|
简介 sXFZWj}\ 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。
o66}yJzmD F:S}w 模型 k8zI(5.> w``U=sfmV 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。 oEpFuWp%A A.w.rVDD Table 1. AZ眼睛模型的定义 k!Y, 63V= 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. 1$h,m63) r9?Mw06Wc5 光源 & 1f+, c-sfg>0 ^ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 scV5P Uq ^U/O!GK pMM8-R'W- 图1. 光源和提示信息使用 )vlhN2iv 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 7b+6%fV S,8elKH4 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 G' 1'/ _lq`a\7e 图2. 字母F光源的设定方法光 GTHt'[t@; I7]8Y=xf 图3. 字母F在视网膜上位置点列图 "#g}ve, 视网膜的散射 &UFZS94@r JW&gJASGC 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 !5!<C,U
Q+{n-? : *0ro0Z|Iq 图4. 视网膜朗伯散射设定 6aj!Q*(WT 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ! 8b^, * v#o dc'Y`e 图5. 视网膜重点采样规格设定 x?<FJ"8"k 脚本 vP,n(reM _#8MkW#]~ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: -G=]=f/' GLODVcjf 图6. 用户对话框的创建与编辑 CvdN"k 图7. 用户对话框编辑器 \{D"
!e 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 2Khv>#l
余下的脚本计算与屈光度有关的所有参数。 (;,sc$H] !'I8:v&D 分析 #0<XNLM 1 -b_~DF 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K)P%;X O".=r} 图7. 字母F在视网膜上颜色分析 *NQ/UXE 脚本代码 [-x7_=E# `H+lPM66 Option Explicit 'Remove this to enable non-dimensioned variables to be used. Z30A{6} ")25
qZae Dim entity As T_ENTITY E(|>Ddv B& Dim op As T_OPERATION t`QENXA} Dim mat As T_MODELMATERIAL TsZ@ Dim A As Double >R=|Wo`Ri Dim pupilDiam As Double 3gf1ownC Dim eID As Long M3Kfd Dim parID As Long j+YJbL v Dim count As Integer e';_Y>WQy Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double aQ~s`^D Dim tlens As Double, nlens As Double !!y a Dim curv As Double, conic As Double Q@H V- (A Dim ok As Long !&\INl-Z S
tyfB Sub Main 1 {)Q[#l p4)Q&k! '用户输入对话框 ?%kV?eu' Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 mVmGg, TextBox 220,21,40,21,.TextBox1 'default: 0 i?;Kq~, Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 3M= OKButton 40,91,90,21 ET >](l9 CancelButton 190,91,90,21 |&jXp%4T Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 C.QO#b TextBox 220,49,40,21,.TextBox2 'default: 4 9ll~~zF99| End Dialog 5(8@%6>ruj Dim dlg As UserDialog D#z:()VT( -{_PuJ " ok = Dialog (dlg) 3mni>*q7d h.fq,em+H If ok=0 Then 'cancel button was pressed =qIyqbXz Print "Execution cancelled." Q7A MRrN End ;=UsAB] End If u-C)v*#L L.WljNo 'Assign accommodation and pupil diameter & use defaults if field left empty -{+}@? If dlg.TextBox1 = "" Then V1JIht>Opo A = 0 'Default accommodation Lh<).<S Else b u"!jHPB A = CDbl(dlg.TextBox1) &VcV$8k End If FCn_^l)EA snikn& If dlg.TextBox2 = "" Then yCX?!E;La pupilDiam = 4 'Default pupil diameter 3D(0=$W Else VD\=`r)nT pupilDiam = CDbl(dlg.TextBox2) A +)`ZTuO End If zv"Z DRW I`p;F!s Print " " E+JqWR5 Print "Accommodation = " & A & " Diopters" ?pZOeqqu$ Print "Pupil Diameter = " & pupilDiam & " mm" <"|,"hA Wxe0IXq3Nn ' Calculate new parameters with accommodation &8 x-o, taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness K96<M);:g JO<wU Rant = 12.0 - 0.4*A 'Radius of anterior lens WeiFmar CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens n.G!43@*N #lW`{i Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ^v`\x5"Vp CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens uRr o?m< 0_t`%l= tlens = 3.767 + 0.04*A 'Lens thickness *`RkTcG ][h} nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction j,dR,N d hfy_3} _ 'Adjust parameters to account for accommodation {jX2} >J>[& zS '************************************************************************* )%@J=&G8TT 'Aqueous thickness (Position of Lens) >&5DsV.B '************************************************************************* NPe%F+X eID = FindFullName( "Geometry.Arizona Eye.Lens" ) EJNU761 GetCustomElement eID, entity :zF,A,) Fun^B;GA: parID = FindFullName( "Geometry.Arizona Eye" ) -pXSSa;O9 kq,ucU%>p ' Delete any shift(s) in z ;x@~A^<el count = 0 8q}q{8 While GetOperationCount(eID)>count xjj6WED GetOperation eID, count, op eM?I$eP TN If op.Type="ShiftZ" Then -I,$_ DeleteOperation eID,count 'u |c count=count-1 VZmLS 4E End If <T|3`#o0 count=count+1 Q| ?L*Pq2I Wend U0N 60 U/l&tmIVY 'Set new shift in X=fYWj[H, op.Type = "ShiftZ" 8i#2d1O op.val1 = taq !\.pq 2 op.parent = parID *]/zc1Q4M AddOperation eID, op CD( :jM? Print "Set aqueous humor thickness = " & taq-0.55 V7fq4O^: CSq4x5!_7> '************************************************************************* iE^84l68 'Radius and conic constant of anterior lens XXcl{1Kp!@ '************************************************************************* ++Ts eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;dZZ;#k% GetConic eID, entity, curv, conic hVAn>_( 9BBmw(M} SetConic eID, entity, 1/Rant, CCant ;m{1_ 1 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant O$j7i:G'5 F {4bo$~> '************************************************************************* jrr*!^4| 'Radius and conic constant of posterior lens &n}f? '************************************************************************* /quc}"__ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) J^5So GetConic eID, entity, curv, conic < ?}-$ jaMjZp;{( SetConic eID, entity, 1/Rpost, CCpost dx{bB%?Y\= Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost sF?TmBQ* j0S#>t '************************************************************************* @oY~..d` 'Lens thickness (Position of posterior lens surface) )<;Y-u.UW '************************************************************************* a /l)qB# g:D>.lKd parID = FindFullName( "Geometry.Arizona Eye.Lens" ) e~[/i\ [{<`o5qR ' Delete any z-shift(s) m^f0V2M_ count = 0 2%@4] While GetOperationCount(eID)>count ag#S6E^%S GetOperation eID, count, op mD0f<gJ1 If op.Type="ShiftZ" Then M!A}NWF DeleteOperation eID,count $i}y 8nlQ count=count-1 aS{n8P6vW End If 6YLj^w] % count=count+1 YY((V@|K Wend >:S?Mnv6 zRl3KjET 'Set new z-shift j4qR(p(vC op.Type = "ShiftZ" ?'Xj
g#}< op.val1 = tlens ogtEAv~e7N op.parent = parID U;V7 u/{ AddOperation eID, op uK#4(eY=W Print "Set lens thickness = " & tlens ?'#`
nx(! }Qc@m9;bH '************************************************************************* HU}7zK2 'Lens index of refraction ,p@y]
cr '************************************************************************* `* ["UER eID = FindMaterial( "Lens" ) UcDS9f_87 GetModelMaterial eID, mat z^q0/' trA4R/
& mat.Nd = nlens 6BHXp#
#z SetModelMaterial eID, mat vNY{j7l/W Print "Set lens index of refraction = " & nlens bv9]\qC]T< _476pZ_ '************************************************************************* >~sI8czR* 'Pupil diameter dulI&_x '************************************************************************* u+e{Mim eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) v
~?qz5:K~ cAqLE\h 'Adjust pupil diameter (trimming volume inner hole) Oo8VeRZ m
3hrb- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" qQ/^@3tXL g i-$ZFzB ' Adjust pupil location to just in front of the lens \fr~ parID = FindFullName( "Geometry.Arizona Eye" ) nH'e?>x~e eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,~$p,ALwN7 count = 0 [{,T.;'<j While GetOperationCount(eID)>count L>NL:68yN GetOperation eID, count, op "]x'PI 4J If op.Type="ShiftZ" Then !r8`Yr n DeleteOperation eID,count FP`b>E qOH count=count-1 7~%?# End If G1tY) _-8[ count=count+1 T#Z^s~7&I Wend (k)v!O- op.Type = "ShiftZ" 9Cp-qA%t op.val1 = taq-0.01 |?xN\O^#} op.parent = parID <C iSK! AddOperation eID, op o#gWbAG;]b (vnAbR#e Print "Set pupil diameter = " & pupilDiam PO^ij2eS "ycJ:Xv49 'Update AZ Eye subassembly Description 6=/F$| eID = FindFullName( "Geometry.Arizona Eye" ) V>LwqS~` GetEntity eID, entity 7#a-u<HF" entity.Description = "Accommodation = " & A & "D" \fdv]f SetEntity eID, entity I)[DTCJ~ $G+@_' Update (D&3G;0tK Print "DONE!" )[IC?U:5I lh7#t# End Sub E_wCN&`[ |F[+k e 如果屈光度是4,光瞳直径是4,则会输出如下数据: hEH?[>9 iC~^)-~H=w Accommodation = 4 Diopters _Y4` xv0/ Pupil Diameter = 4 mm
A,<E\ Set aqueous humor thickness = 2.81 P>D)7V9Hh Set anterior lens radius = 10.4 and conic constant = -2.375869 Sy_G,+$\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 U_Ptqqt% Set lens thickness = 3.927 %OCb:s Set lens index of refraction = 1.42672 tw/dD + Set pupil diameter = 4 #q$HQ&k DONE! hWLA<wdb @Uvz8*b6 (文章来源:讯技光电)
|