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简介 Zb);08X >{Lfrc1 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。 \UtUP#Y{t w8FZXL 模型 ] ^ |nU: 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。 `Rj
i=k> 4_r8ynq{z Table 1. AZ眼睛模型的定义 FopD/D{ 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. '[\%P2c)Q :*c@6;2@ 光源 o~es>; / HaS. 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{+lG* Z.<1,EKi= (T'inNbJe 图1. 光源和提示信息使用 E8NIH!dI 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。 BLMcvK\9 hc0VS3 k) 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。 :I<%.|8 O8dDoP\F2 图2. 字母F光源的设定方法光 q &jW{ JmN;v|wF:c 图3. 字母F在视网膜上位置点列图 @}fnR(fS 视网膜的散射 mT-5Ok&TUe 3_Oq4 / 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。 #NL1N_B #axRg=d?K |'KNR]:
N 图4. 视网膜朗伯散射设定 }T(|\
X 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。 MgtyO3GUAD v8pUt\m" xR1g 图5. 视网膜重点采样规格设定 qRB%G<H 脚本 #UXmTrZ. %FyB\IQ 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: <T0-m?D_$ ]7xAL7x 图6. 用户对话框的创建与编辑 );Gt!]p`; 图7. 用户对话框编辑器 88G[XkL$2 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 c[",WB<9 余下的脚本计算与屈光度有关的所有参数。 KE5f`h ?TzN?\ 分析 }3?M0 : qw_qGgbl 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (Yw5X_|
+9h6{&yr1 图7. 字母F在视网膜上颜色分析 possM'vC 脚本代码 ^5;Y YHKm{A ] Option Explicit 'Remove this to enable non-dimensioned variables to be used. DI$zyj~3 E+ 7S:B Dim entity As T_ENTITY 5h20\b?=$ Dim op As T_OPERATION f-{[ushj Dim mat As T_MODELMATERIAL 4|:{apH Dim A As Double 9Z+@i:_} Dim pupilDiam As Double S?8q.59 Dim eID As Long uHf~KYL Dim parID As Long h_CeGl!M} Dim count As Integer ZFdQZ=.' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double *`l>1)B> Dim tlens As Double, nlens As Double "&2D6 Dim curv As Double, conic As Double k)4|% Dim ok As Long ::M/s#-@ &`@Jy|N\ Sub Main ueWG/`ig uF^+}Y ZT '用户输入对话框 mIr{Wocx Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <o]tW4\(R TextBox 220,21,40,21,.TextBox1 'default: 0 h hdn9n Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 kYR&t}jlCg OKButton 40,91,90,21 sxsM%Gb?H CancelButton 190,91,90,21 Ws1<Jt3/." Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 %@rh\Z TextBox 220,49,40,21,.TextBox2 'default: 4 {) .=G End Dialog J'7){C"G$ Dim dlg As UserDialog ucA6s:!={ e=F'
O]
5 ok = Dialog (dlg) hU4~`gp O%+:fJz6wI If ok=0 Then 'cancel button was pressed vb70~k Print "Execution cancelled." Nq9(O#} End U2Ur N?T End If _6(zG.Fg AN.` tv 'Assign accommodation and pupil diameter & use defaults if field left empty WrD20Q$9Q If dlg.TextBox1 = "" Then ,-{j. A = 0 'Default accommodation &[s^`e Else glv(`cQ A = CDbl(dlg.TextBox1) I &m~ cBj< End If vG F]ALZxwkz If dlg.TextBox2 = "" Then =1esUO[nx pupilDiam = 4 'Default pupil diameter ~XZ1,2jA/ Else Hu'c)|~f pupilDiam = CDbl(dlg.TextBox2) >T(f End If TvQAy/Y0 eFeeloH?e* Print " " M!I:$DZt Print "Accommodation = " & A & " Diopters" wLgRI$_Dm Print "Pupil Diameter = " & pupilDiam & " mm" Q%
dpGI klx4Mvq+/@ ' Calculate new parameters with accommodation {?j|]j taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness O}KT>84M I&cb5j]C Rant = 12.0 - 0.4*A 'Radius of anterior lens Dv hK0L*Qr CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
:zZtZT! ~ib#x~Db Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 0CDTj,eK CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens jV7q)\uu^ R
UX tlens = 3.767 + 0.04*A 'Lens thickness vfo[<" !W3Le$aL nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction *wSl~J|ZM% 9Qkww&VEk 'Adjust parameters to account for accommodation 0<s)xaN>Y 3^fZUldf '************************************************************************* 2`Pk@,:_ 'Aqueous thickness (Position of Lens) sF|$oyDE '************************************************************************* Q \{\uJ x eID = FindFullName( "Geometry.Arizona Eye.Lens" ) "~+K`*0r8 GetCustomElement eID, entity '@:;oe@] L@2H>Lh35 parID = FindFullName( "Geometry.Arizona Eye" ) '/"( `f, @lJGdp ' Delete any shift(s) in z T2Vj&EA@ count = 0 >^jm7}+hb While GetOperationCount(eID)>count A l` ;SWN GetOperation eID, count, op M)LdGN?$ If op.Type="ShiftZ" Then SOUA,4 DeleteOperation eID,count UGN. ]#"# count=count-1 +g.WO5A End If {<]abO count=count+1 I @z{Gr Wend ;0BCM(>Wo <e=0J8V8,i 'Set new shift in -\I0*L'$|\ op.Type = "ShiftZ" |MRxm"]A
op.val1 = taq gVD!.
op.parent = parID :J<S-d= AddOperation eID, op !BY=HFT Print "Set aqueous humor thickness = " & taq-0.55 {-E{.7 T[7DJNdG6 '************************************************************************* e@q[Dv'mu 'Radius and conic constant of anterior lens iA < EJ '************************************************************************* 7;_5[_ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) k\%{1oRA GetConic eID, entity, curv, conic V]<dh|x =uvv|@Z SetConic eID, entity, 1/Rant, CCant :N[2*.c[ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant %_z]iz4 $DQ
-.WI '************************************************************************* V}JW@ 'Radius and conic constant of posterior lens mDq01fU4 '************************************************************************* '}OrFN eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Uvuvr_IP GetConic eID, entity, curv, conic HN3
yA1<[V ]xS< \{og SetConic eID, entity, 1/Rpost, CCpost [mwfgh&4% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 5I<?HsK@ ogPfz/ hw '************************************************************************* <h;P<4JX 'Lens thickness (Position of posterior lens surface) I m
Tq` '************************************************************************* '6aH*B:}*; l p? h~ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) WL7:22nSHa JLeV@NO ' Delete any z-shift(s) )GR^V=o7,Y count = 0 sF|lhLi While GetOperationCount(eID)>count ;j(xrPNb GetOperation eID, count, op 57oY]NT? If op.Type="ShiftZ" Then zxj!ihs< DeleteOperation eID,count YnNei 7R count=count-1 g$:2c7uL End If \myj Y count=count+1 Qr0GxGWU Wend OrH&dY CtE".UlCA 'Set new z-shift S ^n:O op.Type = "ShiftZ" M35}5+ op.val1 = tlens 0)84Z.k op.parent = parID m t*v@'l. AddOperation eID, op 0W>O,%z&P# Print "Set lens thickness = " & tlens E+Gea[c {1qEN_ERx '************************************************************************* Ge
@d" 'Lens index of refraction !"1bV
[^ '************************************************************************* 3$RII-}> eID = FindMaterial( "Lens" ) |6uEf/*DX GetModelMaterial eID, mat hR?rZUl2M {b+IDq`)= mat.Nd = nlens R8?A%yxf SetModelMaterial eID, mat 1.>`h: Print "Set lens index of refraction = " & nlens ;Lu}>.t +wio:== '************************************************************************* ?r@ZTuq# 'Pupil diameter N*z<VZ '************************************************************************* rDSt
~l eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) @emZwN"m *}0Q S@FN 'Adjust pupil diameter (trimming volume inner hole) @hv9=v+ |, :(3Ml SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" w68qyG|wM ?Jma^ S ' Adjust pupil location to just in front of the lens +6>Pp[% parID = FindFullName( "Geometry.Arizona Eye" ) }M1<a4~ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 9R E;50h count = 0 {vU '>pp While GetOperationCount(eID)>count *]EcjK% GetOperation eID, count, op G/D{K$=t~ If op.Type="ShiftZ" Then E+>;tLw3j DeleteOperation eID,count g-]td8}# count=count-1 n%O`K{86 End If a RV!0?fS count=count+1 6jnRC*!? Wend @.gCeMlOf op.Type = "ShiftZ" "q%)we op.val1 = taq-0.01 H11Wb(6Wu op.parent = parID Kzmgy14o AddOperation eID, op ,iHt*SZ,* $M><K Print "Set pupil diameter = " & pupilDiam
o]FQ)WRB
!]`]67lC 'Update AZ Eye subassembly Description B
O"+m eID = FindFullName( "Geometry.Arizona Eye" ) _l Jj 6= GetEntity eID, entity 6z(_^CY entity.Description = "Accommodation = " & A & "D" |;].~7^ SetEntity eID, entity w8on3f;6n# O-|3k$'\z Update *R:nB)(6< Print "DONE!" a#{a{> =];FojC6I End Sub h0gT/x c9&
8kq5 如果屈光度是4,光瞳直径是4,则会输出如下数据: 65}:2l2< Xu
T|vh Accommodation = 4 Diopters E^qKkl Pupil Diameter = 4 mm +I')>6 Set aqueous humor thickness = 2.81 4bKZ@r% Set anterior lens radius = 10.4 and conic constant = -2.375869 O=mJ8W@ Set posterior lens radius = -4.424557 and conic constant = -3.081019 Zw3|HV(so Set lens thickness = 3.927 6ZM<M7(V Set lens index of refraction = 1.42672 k4|YaGhf Set pupil diameter = 4 zL{KK9Or DONE! fpqKa r $L&*0$[]Q F8k1fmM]Y QQ:2987619807 B^OhL!*tI
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