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简介 )t0b$<% LQ@|M.$A 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。 is?&%VY R$fIb}PDr 模型 mF}k}0 [T}]Ma*CS 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 g$"eI/o E@jl: -*E Table 1. AZ眼睛模型的定义 d95N$n
在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. \u_v7g ^X;Xti 光源 ;]M67ma7C thPH_DW>eb 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 px>>]>ZMH JGDUCb~ 6J-}&U 图1. 光源和提示信息使用 8Qz7uPq 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 TcLaWf!c5 "$IwQ 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。 ~}0hN]*G '>|*j"jv- 图2. 字母F光源的设定方法光 x0A%kp&w /Tf*d>Yh; 图3. 字母F在视网膜上位置点列图 pu$XUt
视网膜的散射 ?SO F
n 6>BDA? 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 @*"<U] y]YS2^ _Q}RElA 图4. 视网膜朗伯散射设定 . 02(O 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 g}
~<!VpX dezL{:Ya p@8^gc 图5. 视网膜重点采样规格设定 ,c7u 脚本 y]pN=<*h5 KaQq[a 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: yFU2'pB qv*uM0G6i 图6. 用户对话框的创建与编辑 A[ECa{v 图7. 用户对话框编辑器 YTjuSV 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 G2+)R^FSC 余下的脚本计算与屈光度有关的所有参数。 8P<UO YV3TxvXMR 分析 ~2A$R'x b 8@W/43K8- 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 dI
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9?Cm` 图7. 字母F在视网膜上颜色分析 Y\g90 脚本代码 WQLHjGehe Q"6hD?6. Option Explicit 'Remove this to enable non-dimensioned variables to be used. n|mJE,N i3 l #~ Dim entity As T_ENTITY K!D_PxV Dim op As T_OPERATION -90ZI1O` Dim mat As T_MODELMATERIAL k|$"TFXx; Dim A As Double 8/>wgY Dim pupilDiam As Double 2.Eu+*UC Dim eID As Long itC *Z6^ Dim parID As Long b ?2X>QJ Dim count As Integer lGnql 1( Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Q 9gFTLQ Dim tlens As Double, nlens As Double yrE,,N%I Dim curv As Double, conic As Double ny Dim ok As Long V:F+HMBk tgvpf/cQ Sub Main S1az3VJI\ o3i,B),K '用户输入对话框 L VU)W^ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 -l40)^ E} TextBox 220,21,40,21,.TextBox1 'default: 0 /_:T\`5uO Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 FU(}=5n OKButton 40,91,90,21 4l%?mvA^m CancelButton 190,91,90,21 tJh3$K\ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ;vI*ThzdD TextBox 220,49,40,21,.TextBox2 'default: 4 YM`:L End Dialog ph8Jn+|E Dim dlg As UserDialog hP4)8 > (ifqwl62 ok = Dialog (dlg) TJyH/C ET,0ux9F If ok=0 Then 'cancel button was pressed ! =\DC,-CB Print "Execution cancelled." @`IXu$Wm( End .o\;,l2 End If ;*wT,2;
n{.*El>{ 'Assign accommodation and pupil diameter & use defaults if field left empty M|[@znzR< If dlg.TextBox1 = "" Then jHu,u|e0>S A = 0 'Default accommodation yUD_w Else _>gXNS r4u A = CDbl(dlg.TextBox1) +(=0CA0GE End If Mz/]D J8 9zoT6QP4 If dlg.TextBox2 = "" Then DnG/ n pupilDiam = 4 'Default pupil diameter B@"SOX Else KJ0xp hf pupilDiam = CDbl(dlg.TextBox2) (c(-E|u. End If J8GXI :y D0Vyh"ua Print " " i14[3bPLk! Print "Accommodation = " & A & " Diopters" 9S:{ Print "Pupil Diameter = " & pupilDiam & " mm" []A"]p
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' Calculate new parameters with accommodation 4T-,'P{? taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness C=oM,[ESQ0 l)tTg+: Rant = 12.0 - 0.4*A 'Radius of anterior lens fV.A=*1l# CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens b(PHZCy# laUu"cS Rpost = -5.224557 + 0.2*A 'Radius of posterior lens =_$XP CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens =~GE?}.o rxs~y{Xi tlens = 3.767 + 0.04*A 'Lens thickness `y8
?= 5u2{n rc nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Vl5SL{+D |eH wp 'Adjust parameters to account for accommodation ]dPVtk !Y ;H(.A/ '************************************************************************* 2-vJv+- 'Aqueous thickness (Position of Lens) '}U_D:o.b '************************************************************************* Q!4i_)rM eID = FindFullName( "Geometry.Arizona Eye.Lens" ) wF|0n t GetCustomElement eID, entity ioB|*D<U2 T"L0Iy!k; parID = FindFullName( "Geometry.Arizona Eye" ) !cq=)xR vKcl6bVT ' Delete any shift(s) in z g\ErJ+i count = 0 P'a0CE% While GetOperationCount(eID)>count 5SoZ$,a<e GetOperation eID, count, op vOos*& If op.Type="ShiftZ" Then ,sO:$ DeleteOperation eID,count Yw6DJY count=count-1 AuoxZ?V End If 5h_<R!jA count=count+1 <lC]>L Wend ybo#K 'M~BE\ 'Set new shift in VK @$JwdL op.Type = "ShiftZ" gKmX^A5< op.val1 = taq HG2N-<$ op.parent = parID El~-M`Gf AddOperation eID, op :z
B}z^8- Print "Set aqueous humor thickness = " & taq-0.55 p]wP36<S!
@bY('gC, '************************************************************************* VLf
g[*k 'Radius and conic constant of anterior lens ?k
[%\jq{a '************************************************************************* (7IqY1W eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) C@*%AY GetConic eID, entity, curv, conic
*f79=x -G8c5b[ SetConic eID, entity, 1/Rant, CCant zL9VR;q Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .4wTjbO6 uA~YRKer '************************************************************************* -@rxiC:Q 'Radius and conic constant of posterior lens dSwm|kIa '************************************************************************* sa_R$ /H eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Ej'
7h~ =v GetConic eID, entity, curv, conic #MUiL= %moJF1 SetConic eID, entity, 1/Rpost, CCpost vKU`C?,L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 3AK(dC[ri c\M#5+ 1j '************************************************************************* ,
Hn7(^t 'Lens thickness (Position of posterior lens surface) ue@8voZhS/ '************************************************************************* wuKl-:S;Vs ,!`SY) parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9ftN8Svw H6_xwuw: ' Delete any z-shift(s) B]1HS`*7 count = 0 ^"1TPd| While GetOperationCount(eID)>count 5|{)Z]M%9 GetOperation eID, count, op O:1DOUYXs If op.Type="ShiftZ" Then Y[Es DeleteOperation eID,count
;;@IfZ ?j count=count-1 So#dJ> End If B#]_8svO count=count+1 W}>=JoN^J Wend ,*dzJT$k ^\:yf.k 'Set new z-shift r=qLaPG op.Type = "ShiftZ" }'lNi^"XL op.val1 = tlens [G a~%m op.parent = parID +jtA&1cf AddOperation eID, op 9RxO7K Print "Set lens thickness = " & tlens DF'8GF&Rp ;`kWpM; '************************************************************************* H>?F8R_iq 'Lens index of refraction _9NVE|c; '************************************************************************* {7X#4o0 eID = FindMaterial( "Lens" ) NY@"&p'Q GetModelMaterial eID, mat ]NtSu%u QsOhz mat.Nd = nlens >Rt9xP SetModelMaterial eID, mat ,-@5NY1q Print "Set lens index of refraction = " & nlens :M j_2 &8sV
o@Pa '************************************************************************* 1kmQX+f 'Pupil diameter +yWR#[`n '************************************************************************* o 7G> y#Y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) (S oo<.9~ b{RqwV5P 'Adjust pupil diameter (trimming volume inner hole) !%xP}{(7 0KAj]5nvb SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
55-D\n<
-4flV D ' Adjust pupil location to just in front of the lens nLy#|C parID = FindFullName( "Geometry.Arizona Eye" ) [9V]On eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) w(BH247` count = 0 .$Bwb/a While GetOperationCount(eID)>count `5'2Hg+ GetOperation eID, count, op m_*R.a If op.Type="ShiftZ" Then ioV_oR9I DeleteOperation eID,count dn,g Z"< count=count-1 /APcL5:= End If `tE^jqrke5 count=count+1 Fk1.iRVzi Wend >|3a
9S op.Type = "ShiftZ" )`8pd 7<. op.val1 = taq-0.01 D|_V<' op.parent = parID NP/>H9Q2% AddOperation eID, op %6ub3PLw8 gLQ #4H
Print "Set pupil diameter = " & pupilDiam 3]U]?h +y&d;0! 'Update AZ Eye subassembly Description 8~ #M{} eID = FindFullName( "Geometry.Arizona Eye" ) @(:v_l GetEntity eID, entity )ofm_R'q* entity.Description = "Accommodation = " & A & "D" ? _<[T SetEntity eID, entity }q!_!q,@ 0xpx(T[ Update ip``v0Nf Print "DONE!" U,;xZe dvjTyX End Sub '#Dg8/r! RY=1H 如果屈光度是4,光瞳直径是4,则会输出如下数据: !@g)10u V5"HwN+` Accommodation = 4 Diopters 6)e5zKW!? Pupil Diameter = 4 mm kWL.ewTiex Set aqueous humor thickness = 2.81 Y )b@0' Set anterior lens radius = 10.4 and conic constant = -2.375869 ^0tw%6: Set posterior lens radius = -4.424557 and conic constant = -3.081019 EO)%UrWnC Set lens thickness = 3.927 iOqk*EL_r\ Set lens index of refraction = 1.42672 t`|,6qEG Set pupil diameter = 4 I,O#X)O|i DONE! PlCc8Zy
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