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简介 , [xDNl[Y| 0!YB.=\{_q 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。 C3^QNhv ,c#=qb8"" 模型 =#||&1U$ u;m[, 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。 #y }{ 'rF? ^T83E} Table 1. AZ眼睛模型的定义 S+G!o]&2 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. B>}=x4-8 \*Roa&<! 光源 KiU/N$E Sdl1k+u 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 SnsOuC5Ah bLyU; x}t,v.: 图1. 光源和提示信息使用 #%t&f"j2 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 AvF:$kG e"9u}-Q@ 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。 dGf:0xE" c+:LDc3!Gb 图2. 字母F光源的设定方法光 GMqeC :=q blc 图3. 字母F在视网膜上位置点列图 }!=}g|z#| 视网膜的散射 w8$rt ag Za+a 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。 dLb9p"EE# #-b0U[,. o RT<h 图4. 视网膜朗伯散射设定 Ml`tDt|; 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。 Vsh7>|@ y5;l?v94 6% +s` 图5. 视网膜重点采样规格设定 "RPX_ 脚本 rv>K0= t0 P|mV((/m4 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: M>H4bU( ^+Ho#] 图6. 用户对话框的创建与编辑 $6\-8zNk 图7. 用户对话框编辑器 "YLH]9"= 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 B^'Uh+Y 余下的脚本计算与屈光度有关的所有参数。 NPjh2 AJm )U4h?J 分析 5r1{l%? B{IYVviiP 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 6n9;t\'Gt S,&tKDJn 图7. 字母F在视网膜上颜色分析 joaf0 脚本代码 ('1k%`R% E8]PV,#xY Option Explicit 'Remove this to enable non-dimensioned variables to be used. Q8:`;W u+7B-l=u* Dim entity As T_ENTITY rTJv>Jjld Dim op As T_OPERATION oS'M Dim mat As T_MODELMATERIAL ![O@{/ Dim A As Double p)M\q fZ Dim pupilDiam As Double =}@m$g Dim eID As Long qK
,mG{ Dim parID As Long JM8s]& Dim count As Integer G$\2@RT9[ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double H*U\P 2C!) Dim tlens As Double, nlens As Double bI^zwK,@4 Dim curv As Double, conic As Double USVM' ~p I Dim ok As Long *,9.Bx* g*9jPwdG Sub Main \Yv<TzJ9 4uip!@$K '用户输入对话框 A[juzOn\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 zdA:K25" TextBox 220,21,40,21,.TextBox1 'default: 0 1\d$2N" Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 }vOUf#^k OKButton 40,91,90,21 )=\W
sQ CancelButton 190,91,90,21 SU, t,i Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 +NRn>1] TextBox 220,49,40,21,.TextBox2 'default: 4 ZyqTtA!A End Dialog YBgHX [q Dim dlg As UserDialog b~ ?TDm7 Y^gK^?K ok = Dialog (dlg) T6f{'.w ;_0)f If ok=0 Then 'cancel button was pressed 9E_C
u2B Print "Execution cancelled." P9J3Ii! End |dNtM ^ End If V"VWHAu*.w *?oQ6g(Nz 'Assign accommodation and pupil diameter & use defaults if field left empty =5&)^ If dlg.TextBox1 = "" Then !D%*s,t\' A = 0 'Default accommodation EU, 4qO Else bIizh8d? A = CDbl(dlg.TextBox1) |6B:tw/. End If <W,k$|w /#$bb4 If dlg.TextBox2 = "" Then ,$3 pupilDiam = 4 'Default pupil diameter e%G-+6 Else (?R pupilDiam = CDbl(dlg.TextBox2) tH:ea$A End If lf|e8kU\f ?OKm~ Ek Print " " [RD ^@~x Print "Accommodation = " & A & " Diopters" *cp|lW!ag Print "Pupil Diameter = " & pupilDiam & " mm" wRPBJ-C) ~1Tz[\H#R ' Calculate new parameters with accommodation sNvT0 taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness $},:z]%D D0i84I`Z% Rant = 12.0 - 0.4*A 'Radius of anterior lens 5?;'26iC CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens [&nwB!kt O%o#CBf0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens |@nvg>mu CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens .ET;wK F:pXdU-xf tlens = 3.767 + 0.04*A 'Lens thickness U_}$QW0' (dMFYL>YP nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction qoZ* sV #-'}r}1ZT 'Adjust parameters to account for accommodation 18[f_0@ # Y ga}8DU '************************************************************************* Qlb@A z 'Aqueous thickness (Position of Lens) u~s'<c+8_ '************************************************************************* ys#M*
{? eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n[4Nu`E9 GetCustomElement eID, entity S_bay8L1 /kw4":{] parID = FindFullName( "Geometry.Arizona Eye" ) ik$wS#1+L ?G?=,tV ' Delete any shift(s) in z x *qef_Hu count = 0 raqLXO!j While GetOperationCount(eID)>count h.?[1hT4R GetOperation eID, count, op Q|ik\ If op.Type="ShiftZ" Then gE
,j\M* DeleteOperation eID,count @\"*Z&]8z0 count=count-1 8W$="s2 End If N!h>fE` count=count+1 .\d0lJSr Wend xJ"Zg]d{ %eV`};9 'Set new shift in Qy70/on9 op.Type = "ShiftZ" |wLQ)y* op.val1 = taq ;etQ op.parent = parID I2W2B3D` c AddOperation eID, op iit`'}+U Print "Set aqueous humor thickness = " & taq-0.55 ;
zv nDo x ^LNc '************************************************************************* Dw#&x/G 'Radius and conic constant of anterior lens
=#V11j '************************************************************************* ZGbZu eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) B_&PK7vA GetConic eID, entity, curv, conic ho20>vw# |M?HdxPa SetConic eID, entity, 1/Rant, CCant %nC Uct@c Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ^KaMi_-- f2u2Ns0Ym '************************************************************************* YHA[PF
'Radius and conic constant of posterior lens BdKtpje '************************************************************************* O.E0LCABC eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) *]eZ Y GetConic eID, entity, curv, conic .UYpPuAkn b910Z?B^L SetConic eID, entity, 1/Rpost, CCpost U .Od Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost OZ" <V^"` iN*>Z(b" '************************************************************************* ry\']\k 'Lens thickness (Position of posterior lens surface) mr1}e
VM~! '************************************************************************* d<Os TA s z\RmX parID = FindFullName( "Geometry.Arizona Eye.Lens" ) X]fw9tZ f3N:MH-c ' Delete any z-shift(s) (*RybKoaA count = 0 W.|6$hRl) While GetOperationCount(eID)>count e%U*~{m+ GetOperation eID, count, op tTt3D]h(
If op.Type="ShiftZ" Then 3ngLEWT DeleteOperation eID,count _PM<25Y,@ count=count-1 Q
8rtZ End If qX(%Wn;n count=count+1 `X='g96C1 Wend h)rf6*hw 8zC k9& 'Set new z-shift .m?~TOR op.Type = "ShiftZ" sZ"U=6R op.val1 = tlens F}]_/cY7B op.parent = parID $3'+V_CZ3 AddOperation eID, op ql~{`qoD~ Print "Set lens thickness = " & tlens EYxRw n^\;*1%$c@ '************************************************************************* U
0RfovJ 'Lens index of refraction io{H$ x( '************************************************************************* CS\tCw\Y eID = FindMaterial( "Lens" ) U"+ ry.3` GetModelMaterial eID, mat 1Wk
EPj, 3Jm'q,TC mat.Nd = nlens pPqN[OJ SetModelMaterial eID, mat 1[BvHOI2 Print "Set lens index of refraction = " & nlens q#*6 )B SrtVoe[ '************************************************************************* &}0wzcMg 'Pupil diameter B21AcE '************************************************************************* CQHp4_ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M`P]cX)x 5@D7/$bLp
'Adjust pupil diameter (trimming volume inner hole) g#bu_E61B -;)SER3Wq4 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" z|]oM#Gt C^" Hj ' Adjust pupil location to just in front of the lens Gr"7w[|+ parID = FindFullName( "Geometry.Arizona Eye" ) fuD1U}c eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) c =N]!
,MO count = 0 gn W~KLqH While GetOperationCount(eID)>count W
B*`zCM GetOperation eID, count, op 3.<6;? If op.Type="ShiftZ" Then gLaO#cQ% DeleteOperation eID,count #1't"R+3M count=count-1 ju^"vw End If vYSetAdv count=count+1 BY4 R@) Wend R'9@A\7# op.Type = "ShiftZ" ^Em@6fz[ op.val1 = taq-0.01 L_~I~ op.parent = parID ^wO_b'@v AddOperation eID, op `F2*o47|t 1V**QSZ1 Print "Set pupil diameter = " & pupilDiam QBfhyo_ =tf@4_ 'Update AZ Eye subassembly Description urrO1 eID = FindFullName( "Geometry.Arizona Eye" ) V8nz-DL{ GetEntity eID, entity DYAwQ"i;6 entity.Description = "Accommodation = " & A & "D" UL)" SetEntity eID, entity (pE\nuA\ tIxhSI^ Update 5y(t`Fmt
Print "DONE!" #Z|%0r_~ dT hn? End Sub Iuu<2#gb8" .Y u<% 如果屈光度是4,光瞳直径是4,则会输出如下数据: o\@ A2r3 ;z.6'EYMG Accommodation = 4 Diopters
ko=aa5c Pupil Diameter = 4 mm d`?U!?Si Set aqueous humor thickness = 2.81 <}28=d Set anterior lens radius = 10.4 and conic constant = -2.375869 OX)#F'Sl} Set posterior lens radius = -4.424557 and conic constant = -3.081019 F@=e2e
4 Set lens thickness = 3.927 $f<eq7rRe Set lens index of refraction = 1.42672 +,&m7L Set pupil diameter = 4 cy=I0 DONE! lfxuc7Rdla N{1.gS /*u#Ba<< QQ:2987619807 x[vpoB+c
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