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简介 =r1@?x 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。 n0<I `w/`qG:dK 模型 ^E`SR6_cmj .Pi8c[ 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。 D+xHTQNTL nK;c@!~pS Table 1. AZ眼睛模型的定义 '}.Z' %; 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. kqyPb$Wy mu#
a 光源 B0#JX
MX9 l~i&r?,]^ 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。 FCMV1, !e0~|8 uf<nVdC. 图1. 光源和提示信息使用 >)p8^jX 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。 GI$7uR} Zcg@]Sx(I 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。 %^ z##7^ TSHQ>kP 图2. 字母F光源的设定方法光 o9#8q_D9 t?<pyw $ 图3. 字母F在视网膜上位置点列图 5$.e5y<&( 视网膜的散射 }*s%|!{H \OX;ZVb?5 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。 F;;\I T0=%RID%= XlGDv*d:#d 图4. 视网膜朗伯散射设定 S eTn] 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。 N5\]VCX /3ty*LQT HbXYinG% 图5. 视网膜重点采样规格设定 &q0s8'qA 脚本 Nn]|#lLP 236,o
{9e 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: 0k\BE\PQk {, `) 图6. 用户对话框的创建与编辑 MmPLJ 图7. 用户对话框编辑器 27q=~R} 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。 3}lT"K 余下的脚本计算与屈光度有关的所有参数。 c. ;}e:)s G34fxhh 分析 _bm8m4Lk Bc^MZ~+ip 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Y3RaR
9 \Q m1+tg 图7. 字母F在视网膜上颜色分析 Sdn4y(&TP 脚本代码 ltH?Ew<] "g=g' W# Option Explicit 'Remove this to enable non-dimensioned variables to be used. "ke>O' 1FfSqd Dim entity As T_ENTITY [@LA<Z_ Dim op As T_OPERATION ;#jE??E/: Dim mat As T_MODELMATERIAL
ndCHWhi Dim A As Double ?f\ ~:Gm/ Dim pupilDiam As Double 6Yu&'[?H$ Dim eID As Long { *&Wc Os Dim parID As Long _)U[c;^6 Dim count As Integer 'l7ey3B% Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double B{ptP4As- Dim tlens As Double, nlens As Double V+'C71-P Dim curv As Double, conic As Double $>csm Dim ok As Long /+g9C([' S7Tc9"oqV Sub Main Z\9DtvV 4ZAnq{nR4 '用户输入对话框 v3q.,I_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 `1fNB1c
TextBox 220,21,40,21,.TextBox1 'default: 0 vl,Ff9 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 nB .?=eUa OKButton 40,91,90,21 ,VdNP CancelButton 190,91,90,21 JsZLBq*lP Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 b|'{f? TextBox 220,49,40,21,.TextBox2 'default: 4 9yrSCDu00 End Dialog gf\F%VmSN Dim dlg As UserDialog kl0|22"Gz _q7mYc ok = Dialog (dlg) @3_[NI% {/E_l If ok=0 Then 'cancel button was pressed io1hUZ Print "Execution cancelled." #i1z&b#@ End zZ*\v End If X]T&kdQ6q N" =$S|Gs 'Assign accommodation and pupil diameter & use defaults if field left empty r]<?,xx[ If dlg.TextBox1 = "" Then dPmtU{E<M A = 0 'Default accommodation 2C59fXfd Else !x@3U^${ A = CDbl(dlg.TextBox1) L $ki>._i\ End If =)Z~w` 4/J"}S If dlg.TextBox2 = "" Then pX LXkF? pupilDiam = 4 'Default pupil diameter |[B JZ Else snm1EPj pupilDiam = CDbl(dlg.TextBox2) #P)(/>nF End If RAUD8Z ~qu}<u)P Print " " D]StDOmM Print "Accommodation = " & A & " Diopters" VTIRkC
wl@ Print "Pupil Diameter = " & pupilDiam & " mm" :5,
k64'D !0DOj[" ' Calculate new parameters with accommodation p1`")$ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness z1vSt[s kmZ
U;Z Rant = 12.0 - 0.4*A 'Radius of anterior lens EWNm }C9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens WTX!)H6Zv Y0Bd[ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens *:tfz*FG$G CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens z\zqmW6 g* DBW, tlens = 3.767 + 0.04*A 'Lens thickness \{K~x@` og)f?4 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction oa
q!<lI $s,Az_bs 'Adjust parameters to account for accommodation l1uv]t < I\WBPI '************************************************************************* dR@XwEpP 'Aqueous thickness (Position of Lens) ';iLk[ '************************************************************************* Jnl#d0)
- eID = FindFullName( "Geometry.Arizona Eye.Lens" ) <R.Ipyt. GetCustomElement eID, entity FwaYp\z q2}6lf,J
K parID = FindFullName( "Geometry.Arizona Eye" ) <S@XK% @?CEi#- ' Delete any shift(s) in z 5ji#rIAhxh count = 0 {O"N2W While GetOperationCount(eID)>count Y'eE({)<K GetOperation eID, count, op =}wqo6Bn| If op.Type="ShiftZ" Then PGNH<E) DeleteOperation eID,count w3E#v&"=Y count=count-1 ] GH_; End If rcU*6`IWA count=count+1 wG}Rh, Wend _sX@BE "R
%3v.Z 'Set new shift in Kk|4 op.Type = "ShiftZ" >#EOCo op.val1 = taq 1%Su~Z"W> op.parent = parID m>&:)K}m AddOperation eID, op R!y`p:O
C Print "Set aqueous humor thickness = " & taq-0.55 ,f)#&}x*2+ F7lzc) '************************************************************************* kDWMget$ 'Radius and conic constant of anterior lens RElIWqgY '************************************************************************* =PAsyj eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) *9)yN[w GetConic eID, entity, curv, conic 07#e{ cZl/8?dj} SetConic eID, entity, 1/Rant, CCant :V
ZXI#([ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant y\@INA^ #2*6esP '************************************************************************* H%G|8,4 'Radius and conic constant of posterior lens Dg'BlrwbR '************************************************************************* 0$:jZ/._ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 45U!\mG GetConic eID, entity, curv, conic t~kh?u].j W+`T:Mgh SetConic eID, entity, 1/Rpost, CCpost ~d"9?K^# Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost +Vw]DLWR
"U o~fJ '************************************************************************* .)[0yW& 'Lens thickness (Position of posterior lens surface) 2kW*Z7@D '************************************************************************* D V=xqC6} :e!3-#H parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,ocAB;K 6`V~cVu ' Delete any z-shift(s) DTo P|P count = 0 (Q[(] dfc While GetOperationCount(eID)>count vNSeNS@jxC GetOperation eID, count, op D]NJ^.X If op.Type="ShiftZ" Then Ux+UcBKm- DeleteOperation eID,count B'8T+qvA count=count-1 v&r\Z @% End If 2f0qfF count=count+1 ?~=5x Wend <gu>06 RI&V:1 'Set new z-shift Z Is=%6""& op.Type = "ShiftZ"
?cKe~Q?3 op.val1 = tlens ,ePl>m:Z
op.parent = parID P&5kO;ia AddOperation eID, op EPd
Print "Set lens thickness = " & tlens NT;cTa=; fX{Xw0
'************************************************************************* vu|-}v?: 'Lens index of refraction xFp?+a '************************************************************************* W,bu=2K6 eID = FindMaterial( "Lens" ) TxvvCV^
GetModelMaterial eID, mat @r3,|tkrz qc"PTv0q mat.Nd = nlens tf4clzSTa SetModelMaterial eID, mat $8WeWmY Print "Set lens index of refraction = " & nlens M@<r8M]G DsCbMs=Y '************************************************************************* \W+Hzf]
W# 'Pupil diameter G0b##-.'^ '************************************************************************* k~IRds@G eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 3='Kii=LA K8 Hj)$E61 'Adjust pupil diameter (trimming volume inner hole) EFzPt?l {Y1&GO; SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" gPcOm
b -7(,*1Tk ' Adjust pupil location to just in front of the lens mu$rG3M parID = FindFullName( "Geometry.Arizona Eye" ) ~*hCTqHvN eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) i#:M2&twE count = 0 Ls/*&u While GetOperationCount(eID)>count 0`$fs.4c GetOperation eID, count, op H?wf%0 If op.Type="ShiftZ" Then >9,:i)m_ DeleteOperation eID,count BDT"wy8 count=count-1 DA^!aJ6iF End If Iwe count=count+1 Ib2n Bg>j Wend oq[r+E-]$@ op.Type = "ShiftZ" j026CVL op.val1 = taq-0.01 (N?nOOQ op.parent = parID 79Ur1-]/ AddOperation eID, op [7h/ 2La# o,[Em< Print "Set pupil diameter = " & pupilDiam ', P_a,\ [E)&dl_k 'Update AZ Eye subassembly Description ? $.x%G+ eID = FindFullName( "Geometry.Arizona Eye" ) qflOi8 GetEntity eID, entity ]e(\<R6Gf entity.Description = "Accommodation = " & A & "D" <['ucp
SetEntity eID, entity eqk.+~^ (g0U v.* Update 2[i(XG{/ Print "DONE!" : $N43_Wb _*-b0 }T End Sub 5V8`-yO9
+Ou<-EQV 如果屈光度是4,光瞳直径是4,则会输出如下数据: z-^/<u1p e,
}{$HStZ Accommodation = 4 Diopters vDCbD#.6 Pupil Diameter = 4 mm
Y}e3:\ Set aqueous humor thickness = 2.81 CPcB17! Set anterior lens radius = 10.4 and conic constant = -2.375869 ]sJjV
A Set posterior lens radius = -4.424557 and conic constant = -3.081019 BFZ\\rN` Set lens thickness = 3.927 {m/KD 'b_ Set lens index of refraction = 1.42672 N5 mhs# Set pupil diameter = 4 5?*Iaw DONE! >%A~ : W4"1H0s`l (文章来源:讯技光电)
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