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简介 3H#/u! W gzCMJ<3!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。 DPQGh`J F%Umau*1 模型 wx%nTf/Oa 9^#gVTGXv 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。 ?J@qg20z ivz9R' Table 1. AZ眼睛模型的定义 i2a"J&,6O 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. dIa(</ } GL =XiBt 光源 W$Q)aA7 *R\/#Y| 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 C1B3VG gq_7_Y/ QC5f:BwM 图1. 光源和提示信息使用 ElR&scXi__ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 #C;zS9(]B :Mu8W_ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 4B8S e C:GHP$/} 图2. 字母F光源的设定方法光 a$zm/ MRg\FR2>1 图3. 字母F在视网膜上位置点列图 u~- fK'/!| 视网膜的散射 @S"pJeP/f +V);'"L 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 #"p1Qea$ )Z8"uRTb0 !P60[*> 图4. 视网膜朗伯散射设定 ^o6)[_L 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。 EOPS? @ SeNF!k% Y ZCE%38E N 图5. 视网膜重点采样规格设定 ,KhMzE8_a 脚本 3Da,]w< $dZ>bXUw: 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ,;cel^.b e8ULf~I 图6. 用户对话框的创建与编辑 F;Q_*0mIQ 图7. 用户对话框编辑器 2Z;`#{ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 *0&4mi8 余下的脚本计算与屈光度有关的所有参数。 h%1~v$W` ]o[X+;Tj| 分析 tf7v5iG e 2c"N-c&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。 #7~tL23}] %EVV-n@ 图7. 字母F在视网膜上颜色分析 (U(/C5' 脚本代码 pqH(
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Option Explicit 'Remove this to enable non-dimensioned variables to be used. )+w/\~@ qb-2QPEB Dim entity As T_ENTITY Iu-'o Dim op As T_OPERATION ,a9D~i 9R Dim mat As T_MODELMATERIAL esh$*)1 Dim A As Double zr3q>]oma Dim pupilDiam As Double k_K,J6_) Dim eID As Long qu<B%v Dim parID As Long 'Vm5Cs$ Dim count As Integer zM_DE Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2Ft8dfdm` Dim tlens As Double, nlens As Double Hb
A3*2 Dim curv As Double, conic As Double @~$F;M=.* Dim ok As Long `i t+D 462!;/y Sub Main ;# R3k ~@-QbkC '用户输入对话框 pYLY;qkG" Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .K|P& TextBox 220,21,40,21,.TextBox1 'default: 0 dysX Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^o $W OKButton 40,91,90,21 ERfd7V<c> CancelButton 190,91,90,21 FE8+E\ U? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 MtZt8s TextBox 220,49,40,21,.TextBox2 'default: 4 u}-d7-= End Dialog zdLVxL>87 Dim dlg As UserDialog 8^<c,!DM X"hOHx5P ok = Dialog (dlg) *Nvy+V &\[Qm{lN If ok=0 Then 'cancel button was pressed C
'B4 mmC Print "Execution cancelled." 2!{_/@I\Y End 5E]UI YAkV End If !y>lOw})Q _l#3]# 'Assign accommodation and pupil diameter & use defaults if field left empty |`_ <@b If dlg.TextBox1 = "" Then kf+JM/ A = 0 'Default accommodation }yx=(+jP Else xHEVR!&c4 A = CDbl(dlg.TextBox1) ]PR|d\O End If `"xk,fVYd O%YjWb If dlg.TextBox2 = "" Then QO5OnYh pupilDiam = 4 'Default pupil diameter I;Al?&uw Else #joF{M{ pupilDiam = CDbl(dlg.TextBox2) }': EJ~H End If *C4~}4WT\ ?)!Sm N/ Print " " ?@Z7O.u Print "Accommodation = " & A & " Diopters" :0M'=~[ Print "Pupil Diameter = " & pupilDiam & " mm" ]{K5zSK (g%JK3 ' Calculate new parameters with accommodation 8s QQK.N( taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ltNuLZ McT\ R{/ Rant = 12.0 - 0.4*A 'Radius of anterior lens Rz`@N`U CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens beJZpg ..??O^ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <8iYL`3 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens H,(F1+~d 6b%`^B\ tlens = 3.767 + 0.04*A 'Lens thickness !?BW_vY kjx> nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction xh{mca>?G bHO7*E 'Adjust parameters to account for accommodation
fkW3~b Ezi' 2Sc '************************************************************************* ~J%R-{U9 'Aqueous thickness (Position of Lens) rQ=xcn[A '************************************************************************* OF-E6b c eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~@%(RMJm& GetCustomElement eID, entity sk#9x`Rw H!Wis3S3G parID = FindFullName( "Geometry.Arizona Eye" ) I_:t}3s "w;08TX8 ' Delete any shift(s) in z f8^"E $" count = 0 J=@hk@Nq# While GetOperationCount(eID)>count /r>IV`n{ GetOperation eID, count, op kXigX- If op.Type="ShiftZ" Then M,&tA1CH DeleteOperation eID,count grGhN q count=count-1 HpW"lYW4 End If cL?\^K) count=count+1 d?JAUbqy Wend !K!)S^^Po? IZ+*`E 'Set new shift in D=2~37CzQ1 op.Type = "ShiftZ" !{$qMhT op.val1 = taq :}^Rs9 ' op.parent = parID b([:,T7 AddOperation eID, op 3b#L17D3_ Print "Set aqueous humor thickness = " & taq-0.55 +IvNyj| <sa #|Y$ '************************************************************************* 1d`cTaQ- 'Radius and conic constant of anterior lens z|uOJ0uK '************************************************************************* 5xhM0( eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) KCE=|*6::| GetConic eID, entity, curv, conic 2>g^4( Og+)J9# SetConic eID, entity, 1/Rant, CCant S3ErH,XB. Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :
-E, c2/"KT '************************************************************************* n4Vwao/9x 'Radius and conic constant of posterior lens (m6EQoW^s+ '************************************************************************* 6Ux[,]GK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) >xZ5ac
I GetConic eID, entity, curv, conic b,9@P&=:2 g-XKP SetConic eID, entity, 1/Rpost, CCpost i)=m7i Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Xj%,xm>}!u cbfDB^_ '************************************************************************* L"4]Tm>zq 'Lens thickness (Position of posterior lens surface) 5~QhX22 '************************************************************************* V5~fMsse
B`#*o<eb parID = FindFullName( "Geometry.Arizona Eye.Lens" ) H*GlWgfG {yTpRQN~ ' Delete any z-shift(s) xg?auje count = 0 { E^U6@ While GetOperationCount(eID)>count 3+e4e GetOperation eID, count, op ,'=hjIel If op.Type="ShiftZ" Then MBlBMUJk DeleteOperation eID,count |4Qx=x> count=count-1 fSbS(a End If ,'u *ZB; count=count+1 v_.HGGS Wend
"3wv:BL Zd$JW=KR]l 'Set new z-shift z4bN)W )p op.Type = "ShiftZ" eIsT!V"7 op.val1 = tlens Y|_O8[ op.parent = parID X
PA0m AddOperation eID, op B@"J]S Print "Set lens thickness = " & tlens 02(h={ )y`i@S}J '************************************************************************* rmsQt
'Lens index of refraction g
&*mozs '************************************************************************* (#If1[L eID = FindMaterial( "Lens" ) b;*c:{W) GetModelMaterial eID, mat ##v`(#fu vTHq)C.7G mat.Nd = nlens Yh$fQ:yi\& SetModelMaterial eID, mat 9)Ly}Kzx Print "Set lens index of refraction = " & nlens XC2FF&B& fgmSgG"b '************************************************************************* NZ+7p{&AN 'Pupil diameter NCn`}QP '************************************************************************* 68p R: eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]
opto $~G@ 'Adjust pupil diameter (trimming volume inner hole) 0yaMe@&, D#ZPq,f SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" sBU_Ft V9Hl1\j^ ' Adjust pupil location to just in front of the lens "W5rx8a parID = FindFullName( "Geometry.Arizona Eye" ) !9D1
Fa eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) SB/3jH count = 0 z0
\N{rP& While GetOperationCount(eID)>count lH6fvz GetOperation eID, count, op cJ2PI If op.Type="ShiftZ" Then (0R2T"/ DeleteOperation eID,count +(&|u q^ count=count-1 l|q%%W0 End If BPewc9RxV count=count+1 ceG&,a$\ Wend Bzw19S6y op.Type = "ShiftZ" KUFz:&wK op.val1 = taq-0.01 SO_>c+Dw op.parent = parID tF%QH[ AddOperation eID, op + {e`]t>_ #1gO?N(<= Print "Set pupil diameter = " & pupilDiam G\ex^&M , D"]y~~I5 'Update AZ Eye subassembly Description #kci=2q_ eID = FindFullName( "Geometry.Arizona Eye" ) iZ "y7s GetEntity eID, entity }LQC.! entity.Description = "Accommodation = " & A & "D" Cfv]VQQE SetEntity eID, entity |vz9Hs$@l 0X>T+A[E Update =)
}nLS3t Print "DONE!" $@.jZ_G pV=@sz,G End Sub `*k@4.J{ SY T$3|a 如果屈光度是4,光瞳直径是4,则会输出如下数据: !^?qU;| V{ |[oIp Accommodation = 4 Diopters " #v%36U Pupil Diameter = 4 mm x*q35K^PE Set aqueous humor thickness = 2.81 ,H{={aln Set anterior lens radius = 10.4 and conic constant = -2.375869 i*CnoQH Set posterior lens radius = -4.424557 and conic constant = -3.081019 ^{[[Z.&R? Set lens thickness = 3.927 ~},W8\C> Set lens index of refraction = 1.42672 7&|6KN}c Set pupil diameter = 4 yWY|]Pp DONE! 2y%R:Mu niz 'b]] + $r15gfne> QQ:2987619807 ShGp^xVj
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