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简介 f0Zn31c^ {DVu* %| 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。 n `Ry! _1EWmHZ? 模型 n+q a/< A!n)Fpk
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。 azT@S=, ZBcT@hxm Table 1. AZ眼睛模型的定义 Bq
9Eu1 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. 2,bLEhu s>+,u7EV 光源
ek9Y9eJ" `^#V1kRmH 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。 Y%"73.x P S [ifC KDUa0$" 图1. 光源和提示信息使用 \pJBBG 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 B$)&;Q m
c q!_#{y 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。 >ngP\&\ LkA_M'G 图2. 字母F光源的设定方法光 }2CVA.Qm! u?-X07_ 图3. 字母F在视网膜上位置点列图
,R8:Y*@P 视网膜的散射 .*acw /ltGSl 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。 J3P)oM[ gI5" \"T{ :^H#i:4 图4. 视网膜朗伯散射设定 ;wF 0s 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。 B4d\4S_r% @Fs2J_v $<QOMfY> 图5. 视网膜重点采样规格设定 IJz=SV 脚本 f 3t&Bcw$ N-cLp}D}WB 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: -w#*~Q{'* }k7t#O 图6. 用户对话框的创建与编辑
<f+9wuZ 图7. 用户对话框编辑器 PW)Gd +y 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。 d>OLnG>
F 余下的脚本计算与屈光度有关的所有参数。 Okt0b|=`1* FvTc{"w / 分析 t=B>t S.hO r'5~4'o$ 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\;;FNP b!hs|emo; 图7. 字母F在视网膜上颜色分析 \u@*FTS 脚本代码 AIK99 ?9I=XTR Option Explicit 'Remove this to enable non-dimensioned variables to be used. Fu;\t 0 %hM8px4d Dim entity As T_ENTITY ']]5xH*U Dim op As T_OPERATION _t'S<jTI Dim mat As T_MODELMATERIAL 5l]G1+ Dim A As Double g E#4 3 Dim pupilDiam As Double :<w2j6V Dim eID As Long |?=a84n1l Dim parID As Long A.@/~\ Dim count As Integer a"6AZT"8 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double |:jka Dim tlens As Double, nlens As Double zUNWcv!& " Dim curv As Double, conic As Double \4qwLM?E^ Dim ok As Long 5&QDZnsl npD`9ff Sub Main BXx0Z
%e.3 VP\'p1a '用户输入对话框 q5D_bm7,3 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 E` O@UW@ TextBox 220,21,40,21,.TextBox1 'default: 0 9f/RD?(1O Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =iZj&B X OKButton 40,91,90,21 fP:26pK^ CancelButton 190,91,90,21 Za4X
; Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 G,]%dZHe TextBox 220,49,40,21,.TextBox2 'default: 4 qC;1ND End Dialog JxlU=7cF Dim dlg As UserDialog wE*jN~ 14LOeo5O ok = Dialog (dlg) 6%nKrK 3\~
RWoB0u If ok=0 Then 'cancel button was pressed h0v4!`PQ- Print "Execution cancelled." a9<&|L < End E/[<} ./ End If IC[iCrB 6.|Qyk* 'Assign accommodation and pupil diameter & use defaults if field left empty LEJ8 .z6$ If dlg.TextBox1 = "" Then V/; / & A = 0 'Default accommodation nm3/-Q}, Else `EjPy>kM A = CDbl(dlg.TextBox1) [LcHO] _^M End If ]EhU8bZ c/bIt If dlg.TextBox2 = "" Then K@DK4{ pupilDiam = 4 'Default pupil diameter %M/rpEE"b% Else V< ]l=JOd pupilDiam = CDbl(dlg.TextBox2) Vu
u2SS End If `fA|])3T ejID5NqG Print " " @mbR I0 Print "Accommodation = " & A & " Diopters" 9~FB^3Nz_ Print "Pupil Diameter = " & pupilDiam & " mm" e,0y+~ P{{pp<tX*& ' Calculate new parameters with accommodation ,*Vt53@E taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness m:{ws~ 8&0+Az"{O Rant = 12.0 - 0.4*A 'Radius of anterior lens /!//i^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Fo0dz >#jfZ5t Rpost = -5.224557 + 0.2*A 'Radius of posterior lens !VF.=\iH/ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens O_n) 2t(c? #UO#kC<2(B tlens = 3.767 + 0.04*A 'Lens thickness Sjogv |D
?}6z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction n%"0%A BRu/pyxG 'Adjust parameters to account for accommodation n
qR8uL> y&$mN '************************************************************************* /<\B8^yQ 'Aqueous thickness (Position of Lens) D02_ Jrg '************************************************************************* mR OXwzL eID = FindFullName( "Geometry.Arizona Eye.Lens" ) $G_,$U! GetCustomElement eID, entity 8LH"j(H <o\2-fWvY parID = FindFullName( "Geometry.Arizona Eye" ) qq)Dh'5*e, h)vRvfcmY ' Delete any shift(s) in z m3La;%aA0 count = 0 tmCm54 While GetOperationCount(eID)>count 0."TSe83\ GetOperation eID, count, op 6jGPmOM/ If op.Type="ShiftZ" Then =h#3D?b0n DeleteOperation eID,count `k>h2(@9S
count=count-1 <`~zKFUQ[ End If U!0 Qf7D count=count+1 ?2#v`Z=L; Wend &?-LL{W{ le*1L8n$' 'Set new shift in cP4K9:k op.Type = "ShiftZ" PhS`,I^Z op.val1 = taq Mk*&CNo3 op.parent = parID /Ww_fY AddOperation eID, op jf_0IE Print "Set aqueous humor thickness = " & taq-0.55 nmLn]U= o9l =Q '************************************************************************* jmcb-=ts 'Radius and conic constant of anterior lens :[#~,TW '************************************************************************* E%f;Z7G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) g' xR$6t GetConic eID, entity, curv, conic }WN0L?h.E Q}?yj,DD SetConic eID, entity, 1/Rant, CCant 1D,$Az~. Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 7*7Z&1*3 Ew4>+o! '************************************************************************* rb/m;8v> 'Radius and conic constant of posterior lens Qo4+=^( '************************************************************************* p8>.Q/4
eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 5 W<\J GetConic eID, entity, curv, conic $uA?c&
e m"2KAq61 SetConic eID, entity, 1/Rpost, CCpost _d8k[HAJ| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost \LFRu {\OIowa '************************************************************************* q<YteuZJ, 'Lens thickness (Position of posterior lens surface) Yfk){1 '************************************************************************* c
!$
8> FBjIft5e parID = FindFullName( "Geometry.Arizona Eye.Lens" ) +DWmutL X(-e-:B4; ' Delete any z-shift(s) AxaabS$\ count = 0 VQm)32' While GetOperationCount(eID)>count 1_Um6vS# GetOperation eID, count, op 4T-9F If op.Type="ShiftZ" Then ~ caKzq DeleteOperation eID,count $c-h'o count=count-1 RLypWjMx$ End If "t<${ count=count+1 U/ncD F%C Wend ?|8QL9Q"| _}X_^taTZS 'Set new z-shift 't$(Ruw op.Type = "ShiftZ" {iP^51fy op.val1 = tlens Wgl7)Xk.) op.parent = parID `U4R%
qhWA AddOperation eID, op ^A8'YTl Print "Set lens thickness = " & tlens G>?hojvi W;]*&P[[
'************************************************************************* ?_e2)+q8YG 'Lens index of refraction KzeTf?G '************************************************************************* m6BIQ(l eID = FindMaterial( "Lens" ) (+<SR5,/3 GetModelMaterial eID, mat z6)SaSYE D nA}!s mat.Nd = nlens ,gAa9 SetModelMaterial eID, mat X@;;
h Print "Set lens index of refraction = " & nlens />^ sGB cQM_kV??! '************************************************************************* G)~/$EF,_ 'Pupil diameter +S/OMkC '************************************************************************* "m2g"xa\7 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) FfEP@$ aY:u-1 'Adjust pupil diameter (trimming volume inner hole) ZSWKVTi ux>wa+XFa SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2>`m1q: zsM3
[2E* ' Adjust pupil location to just in front of the lens 3vdhoS| parID = FindFullName( "Geometry.Arizona Eye" ) cX~J6vNy5 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ))M!"* count = 0 '0ks`a4q While GetOperationCount(eID)>count z{;~$." GetOperation eID, count, op mO#62e4C If op.Type="ShiftZ" Then !q]@/<= DeleteOperation eID,count R3 Zg,YM count=count-1 N{kp^Byim0 End If o'Rr2,lVi count=count+1 dV/ ^@[ Wend $W_sIS0\z
op.Type = "ShiftZ" Lp1\vfU<+ op.val1 = taq-0.01 MgpjC` op.parent = parID c+a" sx\ AddOperation eID, op eHX;*~e6) opaRk.p Print "Set pupil diameter = " & pupilDiam 85e!)I_ ;q5.\m: 'Update AZ Eye subassembly Description )\O;Rt( eID = FindFullName( "Geometry.Arizona Eye" ) )#%v1rR GetEntity eID, entity .I
h'& entity.Description = "Accommodation = " & A & "D" p)&Yr SetEntity eID, entity ~7;AV(\%e H@|h
Nn$@ Update Al}D~6MD Print "DONE!" 0(o{V:l%Z| g.,_E4L End Sub V'iT> Q0j4c 如果屈光度是4,光瞳直径是4,则会输出如下数据: ,SV34+( .X.,.vHx Accommodation = 4 Diopters
4QZ|e{t Pupil Diameter = 4 mm i:/Ws1=q Set aqueous humor thickness = 2.81 c9/&A Set anterior lens radius = 10.4 and conic constant = -2.375869 cqd}.D Set posterior lens radius = -4.424557 and conic constant = -3.081019 ~~iFs ,9 Set lens thickness = 3.927 tX.fbL@T Set lens index of refraction = 1.42672 fVvB8[(;~ Set pupil diameter = 4 H$M{thW DONE! Oaj$Z-
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