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简介 V&J'2Lq #7p!xf^ 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。 L=V.@? aQglA 模型 9
f=~E8P &r1]A& 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。 !p{CsR8c ,d$D0w Table 1. AZ眼睛模型的定义 Pd;G c@'~ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. K aNO&%qX aBWA hn 光源 w7b\?]}@ KLgg([ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 [Lq9lw&
eR:C?v EjP9/VG@= 图1. 光源和提示信息使用 !AN; 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 0n*D](/NK I9*BTT] 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 /-Z}= U[W &D%' 图2. 字母F光源的设定方法光 J7+[+Y w[OUGn' 图3. 字母F在视网膜上位置点列图 KRb'kW 视网膜的散射 2&XNT-Qm L"}tJM.d 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 5Kw?# ry0YS\W <"{VVyK 图4. 视网膜朗伯散射设定 .Ky)Co 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 "w3%BbI x 1H \ 8yk4#CZ 图5. 视网膜重点采样规格设定 o2!wz8 脚本 a]
7nK+N @;}vK=6L 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: P~s u]+ bD.KD)5 图6. 用户对话框的创建与编辑 HJJ;gTj 图7. 用户对话框编辑器 2@Oz _?O= 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 *auT_* 余下的脚本计算与屈光度有关的所有参数。 jc HyRR1R &cwN&XBY 分析 KkCsQ~po gFl@A} 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 "EwzuM8f /h8100 图7. 字母F在视网膜上颜色分析 c2-oFLNP= 脚本代码 R]3j6\ hR~&}sxN Option Explicit 'Remove this to enable non-dimensioned variables to be used. l2ie\4dK@ '3?-o|v@D Dim entity As T_ENTITY )YW"Zo8~!1 Dim op As T_OPERATION a[p$e?gka Dim mat As T_MODELMATERIAL e8S4=W Dim A As Double %<fs \J^k Dim pupilDiam As Double -F_cBu81V Dim eID As Long C-XJe~ Dim parID As Long {.ypZ8JU Dim count As Integer m|3Q' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Z<,Hz+ Dim tlens As Double, nlens As Double aJ}hlM> Dim curv As Double, conic As Double _|T{2LvwT Dim ok As Long |K9*><P?)2 2_}oOt?qiM Sub Main FC
WF$'cO A]ZQ?-L/ '用户输入对话框 Gn<0Fy2 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 'KDt%?24 TextBox 220,21,40,21,.TextBox1 'default: 0 'x5p ?m Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 7M8 cF>o OKButton 40,91,90,21 -[}Aka,f! CancelButton 190,91,90,21 q3C Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 "Mz#1Laby` TextBox 220,49,40,21,.TextBox2 'default: 4 &hrMpD6z6i End Dialog W]XM<# ^^ Dim dlg As UserDialog >@Pw{Zh$ _>ZC;+c? ok = Dialog (dlg) q" EW*k+
) :zY;eJK m If ok=0 Then 'cancel button was pressed LH.Gf Print "Execution cancelled." a,(nf1@5 End P^!g0K End If T?RN} @D \iaZV.#f 'Assign accommodation and pupil diameter & use defaults if field left empty (H"{r If dlg.TextBox1 = "" Then 4>OS2b`.; A = 0 'Default accommodation fefy`J Else B!&y>Z^$ A = CDbl(dlg.TextBox1) &xA>(|a\&- End If L9XfR$7,z g
rCQ#3K*? If dlg.TextBox2 = "" Then rIb~@cR) pupilDiam = 4 'Default pupil diameter @,7r<6E Else $2+s3) pupilDiam = CDbl(dlg.TextBox2) &*Xrh7K2e End If E0/>E Ghc
U~ Print " " K^o{lyK;@~ Print "Accommodation = " & A & " Diopters" \o=9WKc Print "Pupil Diameter = " & pupilDiam & " mm" T+aNX/c|> ` &bF@$(( ' Calculate new parameters with accommodation d3
i(UN] taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness yf!7
Q>_G^ > ;#Y0 Rant = 12.0 - 0.4*A 'Radius of anterior lens W -HOl!) CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens _|W&tB* t- TUP>_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens K C"&3 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens K F_Uu &@'%0s9g tlens = 3.767 + 0.04*A 'Lens thickness ij#v_~g3 ,X1M!' nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction U;TS7A3 kZo#Ny 'Adjust parameters to account for accommodation w=<E) UJQTArf '************************************************************************* d}tmZ*q 'Aqueous thickness (Position of Lens) 6"Lyv '************************************************************************* mtkZF{3Jx eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~k-' GetCustomElement eID, entity \!30t1EZ G6qZ>-GiL parID = FindFullName( "Geometry.Arizona Eye" ) D\+x/r?-I '
`c \Dq ' Delete any shift(s) in z G_5{5Ar count = 0 maHz3: While GetOperationCount(eID)>count B~k{f} GetOperation eID, count, op Mpyza%zj If op.Type="ShiftZ" Then gK;dfrU.8Y DeleteOperation eID,count r7>FH!=: count=count-1 7Ok-T10 End If -?:8sv*X count=count+1 AzF*4x Wend /3k[3 V6](_w! 'Set new shift in N\&VJc op.Type = "ShiftZ" lhJY]tQt/ op.val1 = taq ;di.U, op.parent = parID
F):kF_ho AddOperation eID, op Gey-8 Print "Set aqueous humor thickness = " & taq-0.55 H.]V-|U
BeQ'\#q, '************************************************************************* l3BN,HNv+ 'Radius and conic constant of anterior lens 88X]Uw(+ '************************************************************************* VyNF)$'T eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) &&52ji<3 GetConic eID, entity, curv, conic 9S17Lr*c UMBeY[? SetConic eID, entity, 1/Rant, CCant x1`(Z|RJ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9<y{:{i K$D+TI) '************************************************************************* Lg,ObVt! 'Radius and conic constant of posterior lens eN|zD?ba& '************************************************************************* Z L0k eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) mt0v ( GetConic eID, entity, curv, conic E&z^E2 zVtTv-DU SetConic eID, entity, 1/Rpost, CCpost A{B$$7% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost W^Fkjqpv J Q*~le* '************************************************************************* MIl\Bn 'Lens thickness (Position of posterior lens surface) roAHkI '************************************************************************* g8&& W_BI ]e5aHpgR= parID = FindFullName( "Geometry.Arizona Eye.Lens" )
|0uqW1 4IB`7QJq ' Delete any z-shift(s) `|"o\Bg< count = 0 .Wp(@l'Hd While GetOperationCount(eID)>count 8KigGhY'ms GetOperation eID, count, op r/0#D+A If op.Type="ShiftZ" Then :N^B54o%6 DeleteOperation eID,count )>b1%x} = count=count-1 y
c<%f End If P|?nx"c count=count+1 WdC7CK Wend s2QgR37s> pp*MHM)x|q 'Set new z-shift Yz0HBEA op.Type = "ShiftZ" o](ORS$~ op.val1 = tlens :4X,5X7tW= op.parent = parID y|*4XF<b AddOperation eID, op X2| Z! Print "Set lens thickness = " & tlens *kF/yN ,g?M[(wtc '************************************************************************* Vu~fF@
| 'Lens index of refraction +|+fDQI '************************************************************************* )PU\|I0|)e eID = FindMaterial( "Lens" ) 0{o 8-# GetModelMaterial eID, mat R*W1<W%q= cw~GH mat.Nd = nlens wT;;B=u}G SetModelMaterial eID, mat F3Da-6T@ Print "Set lens index of refraction = " & nlens W0U|XX!& em^2\*sxpA '************************************************************************* s%>u[-9U 'Pupil diameter U'5p;j)_ '************************************************************************* .g}Y!
l eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) [tt_>O DX3jE p2 'Adjust pupil diameter (trimming volume inner hole) MfLus40;n R~TG5^( SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" rvnm*e, M5`m5qc3 ' Adjust pupil location to just in front of the lens _J"J[$ parID = FindFullName( "Geometry.Arizona Eye" ) QiRx2Z*\ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }gX4dv
B count = 0 Xe/7rhov While GetOperationCount(eID)>count ;yZY2)L GetOperation eID, count, op cx)x="c If op.Type="ShiftZ" Then hiR+cPSF DeleteOperation eID,count 7#*O|t/' count=count-1 'e
x/IqbK End If Pm24;' count=count+1 a,M/i&.e` Wend ]Qx-f*
D6 op.Type = "ShiftZ" )5;|mV op.val1 = taq-0.01 ?PB}2*R op.parent = parID \jkDRR[ AddOperation eID, op V-i:t,*lk( <sGioMr Print "Set pupil diameter = " & pupilDiam &j{IG`Trl )@.ODW;` 'Update AZ Eye subassembly Description wYHyVY2tj2 eID = FindFullName( "Geometry.Arizona Eye" ) tE=$# GetEntity eID, entity A#79$[>w entity.Description = "Accommodation = " & A & "D" \nV oBW( SetEntity eID, entity .8|5;!`WB <("P5@cExU Update ,?GAFgK: Print "DONE!" _8z etP`q:6^c End Sub 0R,Y[).U [vCZD8"Y8 如果屈光度是4,光瞳直径是4,则会输出如下数据: :Sk<0VVd7 +n 8,=} Accommodation = 4 Diopters LA837%) Pupil Diameter = 4 mm 90$`AMR Set aqueous humor thickness = 2.81 9>5]y}.{ Set anterior lens radius = 10.4 and conic constant = -2.375869 GlXzH1wZ Set posterior lens radius = -4.424557 and conic constant = -3.081019 FC8=
ru Set lens thickness = 3.927 rk?G[C)2c Set lens index of refraction = 1.42672 f6HDfJmE Set pupil diameter = 4 QlxlT $o} DONE! K9'AYFse +(hr5 j7Lw(AJ QQ:2987619807 @ j4~`~8
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