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简介 .wm<l: |OF3J,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。 RToX[R;1E \iEJ9V 模型 J=^5GfM)J {XhpxJ__ 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。 N]c:8dOj ]6=opvm Table 1. AZ眼睛模型的定义 <9=RLENmY" 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. Q(8W5Fb? ~c1~)QzZ 光源 _;(QMeR TKw>eGe 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。 ?aG ~E @J@bD+Q+0 n!b*GXb\ 图1. 光源和提示信息使用 S9/\L6Rmf 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。 1d.>?^uE OK}8BY 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。 Q"xDRQA _x#r,1V+D 图2. 字母F光源的设定方法光 CA"`7<, g=v[@{9Pw 图3. 字母F在视网膜上位置点列图 SR)@'-Wd 视网膜的散射 yNx"Ey dk` <* PjG}Z. 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。 t^9q>[/d` ER$~kFE2yP 1 gRR 图4. 视网膜朗伯散射设定 QPF[D7\ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Ug O \+cI Z3T26Uk JY>I 图5. 视网膜重点采样规格设定 'Uo:b< 脚本 2gjA>ET`N gD fVY%[Z 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: e''Wm.>g(+ CV7.hF< 图6. 用户对话框的创建与编辑 X_|} b[b 图7. 用户对话框编辑器 }W%}_UT 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 s*}d`"YvH 余下的脚本计算与屈光度有关的所有参数。
})w5`?Y f.r-,%^6{ 分析 0P53dF G}~b 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 %nc+VL4 (C QgT3V 图7. 字母F在视网膜上颜色分析 z#*GPA8Em: 脚本代码
ae1fCw3k ~JT{!wcE}o Option Explicit 'Remove this to enable non-dimensioned variables to be used. ~GY;{ J5rR?[i{ Dim entity As T_ENTITY Kd,m;S\ Dim op As T_OPERATION bmddh2 Dim mat As T_MODELMATERIAL QnOa?0HL/ Dim A As Double CGg6n CB Dim pupilDiam As Double ,|c_l) Dim eID As Long z?YGE iR/} Dim parID As Long cRfX Dim count As Integer T@HozZ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;NPb Dim tlens As Double, nlens As Double ,>jm|BTD { Dim curv As Double, conic As Double
nocH~bAf2 Dim ok As Long KJkcmF}Q FRF}V@~ Sub Main rC*n Z* 4-n.4j| '用户输入对话框 u})JQ<| Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 1!NaOfP;@ TextBox 220,21,40,21,.TextBox1 'default: 0 #5I "M WA Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 2I4P":q OKButton 40,91,90,21 +1623E CancelButton 190,91,90,21 [E /3&3 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 JuI,wA TextBox 220,49,40,21,.TextBox2 'default: 4 f3h9CV End Dialog J/*[wj Dim dlg As UserDialog nBj7 Q!lW ]-`{kX ok = Dialog (dlg) y@z#Jw< 8ksDXf`. If ok=0 Then 'cancel button was pressed JZ7-?
o Print "Execution cancelled." 7I
End cK } Qu End If = @f;s<v/ 3WVHI$A9 'Assign accommodation and pupil diameter & use defaults if field left empty `jkn*:m If dlg.TextBox1 = "" Then g<-cHF A = 0 'Default accommodation ~!OjdE!u Else sOW|TN>y\ A = CDbl(dlg.TextBox1) 3N21[i2/m End If Pg36'aTe%j IR&u55#I6 If dlg.TextBox2 = "" Then U|QDV16f pupilDiam = 4 'Default pupil diameter -d~'tti Else WveFB%@`; pupilDiam = CDbl(dlg.TextBox2) V]2z5u_q End If (qrT0D6 ;sf/tX Print " " 3PGyqt( Print "Accommodation = " & A & " Diopters" 2P}RZvUd Print "Pupil Diameter = " & pupilDiam & " mm" A0ToX) |C m @%|Q; ' Calculate new parameters with accommodation (r4\dp& taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ]lY9[~
v jo*9QO Rant = 12.0 - 0.4*A 'Radius of anterior lens \zUsHK?L"t CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ccSS au5N O#\>j Rpost = -5.224557 + 0.2*A 'Radius of posterior lens g]#Wve CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens luT8>9X^:a 5,Y2Lzr tlens = 3.767 + 0.04*A 'Lens thickness h(-&.Sm")H ^d*>P|n*@e nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction Dhoj|lc ~}*;Ko\ 'Adjust parameters to account for accommodation jlBCu(.,_ @El<"\ '************************************************************************* jHCKV 'Aqueous thickness (Position of Lens) JPG!cX% '************************************************************************* M6sDtL9l eID = FindFullName( "Geometry.Arizona Eye.Lens" ) pg)g&ifKl GetCustomElement eID, entity o{p_s0IX;S B(LV22# parID = FindFullName( "Geometry.Arizona Eye" ) |Y11sDa9h rE:>G]j6 ' Delete any shift(s) in z eZi<C}z count = 0 "_j7kYAl While GetOperationCount(eID)>count YC<I|&" GetOperation eID, count, op pt#[.n#f If op.Type="ShiftZ" Then -huZnDN DeleteOperation eID,count N}G(pq} count=count-1 VHCzlg End If <*(R+to^d count=count+1 "S:N-Tf%U Wend +.I'U9QeUN P;&p[[7 'Set new shift in F.D1;,x op.Type = "ShiftZ" 5QJL0fc op.val1 = taq 17oxD op.parent = parID UAZ&*{MM^ AddOperation eID, op !++62Lf Print "Set aqueous humor thickness = " & taq-0.55 (02(:;1 ASw|sw '************************************************************************* J
*?_SnZ 'Radius and conic constant of anterior lens 0pa^O$?p '************************************************************************* Ai18]QD- eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6~WE#z_ GetConic eID, entity, curv, conic wf%Ep#^6} f*}E\,V"& SetConic eID, entity, 1/Rant, CCant %)Dd{|c Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant d|RmU/) ZS]f+}0/} '************************************************************************* T
l(uqY?9 'Radius and conic constant of posterior lens v^fOT5\ '************************************************************************* L"%eQHEC& eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) m?$G(E5 GetConic eID, entity, curv, conic x)ZH;) Gw^=kzh SetConic eID, entity, 1/Rpost, CCpost Ilb
|:x"L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost XF$]KAL0 3>)BI(Wl '************************************************************************* z|)1l` 'Lens thickness (Position of posterior lens surface) {NgY8wQB '************************************************************************* v=1S }p?V5Qp parID = FindFullName( "Geometry.Arizona Eye.Lens" ) arVf"3a B-'BJ|*4I ' Delete any z-shift(s) M|e
n>P count = 0 xGv,%'u\ While GetOperationCount(eID)>count _kX/LR"L+ GetOperation eID, count, op mIEaWE;E" If op.Type="ShiftZ" Then ![ID0}MjJ DeleteOperation eID,count }IkEyJsk count=count-1 p+UHJ& End If b:cK >fh0_ count=count+1 1";e'?^x Wend l!V| T? +{i"G,3 'Set new z-shift (A fbS=[ op.Type = "ShiftZ" ]{+M>i[ op.val1 = tlens }SN44 di( op.parent = parID qZ_fQ@ AddOperation eID, op ,h.Jfo54, Print "Set lens thickness = " & tlens UH&1c8y} @<TZH '************************************************************************* U{uWk3I_b 'Lens index of refraction G:C6`uiy` '************************************************************************* }6,bq`MN eID = FindMaterial( "Lens" ) A6 y~_dt GetModelMaterial eID, mat ! vVjZ (i0"hi mat.Nd = nlens ^
R^N`V SetModelMaterial eID, mat [piF MxZP Print "Set lens index of refraction = " & nlens Yn]yd1 s5aOAyb*w '************************************************************************* fZ~kw*0* 'Pupil diameter >c\v&k>6. '************************************************************************* Sb9=$0%\ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) m<,G:?RM akc"}+-oX 'Adjust pupil diameter (trimming volume inner hole) r]O@HVbt$ m-S33PG{ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" -WBz]GW4r '[yqi1
& ' Adjust pupil location to just in front of the lens b|8>eY parID = FindFullName( "Geometry.Arizona Eye" ) Q()RO*9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) m/c&/6nk count = 0 g6/N\[b% While GetOperationCount(eID)>count MD
?F1l"}% GetOperation eID, count, op cvXI]+`<3\ If op.Type="ShiftZ" Then -,fa{ yt- DeleteOperation eID,count uyRA`<&w count=count-1 )C01fZhD End If %v+fN?%x,d count=count+1 (06Vcqg Wend eo*u(@ op.Type = "ShiftZ" .m]=JC5' op.val1 = taq-0.01 ~UJu
@M op.parent = parID e(; `9T AddOperation eID, op :_QAjU JGO$4DK-1 Print "Set pupil diameter = " & pupilDiam $sL|'ZMbS 8K JQ( 'Update AZ Eye subassembly Description ['OCw {< eID = FindFullName( "Geometry.Arizona Eye" ) )lDIzLp GetEntity eID, entity #u<oEDQ entity.Description = "Accommodation = " & A & "D" 7fW=5wc SetEntity eID, entity eFj6p< 01{r^ZT`RH Update {Sr=SE Print "DONE!" _[{:!?-? ldCKSWIi- End Sub F@K*T2uh 0nD=|W\@{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: bhqq N{hF [F Accommodation = 4 Diopters @
Zgl> Pupil Diameter = 4 mm R<lNk< Set aqueous humor thickness = 2.81 A M1C
$ Set anterior lens radius = 10.4 and conic constant = -2.375869 ^`jZKh8)h Set posterior lens radius = -4.424557 and conic constant = -3.081019 C>:/(O Set lens thickness = 3.927 }rY?=I Set lens index of refraction = 1.42672 eb.cq"C Set pupil diameter = 4 l\=-+'Y DONE! >: W-C{%
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