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简介 DPU%4te 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。 1kiS."77x U_ -9rkUa 模型 0X`sQNx f`8]4ms" 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。 9^;)~ G 7 +RsZu Table 1. AZ眼睛模型的定义 y5td o'Ex 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. vS! TnmF B{#*PAK= 光源 '^TQ Ubw ZQZBap" 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。 }`O_ \m>mE/N ^!={=No] 图1. 光源和提示信息使用 DrG9Kky{ 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。 qoNVp7uv Fp)+>oT 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。 ileqI/40f :'L^zGf 图2. 字母F光源的设定方法光 ?B)jnBh| O4Wn+$AN 图3. 字母F在视网膜上位置点列图 (8[et m 视网膜的散射 1;; is CXb-{|I}d 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 =F(fum;zH >i`V-" x Mr5E\~K>s 图4. 视网膜朗伯散射设定 D{Zjo)&tF' 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 =~)J:x\F ,rvw E Dr;-2$Kt/& 图5. 视网膜重点采样规格设定 l!U_7)s/ 脚本 $VWeo#b SJYy,F],V" 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: o\_@4hXf X*Ibk-PUM 图6. 用户对话框的创建与编辑 So?ScX\lG 图7. 用户对话框编辑器 ])d_B\)Kck 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。 aoLYw 9 余下的脚本计算与屈光度有关的所有参数。 Jj<UtD+ k`LoRqF 分析 EcBJ-j6d C~16Jj:v 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 t0[H_ &P+7Um( 图7. 字母F在视网膜上颜色分析 eR'Df"+ 脚本代码 6x1!!X+)+ y^7ol;t Option Explicit 'Remove this to enable non-dimensioned variables to be used. -`z`K08sT -P;_j,~U Dim entity As T_ENTITY
:Hk:Goo2 Dim op As T_OPERATION =j%B`cJ66_ Dim mat As T_MODELMATERIAL '$5.{o`s*1 Dim A As Double TM|M#hMS Dim pupilDiam As Double 0JQ0lzk1 Dim eID As Long VDCG
5QP6( Dim parID As Long %SV5PO@ Dim count As Integer &<!DNXQ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 2OXcP!\Y Dim tlens As Double, nlens As Double ZI'MfkEZ* Dim curv As Double, conic As Double RUJkfi=$ Dim ok As Long Dc,h(2 gW{<:6}!* Sub Main 5r=xhOe` XIM!] '用户输入对话框 G_GPnKdd Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2$>"4
N TextBox 220,21,40,21,.TextBox1 'default: 0 ]0`*gKA Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 _j$"fg OKButton 40,91,90,21 g7($lt> CancelButton 190,91,90,21 AlW0GK=N-p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W6.
)7Y, TextBox 220,49,40,21,.TextBox2 'default: 4 K[tQ>C@s2 End Dialog sFqLxSo_I Dim dlg As UserDialog <qG4[W,[ Vej [wY-c ok = Dialog (dlg) "O{_LOJ wVSM\ If ok=0 Then 'cancel button was pressed ?2hS<qXX Print "Execution cancelled." axJuJ`+Y End fj2pD Cic End If {Y>5 [gp a;=)` 'Assign accommodation and pupil diameter & use defaults if field left empty "N"$B~W* If dlg.TextBox1 = "" Then "m*.kB)e7 A = 0 'Default accommodation {!?
@u?M Else @Q!Jzw#B A = CDbl(dlg.TextBox1) XCCh*qym End If K?;_T$^K mAycfa If dlg.TextBox2 = "" Then g"k1O pupilDiam = 4 'Default pupil diameter Vu
@2
Else _a;E> pupilDiam = CDbl(dlg.TextBox2) 5a$Q}!6E.Y End If K gN=b 'r&az BO Print " " \!!qzrq Print "Accommodation = " & A & " Diopters" XJx$HM&0M Print "Pupil Diameter = " & pupilDiam & " mm" .YV{w L@cB xvP=i/SO ' Calculate new parameters with accommodation !Zowe*` taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness m:kXr^!D ~d0:>8zQR Rant = 12.0 - 0.4*A 'Radius of anterior lens !+sC'/ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens G`n|fuv / z<7gd~oU Rpost = -5.224557 + 0.2*A 'Radius of posterior lens nkI+"$Rz0 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 2nNBX2o&_ B,Pbm|U1 tlens = 3.767 + 0.04*A 'Lens thickness 9Fo00"q ,g69 ?w nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction a`c#-
je H1?t2\V4 'Adjust parameters to account for accommodation #@ClhpLD CSKOtqKQ) '************************************************************************* 8Zj=:; 'Aqueous thickness (Position of Lens) zD#$]?@ b '************************************************************************* 9+:SS1_ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) eAU0 8gM. GetCustomElement eID, entity bQU{)W `ChS$p"A parID = FindFullName( "Geometry.Arizona Eye" ) `IP?w&k) OyI?P_0u ' Delete any shift(s) in z xwuGJ count = 0 CbvP1*1 While GetOperationCount(eID)>count L/ L#[ GetOperation eID, count, op /{)}y If op.Type="ShiftZ" Then !,Ou:E?Bb DeleteOperation eID,count @nC][gNv count=count-1 Cz1Q@<) End If :B^YK]. count=count+1 mu#IF'|b Wend z3n273W>6 ZmLA4< 'Set new shift in :Dt]sE_d op.Type = "ShiftZ" /9SEW!E op.val1 = taq |IcA8[ op.parent = parID lEZODc+%Y AddOperation eID, op Zz,j,w0 Z Print "Set aqueous humor thickness = " & taq-0.55 u%t/W0xi (Q]Ww_r~ '************************************************************************* dd+hX$, 'Radius and conic constant of anterior lens lfJvN '************************************************************************* aru;yR eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) -dto46X GetConic eID, entity, curv, conic xK*G'3Ge MG}rvzn@ SetConic eID, entity, 1/Rant, CCant e/7rr~"| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant {6I)6}w!k `4SwdW n '************************************************************************* R|@?6< 'Radius and conic constant of posterior lens +g9CklJ '************************************************************************* \CU-a`n eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) JT,[; GetConic eID, entity, curv, conic qjm6\ii:) \ u*R6z SetConic eID, entity, 1/Rpost, CCpost MJ\^i4 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost gAudL)X A"3"f8P8a '************************************************************************* ^ g'P
H{68 'Lens thickness (Position of posterior lens surface) YigDrW '************************************************************************* QmKEl|/{u XLgp.w; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 9#>t% IF~
tLE7s_^ ' Delete any z-shift(s) c]/X
>8; count = 0 ?wi^R:2|j While GetOperationCount(eID)>count 5y~Srb?2 GetOperation eID, count, op &cpqn2Z
If op.Type="ShiftZ" Then @$7'{* DeleteOperation eID,count !'z"V_x~ count=count-1 V;LV),R? End If j5:/Gl8 count=count+1 9Ro7xSeD Wend \Dx;AK s Z[G[.\0 'Set new z-shift A4tb>OM op.Type = "ShiftZ" D[
v2#2 op.val1 = tlens Yq-Vwh/ op.parent = parID B9:
i.rQ AddOperation eID, op 0{'m":D9 Print "Set lens thickness = " & tlens 4T>d%Tt+) Vr7L9%/wg '************************************************************************* &5y|Q? 'Lens index of refraction D~zk2 '************************************************************************* +zg3/C4 S eID = FindMaterial( "Lens" ) 0: Nw8J GetModelMaterial eID, mat gSk0#Jt Kgw,]E&7 mat.Nd = nlens %BwvA_T'Q SetModelMaterial eID, mat AsfmH-4) Print "Set lens index of refraction = " & nlens _[pbfua o_sb+Vn| '************************************************************************* B%I<6E[D 'Pupil diameter B'-n
^'; '************************************************************************* SUb:0GUa eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) S[e> 8 -4v2] 'Adjust pupil diameter (trimming volume inner hole) q\G7T{t$. ?&JKq^9\I SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" X?$"dqA Gm[XnUR7V ' Adjust pupil location to just in front of the lens BC)1FxsGf parID = FindFullName( "Geometry.Arizona Eye" ) IP!`;?T= eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]64pb;w"$D count = 0 Xd@ d$ While GetOperationCount(eID)>count l@ 5kw]6 GetOperation eID, count, op ckkm}|&m If op.Type="ShiftZ" Then ,R}9n@JI^Y DeleteOperation eID,count 6J<R;g23R] count=count-1 gn:&akg End If UE-1p count=count+1 KjK-#F,@ Wend 3~\,VO'' op.Type = "ShiftZ" 5i-VnG
op.val1 = taq-0.01 (H;,E- op.parent = parID bl-D{)X AddOperation eID, op v(]dIH {ceY:49 Print "Set pupil diameter = " & pupilDiam Tq,dlDDOR moCR64n 'Update AZ Eye subassembly Description -VvN1G6.x? eID = FindFullName( "Geometry.Arizona Eye" ) =C-
b#4Q GetEntity eID, entity fuT Bh6w& entity.Description = "Accommodation = " & A & "D" m#^;V SetEntity eID, entity bh+m_$X~ 0|| 5r# Update [ZL<Q Print "DONE!" A3.*d:A <q`|,mc End Sub c#Qlr{ES S])*LUi 如果屈光度是4,光瞳直径是4,则会输出如下数据: M9.FtQhK/ <m> m"|G Accommodation = 4 Diopters A}[x))r Pupil Diameter = 4 mm $U"pdf Set aqueous humor thickness = 2.81 8M,$|\U Set anterior lens radius = 10.4 and conic constant = -2.375869 L0qL\>#ejr Set posterior lens radius = -4.424557 and conic constant = -3.081019 -Np}<O`./ Set lens thickness = 3.927
= Atyy Set lens index of refraction = 1.42672 eMtQa;Lc9o Set pupil diameter = 4 x$z>.4 DONE! _adW>-wQ!d |Es,$ (文章来源:讯技光电)
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