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简介 |w^nCsv 2ap0/l[ 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。 v?1xYG@1 wvSaq+N 模型 s2+s1%^Ll G5 x%:,n 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。 XAr YmO 0jwex Table 1. AZ眼睛模型的定义 t5za$kW'& 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. ~|)'vK8W +l$BUX 光源 ,}#l0BY B1gBvss 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。 3>sA_ q:v&wb% uod&'g{N 图1. 光源和提示信息使用 0~XZ 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。 ny~~xQ" Vz&!N/0i 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。 q>ps99[= Yf(QU`w_ 图2. 字母F光源的设定方法光 "Tm`V9 :u53zX[v 图3. 字母F在视网膜上位置点列图 j kIgEF2d* 视网膜的散射 p[%FH? f~? MNJ2 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。 DPZG_{3D i/UHDqZ `H6kC$^Ofx 图4. 视网膜朗伯散射设定 E|d 8vt 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 J;g+ qMe$Qr8 Bq]eNq 图5. 视网膜重点采样规格设定 4HK#]M>yz 脚本 mMvt#+O 8FThu[ 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: y\&`A:^[ A !7-dqw%l 图6. 用户对话框的创建与编辑 5}4r'P$m: 图7. 用户对话框编辑器 ^J]~&.l 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。 xeX Pc7JG 余下的脚本计算与屈光度有关的所有参数。 _0<EbJ8Z (TV ye4Z 分析 qJN2\e2~f eZm,K'/! 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~sSlfQWMzy jdGoPa\ 图7. 字母F在视网膜上颜色分析 TnqspS2;R 脚本代码 C<\|4ERp s^b2H
!~ Option Explicit 'Remove this to enable non-dimensioned variables to be used. <OcD [5 T0ebW
w Dim entity As T_ENTITY E8~Bp-G) Dim op As T_OPERATION Y\len Dim mat As T_MODELMATERIAL N (W;(7 Dim A As Double X99:/3MXB' Dim pupilDiam As Double Bp`?inKBOd Dim eID As Long K
-!YD}OF Dim parID As Long &AI/;zru Dim count As Integer 1#9 Q1@'OS Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double $)M8@d Dim tlens As Double, nlens As Double h`OX()N Dim curv As Double, conic As Double #AzZ4<;7 Dim ok As Long eEIa=MB* '8v^.gZ Sub Main D0D0=s ([='LyH];z '用户输入对话框 >v9 (" Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1O0o18' TextBox 220,21,40,21,.TextBox1 'default: 0 7c9-MP) Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _
a|zvH OKButton 40,91,90,21 t/\J CancelButton 190,91,90,21 N246RV1W Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 @JS O=8 TextBox 220,49,40,21,.TextBox2 'default: 4 lz?F ,]. End Dialog J)iy6{0" Dim dlg As UserDialog C#`VVtei NuKktQd ok = Dialog (dlg) K%ltB& , [xDNl[Y| If ok=0 Then 'cancel button was pressed -9)<[>: Print "Execution cancelled." G%w hOIFRq End qr[H0f] End If z^to"j ixZ w;+h 'Assign accommodation and pupil diameter & use defaults if field left empty Gk0f#; If dlg.TextBox1 = "" Then <GI{`@5C A = 0 'Default accommodation ;H5PiSq;z Else Q<.847 ) A = CDbl(dlg.TextBox1) UGK4uK+I` End If tY^ MP5* [!B($c|\ If dlg.TextBox2 = "" Then J fFOU!F\ pupilDiam = 4 'Default pupil diameter `VT[YhO#} Else oqa]iBO pupilDiam = CDbl(dlg.TextBox2) ^| L@f End If (5y+g?9d; *6oQW Print " " 3A'vq2beM Print "Accommodation = " & A & " Diopters" '`$z!rA Print "Pupil Diameter = " & pupilDiam & " mm" X(nbfh?n :uE:mY%R ' Calculate new parameters with accommodation [m3[plwe taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness E? 1"&D
m [;3` Aw Rant = 12.0 - 0.4*A 'Radius of anterior lens zWYm*c"n\ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens >6ul\xMU .'QE o Rpost = -5.224557 + 0.2*A 'Radius of posterior lens zi7,?bD CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens n4Od4&r Fdsaf[3[v tlens = 3.767 + 0.04*A 'Lens thickness BFP (2j t .*z)N nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Ffxf!zS =~M%zdIXv 'Adjust parameters to account for accommodation 5}d"nx }!=}g|z#| '************************************************************************* :td#zM 'Aqueous thickness (Position of Lens) `NqX{26GV+ '************************************************************************* ,f
..46G eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0J-] GetCustomElement eID, entity /XtpGk_1) PMER~}^ parID = FindFullName( "Geometry.Arizona Eye" ) H4[];&]xr #w\Bc\ ' Delete any shift(s) in z T=6fZ;7 count = 0 P%`|Tu!B While GetOperationCount(eID)>count fx&b*OC GetOperation eID, count, op zs!}P If op.Type="ShiftZ" Then |_q:0qo DeleteOperation eID,count bqjj6bf'o count=count-1 HP T{83 End If 6( 1xU\x count=count+1 f>$Ld1 Wend [C)JI; \ ^B[%|{cO 'Set new shift in {k.Dy92 op.Type = "ShiftZ" @]$qJFXx op.val1 = taq g wM~W op.parent = parID 6*3J3Lc_< AddOperation eID, op ~ KNdV Print "Set aqueous humor thickness = " & taq-0.55 )aY^k|I 2,.%]U '************************************************************************* a%f?OsY 'Radius and conic constant of anterior lens '_)NI '************************************************************************* {=]1]IWt eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 8SmtEV[b3 GetConic eID, entity, curv, conic =/xTUI4 P} =eR SetConic eID, entity, 1/Rant, CCant 4j9 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -oGJPl {r 2p3ep, '************************************************************************* 3fC|}<Wzt 'Radius and conic constant of posterior lens 9y/gWE '************************************************************************* }2qmL$ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Wl3jbupu _ GetConic eID, entity, curv, conic qkX}pQkG)h OE,uw2uaT SetConic eID, entity, 1/Rpost, CCpost V&)lS Qw Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XAN{uD^3\% F$ a?} } '************************************************************************* .;6G?8` 'Lens thickness (Position of posterior lens surface) nsChNwPX '************************************************************************* Y XC?q ni @Mqb parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Zkn$D: G/tah@N[7 ' Delete any z-shift(s) 4{2)ZI# count = 0 b}P5*}$:9" While GetOperationCount(eID)>count <.c@l,[.z GetOperation eID, count, op 9:tvkl If op.Type="ShiftZ" Then .:eNL]2%: DeleteOperation eID,count ~z''kH=e
count=count-1 ,,+ ~./) End If Z
Mp count=count+1 _E({!t"` Wend :UuPy|> ;1Kxqpz_i 'Set new z-shift i*16kdI. op.Type = "ShiftZ" 5gpqN)|)[ op.val1 = tlens F">>,Oc)U" op.parent = parID .HTX7mA3 AddOperation eID, op t(SSrM] Print "Set lens thickness = " & tlens #A|~s;s>N ~<0!sE&y '************************************************************************* 7h?yAgDv~ 'Lens index of refraction I+ipTeB^ '************************************************************************* ,6[}qw)* eID = FindMaterial( "Lens" ) m.~&n!1W*` GetModelMaterial eID, mat ;]<{<czc PPCZT3c= mat.Nd = nlens q9n0bw^N SetModelMaterial eID, mat wE K@B&DV Print "Set lens index of refraction = " & nlens .ON+ (
#n *qcL(] Yq '************************************************************************* U:]b&I 'Pupil diameter yVPkJ '************************************************************************* \FOX#|i) eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) s)]Z*#ZZ cK.T=7T 'Adjust pupil diameter (trimming volume inner hole) UXB[3SP SU, t,i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" I>b-w;cC )2X ng_, ' Adjust pupil location to just in front of the lens g{8R+ parID = FindFullName( "Geometry.Arizona Eye" ) x{io*sY- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) zE VJ count = 0 QjfQoT F While GetOperationCount(eID)>count n3{m
"h3 GetOperation eID, count, op P=&J e? If op.Type="ShiftZ" Then (sw1HR DeleteOperation eID,count "m]"%MU78 count=count-1 t"1'B!4 End If $;*YdZ`q count=count+1 G)l[\6Dn Wend o"^}2^)_SR op.Type = "ShiftZ" zx\N^R;Jq op.val1 = taq-0.01 )@Yp;=l op.parent = parID qR < AddOperation eID, op amf=uysr {+[~;ISL Print "Set pupil diameter = " & pupilDiam =$5[uI2 uPe4Rr 'Update AZ Eye subassembly Description &sL5Pt_ eID = FindFullName( "Geometry.Arizona Eye" ) wxZnuCO%H8 GetEntity eID, entity lwLK#_5u entity.Description = "Accommodation = " & A & "D" yz-IZt( SetEntity eID, entity !)tXN=(1a 6<H[1PI`,G Update ,TU!W|($ Print "DONE!" 9#%(%s2+ +7<{yP6wU End Sub XzQ=8r>l :EyH'v 如果屈光度是4,光瞳直径是4,则会输出如下数据: :5?ti >c7/E Accommodation = 4 Diopters ac.O#6& Pupil Diameter = 4 mm #I@]8U#,": Set aqueous humor thickness = 2.81 l3}n.ODA Set anterior lens radius = 10.4 and conic constant = -2.375869 i`r,B`V`08 Set posterior lens radius = -4.424557 and conic constant = -3.081019 "}K/ b Set lens thickness = 3.927 k`js~/Xv Set lens index of refraction = 1.42672 +nd'Uf
Set pupil diameter = 4 17{]QuqNF DONE! :=~%& W<2%J)N< cFUYT$8> QQ:2987619807 ?9vBn
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