-
UID:317649
-
- 注册时间2020-06-19
- 最后登录2025-11-19
- 在线时间1888小时
-
-
访问TA的空间加好友用道具
|
简介 ?%`Ph ?BZl $@@ii+W}\ 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 TE;f*! bfpeK>T 模型 Oe
x
g4=C]\1 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 (V&8
WN H#7=s{u Table 1. AZ眼睛模型的定义 q_6lD~~q^ 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. sVr|kvn2 }-sh 光源 )sW!s3>S> g0"xG}d 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 Zo-,TKgY' jI'?7@32` !?_CIt$p 图1. 光源和提示信息使用 yZ 7)|j 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。 gaQ E'qp> |JR`" nF` 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。 bl&9O @54$IhhT~ 图2. 字母F光源的设定方法光 b+q'xnA=> :!l.ze{F 图3. 字母F在视网膜上位置点列图 V dvj*I 视网膜的散射 ," 5HJA4 h^_^)P+; 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Y@:l!4DI jygUf| 2q]ZI 图4. 视网膜朗伯散射设定 50dN~(;p 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 Q|P
M6ta `q\F C[W 8\9W:D@"x 图5. 视网膜重点采样规格设定 7FkiT 脚本 VRgckh
m
Ip`1Wv_ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: \a7m!v |EdEV*.ej 图6. 用户对话框的创建与编辑 /s%-c!o^ 图7. 用户对话框编辑器 S"@6, 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 *1!'ZfT; 余下的脚本计算与屈光度有关的所有参数。 I
L7kpH+y ={v(me0ZPb 分析 }5 n\us ?$ov9U_ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 *g
%bdO ^wc:qll 图7. 字母F在视网膜上颜色分析 <$hv{a 脚本代码 _VjaTw8iM 88<d<)7t Option Explicit 'Remove this to enable non-dimensioned variables to be used. )MSCyPp5 gx^_bHh Dim entity As T_ENTITY w8~R=k Dim op As T_OPERATION S&-F(#CF^ Dim mat As T_MODELMATERIAL #g@4c3um| Dim A As Double o3\^9-jmp Dim pupilDiam As Double |A,.mOT Dim eID As Long cUP1Uolvn Dim parID As Long \!jz1`]&{ Dim count As Integer fj['M6+wd Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double g"Hl 30o Dim tlens As Double, nlens As Double ?D7zty+}^ Dim curv As Double, conic As Double p
%.Adxx Dim ok As Long 8%?MRRK
<&`Rf6 Sub Main 2Mq@5n k<j]b^jbz '用户输入对话框 2"|7 YI Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _1O .{O TextBox 220,21,40,21,.TextBox1 'default: 0 J E5qR2VA Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _a9oHg OKButton 40,91,90,21 ^\ln8!; CancelButton 190,91,90,21 b@=H$" Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 z79oj\&[ TextBox 220,49,40,21,.TextBox2 'default: 4 tUZfQ End Dialog pO fw *lD Dim dlg As UserDialog +:jv )4^O +A1*e+/b\ ok = Dialog (dlg) K$GQc" /qwY/^ If ok=0 Then 'cancel button was pressed [>_zV.X Print "Execution cancelled." _qk&W_u End TG8 U=9qt End If gaNe\ hT_Q_1, 'Assign accommodation and pupil diameter & use defaults if field left empty S76MY&Vx23 If dlg.TextBox1 = "" Then pRxVsOb A = 0 'Default accommodation DzA'MX Else 8 l= EL7 A = CDbl(dlg.TextBox1) T*Ge67 End If (RrC<5" K0o${%'@7 If dlg.TextBox2 = "" Then m+7%]$ pupilDiam = 4 'Default pupil diameter )+Z.J]$O- Else @c"s6h& pupilDiam = CDbl(dlg.TextBox2) {*g{9` End If ]oz >/\! @].!}tz Print " " `'P&={p8 Print "Accommodation = " & A & " Diopters" 3}3b@: < Print "Pupil Diameter = " & pupilDiam & " mm" sK9RViqF\ J(~1mIJjC ' Calculate new parameters with accommodation )K::WqR%w) taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 7@e}rh?N-| kef%5B Rant = 12.0 - 0.4*A 'Radius of anterior lens z<^LY] CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens x./"SQ=R+ v@2@9/ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens [4bE"u CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vg@5`U`^h GcA|JS=> tlens = 3.767 + 0.04*A 'Lens thickness ?dv-`)S& bUM4^m nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction |/ 8!PKm |=~mRqG 'Adjust parameters to account for accommodation cD!E.2[ <tsexsw '************************************************************************* yt,Ky8y1 'Aqueous thickness (Position of Lens) ./.aLTh '************************************************************************* 5{i NR4sq eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #j+cl' GetCustomElement eID, entity 3QVUWhJ kD1Nq~h2 parID = FindFullName( "Geometry.Arizona Eye" ) T*C
F5S 5&_")k3$* ' Delete any shift(s) in z r|
\"" count = 0 9AQ,@xP| While GetOperationCount(eID)>count L*|P' GetOperation eID, count, op zLg$|@E& If op.Type="ShiftZ" Then *<[\|L:#]Z DeleteOperation eID,count TXV^f* count=count-1 Ku uiU=
(L End If ea`6J count=count+1 d( ru5*p Wend 9H:J&'Xi7 "H@I~X=
'Set new shift in 0yMHU[):~ op.Type = "ShiftZ" i-p,x0th op.val1 = taq ZWjje6 op.parent = parID Bf+~&I#E AddOperation eID, op M$>Nd6,@N Print "Set aqueous humor thickness = " & taq-0.55 '^7UcgugB X_bB6A6 '************************************************************************* KyP@ hhj 'Radius and conic constant of anterior lens vo)W
ziHh '************************************************************************* Lc]hwMGR* eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ;p<BiC$b GetConic eID, entity, curv, conic oOubqx JX&%5sn( SetConic eID, entity, 1/Rant, CCant ePaC8sd0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant <pKOFN%m 1;{nU.If '************************************************************************* ~q/~ u 'Radius and conic constant of posterior lens Nr)DU.f '************************************************************************* +u5xK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) 0Ny +NE:6M GetConic eID, entity, curv, conic 8ql<7RTM! 60e{]}Z SetConic eID, entity, 1/Rpost, CCpost 7
TM-uA$ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Zn Rj}y >){}nlQf '************************************************************************* z-"P raP 'Lens thickness (Position of posterior lens surface) /!6 VP | '************************************************************************* Al *yx_j ?
IlT[yMw parID = FindFullName( "Geometry.Arizona Eye.Lens" ) `jhbKgR[ 10r!p:D ' Delete any z-shift(s) @(N}
{om count = 0 LL+_zBP. While GetOperationCount(eID)>count "qZTgCOY2 GetOperation eID, count, op 3|)cT1ej If op.Type="ShiftZ" Then fT?m~W^ DeleteOperation eID,count $DnJ/hg;qD count=count-1 asy:[r" End If @ IDY7x27 count=count+1 JP
;SO Wend 1sJz`+\ vtK.7AF 'Set new z-shift _pvt,pW op.Type = "ShiftZ" ^ AZv4H*~ op.val1 = tlens K9nW"0> op.parent = parID HB.:/5\ AddOperation eID, op ^)| tf\4 Print "Set lens thickness = " & tlens ~qTChCXP XI`s M~' '************************************************************************* zNn 'Lens index of refraction +~
Y.m8 '************************************************************************* Zk|PQfi+ eID = FindMaterial( "Lens" ) Y q|OX<i`K GetModelMaterial eID, mat 6~?yn-Z 9>&p:+D mat.Nd = nlens 'b >3:& SetModelMaterial eID, mat 7[R`52pP Print "Set lens index of refraction = " & nlens ).Iifu|ks }y(cv}8Y '************************************************************************* 7<2^8` 'Pupil diameter SF ^$p$mC '************************************************************************* @|OGxQoC eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ]]_c3LJ2` C9FAX$$^(Y 'Adjust pupil diameter (trimming volume inner hole) #0^a-47PA< {aopGu?i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" q!h'rX=_- lD#
yXLaC\ ' Adjust pupil location to just in front of the lens rV-Xsf7Z parID = FindFullName( "Geometry.Arizona Eye" ) Aaz:C5dtU eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) /:,}hy+U count = 0 p"*xyex While GetOperationCount(eID)>count G \$x. GetOperation eID, count, op %_>8.7 If op.Type="ShiftZ" Then .H&XPW DeleteOperation eID,count U:PtRSdn!b count=count-1 <<@F{B7h End If ys7Tq+ count=count+1 2@N-#x' Wend (&_~eYZU op.Type = "ShiftZ" ]2@lyG#<< op.val1 = taq-0.01 VjeF3pmBa op.parent = parID =#{q#COK$ AddOperation eID, op rTST_$"_6 <Y;w
I#C Print "Set pupil diameter = " & pupilDiam &v:[+zw :C&6M79k 'Update AZ Eye subassembly Description WK{F eID = FindFullName( "Geometry.Arizona Eye" ) $g,v]MW GetEntity eID, entity srKEtd" entity.Description = "Accommodation = " & A & "D" VY=YI}E SetEntity eID, entity UMPW<>z tq*6]q8c> Update :j32 :/u Print "DONE!" '@^mesMG rfh`;G5s End Sub =66'33l2 4#B56f8 如果屈光度是4,光瞳直径是4,则会输出如下数据: _@_EQ!= h=kC3ot\ Accommodation = 4 Diopters |#(y?! A^ Pupil Diameter = 4 mm t7e7q"+/ Set aqueous humor thickness = 2.81 uj)fah?Wg Set anterior lens radius = 10.4 and conic constant = -2.375869 oC3W_vH.% Set posterior lens radius = -4.424557 and conic constant = -3.081019 ~*tn|?% Set lens thickness = 3.927 @qF:v]=_@ Set lens index of refraction = 1.42672 O6\c1ha Set pupil diameter = 4 P_.AqEH DONE! hij
9r z rWN%j)#+ h5v=h>c QQ:2987619807 m,rkKhXP
|