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简介 W]5USFan ^/U|2'$'>E 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。 GO^_=EMR[ /, ! B2 模型 =hMY2D H V;D?^F 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。 [!U?}1YQ o!!yd8~*r Table 1. AZ眼睛模型的定义 iV eC=^1 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. rhb@FE)Mc $]A/
o( 光源 ,.qMEMm #jxe%2'Ot 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。 $n^gmhp 'FS?a ()3O=! 图1. 光源和提示信息使用 }~Af/ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 1rDqa(7 g'|MA~4yB 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 6%VV,$p >G~R,{6U 图2. 字母F光源的设定方法光 eR3$i)5 MKWyP+6` 图3. 字母F在视网膜上位置点列图 6O}`i>/6M 视网膜的散射 U8G%YGMG.4
.fdL&z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 6l4mS~/ FTeu~<KpM hjQ~uqbg 图4. 视网膜朗伯散射设定 ;j)FnY=: - 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ._+J_ts PxfY&;4n! w#g#8o>' 图5. 视网膜重点采样规格设定 37RLE1Yf 脚本 ($~RoQ=0S H8'Z#"h 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: eVM/uDD ZPD[5)~ 图6. 用户对话框的创建与编辑 g{P%s'%* 图7. 用户对话框编辑器 _Y[jyD1> 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。 +r<0zh,n. 余下的脚本计算与屈光度有关的所有参数。 V}zEK0n(6 D2,z)O%VK 分析 I'@Ydt2 6HlePTf8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 e~"fn*" d`(@_czdF 图7. 字母F在视网膜上颜色分析 2^^=iU=!<| 脚本代码 A2nqf^b{# <Engi! Option Explicit 'Remove this to enable non-dimensioned variables to be used. UAyC.$! >(snII Dim entity As T_ENTITY &RTX6%'KY Dim op As T_OPERATION =k oSUVO0 Dim mat As T_MODELMATERIAL DK
oN}c Dim A As Double SC-
$B Dim pupilDiam As Double eBJUv]o % Dim eID As Long 5P'p2x#U Dim parID As Long cDI [PJ9 Dim count As Integer ru7RcYRq Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _Dwqy( Dim tlens As Double, nlens As Double @GvztVYo Dim curv As Double, conic As Double >X51$wBL Dim ok As Long WsDM{1c 2 6>ZW4Z Sub Main =?-ye!w 8dlw-Q'S '用户输入对话框 XduV+$03 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 [S@}T
zE TextBox 220,21,40,21,.TextBox1 'default: 0 }E7:ihy Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 a:_I OKButton 40,91,90,21 8Y#\xzod CancelButton 190,91,90,21 G!XIc>F* Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "C*B,D*}: TextBox 220,49,40,21,.TextBox2 'default: 4 {$1J=JbE End Dialog _kY#D;`:r Dim dlg As UserDialog ,<Q~b%(3 A Z{^o4<q ok = Dialog (dlg) 3<=G?of 0j_bh,zG# If ok=0 Then 'cancel button was pressed &V)6!,rb Print "Execution cancelled." 0n/gd"M End 9Mgq1Z End If NxLXm, ?r2 #.W 'Assign accommodation and pupil diameter & use defaults if field left empty {vE(l' If dlg.TextBox1 = "" Then fkSwD( A = 0 'Default accommodation vhb)2n Else Gxax2o A = CDbl(dlg.TextBox1) qSejLh6 End If dCFlM&(i W k}AmC If dlg.TextBox2 = "" Then c c pupilDiam = 4 'Default pupil diameter NOS>8sy Else w%zRHf8C pupilDiam = CDbl(dlg.TextBox2) aSP4a+\* End If |G/7_+J6 efY8M2 Print " " 9TAj) {U%' Print "Accommodation = " & A & " Diopters" {W\T"7H Print "Pupil Diameter = " & pupilDiam & " mm" z7-k`(l4 Bu]t*$ ' Calculate new parameters with accommodation T{}fHfM taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness WX4;l(PL= =@)d5^<5F Rant = 12.0 - 0.4*A 'Radius of anterior lens %AW4.3()8 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens AE@NOM7u &Sp -w?kM Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 4c+$%pq5 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens /Ky__l!bu s[Ur~Wvn tlens = 3.767 + 0.04*A 'Lens thickness /xJqJ_70X _U{&@}3
nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,Os? f:Y6 y3<Y?M4 'Adjust parameters to account for accommodation HWm#t./ {5|("0[F '************************************************************************* b|5w]<?' 'Aqueous thickness (Position of Lens) U,Mx@KdV '************************************************************************* rbZ[!LA eID = FindFullName( "Geometry.Arizona Eye.Lens" ) aV1lJ;0 GetCustomElement eID, entity p#KW$OQ]8 H7[6yh parID = FindFullName( "Geometry.Arizona Eye" ) 90xk$3( 0L^u2HZYL ' Delete any shift(s) in z Z"s|]K " count = 0 q:8_]Qt While GetOperationCount(eID)>count \b*X:3g* GetOperation eID, count, op m%#`y\]I If op.Type="ShiftZ" Then ir3VTqz DeleteOperation eID,count
>`jU`bR@ count=count-1 0qFH
s End If 6>
{r6ixs1 count=count+1 t_ur&.^SB Wend 4Tct 0D~ C
5}/4 'Set new shift in =iHiPvP0 op.Type = "ShiftZ" W@\ (nfD2 op.val1 = taq J g$xO@. op.parent = parID q|)Q9+6$+ AddOperation eID, op n+1y Print "Set aqueous humor thickness = " & taq-0.55 X%9*O[6{ ~]L}p '************************************************************************* 3_5XHOdE 'Radius and conic constant of anterior lens
StYzGJ '************************************************************************* fMf&?`V eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) P6U%=xaC GetConic eID, entity, curv, conic [XlB<P=|> TQ9D68
, SetConic eID, entity, 1/Rant, CCant <EO<x D=: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant k6\^p;!Y ]|:uU '************************************************************************* =sOo:s 'Radius and conic constant of posterior lens @o e\"vz '************************************************************************* f*xpE`& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) (!?K7<Jv GetConic eID, entity, curv, conic >P. 'CU dv
N<5~ SetConic eID, entity, 1/Rpost, CCpost 5c-N0@\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost sNU}n<J- @\Js8[wS9@ '************************************************************************* >adV(V< 'Lens thickness (Position of posterior lens surface) eR!G[C w- '************************************************************************* XT@Mzo49z\ #-cTc&$O; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'i>xf
^ 7]22"mc ' Delete any z-shift(s) +iF
1sC_ count = 0 D>wZ0p b- While GetOperationCount(eID)>count ^O%9yEo GetOperation eID, count, op q9}m!*8e If op.Type="ShiftZ" Then v@u<Ww;=@ DeleteOperation eID,count 3 EYiQ` count=count-1 S-Ai3)t6 End If ^i_Iqph= count=count+1 qs=tJ^<<o Wend So4nJ><p ulXnq` 'Set new z-shift E(L<L1:" op.Type = "ShiftZ" 'dt\db5p op.val1 = tlens S]2 {ZDP op.parent = parID ,-rB=|w AddOperation eID, op =3ADT$YHd Print "Set lens thickness = " & tlens b1!@v+ xRX>|S '************************************************************************* #s+X+fe 'Lens index of refraction E`@43Nz '************************************************************************* V,LVB_6 eID = FindMaterial( "Lens" ) F!8=FTb GetModelMaterial eID, mat :):zNn_>` Q_}/ Pn$1 mat.Nd = nlens fA8ozL T SetModelMaterial eID, mat dbO# Print "Set lens index of refraction = " & nlens Jyu`-=It YU\Gj S~>& '************************************************************************* ,d
7Z 'Pupil diameter 3ps,uozj '************************************************************************* V-vlTgemwc eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) G :4;y7 A8dI:E+$ 'Adjust pupil diameter (trimming volume inner hole) SFO&=P:U _bI+QC# SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" vR]mSX3)? ac6*v49 ' Adjust pupil location to just in front of the lens fS./y=j(X parID = FindFullName( "Geometry.Arizona Eye" ) #%cR%Z eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 5G?.T? count = 0 6q%ed
UED While GetOperationCount(eID)>count Fp:3#Bh GetOperation eID, count, op #?m{YT{P If op.Type="ShiftZ" Then 0>Fqx{!heq DeleteOperation eID,count sx-F8:Qa count=count-1 2z-$zB<vyw End If QGPR.<D)B count=count+1 },6*Y*?{ Wend 37KU~9-A op.Type = "ShiftZ" v*L
'{3f op.val1 = taq-0.01 pF='jj51 op.parent = parID _$(GRNRYK AddOperation eID, op =>YvA>izE #>q[oie1e Print "Set pupil diameter = " & pupilDiam X,Zd= cQ,9Rnfl, 'Update AZ Eye subassembly Description (C~dkR? eID = FindFullName( "Geometry.Arizona Eye" ) <|V'pim GetEntity eID, entity "%kGRHq entity.Description = "Accommodation = " & A & "D" s]bPV,"p SetEntity eID, entity yfq>, )KE_t^$ Update %Qd3BZ Print "DONE!" Bbs5f@E YZ*{^' End Sub cUC17z2D =kO@ Gk? 如果屈光度是4,光瞳直径是4,则会输出如下数据: X X&K=<,Ja l4Y1( Accommodation = 4 Diopters Y^5"qd|` Pupil Diameter = 4 mm }s6G!v^2"" Set aqueous humor thickness = 2.81 H%~Q?4 Set anterior lens radius = 10.4 and conic constant = -2.375869 &oc_a1R Set posterior lens radius = -4.424557 and conic constant = -3.081019 Mz}i[|U\ Set lens thickness = 3.927 1t%<5O;R Set lens index of refraction = 1.42672 gA"<MI'y Set pupil diameter = 4 \6 LcV ik DONE! CLktNR(45
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