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简介 W=v4dy]B 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。 V`OeJVe #hEN4c[Ex 模型 a+$WlG/x / ,3,l^kZ 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。 HC0q_%j ZCJOh8 Table 1. AZ眼睛模型的定义 E DuLgg@ 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. #%CbZw@hJ9 ^dB~#A1 光源 I^iJ^Z]vx d52l)8 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。 }."3&u't ?CB*MWjd 7^|oO~x6 图1. 光源和提示信息使用 Vv=/{31 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。 d,}fp) B4^+&B# 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。 vn"2"hPF| ~~[Sz#( 图2. 字母F光源的设定方法光 {HKd="%VG v,Lv4) 图3. 字母F在视网膜上位置点列图 e)dPv:oK3 视网膜的散射 +Hz});ix< ~b+TkPU 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。 IYm~pXg^0 /.<tC( KlMrM% ;y 图4. 视网膜朗伯散射设定 4`F(RweGx 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。 R<VNbm; `}:q@:% Jx;"@ 图5. 视网膜重点采样规格设定 BKDs3?& 脚本 $:M *$r^u -"qw5Y_oF? 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: J+f
.r|? y,&UST 图6. 用户对话框的创建与编辑 y:Xs/RS 图7. 用户对话框编辑器 a.+2h%b 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。 -<kl d+ 余下的脚本计算与屈光度有关的所有参数。
'Eds0"3 " , c1z\ 分析 >$,A [|R =a>a A Z 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 `YTagUq7 f}q4~NPn- 图7. 字母F在视网膜上颜色分析 ^UP!y!&N 脚本代码 pKDP1S#< _E eH Option Explicit 'Remove this to enable non-dimensioned variables to be used. s(56aE 7Iu^l4=2 Dim entity As T_ENTITY OjxaA[$ Dim op As T_OPERATION Qs2E>C Dim mat As T_MODELMATERIAL s(*LV2fa Dim A As Double Rd6? , Dim pupilDiam As Double 1qWIku Dim eID As Long &7* |rshZ Dim parID As Long USz|Rh Dim count As Integer 9"mOjL Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double K#bd b Dim tlens As Double, nlens As Double )%rGD
=2~ Dim curv As Double, conic As Double ,at"Q$)T Dim ok As Long mdxa^#w L><# I Sub Main $qkVu RUcpdeo '用户输入对话框 q{v:T}Q|A Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 zbH Nj(~ TextBox 220,21,40,21,.TextBox1 'default: 0 "Y(stRa Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 :V1ttRW}52 OKButton 40,91,90,21 ^VsX9 CancelButton 190,91,90,21 Jy&O4g/'5 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 q$)$?" TextBox 220,49,40,21,.TextBox2 'default: 4 P" +!mSe^~ End Dialog D<}z7W- Dim dlg As UserDialog *0>![v :;[pl|}tM ok = Dialog (dlg) Ay7I_"% ,ra!O=d~0 If ok=0 Then 'cancel button was pressed ,~^0AtLv Print "Execution cancelled." 4W7 End H/8H`9S$ End If :s8^nEK ; MU8@?yN 'Assign accommodation and pupil diameter & use defaults if field left empty *`~
woF If dlg.TextBox1 = "" Then .!uXhF' A = 0 'Default accommodation eQh@.U*S) Else {)j~5m.,/o A = CDbl(dlg.TextBox1) MD(?Wh End If -#0(Jm' V~j:!=b%v If dlg.TextBox2 = "" Then P{YUW~ pupilDiam = 4 'Default pupil diameter W[trsFP1? Else k
I{)" pupilDiam = CDbl(dlg.TextBox2) N$1ZA)M End If V+#Sb r!H'8O! Print " " Dqss/vwV Print "Accommodation = " & A & " Diopters" y/}[S@4uB Print "Pupil Diameter = " & pupilDiam & " mm" (Fc\*Vn RbPD3&. ' Calculate new parameters with accommodation Ore>j+ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness B|%(0j8 cj
?aCVa Rant = 12.0 - 0.4*A 'Radius of anterior lens &)UZ9r`z CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Dq=&K,5; 8MIn~ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens V_b"^911r CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens a!UQ]prT &PY~m<F tlens = 3.767 + 0.04*A 'Lens thickness ~s.~X5 K9{3,!1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction e/+_tC$@p@ |wF_CZ*1 'Adjust parameters to account for accommodation @.IGOh t8vR9]n '************************************************************************* a7?z{ssEi 'Aqueous thickness (Position of Lens) XO[S(q '************************************************************************* F@m]Imn5Dx eID = FindFullName( "Geometry.Arizona Eye.Lens" ) :H9\nU1
GetCustomElement eID, entity +ucj>g1(# pib i# parID = FindFullName( "Geometry.Arizona Eye" ) ~Mk{2;x zNAID-5K; ' Delete any shift(s) in z =;9
%Q{ count = 0 &BF97%E2 While GetOperationCount(eID)>count
|tK_Bn GetOperation eID, count, op M%(B6};J If op.Type="ShiftZ" Then p~(+4uA DeleteOperation eID,count N.\?"n count=count-1 E}^np[u7 End If >"LHr&;m&h count=count+1 *\#/4_yB} Wend TcW-pY<N qp#Is{=m 'Set new shift in d|I_SI1 op.Type = "ShiftZ" YUGE>"{ op.val1 = taq P{T\zT op.parent = parID y]3`U
UvXD AddOperation eID, op o%EzK;Df Print "Set aqueous humor thickness = " & taq-0.55 &,v-AL$:Q jl-2)< '************************************************************************* AN193o 'Radius and conic constant of anterior lens rcq^mPdQ '************************************************************************* EC9bCd-z eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) v,T:V#f^ GetConic eID, entity, curv, conic QoLp$1O(y *lZ;kW(}p SetConic eID, entity, 1/Rant, CCant .[8!
E_ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant C~e&J&zh e0s* '************************************************************************* H1bHQB 'Radius and conic constant of posterior lens ON(OYXj '************************************************************************* t`M4@1S"' eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) GGM|B}U p GetConic eID, entity, curv, conic <K
g=?wb XAb%V' SetConic eID, entity, 1/Rpost, CCpost ]|JQH Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ;C^!T 9f#~RY|#m '************************************************************************* lF[m*}l 'Lens thickness (Position of posterior lens surface) k kZ2Jxvx '************************************************************************* Sb4^*
$uz XC(:O(jdA2 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) .2Q4EbM2 t]3> X ' Delete any z-shift(s) <wH"{G3? count = 0 hQeGr2gMq While GetOperationCount(eID)>count &nV/XLpG GetOperation eID, count, op 1;*4yJ2 If op.Type="ShiftZ" Then &6feR#~A DeleteOperation eID,count 3# g"Z7/ count=count-1 IZ/PZ"n_( End If `w6*(t:T count=count+1 E,kDy: Wend >^=;b5I2K m&PB5s\= 'Set new z-shift bmOK8 op.Type = "ShiftZ" zAW+!C. op.val1 = tlens C6?({
QB@ op.parent = parID f7lt|.p AddOperation eID, op $+k|\+iJ Print "Set lens thickness = " & tlens QkFB\v 0&~JC>S '************************************************************************* ~xa yGk 'Lens index of refraction 7z2Q!0Sz '************************************************************************* ;tJ}*!z
W eID = FindMaterial( "Lens" ) pqCp>BO?O GetModelMaterial eID, mat sck.2-f" HUFm@? mat.Nd = nlens :[:*kbWN- SetModelMaterial eID, mat tP:ER Print "Set lens index of refraction = " & nlens rNK<p3=7) \N%L-%^ '************************************************************************* [59g] ') 'Pupil diameter D03QisH= '************************************************************************* B:>>D/O eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) zv-9z d[\$a4G+ 'Adjust pupil diameter (trimming volume inner hole) !b"2]Qv pJ3-f k"i SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [t6Y,yo&h4 oO3X>y{gN ' Adjust pupil location to just in front of the lens Ueu~803~ parID = FindFullName( "Geometry.Arizona Eye" ) qOTo p- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) !gm@QO cF count = 0 #AR$'TE# While GetOperationCount(eID)>count +h)1NX;o1 GetOperation eID, count, op Ihd{tmr< If op.Type="ShiftZ" Then Pil_zQ4 DeleteOperation eID,count ?$ Dc> count=count-1 TFNB%| End If 7Y%Si5 count=count+1 z41v5rB4 Wend
/ M@[ 8 op.Type = "ShiftZ" *=}\cw\A op.val1 = taq-0.01 <74r op.parent = parID OJ1MV 7& AddOperation eID, op 6zp]SPY "$n ff=] Print "Set pupil diameter = " & pupilDiam :'4", `J$7X 'Update AZ Eye subassembly Description cX#U_U~d eID = FindFullName( "Geometry.Arizona Eye" ) =3Ohy,5L GetEntity eID, entity o3X0c6uU entity.Description = "Accommodation = " & A & "D" hK UK#xx SetEntity eID, entity 1d!TU=* J)EL<K$Z[ Update 7lx]`u> Print "DONE!" tH(g;flO) gle<{
` End Sub [7\x(W-:@> \iA.{,VX 如果屈光度是4,光瞳直径是4,则会输出如下数据: d
f
j;e%H 3=("vR`! Accommodation = 4 Diopters hs*n?vxp3 Pupil Diameter = 4 mm ,FwJ0V Set aqueous humor thickness = 2.81 L%<DLe^P`l Set anterior lens radius = 10.4 and conic constant = -2.375869 \b}%A&Ij Set posterior lens radius = -4.424557 and conic constant = -3.081019 A[`2Mnj Set lens thickness = 3.927 Ki>XLX,er= Set lens index of refraction = 1.42672 (sSGJS'X Set pupil diameter = 4 !E6QED" DONE! PDS?>Jg( '?$R YU, (文章来源:讯技光电)
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