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简介 3~ZtAgih% 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。 4wBCs0NIm
NOQgkN 模型 5jsnE ) ga,yFw 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。 TY8 8PXW IC{>q3 Table 1. AZ眼睛模型的定义 (JM4W
"7' 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. \dfq&oyU\ -iW[cj
R`$ 光源 -|3U0:'m 7)a=B! 8M 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。 UIu'x_qc %d?%^)
u, F\]rxl4(L 图1. 光源和提示信息使用 Cu`ZgKLQ 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。 yDyq. -Q p(U'Ydl~ 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。 j$L<9(DoR ~q1s4^J 图2. 字母F光源的设定方法光 pw$I~3OFd 7C 4Njei" 图3. 字母F在视网膜上位置点列图 o+ tY[UX 视网膜的散射 CId`6W !W3Le$aL 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 4$|G$h 9Qkww&VEk 0<s)xaN>Y 图4. 视网膜朗伯散射设定 3^fZUldf 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 2`Pk@,:_ o%|1D'f^ -9Can4 图5. 视网膜重点采样规格设定 :]//{HF 脚本 .&[nS<~` qM9GW`CKA 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: A2vOI8 Bf-&[ 5N} 图6. 用户对话框的创建与编辑 nY*ODL 图7. 用户对话框编辑器 Z>D7C?v:( 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 V3`*LU 余下的脚本计算与屈光度有关的所有参数。 PD$'xY|1= cX&c% ~ 分析 Dnp^yqz* PNKmI 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 'kC $R;#\7 cKxJeM07 图7. 字母F在视网膜上颜色分析 RSnK`N\9jb 脚本代码 6=kd4'yV Og&2,`Jb Option Explicit 'Remove this to enable non-dimensioned variables to be used. HK-?<$Yc C )PN Dim entity As T_ENTITY 6#K_Rg>. Dim op As T_OPERATION SMhT>dB Dim mat As T_MODELMATERIAL .CYq+^ Dim A As Double Q7SS<'( Dim pupilDiam As Double x7*}4>|W,I Dim eID As Long QHQj6] Dim parID As Long g=%W"v Dim count As Integer '2
)d9_ w Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Jrffb=+b Dim tlens As Double, nlens As Double 'Gc6ZSLM Dim curv As Double, conic As Double wHY;Y-(ZT Dim ok As Long j[z\p~^ .O,gl$y} Sub Main fkI<RgM gz88$BT '用户输入对话框 T|}HK]QOX Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 bWyXDsr+ TextBox 220,21,40,21,.TextBox1 'default: 0 !sLn;1l Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 S\f^y8*< OKButton 40,91,90,21 JRNyvG>j CancelButton 190,91,90,21 b&e?
6h^G Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 p1&d@PF&& TextBox 220,49,40,21,.TextBox2 'default: 4 F>}).qx End Dialog oZ=e/\[K Dim dlg As UserDialog p"X\]g^jA> ypsCyDQK` ok = Dialog (dlg) QvqBT }tJ:-!*2 If ok=0 Then 'cancel button was pressed @9L%`=]b^ Print "Execution cancelled." Npu;f>g0_ End 1'd "O
@ End If 7.=u:PK7kM d82IEhZ# 'Assign accommodation and pupil diameter & use defaults if field left empty g3qtWS If dlg.TextBox1 = "" Then c"QI`;D_c A = 0 'Default accommodation v` B_xEl Else 2AlLcfAW A = CDbl(dlg.TextBox1) xqG`
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l End If k!%HcU%J N-NwGD{ If dlg.TextBox2 = "" Then qD9B[s8 pupilDiam = 4 'Default pupil diameter B8P%4@T Else zL_X?UmV pupilDiam = CDbl(dlg.TextBox2) wF&\@H End If aN7u
j In 1.R$O Print " " L@+j8[3BX Print "Accommodation = " & A & " Diopters" S-L6KA{ Print "Pupil Diameter = " & pupilDiam & " mm" $]hf2Yr( ZHB'^#b ' Calculate new parameters with accommodation H)4Rs~;{'g taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness bLUn0)c }%:?s6Ler Rant = 12.0 - 0.4*A 'Radius of anterior lens u}$U|Cw-;T CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 9np<r82 tG{Vn +~/ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens G3e%~ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 8pk5[=3Z V*/))n? tlens = 3.767 + 0.04*A 'Lens thickness Mc\lzq8\ 1 JlH|=nIaj6 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction fW\u*dMMZE -Zw"o> 'Adjust parameters to account for accommodation q6,xsO,+ 6Z'zB&hM} '************************************************************************* M0]fh5O 'Aqueous thickness (Position of Lens) %ZxKN ; '************************************************************************* w68qyG|wM eID = FindFullName( "Geometry.Arizona Eye.Lens" ) H;Bj\-Pa GetCustomElement eID, entity +6>Pp[% }M1<a4~ parID = FindFullName( "Geometry.Arizona Eye" ) 9R E;50h {vU '>pp ' Delete any shift(s) in z ;3-ssF}k* count = 0 G/D{K$=t~ While GetOperationCount(eID)>count Mu:H'$"'H GetOperation eID, count, op B
51LZP If op.Type="ShiftZ" Then _}\&; DeleteOperation eID,count T<ua0;7 count=count-1 ^@ux End If )/=J=xw2 count=count+1 2ru6bIb; Wend nd?m+C&W a:8@:d1T K 'Set new shift in s}A]lY op.Type = "ShiftZ" HY42G#^ op.val1 = taq 00Rk %QV op.parent = parID ?@u
&3/& AddOperation eID, op mHhm~u Print "Set aqueous humor thickness = " & taq-0.55 v|e\o~2D` !P;qc '************************************************************************* I?:V EN: 'Radius and conic constant of anterior lens >y=%o~ '************************************************************************* iUO5hdOM eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) kj[[78 GetConic eID, entity, curv, conic ~q9RZ#g13J *R:nB)(6< SetConic eID, entity, 1/Rant, CCant H4pjtVBr Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 0q3:"X 7z$+ *]9- '************************************************************************* ^.4<#Qs 'Radius and conic constant of posterior lens u|Ai<2b$ '************************************************************************* Z`f _e? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) k82'gJ;MC= GetConic eID, entity, curv, conic E^qKkl +I')>6 SetConic eID, entity, 1/Rpost, CCpost 4bKZ@r% Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost O=mJ8W@ 7j]@3D9[:p '************************************************************************* ~:0h o 'Lens thickness (Position of posterior lens surface) Xak~He '************************************************************************* yWs/~5[F `j2z=5 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .h6h&[TEU Z# :Ww ' Delete any z-shift(s) \gzNMI* count = 0 $;">/"7m While GetOperationCount(eID)>count #a0 (Wh7 GetOperation eID, count, op |GsLcUv6 If op.Type="ShiftZ" Then C2VZE~U+ DeleteOperation eID,count 4]g^aaQFd> count=count-1 4f1*?HX& End If aJfW75C count=count+1 6tJM*{$$H Wend ~vt8|OOo0 rN*4Y 'Set new z-shift yb]a p op.Type = "ShiftZ"
[g/g(RL op.val1 = tlens 4v{gc/g op.parent = parID "kL5HD]TC AddOperation eID, op r9QNE>UG Print "Set lens thickness = " & tlens 4RK^efnp \;sUJr"$ '************************************************************************* xOt|j4 'Lens index of refraction m/{rmtA4 '************************************************************************* Axcm~!uf eID = FindMaterial( "Lens" ) :xA'X+d/' GetModelMaterial eID, mat lKa}Bcd #\"5:.H Oz mat.Nd = nlens 08twcY;&k SetModelMaterial eID, mat LsmC/+7r$1 Print "Set lens index of refraction = " & nlens YlYTH_L>E Nc7YMxk'H '************************************************************************* S2Wxf>bt2 'Pupil diameter *v&g>Ni '************************************************************************* :JOF!Q eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m=#2u4H4 ){,8}(| 'Adjust pupil diameter (trimming volume inner hole) #]C r
zLe .qHgQ_% SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" e06r5%|.% 8
/\rmf\ ' Adjust pupil location to just in front of the lens *f,EDSN1@d parID = FindFullName( "Geometry.Arizona Eye" ) Bp b_y;E eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) GB{%4)%6 count = 0 F&uU
,); While GetOperationCount(eID)>count zIlQqyOQ8 GetOperation eID, count, op tewC *%3V If op.Type="ShiftZ" Then 6.k2,C4dT< DeleteOperation eID,count x&7!m
count=count-1 1|Fukx<@J< End If 1c\$ziB count=count+1 khyVuWN
Wend -ERDW Y op.Type = "ShiftZ" tW 9vo-{+ op.val1 = taq-0.01 jirxzj op.parent = parID :V >Z|?[*H AddOperation eID, op uRp-yu[nt% 9]|cs Print "Set pupil diameter = " & pupilDiam uv Z!3 UH. )K%AbKn 'Update AZ Eye subassembly Description }PoB`H'K5 eID = FindFullName( "Geometry.Arizona Eye" ) ] @IzJz"R GetEntity eID, entity Of-l<Ks\ entity.Description = "Accommodation = " & A & "D" p6sXftk SetEntity eID, entity \`x$@s? w%`7,du| Update teET nz_L Print "DONE!" uN'e~X6 Z~v.!j0 End Sub g"F vD_ P0|V1,) 如果屈光度是4,光瞳直径是4,则会输出如下数据: VBy=X\w] 2 y,f Accommodation = 4 Diopters 1*#64Y5F Pupil Diameter = 4 mm C?X^h{Tp Set aqueous humor thickness = 2.81 l+RBe<Mq Set anterior lens radius = 10.4 and conic constant = -2.375869 f7\$rx Set posterior lens radius = -4.424557 and conic constant = -3.081019 pYH#Vh Set lens thickness = 3.927 `n$pR8TZ_ Set lens index of refraction = 1.42672 )]?sCNb Set pupil diameter = 4 r
5:DIA! DONE! IL&Mf9m H71LJfH (文章来源:讯技光电)
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