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简介 R/YqyT\SM bAMdI 5Zk? 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。 y)@wjH{6 GTd,n= 模型 77Y/!~kd f:}
x7_Q 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。 ]=BB# z}
#JK?u Table 1. AZ眼睛模型的定义 !Vk^TFt` 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. 7@Qcc t4A g7H(PF? 光源 ktIFI`@w) z0 3K=aZ 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。 })%{AfDRF `c$V$/IT 2^7`mES 图1. 光源和提示信息使用 <hyKu
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。 t6c4+D'{]. z24q3 3O 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。 >(<f 0 ob]w;" 图2. 字母F光源的设定方法光 z$sT !QL~ \FaP|28h 图3. 字母F在视网膜上位置点列图 ih3n<gXF 视网膜的散射 e0 ecD3 '&b+R`g' 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。 !N^@4* h?U
O&( d=/F}yP~?s 图4. 视网膜朗伯散射设定 OyIw>Wfv 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。 SpBy3wd LS[]=Mk@1 $??I/6 图5. 视网膜重点采样规格设定 vY3h3o 脚本 5^ Zg>I tuX|\X 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: *-X[u: gX@aG9 图6. 用户对话框的创建与编辑 H5an%kU|j 图7. 用户对话框编辑器 bN.Pex 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 HzJz+ x: 余下的脚本计算与屈光度有关的所有参数。 6A ah9 lB4WKn=?Kl 分析 7tp36 TE *Pr )% 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 "dlVk~ z$sGv19pB 图7. 字母F在视网膜上颜色分析 0g;|y4SN= 脚本代码 E{(;@PzE kx^/*~ex Option Explicit 'Remove this to enable non-dimensioned variables to be used. *^`Vz?g< j>kqz>3 Dim entity As T_ENTITY Zd+bx*rD Dim op As T_OPERATION t{>q|0 Dim mat As T_MODELMATERIAL wd6owr Dim A As Double D%Z| Dim pupilDiam As Double dh\P4 Dim eID As Long ,zc(t<|-y Dim parID As Long |W^IlqTH Dim count As Integer l,).p Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double !r-F>!~ Dim tlens As Double, nlens As Double gqR(.Pu Dim curv As Double, conic As Double \)e'`29; Dim ok As Long *zLMpL_ )/P}?`I Sub Main KPki}'GO 'GScszz '用户输入对话框 $[|mGae Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 +ge?w#R TextBox 220,21,40,21,.TextBox1 'default: 0 6u%&<")4HP Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 +C)~bb* OKButton 40,91,90,21 fQFk+C CancelButton 190,91,90,21 '"Nr, vQo Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 A}!J$V:w] TextBox 220,49,40,21,.TextBox2 'default: 4 vQ.R{!",> End Dialog 2<6UwF Dim dlg As UserDialog TA\vZGJ(' MK*r+xfSae ok = Dialog (dlg) (k P9hcV QGz|*] If ok=0 Then 'cancel button was pressed Nboaf Print "Execution cancelled." 4ppz,L,4 End
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A End If zm# ?W qgB_=Q#E 'Assign accommodation and pupil diameter & use defaults if field left empty -g<oS9 If dlg.TextBox1 = "" Then >mkFV@` A = 0 'Default accommodation ,: ^u-b| Else ~M$Wd2Th A = CDbl(dlg.TextBox1) YYS0` End If fV~~J2IK E`J@hl$N If dlg.TextBox2 = "" Then $Kd>:f=A pupilDiam = 4 'Default pupil diameter 'fW-Y!k% Else ;@J}}h'y pupilDiam = CDbl(dlg.TextBox2) +ai<
q>+ End If tX[WH\(xI
#Q5o)x Print " " MOC/KNb Print "Accommodation = " & A & " Diopters" R-14=|7a- Print "Pupil Diameter = " & pupilDiam & " mm" u:b=\T L 4z)]@:`}z ' Calculate new parameters with accommodation k{0o9, taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4!$"ayGv;D <naz+QK' Rant = 12.0 - 0.4*A 'Radius of anterior lens 8EY:tzw CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens |a@L}m ,u m|1dh Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Ca-j?bb! CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens [Qr"cR^ [ hsds\ tlens = 3.767 + 0.04*A 'Lens thickness @|!z9Y* 4K74=r),i nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction P2Y^d#jO n@w%Zl 'Adjust parameters to account for accommodation ?ubro0F: 2SLU:=<3 '************************************************************************* q(}bfIf 'Aqueous thickness (Position of Lens) `mqMLo* '************************************************************************* kVL.PY\K eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2rMpgV5 GetCustomElement eID, entity ,?3G;- TC"<g parID = FindFullName( "Geometry.Arizona Eye" ) jdBLsy@ Gh$^ { ' Delete any shift(s) in z .V*^|UXbHi count = 0 ?Ob3tUz2 While GetOperationCount(eID)>count g&.=2uP GetOperation eID, count, op iQ{VY
^
0 If op.Type="ShiftZ" Then r*Xuj= DeleteOperation eID,count @pxcpXCy count=count-1 @|r{;' End If Mp]rUPK count=count+1 8i pez/ Wend 4\i[m:e=@ f!"w5qC^ 'Set new shift in 7o4\oRGV op.Type = "ShiftZ" fR|A(u#9 op.val1 = taq Ep}s}Stlr} op.parent = parID ,vDbp?)'U AddOperation eID, op 54/=G(F Print "Set aqueous humor thickness = " & taq-0.55 IK]d3owA <uJ@:oWG7 '************************************************************************* ctUp=po 'Radius and conic constant of anterior lens Y$zSQ_k;U '************************************************************************* +n)9Tz5 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OKV8zO GetConic eID, entity, curv, conic ;\]@K6m/Ap #1[u(<AS SetConic eID, entity, 1/Rant, CCant Je{ykL?N Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant q:(%*sY> Xeajxcop# '************************************************************************* ww/Uzv 'Radius and conic constant of posterior lens 6nQq '************************************************************************* *](iS eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 6wxs1G GetConic eID, entity, curv, conic |{8Pb3#U :Sma`U& SetConic eID, entity, 1/Rpost, CCpost .u:GjL'$ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost "oD[v /o[w4d8 '************************************************************************* ZW}_DT0 'Lens thickness (Position of posterior lens surface) }'.m*#Y '************************************************************************* oQ# 8nu{k nK,w]{<wG! parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9gFUaDLo =}*0-\QG ' Delete any z-shift(s) Uv.)?YeGh count = 0 pUTr!fR While GetOperationCount(eID)>count "fI6Cpc GetOperation eID, count, op d5.4l&\u If op.Type="ShiftZ" Then r,udO,Yi=c DeleteOperation eID,count w@b)g count=count-1 yw!{MO End If Fp:'M X count=count+1 E3i4=!Y Wend w &(ag$p' _^;Z~/. 'Set new z-shift FtZ?C@1/ op.Type = "ShiftZ" Ei|\3Kx op.val1 = tlens yLGRi^d# op.parent = parID q@&6#B AddOperation eID, op xmX 4qtAL Print "Set lens thickness = " & tlens /mMV{[ '7/)Ot( '************************************************************************* :t[_:3@ 'Lens index of refraction ,>M[@4`,U '************************************************************************* g :OI eID = FindMaterial( "Lens" ) Th%zn2R B GetModelMaterial eID, mat Kgv T"s. <[v[ci mat.Nd = nlens
<Uur^uB SetModelMaterial eID, mat 9z0p5)]n> Print "Set lens index of refraction = " & nlens G6/m# ZoeD:xnh[ '************************************************************************* C}X\|J 'Pupil diameter 4W])}C % '************************************************************************* !W\+#ez eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) SKtr tm !<oe=)Iz| 'Adjust pupil diameter (trimming volume inner hole) mR~&)QBP. s.#`&Sd> SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R/_&m$ZB omFz@ ' Adjust pupil location to just in front of the lens @c#(.= parID = FindFullName( "Geometry.Arizona Eye" ) B1gR5p 0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) @L`jk+Y0vF count = 0 ,_P-$lB While GetOperationCount(eID)>count edD)TpmE, GetOperation eID, count, op H::bwn`Vc If op.Type="ShiftZ" Then jylD6IT DeleteOperation eID,count <$YlH@;)`a count=count-1 E{\2='3\ End If )_:NLo: count=count+1 xoL\us`A Wend teP<!RKNb op.Type = "ShiftZ" NRuNKl.v op.val1 = taq-0.01 8(De^H lO op.parent = parID jCY%| AddOperation eID, op z{543~Og59 Pfh mo $ Print "Set pupil diameter = " & pupilDiam <%^&2UMg Zfw,7am/ 'Update AZ Eye subassembly Description Om<a<q eID = FindFullName( "Geometry.Arizona Eye" ) 7^Uv7<pw GetEntity eID, entity sT.ss$HY9, entity.Description = "Accommodation = " & A & "D" iCoX&"lb SetEntity eID, entity QPx^_jA maZ)cW?
Update
y7{?Ip4[ Print "DONE!" 0J|3kY-n> :m;p:l|W End Sub _aphkeqd ~Ei<Z`3}7" 如果屈光度是4,光瞳直径是4,则会输出如下数据: ^OdP4m(
>> ("@!>|H Accommodation = 4 Diopters ;a/E42eN; Pupil Diameter = 4 mm {:s f7 Set aqueous humor thickness = 2.81 x^ni1=kU Set anterior lens radius = 10.4 and conic constant = -2.375869 `^vE9nW7 Set posterior lens radius = -4.424557 and conic constant = -3.081019 mDWG7 Asp Set lens thickness = 3.927 \['Cj*e k Set lens index of refraction = 1.42672 VTM/hJmwJ Set pupil diameter = 4 +q4O D$} DONE! aXVFc5C\ 0K+ne0I dr(*T QQ:2987619807 ks tIgcI
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