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o%Sl HvZSkq^ 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。 c7[Ba\Cr4h *<"{(sAvk 模型 f|/ ,eP$ 7>0/$i#'Vl 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 /Ah'KN|EN CeUXGa|C Table 1. AZ眼睛模型的定义 /9Qr1@&v 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 'w<^4/L Q N
K@6U_/W 光源 0~[M[T\ -Oz! GX 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 n\BV*AH 6p3cMJ'8y ,":_CY4( 图1. 光源和提示信息使用 ;nAx@_ab^ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 ]F;1 l3I- 2#/sIu-L 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ;K4uu<e\ TT#V'r\ 图2. 字母F光源的设定方法光 <*/Z>Z_c2 2FO<Z %Y 图3. 字母F在视网膜上位置点列图 &%(SkL_] 视网膜的散射 jJ'NYG X%B$*y5 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。 ?=-/5A4K *1:kIi7_ #e@[{s7 图4. 视网膜朗伯散射设定 @$%.iQ7A; 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 >f1fvv6 %@q2 .vi0DuD6 图5. 视网膜重点采样规格设定 bB*cd!7y 脚本 F/:%YR; /V]i3ac 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: ^\\9B-MvY 6O0aGJ,H 图6. 用户对话框的创建与编辑
Z}SqiT 图7. 用户对话框编辑器 pQ4HX)<P 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 CEzdH!nP 余下的脚本计算与屈光度有关的所有参数。 [;:ocy } ,Dk6w$ 分析 mGmZ}H'{ {FILt3f; 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 V;Ln|._/t VrhHcvnZ 图7. 字母F在视网膜上颜色分析 2<'ol65/c 脚本代码 )}_}D+2 :gRVa=}= Option Explicit 'Remove this to enable non-dimensioned variables to be used. "s t+2#{ g~9b_PY9 Dim entity As T_ENTITY ^bdXzjf Dim op As T_OPERATION qn}VW0! Dim mat As T_MODELMATERIAL K&"X7fQ Dim A As Double A4KkX Dim pupilDiam As Double Uw3wR!: Dim eID As Long @2_E9{ T Dim parID As Long ']1a Dim count As Integer CqU ^bVs Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double _?I*::
I Dim tlens As Double, nlens As Double Wu8zK=Ve( Dim curv As Double, conic As Double qIh9? |`U Dim ok As Long U5?QneK "zqa:D26 Sub Main 5HY0 *\ ?k^m|Z '用户输入对话框 2)QZYgfh Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 3m$Qd#| TextBox 220,21,40,21,.TextBox1 'default: 0 hb}Qt Q Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 G2P:|R OKButton 40,91,90,21 p&HO~J<w CancelButton 190,91,90,21 [.CP,Ly Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 (>lH=&%zj TextBox 220,49,40,21,.TextBox2 'default: 4 8;f5;7Mn End Dialog 'Ddzlip Dim dlg As UserDialog E9@Sc>e Y&DoA0/y ok = Dialog (dlg) rD !GEU 6C
?,V3Z If ok=0 Then 'cancel button was pressed (eHTXk*V` Print "Execution cancelled." 'UuHyC2Ha3 End i]qxF&1 End If S{{wcH$n'i -"#jRP]# 'Assign accommodation and pupil diameter & use defaults if field left empty (/{bJt~b If dlg.TextBox1 = "" Then BV}sN{ A = 0 'Default accommodation K&T.~2'> Else ^D ;EbR A = CDbl(dlg.TextBox1) ;Qc^xIPy End If ]bstkf}~u 2dbn~j0 If dlg.TextBox2 = "" Then Jq8v69fyQ pupilDiam = 4 'Default pupil diameter wk1/& Else 79h'sp6; pupilDiam = CDbl(dlg.TextBox2) PO:sF]5 End If N]\)Ok nD!t*P Print " " <$K7f Print "Accommodation = " & A & " Diopters" 7m:TY>{ Print "Pupil Diameter = " & pupilDiam & " mm" u4 ~.[3E* b"OH Xu ' Calculate new parameters with accommodation .VohW=D3 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness J?hs\nA p
)WRsJ8 Rant = 12.0 - 0.4*A 'Radius of anterior lens {*<%6? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 8u1?\SYnb T!^v^m@>y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens f=7[GZoDn CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *,=8x\Shp 2|NQ5OA0 tlens = 3.767 + 0.04*A 'Lens thickness 2NB$(4/ BE54L+$p nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction OgHqF,0MN 'X?Iho 'Adjust parameters to account for accommodation /1Ss |. F4ylD5Y! '************************************************************************* k3]qpWKj 'Aqueous thickness (Position of Lens) us.IdG '************************************************************************* 19%zcYTe eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~w.y9)", GetCustomElement eID, entity ^E~1%Md. _c(h{dn parID = FindFullName( "Geometry.Arizona Eye" ) wT-Kg=-q P5GV9SA ' Delete any shift(s) in z G6xNR count = 0 (aq-aum-I While GetOperationCount(eID)>count HJd{j,M GetOperation eID, count, op `91Z]zGpU If op.Type="ShiftZ" Then ^SM5oK DeleteOperation eID,count 6:Y2z!MLO count=count-1 j'lC]}kH End If wbg?IvY[ count=count+1 /fU-0a8 Wend o'Y/0hkh SQ'%a-Mct 'Set new shift in BaMF5f+ op.Type = "ShiftZ" :lK8i{o op.val1 = taq ~3%aEj op.parent = parID Y)#,6\=U AddOperation eID, op !JVv`YN Print "Set aqueous humor thickness = " & taq-0.55 }VHvC" #5iwDAw:|r '************************************************************************* <$C3]
=2 'Radius and conic constant of anterior lens .
+,{|){c '************************************************************************* p1T0FBV
L eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) @xk ;]H80 GetConic eID, entity, curv, conic vN~joQ=d j9-.bGtm?. SetConic eID, entity, 1/Rant, CCant u<+"#.[2v~ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant =-qYp0sVP 7g%\+%F
I '************************************************************************* 5XuQQ!` 'Radius and conic constant of posterior lens _94R8?\_V7 '************************************************************************* %MEWw eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) |;I"Oc.w^R GetConic eID, entity, curv, conic JbN,K Ylgr]?Db* SetConic eID, entity, 1/Rpost, CCpost W*,$0 t Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #F6M<V' lsgZ '************************************************************************* &2n5m& 'Lens thickness (Position of posterior lens surface) u(PUbxJ
V '************************************************************************* WmRu3O s{42_O?,c parID = FindFullName( "Geometry.Arizona Eye.Lens" ) by$mD_sr g!)*CP#; ' Delete any z-shift(s) iP1yy5T count = 0 |3hNTH? While GetOperationCount(eID)>count m6Qm }"" GetOperation eID, count, op Qv)DSl
If op.Type="ShiftZ" Then 57_AJT hR DeleteOperation eID,count Qtt3;5m count=count-1 n;QFy5HB8 End If =GiN~$d count=count+1 Z!4B=?( Wend Nk1p)V SC }C$D-fH8sW 'Set new z-shift O:8Ne*L`D op.Type = "ShiftZ" ?KE:KV[Y op.val1 = tlens Zq:c2/\c} op.parent = parID jHV)
TBr AddOperation eID, op X +/^s) Print "Set lens thickness = " & tlens Pj5:=d8z( 4E$d"D5]>p '************************************************************************* A-h[vP!v| 'Lens index of refraction ']Z%6_WF '************************************************************************* e488}h6#m eID = FindMaterial( "Lens" ) };f^*KZ=0 GetModelMaterial eID, mat &G?w*w_n *q@3yB} mat.Nd = nlens ]@CXUa,>a SetModelMaterial eID, mat }|nEbM]# Print "Set lens index of refraction = " & nlens '>T hn{ Oe;1f#`5 '************************************************************************* J?1Eh14KZ 'Pupil diameter we
kb&? '************************************************************************* ?!3u?Kd eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) bP%X^q~]A n'1LNi 'Adjust pupil diameter (trimming volume inner hole) u]]mbER*t# QoMa+QTuc SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" R''2o_F6 "
^!=e72 ' Adjust pupil location to just in front of the lens /2 qxJvZ parID = FindFullName( "Geometry.Arizona Eye" )
6B}V{2 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) uX6rCokr count = 0 aFL<(,~r While GetOperationCount(eID)>count V|<'o<h8 GetOperation eID, count, op mt[ #=Yba If op.Type="ShiftZ" Then IiY%y:!g DeleteOperation eID,count gyU=v{]. count=count-1 l vBcEg End If yvnvI y count=count+1 b$tf9$f Wend %2^V.`0T op.Type = "ShiftZ" BG6Lky/omz op.val1 = taq-0.01 -WGlOpg0; op.parent = parID M"$g*j AddOperation eID, op iaQFVROu \@zoM:[sN Print "Set pupil diameter = " & pupilDiam R?J8#JPXD 8[a N5M] 'Update AZ Eye subassembly Description >}d6)s| eID = FindFullName( "Geometry.Arizona Eye" ) VS65SxHA GetEntity eID, entity #(Yd'qKo entity.Description = "Accommodation = " & A & "D" ~N)(|N SetEntity eID, entity @2>ce2+ V2g"5nYT Update %2beoH' Print "DONE!" V h5\'Sn [lzH%0
V End Sub "Q{7X[$$^ Mv:\T%] 如果屈光度是4,光瞳直径是4,则会输出如下数据: V-"#Kf9 ghk"XJ| Accommodation = 4 Diopters ft!D2M Pupil Diameter = 4 mm CYM>4C~>JW Set aqueous humor thickness = 2.81 v(,YqT>q@U Set anterior lens radius = 10.4 and conic constant = -2.375869 F'ez{B\AX Set posterior lens radius = -4.424557 and conic constant = -3.081019 R0F&!y!B Set lens thickness = 3.927 %mOQIXr1s Set lens index of refraction = 1.42672 Ki /j\ Set pupil diameter = 4 1`Uu;mz DONE! 'a~F'FN$
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