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简介 $dP)8_Z2 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 gQuw|u !I[n|r " 模型 #%9]Lq
YBD {l 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 UTQKlwPa Q:gn>/ Table 1. AZ眼睛模型的定义 xp&!Cl>C3\ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Xa@wN/"F 7LwS =yP 光源 /[ ? F1Q Q:O>k CDV 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 NVeRn qDM[7q3. ~
ZL`E 图1. 光源和提示信息使用 rk/
c 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 5}xni 0Qp'} _ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ^\&g^T% Yp]G)}'R 图2. 字母F光源的设定方法光 (nD$%/uK' }+4Bf+u: 图3. 字母F在视网膜上位置点列图 b0b9#9x 视网膜的散射 qb4;l\SfT B)]{]z0+` 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。 k|3(dXLG g/,Bx!'8p i=UTc1 图4. 视网膜朗伯散射设定 aNC,ccm 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。 ocqB-C] L"h@`3o| lK,=`xe 图5. 视网膜重点采样规格设定 `b ")Bx| 脚本 dB+GTq=6f p@Y$e Z:O 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: c^Jgr(Ow fq'Xy9L 图6. 用户对话框的创建与编辑 lo UwRz 图7. 用户对话框编辑器 CQHp4_ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 C9U{^ 余下的脚本计算与屈光度有关的所有参数。 rz}l<t~H '[ g)v 分析 D}/=\J/ Q|B|#?E== 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Q 95 Ccr+SR2 图7. 字母F在视网膜上颜色分析 Qf-k&d 脚本代码 ~}IvY?!; %<C
G|]W Option Explicit 'Remove this to enable non-dimensioned variables to be used. 6IY}SI0N Ui|a}`c Dim entity As T_ENTITY zrU$SWU Dim op As T_OPERATION Bdq"6SK> Dim mat As T_MODELMATERIAL ]Ec[")"kT Dim A As Double StZRc\k Dim pupilDiam As Double j]B$(pt Dim eID As Long >?9 WeXG Dim parID As Long e#6&uFce Dim count As Integer o`K^Wy~+k# Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double UW/3{2 Dim tlens As Double, nlens As Double R;E"Qdt Dim curv As Double, conic As Double Gr#rM/AfCK Dim ok As Long jqGo-C~ ^?X ^+ Sub Main JNFT6T)T15 UI<PNQvo9 '用户输入对话框 CoUd16*"JM Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 wEfz2Eq TextBox 220,21,40,21,.TextBox1 'default: 0 ]EM)_ :tRf Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 H@2v<e@ OKButton 40,91,90,21 %V %#y $l CancelButton 190,91,90,21 r$r&4dY Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 bN4&\d*u# TextBox 220,49,40,21,.TextBox2 'default: 4 B!r48<p End Dialog 0"kE^= Dim dlg As UserDialog loC5o|Wh f_4S>C$ ok = Dialog (dlg) ^KZAYB9C dx13vZ3[U If ok=0 Then 'cancel button was pressed <Sprp]n
7 Print "Execution cancelled." F/h :&B:; End n.a=K2H:V End If => uVp bL'# 'Assign accommodation and pupil diameter & use defaults if field left empty [^U; If dlg.TextBox1 = "" Then
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7BF+*T A = 0 'Default accommodation X&9^&U=e Else FU5LYXCs A = CDbl(dlg.TextBox1) ?K4.L?D#J End If ?79SP p)oo z[5Y
Z~}* If dlg.TextBox2 = "" Then 17i<4f# pupilDiam = 4 'Default pupil diameter EFRZ% Y Else #0?"J) pupilDiam = CDbl(dlg.TextBox2) d(X\B{ End If #Z|%0r_~ yp[<9%Fi Print " " y /X:=d6" Print "Accommodation = " & A & " Diopters" #}/cM2m Print "Pupil Diameter = " & pupilDiam & " mm" Q$?7) yyu+ +Mk*{A t ' Calculate new parameters with accommodation -[zdX}x.: taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Ms:KM{T0 3yHb!}F Rant = 12.0 - 0.4*A 'Radius of anterior lens 0NCOz(L/ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens L876$ L9{mYA]q Rpost = -5.224557 + 0.2*A 'Radius of posterior lens U^[cYTG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 1A%N0#_(Md Sl. KLc@@ tlens = 3.767 + 0.04*A 'Lens thickness |&elZ}8 1N!Oslum nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ?qf:_G $PatHY@h 'Adjust parameters to account for accommodation io9y;S"+ _=|nOj39 '************************************************************************* 3}>: 'Aqueous thickness (Position of Lens) 6[+\CS7Lt '************************************************************************* bU;}!iVc] eID = FindFullName( "Geometry.Arizona Eye.Lens" ) lfxuc7Rdla GetCustomElement eID, entity (
oQ'4,F -Q<z1vz parID = FindFullName( "Geometry.Arizona Eye" ) MB]#%g& DO7-=74= ' Delete any shift(s) in z aUypt(dv count = 0 tJUVw= While GetOperationCount(eID)>count =@xN(]( GetOperation eID, count, op 9GMH*=3[= If op.Type="ShiftZ" Then %^a]J"Ydi8 DeleteOperation eID,count DC?21[60 count=count-1 iEiu%T> End If h]kn%?fpmB count=count+1 42b. 7E Wend "bD+/\ z "%{,T 'Set new shift in RDUT3H6~ op.Type = "ShiftZ" E|HSwTHe op.val1 = taq 5~@?>)TBv op.parent = parID o2;(VSKhS AddOperation eID, op p//T7rs Print "Set aqueous humor thickness = " & taq-0.55 lo cW_/ ! 9d_Gf- '************************************************************************* ~gu=x&{ 'Radius and conic constant of anterior lens u|(Ux~O
'************************************************************************* J+{Ou rWt eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]YCPyc: GetConic eID, entity, curv, conic $T"h";M)s _^_5K(Uq SetConic eID, entity, 1/Rant, CCant r0)JUc}Fyq Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 6yE'/VB< %9t{Z1$ '************************************************************************* f"vk# 3 'Radius and conic constant of posterior lens rpUy$qrRc '************************************************************************* 6D/uo$1Y eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) <KKDu$W|T GetConic eID, entity, curv, conic L<bYRGz j'3j}G%\T SetConic eID, entity, 1/Rpost, CCpost JT4wb]kdV Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost HwB {8S?sm t:\l&R& '************************************************************************* r)gCTV(kb 'Lens thickness (Position of posterior lens surface) <v]z6B@9! '************************************************************************* +C'XS{K,# `-4'/~G parID = FindFullName( "Geometry.Arizona Eye.Lens" ) (jMtN?&0H- DH:J ' Delete any z-shift(s) dw~[9oh count = 0 ypH8QfxLTr While GetOperationCount(eID)>count (VR"Mi4 GetOperation eID, count, op ERF,tLa! If op.Type="ShiftZ" Then q^5yk=2fq DeleteOperation eID,count 0Y7$d` count=count-1 kB8
M i End If @!e~G'j%VD count=count+1 os[ZIHph Wend d]8_l1O b 8>q; 'Set new z-shift q %>7L<r op.Type = "ShiftZ" ba8 6 N op.val1 = tlens ZT6V/MD7T. op.parent = parID J7:9_/e0T AddOperation eID, op W]_g4,T> Print "Set lens thickness = " & tlens [q1Unm Y=E9zUF '************************************************************************* 80|onP\L 'Lens index of refraction flP>@i:e6 '************************************************************************* IhE9snJ[ eID = FindMaterial( "Lens" ) fuMN"T 6%+ GetModelMaterial eID, mat b4CF`BG FY8!g'.Oe mat.Nd = nlens kae2 73" SetModelMaterial eID, mat _wz2 Print "Set lens index of refraction = " & nlens _%{0?|= r?pZ72q '************************************************************************* }S */b1 'Pupil diameter X]!D;7^ '************************************************************************* W .U+.hR eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) }z
wX ys%zlbj[ 'Adjust pupil diameter (trimming volume inner hole) m2(E>raV6 :k~dj C SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ox[ .)v oSY7IIf%L ' Adjust pupil location to just in front of the lens y@3Q;~l, parID = FindFullName( "Geometry.Arizona Eye" ) n3$gx,KL eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) \,R!S /R# count = 0 [/cIUQ While GetOperationCount(eID)>count [(ygisqt GetOperation eID, count, op s)ky/ce If op.Type="ShiftZ" Then H@D;e DeleteOperation eID,count h=6xZuA\ count=count-1 >
H BJk: End If \lEkfcc count=count+1 ,hWcytzEw Wend r+S;B[Vd op.Type = "ShiftZ" 9Kbw
GmSU op.val1 = taq-0.01 w{`Acu op.parent = parID a8Uk[^5 AddOperation eID, op z]=8eV\ .x-J44i@/ Print "Set pupil diameter = " & pupilDiam _R^y\1Qu )3%@9 'Update AZ Eye subassembly Description 6{=_718l` eID = FindFullName( "Geometry.Arizona Eye" ) Pu;yEh GetEntity eID, entity .'j29 6[u entity.Description = "Accommodation = " & A & "D" #!})3_Qc(y SetEntity eID, entity JoJukoy}F b7Oj<!Wo` Update k!3 cq) Print "DONE!" VRbQdiZ{ _ie.| 4k End Sub &RO7{,`
gn)R^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: o=_c2m
()\jCNLT Accommodation = 4 Diopters ! E0!-UpY Pupil Diameter = 4 mm ,lm=M5b Set aqueous humor thickness = 2.81 H)>sTST( Set anterior lens radius = 10.4 and conic constant = -2.375869 `/4:I Set posterior lens radius = -4.424557 and conic constant = -3.081019 S^N{wZo Set lens thickness = 3.927 m Ni2b*k Set lens index of refraction = 1.42672 $a(`ve| Set pupil diameter = 4 8lP6-VA DONE! Td h TQ IQnIaZ (文章来源:讯技光电)
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