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简介 f>s?4 M[ z)6. 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。 2P]L9'N{Y @"Z7nJX 模型 _{Sm k[ /
}R z=& 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。 Cn>ADWpT& Ug:\ Table 1. AZ眼睛模型的定义 dgDy5{_ 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. $''9K !r`, =jK" 光源 ifo7%XPcg 50
A^bbid 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 l ^d[EL+ ]r3Kg12Mi O:{U^K:* 图1. 光源和提示信息使用 X*Z8CM_ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 4O:W#bx ~V/?H!r'{} 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 t6BHGX{o <" @zn 图2. 字母F光源的设定方法光 oG7q_4+& kNT}dv]< 图3. 字母F在视网膜上位置点列图 }<z_Q_b+e 视网膜的散射 `]LSbS l<Q>N|1#k% 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 '+
xu#R DI`%zLDcY 0 a~HiIh 图4. 视网膜朗伯散射设定 7 ~ztwL 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 (Y+N@d |v[ Rp=?] bu&t'?zx! 图5. 视网膜重点采样规格设定 p#SY /KIw 脚本 0aoHKeP 5/gDK+%4D( 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: *WE1;msr JbO ~n
)%x 图6. 用户对话框的创建与编辑 _SACqamo5s 图7. 用户对话框编辑器 (_r EAEo 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 '!P"xBVAu 余下的脚本计算与屈光度有关的所有参数。 &TG5rUUg pG^}Xf2a 分析 cECi') n,~;x@=5 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .D4bqL w[_x(Ojq; 图7. 字母F在视网膜上颜色分析 PY3ps2^K. 脚本代码 NZN-^ > 0t#g} Option Explicit 'Remove this to enable non-dimensioned variables to be used. ES<{4<Kpx 5efxEt>U Dim entity As T_ENTITY \V2,pi8'v Dim op As T_OPERATION &x-TW,#Ks Dim mat As T_MODELMATERIAL vG^#Sfgtw Dim A As Double pPVRsXy Dim pupilDiam As Double o{*ay$vA] Dim eID As Long )'
xETA Dim parID As Long =2y8CgLj Dim count As Integer pium$4l2# Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double x'Pi5NRE Dim tlens As Double, nlens As Double kCUT ^ Dim curv As Double, conic As Double 19(Dj&x Dim ok As Long
u@p? hNXBVIL<& Sub Main NZu)j[" %~j2 ('Y '用户输入对话框 <DH*~tLp2 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 7%OKH<i\2< TextBox 220,21,40,21,.TextBox1 'default: 0 *QM~O'WhD Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 [oc~iDx%W OKButton 40,91,90,21 4R>zPEo CancelButton 190,91,90,21 Je4Z(kj 0 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 kW6%32 TextBox 220,49,40,21,.TextBox2 'default: 4 rZ_>`}O2 End Dialog oK+
WF Dim dlg As UserDialog IfDx@ ?OB 8 _d-81Dd ok = Dialog (dlg) nzX@:7g Uz%Z&K If ok=0 Then 'cancel button was pressed ? 81X Print "Execution cancelled." Q\{x)|{$ End [O-sVYB End If d~ng6pA vMSW$Bx ; 'Assign accommodation and pupil diameter & use defaults if field left empty >+cVs: If dlg.TextBox1 = "" Then %'L;FPxB A = 0 'Default accommodation 'ul\Q`N3 Else l{P\No A = CDbl(dlg.TextBox1) DE{h5-g End If 0MIUI<;j AB.(CS=i If dlg.TextBox2 = "" Then v7trr W} pupilDiam = 4 'Default pupil diameter <c,~aq#W' Else d]0a%Xh[ pupilDiam = CDbl(dlg.TextBox2) F.q|x|9j End If Jd
3@cLCe- :ipoD%@ Print " " Q^eJ4{Ya: Print "Accommodation = " & A & " Diopters" 3$M3Q]z Print "Pupil Diameter = " & pupilDiam & " mm" 9w;?- TbE:||r?^ ' Calculate new parameters with accommodation (7$$; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /jD-\,:L} fW0$s` Rant = 12.0 - 0.4*A 'Radius of anterior lens ^E>CGGS4 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens d-!<C7O} ]]iO- } Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {^q)^<#JT CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Ar,
9U9 0x)dnq\ tlens = 3.767 + 0.04*A 'Lens thickness 2BB<mv
K4 !FG%2L4?,5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction t
Y1Et0 Mpx/S<Z 'Adjust parameters to account for accommodation 'Am- vhpm x%BF{Sw '************************************************************************* :iY$82wQ 'Aqueous thickness (Position of Lens) 6`nR5 fh '************************************************************************* >w'$1tc?+F eID = FindFullName( "Geometry.Arizona Eye.Lens" ) X,fu! GetCustomElement eID, entity @YL}km&Fw KS>$`ax, parID = FindFullName( "Geometry.Arizona Eye" ) ahIE;Y\j' QocQowz ' Delete any shift(s) in z setLdEi count = 0 ~a+NJ6e1 While GetOperationCount(eID)>count y8s=\`~PR GetOperation eID, count, op LPE) If op.Type="ShiftZ" Then FRyPeZR DeleteOperation eID,count oNRG25 count=count-1 *v #/Y9} End If ]W9B6G_ count=count+1 ]A:( L9 Wend Pern*x9$ o'UHStk 'Set new shift in `bP?o op.Type = "ShiftZ" C|e+0aW op.val1 = taq |XcH]7Ai" op.parent = parID SPwPCI1?
AddOperation eID, op W,N L*($^ Print "Set aqueous humor thickness = " & taq-0.55 Gt^d;7x] QUP|FIpZ '************************************************************************* %!W%#U0 'Radius and conic constant of anterior lens \|+/0USn '************************************************************************* M<oA<#IW eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) h[U7!aM GetConic eID, entity, curv, conic #( uj$[o '
iQ9hQjD SetConic eID, entity, 1/Rant, CCant nm):SEkC Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9O >z4o sJ6a7A8) '************************************************************************* k,_i#9X 'Radius and conic constant of posterior lens
GXeAe}T '************************************************************************* 8R/
*6S=& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +i)AS0?d GetConic eID, entity, curv, conic {8m1dEC^@Q 8eX8IR!K9 SetConic eID, entity, 1/Rpost, CCpost e[4V%h Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost %cj58zO|y QMb^&?;s '************************************************************************* nEVbfNo0 'Lens thickness (Position of posterior lens surface) 5;
f\0<- '************************************************************************* )F
E8D [$:@X V( parID = FindFullName( "Geometry.Arizona Eye.Lens" ) H-a^BZ&iU Xiju"Cup" ' Delete any z-shift(s)
SsRVd^=;x count = 0 ay[ZsQC While GetOperationCount(eID)>count PW^ 8;[\QP GetOperation eID, count, op 5B|,S1b If op.Type="ShiftZ" Then EIK*49b2 DeleteOperation eID,count xMsGs count=count-1 G+C}<S} End If Q?]w{f( count=count+1 $3:X+X Wend Bm<^rhJ9 |8'B/
p= 'Set new z-shift ~,Mr0 op.Type = "ShiftZ" 8r^j P.V op.val1 = tlens f!!P op.parent = parID |D(&w+( AddOperation eID, op "OJr*B Print "Set lens thickness = " & tlens `vX4!@Tw cuMc*i$w! '************************************************************************* 4tnjXP8 'Lens index of refraction :p$EiR '************************************************************************* WVkG2 eID = FindMaterial( "Lens" ) &%:*\_2s GetModelMaterial eID, mat -fQX4'3R 3.~h6r5- mat.Nd = nlens x
Ty7lfSe SetModelMaterial eID, mat N1s.3` Print "Set lens index of refraction = " & nlens #'iPDRYy c.-cpFk^L& '************************************************************************* `$f2eB& 'Pupil diameter iP,v=pS6 '************************************************************************* 4JSZ0:O eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) &/DOO ^ ooDdV
> 'Adjust pupil diameter (trimming volume inner hole) 8.-S$^hj~6 &58 { SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" rFO_fIJno ;,v.(Z ic ' Adjust pupil location to just in front of the lens QSv^l-< parID = FindFullName( "Geometry.Arizona Eye" ) H}a)^90_ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *@~`d*d count = 0 p4y6R4kyT While GetOperationCount(eID)>count >F~ITk5`Oo GetOperation eID, count, op sU0Stg8&b If op.Type="ShiftZ" Then Vp\80D& DeleteOperation eID,count 3Cd<p[%3#, count=count-1 q>P[n z% End If ^+URv count=count+1 unJiE! Wend =!YP$hf Y op.Type = "ShiftZ" bu_/R~&3{ op.val1 = taq-0.01 nrF!;:x op.parent = parID )FV6, AddOperation eID, op Dl&PL [~!.a\[RW Print "Set pupil diameter = " & pupilDiam 7^&lbzVbm( S;>4i!Mb
^ 'Update AZ Eye subassembly Description @OY1`EuO eID = FindFullName( "Geometry.Arizona Eye" ) ['?^>jfr GetEntity eID, entity (;C$gnr.C entity.Description = "Accommodation = " & A & "D" gu^_iU SetEntity eID, entity |$Qp0vOA} f!mE1,eBEe Update U{HyxZ|q< Print "DONE!" :&qC <UD 5"$e=y/ End Sub $]nVr(OZ_ QN3qF|)) 如果屈光度是4,光瞳直径是4,则会输出如下数据: bG"6pU Tw}@+- Accommodation = 4 Diopters :a=ro2NH Pupil Diameter = 4 mm ?<Z)*CF) Set aqueous humor thickness = 2.81 vwm|I7/w Set anterior lens radius = 10.4 and conic constant = -2.375869 5Ws5X_?d Set posterior lens radius = -4.424557 and conic constant = -3.081019 8I<_w4fC Set lens thickness = 3.927 =jsx(3V Set lens index of refraction = 1.42672 Av@&hD\ Set pupil diameter = 4 tN[St DONE! yB
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