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简介 =*zde0T?l 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。 _V0%JE' O,vC:av 模型 hsYE&Np_Q c9c3o{(6Y 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。 TiG?r$6v% BpX` 49 Table 1. AZ眼睛模型的定义 5~im.XfiVx 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. gSj0+| &@BAVc z 光源 EwuRIe;D
ylS6D 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 Q"c/]Sk) ]:'] x
ju*zmu 图1. 光源和提示信息使用 fOdqr 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 KK6z3"tk5
s_+.xIZ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 h;y}g/HZ C~"UOFX 图2. 字母F光源的设定方法光 N^PkSf[)h5 s1#A0%gx 图3. 字母F在视网膜上位置点列图 ;_|4c7 视网膜的散射 \Y8 sIs qdmAkYUC 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Iu5 9W> Yo=$@~vN] ZJF+./vN 图4. 视网膜朗伯散射设定 N7
hl M 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。 F#RN m5 W,H=K##6< u?g&(h 图5. 视网膜重点采样规格设定 G`Z<a 脚本 r ?<kWR?w /lPnf7 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: so/0f1R?~ !>=lah$& 图6. 用户对话框的创建与编辑 j {2 0 图7. 用户对话框编辑器 ,oSn<$%/q 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。 +xsGa{` 余下的脚本计算与屈光度有关的所有参数。 6BEpnw>p( jt: *Y 分析 ^6F, lS _t ~RwoktO 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 pzUr9 (NDC9Lls 图7. 字母F在视网膜上颜色分析 V[]Pya|s+ 脚本代码 1LhZmv /"m#mhL Option Explicit 'Remove this to enable non-dimensioned variables to be used. %hw4IcWJ| -1NR]#P' Dim entity As T_ENTITY m,62'
Dim op As T_OPERATION [Ob'E!;< Dim mat As T_MODELMATERIAL Li0+%ijM Dim A As Double bb\XZ~)F Dim pupilDiam As Double }u$c*} Dim eID As Long i+< v7?:`# Dim parID As Long rnp; R Dim count As Integer [e@m-/B Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double A{k1MA<F6 Dim tlens As Double, nlens As Double Y6hV
;[\F Dim curv As Double, conic As Double wq!9wk9 Dim ok As Long f8=qnY2j W/ WP }QM Sub Main MU2kA&LH m .(\u?J '用户输入对话框 f7!48,(fB Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 rz-61A) _ TextBox 220,21,40,21,.TextBox1 'default: 0 {D|ST2:E Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 x
_d OKButton 40,91,90,21 NZADHO@0 CancelButton 190,91,90,21 H\ E%.QIx Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 &m[}%e%~0 TextBox 220,49,40,21,.TextBox2 'default: 4 ' S,g3 End Dialog -MsL>F.] Dim dlg As UserDialog F$|:'#KN Qb%;
|li ok = Dialog (dlg) qwnVtD .d$Q5Qae If ok=0 Then 'cancel button was pressed y;4g>ma0 Print "Execution cancelled." v*.iNA;&i End BhbfPQ End If gW4fwE^ C?]eFKS." 'Assign accommodation and pupil diameter & use defaults if field left empty ePI N<F;I If dlg.TextBox1 = "" Then n5BD0q A = 0 'Default accommodation )+8r$ i Else V
EsM A = CDbl(dlg.TextBox1) G|-RscPe End If c9Cc%EK *)I^+zN If dlg.TextBox2 = "" Then ].aFdy pupilDiam = 4 'Default pupil diameter :sLg$OF Else m-;8O / pupilDiam = CDbl(dlg.TextBox2) ,O-_Pv End If >hq{:m q@XJ,e1A Print " " *icaKy3 Print "Accommodation = " & A & " Diopters" _5(p=Zc Print "Pupil Diameter = " & pupilDiam & " mm" h"Wpb}FT `'3 De( ' Calculate new parameters with accommodation 5WxNH}{ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness w2/3[VZ}l fO^s4gWTg Rant = 12.0 - 0.4*A 'Radius of anterior lens /38I(0 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens YPq:z"`-y4 $3&XM Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 'NfsAE CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens mvt-+K?U KHC Fz tlens = 3.767 + 0.04*A 'Lens thickness ZF#n(Y? !Icznou\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction $^czqA-& Oj_F1.
r 'Adjust parameters to account for accommodation aUc#,t;Qd zw$\d1-+h '************************************************************************* KU0Ad);e 'Aqueous thickness (Position of Lens) L>E{~yh '************************************************************************* ^J^FGo|M eID = FindFullName( "Geometry.Arizona Eye.Lens" ) n<> ^cD GetCustomElement eID, entity Fn4yx~0 WJa7
parID = FindFullName( "Geometry.Arizona Eye" ) B~qo^ppVU C\Yf]J ' Delete any shift(s) in z O&;d8 2IA{ count = 0 ;qbK[3. While GetOperationCount(eID)>count t:P]bp^# GetOperation eID, count, op EL z5P}L6 If op.Type="ShiftZ" Then wmXI8'~F& DeleteOperation eID,count QkHG`yW count=count-1 i1KjQ1\a + End If c>3? T^= count=count+1 J]S30&? Wend ~7g$TAe{ l7VTuVGUJ 'Set new shift in t>*(v#WeZ op.Type = "ShiftZ" 60A!Gob op.val1 = taq 8<C@I/ op.parent = parID Z0y~%[1X AddOperation eID, op l. l)w Print "Set aqueous humor thickness = " & taq-0.55 NYG!\u\Rm 5P\A++22Y '************************************************************************* kv+^U^WoU 'Radius and conic constant of anterior lens |F<iu2\ '************************************************************************* <}8G1<QZ'. eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) /Lm~GmPt GetConic eID, entity, curv, conic 2P@6Qe
? RIO?rt; SetConic eID, entity, 1/Rant, CCant Mk973'K' Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant >m<T+{` /Qef[$!( '************************************************************************* v+79#qWK|n 'Radius and conic constant of posterior lens kdV9F '************************************************************************* Yjd/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) n$7*L9)(C GetConic eID, entity, curv, conic D2gyn-]\ R-OO1~W= SetConic eID, entity, 1/Rpost, CCpost ,`YBTU Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost P7bb2"_9 >g~IP> '************************************************************************* ~$j;@4 'Lens thickness (Position of posterior lens surface) l`:u5\ rM '************************************************************************* $G }9iV7 Y{#*;p*I parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /'_<~A I\c7V~^hnG ' Delete any z-shift(s) kZrc^ count = 0 S-~)|7d. While GetOperationCount(eID)>count HJym|G>%? GetOperation eID, count, op XIZN9/; If op.Type="ShiftZ" Then kw gLK@@%1 DeleteOperation eID,count LayK&RwL count=count-1 aot2F60J, End If ]vs}-go count=count+1
-%%Xx5D Wend Iu`S0#+ JZ5 ";*, 'Set new z-shift AL,7rYZG$ op.Type = "ShiftZ" .sM,U op.val1 = tlens ^EkxZ4*g op.parent = parID N81M9#,["~ AddOperation eID, op y0&vsoT Print "Set lens thickness = " & tlens UF }[%Sa l Ib
d9F '************************************************************************* /N<aN9Z<x, 'Lens index of refraction r7R.dD/. '************************************************************************* -KfK~P3PF eID = FindMaterial( "Lens" ) c?}G;$ GetModelMaterial eID, mat XOI"BLd tu* uQ:Ipk mat.Nd = nlens mD&I6F[s SetModelMaterial eID, mat <-n^h~,4 Print "Set lens index of refraction = " & nlens *mJ#|3I< Y3(MKq '************************************************************************* $U9]v5 'Pupil diameter t6mv '************************************************************************* 'kY/=*=Q eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) yE,qLiH w3sU& |N 'Adjust pupil diameter (trimming volume inner hole) c?. i;4yh +/RR!vG, SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" EU|IzUjFj| n=F
r v*"Z ' Adjust pupil location to just in front of the lens IpSWg parID = FindFullName( "Geometry.Arizona Eye" ) :b %2qBv eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) |mHf7gCX count = 0 8Q)|8xpYS While GetOperationCount(eID)>count `aG_ m/7| GetOperation eID, count, op G}+@C] If op.Type="ShiftZ" Then v@q&B|0 DeleteOperation eID,count U.I
w/T-5 count=count-1 C,$o+q*)W9 End If X;UEq]kcmn count=count+1 |&W4Dkn Wend %D:VcY9OC op.Type = "ShiftZ" Yk?q \1 op.val1 = taq-0.01
zp}pS2DU op.parent = parID ^dhx/e%s AddOperation eID, op }d>.Nj#zh +L.D3 Print "Set pupil diameter = " & pupilDiam FJCORa@?_ 3c,4 wyn 'Update AZ Eye subassembly Description y?O-h1"3, eID = FindFullName( "Geometry.Arizona Eye" ) vazA@|^8 GetEntity eID, entity ISFNP&&K entity.Description = "Accommodation = " & A & "D" c^pQitPv SetEntity eID, entity "a~r'+'< $%"hhju Update ob2_=hQnC Print "DONE!" Y%0rji {J,"iJKop End Sub (GpP=lSSeY 0#8, (6 如果屈光度是4,光瞳直径是4,则会输出如下数据: a)=|{QR>W m;{HlDez Accommodation = 4 Diopters rXMc0SPk Pupil Diameter = 4 mm se2Y:v Set aqueous humor thickness = 2.81 hE`d@ Set anterior lens radius = 10.4 and conic constant = -2.375869 'Rsr*gX# Set posterior lens radius = -4.424557 and conic constant = -3.081019 9{j`eAUZl Set lens thickness = 3.927 K\;4;6g Set lens index of refraction = 1.42672 ~1}fL 1~5 Set pupil diameter = 4 c_+fA DONE! 4^:dmeMZ` e Ru5/y~ (文章来源:讯技光电)
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