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简介 (TEo_BW|+ M`0(!Q} 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。 N@Xg5huO ";PG%_( 模型 8To7c :O9P(X* 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。 >vlQ|/C |x &Z~y Table 1. AZ眼睛模型的定义 2X|CuL{] 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. }FPM-M3y 8#+`9GI 光源 2BHKS-J* N0=-7wMk(Z 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。 \s=QiPK f5@.^hi[ p{NPcT%& 图1. 光源和提示信息使用 zzX<?6MS 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。 KHvIN}V5?3 /@&(P#h 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。 xN6?yr R=`U 4Ml; 图2. 字母F光源的设定方法光 3PfiQ|/b VR"u* 图3. 字母F在视网膜上位置点列图 x.I][(} 视网膜的散射 aSRjFL^ ~6p5H}'H1 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。 GGCqtA^@7d Ay2b,q Ll,I-BQ9 图4. 视网膜朗伯散射设定 T`uDlo 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。 {3_Gjb5\\4 S#,+Z7 [!W5}=^H 图5. 视网膜重点采样规格设定 M9gOoYf,~ 脚本 'r~8 w{3ycR 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: d>UnJ)V} O{~KR/ 图6. 用户对话框的创建与编辑 pg+b[7 图7. 用户对话框编辑器 sTiYf 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。 W/sY#" 余下的脚本计算与屈光度有关的所有参数。 ^[#=L4 Ddb-@YD&+0 分析 /w0sj`;" +vf:z?I8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [~COYjp }7%9}2}Iw 图7. 字母F在视网膜上颜色分析 C ck#Y 脚本代码
m;c3Z- Hoj8okP Option Explicit 'Remove this to enable non-dimensioned variables to be used. " rsSW3_ xpAok] Dim entity As T_ENTITY 0 <g{ V Dim op As T_OPERATION gSb,s [p&+ Dim mat As T_MODELMATERIAL .@@an;C Dim A As Double sdrWOq Dim pupilDiam As Double sZKEUSFD # Dim eID As Long JRXRi*@ Dim parID As Long u\f3qc,]F Dim count As Integer %yfE7UPS] Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double J smB^ Dim tlens As Double, nlens As Double T<P0T< Dim curv As Double, conic As Double k=`$6(>Fz Dim ok As Long q(gjT^aN z|I0-1tAK Sub Main 33 :@* r_^)1w '用户输入对话框 W2hA-1 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 w//omF'` TextBox 220,21,40,21,.TextBox1 'default: 0 t{zBC?cR Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 h/HHKn OKButton 40,91,90,21 Kk=LXmL2 CancelButton 190,91,90,21 QXs8:;T Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 KzNm^^#/$A TextBox 220,49,40,21,.TextBox2 'default: 4 _lX8K:C( End Dialog l[oe*aYN7 Dim dlg As UserDialog ^^U%cu Kg b!^@PIX ok = Dialog (dlg) >g]ON9CGH >La><.z~ If ok=0 Then 'cancel button was pressed &<Zdyf?[Ou Print "Execution cancelled." aBxiK[[` End %m`zWg- End If $Asr`Q1i
WI&lj<* 'Assign accommodation and pupil diameter & use defaults if field left empty rEM#D]k If dlg.TextBox1 = "" Then '#q4Bc1 A = 0 'Default accommodation 1'Rmg\( Else 2)9r'ai?a A = CDbl(dlg.TextBox1) FshC )[w, End If <( EyXV ;|HL+je;Z If dlg.TextBox2 = "" Then lL0M^Nv pupilDiam = 4 'Default pupil diameter U*\17YU6h Else ~x#vZ=]8 pupilDiam = CDbl(dlg.TextBox2) OhFW*v End If y3JMbl[S0 64umul Print " " A[)C:q, Print "Accommodation = " & A & " Diopters" 4x=(Zw_X Print "Pupil Diameter = " & pupilDiam & " mm"
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9 ' Calculate new parameters with accommodation G\kpUdj} taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness `*_CElpP" <#*.}w~ Rant = 12.0 - 0.4*A 'Radius of anterior lens 2w?hgNz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ?aWx(dVQ hqDqt"dKz Rpost = -5.224557 + 0.2*A 'Radius of posterior lens '3Q3lM'lh CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 8:dQ._#v fd 1C{^c tlens = 3.767 + 0.04*A 'Lens thickness e.8$ga{ i\Wdo/c-H nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction UQPU"F7. Ej"u1F14J 'Adjust parameters to account for accommodation x-;`-Uo% !MV@)
(. '************************************************************************* Fe!9y2Mg 'Aqueous thickness (Position of Lens) qINTCm j '************************************************************************* NBOCt)C;H eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 8@eOTzm GetCustomElement eID, entity L;/n!k.A Ll}yJ#3, parID = FindFullName( "Geometry.Arizona Eye" ) ,H[SI0]; Bp_wnd ' Delete any shift(s) in z Z
a(|(M H count = 0 ahGT4d`)9 While GetOperationCount(eID)>count ,;jGJr GetOperation eID, count, op {/ 2E*|W~I If op.Type="ShiftZ" Then /X#z*GX DeleteOperation eID,count N$#\Xdo count=count-1 Dl,`\b@Fw3 End If N+g@8Q2s;5 count=count+1 [po "To Wend fY W|p<Q0 ."6[:MF 'Set new shift in 5o0Ch op.Type = "ShiftZ" ]?K.
S6 op.val1 = taq ar^i|`D op.parent = parID ,={t8lN AddOperation eID, op X.V[0$.; Print "Set aqueous humor thickness = " & taq-0.55 cUk*C a9Y5 '************************************************************************* .F2:!h$ 'Radius and conic constant of anterior lens caq} &A]C '************************************************************************* `JURQ:l)3^ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 46No%cSiG GetConic eID, entity, curv, conic 5?u}#zO 'EhBRU% SetConic eID, entity, 1/Rant, CCant bF-"tm Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant jndGiMA {hdPhL '************************************************************************* +%0z`E\?M# 'Radius and conic constant of posterior lens ]?LB?:6 '************************************************************************* r'4:)~]s eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) K$[$4 dX] GetConic eID, entity, curv, conic WAPhv-6 4N>>+]MWc SetConic eID, entity, 1/Rpost, CCpost F-
rQ3 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost {/8Q)2*>0 QP(BZJC '************************************************************************* 9A$m$ 'Lens thickness (Position of posterior lens surface) k%81f'H '************************************************************************* QlZ@ To u{e-G&]^; parID = FindFullName( "Geometry.Arizona Eye.Lens" ) /X*oS&-M G|
m4m. ' Delete any z-shift(s) k$i'v:c|:i count = 0 l=m(mf?QBg While GetOperationCount(eID)>count MuI2?:~:*4 GetOperation eID, count, op RHY4P4B<v> If op.Type="ShiftZ" Then xge7r3i DeleteOperation eID,count SNpi=K!yn count=count-1
8Ogv9 End If sRhKlUJG count=count+1 H=^K@Ti: Wend qUJ
aeQ q_fam,9 'Set new z-shift +[-i%b3q op.Type = "ShiftZ" XNH4vG
| op.val1 = tlens obH;g* op.parent = parID Yl^mAS[w& AddOperation eID, op Xrqx\X Print "Set lens thickness = " & tlens =H`Q~Xx [.,>wo~ '************************************************************************* $lwz-^1t. 'Lens index of refraction ~Ci{3j :] '************************************************************************* g=8un`]7 eID = FindMaterial( "Lens" ) DBH#)4do@ GetModelMaterial eID, mat n6Z|Q@F {S.>BXX mat.Nd = nlens R^&q-M=O[ SetModelMaterial eID, mat e@<?zS6 Print "Set lens index of refraction = " & nlens 7(a2L&k^ (P|pRVO '************************************************************************* ;{Ux_JEg 'Pupil diameter t*S."
q '************************************************************************* M[]A2'fS eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) chI.{Rj J$ut_N):N 'Adjust pupil diameter (trimming volume inner hole) \,G#<>S evuZY X@ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" @mQ:7-,~ OjE`1h\ ' Adjust pupil location to just in front of the lens sy5 Fn~\R parID = FindFullName( "Geometry.Arizona Eye" ) 2\<.0 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) :D:DnVZ-[@ count = 0 -0uV z) While GetOperationCount(eID)>count y'C-[nk GetOperation eID, count, op |UUdz_i!: If op.Type="ShiftZ" Then oYM3Rgxf9Q DeleteOperation eID,count 4"?^UBr count=count-1 W7No ls{ End If L V{Q,DrP count=count+1 vIGw6BJI Wend 'fd1Pj9~$ op.Type = "ShiftZ" ts~{w;c op.val1 = taq-0.01 F\JUx L@8 op.parent = parID oMH.u^b]fT AddOperation eID, op 7 A$B{ Qx3eLfm Print "Set pupil diameter = " & pupilDiam 5z$,6T V4w=/e_ 'Update AZ Eye subassembly Description n$L51#' eID = FindFullName( "Geometry.Arizona Eye" ) E+95WF|4k" GetEntity eID, entity uzr\oj+> entity.Description = "Accommodation = " & A & "D" ?9+@+q SetEntity eID, entity I27,mS+] 'I}:!Z Update ]3{0J Print "DONE!" <cN~jv-w$ i^`9syD End Sub A#wEuX=[ sYSLmUZ{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 7E$&2U^Js 7L5P%zLtB Accommodation = 4 Diopters wucV_p.E Pupil Diameter = 4 mm <=K qcHb Set aqueous humor thickness = 2.81 Y$>-%KcKeI Set anterior lens radius = 10.4 and conic constant = -2.375869 BHDML.r }M Set posterior lens radius = -4.424557 and conic constant = -3.081019 nSx8E7 |V Set lens thickness = 3.927 dtStTT Set lens index of refraction = 1.42672 Ut@RGg+f8 Set pupil diameter = 4 (?)7)5H DONE! | s+0~$O;
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