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简介 i7})VDsZ q]tPsX5{* 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。 .8CR
\- &|H?J,> 模型 `jJ5us S
1|[}nYP 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。 x<"e} Oo U\y];\~H Table 1. AZ眼睛模型的定义 /+Xv(B 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. mz[rB|v"/7 }(dhXOf\q 光源 `Y/DttjL `w]=xe 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。 (M6B$: 0W9,uC2:N uA:|#mO 图1. 光源和提示信息使用 IyYC).wU} 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。 *:3flJt qr(SAIX" 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。 C2,,+* v cI'&gT5 图2. 字母F光源的设定方法光 5FnWlFc vj^vzFb K 图3. 字母F在视网膜上位置点列图 j|KZ HH%dc 视网膜的散射 Zo22se0) R\MM2_I 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。 29pIO]8; |~CN]N 9~<HTH 图4. 视网膜朗伯散射设定 CfoSow- 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。 yEy}
PCJ& G1vWHa7n;f mKPyM<Q 图5. 视网膜重点采样规格设定 @P4fR7 脚本 ^x4I B+wSLi( 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: |SZRO,7x q/?#+d 图6. 用户对话框的创建与编辑 $k V^[ 图7. 用户对话框编辑器 b|wCR% 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。 W{At3Bfy 余下的脚本计算与屈光度有关的所有参数。 ?z171X0 AIF?+i%H} 分析 N0sf
V r@H<@Vuc 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 (+38z)f y1(smZU 图7. 字母F在视网膜上颜色分析 Xp{+){Iu 脚本代码 b"t!nfgo Ja|! fT Option Explicit 'Remove this to enable non-dimensioned variables to be used. "CB* WsTbqR)W% Dim entity As T_ENTITY $OHY^IE( Dim op As T_OPERATION
|%g^6RN Dim mat As T_MODELMATERIAL #q%xJ[ Dim A As Double D!ToCVos Dim pupilDiam As Double j Aw&5, Dim eID As Long )$I;)`q Dim parID As Long O$E3ry+? Dim count As Integer 9l@VxX68M Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double uR|Jn)/m( Dim tlens As Double, nlens As Double ,o]"G[Jk Dim curv As Double, conic As Double m\__Fl Dim ok As Long .ZFs+8qU> gdRwh Sub Main } '. l'% =4"D8UaHr '用户输入对话框 t]#y}V Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 4iBp!k7 TextBox 220,21,40,21,.TextBox1 'default: 0 G \?fWqx Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ec[S?- OKButton 40,91,90,21 r+217fS> CancelButton 190,91,90,21 suN{)" Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 KtU I(*$` TextBox 220,49,40,21,.TextBox2 'default: 4 ^1BQejD End Dialog ``)ys^V Dim dlg As UserDialog AdesR-e$R nKp='>Th ok = Dialog (dlg) ^<'5 V) r
ioNP( If ok=0 Then 'cancel button was pressed DF-`nD Print "Execution cancelled." OWxYV$ End z/)HJo2# End If ]vMr@JM-G IExo#\0'6 'Assign accommodation and pupil diameter & use defaults if field left empty $*V:;-H If dlg.TextBox1 = "" Then a?.hvI A = 0 'Default accommodation ykH?;Xu Else k]!Fh^O~, A = CDbl(dlg.TextBox1) ~C6d5\ End If Gy
hoo'< 1hw1AJ}(F If dlg.TextBox2 = "" Then Zj99]4?9 pupilDiam = 4 'Default pupil diameter 'due'|#^ Else 3k py3z[% pupilDiam = CDbl(dlg.TextBox2) s"#JBw\7 End If )Ge.1B$8h Mp^%.m Print " " E%t_17,=j Print "Accommodation = " & A & " Diopters" &[f.;1+C Print "Pupil Diameter = " & pupilDiam & " mm" ?D]4*qsIlu "ys#%,Z ' Calculate new parameters with accommodation o_p#sdt" taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness
jhjb)r. 4d#w} Rant = 12.0 - 0.4*A 'Radius of anterior lens Z|K+{{C CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens l69&-Nyg JziuwL5, Rpost = -5.224557 + 0.2*A 'Radius of posterior lens N@lTn}U CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 9"O z-!Y4 k3h,c; tlens = 3.767 + 0.04*A 'Lens thickness A9'
[x7N 1{i)7:Y nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction
I&?(=i)N 47.c 'Adjust parameters to account for accommodation ]ppi962Z D::$YR
~R '************************************************************************* fCdd,,,} 'Aqueous thickness (Position of Lens) 55MrsiW '************************************************************************* la:i!qAH eID = FindFullName( "Geometry.Arizona Eye.Lens" ) kNP.0 GetCustomElement eID, entity 0OO$(R* / PDe<p parID = FindFullName( "Geometry.Arizona Eye" ) bmgK6OyVR FtXd6)_S ' Delete any shift(s) in z +ntrp='7O7 count = 0 7pMQ1-( While GetOperationCount(eID)>count j&6'sg;n) GetOperation eID, count, op 6FNs4|(d If op.Type="ShiftZ" Then k~Qb"6n2 DeleteOperation eID,count 1t haQ" count=count-1 20750G End If ,S5tkTa count=count+1 H=Rqr Wend GxE"q-G VU3xP2c: 'Set new shift in
@ c,KK~{ op.Type = "ShiftZ" NSH20$A< op.val1 = taq >=Hm2daN op.parent = parID 0`.3`Mk AddOperation eID, op y`O !,kW Print "Set aqueous humor thickness = " & taq-0.55 mL/]an@Y $Y.Z>I; '************************************************************************* 4lhoA 'Radius and conic constant of anterior lens Jlw%t!Kx '************************************************************************* - 6a4H?L eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) [~03Z[_"/ GetConic eID, entity, curv, conic /+2;". u=NpL^6s< SetConic eID, entity, 1/Rant, CCant RzCC>- Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ,CqJ(( CA%p^ 4Q '************************************************************************* e FDhJ 'Radius and conic constant of posterior lens .J:04t1 '************************************************************************* y+xw`gR: eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) V^fSrW] GetConic eID, entity, curv, conic >^}nk04 Ncr38~;w SetConic eID, entity, 1/Rpost, CCpost a)J3=Z- Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 6(Za}H +p6cG\Gp '************************************************************************* EH))%LY1y 'Lens thickness (Position of posterior lens surface) k$
k/U '************************************************************************* B;Pws$J #U45H.Rz parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Q-([3% F7$x5h@ ' Delete any z-shift(s) N2:};a[ui5 count = 0 fFP>$ While GetOperationCount(eID)>count \Y.&G,? GetOperation eID, count, op UB[tYZ If op.Type="ShiftZ" Then 3 $7TeqfAC DeleteOperation eID,count fy|ycWW>8 count=count-1 .Rt_j
End If )6mx\t count=count+1 '5xf?0@s. Wend ?^]29p_ t}m6]; 'Set new z-shift ~5Wr
|qg%{ op.Type = "ShiftZ" P<P4*cOV op.val1 = tlens 7^$PauAv op.parent = parID $nN`K*% AddOperation eID, op KV1zx(WI Print "Set lens thickness = " & tlens w?_y;&sbR U-.?+` '************************************************************************* p\lS)9 'Lens index of refraction wI'8B{[ '************************************************************************* 4T#B7wVoM eID = FindMaterial( "Lens" ) |lH~nU.* GetModelMaterial eID, mat dm3cQ<0 ECHl9;
+ mat.Nd = nlens K"'W4bO#7 SetModelMaterial eID, mat OiPE,sv Print "Set lens index of refraction = " & nlens *&p `8: ""`>v`\ '************************************************************************* -$Bom 'Pupil diameter AWlR" p2 '************************************************************************* w)I!q&`Y eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \m @8$MK :x e/7 - 'Adjust pupil diameter (trimming volume inner hole) Bi?.w5 y[7*^9J SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Jp)>Wd bA]/p%rZ8 ' Adjust pupil location to just in front of the lens &.k'Dj2hf parID = FindFullName( "Geometry.Arizona Eye" ) MGn:Gj"d eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
KQsS)ju count = 0 bni :B?# While GetOperationCount(eID)>count Id8^6FLw GetOperation eID, count, op S-^y;#= If op.Type="ShiftZ" Then g Z3VT{ DeleteOperation eID,count vn;_|NeSf count=count-1 mo%9UL,#W End If .<JD'%?" count=count+1 R03V+t= Wend {E!"^^0` op.Type = "ShiftZ" 1g`$[wp| op.val1 = taq-0.01 cy=,Dr9O op.parent = parID $-""=O|" AddOperation eID, op ;OW`(jC :b+C<Bp64r Print "Set pupil diameter = " & pupilDiam #5HJW[9 $I(2}u?1+d 'Update AZ Eye subassembly Description 9:0JWW^so eID = FindFullName( "Geometry.Arizona Eye" ) <qH>[\ GetEntity eID, entity d!)
&@k entity.Description = "Accommodation = " & A & "D" uiq)?XUKv SetEntity eID, entity k,0RpE xM85^B' Update 7NG^X"N{Ul Print "DONE!" ^T\JFzV *LJN2; End Sub )W9$_<Z & i|x2;
v 如果屈光度是4,光瞳直径是4,则会输出如下数据: ~ar8e L+Q"z*W Accommodation = 4 Diopters jYKs| J)[ Pupil Diameter = 4 mm btb-MSkO Set aqueous humor thickness = 2.81 +) 2c\1 Set anterior lens radius = 10.4 and conic constant = -2.375869 ^! ^8]u<Q Set posterior lens radius = -4.424557 and conic constant = -3.081019 +s&+G![ Set lens thickness = 3.927 (1\!6 Set lens index of refraction = 1.42672 cw#p!mOi~ Set pupil diameter = 4 Mj5=t:MI DONE! -)@DH;[tb w#_xV
= .(Q3M0.D QQ:2987619807 88Yp0T<1
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