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简介 -Jt36|O fZcA{$Vc]N 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 I&`aGnr^^ B$qTH5)W 模型 A0OA7m:~4 fL*+[v4 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。 ]D4lZK>H p`EgMzVO, Table 1. AZ眼睛模型的定义 {yDQncq'^ 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. {< EPm&q 2@IL
n+# 光源 .osG"cS GWLdz0`2_ 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。 b1;h6AeL YRMe<upo m6#a{ 图1. 光源和提示信息使用 E#,\[<pc 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。 +d7Arg!m y06xl:iQwF 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。 Z}{]/=h efE=5%O 图2. 字母F光源的设定方法光 '$rCV,3q ?J-\}X 图3. 字母F在视网膜上位置点列图 TZGk[u^* 视网膜的散射 "$D'gSoYe sWB@'P:x 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。 d]:G#<. ,Xr`tQ<@ 9dm<(I} 图4. 视网膜朗伯散射设定 H_Xk;fM 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。 78r0K 5= }h1eB~6M Bl^BtE?-b 图5. 视网膜重点采样规格设定 kKjcW` [ 脚本 o
0T1pGs' O /:FY1 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: h-RhmQA=Iz ec/>LJDX7 图6. 用户对话框的创建与编辑 JVxja<43 图7. 用户对话框编辑器 Gs,e8ri! 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。 f/s" 2r 余下的脚本计算与屈光度有关的所有参数。 k"C'8<T)' \Rb:t} 分析 NqGSoOjIO2 I>##iiKN 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 Od^Sr4C Z`86YYGK 图7. 字母F在视网膜上颜色分析 y. 1F@w| 脚本代码 fms(_Q:R? wOCAGEg Option Explicit 'Remove this to enable non-dimensioned variables to be used. ,I ][ =FI[/"476 Dim entity As T_ENTITY !d U$1:7 Dim op As T_OPERATION 3~V. Dim mat As T_MODELMATERIAL ~MXhp5PI Dim A As Double F_m'
9KX4E Dim pupilDiam As Double g<,0kl2'S Dim eID As Long T,jb%uPcE Dim parID As Long ;<thEWH;Y Dim count As Integer wW/q#kc Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double D6|-nl Dim tlens As Double, nlens As Double 8UXRM :Z" Dim curv As Double, conic As Double 6/?onEL9_ Dim ok As Long pT3icy!A= 1r_V$o$ Sub Main zx,9x*g 'TuaP`]< '用户输入对话框 A0U9,M Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 Pr(@&:v: TextBox 220,21,40,21,.TextBox1 'default: 0 )J0h\ky Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 awvP;F?q| OKButton 40,91,90,21 GBWL0'COV CancelButton 190,91,90,21 Kd58'$ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 zH6@v+gb TextBox 220,49,40,21,.TextBox2 'default: 4 9jX_Eoxy End Dialog )p1~Jx( \ Dim dlg As UserDialog #p55/54ZI h3&|yS| ok = Dialog (dlg) Mp>(cs kd\Hj~* If ok=0 Then 'cancel button was pressed (Nk[ys}%* Print "Execution cancelled." q<!-Anc End QIlZZ End If a'/i/@h k4hk*
0Jq 'Assign accommodation and pupil diameter & use defaults if field left empty &e;Qabwxva If dlg.TextBox1 = "" Then I[v`)T'_{ A = 0 'Default accommodation FMI1[|:; Else '
|B3@9< A = CDbl(dlg.TextBox1) **kix End If 3l41"5Fy& RLMn&j|?e If dlg.TextBox2 = "" Then X-kOp9/. pupilDiam = 4 'Default pupil diameter #vxq|$e Else ]d@>vzCO pupilDiam = CDbl(dlg.TextBox2) )RvX}y- End If X?wZ7*'1 l
v hJ Print " " s</qT6@ Print "Accommodation = " & A & " Diopters" z\A
),; Print "Pupil Diameter = " & pupilDiam & " mm" KXK5\#+L `&7tADFB ' Calculate new parameters with accommodation m,!SDCq taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 9A} * r{9fm, Rant = 12.0 - 0.4*A 'Radius of anterior lens .#$2,"8 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens wW1\{<hgr dzPewOre* Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 3B
'j?+A CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 3^~J;U!3 ;l0dx$w tlens = 3.767 + 0.04*A 'Lens thickness 0
}od Q# ],S {?!'1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction I4?oBq 0V(}Zj> 'Adjust parameters to account for accommodation ?z&%VU" S7Ty}?E@ '************************************************************************* =3w;<1 ?'
'Aqueous thickness (Position of Lens) Cp"7R&s '************************************************************************* ,&WwADZ-s eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Cd"{7<OyM4 GetCustomElement eID, entity ]2qKc \rzMgR$/rj parID = FindFullName( "Geometry.Arizona Eye" ) >20dK [i ~qVn2vT ' Delete any shift(s) in z
Pap6JR{7 count = 0 h )5S4) While GetOperationCount(eID)>count YnU)f@b# GetOperation eID, count, op ,:A;4 If op.Type="ShiftZ" Then |oXd4 DeleteOperation eID,count BB(6[V"SV count=count-1 z_fjmqa? End If w"s@q$}]8M count=count+1 79W^;\3 Wend a~$Y;C_#< Lm2)3;ei 'Set new shift in 5HV+7zU5 op.Type = "ShiftZ" ~<n.5q%Z op.val1 = taq @|DQZt op.parent = parID e@ZM&iR AddOperation eID, op mA+:)?e5~ Print "Set aqueous humor thickness = " & taq-0.55 ud$-A 3>@VPMi '************************************************************************* yW=+6@A4 'Radius and conic constant of anterior lens WXY'%G '************************************************************************* WJnGF3G> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) }QE*-GVv] GetConic eID, entity, curv, conic X$ZVY2 7<]
EH:9 SetConic eID, entity, 1/Rant, CCant IUFc_uL@\ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant qGV_oa74 <SI|)M,, 3 '************************************************************************* ^F+7<$2 'Radius and conic constant of posterior lens "
L`)^ '************************************************************************* \xCCJWek eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ^x: lB> GetConic eID, entity, curv, conic ~$g: kygw}|, N SetConic eID, entity, 1/Rpost, CCpost zR^Gy" Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Tz,9>uN L!If~6oD( '************************************************************************* sE6>JaH 'Lens thickness (Position of posterior lens surface) F^NK"<tW '************************************************************************* "a8E0b
K%? g6j parID = FindFullName( "Geometry.Arizona Eye.Lens" ) x1.S+: p/HDG
^T:u ' Delete any z-shift(s) ^U*y*l$
count = 0 p2i?)+z While GetOperationCount(eID)>count WYUDD_m GetOperation eID, count, op Q,&Li+u| If op.Type="ShiftZ" Then RDp DeleteOperation eID,count akzGJ3g count=count-1 "+ou!YK+ End If WR"D7{>tw count=count+1 eMJ>gXA] Wend -V|"T+U w#|L8VAh 'Set new z-shift rR> X< op.Type = "ShiftZ" "s(~k op.val1 = tlens E5bVCAz op.parent = parID }|kFHodo AddOperation eID, op l?U=s7s0? Print "Set lens thickness = " & tlens AAevN3a#nI :hX[8u '************************************************************************* TmQIpeych 'Lens index of refraction l}))vf=i '************************************************************************* GkIY2PD eID = FindMaterial( "Lens" ) Hsf::K x GetModelMaterial eID, mat $Iwvecn?I ixdsz\< mat.Nd = nlens k2U*dn"9U SetModelMaterial eID, mat XVYFyza; Print "Set lens index of refraction = " & nlens }'$PYAf6 ZD]1C~) '************************************************************************* "<!U 'Pupil diameter FmL]|~ '************************************************************************* T }}2J/sj eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) qz-QVY, N T`S)P*? 'Adjust pupil diameter (trimming volume inner hole) ~|V^IJZ22 Wh)D_ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" x]+PWk <1D|TrP ' Adjust pupil location to just in front of the lens sS>b}u+v#! parID = FindFullName( "Geometry.Arizona Eye" ) A9$x8x*Lt eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) tJ\
$% count = 0 kJWg},-\ While GetOperationCount(eID)>count >NRppPqL GetOperation eID, count, op iVXt@[ If op.Type="ShiftZ" Then HC%Hbc~S_Q DeleteOperation eID,count 7zb^Z] count=count-1 fK J-/{| End If 8D='N`cN+ count=count+1 .-KI,IU Wend )/T[Cnx.Nc op.Type = "ShiftZ" :
uncOd. op.val1 = taq-0.01 k{}> *pCU op.parent = parID oJ74Mra AddOperation eID, op qb>41j9_t jx: IK Print "Set pupil diameter = " & pupilDiam j[G`p^ul fZG Y'o&5 'Update AZ Eye subassembly Description R6+)&:Ab{R eID = FindFullName( "Geometry.Arizona Eye" ) Aqyw GetEntity eID, entity j/O~8o& entity.Description = "Accommodation = " & A & "D" :GXF=Df SetEntity eID, entity
=@HS a+w2cN' Update _fHC+lwN Print "DONE!" #,%bW[L<N Nd~B$venh End Sub X0lPRk53( p['RV 如果屈光度是4,光瞳直径是4,则会输出如下数据: l4bytI{63 36"n7 Accommodation = 4 Diopters ar3L|MN Pupil Diameter = 4 mm XUqorE Set aqueous humor thickness = 2.81 (bsx|8[ Set anterior lens radius = 10.4 and conic constant = -2.375869 m=dNJF Set posterior lens radius = -4.424557 and conic constant = -3.081019 |R`"Zu` Set lens thickness = 3.927 f9.?+.^_ Set lens index of refraction = 1.42672 !J$r|IX5 Set pupil diameter = 4 sh<Q2X
DONE! $DbnPZ2$
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