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简介 SbZt\a 8 :OCuxSc%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。 d|]O<]CG_ n*Vd<m;w 模型 N;'HR) /y)"j#-eW 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。 Y/H^*1 6#M0AG Table 1. AZ眼睛模型的定义 %i8>w:@NW 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. P]"deB| `{F~'t[' 光源 d&uTiH? 0 AwUc{h l< 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。 ^,lZ58
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4|N\Q=, 图1. 光源和提示信息使用 ]M;6o@hq 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。 1~DD9z hF"g91P 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。 *Ca)RgM =`~Z@IbdI 图2. 字母F光源的设定方法光 mSzpRa _i[)$EgFm 图3. 字母F在视网膜上位置点列图 GWhAjL/N 视网膜的散射 <{420 *3O >J" 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 tRnW%F5 pXh~#o6V ]<T8ZA_Y; 图4. 视网膜朗伯散射设定 fu<2t$Cn> 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。 ?[VpN2* V.ji
_vX !?o$-+a| 图5. 视网膜重点采样规格设定 kt{C7qpD 脚本 _/}Hqh rEyz|k: 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: 6_<s=nTX 1N9<d, 图6. 用户对话框的创建与编辑 rN1U.FRe/ 图7. 用户对话框编辑器 ydND$@; Z 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。 ]}[Yf 余下的脚本计算与屈光度有关的所有参数。
xs'kO= <*"pra{3 分析 nS+FX&_ 'B (eMnLg 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 /.)[9bQ< Sf&?3a+f 图7. 字母F在视网膜上颜色分析 hyb +#R 脚本代码 tB7K&ssi /Pn.)Lxfl Option Explicit 'Remove this to enable non-dimensioned variables to be used. )p<fL <s/<b*T
^ Dim entity As T_ENTITY px|>v8 Dim op As T_OPERATION !ml_S) Dim mat As T_MODELMATERIAL /*AJr Dim A As Double Nxb\[ Dim pupilDiam As Double px_s@>l` Dim eID As Long W&e'3gk _ Dim parID As Long z0 2}&^Zzk Dim count As Integer 4e@&QOo`Cu Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double .vN%UNu Dim tlens As Double, nlens As Double 6!+X.+ Dim curv As Double, conic As Double [Iw>|q<e Dim ok As Long @1v3-n= x^)g'16` Sub Main 0AK?{y U ,$h(fM8GC '用户输入对话框 1Sg|3T8bGT Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 N )zPxQ TextBox 220,21,40,21,.TextBox1 'default: 0 v._Egk0 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 K[uY+!'1 OKButton 40,91,90,21 gT(th9'+z CancelButton 190,91,90,21 -J"qrpZ^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "Su
b4F` TextBox 220,49,40,21,.TextBox2 'default: 4 &_9YLXtMi; End Dialog t/KcXM Dim dlg As UserDialog -c+[6A>j "H>r-cyh ok = Dialog (dlg) <rX\LwR ]6{(Hjt If ok=0 Then 'cancel button was pressed =`qRu Print "Execution cancelled." nTys4R End P>*Fj4Z~ End If ]By0Xifew i}PK$sa#c 'Assign accommodation and pupil diameter & use defaults if field left empty *wC\w If dlg.TextBox1 = "" Then =U4f}W; A = 0 'Default accommodation /Jxq
3D)v Else onnI ! A = CDbl(dlg.TextBox1) @[MO,J&h End If *.,"N} x37/cu If dlg.TextBox2 = "" Then 7hB#x]oQo pupilDiam = 4 'Default pupil diameter j)jCu ;` Else |7 &|> pupilDiam = CDbl(dlg.TextBox2) #^|| ]g/N End If Mv.Ciyc )|y#OZHR Print " " CifA,[l34 Print "Accommodation = " & A & " Diopters" 2E^"r jLm Print "Pupil Diameter = " & pupilDiam & " mm" fL!V$]HNt EjWgaV ' Calculate new parameters with accommodation zlH28V taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness tNK^z7Dm "\}b!gl$8 Rant = 12.0 - 0.4*A 'Radius of anterior lens ~Fy`>* CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ~?#~ Ar OmB
TA=E< Rpost = -5.224557 + 0.2*A 'Radius of posterior lens tY/En-&t CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens w{PUj B!eK!B tlens = 3.767 + 0.04*A 'Lens thickness Bk,2WtVX O!;H}{[dg nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction jcE Msc vR7ct av 'Adjust parameters to account for accommodation SOVjEo4'3 ~gP7s_qr{ '************************************************************************* R]Hz8 _X 'Aqueous thickness (Position of Lens) YWEYHr;%^? '************************************************************************* H#OYw#L"u eID = FindFullName( "Geometry.Arizona Eye.Lens" ) J*5hf: ?i GetCustomElement eID, entity a$d:_,\" <mL%P`Jj
parID = FindFullName( "Geometry.Arizona Eye" ) j(j#0dXLh %NNj9Bl<VV ' Delete any shift(s) in z jh[
#p?: count = 0 -$.0Dc)3! While GetOperationCount(eID)>count TN5>" ??" GetOperation eID, count, op Hb+X}7c$ If op.Type="ShiftZ" Then u t$c)_ DeleteOperation eID,count e,(a6X count=count-1 ymYBm:" End If @Tm`d ?^ count=count+1 _6ZzuVv3/ Wend jgG$'|s} GMl"{Oxo& 'Set new shift in 7'z(~3D op.Type = "ShiftZ" E, GN| l op.val1 = taq ?ty>}.c t op.parent = parID P$_&
AddOperation eID, op ~(P&g7u Print "Set aqueous humor thickness = " & taq-0.55 LT/mb2 )>V?+L5M '************************************************************************* {Ur7#h5 'Radius and conic constant of anterior lens 6hO-H&r++ '************************************************************************* xYPxg! eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :5J_5,?;` GetConic eID, entity, curv, conic eIH$"f;L vwmBUix SetConic eID, entity, 1/Rant, CCant $E\^v^LW Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 802H$P^ps onwjn+"& '************************************************************************* L_~8"I_ 'Radius and conic constant of posterior lens M diwRi '************************************************************************* 5X#E@3g5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -jB3L: GetConic eID, entity, curv, conic ^ *0'\/N& yrnv!moc%t SetConic eID, entity, 1/Rpost, CCpost @ &pqt6/t Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost BgM%+b8u +>SRrIi '************************************************************************* H]&gW/= 'Lens thickness (Position of posterior lens surface) zyFUl% '************************************************************************* y \D=Z
N@ DN_W.o parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?{6s58Q{ %Ds+GM- ' Delete any z-shift(s) 5!(?m~jJ count = 0 Wpr
,jN8b While GetOperationCount(eID)>count d$G}iJ8$mp GetOperation eID, count, op ?2 f_aY ; If op.Type="ShiftZ" Then 0J9D"3T) DeleteOperation eID,count T7[NcZ:I count=count-1 bWmw3w End If #$E)b:xj count=count+1 2: SO_O4C Wend PX2c[CDE^ uOd&XW 'Set new z-shift l$XPIC~H op.Type = "ShiftZ" [%pRfjM op.val1 = tlens ,6{iT,~@8 op.parent = parID <CZgQ\Mt AddOperation eID, op sI LSey5` Print "Set lens thickness = " & tlens __Nv0Ru `XKVr '************************************************************************* p*20-!{A 'Lens index of refraction j.%K_h?V5 '************************************************************************* %%JMb=!%2 eID = FindMaterial( "Lens" ) xr%#dVk GetModelMaterial eID, mat n}?wVfEy q%i-`S]}qL mat.Nd = nlens G8J*Wnwu[K SetModelMaterial eID, mat Pw[g Print "Set lens index of refraction = " & nlens Nd@~>&F ,|h)bg7. '************************************************************************* oM1Qh? 'Pupil diameter NxA)@9Q '************************************************************************* Iz@)!3h eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) mJ}opy!{; >V$ Gx>I 'Adjust pupil diameter (trimming volume inner hole) VIJ<``9[ Wl-<HR!n SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [p;E~-S y[?-@7i ' Adjust pupil location to just in front of the lens SF[FmN!^^ parID = FindFullName( "Geometry.Arizona Eye" ) )]htm&q5 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) n, i'Dhzk count = 0 .@ F]Pht While GetOperationCount(eID)>count 3W_PE+:Kr GetOperation eID, count, op Qf $|_&| If op.Type="ShiftZ" Then &--ej|n DeleteOperation eID,count -E4XIn count=count-1 Y>+y(ck End If jMNU ?m: count=count+1 DA&?e~L&H Wend XB59Vm0E= op.Type = "ShiftZ" w= P9FxB op.val1 = taq-0.01 "vZ!vt#'Y op.parent = parID $~;D9 AddOperation eID, op *%/~mSx ^Yj xeNY Print "Set pupil diameter = " & pupilDiam \QE)m<GUe k%]=!5F 'Update AZ Eye subassembly Description 26vp1 eID = FindFullName( "Geometry.Arizona Eye" ) .iX# A<E} GetEntity eID, entity }a
AH entity.Description = "Accommodation = " & A & "D" d5 7i)= SetEntity eID, entity A][fLlpr e[_m<e Update MY#
Print "DONE!" $-}e; V Zb c(;a=n(E# End Sub b` Hz$8 G6@M&u5RT 如果屈光度是4,光瞳直径是4,则会输出如下数据: l>*"mh OyV<u@[i Accommodation = 4 Diopters kHw_ S- Pupil Diameter = 4 mm R218(8S Set aqueous humor thickness = 2.81 'R`tLN Set anterior lens radius = 10.4 and conic constant = -2.375869 w@JKl5 Set posterior lens radius = -4.424557 and conic constant = -3.081019 4lhw3,5 Set lens thickness = 3.927 evkH05+;W Set lens index of refraction = 1.42672 M])dJ9&e Set pupil diameter = 4 )9l^O
DONE! 6`vC1PK^ EI!6MC) AdRX`[ik QQ:2987619807 N_:qRpp6i
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