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简介 I:iMRvp 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。 W6i{yneW uStAZ~b\ 模型 =oSd M2 /m"/#; ^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。 N$]er'` aqI"4v]~b Table 1. AZ眼睛模型的定义 sd\p[MXX 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. kJ FWk i m;6$3 光源
SW#/;|m 8^ f: -5 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 {m>ylE {IV%_y? g) oOravV 图1. 光源和提示信息使用 Pn">fWRCx 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 e9KD mX_ rl%,9JD! 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 K'r;#I|"J 1]2]l*&3 图2. 字母F光源的设定方法光
< v] ~h@@y5<4 图3. 字母F在视网膜上位置点列图 lfcGi3 视网膜的散射 k(dakFaC^ hvw9i7# 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 ~/`/r%1/J WZNq!K H Cr7Zi>sd<! 图4. 视网膜朗伯散射设定 edp
I? 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 yKV{V?h? Yao}Xo9} ,\\ba_*z 图5. 视网膜重点采样规格设定 `sCaGCp 脚本 (CxA5u1|l Lkm-< 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: T(7`$<TQ M-"j8:en 图6. 用户对话框的创建与编辑 +r8bGS]ki 图7. 用户对话框编辑器 b]4dmc*N+ 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。 !lgL=Ys( 余下的脚本计算与屈光度有关的所有参数。 JkAM:,^( 13!@LbC 分析 ! dzgi: >s{I@#9 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 .r<aPy$ Iy9hBAg\y 图7. 字母F在视网膜上颜色分析 ={:a
N) 脚本代码 2H|:/y :G1ddb&0+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. (G"'Fb6d 9b+jT{Tg Dim entity As T_ENTITY =#G
2}8mQD Dim op As T_OPERATION r.H`3m.0q Dim mat As T_MODELMATERIAL yV{B,T`W Dim A As Double c1'@_Is Dim pupilDiam As Double l'+3
6 Dim eID As Long [MTd<@ Dim parID As Long %F>~2g?$ Dim count As Integer ;?2)[a Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 6ZQ |L=Ytp Dim tlens As Double, nlens As Double fc9;ZX7 Dim curv As Double, conic As Double O^@8Drgc Dim ok As Long p'/\eBhG]= Y.viOHL Sub Main C Bkoky9& Zo3!Hs ZA '用户输入对话框 5CkG^9 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .{1$;K @ TextBox 220,21,40,21,.TextBox1 'default: 0 @YI{ E*?S Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 b{A[\ " OKButton 40,91,90,21 ZLkl:'E_ CancelButton 190,91,90,21 *r`=hNr Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 QHk\Z TextBox 220,49,40,21,.TextBox2 'default: 4 *'/, End Dialog Bs~~C8+ Dim dlg As UserDialog O sgPNy0 ?*fa5=ql ok = Dialog (dlg) <&5z0rDKWw }T?X6LA$I8 If ok=0 Then 'cancel button was pressed G$<(>"Yr~$ Print "Execution cancelled." >f]/VaMH{ End AjVC{\Ik End If CY1WT E=s h^Q(A 'Assign accommodation and pupil diameter & use defaults if field left empty %6m/ve If dlg.TextBox1 = "" Then Mg2+H+C~: A = 0 'Default accommodation |p|Zv H Else boo361L A = CDbl(dlg.TextBox1) eHphM;C End If D#g-mqar: 6>vR5pn If dlg.TextBox2 = "" Then U%q)T61 pupilDiam = 4 'Default pupil diameter #dauXUKH Else wNf:_^|} pupilDiam = CDbl(dlg.TextBox2)
\]ib%,:YU End If 4>gfLK\R: I5Vn#_q+b Print " " ^)AECn Print "Accommodation = " & A & " Diopters" [?]N
GTr# Print "Pupil Diameter = " & pupilDiam & " mm" ;wv[';J ? x%s
j ' Calculate new parameters with accommodation |9E:S taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 'oa.-g 5 }LUvh Rant = 12.0 - 0.4*A 'Radius of anterior lens PUdv1__C CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ng1E'c]0@ ?WI v4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens q*hn5 K* CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens H,7='n7" X|of87 tlens = 3.767 + 0.04*A 'Lens thickness Vk6c^/v >q}3#TvP@ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction i).%GMv*r y,D9O/VP 'Adjust parameters to account for accommodation X`8<;l '}OdF*L '************************************************************************* XcJ5KTn 'Aqueous thickness (Position of Lens) N63?4'_W '************************************************************************* #VQZ"7nI@ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) A4j,]hOD GetCustomElement eID, entity SoIK<*J vXJs.)D7 parID = FindFullName( "Geometry.Arizona Eye" ) Jf^3nBZ @2Z|\ojJ ' Delete any shift(s) in z wT@Z|.) count = 0 x;mw?B[ While GetOperationCount(eID)>count yFE0a"0y GetOperation eID, count, op $(1t~u<17 If op.Type="ShiftZ" Then $Itmm/M DeleteOperation eID,count Tuvs} count=count-1 7K"3[. End If }e7Rpgu count=count+1 (Jq m9 Wend L$ T2 bul c &c 'Set new shift in RXXHg op.Type = "ShiftZ" 4
]oe`yx op.val1 = taq X@~/.H5 op.parent = parID Y.m1d ?H 1 AddOperation eID, op frcAXh9 Print "Set aqueous humor thickness = " & taq-0.55 |~9jO/&r 2CC"Z '************************************************************************* M+t)#O4 'Radius and conic constant of anterior lens ?q!4 REM '************************************************************************* `I7s|9-= eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Au2^ T1F GetConic eID, entity, curv, conic dsIbr"m MTYV~S4/ SetConic eID, entity, 1/Rant, CCant `
nX,x-UM Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant iwnGWGcuS XfcYcN '************************************************************************* ~}OaX+! 'Radius and conic constant of posterior lens w1<pQ[A '************************************************************************* !
fk W;| eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) zC*FeqFL< GetConic eID, entity, curv, conic 8GkWo8rPk /KH85/s SetConic eID, entity, 1/Rpost, CCpost lBP?7`U Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost v&:[?<6- t[|rp&xG '************************************************************************* or-k~1D 'Lens thickness (Position of posterior lens surface) zlLZ8b+ '************************************************************************* 0+mR
y57 5Sl"1HL parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ;(K/O?nrJ uGAQt9$>_ ' Delete any z-shift(s) TTG=7x:3 count = 0 F-kjv\ While GetOperationCount(eID)>count -~z@W3\ GetOperation eID, count, op 7sVM[lr< If op.Type="ShiftZ" Then 1F.._5_"] DeleteOperation eID,count kR+}7G+ count=count-1 z,;XWv? End If 'e:4 count=count+1 }w)}=WmD Wend KXMf2)pa **P P 'Set new z-shift L#`X
]E op.Type = "ShiftZ" @<DRFP op.val1 = tlens +.djC3^: op.parent = parID Bc!<!
AddOperation eID, op H[w';u[% Print "Set lens thickness = " & tlens D <~UaHfk =U84*HAv '************************************************************************* :X":>M;;+ 'Lens index of refraction a@g
<cl7a, '************************************************************************* XY)X-K$ eID = FindMaterial( "Lens" ) xkf2; GetModelMaterial eID, mat HnPy";{ [fCnq mat.Nd = nlens XK~HfA? SetModelMaterial eID, mat rFcz0 Print "Set lens index of refraction = " & nlens ttr` 6[t(FcS '************************************************************************* 3]S_w[Q4 'Pupil diameter [Zdrm:=]L '************************************************************************* @oY+b!L eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 86LE
)z ="G2I\ 'Adjust pupil diameter (trimming volume inner hole) -[!t=qi "wH(tk4 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]U@~vA#'' a2?@OJ ' Adjust pupil location to just in front of the lens YuuTLX%3 parID = FindFullName( "Geometry.Arizona Eye" ) #^9bBF/ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) iB99.,o-& count = 0 g
mWwlkf9 While GetOperationCount(eID)>count 3'p1m`8 GetOperation eID, count, op C}9GrIi If op.Type="ShiftZ" Then !Th5x2 DeleteOperation eID,count zWPX count=count-1 ,g'>Ib% End If ,J 2qLH1 count=count+1 [PXq<ST Wend xA^E+f:W_ op.Type = "ShiftZ" 8@ f!,!Wn op.val1 = taq-0.01 7"Nda3 op.parent = parID C-ORI}o AddOperation eID, op d@^%fVhG O\uIIuy Print "Set pupil diameter = " & pupilDiam l4mRNYv)z E
el* P M 'Update AZ Eye subassembly Description +*Wlj8 eID = FindFullName( "Geometry.Arizona Eye" ) ;4dFL\KU GetEntity eID, entity kE6/d, entity.Description = "Accommodation = " & A & "D" ;d>n2 SetEntity eID, entity ,^n&Q'p3 @gqZiFM) Update >aVtYp B Print "DONE!" ";Cf@}i> {tOf0W| End Sub a/s5Oit2'X ,_$J-F? 如果屈光度是4,光瞳直径是4,则会输出如下数据: D
HQxu4 LV1drc Accommodation = 4 Diopters ?zP
2
Pupil Diameter = 4 mm s[eSPSFZ Set aqueous humor thickness = 2.81 vC1fKo\p Set anterior lens radius = 10.4 and conic constant = -2.375869 QSzht$8 Set posterior lens radius = -4.424557 and conic constant = -3.081019 h$sOJs~6h Set lens thickness = 3.927 mc`Z;D/mt Set lens index of refraction = 1.42672 ;`xCfOY( Set pupil diameter = 4 =!DX,S7 DONE! mVS^HQ: I%:?f{\ (文章来源:讯技光电)
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