|
|
简介 I4UsDs*BD 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。 u% 1JdEWZd =eDC{/K 模型 Ic&YiATj U%#Vz-r 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。 -y3[\zNe R6z *!W{ Table 1. AZ眼睛模型的定义 jJ2{g> P0P 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. Qn-nO_JL j!;E>`g 光源 Kg /, $`vXI%|. 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 }&s |~ KZ65#UVX Gb"kl.j 图1. 光源和提示信息使用 :8N
by$#V 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。 [{&OcEf ajM\\a? 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。 9j-;-`$S YbZ?["S& 图2. 字母F光源的设定方法光 zc,X5R1 A5%Now;.cf 图3. 字母F在视网膜上位置点列图 E\9HZ;}G 视网膜的散射 LRS,bl3}/ GGZ9DC\{ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 )S#?'gt* )`gxaT>&l ajkpU.6E: 图4. 视网膜朗伯散射设定 2sEG#/Y= 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 !g|[A7<| BPOT!- Y$|KY/)H) 图5. 视网膜重点采样规格设定 5RY-.c4} 脚本 {`>pigo p -!/p# 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: ?a?4;Y! o62GEl25 图6. 用户对话框的创建与编辑 zpNt[F?~1 图7. 用户对话框编辑器 <5h}\5#<j 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。 N?A}WW# 余下的脚本计算与屈光度有关的所有参数。 W55kR.X6M PBL=P+ 分析 ~~p )_ /P/0\3TCi 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 G#E8xA"{/ !SLfAFcS 图7. 字母F在视网膜上颜色分析 2J3y
1 脚本代码 tpgD{BY^wJ <p`
F/p- Option Explicit 'Remove this to enable non-dimensioned variables to be used. U:PtRSdn!b <<@F{B7h Dim entity As T_ENTITY o?#-Tkb Dim op As T_OPERATION V-63 Dim mat As T_MODELMATERIAL $}0\sj% Dim A As Double [8acan+
2l Dim pupilDiam As Double ]\ZmK0q<: Dim eID As Long ^ZBTd5t# Dim parID As Long a'>n'Y~E Dim count As Integer (8N E'd8 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 3_{rXtT)' Dim tlens As Double, nlens As Double H5jk#^FD Dim curv As Double, conic As Double j:^gmZ;J Dim ok As Long l @E
{K| c;#gvE Sub Main 6mxzE3?G (H]NL '用户输入对话框 CRNt5T>qH Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 T*(mi{[T TextBox 220,21,40,21,.TextBox1 'default: 0 >LVGNicQ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 diKl}V#u OKButton 40,91,90,21 /f=31<+MtF CancelButton 190,91,90,21 .lSoC`HE Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 nH+wU;M TextBox 220,49,40,21,.TextBox2 'default: 4 I &%
Z*H End Dialog g-/ }*ml Dim dlg As UserDialog _.m|Ml,`{ @)ls+}=Y ok = Dialog (dlg) og4mLoLA fzN?X= If ok=0 Then 'cancel button was pressed !bn=b>+ Print "Execution cancelled." sP>-k7K. End <(45(6fQ End If +z~bH!$2 VwLo 'Assign accommodation and pupil diameter & use defaults if field left empty .W\x{h If dlg.TextBox1 = "" Then p$Floubh] A = 0 'Default accommodation I 6L3M\+- Else e=[@HVr A = CDbl(dlg.TextBox1) ^--8
cLB
n End If ;[:IC^9fv 6R#igLm If dlg.TextBox2 = "" Then !R[~Z7b6 pupilDiam = 4 'Default pupil diameter Vf$$e) Else qtz~Y~h|> pupilDiam = CDbl(dlg.TextBox2) srS)"Jt End If AO(zl*4 b4(,ls Print " " }E&: Print "Accommodation = " & A & " Diopters" bUuQ"!>ppu Print "Pupil Diameter = " & pupilDiam & " mm" NjO_Y t 8RcLs1n/ ' Calculate new parameters with accommodation @E"lN taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness j.\0p-, CFu^i|7o Rant = 12.0 - 0.4*A 'Radius of anterior lens Wo5%@C#M CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens \9R=fA1 8 _C,9c7K4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 1c*;Lr.K CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 4)p ID` R}D[ z7 tlens = 3.767 + 0.04*A 'Lens thickness ]\/"-Y#4Q $gCN[%+j nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction
cG1iO: T sdgg?# 'Adjust parameters to account for accommodation {f;DhB-jj RW<4", '************************************************************************* UMK9[Iy$<M 'Aqueous thickness (Position of Lens) DbYnd%k*4 '************************************************************************* bicbCC6kC eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #@E:|^$1y GetCustomElement eID, entity I*n]8c f @Vd'k< parID = FindFullName( "Geometry.Arizona Eye" ) mA^3?yj #9{2aRCJ ' Delete any shift(s) in z 4hkyq>c} count = 0 .S]*A b While GetOperationCount(eID)>count hd`jf97* GetOperation eID, count, op jrX`_Y If op.Type="ShiftZ" Then #JN4K>_4 DeleteOperation eID,count /bL L!nD=^ count=count-1 0#~k)>(7lR End If f6{.Uq%SGp count=count+1 7W>(T8K X\ Wend Uz%ynH A.~wgJDO 'Set new shift in }[(v(1j='~ op.Type = "ShiftZ"
6NSSuK3 op.val1 = taq 8EBd`kiq op.parent = parID wn\R|'Rdz AddOperation eID, op sj6LrE=1 Print "Set aqueous humor thickness = " & taq-0.55 s}bLA>~Ta 0 1NP '************************************************************************* ;jBS:k? 'Radius and conic constant of anterior lens S WyJ` '************************************************************************* uavyms^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) bgkBgugZhX GetConic eID, entity, curv, conic
N1"bH~ t$?#@8Yk SetConic eID, entity, 1/Rant, CCant }'Ph^
%ox Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant o'8%5M@ 7G0;_f{ '************************************************************************* zjzEmX 'Radius and conic constant of posterior lens Fl}!3k>c '************************************************************************* G2b"R{i/, eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ja(ZJ[<` GetConic eID, entity, curv, conic j]aIJbi {Z178sik SetConic eID, entity, 1/Rpost, CCpost b~(S;1NS' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost IYa(B+nB) _,igN> '************************************************************************* fUZCP*7> 'Lens thickness (Position of posterior lens surface) MPF({Pnx7 '************************************************************************* +fq\K] yw1Xxwc parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,fo7.
h4{ OF:0jOW
' Delete any z-shift(s) v9(N}hoP count = 0 bfkFk While GetOperationCount(eID)>count -OnKvpeI GetOperation eID, count, op ?~cO\(TY[" If op.Type="ShiftZ" Then `'gcF}); DeleteOperation eID,count qOa*JA` count=count-1 w{N8Y~O End If 9fOE. count=count+1 L=P8; Gj) Wend ^==Tv+T9U %Z8pPH~T 'Set new z-shift ?v'CuWS op.Type = "ShiftZ" CIRMAX op.val1 = tlens IoV"t, op.parent = parID 5glEV`.je AddOperation eID, op e)3Mg^ Print "Set lens thickness = " & tlens G;USVF-'K dP#7ev]'
'************************************************************************* ZT`"
{#L 'Lens index of refraction p0}Yo8? OW '************************************************************************* ,'sDauFn eID = FindMaterial( "Lens" ) MYR\W*B'b GetModelMaterial eID, mat h]IoH0/ kV3LFPf>0 mat.Nd = nlens A;f)`i0l, SetModelMaterial eID, mat S&;)F|-q Print "Set lens index of refraction = " & nlens $#wi2Ve=6b = \K/ulZo '************************************************************************* a
FWTm,) 'Pupil diameter ::3[H$ '************************************************************************* 4`7~~:W!M5 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ETR7%0$r hqwsgJ
'Adjust pupil diameter (trimming volume inner hole) &v9"lR=_k 0rif,{" SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ^}:0\;|N YF %]%^n ' Adjust pupil location to just in front of the lens {xP-p"?p parID = FindFullName( "Geometry.Arizona Eye" ) jP<6Q|5F eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) E;"VI2F count = 0 u!fZ>kS While GetOperationCount(eID)>count W&m3"~BJ GetOperation eID, count, op mXsSOAD< If op.Type="ShiftZ" Then x_l8&RIB* DeleteOperation eID,count w[G-=>; count=count-1 #kJ8 qN End If R1.Yx? count=count+1 ]n$ v ^ Wend rERtOgi op.Type = "ShiftZ" Lf{pTxKr op.val1 = taq-0.01 CM`Q(( op.parent = parID kpk ^Uw%f AddOperation eID, op r8A'8g4cM R80|q#h,] Print "Set pupil diameter = " & pupilDiam TBHd)BhI. DnN+W 'Update AZ Eye subassembly Description ol_&epG;ST eID = FindFullName( "Geometry.Arizona Eye" ) K5(T7S GetEntity eID, entity -7 EwZRS@9 entity.Description = "Accommodation = " & A & "D" 472'P SetEntity eID, entity P)ne^_
z3w;W{2Q;V Update [y<s]C6E Print "DONE!" ]0{,P
! Z(J
1A x End Sub Exat_ L'? \`8F.oZ^) 如果屈光度是4,光瞳直径是4,则会输出如下数据: ]!@!qp@ gUp9yV Accommodation = 4 Diopters ubsx NCqD Pupil Diameter = 4 mm XU}" h&> Set aqueous humor thickness = 2.81 UG6\OgkL+ Set anterior lens radius = 10.4 and conic constant = -2.375869 #O'g*]j Set posterior lens radius = -4.424557 and conic constant = -3.081019 O /h1ew Set lens thickness = 3.927 BpF}H^V- Set lens index of refraction = 1.42672 EE qlsH Set pupil diameter = 4 9Lqz:4} DONE! [c99m:*+ g~OG~g@ (文章来源:讯技光电)
|