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简介 _>+Ld6.T6 0J9x9j`&j 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。 vXs"Dst kP:!/g 模型 N8jIMb'< (QEG4&9 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。 )nkY_'BV u`W2+S Table 1. AZ眼睛模型的定义 K-v#.e4 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. B\~}3!j vh^VxS 光源 ^#pEPVkY y[;>#j$ 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。 Q,g\ c 9Mz]1@f D.:Zx 图1. 光源和提示信息使用 ?<!| 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。 y29m/i: Q &8-\ 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。 e~OpofJNb Jy)/%p~ 图2. 字母F光源的设定方法光 V3Bz
Mw\9r >4TO=i 图3. 字母F在视网膜上位置点列图 /~1+i'7V., 视网膜的散射 )~>YH*g rq{$,/6. 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。 [Xkx_B 6ujWNf X|dlt{Gf
图4. 视网膜朗伯散射设定 vx
=&QavL 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。 2?C)& ]Wup/o c<~H(k'+c 图5. 视网膜重点采样规格设定 F59 TZI 脚本 KNl$3nX _`X:jj> 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: + {]j]OP ^iA9%zp 图6. 用户对话框的创建与编辑 }>\C{ClI 图7. 用户对话框编辑器 [),ige 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。 h[ ZN+M 余下的脚本计算与屈光度有关的所有参数。 &{:-]g\ P}iE+Z3 分析 !WlH'y-I V`5O{Gg 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 bA 2pbjg= ?dTD\)%A 图7. 字母F在视网膜上颜色分析 7zMr:JmV 脚本代码 BtZ yn7a 7<4qQ.deE Option Explicit 'Remove this to enable non-dimensioned variables to be used. st*gs-8jJ; \V:^h[ad Dim entity As T_ENTITY H,J8M{ Dim op As T_OPERATION XppOU Dim mat As T_MODELMATERIAL qs6aB0ln Dim A As Double *p d@.|^)m Dim pupilDiam As Double ]:;&1h3'7 Dim eID As Long xw%0>K[ Dim parID As Long kfNWI#'9
Dim count As Integer 2oW"'43X Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double d9ihhqq3} Dim tlens As Double, nlens As Double fA-7VdR`R Dim curv As Double, conic As Double zs;JJk^ Dim ok As Long }]TxlSp!; Dq xs+ Sub Main 1YA% -~ IV-{ve6 '用户输入对话框 X&zis1A< Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 g0H[*"hj TextBox 220,21,40,21,.TextBox1 'default: 0 $]1=\I Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 G3]4A&h9v~ OKButton 40,91,90,21 0(Ij%Wi, CancelButton 190,91,90,21 eyaNs{TV Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 w!CNRtM:~ TextBox 220,49,40,21,.TextBox2 'default: 4 GILfbNcd End Dialog 9L9sqZUB Dim dlg As UserDialog !k%#R4*>
lr?;*f^3
ok = Dialog (dlg) wr4:Go` PH"%kCI: If ok=0 Then 'cancel button was pressed )[ ,A_3E Print "Execution cancelled." 0V]s:S End "b[5]Y{
U End If zT/\Cj68 wBzC5T%, 'Assign accommodation and pupil diameter & use defaults if field left empty ToQ"Iy? If dlg.TextBox1 = "" Then BVm0{*-[| A = 0 'Default accommodation 'yth'[ Else j|n R"! A = CDbl(dlg.TextBox1) hph4 `{T End If \jA~9 Bt#N4m[X*| If dlg.TextBox2 = "" Then ,[Fb[#Qqb pupilDiam = 4 'Default pupil diameter (t.Nk[ Else |o@%dH pupilDiam = CDbl(dlg.TextBox2) %SI'BJ End If hSMH,^Io$ zQA`/&=Y Print " " HDKbF/ Print "Accommodation = " & A & " Diopters" 07)yG:q*x Print "Pupil Diameter = " & pupilDiam & " mm" }Lv;! vy/-wP|1 ' Calculate new parameters with accommodation &~!Wym taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness _U0f=m /bEAK- Rant = 12.0 - 0.4*A 'Radius of anterior lens R3!t$5HG CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens q;U,s)Uz^ X.V~SeS Rpost = -5.224557 + 0.2*A 'Radius of posterior lens q=G+Tocv CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens &{RDM~ ccnK#fn v tlens = 3.767 + 0.04*A 'Lens thickness C>~TI,5a3 OTp]Xe/ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Zov~B-Of: b\ PgVBf9 'Adjust parameters to account for accommodation )i<j XZ:O H[UlY?&+ '************************************************************************* 2Hdu:"j 'Aqueous thickness (Position of Lens) ^GX)Z~ '************************************************************************* 9Ee'Cm eID = FindFullName( "Geometry.Arizona Eye.Lens" ) BD-AI GetCustomElement eID, entity W`&hp6Jq P&q7|ST%N parID = FindFullName( "Geometry.Arizona Eye" )
9akH m3ff;, ' Delete any shift(s) in z .G^YqJ 4 count = 0 +)?J#g While GetOperationCount(eID)>count '!$%> ||S GetOperation eID, count, op qa6,z.mQ If op.Type="ShiftZ" Then d1kJRJ DeleteOperation eID,count ap~^Ty<> count=count-1 875od End If 1sCR4L:+ count=count+1 y?0nI<}}HK Wend b[7]F 8X0z~& 'Set new shift in 'n|5ZhXPB op.Type = "ShiftZ" ^t"'rD-I op.val1 = taq uGt-l4 op.parent = parID Sc
AddOperation eID, op Tf)*4O4@' Print "Set aqueous humor thickness = " & taq-0.55 _
J[ BZxvJQ '************************************************************************* :L;a:xSpn= 'Radius and conic constant of anterior lens !Uc T RI '************************************************************************* JCaOK2XT; eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) :Yks|VJ1 GetConic eID, entity, curv, conic CP{cAzHO 3,=6@U SetConic eID, entity, 1/Rant, CCant ?s _5&j7 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant o]:9')5^ v}x&?fU ` '************************************************************************* :yjFQ9^?& 'Radius and conic constant of posterior lens * 4Izy14e '************************************************************************* :@)>r9N eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 1QJL . GetConic eID, entity, curv, conic r9lR|\Ax2U N?>vd* SetConic eID, entity, 1/Rpost, CCpost /=, nGk> Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost HKr
Mim- s0_nLbWwO '************************************************************************* qv"$Bd:]r 'Lens thickness (Position of posterior lens surface) f9\X>zzB2| '************************************************************************* e]tDy0@ L:8q8i parID = FindFullName( "Geometry.Arizona Eye.Lens" ) W];dD$Oqg V!dtF,tH ' Delete any z-shift(s) &I406Z f7y count = 0 ?rup/4| While GetOperationCount(eID)>count g4@ lM"|S GetOperation eID, count, op FE{FGMq If op.Type="ShiftZ" Then S+2(f> Z DeleteOperation eID,count 7!$^r$t count=count-1 @]#1(9P End If #V}IvQl| count=count+1 e!r-+.i( Wend @<Yy{~L| I9Fr5p-%O 'Set new z-shift EyLu O-5 op.Type = "ShiftZ" l0hlM# op.val1 = tlens PY0j9$i? op.parent = parID TuYCR>P[ AddOperation eID, op e*n@j Print "Set lens thickness = " & tlens Qdp)cT *|E[L^ '************************************************************************* t. '!`5G 'Lens index of refraction I0RvnMw '************************************************************************* ^KE%C;u eID = FindMaterial( "Lens" ) )];K .zP GetModelMaterial eID, mat evJ.<{M Zsh9>]ML mat.Nd = nlens I)W`sBL SetModelMaterial eID, mat TNr :pE< Print "Set lens index of refraction = " & nlens $lut[o74 _\HQvH '************************************************************************* :Xd<74Nu 'Pupil diameter TvQo? '************************************************************************* -FCe:iY! A eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) d5z`B H. =4!e&o 'Adjust pupil diameter (trimming volume inner hole) N{~YJ$!8 7fX<511( SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" -FlzEZ "v4B5:bmqW ' Adjust pupil location to just in front of the lens c:u5\&~{ parID = FindFullName( "Geometry.Arizona Eye" ) f0aKlhEC eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
4I?^ t" count = 0 P}G+4Sk While GetOperationCount(eID)>count PIpi1v*qz GetOperation eID, count, op g
SAt@2*U2 If op.Type="ShiftZ" Then BFJnV.0M! DeleteOperation eID,count FtC^5{V+V count=count-1 8&Y^""#e) End If k,F6Tx count=count+1 R+,u^;\ Wend R n*L op.Type = "ShiftZ" MO <3"@/, op.val1 = taq-0.01 yqiq,=OvP op.parent = parID *GN#
r11d AddOperation eID, op J{&H+rd }k
G9!sf Print "Set pupil diameter = " & pupilDiam m<qJcZk {3{"8-18 'Update AZ Eye subassembly Description xLZG:^(I eID = FindFullName( "Geometry.Arizona Eye" ) 1\rz%E GetEntity eID, entity (41|'eB\\ entity.Description = "Accommodation = " & A & "D" HuKc9U'7A SetEntity eID, entity h@]XBv "{Eta Update v+=BCyT Print "DONE!" Uwx
E<=z 'D"C4;X End Sub \K]0JH [o5Hl^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: ~B(4qK1G %O;bAC_M Accommodation = 4 Diopters df #$9- Pupil Diameter = 4 mm j;iAD:nf Set aqueous humor thickness = 2.81 7y@Pa&^8 Set anterior lens radius = 10.4 and conic constant = -2.375869 u21EP[[, Set posterior lens radius = -4.424557 and conic constant = -3.081019 +|89>}w4 Set lens thickness = 3.927 @)&=% Set lens index of refraction = 1.42672 5vZ^0yFQ Set pupil diameter = 4 :s6o"VkW DONE! U,- 39mr >:!X.TG$ pKrN:ExB"\ QQ:2987619807 s)Cjc.Qs
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