FRED运用:Arizona眼睛模型
简介 {Hg.ctam 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。 HfEU[p7) w'E&w)Z] 模型 X<{kf-GP Y@N-q 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。 IGqg,OEAp T9N][5 \
Table 1. AZ眼睛模型的定义 [attachment=67931] ZqH.$nXP 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. |#G.2hMFr <WhdQKFf- 光源 eK[8$1 5nC#<EE 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ;zk& 7P0 ?Co)7}N IJ >qs8
[attachment=67932] 图1. 光源和提示信息使用 M,nX@8 _h 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Bc{j0Su oZm)@Vv; 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 mX2i^.zH /Ilve
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[attachment=67933] 图2. 字母F光源的设定方法光 @$o.Z;83`r =Ts2a"n
[attachment=67934] 图3. 字母F在视网膜上位置点列图 ypyqf55gK 视网膜的散射 mcbvB5U .=@xTJh 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。 5eS0
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[attachment=67935] 图4. 视网膜朗伯散射设定 ;\1/4;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。 /Wos{}Z0 3azyqpwU$ C{Y0}ZrmlF
[attachment=67936] 图5. 视网膜重点采样规格设定 D XFU~J* 脚本 v0psth?qV r2dU>U*:4 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: .T;:6/??1 UYOveQ;
[attachment=67937] 图6. 用户对话框的创建与编辑 rBY)rUDd4
[attachment=67938] 图7. 用户对话框编辑器 -lICoRO# 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。 3(?V!y{@ 余下的脚本计算与屈光度有关的所有参数。 ",&^ f %0-fn' 分析 LTsX{z N>a. dYXr 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 {nQ?+o3 OGA_3|[S
[attachment=67939] 图7. 字母F在视网膜上颜色分析 jTSN`R9@ 脚本代码 mV~aZM0' $qndG,([F Option Explicit 'Remove this to enable non-dimensioned variables to be used. M{(g"ha 'c]Fhe fb Dim entity As T_ENTITY 4\?z^^ Dim op As T_OPERATION hD)'bd Dim mat As T_MODELMATERIAL
p"l GR&b Dim A As Double ML:Zm~A1U Dim pupilDiam As Double N+0[p@0 Dim eID As Long <vb%i0+b.^ Dim parID As Long 1:Sq?=& Dim count As Integer r^g"%nq9/ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 3rdrNc Dim tlens As Double, nlens As Double \t=ls Dim curv As Double, conic As Double `#g62wb,HY Dim ok As Long q7#4e?1 Yee%
<<S Sub Main +Oxw?`I$ -e2f8PV?3 '用户输入对话框
]S2F9 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 b7uxCH]Z
TextBox 220,21,40,21,.TextBox1 'default: 0 A r=P;6J Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 .
.5s2 OKButton 40,91,90,21 #B$r|rqamq CancelButton 190,91,90,21 V7S[rI<<r Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 FN+x<VXo( TextBox 220,49,40,21,.TextBox2 'default: 4 &eA!h End Dialog )(/Bw&$ Dim dlg As UserDialog XJSI/jpa@ +<})`(8 ok = Dialog (dlg) ._X|Ye9/ w/49O;r V If ok=0 Then 'cancel button was pressed >?L)+*^ Print "Execution cancelled." N9S?c End t3l-] End If IE*5p6IM~ ;t xW\iy%Z 'Assign accommodation and pupil diameter & use defaults if field left empty 8V?*Bz-4` If dlg.TextBox1 = "" Then '=V1'I*
A = 0 'Default accommodation AqZ()p*z Else yDORL|
E' A = CDbl(dlg.TextBox1) hY(q@_s End If dq4t@:\o0 7`P1=`.. If dlg.TextBox2 = "" Then zcE`.)y pupilDiam = 4 'Default pupil diameter A+QOox]< Else j
e;^i,& pupilDiam = CDbl(dlg.TextBox2) IM(=j End If 4#Rq}/h qDK\MQ! Print " " K&IHt?vh! Print "Accommodation = " & A & " Diopters" V9\y*6#Y, Print "Pupil Diameter = " & pupilDiam & " mm" Rq[VP# na`8ulN_ ' Calculate new parameters with accommodation |h 3`z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /ReOf<%B KB`">zq$u Rant = 12.0 - 0.4*A 'Radius of anterior lens b8O }XB CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens vO
3-B 8h{;*Wr- Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ;kLp}CqV CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 8eDKN9kq =vD}O@tN tlens = 3.767 + 0.04*A 'Lens thickness # n\|Q\W ;/~%D( nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction @~j--L 'iikcf*)C 'Adjust parameters to account for accommodation A5 <T7~U J PmZ%]wA '************************************************************************* qG8-UOUDt 'Aqueous thickness (Position of Lens) omZ
bn '************************************************************************* }Zp5d7(@w eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Lv<)Dur0K GetCustomElement eID, entity g7`uWAxZa *<l9d parID = FindFullName( "Geometry.Arizona Eye" ) hB1Gtc4n J?[}h&otQ ' Delete any shift(s) in z c]3^2Ag, count = 0 f'& While GetOperationCount(eID)>count rT!9{uK GetOperation eID, count, op +l@+e_> If op.Type="ShiftZ" Then 0$I!\y\ DeleteOperation eID,count V?C_PMa count=count-1 >vk?wY^f End If I%#
e\ count=count+1 i=s>a;*# Wend 9
?(P?H >YP]IQ 'Set new shift in od`:w[2\ op.Type = "ShiftZ" O/{W:hJjd op.val1 = taq 2@+MT z op.parent = parID F/chE c
V AddOperation eID, op L}.V`v{zc Print "Set aqueous humor thickness = " & taq-0.55 xO XCCf/ F<^93a9 '************************************************************************* qkh.?~ 'Radius and conic constant of anterior lens n 7m! '************************************************************************* Dwi[aC+k eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) cwKOE?! GetConic eID, entity, curv, conic zP;1mN WgC*bp{ SetConic eID, entity, 1/Rant, CCant <B=!ZC=n Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant -Drm4sTpDb (??|\
&DTi '************************************************************************* `Ef&h V 'Radius and conic constant of posterior lens Gj(UA1~1 '************************************************************************* D[iIj_CKQ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) js8GK GetConic eID, entity, curv, conic K#],4OG uH?lj& SetConic eID, entity, 1/Rpost, CCpost -"Q[n,"Y Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k%v/&ojI !kg)8 4C[ '************************************************************************* R@H}n3, 'Lens thickness (Position of posterior lens surface) )gq( '************************************************************************* )QiHe} [j`-R
0Np parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #pz{, vXi}B ' Delete any z-shift(s) Q|W!m0XO count = 0 m%?b"kxL[ While GetOperationCount(eID)>count \ml6B6 GetOperation eID, count, op )iG+pP@.@ If op.Type="ShiftZ" Then G
]mX+? DeleteOperation eID,count lt&30nf= count=count-1 e`Z3{H} End If >
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R3b count=count+1 vDAv/l9 Wend 4$+9k;m' WsCzC_'j. 'Set new z-shift 8Bnw//_pT op.Type = "ShiftZ" t(:6S$6{e op.val1 = tlens >MIp r op.parent = parID 8@a|~\3- AddOperation eID, op WxS=Aip' Print "Set lens thickness = " & tlens 9N'um%J3%s $PQlaivA '************************************************************************* 5}4MXI4 'Lens index of refraction jdY v*/^ '************************************************************************* q61
rNOw_ eID = FindMaterial( "Lens" ) IK6XJsz$J GetModelMaterial eID, mat #dGg !D r4xq%hy mat.Nd = nlens AOaf ,ZF
8 SetModelMaterial eID, mat 'c<@SVF{Zz Print "Set lens index of refraction = " & nlens VM3H&$d(h cF[[_ '************************************************************************* dMwVgc: 'Pupil diameter V6d*O`
'************************************************************************* 9e Dji, eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) >gr6H1 4[!&L:tR 'Adjust pupil diameter (trimming volume inner hole) /j'We-C 8[FC SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" #1zWzt|DW Iq\sf-1E ' Adjust pupil location to just in front of the lens t@/r1u|iq parID = FindFullName( "Geometry.Arizona Eye" ) ^tuJM: eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) cQv*lvG9> count = 0 =fHt|}.K While GetOperationCount(eID)>count $XI5fa4Tt GetOperation eID, count, op j>s%q. If op.Type="ShiftZ" Then P
N_QK Z DeleteOperation eID,count w'5~GhnP+ count=count-1 zF]hfP0Q End If zoOm[X=?3 count=count+1 vfegIoZ Wend ;8g#"p*& op.Type = "ShiftZ" 0{PK]qp7 op.val1 = taq-0.01 EW4XFP4
c op.parent = parID -JZl?hY( AddOperation eID, op !*|CIxk( KX<RD|= Print "Set pupil diameter = " & pupilDiam %4L|#^7:
W{;!JI7;z 'Update AZ Eye subassembly Description f8?K_K;\ eID = FindFullName( "Geometry.Arizona Eye" ) N"t,6tH GetEntity eID, entity =10t3nA1$ entity.Description = "Accommodation = " & A & "D" BJj~fNm1Zr SetEntity eID, entity /,0t,"&Aqa \hM6 ykY- Update MO#%w Print "DONE!" r 'jVF'w rP`\<}a. End Sub z7P PwTBa $zmES tcm 如果屈光度是4,光瞳直径是4,则会输出如下数据: Ky nZzR Y\p
yl Accommodation = 4 Diopters ydns_Z Pupil Diameter = 4 mm }UGPEf\ Set aqueous humor thickness = 2.81 *=/XlSWF Set anterior lens radius = 10.4 and conic constant = -2.375869 nLtP^
1~9H Set posterior lens radius = -4.424557 and conic constant = -3.081019 ;*Z
w}51 Set lens thickness = 3.927 syZ-xE]} Set lens index of refraction = 1.42672 =_yOX=g| Set pupil diameter = 4 \R-u+ci$ZY DONE! x(b&r g.-0 +&?VA!}.
(文章来源:讯技光电)
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