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简介 q)F@f / ){M)0,: 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。 Pf?zszvs >VE!3' /' 模型 \*r]v;NcP ?c0@A*:o 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。 QP={b+8 i4g99Kvl Table 1. AZ眼睛模型的定义 ,Srj38p 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. bi<?m^j 0'nY 光源 H]a@"gO q*pWx]Y 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。 `ZLA=oD IuOY.c2.u ecqL;_{o 图1. 光源和提示信息使用 WVkJ=r0Ny 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。 iL\eMa vN8Xq+ 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。 YgCSzW&( lr-:o@q{ 图2. 字母F光源的设定方法光 A{(<#yRfg NkYU3[m$v 图3. 字母F在视网膜上位置点列图 m!H7;S-( 视网膜的散射 4.o[:5' \4FKZ>1+R 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。 ge@ KopZ& |j>fsk~ YLAGTH0.] 图4. 视网膜朗伯散射设定 go[(N6hN 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。 n>##,o|Vr# RLL2'8"A 0X:
:<N@ 图5. 视网膜重点采样规格设定 18{" @<wIs 脚本
k\wcj^"cb A3cW8OClz 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: tiHP?N U 4Px 图6. 用户对话框的创建与编辑 ^N2N>^'&1. 图7. 用户对话框编辑器 $%5f 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。 jn/
J-X= 余下的脚本计算与屈光度有关的所有参数。 +i1\],7 P3u,)P& 分析 1}>u Y I6B4S"Q5< 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 p#6V|5~8 /'uFX, 图7. 字母F在视网膜上颜色分析 Qin;{8I0 脚本代码 :Tu%0="ye d(> Option Explicit 'Remove this to enable non-dimensioned variables to be used. -|\SNbPTV , U?W Dim entity As T_ENTITY U2@Mxw Dim op As T_OPERATION 4Bc< Dim mat As T_MODELMATERIAL u{>_Pb Dim A As Double $hGiI Dim pupilDiam As Double @*{sj`AS
' Dim eID As Long zbM*/:Y Dim parID As Long H6Qb]H.C Dim count As Integer ;;cPt44s Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double hD I}V1) Dim tlens As Double, nlens As Double KWzJ Dim curv As Double, conic As Double fj,]dQT Dim ok As Long Y\pRk6, !?%'Fy6t Sub Main ;s(uaC3 $k=5nJ '用户输入对话框 tUR9ti Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 n;+e( ob;; TextBox 220,21,40,21,.TextBox1 'default: 0 sH}q &= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 y5AJ1A6?E OKButton 40,91,90,21 E
02l=M CancelButton 190,91,90,21 ,O[Maj/ch Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 V`;$Ua;y TextBox 220,49,40,21,.TextBox2 'default: 4 +&:?*(?Q End Dialog us,1:@a)a Dim dlg As UserDialog P
O{1u%P u^{6U(% ok = Dialog (dlg) IC:wof " yk<$XNc If ok=0 Then 'cancel button was pressed !"e~HZmr Print "Execution cancelled." Q#$#VT!F End tEE1`10Mt End If
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*AI 7:>VH>?D 'Assign accommodation and pupil diameter & use defaults if field left empty Y3J;Kk#AH If dlg.TextBox1 = "" Then V7qc9Gd@I A = 0 'Default accommodation NX5A{ Else aTx*6;-PH A = CDbl(dlg.TextBox1) qauZ-Qoc9 End If +#|):aF :y!%GJW If dlg.TextBox2 = "" Then AvNU\$B4aG pupilDiam = 4 'Default pupil diameter ZJ7<!?6 Else %}*0l8y pupilDiam = CDbl(dlg.TextBox2) G L> u3K End If xWa96U[ hDf|9}/UQd Print " " l`}Ag8Q Print "Accommodation = " & A & " Diopters" cIIt ;q[ Print "Pupil Diameter = " & pupilDiam & " mm" k;?Oi?] dT9ekNQB ' Calculate new parameters with accommodation 0B;cQSH!q taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness H"g$qSx q:9#Vcw Rant = 12.0 - 0.4*A 'Radius of anterior lens jW G=k#WN CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens sMikTwR/^ H%*<t} Rpost = -5.224557 + 0.2*A 'Radius of posterior lens {MaFv CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ZPISclSA+
Q6|~ks+Y tlens = 3.767 + 0.04*A 'Lens thickness |4F3Gu >,JA=s nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ,VM)ZK=Tr Du3nK"-g 'Adjust parameters to account for accommodation HcrI3v|6 T|c9Swur '************************************************************************* t`XYY 'Aqueous thickness (Position of Lens) f#W5Nu'*! '************************************************************************* ~
}<!ON; eID = FindFullName( "Geometry.Arizona Eye.Lens" ) TyCMZsvM, GetCustomElement eID, entity +foyPj!% J"x M[c2 parID = FindFullName( "Geometry.Arizona Eye" ) ThLnp@ C98 Ks ' Delete any shift(s) in z 7D;g\{>M count = 0 >9S@:?^&q> While GetOperationCount(eID)>count ^:0epj7 GetOperation eID, count, op UBUZ}ZIbN If op.Type="ShiftZ" Then (v\Cv)OS DeleteOperation eID,count B>11 count=count-1 R tR5ij1 End If r`THOj\cM count=count+1 Y68T&swD Wend r="wd J:YFy-[w( 'Set new shift in WaVP+Ap op.Type = "ShiftZ" }/%(7Ff{ op.val1 = taq }wJDHgt]-p op.parent = parID <V3N!H_d AddOperation eID, op H nRd Print "Set aqueous humor thickness = " & taq-0.55 ;(kU:b|j AU@XpaPWh '************************************************************************* *Q<%(JJ 'Radius and conic constant of anterior lens 39W6"^q"o '************************************************************************* %EZG2J jO) eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) !zw)! rV= GetConic eID, entity, curv, conic 8%UI<I, y<G@7? SetConic eID, entity, 1/Rant, CCant 1|L3} 2 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ?Afx{H7 +M+ht '************************************************************************* O MEPF2: 'Radius and conic constant of posterior lens XeaO,P '************************************************************************* aqjS 5!qh eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) }NMkL l]J GetConic eID, entity, curv, conic V01-n{~G JZ[~3swR SetConic eID, entity, 1/Rpost, CCpost k-LB %\p Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost s^nwF> D3LW49
'************************************************************************* b@OL!?JP 'Lens thickness (Position of posterior lens surface) }ST9&wi~ '************************************************************************* (9N75uCa H4HWr6 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) "RG.27 acWm+ ' Delete any z-shift(s) GdqT4a\S count = 0 [TPr While GetOperationCount(eID)>count Wmp,,H GetOperation eID, count, op silTL_$ If op.Type="ShiftZ" Then P5+FZzQ DeleteOperation eID,count Q?GmSeUi count=count-1 9w
-t9X>X End If (;o,t?:d count=count+1 0u4:=Z}W Wend =kq!e ':71;^zXf 'Set new z-shift Q"UQv< op.Type = "ShiftZ" a G^kL op.val1 = tlens M"OXNPkc op.parent = parID m8F-#?~ AddOperation eID, op $=f,z>j Print "Set lens thickness = " & tlens =N,Mmz% Et~b^8$> '************************************************************************* iK{q_f\" 'Lens index of refraction u%?u`n2' '************************************************************************* -}|GkTM eID = FindMaterial( "Lens" ) o~!4& GetModelMaterial eID, mat bsVms,& 6ae mat.Nd = nlens '8>h4s4 SetModelMaterial eID, mat Ti`<,TA54 Print "Set lens index of refraction = " & nlens >kOc a q:sDNj)R\ '************************************************************************* Y W_E,A>h 'Pupil diameter "6rZn_H/| '************************************************************************* X&DuX %x0 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) n
m(yFX?= AfW63;kH 'Adjust pupil diameter (trimming volume inner hole) Gxfw!aF~ )k0e} SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i.2O~30ST h-h U=I8 ' Adjust pupil location to just in front of the lens t$=FcKUV}f parID = FindFullName( "Geometry.Arizona Eye" ) pHFlO!#]| eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Pi::cf>3 count = 0 &3v{~Xg) While GetOperationCount(eID)>count on(P GetOperation eID, count, op 7t`<`BY^ If op.Type="ShiftZ" Then k9UmTvX DeleteOperation eID,count 2#&9qGR count=count-1 D4'"GaCv End If (WiA count=count+1 "{;]T Wend x^_Wfkch] op.Type = "ShiftZ" Mh'QD)28c op.val1 = taq-0.01 r:K)Q@ op.parent = parID b6_*ljM AddOperation eID, op C3-l(N1O{ 65AXUTg Print "Set pupil diameter = " & pupilDiam =N01!?{ (FZL> 'Update AZ Eye subassembly Description ^ cN- eID = FindFullName( "Geometry.Arizona Eye" ) 8
W8ahG} GetEntity eID, entity gVCkj!{ entity.Description = "Accommodation = " & A & "D" _dppUUm SetEntity eID, entity Pgf$GXE u,[Yaw"L Update M]!\X6<_ Print "DONE!" ;&e5.K+.Z w( `X P End Sub Mo
&Ia6^ lJoMJS;S]} 如果屈光度是4,光瞳直径是4,则会输出如下数据: F0:Fv; 5b9_6L6 Accommodation = 4 Diopters &q1(v3cOO Pupil Diameter = 4 mm 5R4h9D5 Set aqueous humor thickness = 2.81 oju/%ieh Set anterior lens radius = 10.4 and conic constant = -2.375869 <oV
_EZ Set posterior lens radius = -4.424557 and conic constant = -3.081019 U6FM`w< Set lens thickness = 3.927 `d6
{Tli Set lens index of refraction = 1.42672 z_!P0` Set pupil diameter = 4 (Z.K3 DONE! "m})~va TJ7on.; Svn|vH QQ:2987619807 ?yddr`?W
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