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简介 kL S(w??T +jqj6O@Tjr 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。 ;$BdP7i: ]bgY6@M 模型 }E}8_8T6 -Z^4L 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 "Jy~PcJZ1 [<wbbvXR Table 1. AZ眼睛模型的定义 p8+/\Ee]B 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. &s)0z)mR8& \Xt)E[ 光源 [B0K 15zrrU~D 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 !RlC~^
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V: 图1. 光源和提示信息使用 On1v<SD$[ 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。 )~rB}>^Z `BnP[jF 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。 cX
A t:m GIv){[i 图2. 字母F光源的设定方法光 z]Acs &!y]:CC{ 图3. 字母F在视网膜上位置点列图 -U>7
H`5 视网膜的散射 Jbp5'e
_ U&y`-@A4 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]7&IDA]]9 =V|Nn0E }r2[!gGd%| 图4. 视网膜朗伯散射设定 mjEs5XCC" 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。 LW39YMw< jxy1 PaVO"y]C 图5. 视网膜重点采样规格设定 XLTD;[jO 脚本 b
Dg9P^<n 4R +P 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: o@dy:AR acOJ]] 图6. 用户对话框的创建与编辑 ]@SU4 图7. 用户对话框编辑器 p\U*;'hv 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。 HR3_@^<7 余下的脚本计算与屈光度有关的所有参数。 (L|}` JJl7JwSTW 分析 !*P&Eat |5xz l 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 kUHie _
K/swT{f 图7. 字母F在视网膜上颜色分析 %yaG,;>U 脚本代码 yx0Q+Sm1: 6.Bh3p Option Explicit 'Remove this to enable non-dimensioned variables to be used.
H4skvIl *fP(6e#G, Dim entity As T_ENTITY (^H5EeGV{ Dim op As T_OPERATION 9bn2UiJk Dim mat As T_MODELMATERIAL EDN(eh(_ Dim A As Double S?,_<GD)w Dim pupilDiam As Double :l~E E! Dim eID As Long \|Qb[{<:, Dim parID As Long 8D2yR#3 Dim count As Integer G&o64W;-s Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double lcig7% Dim tlens As Double, nlens As Double M5Wl3tZL Dim curv As Double, conic As Double <bdyAUeFw Dim ok As Long +Pw,Nl\KD 99KVtgPm Sub Main Ofm5[q= wsfysat$ '用户输入对话框 XOxB
(0@ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Ea4
* o TextBox 220,21,40,21,.TextBox1 'default: 0 n4>cERfa Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 A7(M,4`6 OKButton 40,91,90,21 XTj73 MWY CancelButton 190,91,90,21 j m>U6 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (zmNa}- TextBox 220,49,40,21,.TextBox2 'default: 4 .b _? -Fv End Dialog [` 'd#pR Dim dlg As UserDialog q5?L1 s$3`X(Pn ok = Dialog (dlg) U"B.:C2 lzoeST If ok=0 Then 'cancel button was pressed ,F}r@ Print "Execution cancelled." =z-5 End (H[ End If M1(9A>|nF &gWiu9WbS 'Assign accommodation and pupil diameter & use defaults if field left empty B<+pg If dlg.TextBox1 = "" Then ,|iy1yg( A = 0 'Default accommodation j=Q$K#sBt Else G)~MbesJ A = CDbl(dlg.TextBox1) {Ve
D@ End If fwH`}<o (h|ch# If dlg.TextBox2 = "" Then k)i"tpw pupilDiam = 4 'Default pupil diameter U,38qKE Else bHJoEYY^ pupilDiam = CDbl(dlg.TextBox2) FbBX}n End If 08O7F blmmm(|~| Print " " rV~T>x Print "Accommodation = " & A & " Diopters" jjX%$Hr Print "Pupil Diameter = " & pupilDiam & " mm" 7y;u} 1 WzlS^bZ ' Calculate new parameters with accommodation +.wT
9kFcc taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness n_u`B|^Pj $kIo4$.Y$ Rant = 12.0 - 0.4*A 'Radius of anterior lens T|!D>l' CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ^ePsIl1E bz$Qk;m=H Rpost = -5.224557 + 0.2*A 'Radius of posterior lens h*G#<M CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens hMz&JJ&B s{cKBau tlens = 3.767 + 0.04*A 'Lens thickness
rWqkdi1 cP,;Qbe nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,b:n1 &q"'_4 'Adjust parameters to account for accommodation XL&hs+Y 6{ C Fe|XN '************************************************************************* 3y/1!A3 'Aqueous thickness (Position of Lens) V8\$`NEP '************************************************************************* Esb?U|F4 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) QTeFR&q8 GetCustomElement eID, entity H/pcXj %8a=mQl1^ parID = FindFullName( "Geometry.Arizona Eye" ) W\'Nv/L 70duk:Ri0 ' Delete any shift(s) in z g%X &f_@ count = 0 #jhQBb4?, While GetOperationCount(eID)>count m';#R9\Fz GetOperation eID, count, op .|U4N/XN%q If op.Type="ShiftZ" Then Q6eN+i2 ; DeleteOperation eID,count {ip=iiW2 count=count-1 //~POm End If " \`BPN count=count+1 g&q]@m Wend fVG$8tB -g9^0V`G 'Set new shift in v'h3CaA9j op.Type = "ShiftZ" DakLD~H; op.val1 = taq 1 pa*T! op.parent = parID 1!X1wCT AddOperation eID, op k\nH&nb Print "Set aqueous humor thickness = " & taq-0.55 kV_#9z7% Z+r%_|kZ '************************************************************************* bd,Uz%o_ 'Radius and conic constant of anterior lens +:fqL '************************************************************************* <"hb#Tn eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) YW'{|9KnI GetConic eID, entity, curv, conic 5?Uo&e eVZa6la" SetConic eID, entity, 1/Rant, CCant txj wZ_p Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant $*YC7f J 5Wz4`' '************************************************************************* d&NCFx 'Radius and conic constant of posterior lens /&*m1EN#o '************************************************************************* \s.1R/TyD eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0[V&8\S~'T GetConic eID, entity, curv, conic z\e>DdS +8Of-ZUx SetConic eID, entity, 1/Rpost, CCpost )?F$-~7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost
o G(0i J"/JRn '************************************************************************* UedvA9$&; 'Lens thickness (Position of posterior lens surface) I/^q+l.=`{ '************************************************************************* ,DexJ1 A
Z4|&iT parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F9Ifw><XM [u/zrpTk ' Delete any z-shift(s) t9?R/:B% count = 0 _L?v6MTj While GetOperationCount(eID)>count C<r(-qO{5 GetOperation eID, count, op `%FIgE^ If op.Type="ShiftZ" Then xIS\4]F?r DeleteOperation eID,count Ix*BI9E count=count-1 vh<]aiY End If "V*kOb&'*Z count=count+1 ATKYjhc _ Wend q,<n,0)K )9;(>cdl 'Set new z-shift g,00'z_D op.Type = "ShiftZ" }s`jl``PM op.val1 = tlens Ul'~opf op.parent = parID S1D9AcK AddOperation eID, op di-O*ug Print "Set lens thickness = " & tlens b}ySZlmy hknwis%y '************************************************************************* BengRG[ 'Lens index of refraction e#l*/G*, '************************************************************************* a"`g"ZRx eID = FindMaterial( "Lens" ) =giM@MV GetModelMaterial eID, mat [ea6dv4p S% JNxT7' mat.Nd = nlens 03X<x| SetModelMaterial eID, mat M[:O( Print "Set lens index of refraction = " & nlens SRA|7g}7W c*y$bf< '************************************************************************* 2x)0?N[$O 'Pupil diameter NWo7wVwc/c '************************************************************************* * 23m- eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) xT_fr,P O, bfdc[g4 'Adjust pupil diameter (trimming volume inner hole) 1$='`@8I r[.zLXgK SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" _Vdb? .jU|gf:x ' Adjust pupil location to just in front of the lens B(4:_j\2 parID = FindFullName( "Geometry.Arizona Eye" ) Fpj6Atk eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) OoAr% count = 0 *kX3sG$8 While GetOperationCount(eID)>count GNhtnB GetOperation eID, count, op OYqYI!N/ If op.Type="ShiftZ" Then 1R5\GKF6o DeleteOperation eID,count !.;xt L count=count-1 l}2%?d End If $I}Hk^X count=count+1 % +kT Wend QrNL7{ op.Type = "ShiftZ" w8m8r`h op.val1 = taq-0.01 <F#*:Re_y op.parent = parID LyJTK1]# AddOperation eID, op 9A/Kn]s(jj M`9orq< Print "Set pupil diameter = " & pupilDiam Vq\..!y (n":]8} 'Update AZ Eye subassembly Description ?z)y%`} eID = FindFullName( "Geometry.Arizona Eye" ) Ckl7rpY+ GetEntity eID, entity t6<sNzF& entity.Description = "Accommodation = " & A & "D" t_dw}I SetEntity eID, entity SQ~N X) p:[`%<j0 Update ADLa.{ Print "DONE!" %vf2||a$BS xY\*L:TwW End Sub 4i[v
ew O]Ry3j 如果屈光度是4,光瞳直径是4,则会输出如下数据: F(KH- [x$eF~Kp Accommodation = 4 Diopters dPH!
V6r Pupil Diameter = 4 mm !\&7oAs=I Set aqueous humor thickness = 2.81 68'-1} Set anterior lens radius = 10.4 and conic constant = -2.375869 L5zG0mC8 Set posterior lens radius = -4.424557 and conic constant = -3.081019 u'$yYzBE Set lens thickness = 3.927 %|D\j-~ Set lens index of refraction = 1.42672 c5B_WqjJ Set pupil diameter = 4 :{wsd$Qlj DONE! @Q$/eL 9?g]qy,1) "x:)$@ QQ:2987619807 -KIVnV=&m
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