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简介 c.eUlr_{ Jmml2?V-c 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。 Errs6 -FGM>~x 模型 hqW),^\>' /_D_W,#P 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。 'o]kOp@q Iy#=Nq= Table 1. AZ眼睛模型的定义 {bP
)Fon 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. sJ{J@/5 ]pq(Q:"P,5 光源 /iw$\F |8 VxAG=E 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 4G3u8)b= HPc~wX [aF"5G 图1. 光源和提示信息使用 =fcM2O#$ 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。 ''?iJFR Qv}TUX4 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。 ;u*I#)7 \&MJ(F>vJ 图2. 字母F光源的设定方法光
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E;rS"'D: 图3. 字母F在视网膜上位置点列图 X#<+D1P 视网膜的散射 ^e{]WH? ' +f(9/ 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。 "8iIOeY-\ _lBHZJ+ "DC L
Z 图4. 视网膜朗伯散射设定 M3VTzwuf^S 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。 <%N*IE"q @gnLY hYbaVE 图5. 视网膜重点采样规格设定 !Bv.@~ 脚本 <)a7Nrc\T ^O
QeOTF 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: T"/dn%21 G Ml JM 图6. 用户对话框的创建与编辑 iyv5\ 图7. 用户对话框编辑器 Gzc`5n{" 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。 %z6_ ,|% 余下的脚本计算与屈光度有关的所有参数。 <8ih >s(C ENy$sS6[D 分析 vcC" DEW;0ic 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 F<4>g+Ag Zd}12HFq 图7. 字母F在视网膜上颜色分析 NXMZTZpB7 脚本代码 u&Yd+'); .#}A/V.-Y Option Explicit 'Remove this to enable non-dimensioned variables to be used. '<U4D ! NJGW Dim entity As T_ENTITY *G8Z[ht%r Dim op As T_OPERATION &S39SV Dim mat As T_MODELMATERIAL /5X_gjOL, Dim A As Double ~t<uX "K Dim pupilDiam As Double VA@ Dim eID As Long Vy6~O|68= Dim parID As Long sD$K<nyz Dim count As Integer x^Zm:Jrw~ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double D67z6jep( Dim tlens As Double, nlens As Double L;=3n[^x Dim curv As Double, conic As Double ?-'GbOr! Dim ok As Long nG%<n `SA1V),~ Sub Main _:>t$*
_ 7AF6aog '用户输入对话框 deEc;IAo Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \A6}= TextBox 220,21,40,21,.TextBox1 'default: 0 !p Q*m`Xo Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ,0eXg OKButton 40,91,90,21 kDG?/j90D CancelButton 190,91,90,21 VAp 1{ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 uANpqT}! TextBox 220,49,40,21,.TextBox2 'default: 4 T^ - - :1 End Dialog ^iWJqpLe Dim dlg As UserDialog }L
@~!=q* 6,!$S2(zT ok = Dialog (dlg) U,8mYv2| /m4Y87 If ok=0 Then 'cancel button was pressed Rm}G4Pq Print "Execution cancelled." yZ)-=H End @O|`r(le End If o(C;;C(*{ Z4g<Ys* 'Assign accommodation and pupil diameter & use defaults if field left empty @ V_i%=go If dlg.TextBox1 = "" Then o7^0Lo5Z? A = 0 'Default accommodation lQv(5hIm Else bAld'z# A = CDbl(dlg.TextBox1) j
Y(|z*| End If 7=s7dYlu 8@
f+?g*i If dlg.TextBox2 = "" Then -XnOj2 pupilDiam = 4 'Default pupil diameter nUK;M[ Else %~M#3Ywa pupilDiam = CDbl(dlg.TextBox2) 'wWuR@e#& End If ^a$L9p( :m36{# Print " " `NNP}O2 Print "Accommodation = " & A & " Diopters" %r&36d' Print "Pupil Diameter = " & pupilDiam & " mm" 2cwJ);Eg2 Ya-GDB;L ' Calculate new parameters with accommodation Qjd]BX; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness "bz.nE* "N)InPR- Rant = 12.0 - 0.4*A 'Radius of anterior lens -C8LM ls CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens )@<HG$# 0<##8m@F8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens m}f{o CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens T-]UAN"O ge1U1o tlens = 3.767 + 0.04*A 'Lens thickness 6R*eJICN +:W? :\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction p.H`lbVY ,!X:wY}dW 'Adjust parameters to account for accommodation o6:@j#b i^8w0H<-@v '************************************************************************* ..w$p-1 'Aqueous thickness (Position of Lens) TmK8z '************************************************************************* Gyrc~m[$ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) MHGaf`7ro GetCustomElement eID, entity w ~^{V4V c=^69>w parID = FindFullName( "Geometry.Arizona Eye" ) %cJdVDW`L ,1]VY/ ' Delete any shift(s) in z )|#ExyRO count = 0 O-box? While GetOperationCount(eID)>count ,@I\'os GetOperation eID, count, op MZqHL4<| If op.Type="ShiftZ" Then J%
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V DeleteOperation eID,count >U?#'e{qW count=count-1 +{}p(9w@ End If Sy<io@df count=count+1 er2;1TW3E Wend b<[]z, ,b?G]WQrHs 'Set new shift in tK
`A_hC op.Type = "ShiftZ" ~#)9Kl7<X op.val1 = taq 9$}>O] op.parent = parID b@sq}8YD|z AddOperation eID, op Do5{t'm3 Print "Set aqueous humor thickness = " & taq-0.55 .y0u"@iF @}uo:b:Q '************************************************************************* qk>M~, 'Radius and conic constant of anterior lens c(Fo-4K '************************************************************************* ]\]mwvLT eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) P7REE_<1 GetConic eID, entity, curv, conic &B++ "f [?(qhp! SetConic eID, entity, 1/Rant, CCant j 20mZ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant *Wcq'S
bjN"H`Q '************************************************************************* )Y"t$Iw" 'Radius and conic constant of posterior lens )i\foSbB`V '************************************************************************* +ZV?yR2yn eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) )bpdj, GetConic eID, entity, curv, conic J7~Kjl tf1Y5P$ SetConic eID, entity, 1/Rpost, CCpost {UF|-VaG Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost =#wE*6T9 AJ6O>Euq '************************************************************************* @V+KL>Qw 'Lens thickness (Position of posterior lens surface) ;<%d^ '************************************************************************* 84s:cO 2uMSeSx$ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) &ha<pj~ W9bpKmc ' Delete any z-shift(s) jO`L:D/C count = 0 E~8J<gE While GetOperationCount(eID)>count KqNsCT+j GetOperation eID, count, op gEq6[G If op.Type="ShiftZ" Then @[n%q.|VB DeleteOperation eID,count D2io3Lo$ov count=count-1 B74]hgK End If ?3i<^@? count=count+1 1 -R4A7+3 Wend RhE|0N= g%D.sc)69 'Set new z-shift APU~y5vG ( op.Type = "ShiftZ" -cUw} op.val1 = tlens "\M3||.! op.parent = parID =S\pI AddOperation eID, op Hq,NOP Print "Set lens thickness = " & tlens 'o7V6KG NI C.c3 '************************************************************************* %*Yb
J_j7 'Lens index of refraction 0_t9;;y : '************************************************************************* mk6>}z* eID = FindMaterial( "Lens" ) u0$}VO5/a GetModelMaterial eID, mat *O-m:M!eA (&/~q:a> mat.Nd = nlens v,US4C|^3i SetModelMaterial eID, mat 0iz\<'
p Print "Set lens index of refraction = " & nlens G@<[fO|Iam EclsOBg '************************************************************************* pz.fZV 'Pupil diameter $tK/3 '************************************************************************* %B| Ca& eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) YCyh+%Q( VxU{ZD~<Z" 'Adjust pupil diameter (trimming volume inner hole) VZ2CWE)t @X_)%Y-^O SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" `<%
w4E ,LL=b-Es ' Adjust pupil location to just in front of the lens jW}hLjlN parID = FindFullName( "Geometry.Arizona Eye" ) F5\{` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) -?ebkHe count = 0 6{ pg^K While GetOperationCount(eID)>count Pa ^_s GetOperation eID, count, op t\\<+^[% If op.Type="ShiftZ" Then IN"6=2: DeleteOperation eID,count rwAycW7 count=count-1 ?nf4K/IjZ! End If %O>_$
4q count=count+1 )N&95\u Wend m .^WSy op.Type = "ShiftZ" .?r}3Ch op.val1 = taq-0.01 B>
zQ[e@t op.parent = parID u/5)Yx+5_ AddOperation eID, op PxJvE*6^H }]j#C Print "Set pupil diameter = " & pupilDiam *,wW-8 '8|joj>G= 'Update AZ Eye subassembly Description CW~c<," eID = FindFullName( "Geometry.Arizona Eye" ) 0Rh*SoYrC GetEntity eID, entity &GI'-i entity.Description = "Accommodation = " & A & "D" .kDJuJ^ SetEntity eID, entity 1xsB@D !:1BuiL Update IZZ
$p{ Print "DONE!" gE6{R+sp #LG<o3An End Sub szy2"~hm OC`Mzf%. 如果屈光度是4,光瞳直径是4,则会输出如下数据: KocNJ
TB N\zUQ
J Accommodation = 4 Diopters Kj|\ALI': Pupil Diameter = 4 mm >7QC>ws% Set aqueous humor thickness = 2.81 DXfQy6k' Set anterior lens radius = 10.4 and conic constant = -2.375869 7:OF>** Set posterior lens radius = -4.424557 and conic constant = -3.081019 [<#`@Kr Set lens thickness = 3.927 l/bZE.GJ Set lens index of refraction = 1.42672 BNbz{tbX" Set pupil diameter = 4 0JLQ.%_ DONE! *BQy$dfE Q_|Lv& u:\DqdlU` QQ:2987619807 *GM.2``e
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