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简介 z46~@y%k Y.rsR6 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。 WW~sNC\3`( o3P${Rq 模型 Ai3*QX VjZ|$k 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。 Lnl=.z`jK +iRh Table 1. AZ眼睛模型的定义 . 3T3EX|G 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. hhc,uJ">! VuZuS6~#J 光源 ;iL#7NG-R =GMkR+<) 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。 DsCcK3 k RMu~l@ 'I6i,+D/q 图1. 光源和提示信息使用 y}ev ,j 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*s{{[/' -gX1-,dE 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。 `Eo.v#< }00BllJ 图2. 字母F光源的设定方法光 -X2Buz8 _F|Ek ;y% 图3. 字母F在视网膜上位置点列图 wjB:5~n50k 视网膜的散射 M-Y_ Wb3 [5Mr@f4I 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。 'e'cb>GnA P{lB50 ~dTrf>R8M 图4. 视网膜朗伯散射设定 z5*'{t) 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。 K`fuf= M&9+6e'-F $}<e|3_ 图5. 视网膜重点采样规格设定 '!~)?C< 脚本 -k"/X8 5MJS
~( 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: z[qDkL lZKi'vg7 图6. 用户对话框的创建与编辑 $c(nF01 图7. 用户对话框编辑器 wgGl[_) 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 ":QZy8f9% 余下的脚本计算与屈光度有关的所有参数。 ^RIl &E5g3lf 分析 ,UF_`| .V8Lauz8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 N6i Q8P- b,1ePS
图7. 字母F在视网膜上颜色分析 {9.|2%a 脚本代码 lA8`l>I UH"%N)[ Option Explicit 'Remove this to enable non-dimensioned variables to be used. 88wa7i* _L=h0H l Dim entity As T_ENTITY `*1p0~cu
Dim op As T_OPERATION j3E7zRm] \ Dim mat As T_MODELMATERIAL 4ID5q~ Dim A As Double Qj3EXb Dim pupilDiam As Double HY:7? <r Dim eID As Long #Ki[$bS~6 Dim parID As Long rf{rpe$ Dim count As Integer FXkM#}RgNm Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ,.FxIl] Dim tlens As Double, nlens As Double xMG~N`r Dim curv As Double, conic As Double FJ)$f?=Qd Dim ok As Long $*=<Yw4 <frutU16\ Sub Main k~1?VQ+?M 0oIe>r '用户输入对话框 .3Oap*X Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 PB\x3pV!} TextBox 220,21,40,21,.TextBox1 'default: 0 S;`A{Mow Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,r\o}E2 OKButton 40,91,90,21 Wg]Qlw`\| CancelButton 190,91,90,21 ;>7De8v@@ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 WNrk}LFof TextBox 220,49,40,21,.TextBox2 'default: 4
r3UUlR/Do End Dialog /f;~X"! Dim dlg As UserDialog h2fNuu" k\?Ii<m ok = Dialog (dlg) Qq|57X)P* k~nBiV If ok=0 Then 'cancel button was pressed JDT`C2-Q Print "Execution cancelled." BLD gt~h# End h(EhkCf End If .,6-u vUM4S26"NT 'Assign accommodation and pupil diameter & use defaults if field left empty XlR@pr6tw If dlg.TextBox1 = "" Then c\AfaK^KF A = 0 'Default accommodation cSV aI Else Lw>N rY(Y A = CDbl(dlg.TextBox1) ;uP:"k End If 3)ywX&4"L ?.BC#S)q1 If dlg.TextBox2 = "" Then Uz]|N6` pupilDiam = 4 'Default pupil diameter H9e<v4c Else G" "ZI$` pupilDiam = CDbl(dlg.TextBox2) U-M>=3|N End If 8bld3p"^ rFL;'Cj@ Print " " pFjK}JOF Print "Accommodation = " & A & " Diopters" Er?&Y,o Print "Pupil Diameter = " & pupilDiam & " mm" gRcQt : pYf-S?Y/V ' Calculate new parameters with accommodation fI|Nc taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $~T4hv : EXqE~afm2 Rant = 12.0 - 0.4*A 'Radius of anterior lens f) L CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 0<@@?G {"KMs[M Rpost = -5.224557 + 0.2*A 'Radius of posterior lens I-l_TpM) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :d'8x }k.Z~1y tlens = 3.767 + 0.04*A 'Lens thickness e+fN6v5pU =@~Y12o?% nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction K]w'&Qm8W /N.U/MPL_ 'Adjust parameters to account for accommodation 3%b6{ie/= LZxNAua '************************************************************************* |P?*5xPB 'Aqueous thickness (Position of Lens) @cXMG6:{ '************************************************************************* K[zVa eID = FindFullName( "Geometry.Arizona Eye.Lens" ) eTcd"Kd/ GetCustomElement eID, entity z+X}HL Wmv#:U parID = FindFullName( "Geometry.Arizona Eye" ) \ @2R9,9E Ab.(7GFK ' Delete any shift(s) in z U| R_OLWAg count = 0 a0H+.W+] While GetOperationCount(eID)>count q'Pf] GetOperation eID, count, op s6`?LZ0(z If op.Type="ShiftZ" Then j^RmrOg, DeleteOperation eID,count [j+sC* count=count-1 PLBrP End If a/xn'"eli count=count+1 MkXmA`cP Wend c'\dFb9a SNk=b6`9 'Set new shift in wi{3/ op.Type = "ShiftZ" *MW\^PR? op.val1 = taq >Y@H4LF;1x op.parent = parID h^P#{W!e\ AddOperation eID, op {(Es(Sb}c Print "Set aqueous humor thickness = " & taq-0.55 ^E>3|du]O '[%j@PlCX '************************************************************************* Y"$xX8o 'Radius and conic constant of anterior lens uHRsFlw '************************************************************************* Z*6IW7# eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [AJJSd/: GetConic eID, entity, curv, conic >9Vn.S N!tX<u~2 SetConic eID, entity, 1/Rant, CCant ,64-1! Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -jmY)(\ `N8O"UcoBo '************************************************************************* )NT*bLRPQ 'Radius and conic constant of posterior lens sU^1wB
Rj '************************************************************************* <(#ej4ar, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6j|{`Zd)G GetConic eID, entity, curv, conic w5 Li&m 0#gK6o! SetConic eID, entity, 1/Rpost, CCpost 2y1Sne=<Kb Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k4zZ7H {?7Uj '************************************************************************* %E;'ln4h&, 'Lens thickness (Position of posterior lens surface) X2'0PXv>! '************************************************************************* ;8 lfOMf m+$VVn3Z} parID = FindFullName( "Geometry.Arizona Eye.Lens" )
K3l95he P[fq8lDA ' Delete any z-shift(s) *|HY>U. count = 0 ChQxa While GetOperationCount(eID)>count )D%~`,#pQ GetOperation eID, count, op J]r^W)O If op.Type="ShiftZ" Then I)HPO,7 DeleteOperation eID,count %A0/1{( count=count-1 ;-Aa|aT! End If e]$s
t? count=count+1 >=w)x,0yX Wend i,VMd + LJ73
! 'Set new z-shift @>7%qS op.Type = "ShiftZ" Y}KNKO; op.val1 = tlens MiX 43Pk] op.parent = parID iH'p>s5L AddOperation eID, op 5#z1bu Print "Set lens thickness = " & tlens M )(DZ} +aAc9'k '************************************************************************* 0b 54fD= 'Lens index of refraction b\,+f n '************************************************************************* {Y1Ck5 eID = FindMaterial( "Lens" ) 0PCGDLk8 GetModelMaterial eID, mat ]eV8b*d6 NwfVL4Xg mat.Nd = nlens MnHNjsO# SetModelMaterial eID, mat X5w$4Kj&4l Print "Set lens index of refraction = " & nlens A]3k4DLYS cidP|ie^ '************************************************************************* iN.n8MN=I 'Pupil diameter \
B%+fw '************************************************************************* !H\F2Vxs eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) z0Z%m@ >@Kx>cg+ 'Adjust pupil diameter (trimming volume inner hole) &xExyz~` tT._VK]o&R SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /zox$p$?h 1AFA=t:]p ' Adjust pupil location to just in front of the lens 6wg^FD_Q parID = FindFullName( "Geometry.Arizona Eye" ) \}G^\p6?M eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) "uf%iJ:% count = 0 wKY_Bo/d While GetOperationCount(eID)>count *OQ2ucC8j GetOperation eID, count, op JsS-n'gF' If op.Type="ShiftZ" Then f,Ghb~y DeleteOperation eID,count CU~PT. count=count-1 4{Z)8;QX End If $Z>'Jp count=count+1 K|s,ru Wend kSo"Ak! op.Type = "ShiftZ" [.}oyz;}N op.val1 = taq-0.01 [KQ6Ta. op.parent = parID :MDKC /mC AddOperation eID, op $`'/+x"% 'we>q@ Print "Set pupil diameter = " & pupilDiam nT)vNWT= ll?X@S 'Update AZ Eye subassembly Description BLJj(- eID = FindFullName( "Geometry.Arizona Eye" ) {7pli{` GetEntity eID, entity %xt^698&X entity.Description = "Accommodation = " & A & "D" W(/h Vt SetEntity eID, entity ]]Ufas9 &Hnz8Or! Update (uidNq Print "DONE!" HtYwEj I C9 j|OSgk End Sub a-J.B.A$Z/ N4HqLh23H 如果屈光度是4,光瞳直径是4,则会输出如下数据: 7IM@i>p% \lNN Msd& Accommodation = 4 Diopters Z5]>pJFq, Pupil Diameter = 4 mm !Xw5<J3L- Set aqueous humor thickness = 2.81 A+?`?pOm& Set anterior lens radius = 10.4 and conic constant = -2.375869 An/|+r\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 t.C5+^+% Set lens thickness = 3.927 9(<@O%YU Set lens index of refraction = 1.42672 J4U1t2@)9 Set pupil diameter = 4 /z $u]X DONE! ^LzF@{ G h!9ei6 Srd4))2/0 QQ:2987619807 ,9
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