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简介 =cKk3kJC 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。 Cg\)BHv~ 2u;fT{( 模型 YK+Z0ry W6/p-e5y 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。 "u]Fl+c Uus)2R7 Table 1. AZ眼睛模型的定义 ]:#$6D" 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. __n"DLW 2?nyPqT3AM 光源 IlL #<>E+r+ 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。 COL8YY !skWe~/ Sm_:SF!<D6 图1. 光源和提示信息使用 GQ)cUrXQz 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。 ^yZSCrPGI ^Jpd9KK 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。 .MPOUo/e <0qY8 图2. 字母F光源的设定方法光 VQ;-
dCV ~4` ec 图3. 字母F在视网膜上位置点列图 XUNgt(OGR' 视网膜的散射 vCo}-b-j 3:Egqw 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。 5e8-?w%e so&3A&4cL ZS>/ 5 图4. 视网膜朗伯散射设定 4GejT(U 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。 D.x3@+ p
8Hv7* AG%es0D[H 图5. 视网膜重点采样规格设定 ]b=A/*z 脚本 yXl.Gq>]{ 9>, \QrrH 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: vKLG9ovlY 62'0 )Cy^ 图6. 用户对话框的创建与编辑 {73DnC~N 图7. 用户对话框编辑器 a#**96Av 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。 -;.fU44O[# 余下的脚本计算与屈光度有关的所有参数。 BeCr){,3 >'g60 R[ 分析 Qn cS& 1fp&"K:yR 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 d-&dA_? zMg^2{0L 图7. 字母F在视网膜上颜色分析 )p](*Z^ 脚本代码
0d)n}fm LYKm2C*d Option Explicit 'Remove this to enable non-dimensioned variables to be used. Du4?n8 o ~%q e, Dim entity As T_ENTITY u-cC}DP Dim op As T_OPERATION r2`?Ta Dim mat As T_MODELMATERIAL RS=7W._W Dim A As Double uB! P>v6 Dim pupilDiam As Double F&Z>B}; Dim eID As Long lsxii-#O Dim parID As Long [qo*,CRz Dim count As Integer 8[XNFFUZs Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double a[#BlH Dim tlens As Double, nlens As Double 2)H|/ Dim curv As Double, conic As Double ^U1+D^AJ Dim ok As Long bJvRQrj*3 wIPDeC4 Sub Main xk<0QYv
MQI= '用户输入对话框 DvKMb-*S Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 ba.OjK@ TextBox 220,21,40,21,.TextBox1 'default: 0 o
W [-? Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 *V+fRN4 W OKButton 40,91,90,21 }zLE*b, CancelButton 190,91,90,21 +<#-52br\ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 v7RDoO]I TextBox 220,49,40,21,.TextBox2 'default: 4 z oXF"Nz End Dialog V!4E(sX Dim dlg As UserDialog ijT^gsLL }\*|b@)] ok = Dialog (dlg) 8A=(,)`}9 @bE?WXY If ok=0 Then 'cancel button was pressed JaTW/~ TU Print "Execution cancelled." DtX{0p<T3 End ~Y$1OA8 End If Q0A1N[ e;v2`2z2 'Assign accommodation and pupil diameter & use defaults if field left empty &'j77tqOk If dlg.TextBox1 = "" Then <aS1bQgaU A = 0 'Default accommodation A#{*A Else -A~<IyPt A = CDbl(dlg.TextBox1) -.G0k*[d End If gqamGLK ?z.`rD$}(n If dlg.TextBox2 = "" Then 9w|q':< pupilDiam = 4 'Default pupil diameter O\z%6:'M Else SJmri]4K pupilDiam = CDbl(dlg.TextBox2) A1@a:P= End If 4O'ho0w7 TW$^]u~v Print " " U bXz`i Print "Accommodation = " & A & " Diopters" G%{jU'2 Print "Pupil Diameter = " & pupilDiam & " mm" bjZ?WZr RdjUw#\33b ' Calculate new parameters with accommodation ~5zhK:7c taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness QS_xOQ ' bT |FJ\aC Rant = 12.0 - 0.4*A 'Radius of anterior lens j@f(cRAf# CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens N~_gT
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X Rpost = -5.224557 + 0.2*A 'Radius of posterior lens %\u>%s<9 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens YrX{,YtiX 1{qg@xlj tlens = 3.767 + 0.04*A 'Lens thickness iW)Ou?aS W3#L!&z_wK nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction "7d_$.Z ;F-kE4w 'Adjust parameters to account for accommodation ]v@,>!Wn 7>TG
]& '************************************************************************* NoT oLt\ 'Aqueous thickness (Position of Lens) #N:o)I '************************************************************************* nN:i{t4f eID = FindFullName( "Geometry.Arizona Eye.Lens" ) W0Vjs|/ GetCustomElement eID, entity U-d&q>_@A 4?cg6WJ'6 parID = FindFullName( "Geometry.Arizona Eye" ) L!5HE])<) !!AutkEg> ' Delete any shift(s) in z (plOV) count = 0 BR*U9K|W While GetOperationCount(eID)>count @r<w|x} GetOperation eID, count, op ;NEHbLH#F If op.Type="ShiftZ" Then O-RiDYej DeleteOperation eID,count '?nhpT^ count=count-1 ;C3]( End If QCMF_;aNI count=count+1 W NCd k$ Wend >dO^pDSs *Zln\Sx 'Set new shift in b^1!_1c op.Type = "ShiftZ" ?V+=uTCq op.val1 = taq aO{k-44y op.parent = parID zc_3\N AddOperation eID, op
gBN;j Print "Set aqueous humor thickness = " & taq-0.55 vU_#(jZ I#0$5a},u^ '************************************************************************* iqpy5 'Radius and conic constant of anterior lens hhpH)Bi= '************************************************************************* 4r %NtXAa eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) z`W$/tw" GetConic eID, entity, curv, conic z;LntQZp- !.!Ervi!N SetConic eID, entity, 1/Rant, CCant @jfd.? RK! Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9
HuE'(wQ K.k=\N '************************************************************************* S;=
D/)[mr 'Radius and conic constant of posterior lens tkA '_dcIC '************************************************************************* VrHFM(RNe eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) +%0+ GetConic eID, entity, curv, conic {ES3nCL(8 m$3&r2vgi SetConic eID, entity, 1/Rpost, CCpost FXIQS' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost UGIyNMY { Uh/ ~zu '************************************************************************* yzYPT}t 'Lens thickness (Position of posterior lens surface) &N,c:dNe '************************************************************************* KV Mm<]Z Rh%x5RFFc parID = FindFullName( "Geometry.Arizona Eye.Lens" ) t>^An:xT RszqDm ' Delete any z-shift(s) +<I>]J2 count = 0 `6'fX[j5 While GetOperationCount(eID)>count |]V0sgpoZ GetOperation eID, count, op + ~HL"Vv If op.Type="ShiftZ" Then 7 'N&jI DeleteOperation eID,count zXB.)4T count=count-1 |iU#!+zY End If TRa|}JaI" count=count+1 ,?728pfw Wend hH>t \qKh9 'Set new z-shift !fY'^Ya? op.Type = "ShiftZ" 0 }
uH op.val1 = tlens #49,7OBU op.parent = parID f $R]m2 AddOperation eID, op sdrALl;w| Print "Set lens thickness = " & tlens YajUdpJi ?
3Td>x '************************************************************************* d(<[$3. 'Lens index of refraction [+UF]m%W '************************************************************************* Ft'?43J eID = FindMaterial( "Lens" ) *1|&uE&_R GetModelMaterial eID, mat =5isT !gu#
#MrJ9 mat.Nd = nlens 4vF1 SetModelMaterial eID, mat i.Yz)Bw Print "Set lens index of refraction = " & nlens NLRgL'+F 7xqTTN6h '************************************************************************* dL!PpLR$2 'Pupil diameter #A+ dj|
b '************************************************************************* 26?yEd6^Z eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) N2WQrTA:S+ Eu2@%2}P 'Adjust pupil diameter (trimming volume inner hole) A@4sb
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cyL"?vR*< SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Yv\>\?865 {wVj-w=<W ' Adjust pupil location to just in front of the lens Xgou7x< parID = FindFullName( "Geometry.Arizona Eye" ) \b6H4aQii eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) c"~+Y2]tL count = 0 A&XI1. j6 While GetOperationCount(eID)>count MF69n,(o GetOperation eID, count, op {oOzXc6o If op.Type="ShiftZ" Then 5o- WA1 DeleteOperation eID,count 8`M) r'5 count=count-1 06X4mu{ End If Gf*|f"O count=count+1 jOV,q%)^,: Wend ;W 16Hr Z op.Type = "ShiftZ" k/srT< op.val1 = taq-0.01 YBF|0A{[Y op.parent = parID [TRHcz n AddOperation eID, op ai 0am u)J&3Ah% Print "Set pupil diameter = " & pupilDiam f-$%Ck$%, kzozjh%`9h 'Update AZ Eye subassembly Description Q6%dM'fR eID = FindFullName( "Geometry.Arizona Eye" ) !X5n'1& GetEntity eID, entity I8M^]+c entity.Description = "Accommodation = " & A & "D" },#@q_E SetEntity eID, entity \+3amkBe
<l>o6K Update Y~,ZBl, Print "DONE!" ?Pbh&! LlbRr.wL End Sub x:dI :G U}hQVpP# 如果屈光度是4,光瞳直径是4,则会输出如下数据: Ry_"so w4 n06T6oc Accommodation = 4 Diopters t:$^iUrx Pupil Diameter = 4 mm B\*"rSP\ Set aqueous humor thickness = 2.81 xWR<>Og. Set anterior lens radius = 10.4 and conic constant = -2.375869 9IfeaoZZ4q Set posterior lens radius = -4.424557 and conic constant = -3.081019 T*pcS'?' Set lens thickness = 3.927 \+,%RN. Set lens index of refraction = 1.42672 T'8d|$X Set pupil diameter = 4 Ga,+ DONE! V\|V1c `
b$u w (文章来源:讯技光电)
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