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简介 ^IIy> V(DY!f_% 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。 &g^*ep~|# ArNQ}F/ 模型 #+AQ:+ y*-_ 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。 L*A-&9.p3 Z
f\~Cl Table 1. AZ眼睛模型的定义 *`Vm ncv3 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. /9I/^i~ \i%mokfbc 光源 {A:uy X|eZpIA45 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。 uXh:/KO a6e{bAuq Xw!\,"{s 图1. 光源和提示信息使用 GjHR.p?- 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。 gC/ e]7FNr
G7al@ 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。 tZKw(<am ~qGW94 图2. 字母F光源的设定方法光 eJHh } FC,=g`Q! 图3. 字母F在视网膜上位置点列图 ^9q#,6 视网膜的散射 :\His{% sAL
]N][Y 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。 W_Y8)KxG:L 0x!&> *$NZi*z3 图4. 视网膜朗伯散射设定 3+>n!8x ;A 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 uy3<2L#. p,$N-22a \?^2}K/ 图5. 视网膜重点采样规格设定 tMiIlf!>p 脚本 K=v:qY4Z !!^z6jpvn 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: =ZIT!B?4 AT~, 图6. 用户对话框的创建与编辑 &o;0%QgF 图7. 用户对话框编辑器 j"69uj` R 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。 \BXzmok 余下的脚本计算与屈光度有关的所有参数。 CG=c@-"n/ ls]N&!/hq 分析 3$k#bC 'YNdrvz 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 +ZOiL[rS Jd>~gA}l 图7. 字母F在视网膜上颜色分析 w#9KtW,tt 脚本代码 x^f)I|t <GNLDpj Option Explicit 'Remove this to enable non-dimensioned variables to be used. =79R;|5 \7/yWd{N$ Dim entity As T_ENTITY fq6%@M~ Dim op As T_OPERATION
[fa4 Dim mat As T_MODELMATERIAL Vi8A4 Dim A As Double YNU}R/u6^ Dim pupilDiam As Double "S%t\ Dim eID As Long FI$:R Dim parID As Long ;Y`Y1 Dim count As Integer tUJRNEg Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double |HAJDhM,l Dim tlens As Double, nlens As Double e /JQ #A Dim curv As Double, conic As Double ;[sW\Ou Dim ok As Long /8h=6" ump~)?_B Sub Main lrT2*$ w3 Nujnm$!,Q '用户输入对话框 3`HK^((o Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 yJm"vN TextBox 220,21,40,21,.TextBox1 'default: 0 \beO5]KS< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 \WCQ>c?~ OKButton 40,91,90,21 0Z9DewwP CancelButton 190,91,90,21 RwWg:4 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 8-#%l~dr TextBox 220,49,40,21,.TextBox2 'default: 4 d,"LZ>hNY* End Dialog l]R0r{{ Dim dlg As UserDialog zN4OrG0 Zh<;r;2 ok = Dialog (dlg) :o'XE|N 6Dq4Q|C If ok=0 Then 'cancel button was pressed \2i7\U Print "Execution cancelled." Z',!LK! End 0CrsZt X End If wSTulo: 9 @p+;iS1} 'Assign accommodation and pupil diameter & use defaults if field left empty ~7P)$[ If dlg.TextBox1 = "" Then ?['!0PF A = 0 'Default accommodation Tu#< {'1$ Else ):D"LC A = CDbl(dlg.TextBox1) =Ph8&l7~sp End If Sjpx G@k *U?O4E9 If dlg.TextBox2 = "" Then -Aj)<KNx[ pupilDiam = 4 'Default pupil diameter V2YK T,5 Else 200yN+ ec pupilDiam = CDbl(dlg.TextBox2) "ZuuSi End If *v>ZE6CL sHP-@ Print " " q+
$6D;9 Print "Accommodation = " & A & " Diopters" 3$$E0`7. Print "Pupil Diameter = " & pupilDiam & " mm" 1o_kY"D< `FP?9R6Y ' Calculate new parameters with accommodation 1 DWoL}Z taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness CLb6XnkcA\ '|C3t!H` Rant = 12.0 - 0.4*A 'Radius of anterior lens kI{DxuTad CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens yPm2??5MW> ^QB[;g.O Rpost = -5.224557 + 0.2*A 'Radius of posterior lens C6_(j48& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens vJkc/7 7|P
kc(O tlens = 3.767 + 0.04*A 'Lens thickness Y::0v@&( Ykbg5Z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ^URCnJ67Se %`vzQt`> 'Adjust parameters to account for accommodation kIrrbD g*|j+<:7 '************************************************************************* [m
t.2 . 'Aqueous thickness (Position of Lens) s[1ao"sZ^ '************************************************************************* @=Kq99=\U eID = FindFullName( "Geometry.Arizona Eye.Lens" ) '=\}dav! GetCustomElement eID, entity `&$8/_` qtGJJ#^, parID = FindFullName( "Geometry.Arizona Eye" ) ;SR ESW y}Ky<%A!P ' Delete any shift(s) in z <#63tN9 count = 0 EP;/[O While GetOperationCount(eID)>count XZ
rI w GetOperation eID, count, op L"L3n,%F If op.Type="ShiftZ" Then c}x1-d8 DeleteOperation eID,count G7-BeA8 count=count-1 z`y9<+ End If CUA @CZ6{ count=count+1 +Q*`kg' Wend 15$xa_w}L
T)C@6/ 'Set new shift in .p`4>XA op.Type = "ShiftZ" %B3~t> op.val1 = taq R;& >PFmq op.parent = parID H#-3 AddOperation eID, op KWwtL"3 Print "Set aqueous humor thickness = " & taq-0.55 Hh<H~s [ r );R/)& '************************************************************************* d1/emwH 'Radius and conic constant of anterior lens 6 Z/`p~e '************************************************************************* ]`E+HLEQ' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Nz{dnV{&x; GetConic eID, entity, curv, conic <G"cgN#] 4DXbeQs: SetConic eID, entity, 1/Rant, CCant FoefBo?g65 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant bIKg>U'5d K,f:X g!: '************************************************************************* fSh5u/F! 'Radius and conic constant of posterior lens JFq
wC=- '************************************************************************* `h}eP[jA eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?@V R%z GetConic eID, entity, curv, conic $o6/dEKQ V la,avON SetConic eID, entity, 1/Rpost, CCpost E' 5*w6 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost vNv?trw
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+7 '************************************************************************* Ku;fZN[g 'Lens thickness (Position of posterior lens surface) l=^A41L_ '************************************************************************* WxdQ^#AE wak 26W>I3 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) f*ZU a Pms@!yce ' Delete any z-shift(s) ]{-.?W*$ count = 0 4Nm >5*] While GetOperationCount(eID)>count ?0b-fL^^+l GetOperation eID, count, op z,HhSW?&^ If op.Type="ShiftZ" Then L
aTcBcI DeleteOperation eID,count c0Ug5Vr count=count-1 owVvbC2<b( End If \j)Evjw count=count+1 J )1 Wend :,BAw , D6SUzI1+H 'Set new z-shift CB7dr&> op.Type = "ShiftZ" 3WV(Ok op.val1 = tlens |%_C$s% op.parent = parID {N(qS'N AddOperation eID, op \BOoY# !a Print "Set lens thickness = " & tlens n
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;w{<1NH2+. '************************************************************************* I?KN7(9u? 'Lens index of refraction %lKw+D '************************************************************************* GR,2^]<{ eID = FindMaterial( "Lens" ) -15e GetModelMaterial eID, mat \u=d`}E {sTf4S\S mat.Nd = nlens ,CE/o7.FG SetModelMaterial eID, mat =4ygbk Print "Set lens index of refraction = " & nlens :cpj{v;s J,a&"eOZ '************************************************************************* <y 4(!z" 'Pupil diameter WR+j?Fcf '************************************************************************* u09Tlqh0 3 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6#w>6g4V~R
gqaM<!] 'Adjust pupil diameter (trimming volume inner hole) >OG189O 0JR/V68$ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" $C16}^ !E7gIqo ' Adjust pupil location to just in front of the lens w,~*ead parID = FindFullName( "Geometry.Arizona Eye" ) ,f03TBD} eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) o'Bd. B count = 0 W 4{ T< While GetOperationCount(eID)>count ci,(]T+! GetOperation eID, count, op h yrPu_
If op.Type="ShiftZ" Then +in)(a. DeleteOperation eID,count $e^"Inhtqp count=count-1 NP>v@jO End If O[X*F2LC4 count=count+1 z$ ^d_) Wend ZbRRDXk! op.Type = "ShiftZ" F`}'^> op.val1 = taq-0.01 yoE-a
op.parent = parID DJ ru|2 AddOperation eID, op 8lQ/cGAc LpHGt]|D Print "Set pupil diameter = " & pupilDiam XY0kd&N8 N=mvr&arP 'Update AZ Eye subassembly Description pEB3qGA eID = FindFullName( "Geometry.Arizona Eye" ) *h^->+0n GetEntity eID, entity &oL"AJU entity.Description = "Accommodation = " & A & "D" y"?`MzcJ0 SetEntity eID, entity G<Z}G8FW^ Nr4Fp`b8 Update @Z]0c=-+ Print "DONE!" ]0i[= :?f<tNU$ End Sub Rtf<UhUn q/U-WQ<+ 如果屈光度是4,光瞳直径是4,则会输出如下数据: hB?#b`i^ '!>9j,BJ Accommodation = 4 Diopters +o+f\! Pupil Diameter = 4 mm He_O+[sc Set aqueous humor thickness = 2.81 ]t[%.^5# Set anterior lens radius = 10.4 and conic constant = -2.375869 mQj# \<* Set posterior lens radius = -4.424557 and conic constant = -3.081019 #v
c+;`X Set lens thickness = 3.927 8~ y!X0Ov! Set lens index of refraction = 1.42672 R ENCk( Set pupil diameter = 4 cT(nKHL DONE! zU5@~J
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