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简介 #{BHH;J+ TppuEC> 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。 5m]N%{<jAB R]! [h 模型 6SGV}dAx Adma~]T9 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。 ?8GggJC ^f%hhpV@ Table 1. AZ眼睛模型的定义 GWvw<`4 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. Y%1 94fY$ Sd |=*X 光源 _P{f+HxU +M=`3jioL 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。 4Nun-(q S4hv7.A ,|RN?1 ?U 图1. 光源和提示信息使用 wJ%;\06 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。 fR$_=WWN>h
MOia]5 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。 R ~ZcTY[8 J^V}%N". 图2. 字母F光源的设定方法光 @/,:".
SM K8bKTG \ 图3. 字母F在视网膜上位置点列图 rLpfybu 视网膜的散射 $Vp*,oRL b$;qtfJG 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。 }NJKkj? :*} -,{uX \}Al85 图4. 视网膜朗伯散射设定 MO>9A,&f 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。 T T@U_^o n
"bii7h jP{&U&!i 图5. 视网膜重点采样规格设定 ,r8#-~A6,A 脚本 48IrC_0j %vil~NU 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: re~T,PPM vc0LV'lmg 图6. 用户对话框的创建与编辑 Vak\N)=u 图7. 用户对话框编辑器 M>_vsI^I' 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。 AU1U?En 余下的脚本计算与屈光度有关的所有参数。 )_YB8jUR-X W#P`Y < u$ 分析 )dd1B>ej] )qRH?Hsb7 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 RH.qbPjx |A/H*J, 图7. 字母F在视网膜上颜色分析 '451H3LC0 脚本代码 byFO^pce ]"&](e6* Option Explicit 'Remove this to enable non-dimensioned variables to be used. &|<f|BMX {h=gnR-9 Dim entity As T_ENTITY z2>LjM)
# Dim op As T_OPERATION <5?pa3 Dim mat As T_MODELMATERIAL NS65F7<& Dim A As Double * bd3^mP Dim pupilDiam As Double R
RE8|%p;B Dim eID As Long jsQHg2Vd Dim parID As Long au04F]-|j8 Dim count As Integer QtwQVOK Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double b[GhI+_ Dim tlens As Double, nlens As Double ?G5,}% Dim curv As Double, conic As Double M.K^W ` Dim ok As Long c"v75lW-J i!zFW-*5 Sub Main )S
7+y6f&* ^nK<t?KS '用户输入对话框 3 3|t5Ia Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 (-g*U# TextBox 220,21,40,21,.TextBox1 'default: 0 MoE&)~0u& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 &iInru3 OKButton 40,91,90,21 SIV !8mz CancelButton 190,91,90,21 :{2~s Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 -?-XO<I TextBox 220,49,40,21,.TextBox2 'default: 4 ujRXAN@mC End Dialog !(rAI Dim dlg As UserDialog p_h/hTi B
ytx.[zbX ok = Dialog (dlg) ejlns
~ VD~5]TQ If ok=0 Then 'cancel button was pressed !JDr58 Print "Execution cancelled." ~x^y5[5{ End *^uK=CH1?( End If )Cl>% 9 B=!!R]dxA 'Assign accommodation and pupil diameter & use defaults if field left empty Xj
1Oxm42 If dlg.TextBox1 = "" Then dMH_:jb A = 0 'Default accommodation ' @RF Else Jv8:GgSg A = CDbl(dlg.TextBox1) [zx|3wWAX- End If &t^*0/~ =I`S7oF If dlg.TextBox2 = "" Then $<v4c5r]O pupilDiam = 4 'Default pupil diameter [(heE
Else XI\Slq pupilDiam = CDbl(dlg.TextBox2) >$JE!.p%o End If hOwb
]SCHni_ Print " " ENZym Print "Accommodation = " & A & " Diopters" S=_u3OH0 Print "Pupil Diameter = " & pupilDiam & " mm" V: D;?$Jl '#7k9\ ' Calculate new parameters with accommodation Uj7YTB taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ij$NTY=u `;j1H<L Rant = 12.0 - 0.4*A 'Radius of anterior lens TcaW'&(K CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens X5iD<Lh gw)4P tb! Rpost = -5.224557 + 0.2*A 'Radius of posterior lens /x??J4r0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 93]63NY K,g6y#1" tlens = 3.767 + 0.04*A 'Lens thickness rRRh-%.RU ^*}D*=>\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction C~h#pAh 3N_KNW 'Adjust parameters to account for accommodation OkciL] i{fw?))+ '************************************************************************* @&m [w'tn 'Aqueous thickness (Position of Lens) ".>#Qp% '************************************************************************* !0l|[c4 e> eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 2H`r:x<Z- GetCustomElement eID, entity :zU4K=kR BbX$R`f parID = FindFullName( "Geometry.Arizona Eye" ) >GIQT?O6 TgcCR:eL= ' Delete any shift(s) in z D9g*+KM& count = 0 96\FJHtZ While GetOperationCount(eID)>count j0L%jz GetOperation eID, count, op < dE7+w If op.Type="ShiftZ" Then vE[d& b[ DeleteOperation eID,count Z2W&_(^.h count=count-1 W>' DQB End If :7(fBf5 count=count+1 F[coa5 Wend bmHj)^v5] k
x:+mF 'Set new shift in 2_Lu0Yrg op.Type = "ShiftZ" w8+phN(-M op.val1 = taq IYe[IHny1 op.parent = parID *fY*Wy9 AddOperation eID, op pp|$y\ZzB Print "Set aqueous humor thickness = " & taq-0.55 @[D5{v)S iw.F8[}) '************************************************************************* Z&@P< 'Radius and conic constant of anterior lens &x (D%+ '************************************************************************* <DMm
[V{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #}1yBxB<= GetConic eID, entity, curv, conic 9|jMN
j]vo )l*3^kwL{U SetConic eID, entity, 1/Rant, CCant Z2;~{$&M+ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant rxxVLW 9a:(ab' '************************************************************************* -Nr*na^H9# 'Radius and conic constant of posterior lens -4Q\FLC'k '************************************************************************* DW,Z})9 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) >d;U>P5. GetConic eID, entity, curv, conic auB+ g'l U*EBH SetConic eID, entity, 1/Rpost, CCpost U4"&T,'lTL Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost L{ej<0 yr -{oZK{a1 '************************************************************************* $5#DU__F/ 'Lens thickness (Position of posterior lens surface) 8VpmcGvc3 '************************************************************************* (\'lV8}U tPk>hzW parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 'K23oQwDB fHuWBC_YO ' Delete any z-shift(s) U[pR`u count = 0 DLq'V.M: While GetOperationCount(eID)>count v/7^v}[< GetOperation eID, count, op dF&@q, If op.Type="ShiftZ" Then jlyuu DeleteOperation eID,count ;iN[du count=count-1 i:&$I= End If =FAIbM>u count=count+1 {H=<5 Wend H-%
B<7 ;e2D} 'Set new z-shift 'O
7>w%# op.Type = "ShiftZ" s?9`dv}P op.val1 = tlens z
wn#E op.parent = parID qnU`Q{ AddOperation eID, op wF-H{C' Print "Set lens thickness = " & tlens IR8qFWDZ e[QEOx/-h2 '************************************************************************* 5^{2g^jH6 'Lens index of refraction z>*\nomOn= '************************************************************************* (
_MY;S eID = FindMaterial( "Lens" ) 7Xh
;dJAF3 GetModelMaterial eID, mat Gl4f:` [KEw5-=i@ mat.Nd = nlens z|<?=c2P SetModelMaterial eID, mat !#4b#l(e6 Print "Set lens index of refraction = " & nlens \XbCJJP m&--$sr '************************************************************************* G,b*Qn5# 'Pupil diameter DH])Q5 '************************************************************************* 4SIS#m eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) <,t6A?YoMP 5[`f(; 'Adjust pupil diameter (trimming volume inner hole) 6^ ,;^ nYTPcT4x| SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" EuKkIr/( 1 l-Y)
' Adjust pupil location to just in front of the lens 'Z6x\p parID = FindFullName( "Geometry.Arizona Eye" ) 5?>ES* eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) =AX"'q count = 0 nx5I While GetOperationCount(eID)>count tf>"fU\P GetOperation eID, count, op N@I=X-7nh| If op.Type="ShiftZ" Then Eu[/* t+l DeleteOperation eID,count OyIIJ!( count=count-1 O-n JuZJgX End If G54`{V4&s count=count+1 V=H :`n3k Wend }`+9ie7]/ op.Type = "ShiftZ" 3qy4nPg op.val1 = taq-0.01 ]3L/8]: op.parent = parID ULzrJbP'7 AddOperation eID, op a[E}o<{ >LW}N!IBy Print "Set pupil diameter = " & pupilDiam f%rZ2h) c-ql 'Update AZ Eye subassembly Description ]$I}r=
Em eID = FindFullName( "Geometry.Arizona Eye" ) YRU95K[ GetEntity eID, entity m{r#o? entity.Description = "Accommodation = " & A & "D" cVDcda|PE SetEntity eID, entity <,y> W! ZKai*q4? Update =X7_!vSv Print "DONE!" xL"O~jTS k`J|]99Wb End Sub kq@~QI?9 S1U[{R?, 如果屈光度是4,光瞳直径是4,则会输出如下数据: zpZfsn! @4n>I+6*& Accommodation = 4 Diopters #\\|:`YV Pupil Diameter = 4 mm z7TyS.z Set aqueous humor thickness = 2.81 *q+X?3 Set anterior lens radius = 10.4 and conic constant = -2.375869 A#Y:VavQ? Set posterior lens radius = -4.424557 and conic constant = -3.081019 [pInF
Qh6 Set lens thickness = 3.927 %< `D'V@ Set lens index of refraction = 1.42672 uaZHM@D Set pupil diameter = 4 U>DCra; DONE! gFsqCx<q }_5 R9w]" Fm*npK QQ:2987619807 'xEK0~awD
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