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简介 yfU<UQ!1 P;PQeXKw 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。 &D%(~|' E,n}HiAz7V 模型 K/ &?VIi`z H A}f,),G 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。 B*htN :|o<SZ Table 1. AZ眼睛模型的定义 s] /tYJYl 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. c:83LZ jkiTj~WE- 光源 W)(^m},*8D )XQ`M?**M 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。 6 \B0^ J/7R\;q`~o 4h6k`ie!$ 图1. 光源和提示信息使用 ,:+dg(\r 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。 6.t',LTB >h Y"
3 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。 .kTG[)F0b 569}Xbc/ 图2. 字母F光源的设定方法光 -st7_3 1B*WfP~ 图3. 字母F在视网膜上位置点列图 M.h`&8 视网膜的散射 tU"raP^= 2!N8rHRt 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。 (I@bkMp hVjNZ }0,>2TTDN 图4. 视网膜朗伯散射设定 uH3D{4 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。 jQU"Ved 4Ij-Ilg)% B*!WrB:s 图5. 视网膜重点采样规格设定 0oy-os 脚本 W:i?t8y\y d@mo!zu 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: *zO&N^X.4 p}Fs'l?7Rq 图6. 用户对话框的创建与编辑 [NnauItI 图7. 用户对话框编辑器 iE0ab,OF 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。 _DRrznaw 余下的脚本计算与屈光度有关的所有参数。 \Mv":Lm1 WS& kx~oQ 分析 c41: !u^ %}2@rLP 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 -#-p1^v} s?WCnT 图7. 字母F在视网膜上颜色分析 DaNW~rd{ 脚本代码 57F%j3.|/ Uadr>#C* Option Explicit 'Remove this to enable non-dimensioned variables to be used. 9Qj2W P`U<7xF~ Dim entity As T_ENTITY ryO$6L Dim op As T_OPERATION "S~_[/q Dim mat As T_MODELMATERIAL HEK-L)S.
* Dim A As Double Ct$82J Dim pupilDiam As Double dsK&U\ej} Dim eID As Long Ju@Q6J5 Dim parID As Long "Clz'J]{ Dim count As Integer 'NZGQebK Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double m}VM+= Dim tlens As Double, nlens As Double N#N0Q0W= Dim curv As Double, conic As Double WUAJjds Dim ok As Long j-]&'-h}# SM[{BH< Sub Main IL7`0cN( >KGE-Yzj '用户输入对话框 3l!NG=R Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 D-9\~gvh TextBox 220,21,40,21,.TextBox1 'default: 0 `=tyN@VC Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 oFg5aey4 OKButton 40,91,90,21 :lcea6iO CancelButton 190,91,90,21 ^CzYDq Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ]^"k8v/ TextBox 220,49,40,21,.TextBox2 'default: 4 uK*Nu^ End Dialog eR']#Q46{T Dim dlg As UserDialog "YFls#4H- )"@t6. ok = Dialog (dlg) .uZ7 -l }{7e7tW6 If ok=0 Then 'cancel button was pressed _X5_ez^/= Print "Execution cancelled." @b!"joEy End HgJb4Fi End If !7H6i#g* O^{1RV3:,T 'Assign accommodation and pupil diameter & use defaults if field left empty L3y5 a?G If dlg.TextBox1 = "" Then r$)$n&j A = 0 'Default accommodation upn8n vy4( Else x49!{} A = CDbl(dlg.TextBox1) o|S)C<w End If aP~gaSx mAqDjRV1 If dlg.TextBox2 = "" Then _[Gb)/@mM pupilDiam = 4 'Default pupil diameter (4~WWU (iT Else hsce:TB pupilDiam = CDbl(dlg.TextBox2) /dHs &SU, End If Iur9I>8h u'9gVU B Print " " Wz=OSH7"f Print "Accommodation = " & A & " Diopters" %j]STD.E Print "Pupil Diameter = " & pupilDiam & " mm" N}/>r D " mj^+u- ' Calculate new parameters with accommodation QrjDF> taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness OS7RQw1 vx 0UoKX Rant = 12.0 - 0.4*A 'Radius of anterior lens ?_4^le[; CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3_ 2hC!u!K )y50Mb0+ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &W_th\% CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens /J%do]PDl (}H ,ng'4 tlens = 3.767 + 0.04*A 'Lens thickness 744=3v ~^o=a?L`< nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction k'13f,o} aPIr_7e 'Adjust parameters to account for accommodation HFh /$VM ")\aJ8 '************************************************************************* L=A\ J^% 'Aqueous thickness (Position of Lens) tjzA)/T,4 '************************************************************************* ~@M7&%] eID = FindFullName( "Geometry.Arizona Eye.Lens" ) VyZV(k GetCustomElement eID, entity `"<2)yq? t{(Mf2GR1
parID = FindFullName( "Geometry.Arizona Eye" ) b :\D\X }""p)Y& ' Delete any shift(s) in z 8]*Q79 count = 0 iz
x[ While GetOperationCount(eID)>count c>MY$-PD GetOperation eID, count, op )mD\d|7f If op.Type="ShiftZ" Then JLUms DeleteOperation eID,count {g=b]yg\o count=count-1 3"i% { End If v5Y@O|i# count=count+1 H1UL.g%d= Wend "Gh#`T0#a Y^eX@dEFR 'Set new shift in EVz9WY op.Type = "ShiftZ" Y?!/>q op.val1 = taq [b`$\o'- op.parent = parID u8uW9 < AddOperation eID, op ZrcPgcF Print "Set aqueous humor thickness = " & taq-0.55 N{pa)
/ m!!;/e?yx '************************************************************************* >\\5"Sf 'Radius and conic constant of anterior lens m.146 '************************************************************************* i+U51t< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) (4ZLpsbJ GetConic eID, entity, curv, conic eiB(VOJ m+$/DD^-zl SetConic eID, entity, 1/Rant, CCant RK3.- Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 3;D?|E]1 ![Hhxu '************************************************************************* c%yh(g 'Radius and conic constant of posterior lens .HOY q '************************************************************************* ScHlfk
p eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) It\BbG= GetConic eID, entity, curv, conic TQ~&Y)". Tg\hx> SetConic eID, entity, 1/Rpost, CCpost
Ys+N,:#R Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 3:O+GQ* x 8M#t(hw '************************************************************************* P=pY8X: 'Lens thickness (Position of posterior lens surface) ]-rczl|o '************************************************************************* {jUvKB_x Fj3^
#ly parID = FindFullName( "Geometry.Arizona Eye.Lens" ) G4);/# g1dmkX ' Delete any z-shift(s) xO gq-@` count = 0 o@@_J@}# While GetOperationCount(eID)>count ?:JdRnH \ GetOperation eID, count, op XWf7"]%SX If op.Type="ShiftZ" Then ZU^Q1}</5 DeleteOperation eID,count !xJFr6G~8 count=count-1 [BE:+ ID3 End If ndB@J*Imu count=count+1 Lqq*Nr Wend c}8 -/P= {'&8`d 'Set new z-shift \|Y{jG<cu op.Type = "ShiftZ" mR6E]TuM op.val1 = tlens y,1S&k op.parent = parID 8}J(c=4Gk AddOperation eID, op Ta,u-!/I Print "Set lens thickness = " & tlens ~|qXtds$ =X<)5IS3 '************************************************************************* k~ZBJ+
94 'Lens index of refraction I(y`)$} '************************************************************************* [I_BCf eID = FindMaterial( "Lens" ) 6J]~A0vsi} GetModelMaterial eID, mat 0rGj|@+; ,&4zKm mat.Nd = nlens ul}4p{ m[ SetModelMaterial eID, mat QM7[ O]@ Print "Set lens index of refraction = " & nlens fg< (bXC kS[Dy$AB/2 '************************************************************************* s%hU*^ 8 'Pupil diameter J~fuW?a]r '************************************************************************* +0SW ?#% eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) i<0D
Z_rub ho(5r5SNE 'Adjust pupil diameter (trimming volume inner hole) ?@yank| ,WzG.3^m SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ,q/tyGj _Eszr(zJ ' Adjust pupil location to just in front of the lens vRq=m8 parID = FindFullName( "Geometry.Arizona Eye" ) .59KE]u eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,,zd.9n count = 0 /
O|Td'Z While GetOperationCount(eID)>count <e$5~Spc GetOperation eID, count, op !XkymIX~O. If op.Type="ShiftZ" Then \=$EmHF DeleteOperation eID,count {/th`#o4b count=count-1 t00\yb^vJ8 End If +.XZK3 count=count+1 cA2^5'$$ Wend m
j'"Z75 op.Type = "ShiftZ" +"TI_tK,S op.val1 = taq-0.01 qr7 X-[& op.parent = parID z(c@(UD-_ AddOperation eID, op EY,;e\7O, (rau8
Print "Set pupil diameter = " & pupilDiam 8Pl+yiB/o` jdV .{8@ 'Update AZ Eye subassembly Description *1 n;p)K eID = FindFullName( "Geometry.Arizona Eye" ) $,xtif0 GetEntity eID, entity /8 e2dw:
\ entity.Description = "Accommodation = " & A & "D" Kx(76_XD SetEntity eID, entity V=G b>_d fho=<|- Update V[BY/<z)A Print "DONE!" 7yc9`j}] hr)+Pk End Sub z }FiU[Hs CwTS /G 如果屈光度是4,光瞳直径是4,则会输出如下数据: qAS70XjOF 6R$F =MB Accommodation = 4 Diopters .E?bH V Pupil Diameter = 4 mm ~%cSckE Set aqueous humor thickness = 2.81 z v L>(R Set anterior lens radius = 10.4 and conic constant = -2.375869 =F",D= Set posterior lens radius = -4.424557 and conic constant = -3.081019 l044c,AW( Set lens thickness = 3.927 0A#9C09 Set lens index of refraction = 1.42672 z'vdC Set pupil diameter = 4 Ba"^K d` DONE! `'A(`. CL 7eaA]y~H ~#HH;q_7m QQ:2987619807 kxr6sO~
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