <$qe2FtUq ?45bvkCT '************************************************************************* H0LEK(K 'Radius and conic constant of posterior lens ,l1A]Wx '************************************************************************* }f?$QSF eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) sZxf. GetConic eID, entity, curv, conic h3[^uYe :Z3Tyj}4 SetConic eID, entity, 1/Rpost, CCpost Xy5#wDRC Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost N7=lSBm tHgu#k0 '*************************************************************************
_xjw: 'Lens thickness (Position of posterior lens surface) (_Ph{IN '************************************************************************* A]c'`Nf DI"KH)XD parID = FindFullName( "Geometry.Arizona Eye.Lens" ) YHSdaocp mu@He&w" ' Delete any z-shift(s) Utd`T+AF* count = 0 ~
HN While GetOperationCount(eID)>count $F2A GetOperation eID, count, op 4L)#ku$jW If op.Type="ShiftZ" Then ;&RBg+Pr DeleteOperation eID,count Ymt.>8L count=count-1 }M7{~ov#s End If 3)cH\gsg9 count=count+1 (JenTL`%u Wend @
LPs.e m~c6b{F3Z- 'Set new z-shift "{>BP$Jz op.Type = "ShiftZ" a=@]Ov/ op.val1 = tlens -]n\|U< op.parent = parID )09>#!* AddOperation eID, op uW;[FTcqy$ Print "Set lens thickness = " & tlens %'+}-w N(c`h '************************************************************************* :O)\+s- 'Lens index of refraction O2N7qV3U, '************************************************************************* weX%S? eID = FindMaterial( "Lens" ) {+Zj}3o GetModelMaterial eID, mat Z #uxa )IBvm1 mat.Nd = nlens <<WqL?8W SetModelMaterial eID, mat =2XAQiUR\ Print "Set lens index of refraction = " & nlens )@(IhU) W=G8l% '************************************************************************* }jdMo83 'Pupil diameter W?TvdeBx '************************************************************************* 1#tFO eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 88uoA6Y8h fbg:rH\_ 'Adjust pupil diameter (trimming volume inner hole) kLE("I:7 uE &/:+ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" pf% yEz /M2U7^9``" ' Adjust pupil location to just in front of the lens FHbyL\Q parID = FindFullName( "Geometry.Arizona Eye" )
2^w8J w9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) `_"loPu count = 0 xyzYY}PS While GetOperationCount(eID)>count V*6o |# GetOperation eID, count, op {e!3|&AX If op.Type="ShiftZ" Then yOTC>?p% DeleteOperation eID,count L$t.$[~L count=count-1 )Szn, End If S\M+*:7 count=count+1 TTagZI$ Wend K0A[xkX6 op.Type = "ShiftZ" `;Od0uh op.val1 = taq-0.01 zFi)R }Ot op.parent = parID (&i
c3/- AddOperation eID, op X<sM4dwxE FFtB# Print "Set pupil diameter = " & pupilDiam 6w`.'5 7TtDI=f 'Update AZ Eye subassembly Description ]y9u5H^ eID = FindFullName( "Geometry.Arizona Eye" ) `T,^os#6 GetEntity eID, entity W"!{f entity.Description = "Accommodation = " & A & "D" JA09 o( SetEntity eID, entity &|fPskpy 7}L.(Jp9 Update bn:74,GeyK Print "DONE!" <5!)5+G O03N$Jq
A End Sub L[voouaqm RF }R~m9] 如果屈光度是4,光瞳直径是4,则会输出如下数据: ujW C!*W(Q SuA
@S Accommodation = 4 Diopters S&F[\4w5] Pupil Diameter = 4 mm Y41b8.|P+ Set aqueous humor thickness = 2.81 ]T=o >% Set anterior lens radius = 10.4 and conic constant = -2.375869 .I Io Set posterior lens radius = -4.424557 and conic constant = -3.081019 V'FKgzd Set lens thickness = 3.927 # AH gY. Set lens index of refraction = 1.42672 f5z*AeI Set pupil diameter = 4 U!jRF DONE! Mw`S.M. B c?*x2Vk
w~~[0e+E QQ:2987619807 BsR3$
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