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简介 Ve\^(9n *9.4AW~]X 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。 KqC8ozup s/#L?[YH 模型 _Bh-*e2k bV c"'RQ 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。 _0^f HUUN*yikj Table 1. AZ眼睛模型的定义 ~nO]R 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. #+dF3]X(& t* eZe`| 光源 P X/{ K[}5bjh> 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。 AA$+ayzx9{ ~2 aR>R_nT e(nT2E 图1. 光源和提示信息使用 ^APPWQUl 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 +pDZ,c, nO-1^HUl 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 '?7?"v <_XyHb- 图2. 字母F光源的设定方法光 !F]7q]g xZ2^lsY 图3. 字母F在视网膜上位置点列图 "eKNk 视网膜的散射 AcC'hr.N+ }EFMJ,NQ 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Gp*U2LB um.s:vj$ Z*r;"WHB 图4. 视网膜朗伯散射设定 tR`'( *wh 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。 w]2tb $'m&RzZ S#gIfb<D 图5. 视网膜重点采样规格设定 E1'|
;}/ 脚本 7,vvL8\NHu Wk3R6
V 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: "^?|=sQ A\Ax5eeL 图6. 用户对话框的创建与编辑 @|A
wT 图7. 用户对话框编辑器 /m#!<t7 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 .4I"[$?Q 余下的脚本计算与屈光度有关的所有参数。 s
Yp?V\Y" kl4u]MyL# 分析 snU
$Na3 2Mqac:L 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 T2Duz, 8M9LY9C 图7. 字母F在视网膜上颜色分析 .Y@)3 脚本代码 `8 Q3=^)3 |n9q4*dN Option Explicit 'Remove this to enable non-dimensioned variables to be used. s+mNr3 #f*,mY|> Dim entity As T_ENTITY {/Mz/|% Dim op As T_OPERATION ds>V|}f[ Dim mat As T_MODELMATERIAL J2tD).G Dim A As Double D)0pm?*5A Dim pupilDiam As Double :i{$p00
G Dim eID As Long |q0MM^%" Dim parID As Long Ojea~Y]Sr Dim count As Integer }Z^r<-N Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double {u7%Z}<0 Dim tlens As Double, nlens As Double P1\:hh Dim curv As Double, conic As Double /Q |guJx Dim ok As Long ?U}Ml]0~ 7*{9 2_M Sub Main ;|nC;D] pUTC~|j%: '用户输入对话框 X?3?R\/ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 <4DSk9/ TextBox 220,21,40,21,.TextBox1 'default: 0 kqyVUfX$3 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 l~cT]Ep OKButton 40,91,90,21 |{)SLvlJl CancelButton 190,91,90,21 &DUt`Dr w Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 .JkcCEe{G TextBox 220,49,40,21,.TextBox2 'default: 4 Yh^~4S? End Dialog 6[iu CMOZ Dim dlg As UserDialog BkZmE, T[$! ^WT ok = Dialog (dlg) aWtyY[= Kz v*` If ok=0 Then 'cancel button was pressed 0O_acO4 Print "Execution cancelled." VW,"
dmC End E~k_4z%M End If lDBn3U&z>
*jAw 'Assign accommodation and pupil diameter & use defaults if field left empty @(;zU~l/ If dlg.TextBox1 = "" Then 'yrU_k,h A = 0 'Default accommodation Dg:2*m_!j{ Else ;p$KM-?2D A = CDbl(dlg.TextBox1) #gHs!b-g@ End If m{~p(sQL #<^ngoOj If dlg.TextBox2 = "" Then o*d+W7l pupilDiam = 4 'Default pupil diameter b[mAkm?9+1 Else g{]C@,W pupilDiam = CDbl(dlg.TextBox2) kO1.27D End If /MHml0u f,e7;u z% Print " " Iy2KOv@a5 Print "Accommodation = " & A & " Diopters" pO2Y'1* Print "Pupil Diameter = " & pupilDiam & " mm" d|nJp-%V D$
>gAv ' Calculate new parameters with accommodation 3`W=rIMli taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness cqr4P`Oj - %ul9} . Rant = 12.0 - 0.4*A 'Radius of anterior lens dWg09 sx CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 3,7SGt
r dc ]+1
A Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 8Z^9r/%*Z CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens `#X\@?'5 6?"k&O tlens = 3.767 + 0.04*A 'Lens thickness ,gvv297 b IS3 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction *1Q~/<W ywPFL/@ 'Adjust parameters to account for accommodation o0f{ePZ= k8]uy2R6} '************************************************************************* Rh:@@4< 'Aqueous thickness (Position of Lens) LLa72HW '************************************************************************* 71nI`.Z eID = FindFullName( "Geometry.Arizona Eye.Lens" ) yAge2m]<B GetCustomElement eID, entity =h`yc$
A(2 j'z}m+_? parID = FindFullName( "Geometry.Arizona Eye" ) D"5u N0Z ]yTMWIx# ' Delete any shift(s) in z ql|ksios count = 0 F<KUVe While GetOperationCount(eID)>count Cg~GlZk} GetOperation eID, count, op tkN5|95 If op.Type="ShiftZ" Then :d&^//9 DeleteOperation eID,count ]5!}S-uJq count=count-1 L5E|1T End If LD'eq\vO count=count+1 '
9K4A'2[ Wend ERql^Yr 7~t,Pt) 'Set new shift in mP1EWh| op.Type = "ShiftZ" f}4bnu3 op.val1 = taq CC(At.dd op.parent = parID |@}Yady@C AddOperation eID, op l7{Xy_66 Print "Set aqueous humor thickness = " & taq-0.55 )PM&x +1 K9R\ '************************************************************************* Ab]`*h\U 'Radius and conic constant of anterior lens a0vg%Z@! '************************************************************************* $1Lm=2;U eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) OygR5s + GetConic eID, entity, curv, conic H.8f-c-4we g3p*OYf SetConic eID, entity, 1/Rant, CCant %fS__Tb#u Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant f0 ;Fokt( [Rz9Di ; '************************************************************************* 3Mvm'T:[ 'Radius and conic constant of posterior lens MEOVw[hO '************************************************************************* REyk,s2"6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) sqAZjfy@ GetConic eID, entity, curv, conic YTiXUOj P= e3f(M2 SetConic eID, entity, 1/Rpost, CCpost V!eq)L Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost D ^ mfWJS }Q 7~tu '************************************************************************* r!qr'Ht< 'Lens thickness (Position of posterior lens surface) mL!)(Bb '************************************************************************* 'USol< n[jyhBf\W parID = FindFullName( "Geometry.Arizona Eye.Lens" ) -}l iG l;4},N ' Delete any z-shift(s) ,tdV-9N[O count = 0 n'<FH<x While GetOperationCount(eID)>count <&n\)R4C1 GetOperation eID, count, op ;&|MNN^ If op.Type="ShiftZ" Then AxD&_G T DeleteOperation eID,count 6
ufF34tA count=count-1 \tLfB[S.5 End If YT)jBS~& count=count+1 5*.JXxE;U Wend DKd:tL24& (Rqn)<<2 'Set new z-shift ar-N4+!@ op.Type = "ShiftZ" ?Y:>Ouv*z' op.val1 = tlens d ] J5c op.parent = parID ZK =`Y@ AddOperation eID, op k"*A@ Print "Set lens thickness = " & tlens ac8+?FpK # `lAe2l^ '************************************************************************* [:cy.K!Uo% 'Lens index of refraction h J*2q" '************************************************************************* dLV>FpA\ eID = FindMaterial( "Lens" ) 9oOr-9t3 GetModelMaterial eID, mat #0K122oY !Cq2<[K# mat.Nd = nlens [O)
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SetModelMaterial eID, mat 0PiD<*EA Print "Set lens index of refraction = " & nlens 1#KE4( ?:D#\4=US '************************************************************************* )<_e{_h
'Pupil diameter +Y7"!wYR> '************************************************************************* @"
-[@ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) lTl-<E; (*{Y#XD{ 'Adjust pupil diameter (trimming volume inner hole) -+^E5 q~*9A-MH SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ~b.C[s 1P(5+9"s ' Adjust pupil location to just in front of the lens ~p9nAACU parID = FindFullName( "Geometry.Arizona Eye" ) ?P<8Zw eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ,BGaJ|k count = 0 eko$c,&jY While GetOperationCount(eID)>count lX^yd5M&f GetOperation eID, count, op 8ZY F% If op.Type="ShiftZ" Then q)Qd+:a7{ DeleteOperation eID,count V`F]L^m=L count=count-1 PL;PId<9w End If wR)U&da`@ count=count+1 13+f ^ Wend S8+GM op.Type = "ShiftZ" <g/Z(<{wor op.val1 = taq-0.01 yV;_ ]_EO op.parent = parID O=2"t%Gc AddOperation eID, op 6Vr:?TI7 ={HYwP; Print "Set pupil diameter = " & pupilDiam uB;\nj5'D ^[]q/v'3m! 'Update AZ Eye subassembly Description ;+d2qbGd eID = FindFullName( "Geometry.Arizona Eye" ) "
3ryp
A GetEntity eID, entity sL; entity.Description = "Accommodation = " & A & "D" ]r]= Q"/5 SetEntity eID, entity ~
ZkSYW< qa>Z?/w Update 6N7^`ghTf Print "DONE!" Ancka ii< /!B( End Sub QqpXUyHp[ 0l.\KF 如果屈光度是4,光瞳直径是4,则会输出如下数据: 3>Ne_kY dRl*rP/ Accommodation = 4 Diopters |wef [|@% Pupil Diameter = 4 mm wrORyj Set aqueous humor thickness = 2.81 ~353x%e' Set anterior lens radius = 10.4 and conic constant = -2.375869 R^[b
I; Set posterior lens radius = -4.424557 and conic constant = -3.081019
Zo=w8Hr Set lens thickness = 3.927 GJpQcse% Set lens index of refraction = 1.42672 >bgx o< Set pupil diameter = 4 Or {9?;G DONE! h-0#h/u>M 0a1Vj56{) S,Y\ox- QQ:2987619807 Qyh_o
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