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简介 &Nj:XX;X 5,G<}cd 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。 =X%R*~!#Of ,& \&::R 模型 q_%w
l5\F W? 6 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。 vh:UXE lm X7imUy'. Table 1. AZ眼睛模型的定义 VygXhh^7\ 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. ePu2t3E |{}d5Z"5;} 光源 ID{Pzmt- pE YrmC 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。 T^-H_|/M H8=vQy qAuUe=w%p 图1. 光源和提示信息使用 hz>yv@1 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。 0N}
wD- Cx1Sh#9 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。 M7cI$=G ?L~=Z\H 图2. 字母F光源的设定方法光 2C
8L\ tZc.%TU 图3. 字母F在视网膜上位置点列图 +2_6C;_DX 视网膜的散射 6{FS/+ ADwwiq#E 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 )oz-<zW .-1{,o/&Q 6m;wO r 图4. 视网膜朗伯散射设定 EcS-tE4% 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 ZCOuv6V+ MIMPJXT#. 9O0 图5. 视网膜重点采样规格设定 dA M ilTo 脚本 Af!
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K= ah&plaVzC 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: w1!\L_::Y _QtQPK\+ 图6. 用户对话框的创建与编辑 BzG!Rg|J 图7. 用户对话框编辑器 '=G<)z@k 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 WTy8 N 余下的脚本计算与屈光度有关的所有参数。 xr7<(:d "
:nVigw& 分析
;] `NR vng8{Mx90* 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 AQBx
k[ b3HTCO-,fC 图7. 字母F在视网膜上颜色分析 4@V <Suw 脚本代码 YaE['a <xh'@592 Option Explicit 'Remove this to enable non-dimensioned variables to be used. +
1%^c(3 Zv7$epDUz Dim entity As T_ENTITY 6;=wuoJi Dim op As T_OPERATION ^{]sD}Q" Dim mat As T_MODELMATERIAL KX`nHu; Dim A As Double ~Sem_U`G Dim pupilDiam As Double {CyPcD'$s Dim eID As Long kpMM%"=V Dim parID As Long V/[,1W[B Dim count As Integer `LHfAXKN Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double
0{Ll4 Dim tlens As Double, nlens As Double =rtA{g$)+ Dim curv As Double, conic As Double h,jAtL! Dim ok As Long X72X:" OQb9ijLeK Sub Main Chi<)P$^ 8LM1oal} '用户输入对话框 !iz vY Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 n[w,x; TextBox 220,21,40,21,.TextBox1 'default: 0 CzsY=DBH= Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 1R~WY'Ed OKButton 40,91,90,21 3*23+}^G CancelButton 190,91,90,21 r`"#c7)
Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 M{kh=b)V TextBox 220,49,40,21,.TextBox2 'default: 4
q>oH(A End Dialog `j"G=%e3. Dim dlg As UserDialog 7;-i_&vws _CwQ}n* ok = Dialog (dlg) U=#ylQ 4 AmF^H If ok=0 Then 'cancel button was pressed %L|bF"K5; Print "Execution cancelled." >\x
39B End =X'7V}Q} End If DczF0Ow 5Cyjq0+ 'Assign accommodation and pupil diameter & use defaults if field left empty :Ty*i If dlg.TextBox1 = "" Then KcF+!;: A = 0 'Default accommodation bvRGTOxO Else <%JO3E A = CDbl(dlg.TextBox1) o-Fle, qf End If +rO<'H:umJ [jn;|
3 If dlg.TextBox2 = "" Then '
1]bjW*! pupilDiam = 4 'Default pupil diameter 9F1stT0G% Else oi4Wxcj pupilDiam = CDbl(dlg.TextBox2) g*imswj7 End If wupD FAl 6 Print " " 1>{-wL4rc Print "Accommodation = " & A & " Diopters" 17 iq Print "Pupil Diameter = " & pupilDiam & " mm" ~*]`XL.- yC*B OJS ' Calculate new parameters with accommodation .TS=[WGMS taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness !#s7 F V/%;:ul. Rant = 12.0 - 0.4*A 'Radius of anterior lens t? Ja q CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens oT{yttSNo O!Cu.9} Rpost = -5.224557 + 0.2*A 'Radius of posterior lens GlD'?Mk1 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens w o9f99 -)+DVG.t tlens = 3.767 + 0.04*A 'Lens thickness <]qd9mj5 uL AXN nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 3m7V6##+ U {!{5l: 'Adjust parameters to account for accommodation xmx;tq !jnIXvT1qy '************************************************************************* fG5} '8 'Aqueous thickness (Position of Lens) oF^hq-xcP '************************************************************************* )B4c;O4t eID = FindFullName( "Geometry.Arizona Eye.Lens" ) rL"k-5>fd GetCustomElement eID, entity 8{t&8Ql n Bz~h- parID = FindFullName( "Geometry.Arizona Eye" ) 3mz>Y*^?0 HNT8~s.2 ' Delete any shift(s) in z W/Q%%)J count = 0 gi >{`.] While GetOperationCount(eID)>count Isb^~c_P GetOperation eID, count, op f`rz)C03 If op.Type="ShiftZ" Then qEz'l'%( DeleteOperation eID,count TvwIro count=count-1 HE'8 End If ibw;BU count=count+1 +[9"M+4- Wend /MtacR giJyMd}x 'Set new shift in 6s2g +[ op.Type = "ShiftZ" Xy}S}9 op.val1 = taq 6<nO2 GW op.parent = parID :h~!#;w_ AddOperation eID, op 4gENV{L Print "Set aqueous humor thickness = " & taq-0.55 1X.1t^HH: gv-k}2u_ '************************************************************************* u)pBFs<dn 'Radius and conic constant of anterior lens RVnYe=' '************************************************************************* h]P$L> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zt0 zKXw GetConic eID, entity, curv, conic sAlgp2- RoRVu,1 SetConic eID, entity, 1/Rant, CCant TD7ONa-, Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant &r%3)Z8Et DBDfBb '************************************************************************* T7'$A!c 'Radius and conic constant of posterior lens ^+<uHd> '************************************************************************* q(W@=-uDK eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) -Ma"V GetConic eID, entity, curv, conic DUr1s]+P %}:J
9vra SetConic eID, entity, 1/Rpost, CCpost xd@DN;e Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost k#n=mm'N9 r kl7p? '************************************************************************* dz 2d`=`3 'Lens thickness (Position of posterior lens surface) eGil`:JY" '************************************************************************* h@d
m:=ul Xv:IbM>
Qc parID = FindFullName( "Geometry.Arizona Eye.Lens" ) cj
*4XYu LAeX e!y ' Delete any z-shift(s) k_B^2= count = 0 %54![-@ While GetOperationCount(eID)>count GZo4uwG@a GetOperation eID, count, op %*nZ,r If op.Type="ShiftZ" Then .bGeZwvf:G DeleteOperation eID,count }d(6N&;"zN count=count-1 VUb*,/hxa End If %ZK}y{u\ count=count+1 *gn*S3Is[j Wend .$iIr:Tc> x?IT#ty 'Set new z-shift tDo0Q/` op.Type = "ShiftZ"
f/ZE_MN2 op.val1 = tlens KX`,7- op.parent = parID w6_}]
&F AddOperation eID, op Up&q#vqIj Print "Set lens thickness = " & tlens ks}o9[D3 (L1`]cp '************************************************************************* x3Uv& 'Lens index of refraction ?x@khzk '************************************************************************* )[1m$> eID = FindMaterial( "Lens" ) OBZj-`fq J GetModelMaterial eID, mat (EX '<Gqu_- mat.Nd = nlens &%lhov SetModelMaterial eID, mat BlUY9`VWh@ Print "Set lens index of refraction = " & nlens $$@Tgkg?o J*k4&l '************************************************************************* >@" j9 'Pupil diameter ect?9S[!y '************************************************************************* !Xm: $KH eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ARE~jzakg 5IMH G%W7 'Adjust pupil diameter (trimming volume inner hole) d,77L P*SXfb"HC SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" :.cX3dP@ DQ)SMqOotw ' Adjust pupil location to just in front of the lens o;.-I[9h] parID = FindFullName( "Geometry.Arizona Eye" ) ;%1^k/b6t eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) e([&Nr8h count = 0 ZLkJYZk While GetOperationCount(eID)>count D1f=f88/} GetOperation eID, count, op 0`W~2ai If op.Type="ShiftZ" Then
v>XE]c_ DeleteOperation eID,count Ssj'1[% count=count-1 ^tv*I~>J! End If gJ])A7O count=count+1 j!s&yHE1 Wend ? _W*7< op.Type = "ShiftZ" S;])Nt'X' op.val1 = taq-0.01 0e7!_/9 op.parent = parID N ]duv~JS AddOperation eID, op '|Oi#S +FiV!nRkZ Print "Set pupil diameter = " & pupilDiam '.=Z2O3p $?\],T 'Update AZ Eye subassembly Description W{0:8_EI eID = FindFullName( "Geometry.Arizona Eye" ) *%O1d., GetEntity eID, entity 8<^,<? entity.Description = "Accommodation = " & A & "D" :.dQY=6I SetEntity eID, entity )oj`K,# c|7Pnx%gT Update HiC\U%We Print "DONE!" ymKdRF U2aE:$oeYi End Sub /$n${M5!
3t,SXI@ 如果屈光度是4,光瞳直径是4,则会输出如下数据: P
,i)A 4=9F1[ Accommodation = 4 Diopters |"mb59X Pupil Diameter = 4 mm 8{ep`$(K@ Set aqueous humor thickness = 2.81 F JzjS; Set anterior lens radius = 10.4 and conic constant = -2.375869
@.})nU Set posterior lens radius = -4.424557 and conic constant = -3.081019 dw&Xg_$ Set lens thickness = 3.927 TX>;2S3q Set lens index of refraction = 1.42672 982$d<0% Set pupil diameter = 4 68y.yX[ DONE! HV sIbQS
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