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简介 c qyh#uWe G&3<rT3Ib 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。 ;l?(VqX_E &.4_4"l( 模型 \)uad5`N BD#;3?| 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。 0U*"OSpF r8>?-P Table 1. AZ眼睛模型的定义 ~(]DNXB8I` 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. IEf^.Z (
+hI 光源 G.e\#_RR? vkgL"([_ 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。 Z[bC@y[Wb S
IK{GWX 'oL[rO~j 图1. 光源和提示信息使用 .Q)"F / 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。 k ,(:[3J bLF0MVLM 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。 ADz|Y~V! 2wsZ&y% 图2. 字母F光源的设定方法光 Vp^sER Bys|i 0tb- 图3. 字母F在视网膜上位置点列图 l'\b(3JF 视网膜的散射 }TL"v|ny6; bM3e7olWS 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。 dS=,. } Lpf=VyqC ^D[;JV 图4. 视网膜朗伯散射设定 *60)Vo.= 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。 dD<kNa}2 r1atyK 9ksrr{tW 图5. 视网膜重点采样规格设定 >@uYleD( 脚本 59 Y=VS ;f~'7RKy!G 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: b;l%1x9r )D*xOajo+l 图6. 用户对话框的创建与编辑 e5KF ~0` 图7. 用户对话框编辑器 s%|J(0 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。 0eP~F2<bC 余下的脚本计算与屈光度有关的所有参数。 R"([Y#>m sTyGi1 分析 v4aGL<SO ]XyJ7esg 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ,-kZ5&r 3)\qts5 图7. 字母F在视网膜上颜色分析 *2;3~8Y 脚本代码 E5Jk+6EcMa 3om-,gfZ Option Explicit 'Remove this to enable non-dimensioned variables to be used. )wd~639U 1j,Y Dim entity As T_ENTITY <~w#sIh Dim op As T_OPERATION =x>k:l~s Dim mat As T_MODELMATERIAL 0in6z Dim A As Double WpZ^R;eK Dim pupilDiam As Double (p!AX<=z Dim eID As Long 7Y:s6 R| Dim parID As Long Rby7X*.-v Dim count As Integer ]S ,GHPEN Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ?]N&H90^5 Dim tlens As Double, nlens As Double FG\?_G Dim curv As Double, conic As Double C:{'0m*jKs Dim ok As Long ,#loVLy iI0 'z=J Sub Main [4yQ-L)]e
=`H(`2 '用户输入对话框 (eP)>G] Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Nl _Jp:8s TextBox 220,21,40,21,.TextBox1 'default: 0 e>.xXg6Zn Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ta(x4fP_ OKButton 40,91,90,21 +
aFjtb CancelButton 190,91,90,21 ps{(UYM=b Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r_m&Jl@4 TextBox 220,49,40,21,.TextBox2 'default: 4 3RUB2c4 End Dialog z16++LKmM Dim dlg As UserDialog [-ecKPx i^l;PvIF ok = Dialog (dlg) FC#Qtu~J C2v7( If ok=0 Then 'cancel button was pressed j;.&+. Print "Execution cancelled." oP6G2@3P/ End f9$q.a* End If ):@B1 yR H@:@zD!G[ 'Assign accommodation and pupil diameter & use defaults if field left empty qxx.f58H If dlg.TextBox1 = "" Then RP9||PFS~~ A = 0 'Default accommodation 8J0tya"z Else =[&Jxy>Y A = CDbl(dlg.TextBox1) p\K5B, End If i747( ^ yrX]w3kr% If dlg.TextBox2 = "" Then p
pq#5t^[) pupilDiam = 4 'Default pupil diameter u[DV{o Else -E1}mL}I` pupilDiam = CDbl(dlg.TextBox2) &AVi4zV End If
B|&< g d -fJ._1 Print " " ITV}f# Print "Accommodation = " & A & " Diopters" q'q{M-U< Print "Pupil Diameter = " & pupilDiam & " mm" Fwr,e;Z 53QP~[F8R] ' Calculate new parameters with accommodation W=*\4B] taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness X)~-MY*p 7^F?key? Rant = 12.0 - 0.4*A 'Radius of anterior lens jX%Q CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens xjYFTb}! ?m6E@.{ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens
EA\~m*k CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens w'!gLta fu/c)D6u*m tlens = 3.767 + 0.04*A 'Lens thickness yT4|eHl -]e@cevy nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction &}r932 y[cAU:P? 'Adjust parameters to account for accommodation lQzrf"N' /[OMpP '************************************************************************* =ZQIpc 'Aqueous thickness (Position of Lens) n!p&.Mt '************************************************************************* s5.2gu|"% eID = FindFullName( "Geometry.Arizona Eye.Lens" ) T1E=<q4 GetCustomElement eID, entity Z&%61jGK ])`F$S parID = FindFullName( "Geometry.Arizona Eye" ) 5>HI/QG FD<~?- ' Delete any shift(s) in z 8Y9mB#X count = 0 TsQMwV_h While GetOperationCount(eID)>count G4i&:0 GetOperation eID, count, op M@8(h= If op.Type="ShiftZ" Then }7V/(K DeleteOperation eID,count Buo1o&& count=count-1 {9)f~EbM! End If xiI!_0' count=count+1 jHd~yCq Wend G`pI{_-e (n<xoV[e 'Set new shift in w*+rB p,f op.Type = "ShiftZ" {XVSHUtw op.val1 = taq Ul=`]@]] op.parent = parID Y4_i=}\*vf AddOperation eID, op g%Z;rDfi Print "Set aqueous humor thickness = " & taq-0.55 &"BKue~q@p */1z=
'************************************************************************* it.l;L_nW 'Radius and conic constant of anterior lens V{n pK( '************************************************************************* dG| iA] eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) G/y< bPQ GetConic eID, entity, curv, conic &(K*TB|Om (HTVSC%= SetConic eID, entity, 1/Rant, CCant 7(jt:V6V Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant cIgF]My*D@ ' o5,P/6 '************************************************************************* .JzO f[g5 'Radius and conic constant of posterior lens .(sT?M`\J '************************************************************************* lY~xoHT;[ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) \^+sgg{ GetConic eID, entity, curv, conic HJ2]xe09 kxKBI{L SetConic eID, entity, 1/Rpost, CCpost h\1_$ac Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost QKVZ![Y!s RGiA>Z:W '************************************************************************* gAE}3// 'Lens thickness (Position of posterior lens surface) htaB!Q?V '************************************************************************* Q>.-u6(& 39OZZaWL parID = FindFullName( "Geometry.Arizona Eye.Lens" ) NE(6`Wq` #i~.wQ$1 ' Delete any z-shift(s) x>t:&Y M count = 0 _+UD>u{ While GetOperationCount(eID)>count nI6`/ GetOperation eID, count, op 'Ct+0X:D If op.Type="ShiftZ" Then Tj>~#~ DeleteOperation eID,count pdE=9l' count=count-1 ?-(E$ll End If >iq^Ts count=count+1 hX;xbl Wend 4b 4nFRnH ZJ!/49c*> 'Set new z-shift #Zfg op.Type = "ShiftZ" d/;oNC+ op.val1 = tlens zRB1V99k op.parent = parID Gs-' AddOperation eID, op s,0,w--= Print "Set lens thickness = " & tlens w7O(I" LaLA}1!
'************************************************************************* =6? 3c\ 'Lens index of refraction 5:O"T '************************************************************************* ]e+S ~me eID = FindMaterial( "Lens" ) {4#'`Eejj GetModelMaterial eID, mat 4).q+{#k @$Y`I{Xf mat.Nd = nlens h8n J$jg SetModelMaterial eID, mat KSLyU1W Print "Set lens index of refraction = " & nlens C7PHZ`< >V NMQ '************************************************************************* NC0x!tJ#7 'Pupil diameter C,K P!B{ '************************************************************************* 3C.bzw^ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) nE,"3X" oZ!rK/qoA 'Adjust pupil diameter (trimming volume inner hole) Vk[m$ _pW\F(+8 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" C#(4>' H]YPMG< ' Adjust pupil location to just in front of the lens c>I^SY(r% parID = FindFullName( "Geometry.Arizona Eye" ) 3pm;?6i6 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) BjJ+~R count = 0 r lW While GetOperationCount(eID)>count !30BZM^ GetOperation eID, count, op xez~Yw2 If op.Type="ShiftZ" Then J8(v65 DeleteOperation eID,count {ImZ><xe/ count=count-1 ~g)gXPjke End If Ao 1*a%-. count=count+1 7+@:wX\ Wend RBiDU}j op.Type = "ShiftZ" 3%'$AM}+s op.val1 = taq-0.01 }F**!%4d op.parent = parID s4t>/.;x AddOperation eID, op Vhv<w
O Ct -cEjB%Neo Print "Set pupil diameter = " & pupilDiam 2,'m]`;GNr N}Z"$4 'Update AZ Eye subassembly Description }7k+tJ< eID = FindFullName( "Geometry.Arizona Eye" ) I%;xMtY1o GetEntity eID, entity b=.Ikt+y entity.Description = "Accommodation = " & A & "D" u9QvcD^'z SetEntity eID, entity b?qtTce d+Pfi)+(I Update ABB4(_3E Print "DONE!" :Q"]W!kCs <SbW
QbN End Sub $
^m_M.1 X5'foFE' 如果屈光度是4,光瞳直径是4,则会输出如下数据: U!TFFkX[ Il>!C\hU Accommodation = 4 Diopters &p`RKD Pupil Diameter = 4 mm }n oI2.-# Set aqueous humor thickness = 2.81 ~M2w&g;1 Set anterior lens radius = 10.4 and conic constant = -2.375869 ;)~loa1\ Set posterior lens radius = -4.424557 and conic constant = -3.081019 %jim] ]<S[ Set lens thickness = 3.927 RT4ns +J1 Set lens index of refraction = 1.42672 f_7a) 'V4 Set pupil diameter = 4 *EvnN: DONE! 5L%A5C&|
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