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简介 JGk3b=K Z#OhYm+y 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。 qLQ <1>u o[bE 模型 {uaZ<4N. 0|fb< " 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。 <fC@KY># G%P>Ag Table 1. AZ眼睛模型的定义 VxkCK02k 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. PcHSm/d0e u0bfX,e2U 光源 V-KL% nabBU4;h 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。 A9\]3 LY fBf4]^ _pz,okO[V 图1. 光源和提示信息使用
JmU<y 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。 heE}_,$| !US8aT 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 >lD;0EN h4hN1<ky\ 图2. 字母F光源的设定方法光 K3vseor z-EwXE 图3. 字母F在视网膜上位置点列图 w5F4"nl#O} 视网膜的散射 ]{f^;y8 <Rcu%&;i 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 s<[A0=LH *4<4 o"rq/\ovv 图4. 视网膜朗伯散射设定 K0w<[CO 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 [[:UhrH- f4]N0 s kN9O"^A 图5. 视网膜重点采样规格设定 "+=Pp 脚本 )y9 ;OA "$XYIuT 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: {Ge+O<mD
ifXW 图6. 用户对话框的创建与编辑 0U$:>bQ 图7. 用户对话框编辑器 QBy{|sQ` 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。 ,N53Iic 余下的脚本计算与屈光度有关的所有参数。 2t+D8 d|c< )PR3s1S^ 分析 x^A7'ad0 >[ eW">:>K 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ze`1fO|% J,f/fPaf7 图7. 字母F在视网膜上颜色分析 9<yAQ?7L 脚本代码 )uZoH8? f|OI` Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^:`oP"%-T QE|`&~sme Dim entity As T_ENTITY !c% Dim op As T_OPERATION 9YB2e84j Dim mat As T_MODELMATERIAL 9B
/s Dim A As Double A (Bk@; Dim pupilDiam As Double cv}aS_`f Dim eID As Long tR kF
Dim parID As Long 8{dEpV* Dim count As Integer !O|ql6^; Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double XAe\s` Dim tlens As Double, nlens As Double 2
P=[ Dim curv As Double, conic As Double pz{'1\_+9 Dim ok As Long bmu6@jT L>dkrr)e Sub Main yL6^\x `ncNEHh7K '用户输入对话框 6^)rv-L~5y Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )l&D]3$6K TextBox 220,21,40,21,.TextBox1 'default: 0 %SAw;ZtQ: Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4o<*PPA1 OKButton 40,91,90,21 (Yv{{mIy CancelButton 190,91,90,21 qj&bo Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 C5|db{=\.* TextBox 220,49,40,21,.TextBox2 'default: 4 +Mk#9r End Dialog v5_7r%Hiw Dim dlg As UserDialog l
_+6=u HTV ~ ?E ok = Dialog (dlg) #02Kdo&Vy t2-
^-g6 If ok=0 Then 'cancel button was pressed ldGojnS Print "Execution cancelled." q*,Q5 End |~WYEh End If t6+YXjXK >c4/?YV 'Assign accommodation and pupil diameter & use defaults if field left empty [:iv4>ZZ If dlg.TextBox1 = "" Then 44\cI]!{ A = 0 'Default accommodation /.Fj.6U5 Else v!9i"@<! A = CDbl(dlg.TextBox1) dH\XO-Z7v End If 5{d\uE%'p @5.e@]>ZM If dlg.TextBox2 = "" Then 5r b-U7 / pupilDiam = 4 'Default pupil diameter sYqgXE. Else <_Eg?ePW# pupilDiam = CDbl(dlg.TextBox2) :P$#MC End If P`S@n/} 2C$R4:Ssw) Print " " Ts9ktPlm Print "Accommodation = " & A & " Diopters" x&Cp> +i Print "Pupil Diameter = " & pupilDiam & " mm" N2ied^* 0 d,0 }VaY=D ' Calculate new parameters with accommodation Zp&@h-%YoD taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness (gwj)?: s
=Umj'1k Rant = 12.0 - 0.4*A 'Radius of anterior lens eS'yGY0b CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens vi!YN|}\ S{#cD1>. Rpost = -5.224557 + 0.2*A 'Radius of posterior lens FY'ty@|_s CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens t
P"\J(x w8Vw1wW tlens = 3.767 + 0.04*A 'Lens thickness Wh(
|+rJ?Z ~6aCfbu%V nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction D\1k.tI 2&Jdf 'Adjust parameters to account for accommodation %0,-.(h [q*%U4qGO '************************************************************************* FS"eM"z 'Aqueous thickness (Position of Lens) p`F9Amb '************************************************************************* uuNR?1fS eID = FindFullName( "Geometry.Arizona Eye.Lens" ) WC,+Cn e GetCustomElement eID, entity =JS;;PzX[ C/=XuKE-t parID = FindFullName( "Geometry.Arizona Eye" ) vUA0FoOp VZy4_v= ' Delete any shift(s) in z
d$W count = 0 HYK!}& While GetOperationCount(eID)>count *Dmx&F=3,5 GetOperation eID, count, op "*z_O If op.Type="ShiftZ" Then K_/zuTy DeleteOperation eID,count _oFs #kW count=count-1 52_# End If Q=uR Kh count=count+1 1ocJ+ Wend G:W>I=^DaR @n&<B`/ 'Set new shift in $wB^R(f@ op.Type = "ShiftZ" (X[CsaXt op.val1 = taq 5O/i3m26 op.parent = parID MJ`3ta AddOperation eID, op en F :>H4 Print "Set aqueous humor thickness = " & taq-0.55 bzN-*3YE= .7NNT18 '************************************************************************* '8 Ztj 'Radius and conic constant of anterior lens nmU_N:Y '************************************************************************* a:,y
Z eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) I6!5Yj]O" GetConic eID, entity, curv, conic bx4'en# !4"^`ors$ SetConic eID, entity, 1/Rant, CCant }n_p$g[Nj/ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant wC_l@7t I<td1Y1q '************************************************************************* %+>s#Q2d 'Radius and conic constant of posterior lens @Ky> 9m{ '************************************************************************* b2,mCfLsv eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $2^`Uca GetConic eID, entity, curv, conic (>4aibA'P 2&PPz}Sw SetConic eID, entity, 1/Rpost, CCpost 51C2u)HE Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost <h).fX [#Lc]$ '************************************************************************* OLGBt 'Lens thickness (Position of posterior lens surface) xT&(n/ '************************************************************************* D4Al3fe =]`lN-rYw parID = FindFullName( "Geometry.Arizona Eye.Lens" ) }v9\F-0>Q w%AcG~`j!B ' Delete any z-shift(s) M->*{D@a count = 0 '^BV_ QQ While GetOperationCount(eID)>count H=*5ASc GetOperation eID, count, op aprm0:Q^ If op.Type="ShiftZ" Then U[L9*=P; DeleteOperation eID,count u]NZ`t%AP count=count-1 bzDIhnw End If =gfI!w count=count+1 Ho DVn/lr Wend ?\KM5^eX 9SlNq05G7 'Set new z-shift H1GRMDNXOA op.Type = "ShiftZ" D4eTTfQ op.val1 = tlens wbDM5% op.parent = parID NjPDX>R\K AddOperation eID, op a,F&`Wg Print "Set lens thickness = " & tlens ;*ix~taL% |7,L`utp '************************************************************************* e^4 p% 'Lens index of refraction >Rvx[`|O!m '************************************************************************* [ EFMu;q eID = FindMaterial( "Lens" ) fO'Wj`&a GetModelMaterial eID, mat D|Iur W1f {oc igR0 mat.Nd = nlens 73{'kK SetModelMaterial eID, mat ^ -FX Print "Set lens index of refraction = " & nlens
Ol"3a| ZyOv.,y '************************************************************************* 8[r9HC 'Pupil diameter J
PyOG_h '************************************************************************* ,B4VT 96* eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) }X
GEX:1K oH0X<' 'Adjust pupil diameter (trimming volume inner hole) M/x >51< JN^&S SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" j!7`] <YA&Dr3OD ' Adjust pupil location to just in front of the lens N#lDW~e' parID = FindFullName( "Geometry.Arizona Eye" ) &g2 Eptx# eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
!fBF|*/ count = 0 p!]6ll^ While GetOperationCount(eID)>count hcVJBK GetOperation eID, count, op yc|VJ2R* If op.Type="ShiftZ" Then $^u}a DeleteOperation eID,count vR0];{ count=count-1 8Ll[ fJZA End If pg]BsJN count=count+1 ]9}HEu;1M Wend =rdY
@ op.Type = "ShiftZ" Ii7QJ:^ op.val1 = taq-0.01 dU\%Cq-G) op.parent = parID iU6Gp-<M, AddOperation eID, op |ZodlYF qV5DW0. Print "Set pupil diameter = " & pupilDiam s1|/S\ pJN$ { 'Update AZ Eye subassembly Description ,=?{("+ eID = FindFullName( "Geometry.Arizona Eye" ) _gKe%J& GetEntity eID, entity XeBP`\>Ve entity.Description = "Accommodation = " & A & "D" OL_{_K(w SetEntity eID, entity $}")1|U,X lL]y~u Update T~h5B(J; Print "DONE!" GUsl PnG }|%eCVB End Sub 4v[~r1!V [ sd;`xk 如果屈光度是4,光瞳直径是4,则会输出如下数据: {'16:dTJ }I`a`0/ Accommodation = 4 Diopters [r/k% < Pupil Diameter = 4 mm 5NJ4 Set aqueous humor thickness = 2.81 oD}uOC}FS{ Set anterior lens radius = 10.4 and conic constant = -2.375869 ]Qm]I1P Set posterior lens radius = -4.424557 and conic constant = -3.081019 NBb6T
V}j Set lens thickness = 3.927 bQ|V!mrN} Set lens index of refraction = 1.42672 +cU>k} Set pupil diameter = 4 ?5kHa_^ DONE! 1Bxmm# u&wiGwF[ ,vW:}&U QQ:2987619807 +H$!a
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