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简介 [!U!
Z'i 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。 HrHtA] +Os9}uKf 模型 1'b}Y8YO tfVlIY< 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。 hZ-?-F?*@ 6/&|)gW', Table 1. AZ眼睛模型的定义 8Od7e` 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. VCa`|S?2 Z*YS7 ~ 光源 8BX9JoDi NV`=T?1[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。 N[;R8SP %Q zk aXJ rtz ]PH 图1. 光源和提示信息使用 ]BfJ~+ N 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。 8JU{]Z!G<; _eUd
RL> 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。 a!\^O).pA S>y}|MG 图2. 字母F光源的设定方法光 -V=,x3Zew lFa?l\jLXZ 图3. 字母F在视网膜上位置点列图 vPD%5AJN 视网膜的散射 pI(
H7 ( [midNC +, 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。 .qrS[ w 7AQv4 d Y`P 图4. 视网膜朗伯散射设定 yv\
j&B| 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。 ICzcV };$ {~ 1
~V rs,:pU 图5. 视网膜重点采样规格设定 *.!5327 脚本 -=)+)9~G Ted!*HKlB 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: )p[Qj58 SyIi*dH 图6. 用户对话框的创建与编辑 E=t^I/f)E 图7. 用户对话框编辑器 `:
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]xP 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。 Vn?|\3KY 余下的脚本计算与屈光度有关的所有参数。 76b2 3| wexa\o 分析 U3t)yr h Pa"[&{ : 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K[i&!Z&
BQ(sjJ$v6F 图7. 字母F在视网膜上颜色分析 `h<>_zpjY 脚本代码 lVgin54Q I36ClOG Option Explicit 'Remove this to enable non-dimensioned variables to be used. :b<< nKe|xP Dim entity As T_ENTITY G4wJv^6i9 Dim op As T_OPERATION lQG;WVqW Dim mat As T_MODELMATERIAL _g6H&no[ Dim A As Double =Q4Wr0y><] Dim pupilDiam As Double )5w# n1 Dim eID As Long oWBjPsQ Dim parID As Long 6yXN7L==x Dim count As Integer ET\rd5Po Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double UDV6 ##$ Dim tlens As Double, nlens As Double 4Q~++PKBe Dim curv As Double, conic As Double !XO"lS Dim ok As Long XF?"G<2 ;9hS_%ldX4 Sub Main >[4CQK`U wPaMYxO/ '用户输入对话框 V@\A<q%jTs Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Qk].^'\ TextBox 220,21,40,21,.TextBox1 'default: 0 s(y=u > Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 #xt-65^ OKButton 40,91,90,21 _ECH( CancelButton 190,91,90,21 VF g"AJf Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 mw~$;64;a TextBox 220,49,40,21,.TextBox2 'default: 4 ?y,z End Dialog }ssL;q Dim dlg As UserDialog S&MF; E6 Xe@:Aun ok = Dialog (dlg) oFp4*<\ i?6#>;f If ok=0 Then 'cancel button was pressed wa$Q8/ Print "Execution cancelled." -S
0dr8E End ]~\%ANoi End If n(j5dN>] bkIQ?cl<at 'Assign accommodation and pupil diameter & use defaults if field left empty tfPe-U If dlg.TextBox1 = "" Then 7:n OAN}% A = 0 'Default accommodation #f }ORA Else >!%+) A = CDbl(dlg.TextBox1) 53l !$#o End If j "e]Ui 2xt$w% If dlg.TextBox2 = "" Then }nMp.7b pupilDiam = 4 'Default pupil diameter jB3Rue:+g Else D4PjE@D"H pupilDiam = CDbl(dlg.TextBox2) ML:H\ End If #*
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nvz;]B Print " " 8Wx7%@^O Print "Accommodation = " & A & " Diopters" `bjPOA(g Print "Pupil Diameter = " & pupilDiam & " mm" [wM]w ;bkvdn} ' Calculate new parameters with accommodation lj@ibA] taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness d1u6*&@lf R&MetQ~-{ Rant = 12.0 - 0.4*A 'Radius of anterior lens U\(T<WX, CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens u9G YeVkX{y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens EOG&Xa CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens LteZ7e rl:D>t(:. tlens = 3.767 + 0.04*A 'Lens thickness HA3d9` $zJ!L nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction r%xf=}; G>S3? jGk 'Adjust parameters to account for accommodation AO]1`b: U_@Dn[/: '************************************************************************* 5.F/>?< 'Aqueous thickness (Position of Lens) b}Wm-]|+ '************************************************************************* q82yh& eID = FindFullName( "Geometry.Arizona Eye.Lens" ) '%KaAi$ GetCustomElement eID, entity @P6*4W I0} G,
q parID = FindFullName( "Geometry.Arizona Eye" ) mC./,a[ Io]KlR@!T ' Delete any shift(s) in z mxmj count = 0 [ Ru( H While GetOperationCount(eID)>count NJPp6RZ% GetOperation eID, count, op >JT^[i8[ If op.Type="ShiftZ" Then "1ov< DeleteOperation eID,count S=g E'"LT count=count-1 v6O5n(5,, End If <E\vc6n count=count+1 l'kVi Wend :zsMkdU ?5rM'O2 'Set new shift in r<EwtO+x op.Type = "ShiftZ" d% Nx/DS) op.val1 = taq xv0y?#`z op.parent = parID 4x?4[J~u[ AddOperation eID, op s1
(UOd7} Print "Set aqueous humor thickness = " & taq-0.55 PQ(/1v h?-M+Ac '************************************************************************* Z2&7HTz 'Radius and conic constant of anterior lens Y>I9o)KR '************************************************************************* Nuc2CB)J eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) l` ?4O GetConic eID, entity, curv, conic z?.XVk- -\V;Gw8mD SetConic eID, entity, 1/Rant, CCant p9j2jb,qy Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant G u#wH 17yg ~ '************************************************************************* QA#
7T3| 'Radius and conic constant of posterior lens ZBXn&Gm '************************************************************************* V5S6?V\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) NU.YL1 GetConic eID, entity, curv, conic zd?uMq;w -'RD%_ SetConic eID, entity, 1/Rpost, CCpost *2r(!fJP=^ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost # &Z1d(! oZ!+._9 '************************************************************************* .MW/XnCYs4 'Lens thickness (Position of posterior lens surface) JeU1r-i '************************************************************************* 'Ad |*~ i
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dJ,8 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) R6qC0@* 9DaoMOPEI ' Delete any z-shift(s) -ei+r# count = 0 ANXN.V While GetOperationCount(eID)>count okLheF GetOperation eID, count, op uAv'%/ If op.Type="ShiftZ" Then !sav~dB) DeleteOperation eID,count ?tf<AZ=+^L count=count-1 `&g1`vg End If a'B 5m]% count=count+1 \zV'YeG Wend );L +)UV 7hfa?Mcz 'Set new z-shift ^1`T_+#[s op.Type = "ShiftZ" jQY^[A op.val1 = tlens x}H%NzR op.parent = parID xoNn'LF#u AddOperation eID, op sH\ h{^ Print "Set lens thickness = " & tlens #4ii!ev ){xMMQ5 '************************************************************************* H?)?(t7@ 'Lens index of refraction Mx=L lC) '************************************************************************* }BLT2]y0 eID = FindMaterial( "Lens" ) Oy~X@A GetModelMaterial eID, mat 2jH&@g$cl; hdurT mat.Nd = nlens q{RT~,% SetModelMaterial eID, mat VMV~K7%0 Print "Set lens index of refraction = " & nlens bb"x^DtT -mqTlXM '************************************************************************* Nj;G%KAP
'Pupil diameter 5vj tF4}7! '************************************************************************* yMBFw:/o eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) $/;<~Pzi
CO.e.:h 'Adjust pupil diameter (trimming volume inner hole) {b90c'8?a 6Z68n SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" :qO)^~x 1}b1RKKj< ' Adjust pupil location to just in front of the lens i T&Y9 parID = FindFullName( "Geometry.Arizona Eye" ) =-8y= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) >}>cJh6 count = 0 E>w|i While GetOperationCount(eID)>count n<66 7
< GetOperation eID, count, op S}XVr?l2O If op.Type="ShiftZ" Then lr&O@
5"oy DeleteOperation eID,count R9O[`~BA2 count=count-1 1J O@G3, End If 0vi\o`**Mj count=count+1 L+d4&x Wend ?)'+l op.Type = "ShiftZ" <[<]+r&* op.val1 = taq-0.01 ]>k>Z#8E* op.parent = parID iJ 8I#
j+N AddOperation eID, op `KzNBH,W /2AeJH\- Print "Set pupil diameter = " & pupilDiam %eLf6|1x h?`'%m?_b 'Update AZ Eye subassembly Description +hKH\] eID = FindFullName( "Geometry.Arizona Eye" ) 8cv [|`< GetEntity eID, entity (S#nA:E entity.Description = "Accommodation = " & A & "D" EJZb3 SetEntity eID, entity L(i0d[F +5IC-=ZB Update f1}b;JJTsv Print "DONE!" Yeb-u+23 |_`wC End Sub M8iI e:{ c =K\.YKT 如果屈光度是4,光瞳直径是4,则会输出如下数据: 0I
\l_St@ /J` ZO$ Accommodation = 4 Diopters k4Ub+F Pupil Diameter = 4 mm lpHz*NZ0 Set aqueous humor thickness = 2.81 u[2B0a Set anterior lens radius = 10.4 and conic constant = -2.375869 k&8& |