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简介 =W(Q34 ha]VWt%} 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。 8'HEms BtkOnbz8X 模型 Ua:}V n&! 5TH~.^`Fi 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。 r8`ffH g];!&R- Table 1. AZ眼睛模型的定义 p$S*dr 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Z9v31)q( >FeX<L 光源 3#LlDC_WC qU \w= 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 y8]B:_iU9 KjD/o?JUr }7b%HTF= 图1. 光源和提示信息使用 \"7*{L: 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Xr,1&"B&t Hus)c3Ty7 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 s:n6rG sA+ }TNhq 图2. 字母F光源的设定方法光 R)c?`:iUB Amtq"<h9a 图3. 字母F在视网膜上位置点列图 M H|Og84 视网膜的散射 'p^t^=dQ y6g&Y.:o 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 g_;\iqxL fBU`k_ nGC/R& 图4. 视网膜朗伯散射设定 /p/]t,-j2 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ]vAz Sj3+l7S? z0d.J1VW 图5. 视网膜重点采样规格设定 &T#;-`' 脚本 eb?x9h D,k6$` 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: bTI|F]^! z}.e]|b^H 图6. 用户对话框的创建与编辑 '6DBs8>1 图7. 用户对话框编辑器 !Lu2 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。 ,V7nzhA2 余下的脚本计算与屈光度有关的所有参数。 -M\<nx wi!?BCseq 分析 9=s<Ld ]a>n:p]e 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 AzPu) y#`tgJ: 图7. 字母F在视网膜上颜色分析
2IK}vDsis 脚本代码 _5w]a 2 F/]2G^- Option Explicit 'Remove this to enable non-dimensioned variables to be used. 2_>N/Z4T ~?l |
[ Dim entity As T_ENTITY 1v y*{D Dim op As T_OPERATION )j6~Wy@4 Dim mat As T_MODELMATERIAL n3WlZ!$ Dim A As Double .7J#_*NV Dim pupilDiam As Double %mW{n8W3{ Dim eID As Long !M(xG%M-V Dim parID As Long Ao 'l"- Dim count As Integer rm7ANMB: Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double EAUEQk?9 Dim tlens As Double, nlens As Double X;$+,&M" Dim curv As Double, conic As Double e+EQ]<M Dim ok As Long )+#` CIv j;zM{qu_ Sub Main GC-5X`Sq cTifC1Pf '用户输入对话框 hDDn,uzpd Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 9+|$$) TextBox 220,21,40,21,.TextBox1 'default: 0 /WcG{Wdp Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6bg
;q(*7 OKButton 40,91,90,21 hW<%R]^| CancelButton 190,91,90,21 YP oSRA L Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Lj({[H7D! TextBox 220,49,40,21,.TextBox2 'default: 4 cZ,b?I"Q% End Dialog !|(-=2` Dim dlg As UserDialog $ Gf(38[w 2Ah#<k-gC; ok = Dialog (dlg) &C_j\7Dq g _9C* If ok=0 Then 'cancel button was pressed AI2)g1m Print "Execution cancelled." hPB9@hT$ End kdiM5l70 End If hPkp;a # 8S
TvCH"Z_ 'Assign accommodation and pupil diameter & use defaults if field left empty lf|FWqqV If dlg.TextBox1 = "" Then 4>
K42m A = 0 'Default accommodation !)f\%lb Else `7E;VL^Y1 A = CDbl(dlg.TextBox1) ,>a&"V^k End If [(i ]h`&&B qt If dlg.TextBox2 = "" Then k t#fMd$ pupilDiam = 4 'Default pupil diameter dFxIF;C>/ Else l:~/<`o pupilDiam = CDbl(dlg.TextBox2) k=$TGqQY? End If q>_.[+6 !/b>sN} Print " " BKCiIfkZ Print "Accommodation = " & A & " Diopters" s[>,X#7 y Print "Pupil Diameter = " & pupilDiam & " mm" [\eeDa ;+R&}[9,A) ' Calculate new parameters with accommodation +HpA:]#Y taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 5{WE~8$ gx/,)> E. Rant = 12.0 - 0.4*A 'Radius of anterior lens QE+g
j8 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens `,(4]tlL
J[|y:N Rpost = -5.224557 + 0.2*A 'Radius of posterior lens x;.Jw6g CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens rBzuKQK}J WDYeOtc tlens = 3.767 + 0.04*A 'Lens thickness ?=msH=N<l ! I:%0D nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction s]0{a.Cpv W+c<2?d: 'Adjust parameters to account for accommodation _yx>TE2e ($MlX BI '************************************************************************* oCv.Ln1;Z 'Aqueous thickness (Position of Lens) R%WCH?B<} '************************************************************************* 5V~oIL eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;4\2.*s GetCustomElement eID, entity ?zMHP#i 7aRi5 parID = FindFullName( "Geometry.Arizona Eye" ) O:R*rJ Et_bH%0 ' Delete any shift(s) in z PdFKs+Z` count = 0 EJ.SW5 While GetOperationCount(eID)>count 2jItq2.> GetOperation eID, count, op 2zA4vZkbcw If op.Type="ShiftZ" Then p4rL}Jm& DeleteOperation eID,count \:'/'^=#| count=count-1 M/'sl; End If r,3DTBe count=count+1 {<p?2E Wend )EuvRLo{S7 1=c\Rr9] 'Set new shift in eK=xrk op.Type = "ShiftZ" mDABH@R op.val1 = taq ah&D%8E op.parent = parID `AtBtjs RV AddOperation eID, op X7MM2V Print "Set aqueous humor thickness = " & taq-0.55 U$.@]F4& g)[V(yWu '************************************************************************* 4[r0G+ 'Radius and conic constant of anterior lens xrz,\eTb '************************************************************************* /SR*W5#s eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) dq6m>;` GetConic eID, entity, curv, conic $9#H04.x {\"x3;3!6 SetConic eID, entity, 1/Rant, CCant sf
qL|8 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 6vo;!V6 <z&/L/bl" '************************************************************************* t#})Awy^R 'Radius and conic constant of posterior lens ]@c+]{ '************************************************************************* L| +~"'l eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bHYy }weZ GetConic eID, entity, curv, conic Yui3+}Ms orpri O|qD SetConic eID, entity, 1/Rpost, CCpost iL&fgF"' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost O,
wJR -#[a7',Z; '************************************************************************* TDKki(o=~ 'Lens thickness (Position of posterior lens surface) l`{\"#4 '************************************************************************* &j`} vg PI)+Jr%L parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #e1>H1eU 81F/G5 ' Delete any z-shift(s) X1|njJGO1 count = 0 drP=A~?&: While GetOperationCount(eID)>count U^%Q}'UYym GetOperation eID, count, op ;O6;.5q& If op.Type="ShiftZ" Then gQg"j) DeleteOperation eID,count K~{$oD7! count=count-1 ~d4 )/y End If )gIKH{JYL count=count+1 Ad8n<zt| Wend =F~S?y S(I{NL}=$ 'Set new z-shift }Yzco52 op.Type = "ShiftZ" I\{ 1u op.val1 = tlens Q5`*3h6p= op.parent = parID ~{g [<Qi AddOperation eID, op @7]yl&LZ Print "Set lens thickness = " & tlens 5E;qM|Ns c
/HHy, '************************************************************************* x b~yM%*c 'Lens index of refraction EStB#V^ '************************************************************************* ,X-bJA@( eID = FindMaterial( "Lens" ) O)*+="Rg GetModelMaterial eID, mat zuad~%D<I D 6Ui! mat.Nd = nlens 9igiZmM SetModelMaterial eID, mat /{aj}M0kN Print "Set lens index of refraction = " & nlens b9J_1Gl] jh%Eq+#S '************************************************************************* Fn;SF4KOm 'Pupil diameter V)HG(k '************************************************************************* @ $ ;q; eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) QUc= &5 % #ym'AN 'Adjust pupil diameter (trimming volume inner hole) %KhI>O< ?%-DfCS SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vXf!G`D JN-y)L/> ' Adjust pupil location to just in front of the lens qZtzO2Mt parID = FindFullName( "Geometry.Arizona Eye" ) |!3DPA(_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ZF9z~9 count = 0 t;}|tgC While GetOperationCount(eID)>count 8B
K(4?gC GetOperation eID, count, op xQ-<WF1i If op.Type="ShiftZ" Then %~H-)_d20 DeleteOperation eID,count |O\s|H count=count-1 '4+
ur` End If EReZkvseC count=count+1 W.f/pu Wend 30#s aGV op.Type = "ShiftZ" #uG%j op.val1 = taq-0.01 XFHYQ2ME2 op.parent = parID %+W{iu[| AddOperation eID, op pk$l+sNZ= ICx#{q@f, Print "Set pupil diameter = " & pupilDiam eCU:Q ifMRryN4 'Update AZ Eye subassembly Description S"bg9o eID = FindFullName( "Geometry.Arizona Eye" ) ~F|+o}a`
GetEntity eID, entity A@!qv#' entity.Description = "Accommodation = " & A & "D" b.JuI SetEntity eID, entity )
<[XtK HSE!x_$ Update N]Yd9tn{ Print "DONE!" P6'1.R T= y}y End Sub 8yR.uMI$/ `!;_ho 如果屈光度是4,光瞳直径是4,则会输出如下数据: / |;RV" abmYA# Accommodation = 4 Diopters r"3=44St Pupil Diameter = 4 mm FF`T\&u Set aqueous humor thickness = 2.81 VX0 %a@ur Set anterior lens radius = 10.4 and conic constant = -2.375869 z1 |TC Set posterior lens radius = -4.424557 and conic constant = -3.081019 urs,34h Set lens thickness = 3.927 wY{-BuXv Set lens index of refraction = 1.42672 +aCv&sg Set pupil diameter = 4 TTX5EDCrC DONE! hc(#{]].
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