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简介 >0I\w$L y@\J7 h: 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 `,)%<} mxl"Y&l2< 模型 idNg&' n hGh5, 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 90!67Ap`x dA$qzQ Table 1. AZ眼睛模型的定义 D*!9K8<o 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. 7DIFJJE' #)( D_* 光源 =xM:8
hm 9/6=[) 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。 8Oo16LPD ?9;r|G YbuS[l8 图1. 光源和提示信息使用 "SU
O2-Gj 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。 dU#}Tk R<e ~Cb- 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。 w~WW2w ]gDX~]f[ 图2. 字母F光源的设定方法光 "ac$S9@~ r$&WwH2^ 图3. 字母F在视网膜上位置点列图 wQN/MYF[ 视网膜的散射 cGS7s 8U 2g%p9-MO]I 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。 z460a[Wl l6< bV#_qe 9v(k<('_ 图4. 视网膜朗伯散射设定 X>ck.}F 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。 oVeC@[U 3zo:)N \K <{1=4PA 图5. 视网膜重点采样规格设定 nSB@xP#& 脚本 Vi<F@ji !Bn,f2 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: i"
>kF@]c8 ZGQz@H5 图6. 用户对话框的创建与编辑 YY
8vhnw 图7. 用户对话框编辑器 ^THyohK 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。 a,KqTQB 余下的脚本计算与屈光度有关的所有参数。 {[[/*1r| &v<Am%!N 分析 8U7X/L
E<L6/rG 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 h"On9 #]lK! : 图7. 字母F在视网膜上颜色分析 6Wc'5t3 脚本代码 n@y*~sG] eX <@qa4< Option Explicit 'Remove this to enable non-dimensioned variables to be used. $Ce;}sM -*~~00w Dim entity As T_ENTITY "i~~Q'=7 Dim op As T_OPERATION uui3jZ: Dim mat As T_MODELMATERIAL = K3NKPUI Dim A As Double "E%3q 3|"l Dim pupilDiam As Double _vr;cjMI Dim eID As Long 7r wNjY# Dim parID As Long NLF6O9 Dim count As Integer Qs;MEt 1 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]TIBy "3 Dim tlens As Double, nlens As Double n_@cjO Dim curv As Double, conic As Double s:Io5C( Dim ok As Long n$y@a?al ::2(pgH Sub Main >PONu]^ Y@Ti2bI`v '用户输入对话框 $gysy!2}. Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 #w&N)
c> TextBox 220,21,40,21,.TextBox1 'default: 0 Wtqv Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 w~}.c:B OKButton 40,91,90,21 }WEF*4B! CancelButton 190,91,90,21 tzdh3\6F Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 41NVF_R6J TextBox 220,49,40,21,.TextBox2 'default: 4 .yb=I6D;<3 End Dialog ?$Ii_. Dim dlg As UserDialog {x<yDDIv_ H:_R[u4r ok = Dialog (dlg) ioJr2wq6 *1CZRfWI If ok=0 Then 'cancel button was pressed 0=V
-{ Print "Execution cancelled." d{:0R9 End #Iwxt3K End If *W$bhC'w dI)
9@UL 'Assign accommodation and pupil diameter & use defaults if field left empty ,'>O#kD
If dlg.TextBox1 = "" Then &@/25Y2 A = 0 'Default accommodation &AhkP=Yw Else Tb<}GcwJ A = CDbl(dlg.TextBox1) %3mh'Z -[f End If B):hm c@/K} If dlg.TextBox2 = "" Then SRek:S, pupilDiam = 4 'Default pupil diameter ]Ofs,U^ Else Qs7*_=+h pupilDiam = CDbl(dlg.TextBox2) B8.uzX'p End If #7|73&u( ^@OdY&5^ Print " " R;`C;Rbf Print "Accommodation = " & A & " Diopters" Q+a"Z^Z| Print "Pupil Diameter = " & pupilDiam & " mm" se&Q\!&M C5x*t Q| ' Calculate new parameters with accommodation a+PVi taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness k`h#.B J Ji7<UJ30x Rant = 12.0 - 0.4*A 'Radius of anterior lens p^*A&7d:P CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ,#Mt10e{ OS sYmF Rpost = -5.224557 + 0.2*A 'Radius of posterior lens vfloha p CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *m*sg64Zw @"__2\ 0 tlens = 3.767 + 0.04*A 'Lens thickness ,'&H`h54 !"<~n-$B nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction osZ]R _BHEK 'Adjust parameters to account for accommodation P9jPdls *^[j6 '************************************************************************* 2./;i>H[u 'Aqueous thickness (Position of Lens) hD9b2KZv '************************************************************************* ndS8p]P&o( eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Usq.'y/o GetCustomElement eID, entity -T{G8@V0I )SyU parID = FindFullName( "Geometry.Arizona Eye" ) njckPpyb@ @^Yr=d ba ' Delete any shift(s) in z VCQo3k5
{ count = 0 {B[ }}wX$ While GetOperationCount(eID)>count ubUVxYD? GetOperation eID, count, op 6QAhVg: A If op.Type="ShiftZ" Then f[wxt n'r DeleteOperation eID,count VMH^jCFp count=count-1 ,)ZI&BL5 End If Kjt\A]R% count=count+1 do:IkjU~ Wend }No8t o #Fz/}lO 'Set new shift in /X%+z5 op.Type = "ShiftZ" y3OF+;E op.val1 = taq ^MO})C op.parent = parID $rm/{i_7 AddOperation eID, op T,h9xl9i Print "Set aqueous humor thickness = " & taq-0.55 il% u)NN M< / '************************************************************************* A\<W x/ 'Radius and conic constant of anterior lens pD;fFLvN '************************************************************************* q5{h@}|M eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Go(Td++HS GetConic eID, entity, curv, conic i>e?$H,/ bX>R9i$
SetConic eID, entity, 1/Rant, CCant Y`rli Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant J?C:@Q '^M.;Giz '************************************************************************* fwNj@fl_,e 'Radius and conic constant of posterior lens X}H?*'- '************************************************************************* '}$$0S.DC eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 'OvM GetConic eID, entity, curv, conic 0ZJj5<U n x{MUN7 SetConic eID, entity, 1/Rpost, CCpost PU8dr| ! Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 9e Fj+ ~z)JO'Z$
'************************************************************************* [Qcht,\^v 'Lens thickness (Position of posterior lens surface) @Gt.J*!s/ '************************************************************************* J";4+wA7 q _Z+H4 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) fZrh_^yH +QNsI2t;r ' Delete any z-shift(s) )]kxLf# count = 0 "SRS{-p0 While GetOperationCount(eID)>count bEln.) GetOperation eID, count, op _@W1?;yD If op.Type="ShiftZ" Then p<3<Zk 7~0 DeleteOperation eID,count
\440gH` count=count-1 1)5$,+~lL End If DTG-R>y^ count=count+1 k-^le|n9 Wend 51Vqbtj^ <w`EU[y_ 'Set new z-shift iBI->xU[U op.Type = "ShiftZ" UE/JV_/S; op.val1 = tlens G"w
[>m op.parent = parID O_]hbXV0 AddOperation eID, op sUU[QP- Print "Set lens thickness = " & tlens [+Fajo;0 d0-4KN2 '************************************************************************* > l]Ble 'Lens index of refraction TD%&9$F '************************************************************************* )/)[}wN;j eID = FindMaterial( "Lens" ) Em !%3C1r GetModelMaterial eID, mat p6V#!5Q 5z =}o/? mat.Nd = nlens YxrMr9>l1 SetModelMaterial eID, mat %-a;HGbZn Print "Set lens index of refraction = " & nlens @T:J<, "YaT1`Kr '************************************************************************* hz*T"HJ]t 'Pupil diameter QO^V@"N '************************************************************************* Qj|rNeM_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *ow`}Q Q6D>(H#"0 'Adjust pupil diameter (trimming volume inner hole) R:$E'PSx s1h|/7gG SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }0tHzw=#%e d%. |MAE ' Adjust pupil location to just in front of the lens KJ:z\N8eo parID = FindFullName( "Geometry.Arizona Eye" ) 8|^&~Rl4 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) X</Sl>[8 count = 0 7'"qW"< While GetOperationCount(eID)>count K_~kL0=4 GetOperation eID, count, op OGIv".~s4 If op.Type="ShiftZ" Then DP0@x+`k DeleteOperation eID,count 1DcX$b count=count-1 heL`"Y2'y> End If `a83bF35 count=count+1 j#~~_VA~ Wend ^b$_I31D op.Type = "ShiftZ" Wy}^5]R0E op.val1 = taq-0.01 2x9.>nwhb op.parent = parID @&Z^WN,x AddOperation eID, op -gm5Eqi ZE-vroh Print "Set pupil diameter = " & pupilDiam qxDMDMN /]^Y\U ^ 'Update AZ Eye subassembly Description fgeh;cD eID = FindFullName( "Geometry.Arizona Eye" ) >}\s-/ GetEntity eID, entity Le:C8^ entity.Description = "Accommodation = " & A & "D" |9=A"092{ SetEntity eID, entity \pfa\,rW T.3{}230< Update 9:Oz-b Print "DONE!" vi
*A5 n1{[CCee@ End Sub PPH;'!>s" r5N TTc
如果屈光度是4,光瞳直径是4,则会输出如下数据: %~x?C4L8 } 6!/Nb Accommodation = 4 Diopters >mX6;6FF Pupil Diameter = 4 mm icIn>i<m Set aqueous humor thickness = 2.81 |=*)a2 Set anterior lens radius = 10.4 and conic constant = -2.375869 KILX?Pt[7 Set posterior lens radius = -4.424557 and conic constant = -3.081019 f)j*P<V Set lens thickness = 3.927 %~PcJhz Set lens index of refraction = 1.42672 | bRU=dg Set pupil diameter = 4 cz1 + XpU DONE! NS2vA>n8R
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