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简介 I0v$3BQ4 ~lSdWUk> 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 NrTK+6 z )4@La& 模型 tn@MOOPl FR%u1fi 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 3\~
RWoB0u h0v4!`PQ- Table 1. AZ眼睛模型的定义 FdZG%N>Z 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. bm Hl\? D6wg^'Q: 光源 wy)I6`v 9"%ot=) 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 SA1|7 Q
\E[py Fy!-1N9|l 图1. 光源和提示信息使用 =%UX"K` 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 (w+dB8)X d
6$,N| 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。 (sHvoE^q- UCv9G/$ 图2. 字母F光源的设定方法光 _0uFe7sIZ 6n}5>GSF 图3. 字母F在视网膜上位置点列图 &-s/F` 视网膜的散射 t(,_ 2:>|zmh_ 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。 [p7cgHSMt K/OE;;<IA K.{:H4_ 图4. 视网膜朗伯散射设定 m:{ws~ 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。 68pB*(i /!//i^ Fo0dz 图5. 视网膜重点采样规格设定 >#jfZ5t 脚本 4jyDM68i q_sQC5:s 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: #UO#kC<2(B ~SWR|[ 图6. 用户对话框的创建与编辑 H$j`75#u?- 图7. 用户对话框编辑器 n%"0%A 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 BRu/pyxG 余下的脚本计算与屈光度有关的所有参数。 h9B^U?<wT RkW)B^# 分析 GG KD8'j] 0i4X,oHjG 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 f-!A4eKe H+VKWGmfG 图7. 字母F在视网膜上颜色分析 Ki"o0u 脚本代码 q')MKR* .%iJin" Option Explicit 'Remove this to enable non-dimensioned variables to be used. rps2sXGr 0d%p<c Dim entity As T_ENTITY T==(Pw7R7 Dim op As T_OPERATION ~|7jz;$V Dim mat As T_MODELMATERIAL h.`U)6*?&N Dim A As Double cnrS.s= Dim pupilDiam As Double >*5+{~k~4 Dim eID As Long quvdm68 Dim parID As Long ylEQeN Dim count As Integer 0%9Nf!j Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double wGXnS"L! Dim tlens As Double, nlens As Double K1F,M9 0] Dim curv As Double, conic As Double :Y{aa1 Dim ok As Long Ot]Y/;K NvZ )zE Sub Main vWM3JH~a6 LHt{y3l] '用户输入对话框 NVTNjDF%s Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 z&"-%l.b@} TextBox 220,21,40,21,.TextBox1 'default: 0 P[.BK Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ]T3dZ`-( OKButton 40,91,90,21 j70]2NgX CancelButton 190,91,90,21 /p=9"? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 I^5T9}>Q TextBox 220,49,40,21,.TextBox2 'default: 4 gD[Fkq$] End Dialog e@-"B9~ Dim dlg As UserDialog g' xR$6t /<HEcB ok = Dialog (dlg) 3E!#?N|v .Q,IO CHk If ok=0 Then 'cancel button was pressed HlkG^:) Print "Execution cancelled." rt7Ma2tK End `o9vE0^T< End If 4)o_gm~6c4 z)Y<@2V*C 'Assign accommodation and pupil diameter & use defaults if field left empty =ZsM[wd If dlg.TextBox1 = "" Then yMQuM:d A = 0 'Default accommodation N}Ol`@@#h Else x,sMa*vd A = CDbl(dlg.TextBox1) H$:Z`CQt< End If x4PH-f-7 nt/+?Sj If dlg.TextBox2 = "" Then `Z3Qx~fx pupilDiam = 4 'Default pupil diameter /\%K7\ Else 6AZJ,Q\E@ pupilDiam = CDbl(dlg.TextBox2) v;E7UL
.w End If d(>7BV .b4_O
CGg Print " " z2m%L0 Print "Accommodation = " & A & " Diopters" FkdG@7Xf Print "Pupil Diameter = " & pupilDiam & " mm" p0KkPE">p4 $J/Z~(=JT ' Calculate new parameters with accommodation OIF0X! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness idwiM|.iU [<)/
c>Y Rant = 12.0 - 0.4*A 'Radius of anterior lens _YXk,ME!Q CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens oKIry
8'^N x?J-
{6k Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &%~2Wm CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ;79X#hI U9D4bn D tlens = 3.767 + 0.04*A 'Lens thickness `laaT5G\y KzRw)P nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction UTEUVcJ\ qll) 'Adjust parameters to account for accommodation D6iHkDTg S~\i"A)4 '************************************************************************* /znW$yh o 'Aqueous thickness (Position of Lens) (+<SR5,/3 '************************************************************************* z6)SaSYE eID = FindFullName( "Geometry.Arizona Eye.Lens" ) D nA}!s GetCustomElement eID, entity G:FP9 })OgsBk parID = FindFullName( "Geometry.Arizona Eye" ) 3K2`1+kBVG r5qp[Ss3F ' Delete any shift(s) in z ~X^L3=!vf count = 0 tT}*%A While GetOperationCount(eID)>count Y`S9mGR# GetOperation eID, count, op OO@ (lt If op.Type="ShiftZ" Then }/ 6Q3B DeleteOperation eID,count 5Sd+Cc count=count-1 Egv (n@1 End If &pS <4 count=count+1 +'abAST
t Wend 4P@Ak7iL(V &?mH[rG" 'Set new shift in Cf`s:A5<J op.Type = "ShiftZ" 5qkG~YO- op.val1 = taq }EmNSs`$r op.parent = parID UY*3b<F} AddOperation eID, op O/^7TBTn<r Print "Set aqueous humor thickness = " & taq-0.55 -W(O~AK =[!&&,c= '************************************************************************* G>{Bij44 'Radius and conic constant of anterior lens MXY[t '************************************************************************* 1hj']#vBu eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) B&&:A4 GetConic eID, entity, curv, conic *.wX9g9\ n7`R+4/s SetConic eID, entity, 1/Rant, CCant K!6k< Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Q=lQ y u1F@VV{ '************************************************************************* Jrd:6Z 'Radius and conic constant of posterior lens K1 M s '************************************************************************* Al="ss&2 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) yTWP1 GetConic eID, entity, curv, conic J[rpMQ \ Tf845 SetConic eID, entity, 1/Rpost, CCpost LutP&Ebt8 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Uk=jQfA*J Sw<@u+Z;% '************************************************************************* 6@?4z
Rkz 'Lens thickness (Position of posterior lens surface) ;
F% 3b47 '************************************************************************* RnV
)* x5vvY parID = FindFullName( "Geometry.Arizona Eye.Lens" ) A{mv[x-XN ohqi4Y!j/~ ' Delete any z-shift(s) _NQMi4 V( count = 0 wP.b2X_V While GetOperationCount(eID)>count UN'[sHjOnD GetOperation eID, count, op OnE#8*8 If op.Type="ShiftZ" Then d 6 t#4! DeleteOperation eID,count 25%[nkO4 count=count-1 m,KG}KX End If (055>D6 count=count+1 S%zn {1F Wend .}Va~[0j 9frLYJz" 'Set new z-shift [%'yHb~< op.Type = "ShiftZ" ;5qZQ8`4 op.val1 = tlens 33dHTV op.parent = parID aI]EwVz-q AddOperation eID, op U_ELeW5@ Print "Set lens thickness = " & tlens ^6R?UG;6 Os--@5e '************************************************************************* Z _W.iBF 'Lens index of refraction qScc~i Oq '************************************************************************* ^]}+s( eID = FindMaterial( "Lens" ) gE$D#PZa GetModelMaterial eID, mat o
NX-vN- aMdWT4 mat.Nd = nlens 7M;7jI/C SetModelMaterial eID, mat Q-<N)K$F(4 Print "Set lens index of refraction = " & nlens [@YeQ{ zvjp]yTx" '************************************************************************* ,@1rP 55 'Pupil diameter 57 (bd0@8 '************************************************************************* %mKM9>lf# eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) T%|{Qo<j F(+,M~ 'Adjust pupil diameter (trimming volume inner hole) Gf` `0F) vz'/]E SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 4eOS+& 9yla &XTD ' Adjust pupil location to just in front of the lens
i+r h&, parID = FindFullName( "Geometry.Arizona Eye" ) L-.
+yNX) eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) f@Oi$9CZn count = 0 66ULR&D8 While GetOperationCount(eID)>count Sep/N"7~t GetOperation eID, count, op d)hA'k If op.Type="ShiftZ" Then
X0a)6HZ{ DeleteOperation eID,count ;ED` 7 count=count-1 [_kis End If Lg6;FbY? count=count+1 KV&4Ep# Wend O^/z7, op.Type = "ShiftZ" C8dC_9 op.val1 = taq-0.01 g~ubivl2 op.parent = parID ;5S'?fj AddOperation eID, op FYe#x]ue r xlKoa Print "Set pupil diameter = " & pupilDiam Q`= ,&;T> Lt'FA 'Update AZ Eye subassembly Description [%?ViKW eID = FindFullName( "Geometry.Arizona Eye" ) mf4C68DI@u GetEntity eID, entity p;nRxi7' entity.Description = "Accommodation = " & A & "D" ^HiI SetEntity eID, entity EhWYFQ b{
M'aV Update r@WfZZ Print "DONE!" U+[ p>iP dMw7UJ End Sub g/3t@7*< <PMQ$s>KK 如果屈光度是4,光瞳直径是4,则会输出如下数据: #/"?.Z;SSH PvHX#wJ Accommodation = 4 Diopters UO~Xzx!e Pupil Diameter = 4 mm =&8 Cg Set aqueous humor thickness = 2.81 Kg8n3pLAX Set anterior lens radius = 10.4 and conic constant = -2.375869 *OM+d$l! Set posterior lens radius = -4.424557 and conic constant = -3.081019 e-E0Bp Set lens thickness = 3.927 hiT&QJB` _ Set lens index of refraction = 1.42672 b+/z,c6w Set pupil diameter = 4 bz'#YM DONE! 7cMHzhk^ ;rj|> Bjc<d,]
QQ:2987619807 Ns2<wl-
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