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简介 E4r.ky`#~ b
vRB 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。 ]BfS270 fYB*6Xb,w 模型 r?pZ72q }S */b1 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。 X]!D;7^ P[FV2R~ Table 1. AZ眼睛模型的定义 }%$OU = T 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. C`NmZwL qEQAn/& 光源 )7dEi+v52 ?eV_ACpZ8 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。 +%XnMl K\(6rS}N o&z!6"S< 图1. 光源和提示信息使用 %G[/H.7s- 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。 .xl.P7@JJ L+.H z&*@ 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。 )t%h[0{{ F.?01,J=1 图2. 字母F光源的设定方法光 F+ukAT
s]Gd-j 图3. 字母F在视网膜上位置点列图 hbI;Hd 视网膜的散射 Efx=T$%^& `*aBRwvK~ 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。 t`YWwI. ,[X_]e;
O9^T3~x[V 图4. 视网膜朗伯散射设定 .x-J44i@/ 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。 _R^y\1Qu ^"x<)@X X?/Lz;,& 图5. 视网膜重点采样规格设定 Z5B/|{ 脚本 L^FcS\r; ?Vc0) 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: 9i=B g1{/ 5{XI 图6. 用户对话框的创建与编辑 "|t!7hC 图7. 用户对话框编辑器 G;s"h%Xw98 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。 =K(JqSw+M 余下的脚本计算与屈光度有关的所有参数。 8sg|MWSU ?3q@f\fZ 分析 '#D8*OP^ !D:Jbt@R<n 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 0%<+J;'o q]FBl}nwl% 图7. 字母F在视网膜上颜色分析 GeV+/^u 脚本代码 eT[&L @l]b F*` t"7Lm Option Explicit 'Remove this to enable non-dimensioned variables to be used. x[X`a 0V`[Zgf Dim entity As T_ENTITY I[D8""U Dim op As T_OPERATION ER^QV(IvP8 Dim mat As T_MODELMATERIAL #U ASH& Dim A As Double E\M-k\cSj Dim pupilDiam As Double $1Z6\G O Dim eID As Long e2w&&B- Dim parID As Long HBiBv-=, Dim count As Integer mgQIhXH5L Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Ef@,hX Dim tlens As Double, nlens As Double 5 1dSFr<# Dim curv As Double, conic As Double Ri)uq\E/# Dim ok As Long vt1lR5 uMmXs%9T Sub Main x({C(Q'O
*Y6xvib9* '用户输入对话框 L/Vx~r`P Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2@khSWV TextBox 220,21,40,21,.TextBox1 'default: 0 ke%pZ7{u Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 F)Oe9x\/ OKButton 40,91,90,21 :O-1rD CancelButton 190,91,90,21 F9flSeN Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %J~WC$=Qv TextBox 220,49,40,21,.TextBox2 'default: 4 pqR\>d0 End Dialog m3.sVI0I Dim dlg As UserDialog -VT+O+9_A gfg n68k ok = Dialog (dlg) 9 OT,TpA igC_)C^i> If ok=0 Then 'cancel button was pressed 9Q.#\ Print "Execution cancelled." L,LNv End 6b=q-0yj End If Vba.uKNjk UE"GJt`I 'Assign accommodation and pupil diameter & use defaults if field left empty ae+*=, If dlg.TextBox1 = "" Then $}o
b,i^W A = 0 'Default accommodation -{jdn%Y7CK Else F]+~x/! A = CDbl(dlg.TextBox1) y2|R.EU\m< End If R 94^4I ?cy4&]s If dlg.TextBox2 = "" Then `{Tk@A_yd pupilDiam = 4 'Default pupil diameter K8I$]M Else `[fxyg:u pupilDiam = CDbl(dlg.TextBox2)
fV\]L4% End If rS8 w\`_ B.dT)@Lx0 Print " " :iF%cy. Print "Accommodation = " & A & " Diopters" # Su~`] Print "Pupil Diameter = " & pupilDiam & " mm" gVR@&bi7 +&=?BC}L9^ ' Calculate new parameters with accommodation WyhhCR=; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness B&?sF" Y {*m ?Kc7k Rant = 12.0 - 0.4*A 'Radius of anterior lens $ &UZy|9 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens PkuTg"; 60>.ul2 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens }^kL|qmjR CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Cb;WZ3HR 9pKGr@ & tlens = 3.767 + 0.04*A 'Lens thickness #]Y>KX2HG F>hZ{ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction q(M:QWA q jM)C4ii.-$ 'Adjust parameters to account for accommodation cmwPuK$ eD?3"!c! '************************************************************************* 9ooY?J 'Aqueous thickness (Position of Lens) dtt ~ Bd '************************************************************************* ?Bi*1V<R eID = FindFullName( "Geometry.Arizona Eye.Lens" ) muON>^MbC GetCustomElement eID, entity D<$XyP $A_]:qI2 parID = FindFullName( "Geometry.Arizona Eye" ) V9NTs8LKc i5}4(sV ' Delete any shift(s) in z *iA4:EIP count = 0 \*t~==WB While GetOperationCount(eID)>count $.%rAa_H GetOperation eID, count, op !^c@shLN4 If op.Type="ShiftZ" Then l! bv^ DeleteOperation eID,count ]b?9zeT*'l count=count-1 k(VB+k"3 End If s@4nWe count=count+1 e.d
#wyeX Wend Hh;:`;}
o+B:#@9? 'Set new shift in T#@lDpO op.Type = "ShiftZ" WiL2 op.val1 = taq `_ %S op.parent = parID cf_|nL#9 AddOperation eID, op U&Wwyu:4i
Print "Set aqueous humor thickness = " & taq-0.55 CTa#Q, B5%n(,Lx '************************************************************************* jhgX{xc 'Radius and conic constant of anterior lens T4/fdORS '************************************************************************* T=f|,sK +7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ga>uFb}W~ GetConic eID, entity, curv, conic CBYX] oTjyN\?H SetConic eID, entity, 1/Rant, CCant ;h=*!7:
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <yA}i"-1W :'L2J '************************************************************************* zdl%iop3e 'Radius and conic constant of posterior lens 6Q&r0>^{ '************************************************************************* hOv={: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) qVqRf.-\ GetConic eID, entity, curv, conic xiF7}]d+ ( lm&*tKm SetConic eID, entity, 1/Rpost, CCpost /'2O.d0}. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ^jB8Q Psur a$: '************************************************************************* DhLqhME53 'Lens thickness (Position of posterior lens surface) 6d[_G$'nk '************************************************************************* ,fDEz9-, ~[o4a ' parID = FindFullName( "Geometry.Arizona Eye.Lens" ) _ZB\L^j) \`V$
'B{. ' Delete any z-shift(s) Di_2Plo)4 count = 0 -ezY= 0Q& While GetOperationCount(eID)>count F7L &=K$2y GetOperation eID, count, op -{XRA6 If op.Type="ShiftZ" Then thi1kJ`L DeleteOperation eID,count |'ln?D:& count=count-1 5<pftTcZ End If 5vAf7\* count=count+1 u=F+(NE" Wend hf/2vt
m []R? ViG 'Set new z-shift /M~!sPW&? op.Type = "ShiftZ" Zv_.na/^K op.val1 = tlens ,
^F)L| op.parent = parID |s#'dS; AddOperation eID, op UUKP" Print "Set lens thickness = " & tlens #PDf,^ NgCuFL(Ic '************************************************************************* Yb i%od& 'Lens index of refraction W!blAkM%i '************************************************************************* uJHu>M}~ eID = FindMaterial( "Lens" ) X:a`B(@S GetModelMaterial eID, mat YIt& > (6CN/A{qe mat.Nd = nlens Rgo rkZlVM SetModelMaterial eID, mat ,mS/h~-5n Print "Set lens index of refraction = " & nlens <e]Oa$ P7ph}mB '************************************************************************* P&d"V< 'Pupil diameter Q-Ux<# '************************************************************************* %<?0apO eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FlfI9mm I$NhXZ)KT 'Adjust pupil diameter (trimming volume inner hole) k%wn0Erd oRKEJNps SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" .@-9'<K?~ 6iEhsL&K ' Adjust pupil location to just in front of the lens `nKH"TaX parID = FindFullName( "Geometry.Arizona Eye" ) KfBTL!0# eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) YSJy` count = 0 IKMeJ(:S While GetOperationCount(eID)>count id<:p*
GetOperation eID, count, op +X`V|E,no If op.Type="ShiftZ" Then ANIz,LS DeleteOperation eID,count ^_5L"F]sP count=count-1 IM$2VlC End If #po5_dE\* count=count+1 zWpqJK Wend FJ*i\Q/D op.Type = "ShiftZ" 1Gt/Tq$_b op.val1 = taq-0.01 {7cX#1 op.parent = parID )&era` e[ AddOperation eID, op P o jmC n .!Ym
X4 Print "Set pupil diameter = " & pupilDiam |9"p|6G?B Eh-n 'Update AZ Eye subassembly Description `c/*H29 eID = FindFullName( "Geometry.Arizona Eye" ) 6.5T/D*TT GetEntity eID, entity dC=)^( entity.Description = "Accommodation = " & A & "D" *5zrZ]^ SetEntity eID, entity !zPG?q]3 Lb{e,JH Update 2j(h+?N7k Print "DONE!" nd;fy$<J\ ,f}UGd[a End Sub -",=G\XZ vA$o~?a]/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: K =.%$A r1ws1 rr= Accommodation = 4 Diopters S$f6a' Pupil Diameter = 4 mm J--m[X Set aqueous humor thickness = 2.81 h8\
T Set anterior lens radius = 10.4 and conic constant = -2.375869 [Q\GxX. Set posterior lens radius = -4.424557 and conic constant = -3.081019 r ]W Set lens thickness = 3.927 ?[*0+h`en Set lens index of refraction = 1.42672 `cx]e Set pupil diameter = 4 U yw-2]!n DONE! '(f/~"9B
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