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简介 $U"/.Mh\ Og"50 - 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 y|iZuHS} %|oY8;0|A> 模型 #C4 VLu_SXlo* 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 M)Tv(7 Lg_y1Mu7o Table 1. AZ眼睛模型的定义 7Dom[f 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. Rm)vY}v aztP`S$h 光源 m->
chOu~| ;^O^&< 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。 x-CYG?-x <`*6;j.& -:cS}I 图1. 光源和提示信息使用 / D#vs9S 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。 _N9yC\ oQWS$\Rr. 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。 fZxZ):7i !z58,hv 图2. 字母F光源的设定方法光 %v
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ZY\t 图3. 字母F在视网膜上位置点列图 "`C|;\w 视网膜的散射 (fm\kV l
yO_rZT 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。 $vlgiJ&f dq"b_pr; Qf7]t-Kp 图4. 视网膜朗伯散射设定 f(?>z!n0 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。 dSk\J[D .'5yFBS \TC&/'7} 图5. 视网膜重点采样规格设定 qJ#?=ITE 脚本 L.l%EcW=, #e+%;5\ 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: ~=Er=
0 u)R>ozER 图6. 用户对话框的创建与编辑 @\u)k 图7. 用户对话框编辑器 ' OdZ[AN 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。 Y?ZTl762 余下的脚本计算与屈光度有关的所有参数。 roj/GZAy" `k^
i#Nc> 分析 ;=*b:y Y ;7tOFsV 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 #}:VZ2Z .y+>-[j?B 图7. 字母F在视网膜上颜色分析 1K09iB 脚本代码 1fViW^l_ JWlH(-U4| Option Explicit 'Remove this to enable non-dimensioned variables to be used. >`'#4!}G5j iDp]lu Dim entity As T_ENTITY pb_mW;JVu Dim op As T_OPERATION ruB&&C6)v Dim mat As T_MODELMATERIAL aE1h0`OT Dim A As Double &"Ua"H) Dim pupilDiam As Double Drk9F"J Dim eID As Long ZJ=-cE2n Dim parID As Long SO]x^+[ Dim count As Integer b;9v.MZ4>g Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 1g2%f9G Dim tlens As Double, nlens As Double ;T-i+_ Dim curv As Double, conic As Double .<rL2`C[c Dim ok As Long im*QaO%a4 i ,4 Sub Main }Jh!B| jEit^5^5| '用户输入对话框 q,QMvUK: Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 :==kC672 TextBox 220,21,40,21,.TextBox1 'default: 0 B/i,QBPF] Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ]rZ"5y OKButton 40,91,90,21 D@>P%k$$s> CancelButton 190,91,90,21 Xb)XV$0 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W_O,Kao TextBox 220,49,40,21,.TextBox2 'default: 4 |X~T</{8i End Dialog \P&'4y~PL Dim dlg As UserDialog #++MoW}'g b0m1O.&I_ ok = Dialog (dlg) x>&1;g2r tG^Oj: If ok=0 Then 'cancel button was pressed EOVHTDkKf Print "Execution cancelled." $T1
D
?X End 7:mM`0g! End If 04WKAP'c
N PX\}lTJ 'Assign accommodation and pupil diameter & use defaults if field left empty E88_15'3D If dlg.TextBox1 = "" Then qGl+KI A = 0 'Default accommodation <IK8Ucp Else 8
E.u3eS A = CDbl(dlg.TextBox1) O`OntYwa> End If +3]@0VM26; i\}, If dlg.TextBox2 = "" Then +]`MdOu pupilDiam = 4 'Default pupil diameter k{y@&QNj Else + 5sTGNG pupilDiam = CDbl(dlg.TextBox2) Z&JW}''n|F End If Zhz.8W Zo-s_6uC Print " " YUM%3 Print "Accommodation = " & A & " Diopters" r}D`15IHJ Print "Pupil Diameter = " & pupilDiam & " mm" ]c[80F- S"5</* ' Calculate new parameters with accommodation KB*[b taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness G80d!*7 9 oc.`-e\? Rant = 12.0 - 0.4*A 'Radius of anterior lens uH65DI< CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ,)S|%tDW DH)@8)C Rpost = -5.224557 + 0.2*A 'Radius of posterior lens oKA8)~Xqou CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens $LF zpg :E@"4O?<Y) tlens = 3.767 + 0.04*A 'Lens thickness kTc'k bYgrKz@uK nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction p&:RSO J--9VlC' 'Adjust parameters to account for accommodation l')?w]| Le|Ho^h,Y '************************************************************************* `)1_^# k 'Aqueous thickness (Position of Lens) H5^'J`0\ '************************************************************************* Co[ rhs eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Tx`;y| GetCustomElement eID, entity /NMd GKr }yx'U 3 parID = FindFullName( "Geometry.Arizona Eye" ) PZeVjL?E o-GlBXI; ' Delete any shift(s) in z ;}=v|Dr&I. count = 0 5~aSkg,MD While GetOperationCount(eID)>count `|
L+a~~ GetOperation eID, count, op % ]r@vjeyd If op.Type="ShiftZ" Then :&&Ps4\Sq DeleteOperation eID,count wrac\. count=count-1 iW.8+?Xq& End If 0rsdDME[ count=count+1 na(@`(j[ Wend B~jl1g| k8 ,.~HkU 'Set new shift in m~(]\ op.Type = "ShiftZ" &N[~+" op.val1 = taq _dmgNbs op.parent = parID "_}Hzpy5k AddOperation eID, op tm#T8iF Print "Set aqueous humor thickness = " & taq-0.55 ]wER&/v" Do=*bZ;A '************************************************************************* [ -{L@ 'Radius and conic constant of anterior lens mI@E>VCV[ '************************************************************************* kbM 4v G eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) #gUM%$ GetConic eID, entity, curv, conic 7K
{/2k C.}Z5BwS SetConic eID, entity, 1/Rant, CCant `~(KbH=] Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant l`[*b_
Xt a% Q.8 '************************************************************************* 5m=3{lBi 'Radius and conic constant of posterior lens UyEyk$6SU '************************************************************************* n;xtUw6\ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Uj(,6K8W GetConic eID, entity, curv, conic vp[~%~1( df&d+jY SetConic eID, entity, 1/Rpost, CCpost IgG@v9' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost )o
SFHf [JO'ta '************************************************************************* .px*.e s 'Lens thickness (Position of posterior lens surface) 4u"V52 '************************************************************************* y4C_G? oz(<e parID = FindFullName( "Geometry.Arizona Eye.Lens" ) wHx1CXC p*-o33Ve ' Delete any z-shift(s) '<^%>R2 count = 0 #hH "g While GetOperationCount(eID)>count kbI:}b7H GetOperation eID, count, op 0>)('Kv If op.Type="ShiftZ" Then )67Kd] DeleteOperation eID,count J&@[=zBYw count=count-1 gX{V>T(< End If di
"rvw;R count=count+1 )^|zuYzN Wend dp&4G6Y<A Io|NL6[ 'Set new z-shift sc@v\J;k op.Type = "ShiftZ" 53=VIN] op.val1 = tlens V#ZF0a] op.parent = parID INyreoMp AddOperation eID, op $83TA><a Print "Set lens thickness = " & tlens ullq}} TlYeYN5V '************************************************************************* 51*o&:eim 'Lens index of refraction >dUnk)7 '************************************************************************* r\F`xtR( eID = FindMaterial( "Lens" ) N*|Mfpf GetModelMaterial eID, mat %F3M\)jU A%Pjg1(uX mat.Nd = nlens l-Xxur5M' SetModelMaterial eID, mat 17a'C Print "Set lens index of refraction = " & nlens 8*V3g_z $-|`#|CBd '************************************************************************* Zoh2m`6 'Pupil diameter t9Ht
54 '************************************************************************* J)6RXt*! eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) +`r;3kH .. 'ZgrN14 'Adjust pupil diameter (trimming volume inner hole) 7i`@`0
ac6L3=u\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" &y[Od{= u%Bk"noCa ' Adjust pupil location to just in front of the lens ~gNa<tg"1 parID = FindFullName( "Geometry.Arizona Eye" ) HpiP"Sl eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ? DWF7{1 count = 0 c_s=>z While GetOperationCount(eID)>count 7H:1c=U GetOperation eID, count, op u}W R1u[ If op.Type="ShiftZ" Then vj]-p= DeleteOperation eID,count uLD%M av count=count-1 qt=gz6! End If fil'._ count=count+1 wN-3@ Wend V:4]]z L} op.Type = "ShiftZ" p~Fc*g[! op.val1 = taq-0.01 c:.k2u op.parent = parID EJ;:O1,6H AddOperation eID, op +/'3=!oyd f
wWI2"} Print "Set pupil diameter = " & pupilDiam Wf^6: ~e~iCyW;S 'Update AZ Eye subassembly Description .S>:-j'u eID = FindFullName( "Geometry.Arizona Eye" ) c| GetEntity eID, entity 5 6;lB$)" entity.Description = "Accommodation = " & A & "D" cs `T7?> SetEntity eID, entity '#mv- /<t* R*3x{DNL Update d[;S n:B Print "DONE!" h[b;_>7 &x
=}m End Sub &k*sxW' %e.tAl"!$ 如果屈光度是4,光瞳直径是4,则会输出如下数据: 8@^=k.5IK Oz<{B]pEul Accommodation = 4 Diopters P!q!+g Pupil Diameter = 4 mm 2fM*6CaS Set aqueous humor thickness = 2.81 'gHa3:US Set anterior lens radius = 10.4 and conic constant = -2.375869 4loG$l+a1 Set posterior lens radius = -4.424557 and conic constant = -3.081019
3=@94i Set lens thickness = 3.927 59A@~;.F Set lens index of refraction = 1.42672 ^"WrE(3 Set pupil diameter = 4 G[z!;Zuf DONE! 1|_jV7`Mz
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