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简介 +?zyFb]Km 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。 oJVpNE[3] cpz}!D 模型 RX4O1Z0 )fP,F( 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。 "tBdz V TKvUBy Table 1. AZ眼睛模型的定义
%1 <No/ 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. G5egyP; %gSqc
}v* 光源 us\@n" 6*cm 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。 3}= .7qm w~afQA> =H.l/'/Z 图1. 光源和提示信息使用 V7%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。 ]|<PV5SY3. EShc1KPqc 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。 1*S It5?4 ~;_]U[eOL 图2. 字母F光源的设定方法光 @4^5C- <.CO{L\e 图3. 字母F在视网膜上位置点列图 {J%Na&D 视网膜的散射 p<?~~7V e]!Vxn3 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。 L7_(KC h .FK[Y?ci# H"WkZX 图4. 视网膜朗伯散射设定 k:4 Zc3 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。 MB"uJUk fs&J%ku\ Gg|'T}0X 图5. 视网膜重点采样规格设定 Yd~K\tX:n 脚本 9"52b9U SJoQaR,)> 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: NoO>CjeFb ^W9[PE#F 图6. 用户对话框的创建与编辑 QG?7L_I 图7. 用户对话框编辑器 `I ,A7b 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。 >&TSz5Q 余下的脚本计算与屈光度有关的所有参数。 Y;6<AIx> JaKR#Y$+~ 分析 j WLZ!a3+ @^a6^*X> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (9*s:)zD- 0&=2+=[c 图7. 字母F在视网膜上颜色分析 z{pNQ[t1Z 脚本代码 q~p,A>K sSd Option Explicit 'Remove this to enable non-dimensioned variables to be used. !H{)L@f 2`+ ?s Dim entity As T_ENTITY >9a%"<(2# Dim op As T_OPERATION N#@xo)-H Dim mat As T_MODELMATERIAL MG>g?s'! Dim A As Double leiED' Dim pupilDiam As Double </t_<I0{ Dim eID As Long E$.|h;i]Q Dim parID As Long FH)bE#4 Dim count As Integer kuu9'Sqc'b Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 3:<+9X Dim tlens As Double, nlens As Double kMKI=>s+ Dim curv As Double, conic As Double )wP0U{7?v Dim ok As Long Odxq ]HlbO x,E#+
m Sub Main :{h,0w'd <Xm5re. '用户输入对话框 9<kKno Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 k^Tu9}[W1 TextBox 220,21,40,21,.TextBox1 'default: 0 ?)<zrE5p Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 5IW^^<kiu OKButton 40,91,90,21 _t6siB_u CancelButton 190,91,90,21 ,a?)#X Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 |.=Ee+HZ TextBox 220,49,40,21,.TextBox2 'default: 4 -?e~dLu End Dialog >4ebvM
0| Dim dlg As UserDialog *0{MAm Z%Y=Lx ok = Dialog (dlg) >ly= O W0tBF&E" If ok=0 Then 'cancel button was pressed Q}^
n Print "Execution cancelled." [4
g5{eX End aBr%"&Z.MG End If JnhHV(H q\O'r[&V 'Assign accommodation and pupil diameter & use defaults if field left empty {5.,gb @6 If dlg.TextBox1 = "" Then j_&/^-;e A = 0 'Default accommodation cmt3ceCb Else 9V?MJZ@aG A = CDbl(dlg.TextBox1) c1wgb8 End If L}nj#z4g 2c5>0f If dlg.TextBox2 = "" Then 4I"QT(; pupilDiam = 4 'Default pupil diameter cy)L%`(7 Else
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?/h5< pupilDiam = CDbl(dlg.TextBox2) gwThhwR End If 6TfL|W< ~Az20RrK) Print " " u~LisZ&tP Print "Accommodation = " & A & " Diopters" EM vV Print "Pupil Diameter = " & pupilDiam & " mm" A&$!s)8z g]$>G0E`oD ' Calculate new parameters with accommodation 8Qu7x[tK? taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $7TYix8= 5ez"B]&T Rant = 12.0 - 0.4*A 'Radius of anterior lens _ H$Cm CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ~#I1!y~` U( W#H| Rpost = -5.224557 + 0.2*A 'Radius of posterior lens @WhcY*R2 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 7Yk6C5C &lBfW$PZjk tlens = 3.767 + 0.04*A 'Lens thickness RK'3b/T ;TmwIZ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction +/\.%S/ 'QeqWn 'Adjust parameters to account for accommodation IZJV6clM 3(^9K2.s} '************************************************************************* kt[#@M!} 'Aqueous thickness (Position of Lens) F!pUfF,& '************************************************************************* &^9f)xb eID = FindFullName( "Geometry.Arizona Eye.Lens" ) l3-KswU GetCustomElement eID, entity 3WPMS/ (`3Bi]7 parID = FindFullName( "Geometry.Arizona Eye" ) X?>S24I"9 {nryAXK ' Delete any shift(s) in z }y=7r!{@ count = 0 rRT9)wDa While GetOperationCount(eID)>count S31:} GetOperation eID, count, op bn<&Xe If op.Type="ShiftZ" Then )KXLL;] DeleteOperation eID,count k B2+ Tr count=count-1 B'yN &3 End If OMKEn!Wq count=count+1 UY}lJHp0 Wend hJFQ/( O(&EnNm[2 'Set new shift in qf)]!wU9 op.Type = "ShiftZ" g^B6NF op.val1 = taq 71K6] ~< op.parent = parID $|(roC( AddOperation eID, op .]r[0U Print "Set aqueous humor thickness = " & taq-0.55 a Mv @Z3b^G[ '************************************************************************* Yo7ctwzdH; 'Radius and conic constant of anterior lens f$2lq4P{ '************************************************************************* ),M8W15 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zc/S GetConic eID, entity, curv, conic ^4s#nf:} ReSP)%oW SetConic eID, entity, 1/Rant, CCant 50_%Tl[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q#OLb"bTr /^4)V8D_S '************************************************************************* !o*oT}6n 'Radius and conic constant of posterior lens X+&@$v1 '************************************************************************* ld9zOq eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ShCAkaj_ GetConic eID, entity, curv, conic 5fVdtJk7 5n(p1OM2q SetConic eID, entity, 1/Rpost, CCpost r\Man'h$ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost m{b(^K9} cG"jrQ '************************************************************************* z2"2Xqy<U 'Lens thickness (Position of posterior lens surface) @Ki`g(],P '************************************************************************* u;=("S{"0 7RdL/21K parID = FindFullName( "Geometry.Arizona Eye.Lens" ) bE0S)b) VaX>tUW ' Delete any z-shift(s) W9eR3q count = 0 T( ;BEyc? While GetOperationCount(eID)>count 4{fi=BA GetOperation eID, count, op &=02.E@ If op.Type="ShiftZ" Then H2k>E}` DeleteOperation eID,count Bb-x1{t count=count-1 P6IhpB59 End If v[Ar{t& count=count+1 N4H nW0 Wend {{2ZWK 6| OsC1('4@ 'Set new z-shift V]vk9M2q[l op.Type = "ShiftZ" 3!Be kn] op.val1 = tlens hKX-]+6" op.parent = parID /jS AddOperation eID, op c&'T By Print "Set lens thickness = " & tlens .5ingB3% :UScbPG '************************************************************************* 9KAXc(- 'Lens index of refraction bZtjg '************************************************************************* 0Q>Yoa
11 eID = FindMaterial( "Lens" ) 0|4XV{\qT$ GetModelMaterial eID, mat I}?fy\1A& B&.XGo) mat.Nd = nlens cT.1oaAM0 SetModelMaterial eID, mat -.z~u/uL Print "Set lens index of refraction = " & nlens nnr(\r~ C:P, q6 '************************************************************************* 1lMU('r% 'Pupil diameter IClnh1= '************************************************************************* D $ `yxc eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) a&y%|Gs^f RJd55+h 'Adjust pupil diameter (trimming volume inner hole) hg\$>W~2
fmloh1{4 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" N %0F[sY6 N$_Rzh"9rr ' Adjust pupil location to just in front of the lens x:?1fvVR parID = FindFullName( "Geometry.Arizona Eye" ) ,T1t` eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) O<o_MZN count = 0 wcV~z:&^5 While GetOperationCount(eID)>count 1[B?nk GetOperation eID, count, op *K0CUir| If op.Type="ShiftZ" Then WH'[~O DeleteOperation eID,count fv`%w count=count-1 v}[7)oj| End If \mv7"TM count=count+1 >B~p[wh0 Wend U24?+/5D] op.Type = "ShiftZ" PW.W.<CL op.val1 = taq-0.01 Zx`hutCv op.parent = parID ZM4q@O)/ AddOperation eID, op vw+
@'+
|yQ3H)qB# Print "Set pupil diameter = " & pupilDiam )7J@A%u E#_}y}7JY 'Update AZ Eye subassembly Description 4Jo:^JV eID = FindFullName( "Geometry.Arizona Eye" ) qFvtqv2 GetEntity eID, entity "4L' 2w+ entity.Description = "Accommodation = " & A & "D" 4$vya+mAk5 SetEntity eID, entity #PtV=Ee1 6AzH'HF Update >F@7}Y( Print "DONE!" -*tP_=- Dg (MbI8B> End Sub <PJwBA %{ RQ|!?\a= 如果屈光度是4,光瞳直径是4,则会输出如下数据: V&NOp 5v>(xl Accommodation = 4 Diopters ##yi^;3Y Pupil Diameter = 4 mm |4wVWJ7 Set aqueous humor thickness = 2.81 v>0xHQD*<M Set anterior lens radius = 10.4 and conic constant = -2.375869 JNk
]$ xz Set posterior lens radius = -4.424557 and conic constant = -3.081019 TQbhK^] Set lens thickness = 3.927 >dZ x+7 Set lens index of refraction = 1.42672 hv7!x=?8 Set pupil diameter = 4 3LX<&."z DONE! SOeL@!_ wCc:HfmjJ (文章来源:讯技光电)
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