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简介 =aZgq99 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。 =]jc{Y%o H<41H;m 模型 vFm8 T58 7 %0l'Nuz 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。 *Z'*^Y1le ,]RMa\Q4Wg Table 1. AZ眼睛模型的定义 K}7E;O5m" 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. ln.'}P Kab"r_' 光源 "=<T8M TLbnG$VQS 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 oS3'q\ MJ "ug8N K",YAfJa 图1. 光源和提示信息使用 & -L$B
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。 _wMx KM Aiyx!Q6vT 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。 N?7MYP HZ%2WM 图2. 字母F光源的设定方法光 !YX$4_I
mY6d+ 图3. 字母F在视网膜上位置点列图 <% #Dwo} 视网膜的散射 A$d)xq-]K %S*<2F9
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。 -;]m4R)z 2OT
RP4U 2tPW1"M.n 图4. 视网膜朗伯散射设定 J:W|2U=" 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。 K9-;-{qb 8(d Hn 3s%Kw,z 图5. 视网膜重点采样规格设定 b0X<)1O 脚本 'k^d-Mh>h 'NaNh0y 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: _{Z!$q6, Y=G9|7*lO 图6. 用户对话框的创建与编辑 .+ezcG4q 图7. 用户对话框编辑器 P ?^h 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 9t$#!2z 余下的脚本计算与屈光度有关的所有参数。 aMv?D(Meb }+mIP:T 分析 XotiKCk|Aq Q[PVkZ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 vbA<=V*P hHA!.u4& 图7. 字母F在视网膜上颜色分析 K Eda6zZH 脚本代码 nR%ey" l<3X:) Option Explicit 'Remove this to enable non-dimensioned variables to be used. /H (55^EMZ L
i g7Ac, Dim entity As T_ENTITY E5;6ks) Dim op As T_OPERATION z6'Cz}%EP' Dim mat As T_MODELMATERIAL a7Mn/ i. Dim A As Double
pVm]<jO Dim pupilDiam As Double @n|Mr/PAj Dim eID As Long 1>yh`Bp\= Dim parID As Long z:Y
Z]
Dim count As Integer
}H5~@c$ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double e:9s%|]T Dim tlens As Double, nlens As Double C4[) yJ Dim curv As Double, conic As Double pH9xyN[:a Dim ok As Long Fok% xF8U )j! Sub Main +x!Hc s7d4)A% '用户输入对话框 jT'09r3P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #zf,%IYF TextBox 220,21,40,21,.TextBox1 'default: 0 Q6 oM$qiM Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Tv[h2_+E OKButton 40,91,90,21 zH5pe CancelButton 190,91,90,21 n[KL Y! Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 !-veL1r TextBox 220,49,40,21,.TextBox2 'default: 4 !jQj1QZR` End Dialog OH
>#f6`[ Dim dlg As UserDialog 5FJ(x:k?z 1fH2obI~X ok = Dialog (dlg) 4j1$1C{ wPE\?en If ok=0 Then 'cancel button was pressed 79*f <Gr Print "Execution cancelled." $xU)t&Df End Y&uwi:_g End If A.9ZFFz 56?RFnZ&j 'Assign accommodation and pupil diameter & use defaults if field left empty eF"k"Ckt' If dlg.TextBox1 = "" Then | LXVf A = 0 'Default accommodation ~tc,p Else 1j*E/L A = CDbl(dlg.TextBox1) n\i~H End If '" 4;;( eH_< <Xh!v If dlg.TextBox2 = "" Then }`pxs pupilDiam = 4 'Default pupil diameter ID]E3K Else I}sb0 Q& pupilDiam = CDbl(dlg.TextBox2) GYt|[GC End If Kh8 /jl/SV+ Print " " cC*H.N Print "Accommodation = " & A & " Diopters" 7>V*gV?v Print "Pupil Diameter = " & pupilDiam & " mm" . 3'U(U hHk9O? ' Calculate new parameters with accommodation Xqy9D ZIn taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness (PC)R9r5 |jB/d@RE Rant = 12.0 - 0.4*A 'Radius of anterior lens ES)@iM?5 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 5{xK&[wR* r3NdE~OAi Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {%oxzdPc CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens t2(vtxrt _+9o'<#u( tlens = 3.767 + 0.04*A 'Lens thickness ny"z<N&}/ QuIZpP= nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $jOp:R&I^3 5uX-onP\[ 'Adjust parameters to account for accommodation O+?vQ$z I8/tD|3 '************************************************************************* W)<t7q+ 'Aqueous thickness (Position of Lens) ]1 jhy2j '************************************************************************* []$L"?]0uk eID = FindFullName( "Geometry.Arizona Eye.Lens" ) TT oW>RP# GetCustomElement eID, entity 8shx7" sDB,+1"Y$ parID = FindFullName( "Geometry.Arizona Eye" ) R2A#2{+H aL&nD1f=!- ' Delete any shift(s) in z C~IE_E&Q` count = 0 !;U oZ~ While GetOperationCount(eID)>count t,u;"%go GetOperation eID, count, op 7]_zWx,r If op.Type="ShiftZ" Then "vX\Q rL DeleteOperation eID,count CiV^bYi count=count-1 Ro_jfM End If uD?Rs` count=count+1 F1t+D)KA> Wend ,h9?o DP-0,Gt&Xj 'Set new shift in 7h.fT` op.Type = "ShiftZ" +{#L,0t op.val1 = taq 7GvMKtuSK op.parent = parID p<<dj% AddOperation eID, op ]v]tBVO$ Print "Set aqueous humor thickness = " & taq-0.55 c#f@v45 cua ( w '************************************************************************* lPD&Doa 'Radius and conic constant of anterior lens a 2[rY '************************************************************************* \mL]xE- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) =Qf{ GetConic eID, entity, curv, conic T!I3. xE{slDl SetConic eID, entity, 1/Rant, CCant -Iis/Xw: Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant gT(8.<h8 {.?pl]Zl6 '************************************************************************* v o4U% 'Radius and conic constant of posterior lens ,pY:kQ '************************************************************************* kE :{#>[Uz eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ExM VGe GetConic eID, entity, curv, conic wD:2sri 6FN#X g SetConic eID, entity, 1/Rpost, CCpost Dr76+9'i Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost e<qfM&* o70] F '************************************************************************* l"7#(a 'Lens thickness (Position of posterior lens surface) RL)~J4Y '************************************************************************* cvQAo| @j"6f|d parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }KO <II LIrebz ' Delete any z-shift(s) w IP4Z^ count = 0 {5fL!`6w While GetOperationCount(eID)>count DN iH" 0% GetOperation eID, count, op <k0/O If op.Type="ShiftZ" Then mlPvF%Ba DeleteOperation eID,count zkiwFEHA= count=count-1 Abi(1nXdQ End If >_\[C?8 count=count+1 "LSzF_mK Wend 5fMlOP_ 8.>himL 'Set new z-shift pTB7k3g op.Type = "ShiftZ" |fW_9={1kQ op.val1 = tlens [9B1 %W op.parent = parID 0m=57c$O AddOperation eID, op N:okt)q:% Print "Set lens thickness = " & tlens T"aE]4_
RehraY3q '************************************************************************* J .VZD 'Lens index of refraction i]s%tEZ1 '************************************************************************* HOF=qE*p eID = FindMaterial( "Lens" ) jEwt1S V GetModelMaterial eID, mat (,tu7u{ #@xB ?u-0q mat.Nd = nlens ky-nP8L} SetModelMaterial eID, mat 5KDCmw Print "Set lens index of refraction = " & nlens fUGappb H Tv#2WX '************************************************************************* <5,|h3]-# 'Pupil diameter (Q @'fb9z '************************************************************************* QQ_7Q^ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ! nvg:$.& VX82n,'=t 'Adjust pupil diameter (trimming volume inner hole) kN78j Ibu9AwPm SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" %q~q,=H$] t=xEUOQAn ' Adjust pupil location to just in front of the lens E4>}O;m0 parID = FindFullName( "Geometry.Arizona Eye" ) ~;a\S3 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =<#G~8WYz count = 0 RGs7Hc While GetOperationCount(eID)>count ~#jiX6<I GetOperation eID, count, op cJv/)hRaz If op.Type="ShiftZ" Then P tLWFO DeleteOperation eID,count d6ef)mw count=count-1 \@WVeFr End If HZZZ [km count=count+1 \/?J)k3H. Wend 5 7t.Ud op.Type = "ShiftZ" *U]&a^N op.val1 = taq-0.01 3l45(%g+ op.parent = parID lux
g1> AddOperation eID, op R ZQH#+*t} -egnMc67 Print "Set pupil diameter = " & pupilDiam 1}c'UEr%) z<mN-1PM7& 'Update AZ Eye subassembly Description ~59lkr8 eID = FindFullName( "Geometry.Arizona Eye" ) Um6}h@> GetEntity eID, entity 'QxJU$ entity.Description = "Accommodation = " & A & "D" GCq4{_B\Q SetEntity eID, entity X-_VuM_p R:YVmqd Update 8cG`We8l& Print "DONE!" m7g*zu2# i9XpP(mf End Sub LUId<We yDKH;o 如果屈光度是4,光瞳直径是4,则会输出如下数据: Y`(Ri-U4 1 =C12 Accommodation = 4 Diopters NWvIwt{ Pupil Diameter = 4 mm !?0C(VL(: Set aqueous humor thickness = 2.81 n#b{ Set anterior lens radius = 10.4 and conic constant = -2.375869 k]5tU\;Yw Set posterior lens radius = -4.424557 and conic constant = -3.081019 ~{tO8
] Set lens thickness = 3.927 ){w{# Set lens index of refraction = 1.42672 #jrlNg4( Set pupil diameter = 4 _^#eO`4" DONE! 7~XA92 2=n`z)R (文章来源:讯技光电)
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