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简介 X#VEA=4{ OO$|9`a 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 T)`gm{T -P2 @mx% 模型 I I&< H%FM 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 miPmpu! Q<dba12 Table 1. AZ眼睛模型的定义 P?xA$_+ 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. ]Uu
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光源 c$/<l5Uw P>|Ef~j 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{{nj {Wh BoD 2,+d|1(4o 图1. 光源和提示信息使用 iW'_R{)T 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。 t~q?lT QJQJR/g 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。 $-Cy _n7%df 图2. 字母F光源的设定方法光 rj}(muM,R FbmsN)mv!% 图3. 字母F在视网膜上位置点列图 m!;G/s* 视网膜的散射 !W(`<d]68: *aI~W^N3 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。 J, r Xx: <W?WUF sLNNcj(Cy> 图4. 视网膜朗伯散射设定 _;#9!"& 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。 yk`)Cq%=; ?x'w~;9R/ sSNCosb 图5. 视网膜重点采样规格设定 C]M7GHe1q 脚本 *G\=i
A zqY)dk 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: Q]^Yi1PbS PF m\[2 图6. 用户对话框的创建与编辑 CPVmF$A- 图7. 用户对话框编辑器 .izf#r:< 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 (V8?,G > 余下的脚本计算与屈光度有关的所有参数。 .5]{M\aA y^SyhG,V[ 分析 }{A?PHV5 a/:]"`) 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 UUGe"]V^g: ;HP#bx 图7. 字母F在视网膜上颜色分析 oikxg!0S 脚本代码 q1jN]H v"/TmiZ Option Explicit 'Remove this to enable non-dimensioned variables to be used. my4\mi6P ZzT&$J7]`{ Dim entity As T_ENTITY &/iFnYVhy Dim op As T_OPERATION Ms,@t^nk Dim mat As T_MODELMATERIAL an. `dBm Dim A As Double -(
(Z@T1k Dim pupilDiam As Double I
ld7}R Dim eID As Long xFU5\Zuw Dim parID As Long !D7"=G}HD Dim count As Integer _!%M% Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double H@Q` Dim tlens As Double, nlens As Double aTG[=)xL Dim curv As Double, conic As Double yZ5x88 > Dim ok As Long o _(0 V8tghw Sub Main f0u56I9 y~dB5/ '用户输入对话框 h07eEg Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 "9%qbMB TextBox 220,21,40,21,.TextBox1 'default: 0 %EWq2'/5 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 qfa}3k8et OKButton 40,91,90,21 Hv8H.^D> CancelButton 190,91,90,21 'u1=XX
h Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 mTJ"l(,3 TextBox 220,49,40,21,.TextBox2 'default: 4 g#|oif9o End Dialog !VFem~'d Dim dlg As UserDialog Y+@g~TE o)p[
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ok = Dialog (dlg) u0g*O]Y 6{8/P'@/Zz If ok=0 Then 'cancel button was pressed "9ue76 Print "Execution cancelled." ,z G(u 1 End jWSb5#Pw End If yjFe' BJgDo 'Assign accommodation and pupil diameter & use defaults if field left empty g Jk[Ja If dlg.TextBox1 = "" Then 2kVp_=c A = 0 'Default accommodation @C=M
UT-! Else XGhwrI ^ A = CDbl(dlg.TextBox1) IkU|W3Vo End If 06jMj26! ?&xlT+JM If dlg.TextBox2 = "" Then rd"
&QB{ pupilDiam = 4 'Default pupil diameter /BT1oWi1y Else R:f7LRF/\ pupilDiam = CDbl(dlg.TextBox2) "$DldHC End If gB >pd?d V_f`0\[x Print " " G5;V.#"Z[ Print "Accommodation = " & A & " Diopters" +6oG@ Print "Pupil Diameter = " & pupilDiam & " mm" P5Dk63z] Oy%Im8.-A# ' Calculate new parameters with accommodation c.0]1 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness _ eiF@G n/ AW?' Rant = 12.0 - 0.4*A 'Radius of anterior lens ).Gd1pE CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens #%8 w ,Bf(r Rpost = -5.224557 + 0.2*A 'Radius of posterior lens E(;i> CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens q#'VJA:A5& 9n 6fXOC tlens = 3.767 + 0.04*A 'Lens thickness # 66e@ s/h7G}Mu nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 8YKQItK X4'kZ'Sy< 'Adjust parameters to account for accommodation N Bz%(?\ s7"i.A '************************************************************************* Ihqs%;V 'Aqueous thickness (Position of Lens) 0;<OYbm3< '************************************************************************* JGgxAd{L eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :<%vE !$ GetCustomElement eID, entity K:_($X] W&KM/9d parID = FindFullName( "Geometry.Arizona Eye" ) Yf=FeH7" />F.Nsujy ' Delete any shift(s) in z bE4HDq34 count = 0 SK-W%t While GetOperationCount(eID)>count dhtb?n{
GetOperation eID, count, op 'F7VM?HBfg If op.Type="ShiftZ" Then eT-9 DeleteOperation eID,count L=g_@b count=count-1 eO[c l B End If uw"*zBxl count=count+1 e "n|jRh Wend )8'jxiGs OD|1c6+X 'Set new shift in " '[hr$h3 op.Type = "ShiftZ" /< QSe op.val1 = taq uLK(F
B op.parent = parID l"5y?jT AddOperation eID, op a:}E& ,&M Print "Set aqueous humor thickness = " & taq-0.55 j3 P$@< 9^\hmpP@D '************************************************************************* z6cYC, 'Radius and conic constant of anterior lens Y`^o7'Z2^P '************************************************************************* gQ+9xT d eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) &O*ENpF GetConic eID, entity, curv, conic eEP(
). l{Er+)a SetConic eID, entity, 1/Rant, CCant pBU]=[M0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant kFwxK"n@C Nv3tt '************************************************************************* ?d5h9}B 'Radius and conic constant of posterior lens hVf^ '************************************************************************* >qpqQ;
bm eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) lD3)TAW@o GetConic eID, entity, curv, conic > UWStzH< N9`97;.X SetConic eID, entity, 1/Rpost, CCpost
iRs V#s Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ^1VbH3M OoM_q/oI '************************************************************************* c/'M#h)" 'Lens thickness (Position of posterior lens surface) X+at%L= '************************************************************************* r0Z+RB^I jb3.W parID = FindFullName( "Geometry.Arizona Eye.Lens" ) i| 4_m TPK@*9rI ' Delete any z-shift(s) |D<+X^0' count = 0 sg$4G:l While GetOperationCount(eID)>count KZ
)Ys GetOperation eID, count, op \ 3G*j` If op.Type="ShiftZ" Then MS{{R+& DeleteOperation eID,count :o$@F-$k count=count-1 g@u;Y5 End If H"D5e count=count+1 0!_*S ) Wend (3O1?n[n (YrR8 'Set new z-shift r--;yEjWE op.Type = "ShiftZ" u~}%1 op.val1 = tlens 4>_d3_1sn op.parent = parID g}r^Xzd; AddOperation eID, op G/(*foT8SE Print "Set lens thickness = " & tlens XHQh4W3 G_+Ph^ '************************************************************************* !.X_/$c 'Lens index of refraction #TATqzA '************************************************************************* e?=elN eID = FindMaterial( "Lens" ) v
F[CWV. GetModelMaterial eID, mat Pw
xIz ]#5^&w)' mat.Nd = nlens L$}g3{ SetModelMaterial eID, mat |*E"G5WZM Print "Set lens index of refraction = " & nlens 8}z3CuM lM+ xU; '************************************************************************* PY-+ Bf 'Pupil diameter gQR1$n0 '************************************************************************* =)*JbwQ
eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) %YCd%lAe, uS-3\$ 'Adjust pupil diameter (trimming volume inner hole) hHEPNR[.
DB~MYOX~ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ls]H6z*q E*^9|Y[ ' Adjust pupil location to just in front of the lens >b43%^yii parID = FindFullName( "Geometry.Arizona Eye" ) piuKVU eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 2Y;!$0_rv count = 0 "uhV|Lk*7 While GetOperationCount(eID)>count 0\wi am- GetOperation eID, count, op '=@r7g.2 If op.Type="ShiftZ" Then /n8psj DeleteOperation eID,count [ze/@29 count=count-1 <tW:LU(! End If "Y(^F
bs count=count+1 3&9zGy{V+ Wend ?} X}# op.Type = "ShiftZ" avy=0Jmj op.val1 = taq-0.01 ENyAF%6 op.parent = parID $l#{_~
"m7 AddOperation eID, op VWD.J 6WO7+M;z Print "Set pupil diameter = " & pupilDiam FF3&Y^+^" JaFUcpZk$ 'Update AZ Eye subassembly Description ZYDWv/u eID = FindFullName( "Geometry.Arizona Eye" ) 5A,=vE GetEntity eID, entity 9N1#V
K entity.Description = "Accommodation = " & A & "D" /W0E(8:C) SetEntity eID, entity .<dOED{v v~aLTI Update &M=3{[ Print "DONE!" p;e$kg1
(JU_8j! End Sub SXh?U,5u {=6)SBjf 如果屈光度是4,光瞳直径是4,则会输出如下数据: jiq2 x\\! NhCAv+ Accommodation = 4 Diopters "8?TSm8 Pupil Diameter = 4 mm h(|;\ ~ Set aqueous humor thickness = 2.81 yYk|YX(7U Set anterior lens radius = 10.4 and conic constant = -2.375869 ,m:6qdN Set posterior lens radius = -4.424557 and conic constant = -3.081019 egWx9xX Set lens thickness = 3.927 ]/[0O+B? Set lens index of refraction = 1.42672 qS|AdkNL Set pupil diameter = 4 KD=bkZ& DONE! fzyzuS$ ]\`w1'* EP(Eq QQ:2987619807 F0&O/-w&u
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