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简介 TZ?Os4+ A<4_DVd@@ 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。 wYZT D*A2h G9DJa_]X 模型 3/X-Cr+d *)limqe3"$ 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\Xh3l]+j CF]i}xpWV Table 1. AZ眼睛模型的定义 K K?Zm_ 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. :w@F?:C (+|X<Bl:` 光源 nD7|8,' v`y6y8:> 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。 ]JOephX2R kmryu= HbcOTd)=5 图1. 光源和提示信息使用 !7}IqSs 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。 !X^Hi=aV ,eR8~(`= 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。 b9!.-^<8y 94\t1fE 图2. 字母F光源的设定方法光 &~RR&MdZ2 ~@{w\%(AK] 图3. 字母F在视网膜上位置点列图 &J_Z~^ 视网膜的散射 wZ#Rlv,3Wa ).LTts7c 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。 Ab/j(xr= 1%%'6cWWu O7%2v@j|8 图4. 视网膜朗伯散射设定
3P1&; 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。 F8H'^3`b`U oBr.S_Qe ;x-(kIiE 图5. 视网膜重点采样规格设定 ["}A
S: 脚本 0o;O`/x Guh%eR'Wt 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: "< v\M85& @:Di`B_{ 图6. 用户对话框的创建与编辑 Mi ; glm 图7. 用户对话框编辑器 &-M]xo^ 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。 \i!Son.< 余下的脚本计算与屈光度有关的所有参数。
|g%mP1O Zmf'{t T5 分析 Ur^j$B} Wqra8u# 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 LOr|k8tL% #O~XVuvF0 图7. 字母F在视网膜上颜色分析 $J.T$0pFa 脚本代码 IS BV%^la| ~]BMrgn Option Explicit 'Remove this to enable non-dimensioned variables to be used. m
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>Hf9sZ Dim entity As T_ENTITY NBjeHtT Dim op As T_OPERATION AVG>_$< Dim mat As T_MODELMATERIAL t|V0x3X Dim A As Double C9qJP^F Dim pupilDiam As Double MxOD8TDF4 Dim eID As Long +E/y ~s Dim parID As Long 'xnnLCm. Dim count As Integer S_v(S^x6 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double /-4$7qd Dim tlens As Double, nlens As Double *f5l=lDOB Dim curv As Double, conic As Double &.Q8Mi
aT Dim ok As Long [3N[i(Wlk w5KPB5/zu Sub Main u=r`t(Z1H #`;/KNp 9 '用户输入对话框 2 -Xdoxw Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 )zq.4 TextBox 220,21,40,21,.TextBox1 'default: 0 K=?VDN Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ar.AL' OKButton 40,91,90,21 W2Luz;(U CancelButton 190,91,90,21 ?m0IehI Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 5\Fz! TextBox 220,49,40,21,.TextBox2 'default: 4 cCY/gEv End Dialog
4f^C\i+q Dim dlg As UserDialog K-eY|n eKN$jlg ok = Dialog (dlg) >u0w.3r# jN0k9O> If ok=0 Then 'cancel button was pressed M2@b1; Print "Execution cancelled." C+{l7QT$t End 93O;+Z5J End If !}KqB8; %."@Q$lA 'Assign accommodation and pupil diameter & use defaults if field left empty in-C/m# If dlg.TextBox1 = "" Then }-@4vl
x$ A = 0 'Default accommodation DJ@|QQ Else ;heHefbvvd A = CDbl(dlg.TextBox1) =Z G:x<Hg End If p?X02
>yA fNu'((J- If dlg.TextBox2 = "" Then
9\;|x pupilDiam = 4 'Default pupil diameter ILwn&[A0 Else v$wBxCY pupilDiam = CDbl(dlg.TextBox2) ?=;qK{)37 End If ^pnG0(9 N_Akmh0D Print " " 27F~(!n Print "Accommodation = " & A & " Diopters" :-`7Q\c } Print "Pupil Diameter = " & pupilDiam & " mm" *e#<n_%R QK`i%TXJ ' Calculate new parameters with accommodation o*g|m.SjL taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness h*B|fy4K9U s;flzp8 Rant = 12.0 - 0.4*A 'Radius of anterior lens ~z5R{;Nbz| CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ]rN5Ao}2 v%{.A) Rpost = -5.224557 + 0.2*A 'Radius of posterior lens X+k}2HvNG CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens q my%J _c$9eAe tlens = 3.767 + 0.04*A 'Lens thickness ]iNEw9 #-% A[7Cdp nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction sOCs13A" l`-bFmpA 'Adjust parameters to account for accommodation t*<#<a <#GB[kQa '************************************************************************* COzyG.R. 'Aqueous thickness (Position of Lens) jjM\. KL] '************************************************************************* 8vSse eID = FindFullName( "Geometry.Arizona Eye.Lens" ) >>i@r@ GetCustomElement eID, entity bI)u/ 8X|r4otn4 parID = FindFullName( "Geometry.Arizona Eye" ) ^u}L;`L ph>7?3;t ' Delete any shift(s) in z 5}$b0<em~ count = 0 E37<"(; While GetOperationCount(eID)>count K_?W\Yg GetOperation eID, count, op |t
iUej If op.Type="ShiftZ" Then ~ 9)"! DeleteOperation eID,count ps
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count=count-1 #rO8K f End If &!aAO(g
count=count+1 [[d(jV=* Wend l!}:|N Yh! p
Dx-2:} 'Set new shift in Ch$*Gm19Z op.Type = "ShiftZ" 4'4\,o op.val1 = taq 3kcTE&1^ op.parent = parID CC\*?BKj" AddOperation eID, op n+lOb Print "Set aqueous humor thickness = " & taq-0.55 :l7U>~ o =[\s8XH, '************************************************************************* ;,i]w"* 'Radius and conic constant of anterior lens 'TH15r@ '************************************************************************* a22Mufl eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) r<F hY GetConic eID, entity, curv, conic -/{4Jf Wf f7h*Vu`> SetConic eID, entity, 1/Rant, CCant mWR4|1( Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 9% l% kn)t'_jC '************************************************************************* :1t~[-h^ 'Radius and conic constant of posterior lens Q#h
9n] 5 '************************************************************************* '>$]{vQ3 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Y]]}*8 GetConic eID, entity, curv, conic ]EwVpvTw b=~i)` SetConic eID, entity, 1/Rpost, CCpost >5s6u`\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost `wF8k{Pb n,$IfC" '************************************************************************* A)%A!
'Lens thickness (Position of posterior lens surface) ?4H i- '************************************************************************* 2I*;A5$N1
Bs?7:kN( parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /Q~gU< &Tl
0Pf ' Delete any z-shift(s) zIP6\u count = 0 pv^O"Bs While GetOperationCount(eID)>count '*\|;l#1 GetOperation eID, count, op "#( T If op.Type="ShiftZ" Then ;<G=M2 DeleteOperation eID,count *tm0R> ?! count=count-1 Y0D}g3` End If PJ cwH6m count=count+1 r$]HIvJD Wend 22f`LoM U|g:`v7 'Set new z-shift )(y)A[ op.Type = "ShiftZ" uV 7BK+[O op.val1 = tlens /-bO!RTwf op.parent = parID <dW]\h?) AddOperation eID, op rvr-XGK36\ Print "Set lens thickness = " & tlens (@iMLuewK Oft4-4$E '************************************************************************* n_3O-X( 'Lens index of refraction 1"pw '************************************************************************* o]
mD"3_ eID = FindMaterial( "Lens" ) :n /@z4# GetModelMaterial eID, mat ChCrL[2 P-ri=E}> mat.Nd = nlens
B<C* SetModelMaterial eID, mat Duc#$YfGm Print "Set lens index of refraction = " & nlens *
S=\l@EW D@!=d@V. '************************************************************************* i;!H!-sM 'Pupil diameter IpP~Uz '************************************************************************* ^h{)Gf,+\ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 'Ysx= rk)##) 'Adjust pupil diameter (trimming volume inner hole) sg+uBCGB I4&::y^C SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >Wz;ySEz @:KJYm[ ' Adjust pupil location to just in front of the lens B/`
!K parID = FindFullName( "Geometry.Arizona Eye" ) It{ ;SKeo eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ^5=B`aich count = 0 5Kkdo!z While GetOperationCount(eID)>count 7EXI6jGJ| GetOperation eID, count, op b$Vz2Fzx If op.Type="ShiftZ" Then o1<_fI DeleteOperation eID,count }g4 M2| count=count-1 %'[&U# - End If f%V4pzOc" count=count+1 A'2w>8 Wend .nyfYa+ op.Type = "ShiftZ" Nj?/J47?, op.val1 = taq-0.01 WD1G&5XP op.parent = parID +zy=50, AddOperation eID, op S{Er?0wm.R (&!NC[n, Print "Set pupil diameter = " & pupilDiam rD*sl} qbv#I; 'Update AZ Eye subassembly Description [ :zO}r: eID = FindFullName( "Geometry.Arizona Eye" ) j\m_o% 4 GetEntity eID, entity P{u0ftyX} entity.Description = "Accommodation = " & A & "D" d9q(xZ5 SetEntity eID, entity v'e[GB0 EOm:!D\ Update hcyM6:} Print "DONE!" 7e<c$t#H mW:!M!kk End Sub z`\F@pX%wC x:QgjK 如果屈光度是4,光瞳直径是4,则会输出如下数据: zD<or&6 f4BnX(1u Accommodation = 4 Diopters VqS#waNrx Pupil Diameter = 4 mm AZmb!}m+d Set aqueous humor thickness = 2.81 9D4NX<_ Set anterior lens radius = 10.4 and conic constant = -2.375869 HQB(* Set posterior lens radius = -4.424557 and conic constant = -3.081019 &\Amn?Iq Set lens thickness = 3.927 ;s52{>&F] Set lens index of refraction = 1.42672 ~{Mn{ Set pupil diameter = 4 I}t#%/'YA DONE! !tp1:'KG
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