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简介 6V W&An[6r 'V/+v#V+> 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。 n' &:c}zKO TF2'-"2Y 模型 RAPR-I;{ T:dV[3 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。 HZKqGkE ^Yul|0*J Table 1. AZ眼睛模型的定义 @!`x^Tzz 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. %d3qMnYu 'b~,/lZd 光源 )CKPzNf e-Mei7{% 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。 .]24V!J(1w ;Lr]w8d zb.dVK`7N- 图1. 光源和提示信息使用 c <Fr^8 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。 h8'`g 0 dD ?ZF6 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。 jnho*,X Qq+$ea?> 图2. 字母F光源的设定方法光 vnc-W3N ^Y,nv,gYn 图3. 字母F在视网膜上位置点列图 #TS:|= 视网膜的散射 }LeizbU *MC+i$ 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。 pr-=<[ d B63puX{u# :8=7)cW 图4. 视网膜朗伯散射设定 %^Zu^uu 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。 2+s#5K&i Q,v/]bXd @S9^~W3G3 图5. 视网膜重点采样规格设定 2fN2!OT 脚本 \:y oS>G %>Q[j`9y 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: \w#)uYK{i_ XCvL` 图6. 用户对话框的创建与编辑 N(s5YX7<hd 图7. 用户对话框编辑器 Gn&=<q:H 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。 !:baG]Y 余下的脚本计算与屈光度有关的所有参数。 tzJ7wXRr 'Y2ImSWj 分析 z>]P_E~`} 3Zdwt\OQ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 4g+Dp&U FdGnNDl*e 图7. 字母F在视网膜上颜色分析 6U9FvPJ 脚本代码 /L{V3}[j Ahkq Option Explicit 'Remove this to enable non-dimensioned variables to be used. };Pdn7;1G: 3FY87R Dim entity As T_ENTITY 45Hbg Dim op As T_OPERATION cS#yfN, Dim mat As T_MODELMATERIAL X{Ij30Bmv Dim A As Double o4U0kiI@ Dim pupilDiam As Double *[Im]. Dim eID As Long ,J(shc_F Dim parID As Long ]$~\GE^ Dim count As Integer 0@yw#.j Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double w~4T.l#1 Dim tlens As Double, nlens As Double #(7^V y& Dim curv As Double, conic As Double ULH<FDot Dim ok As Long
SwE bVwB |_njN Sub Main (}m2}
XFSHl[uS1 '用户输入对话框 %0Ibi Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 IFsh"i
TextBox 220,21,40,21,.TextBox1 'default: 0 W#&BU-|2 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ',Y`\X OKButton 40,91,90,21 p~WX\; CancelButton 190,91,90,21 !?)aZ |r Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 E(F?o.b TextBox 220,49,40,21,.TextBox2 'default: 4 zJ)`snN| End Dialog .WLwAL Dim dlg As UserDialog }_=h]|6t G5hf m- ok = Dialog (dlg) ZZ>F ^t $MqEM~^= If ok=0 Then 'cancel button was pressed os n ,kD* Print "Execution cancelled." wEZieHw End 0YZ66VN! End If J@A^k1B "[ieOFI 'Assign accommodation and pupil diameter & use defaults if field left empty ^+w1:C 5 If dlg.TextBox1 = "" Then (3WK2IM^ A = 0 'Default accommodation vddl9"V) Else xwub-yz A = CDbl(dlg.TextBox1) []doLt;J End If ka@yQ V 40aD\S> If dlg.TextBox2 = "" Then T_[5 ZYy pupilDiam = 4 'Default pupil diameter 4C[kj Else @6M>x=n5 pupilDiam = CDbl(dlg.TextBox2) fu
iTy72 End If rgo!t028^ 87F]a3 Print " " 8=)9ZjfD Print "Accommodation = " & A & " Diopters" q'9; Print "Pupil Diameter = " & pupilDiam & " mm" H#M;TjR [HhaBy9 ' Calculate new parameters with accommodation %%9T-+T taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness H2'djZ a4XK.[O Rant = 12.0 - 0.4*A 'Radius of anterior lens >y+?Sz! CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens JkI|Ojmm/ `# :(F z Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Wr@q+Whq CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens J|
1!4R~ NtmmPJ|5 tlens = 3.767 + 0.04*A 'Lens thickness k*OHI/uiow Wj8WT)cB nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction v%kl*K`* tkmzOc H 'Adjust parameters to account for accommodation i|0!yID0@ k(xB%>ns '************************************************************************* L#WGOl 'Aqueous thickness (Position of Lens) IH`7ou { '************************************************************************* \O]kf>nC eID = FindFullName( "Geometry.Arizona Eye.Lens" ) - _~\d+>w GetCustomElement eID, entity qT01@Bku N;DE,[:< parID = FindFullName( "Geometry.Arizona Eye" ) 21my9Ui] VR'zm\< D ' Delete any shift(s) in z i*8j| count = 0 OnyAM{$g While GetOperationCount(eID)>count )=cJW(nfP GetOperation eID, count, op b81cq, If op.Type="ShiftZ" Then ol~ tfS DeleteOperation eID,count 'J)9# count=count-1 (1[Z#y[ End If ,."wxP2u count=count+1 !hE F.S Wend a5(9~.9 % .wx]:o 'Set new shift in QVah4wFL*. op.Type = "ShiftZ" efuiFN; op.val1 = taq |[p]])
o op.parent = parID {{)pb>E AddOperation eID, op 2km0 Print "Set aqueous humor thickness = " & taq-0.55 3EH@tlTl ^Nt^.xi7 '************************************************************************* 'UTMEN& 'Radius and conic constant of anterior lens VF +g+~ '************************************************************************* '3~m},0 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) s@g _F GetConic eID, entity, curv, conic
'*EKi -X3CrW SetConic eID, entity, 1/Rant, CCant %zR5q Lb Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant WqS$C;]% sGh TP/ '************************************************************************* \tA@A 'Radius and conic constant of posterior lens VA`VDUG, '************************************************************************* ;Zc0imYL eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) CtUAbR GetConic eID, entity, curv, conic ].Ra=^q \w&R`;b8w SetConic eID, entity, 1/Rpost, CCpost wa!z:}] Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;kZJnN"y mRt/d '************************************************************************* />uE)R$ 'Lens thickness (Position of posterior lens surface) e.Q'l/g '************************************************************************* r9<#R=r)}J ] VEc9? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -S&d5(R H_ NoW ' Delete any z-shift(s) 'Tskx count = 0 69t6lB#;! While GetOperationCount(eID)>count Q'Uv5p"X GetOperation eID, count, op I0;gTpt9 If op.Type="ShiftZ" Then jaIcIc=Pf DeleteOperation eID,count 7mn&w$MS4: count=count-1 K,+z^{Hvh End If XsSDz}dg count=count+1 `Gx
5=Bm; Wend "Y"`'U=v jw/@]f;N 'Set new z-shift 9H53H"5q op.Type = "ShiftZ" JUJrtKS op.val1 = tlens o#D'"Tn! op.parent = parID d7uS[tKqg AddOperation eID, op [#AI! - Print "Set lens thickness = " & tlens ,Ww.W'#P dKevhm)R" '************************************************************************* WpMm%G~'4t 'Lens index of refraction P,#l~ \ '************************************************************************* uTdz$Nh eID = FindMaterial( "Lens" ) KI].T+I GetModelMaterial eID, mat .&Sjazk0XO #miG"2ea.. mat.Nd = nlens \Hq=_}]F SetModelMaterial eID, mat vrh2}biCR Print "Set lens index of refraction = " & nlens ~wcp&D w}M)]kY '************************************************************************* mi@uX@ # 'Pupil diameter =AF;3 '************************************************************************* WopA7J, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) bn=7$Ax 9niffq)h 'Adjust pupil diameter (trimming volume inner hole) ty@D3l NFG~PZ`6R SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" B- |C%~fe e5w0}/yW/ ' Adjust pupil location to just in front of the lens ]w]:9w parID = FindFullName( "Geometry.Arizona Eye" ) ACI.{`SrQ= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) %][zn$aa| count = 0 dV^ck+ While GetOperationCount(eID)>count SPvKq=, GetOperation eID, count, op +xU=7chA If op.Type="ShiftZ" Then <2LUq@Pg DeleteOperation eID,count r
jnf30 count=count-1 RF~c/en End If 0&3zBL%Bo count=count+1 %+(fdk-k+ Wend +JB*1dz>8 op.Type = "ShiftZ" I]Z"?T op.val1 = taq-0.01 oJc7az op.parent = parID aCyn9Y$= AddOperation eID, op dd@
D
s KPZqPtb; Print "Set pupil diameter = " & pupilDiam qg*xdefQ% ;Wn0-`_1, 'Update AZ Eye subassembly Description aq9Ej]1b eID = FindFullName( "Geometry.Arizona Eye" ) ApcE)mjpc GetEntity eID, entity I@1VX5 entity.Description = "Accommodation = " & A & "D" /1hcw|cfC SetEntity eID, entity w-Q=oEt Vp8!-[R Update z:08;}t Print "DONE!" ("=B,%F_ n ,@ge End Sub 3)l<'~"z< r90R~'5x9 如果屈光度是4,光瞳直径是4,则会输出如下数据: 9 vNz
yh\ }dEf |6_ Accommodation = 4 Diopters iH-(_$f; Pupil Diameter = 4 mm cejD(!MKe Set aqueous humor thickness = 2.81 iP?lP= M Set anterior lens radius = 10.4 and conic constant = -2.375869 2p*L~! iM Set posterior lens radius = -4.424557 and conic constant = -3.081019 b^<7@tY Set lens thickness = 3.927 //#]CsFiP Set lens index of refraction = 1.42672 xz}=C:s Set pupil diameter = 4 \~T&C5 DONE! 8>:u%+C1c
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