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简介 z>4D~HX cyW;,uT)D 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。 \,>_c ^9&b+u=X 模型 p/r~n'g$ -#hK|1] 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。 `5~7IPl3 {IJ-4> Table 1. AZ眼睛模型的定义 tf4*R_6;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. n
vm^k xT W3UY 光源 +0VG[c\8 t,RyeS/ 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。 Tdg6kkJ E@:Q 'g% S[vRw]* 图1. 光源和提示信息使用 >G]? 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。 ]Z_$'?f @gNpJB]V 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 /:U1!9.y _3|6ZO 图2. 字母F光源的设定方法光 8KFj<N>' '<TD6jBs 图3. 字母F在视网膜上位置点列图 7'Lp8 视网膜的散射 l1&5uwuF UmJUt| 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 NdZ)[f:2 <nBo}0O} .>P~uZiX! 图4. 视网膜朗伯散射设定 *xPB<v2N:P 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 B$ui:R/ t ?4,@,
ae& dgXg kB' 图5. 视网膜重点采样规格设定 _ j~4+H 脚本 $57\u/(
3c b[RQf 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: 0{Bf9cH ~P/]:= 图6. 用户对话框的创建与编辑 `4LJ;KC( 图7. 用户对话框编辑器 P@C
c]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。 ,(P %z.P@ 余下的脚本计算与屈光度有关的所有参数。 "=qv#mZ#9 o5P&JBX< 分析 q-YL]PgV I:F
<vE 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 >5.zk1&H M+0x;53nz 图7. 字母F在视网膜上颜色分析 $.a|ae|K 脚本代码 !
tGiTzzp n'yl)HA~>` Option Explicit 'Remove this to enable non-dimensioned variables to be used. yxvjg\!& k{a)gFH
O Dim entity As T_ENTITY ilv _D~|
Dim op As T_OPERATION 'j }g Dim mat As T_MODELMATERIAL G]-%AO{K Dim A As Double MI\]IQU Dim pupilDiam As Double `gI~|A4 Dim eID As Long 9\AS@SH{^T Dim parID As Long (xL
:; Dim count As Integer iT.|vr1HG Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double \n_3Bwd~ Dim tlens As Double, nlens As Double jB!W2~Z Dim curv As Double, conic As Double EL7T'zJ$ Dim ok As Long x6ahZ 12lEs3 Sub Main 3p_b8K_bG ^!}F% '用户输入对话框 yX'IZk#_L Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Z(HZB TextBox 220,21,40,21,.TextBox1 'default: 0 q!&B6] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 V9T
4+ OKButton 40,91,90,21 Fj^AWv^/ CancelButton 190,91,90,21 gLD{1-v Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Ff<)4`J TextBox 220,49,40,21,.TextBox2 'default: 4 "y$ qrN- End Dialog MqdB\OW& Dim dlg As UserDialog xl8#=qmCD J)*8|E9P ok = Dialog (dlg) 1"O&40l b@6:1x If ok=0 Then 'cancel button was pressed Xhse~=qA Print "Execution cancelled." >jMH#TZaX End ]RD5Ex!K? End If (@q3^)I4 >S'>!w 'Assign accommodation and pupil diameter & use defaults if field left empty 4.Z(:g If dlg.TextBox1 = "" Then ~KRnr0 A = 0 'Default accommodation #ZlM?Q Else :tLbFW[ A = CDbl(dlg.TextBox1) X`1p'JD End If o,FUfO}F gI{ =0 If dlg.TextBox2 = "" Then M"(6&M=? pupilDiam = 4 'Default pupil diameter o?wt$j- Else B\[-fq pupilDiam = CDbl(dlg.TextBox2) 5
`=KyHi:b End If EkZjO Ci fhRjYYGI Print " " 3ji:O T Print "Accommodation = " & A & " Diopters" x:
~d@ Print "Pupil Diameter = " & pupilDiam & " mm" H&bh<KPMh o/1JO_41 ' Calculate new parameters with accommodation h0Jl_f#Y taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness a#y{pT2 b g$w6kz_[ Rant = 12.0 - 0.4*A 'Radius of anterior lens X NE+(Bt CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens E>}q2 QNArZ6UQ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 1lcnRHO CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens kA^A mfba *1bzg/T< tlens = 3.767 + 0.04*A 'Lens thickness ug#<LO-.Rd $.:3$et@/ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction cPuHLwwYf HO5d%85 'Adjust parameters to account for accommodation yM ,VrUh 6Z8l8:r-6 '************************************************************************* FT.@1/ ) 'Aqueous thickness (Position of Lens) Pp*}R2 '************************************************************************* M#a&\cqC eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yX!#a>d"H GetCustomElement eID, entity ezZph"& &{W^W8,% parID = FindFullName( "Geometry.Arizona Eye" ) rk,p!}FqL 9":2"<'+ ' Delete any shift(s) in z O2 v. count = 0 h|p[OecG While GetOperationCount(eID)>count FkB{ SCJ GetOperation eID, count, op GwQn;gkF If op.Type="ShiftZ" Then GMm'of# DeleteOperation eID,count dJl^ADX[@ count=count-1 gs`> C( End If *]x_,:R6Ow count=count+1 }q'WC4. Wend f&yQhe6 q Km*<Kfcz 'Set new shift in ?/d!R]3 op.Type = "ShiftZ" D1Yh,P<CF\ op.val1 = taq N E=
w6 op.parent = parID 'msmXX@q AddOperation eID, op lLCdmxbT Print "Set aqueous humor thickness = " & taq-0.55 `o
si"o9 J#7y<
s '************************************************************************* ~ E *d G 'Radius and conic constant of anterior lens &p"(- '************************************************************************* I7mG/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) xo
WT*f GetConic eID, entity, curv, conic (F8AL6 *IZf^-=Q SetConic eID, entity, 1/Rant, CCant NHkL24ve Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant XnXb&@Y uA\J0"0;} '************************************************************************* Y8ehmz|g]J 'Radius and conic constant of posterior lens p4>,Fwy2 '************************************************************************* #J$qa Ul eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) AyTx' u GetConic eID, entity, curv, conic (~()RkT l2&hBacT SetConic eID, entity, 1/Rpost, CCpost \FifzKA Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Jps .;yjk }.{}A(^YR '************************************************************************* :'*DMW~ 'Lens thickness (Position of posterior lens surface) Np)aS[9W '************************************************************************* Coa -8j*R7 @G GccF parID = FindFullName( "Geometry.Arizona Eye.Lens" ) l`gTU?<xd 5I,$EGG ' Delete any z-shift(s) ;[6&0!N\ count = 0 vv/J 5#^,\ While GetOperationCount(eID)>count ^l !L)iw GetOperation eID, count, op \0AiCMX[ If op.Type="ShiftZ" Then P(h5=0`*PR DeleteOperation eID,count G|9B)`S count=count-1 a$}mWPp+f End If _P5P(^/ count=count+1 2k1aX~? Wend FA$zZs10\ !R:y'Y%j 'Set new z-shift tWD|qg_ op.Type = "ShiftZ" g%\L&}Jd op.val1 = tlens #Lka+l;L7 op.parent = parID yFM>T\@ AddOperation eID, op km\%BD~ Print "Set lens thickness = " & tlens G6O/(8 #":a6%0Q '************************************************************************* [Ox(. 'Lens index of refraction K.DXJ UR '************************************************************************* 77We;a eID = FindMaterial( "Lens" ) -M61Mw1 GetModelMaterial eID, mat s AE9<(g&@ D1X{:#| mat.Nd = nlens 3] 76fF\^[ SetModelMaterial eID, mat H(qm>h$bU Print "Set lens index of refraction = " & nlens <qY5SV, QN
G& '************************************************************************* 6Rz[?-mkLO 'Pupil diameter e4.&aIC[ '************************************************************************* ;$!I&<) eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) JTUNb'#RZ y1,5$0@G 'Adjust pupil diameter (trimming volume inner hole) QIA R eXzXd*$S SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;KcFy@ 6q5 8(A{;9^g ' Adjust pupil location to just in front of the lens rn" pKUd parID = FindFullName( "Geometry.Arizona Eye" ) o'Y#H
r)/ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) v0 ];W| count = 0 a[C&e,)} While GetOperationCount(eID)>count J{~Rxa GetOperation eID, count, op r_2btpL^ If op.Type="ShiftZ" Then -g~~] K% DeleteOperation eID,count 6P+DnS[] count=count-1 `&g:d E(j End If A3s57.Z]| count=count+1 l)8sw= Wend gaeOgP.0 op.Type = "ShiftZ" -e*BqH2t op.val1 = taq-0.01 Yx1 D) op.parent = parID g42T#p8^ AddOperation eID, op _4R,Ej} zilaP)5x6 Print "Set pupil diameter = " & pupilDiam ~3=2=Uf v~5<:0dL 'Update AZ Eye subassembly Description yXF|Sqv eID = FindFullName( "Geometry.Arizona Eye" ) p\S8oHWe GetEntity eID, entity 0Hcbkep9D entity.Description = "Accommodation = " & A & "D" <]Y[XI(kr SetEntity eID, entity KXe
ka Gah lS*W Update k18$JyaG Print "DONE!" 'F5)ACA% @ER1zKK? End Sub Jz$>k$!UD RWikJ 如果屈光度是4,光瞳直径是4,则会输出如下数据:
Ae3,^ 263*: Y Accommodation = 4 Diopters ]u=Ca#!' Pupil Diameter = 4 mm dS$ji#+d$ Set aqueous humor thickness = 2.81 ./.=Rw Set anterior lens radius = 10.4 and conic constant = -2.375869 3; y_mg Set posterior lens radius = -4.424557 and conic constant = -3.081019
g1qi\axm Set lens thickness = 3.927 Dh`=ydI5 Set lens index of refraction = 1.42672 xF8 :^' Set pupil diameter = 4 *V|zx#RN DONE! BXA]9eK
1+^n!$ Jpx'W QQ:2987619807 ^s*\Qw{Ii
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