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简介 ]QT0sGl HB`pK'gz 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。 cfeX(0 ;mi0Q. 模型 U-FA^c; 7Xad2wXn 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。 3^Yk?kFE Rc6
)v Table 1. AZ眼睛模型的定义 f6L_uk`{ 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. RaU.yCYyu 8nnkv,wa 光源 q<yH! iQ9#gPk_9 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。 R\.huOJh Bd
NuhV`0 l(]\[}.5 图1. 光源和提示信息使用 z)VIbEy 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。 3(5RUI- btOTDqG`a 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。 J.<%E[
z gs8L/veP 图2. 字母F光源的设定方法光 %UQ?k:aWp| @6j*XF 图3. 字母F在视网膜上位置点列图 W;N/Y3Lb 视网膜的散射 L|q<Bpz D} .t 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。 /XSPVc< ?J~JQe42 L\Jl'r| 图4. 视网膜朗伯散射设定 @^` <iTK&p 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。 QhGg^h%6 HQ
s)T GcU/ 图5. 视网膜重点采样规格设定 @l(Y6m|v\ 脚本 li%-9Jd "q`%d_ 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: &1h3o^K "qj[[LQ 图6. 用户对话框的创建与编辑 '!.;(Jo 图7. 用户对话框编辑器 } )e`0) 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。 vR)7qX} 余下的脚本计算与屈光度有关的所有参数。 \9}5}X_x. r6$=|Yto 分析 %7d"()L 20moX7L 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
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jBCkx]g 图7. 字母F在视网膜上颜色分析 gPwp
[ 脚本代码 vLS9V/o d_,tXV"z& Option Explicit 'Remove this to enable non-dimensioned variables to be used. DrEtnt O5{XT]: Dim entity As T_ENTITY s =5H.q%PV Dim op As T_OPERATION P\s+2/ Dim mat As T_MODELMATERIAL W<LaR,7 Dim A As Double _Y|kX2l
S@ Dim pupilDiam As Double {@#L'i| Dim eID As Long 84!4Vz^ Dim parID As Long ? g{,MP5 Dim count As Integer vQ/\BN Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^<VE5OM Dim tlens As Double, nlens As Double ziycyf.d Dim curv As Double, conic As Double DXz8C - Dim ok As Long spx;QLo 4sj%: Sub Main X}-H=1T? ~yi&wbTjM '用户输入对话框 |+:ZO5FaO Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2A%T!9J3 TextBox 220,21,40,21,.TextBox1 'default: 0 5 WppV3; Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 kV rT? OKButton 40,91,90,21 GF!{SO4 CancelButton 190,91,90,21 v,+l xY Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 W[>Tq T63 TextBox 220,49,40,21,.TextBox2 'default: 4 7h]R{ _ End Dialog a1`cI5n Dim dlg As UserDialog nh=Us^xD 62x< rph ok = Dialog (dlg) L||yQH7n
|<|,RI? If ok=0 Then 'cancel button was pressed is?&%VY Print "Execution cancelled." R$fIb}PDr End r65NKiQD End If D:ugP, ,:(leWeA9 'Assign accommodation and pupil diameter & use defaults if field left empty Kg`x9._2 If dlg.TextBox1 = "" Then IVzA>Vd A = 0 'Default accommodation %B&?D@ Else +@uC:3jM A = CDbl(dlg.TextBox1) HCIF9{o1j> End If /Z "
4[ GLQvAHC If dlg.TextBox2 = "" Then :J`!'{r pupilDiam = 4 'Default pupil diameter I!7.fuO Else A] ?O&m| pupilDiam = CDbl(dlg.TextBox2) _
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End If z83:a)U 8}oDRN!J Print " " z#J/*712 Print "Accommodation = " & A & " Diopters" f5b`gvCY,# Print "Pupil Diameter = " & pupilDiam & " mm" O4PdN? :5K~/=6x ' Calculate new parameters with accommodation N^yO- xk taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness UVCMB_T A%*DQ1N Rant = 12.0 - 0.4*A 'Radius of anterior lens /^33 e+j CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens <oaBh)=7 e3={$A h Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ls"\YSq$ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens ?*R^?[ :iQ^1S`pH tlens = 3.767 + 0.04*A 'Lens thickness aho<w+l@ l6B ^sc*@ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 9h38`*Im; @
U8}sH^ 'Adjust parameters to account for accommodation e=]oh$] 8cBW] \ v '************************************************************************* _IKP{WNB 'Aqueous thickness (Position of Lens) 9Oo*8wvGG '************************************************************************* ]b~2Dap eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?J@?,rZQ^V GetCustomElement eID, entity 88np/jvC{ -KwL9J4u parID = FindFullName( "Geometry.Arizona Eye" ) 9 /Ai( 8
1KG1i ) ' Delete any shift(s) in z X\^& nLa count = 0 0o=6A<#x While GetOperationCount(eID)>count a,57`Ks+n< GetOperation eID, count, op zUEfa!#? If op.Type="ShiftZ" Then R#7+ DeleteOperation eID,count (LT\
IJSM count=count-1 @Uj_+c
q End If x:n9dm count=count+1 ;[OJ-|Q Wend jRdhLs,M9 A D}}>v 'Set new shift in hKH$AEHEU} op.Type = "ShiftZ" ^0-e,d
9h op.val1 = taq ZLN_,/7 op.parent = parID 4j@kMe;RjZ AddOperation eID, op Dmm r]~ Print "Set aqueous humor thickness = " & taq-0.55 o9T@uWh+ H7tQ# '************************************************************************* @RoRNat 'Radius and conic constant of anterior lens .i3lG(
YG '************************************************************************* <(bCz>o| eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) *t?~)o7 GetConic eID, entity, curv, conic "x.6W! Y( V3PnH SetConic eID, entity, 1/Rant, CCant yYG3/Z3u5 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant zh{@?k uzVG q!'H '************************************************************************* |`k1zc)9 'Radius and conic constant of posterior lens p(H)WD '************************************************************************* $||ns@F+ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) y=oVUsG GetConic eID, entity, curv, conic \=EY@*= 3I;xU(rv SetConic eID, entity, 1/Rpost, CCpost w]W`R. Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 38w.sceaT /Oq)3fU
e '************************************************************************* ^EC)~HP@C 'Lens thickness (Position of posterior lens surface) ;e~{TkD '************************************************************************* }1a <{& E~<(i': parID = FindFullName( "Geometry.Arizona Eye.Lens" ) Y0Hq+7x \tiUEE|k ' Delete any z-shift(s) +3/k/W
count = 0 +gbX}jF0% While GetOperationCount(eID)>count -TK|Y" GetOperation eID, count, op &O+sK4P If op.Type="ShiftZ" Then k W<Yda<a DeleteOperation eID,count .Ca"$2 count=count-1 &J lpA<^s; End If KdOh'OrT9. count=count+1 H}) Dcg3 Wend
}@rg5$W .g/ARwM} 'Set new z-shift \A'|XdQ op.Type = "ShiftZ" (C-,ljY op.val1 = tlens z`emKFbv op.parent = parID 97qtJ(ESI AddOperation eID, op J{Y6fHFi Print "Set lens thickness = " & tlens O8K@&V p Xmap9x '************************************************************************* >\|kJ?h 'Lens index of refraction Kcscz, '************************************************************************* 18DTv6?QG eID = FindMaterial( "Lens" ) ~_DF06G GetModelMaterial eID, mat Af2=qe
_'!aj+{ mat.Nd = nlens rao</jN.9 SetModelMaterial eID, mat I! h(` Print "Set lens index of refraction = " & nlens 7ei>L]gm% -M7K8 '************************************************************************* p{iG{ 'Pupil diameter "rme~w Di '************************************************************************* l^DINZU@ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) =y)p>3p}& +3M$3w{2 'Adjust pupil diameter (trimming volume inner hole) l,*yEkU ! (2-(LgA SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" !1ML%}vvB, SQq6X63 \ ' Adjust pupil location to just in front of the lens $x?NNS_ "J parID = FindFullName( "Geometry.Arizona Eye" ) q*~gWn>T eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
Uby,Tu count = 0 A)\>#Dv While GetOperationCount(eID)>count [8,PO GetOperation eID, count, op H7{Q@D8 If op.Type="ShiftZ" Then |ZS 57c: DeleteOperation eID,count YS]>_ count=count-1 5;X {.2 End If nqZA|-} count=count+1 Hu<p?mF# Wend 7IA3q{P op.Type = "ShiftZ" m! rwG( op.val1 = taq-0.01 /h/6&R0l op.parent = parID Q Oz9\,C AddOperation eID, op 3LKB; ykxbX Print "Set pupil diameter = " & pupilDiam w+q?T K1:a]aU?Iu 'Update AZ Eye subassembly Description VBu8}}Ql eID = FindFullName( "Geometry.Arizona Eye" ) ~}h^38 GetEntity eID, entity fJX\'Rc\ entity.Description = "Accommodation = " & A & "D" y)6,0K {k SetEntity eID, entity ?Q@L-H` 3>i>@n_ Update u FMIY(vB Print "DONE!" *Wzwbwg
JxjP@nr End Sub Iph3%RaE
:bwM]k*$ 如果屈光度是4,光瞳直径是4,则会输出如下数据: ?$3r5sx 6^Ph ' Accommodation = 4 Diopters Y5HfN[u^7 Pupil Diameter = 4 mm (YIhTSL"] Set aqueous humor thickness = 2.81 {] O`gG Set anterior lens radius = 10.4 and conic constant = -2.375869 L{=l#vu Set posterior lens radius = -4.424557 and conic constant = -3.081019 =K:(&6f<t Set lens thickness = 3.927 IeVLn^?+: Set lens index of refraction = 1.42672 J2r1=5HS Set pupil diameter = 4 *9J1$Wa DONE! tG/1pW
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