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简介 ;t@ 3Go 5f^`4pT 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。 \.{pZMM YRM6\S)py 模型 )8N)Z~h w4<u@L 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。 7PQj7&m )l!&i?h% Table 1. AZ眼睛模型的定义 ^) b7m 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. Jk6/i;4| >`,#%MH# 光源 HNHhMi`w I;":O"ij\ 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。 Q&U= jX zk^7gx3x ][$$
= 图1. 光源和提示信息使用 `v/tf|v6 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。 EBn:[2 .n|3A3: 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。 3z/O`z C7*Yg$`{ 图2. 字母F光源的设定方法光 hwol7B> 0\ytBxL 图3. 字母F在视网膜上位置点列图 t"74HZO> 视网膜的散射 ?k7/`gU a~N)qYL: 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。 $m%/veD k T?}=k{C] },QFyT 图4. 视网膜朗伯散射设定 DkMC!Q\ 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。 o'}Z!@h UNH}*]u4`
$;`2^L 图5. 视网膜重点采样规格设定 <wGTs6 脚本 m5Laq'~0_ fO}1(%}d 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: D]>86& ?Kz`
O>"6 图6. 用户对话框的创建与编辑 `9"jHw`D 图7. 用户对话框编辑器 ~(doy@0M 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 bA9dbe 余下的脚本计算与屈光度有关的所有参数。 Ei(`gp Fb4S/_
V 分析 V@s/]|rf, HvfTC<+H 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ?B31t9 _@3O` 图7. 字母F在视网膜上颜色分析 E6IL,Iq9 脚本代码 ewlc ^` BOcEL%+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. 2!& ;ZcT, `fE:5y Dim entity As T_ENTITY HQ#L
|LN Dim op As T_OPERATION JU`'?b Dim mat As T_MODELMATERIAL .;sPG Dim A As Double Tf]VcEF Dim pupilDiam As Double -8J@r2 \ Dim eID As Long gGz_t,= Dim parID As Long #[rFep Dim count As Integer t$ ~:C Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double +( 7vmC. Dim tlens As Double, nlens As Double 4'eVFu+62 Dim curv As Double, conic As Double '`VO@a Dim ok As Long ^Q+5M"/8 B'~i Z65 Sub Main L7'X7WYf& ,UJPLj^ '用户输入对话框 CZno2$8@e Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 hzVr3;3Zn
TextBox 220,21,40,21,.TextBox1 'default: 0 8pKPbi;(2 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 IaqN@IlWb OKButton 40,91,90,21 y,eoTmaI CancelButton 190,91,90,21 e/~<\ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r,@|Snv) TextBox 220,49,40,21,.TextBox2 'default: 4 -PuVI5L< End Dialog [9Hm][|Ph Dim dlg As UserDialog Zl/+HU~ ?O]gFn ok = Dialog (dlg) *VAi!3Rx; C
5!6k1TcE If ok=0 Then 'cancel button was pressed %ieAY-<" Print "Execution cancelled." (
I~XwP& End "[Lp-4A\ End If fA,!d J 4SO{cst 'Assign accommodation and pupil diameter & use defaults if field left empty lw lW.C If dlg.TextBox1 = "" Then BU .G~0 A = 0 'Default accommodation U}5KAi 9Z Else n m$G4Q A = CDbl(dlg.TextBox1) V#FLxITk End If
#rC+13 N^>g=Ub If dlg.TextBox2 = "" Then N1+]3kt ~ pupilDiam = 4 'Default pupil diameter )7TTRL Else gC:E38u pupilDiam = CDbl(dlg.TextBox2) Q 7?4GxMj End If O~1p]j LD"}$vfs Print " " $:P~21, Print "Accommodation = " & A & " Diopters" U;Wmx Print "Pupil Diameter = " & pupilDiam & " mm" z#!Cg*K( ?Io2lFvI@Y ' Calculate new parameters with accommodation 3@A k6Uh taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ~~
w4854 V)@scB|>, Rant = 12.0 - 0.4*A 'Radius of anterior lens 7tnzgtal CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 'S
;vv]}Gs =1uI >[aN Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Y`Rf E CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens >l[N]CQ `hhG^O_ tlens = 3.767 + 0.04*A 'Lens thickness z[Qv}pv an$h~}/6: nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 9t gkAU` L*38T\ 'Adjust parameters to account for accommodation A` 8If Tj#XsD?J '************************************************************************* Gj?q+-d!(5 'Aqueous thickness (Position of Lens) sJvn#cS '************************************************************************* suSIz 7:
eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %dQX d] GetCustomElement eID, entity F!<x;h( |0
VP^md parID = FindFullName( "Geometry.Arizona Eye" ) YEj U3^@ }9dgm[C[b ' Delete any shift(s) in z wm4e:& count = 0 C\[UAxZ3X While GetOperationCount(eID)>count hkxZ=l GetOperation eID, count, op vUA,` If op.Type="ShiftZ" Then W_EN4p~J DeleteOperation eID,count XDQ1gg` count=count-1 .j.=|5nVo4 End If |szfup~5es count=count+1 NI)nf;C Wend ];YOP%2 tIw4V^'| 'Set new shift in o%iTYR:x op.Type = "ShiftZ" 5{[0Clb) op.val1 = taq l+,rc*-j0 op.parent = parID b/`'?|
C AddOperation eID, op 6P8X)3CE<T Print "Set aqueous humor thickness = " & taq-0.55 )*B.y|b# |d8o<Q '************************************************************************* ~]Jfg$' 'Radius and conic constant of anterior lens 3i1>EjML '************************************************************************* &~EOM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) vbU{Et\^ GetConic eID, entity, curv, conic P[~a'u :n4x}% SetConic eID, entity, 1/Rant, CCant FE.:h'^h Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant wim}}^H c`cPGEv '************************************************************************* Wj0([n 'Radius and conic constant of posterior lens ijfT!W '************************************************************************* :>z0m0nI\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) t1S\M%? GetConic eID, entity, curv, conic `7`iCYiTy tee%E=P SetConic eID, entity, 1/Rpost, CCpost _'Z@ < ,L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost !xSGZD=AD FrS>.!OFn '************************************************************************* BH^q.p_#>X 'Lens thickness (Position of posterior lens surface) t<-Iiq+tL '************************************************************************* 0FBifK nBd;d}LD parID = FindFullName( "Geometry.Arizona Eye.Lens" ) VlH9ap QQcJUOxT9 ' Delete any z-shift(s) <v?-$3YT count = 0 d?JVB While GetOperationCount(eID)>count .+.Pc_fv GetOperation eID, count, op sE% n=Ww If op.Type="ShiftZ" Then dJk.J9Z DeleteOperation eID,count /$E1!9J count=count-1 MWB?V?qPSC End If H)Yv_gT count=count+1 d{Z Wend b.F2m(e2 iPao54Z 'Set new z-shift lxbZM9A2 op.Type = "ShiftZ" zT@vji%Y op.val1 = tlens *ZHk^d: op.parent = parID oPi)#|jcb AddOperation eID, op Kgcg:r: Print "Set lens thickness = " & tlens O1QHG'00 CR<*<=rI '************************************************************************* aDs[\' 'Lens index of refraction 1cPi>?R: '************************************************************************* %tpjy, eID = FindMaterial( "Lens" ) ?U&onGy GetModelMaterial eID, mat bR.T94-8y xf |=n mat.Nd = nlens 4JucNGv SetModelMaterial eID, mat &"=inkh Print "Set lens index of refraction = " & nlens + IMP< 7kO
1d{u6b '************************************************************************* =^6]N~*,D 'Pupil diameter rz4S"4 '************************************************************************* QJxcH$ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) W /IyF){ {Tx+m;5F 'Adjust pupil diameter (trimming volume inner hole) {oO!v}] $OmtN" SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ^#;2 Pd> Da.v yp ' Adjust pupil location to just in front of the lens p!=/a)4X parID = FindFullName( "Geometry.Arizona Eye" ) aXwFQ, eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) h)sc-e count = 0 % 30&6 " While GetOperationCount(eID)>count .iw+# GetOperation eID, count, op ?k/Uw'J4u/ If op.Type="ShiftZ" Then }pA0mW9 DeleteOperation eID,count T2k5\r8 count=count-1 ${e{# End If 8L0#<"'0 count=count+1 {jbOcx$t Wend gq/q]Fm\ op.Type = "ShiftZ" W;2y.2* op.val1 = taq-0.01 =>&d[G[m! op.parent = parID jQc$>M<"o AddOperation eID, op J-=&B5"O> HyZh27PE Print "Set pupil diameter = " & pupilDiam VsFRG;:\U ~Xa >; 'Update AZ Eye subassembly Description &6h,' U eID = FindFullName( "Geometry.Arizona Eye" ) ; R}:2 GetEntity eID, entity fy7]I?vm@ entity.Description = "Accommodation = " & A & "D" ~u.CY SetEntity eID, entity k: D<Q 0&zp9(G5 Update L_Om<LO2 Print "DONE!" <.#i3! ZfoI7<?33 End Sub zK?[6n89f MK,#"Ty}zK 如果屈光度是4,光瞳直径是4,则会输出如下数据: zoA]7pG- iWO16= Accommodation = 4 Diopters !M\8k$#"n Pupil Diameter = 4 mm `N;JM3 ck Set aqueous humor thickness = 2.81 E<Efxb'p Set anterior lens radius = 10.4 and conic constant = -2.375869 *IfLoKS' Set posterior lens radius = -4.424557 and conic constant = -3.081019 7iT#dpF/A Set lens thickness = 3.927 bvi
Y.G3 Set lens index of refraction = 1.42672 SK#;/fav6 Set pupil diameter = 4 uK1DC i DONE! <t\!g L`3x0u2 /GqW1tcO QQ:2987619807 p{NVJ^!+
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