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简介 i!SW?\ hF7V !*5 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。 pAJ=f}",]E iO%Zd[ 模型 gro7*< JHvFIo 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。 2!{_/@I\Y 5E]UI YAkV Table 1. AZ眼睛模型的定义 -O~C m}e 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. F* 3G_V '^Pq(b~ 光源 A+0T"2 q4sl=`L5Sp 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。 c&Gz>
L zQL!(2 y\F`B0#$ 图1. 光源和提示信息使用 K[Yc<Q 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。 Wk/fB0 S}zC3 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。 PU^[HC*K gq
H`GI 图2. 字母F光源的设定方法光 Hi]vHG( U/.w;DI 图3. 字母F在视网膜上位置点列图 I$aXnd6) 视网膜的散射 Q?*
nuE u{g]gA8s 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 *TJBPM, {[Uti^)m% "[awmZ:wo 图4. 视网膜朗伯散射设定 vn|TiZ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 'is,^q:@ | f"-|6 4|zd84g 图5. 视网膜重点采样规格设定 g/OI|1a 脚本 96vj)ql l*QIoRYFW 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示:
AGh~8[ D",A$(lG 图6. 用户对话框的创建与编辑 N1YgYL 图7. 用户对话框编辑器 F`fGz)Mk 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。 2#'rk'X,K 余下的脚本计算与屈光度有关的所有参数。 a;56k MPjr_yc] 分析 &\&'L|0F 6eD(dZ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?$<SCN= K{|w 43>D 图7. 字母F在视网膜上颜色分析 W=~id"XtJ 脚本代码 L5R `w&Up K1;zMh Option Explicit 'Remove this to enable non-dimensioned variables to be used. 3|q2rA &K06}[J Dim entity As T_ENTITY vkd *ER^ Dim op As T_OPERATION Er`TryN|} Dim mat As T_MODELMATERIAL W7%p^;ZQ$ Dim A As Double n49;Z,[~ Dim pupilDiam As Double fG<Dh z@ Dim eID As Long xy2\'kS`G Dim parID As Long Dz,uS nnm Dim count As Integer W|lH Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double SrSG{/{ Dim tlens As Double, nlens As Double +:}kZDl@ X Dim curv As Double, conic As Double *:?QB8YJ Dim ok As Long E
yd$fcRK M#ZT2~+CT Sub Main >g=^,G}y uH$oGY '用户输入对话框 OO-_?8I} Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 8098y,mQe TextBox 220,21,40,21,.TextBox1 'default: 0 jz|VF,l Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 hl`u"?rg OKButton 40,91,90,21 g&Z"_7L~ CancelButton 190,91,90,21 vxb@9eb!H Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 x,w8r+~5 TextBox 220,49,40,21,.TextBox2 'default: 4 |4=ihB9+ End Dialog u',b1 3g( Dim dlg As UserDialog ?'Cb-C_ H4W1\u ok = Dialog (dlg) Umij!=GPG^ ?qy*s3j'M If ok=0 Then 'cancel button was pressed kPW BDpzN Print "Execution cancelled." $Tfm/ =e End Qy/uB$q{A End If L,#^&9bHa# z23#G>I& 'Assign accommodation and pupil diameter & use defaults if field left empty NJk)z&M If dlg.TextBox1 = "" Then ;r3}g"D@ A = 0 'Default accommodation )u<eO FI+ Else KVg[#~3 A = CDbl(dlg.TextBox1) : g5(HH End If ~)_K"h.DY }*h47t} If dlg.TextBox2 = "" Then oI*d/* pupilDiam = 4 'Default pupil diameter 5PDSA* Else 7q!?1 -?8R pupilDiam = CDbl(dlg.TextBox2) 2R\+} End If [O(m/ u
>4ArtF Print " " uj)yk* Print "Accommodation = " & A & " Diopters" "$r1$mBi Print "Pupil Diameter = " & pupilDiam & " mm" alVdQfu GtC7^Z&E ' Calculate new parameters with accommodation "sD1T3!\)Q taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness P:qz2Hw c+~LpSQ Rant = 12.0 - 0.4*A 'Radius of anterior lens cu)U7 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens a#$N% =j !W~QT} Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0t+])> CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens
f\ 'T_ ~}K{e tlens = 3.767 + 0.04*A 'Lens thickness _H8*ReFG ;?zF6zvQ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "-P/jk Ia#"/`|| 'Adjust parameters to account for accommodation _W}(!TKO $T?]+2,6; '************************************************************************* +mLD/gK` 'Aqueous thickness (Position of Lens) zSKKr?{ '************************************************************************* JYQ.EAsr! eID = FindFullName( "Geometry.Arizona Eye.Lens" ) @`S.@^%7fO GetCustomElement eID, entity hXc}r6<B #jm@N7OZ parID = FindFullName( "Geometry.Arizona Eye" ) |g!`\@O eIJ[0c b} ' Delete any shift(s) in z ioWo ] count = 0 ^&NN]? While GetOperationCount(eID)>count F\-Si!~oOz GetOperation eID, count, op ^&MK42,\ If op.Type="ShiftZ" Then *7Xzht&f DeleteOperation eID,count xG1?F_] count=count-1 TM-Fu([LMV End If \E77SO,$ count=count+1 Fm5Q&'`l Wend !3V{2-y$- X8Fzs!L` 'Set new shift in 5{X*a op.Type = "ShiftZ" nA+F op.val1 = taq $''UlWK op.parent = parID 6OtVaT=}<O AddOperation eID, op GyK(Vb"h6 Print "Set aqueous humor thickness = " & taq-0.55 CdL.?^ @$c!/ '************************************************************************* K{2h9 ]VF 'Radius and conic constant of anterior lens #x)8f3I '************************************************************************* = ^s$
< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #w|5jN? GetConic eID, entity, curv, conic =k_UjwgN^ ]-bQNYKX SetConic eID, entity, 1/Rant, CCant |IN[uQ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant P0 b4Hq3 1qZG`Vz '************************************************************************* |'$ l7 'Radius and conic constant of posterior lens P,ydt '************************************************************************* V%51k{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y{+3}drJE GetConic eID, entity, curv, conic vxVOcO9< \z:<DsQ& SetConic eID, entity, 1/Rpost, CCpost Y[um|M315 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 3[VNsX V:Mk)8Gf| '************************************************************************* d}+W"j; 'Lens thickness (Position of posterior lens surface) M4:s;@qZ. '************************************************************************* l9J*um- F 7LiG9H6` parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (f>M &.. kceyuD$3G ' Delete any z-shift(s) s[X
B#)H4 count = 0 r6
}_H?j While GetOperationCount(eID)>count 6|#g+&[ GetOperation eID, count, op g "*;nHI D If op.Type="ShiftZ" Then cmDT
+$s DeleteOperation eID,count QN g\4% count=count-1 hB>^'6h+ End If 1tGgDbJU count=count+1 !y[3]8Xxv Wend gDC2
>nV &S-er{]] 'Set new z-shift vyU!+mlc op.Type = "ShiftZ" Yt{&rPv, op.val1 = tlens QBihpA1; op.parent = parID n&d/?aJ7a\ AddOperation eID, op /b%Q[
Ck_ Print "Set lens thickness = " & tlens $[z<oN_Q YgimJsm '************************************************************************* :1_mfX 'Lens index of refraction i}lRIXjdV '************************************************************************* -;Uj|^ eID = FindMaterial( "Lens" ) >rf5)Y~f GetModelMaterial eID, mat niWx^gKb$ <\aU"_D mat.Nd = nlens |^Kjz{ SetModelMaterial eID, mat C}Qt "-% Print "Set lens index of refraction = " & nlens 9g]M4*?C9P "8/dD]=f^a '************************************************************************* mi^hvks< 'Pupil diameter mH\@QdF '************************************************************************* 1;&T^Gdj eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) PGX+p+wB CDCC1B G" 'Adjust pupil diameter (trimming volume inner hole) ti9}*8 P
{H{UKs# SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vr4S9`, hW'
HT ' Adjust pupil location to just in front of the lens '9q6aM/& parID = FindFullName( "Geometry.Arizona Eye" ) m UgRm] eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) SFpQ# count = 0 'n4u-pM(nB While GetOperationCount(eID)>count q-IWRb0j%a GetOperation eID, count, op VMHC/jlX@r If op.Type="ShiftZ" Then =bL{i&& DeleteOperation eID,count 2C1+_IL count=count-1 UvBnf+, End If ea~i-7 count=count+1 o;QZe& Wend Sk=N [hwU op.Type = "ShiftZ" KY+]RxX op.val1 = taq-0.01 j)L1H*
S% op.parent = parID &yLc1#H AddOperation eID, op LdEE+"Jw 6mHhC? Print "Set pupil diameter = " & pupilDiam 6K 4+0xXv qd(hQsfqYU 'Update AZ Eye subassembly Description eq hAus?) eID = FindFullName( "Geometry.Arizona Eye" ) D]u=PqHk2 GetEntity eID, entity 4bI*jEc\[ entity.Description = "Accommodation = " & A & "D" JIV8q HC SetEntity eID, entity ;BVDt Le&;g4% Update K)5;2lN,
Print "DONE!" g+|Bf&_ zs8I End Sub (}~ucI<~ `~nCbUUee 如果屈光度是4,光瞳直径是4,则会输出如下数据: [z+x"9l0! ]o*$h$? s Accommodation = 4 Diopters |Fp'/~|w2d Pupil Diameter = 4 mm a))*F!}c Set aqueous humor thickness = 2.81 5i9Ub|!P Set anterior lens radius = 10.4 and conic constant = -2.375869 4z0L ke Set posterior lens radius = -4.424557 and conic constant = -3.081019 s0!kwrBsp Set lens thickness = 3.927 C #aFc01B Set lens index of refraction = 1.42672 e1^l.>2d6 Set pupil diameter = 4 os**hFPk;1 DONE! o#}mkE87
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