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简介 %R m`+ < VrHWJo 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。 Zg=jDPt} 6BH
P#B2j 模型 oxZXY]$y LVe[N-K 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 JDP /vNq B0$ge"FK9 Table 1. AZ眼睛模型的定义 D*}_L
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. hF`Qs /7LAd_P6 光源 Y>J u$i hp3
<HUU 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。 Aq;WQyZ2 RH~I/4e .!Q*VTW 图1. 光源和提示信息使用 SL5QhP 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。 J. $U_k Xv2Q8-}w 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 +<rWYF(ii/ \V%l.P4>e 图2. 字母F光源的设定方法光 pKkBAr, H$rNT/C 图3. 字母F在视网膜上位置点列图 ]US 视网膜的散射 JIU8~D s6(bTO. 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。 sh)[|?7z =58:e7(df _"h1#E 图4. 视网膜朗伯散射设定 TrR=3_;.7 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。 ZW%;"5uVm) ,d@FO|G#pt ^8V8,C) 图5. 视网膜重点采样规格设定 2g
HRfTF 脚本 `h='FJ/! cI (} 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: bsv!z\} 71G\b|5 图6. 用户对话框的创建与编辑 0mR^%+~ 图7. 用户对话框编辑器 t~M0_TnXlP 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。 o]TKL'gW 余下的脚本计算与屈光度有关的所有参数。 .f-s+J&ED P2fiK 分析 i;fU],aK! J;GYo|8 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 2Dw}o;1' :=?od
0]W 图7. 字母F在视网膜上颜色分析 ]PQ6 em 脚本代码 d8J(~$tXQN MnTqWC90 Option Explicit 'Remove this to enable non-dimensioned variables to be used. COH9E\ZGF MQMc=Z4d Dim entity As T_ENTITY D]?yGI_ Dim op As T_OPERATION v,Uu)Z
Dim mat As T_MODELMATERIAL D_M73s!U Dim A As Double
*]*0uo Dim pupilDiam As Double Xq%ijo Dim eID As Long pM}n)Q!{3" Dim parID As Long ,m[#<}xXA Dim count As Integer Bmv5yc+; Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double NeR1}W Dim tlens As Double, nlens As Double @y8)
"m" Dim curv As Double, conic As Double ~;vt{pk Dim ok As Long "{x+ \Z\ (05a9 Sub Main l,ic-Y1 L0>7v '用户输入对话框 -cgMf\YF Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 09J,!NN TextBox 220,21,40,21,.TextBox1 'default: 0 qlC4&82=Q Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 g3TqTs OKButton 40,91,90,21 >0S(se$ CancelButton 190,91,90,21 oT i$@q Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 U*\1d TextBox 220,49,40,21,.TextBox2 'default: 4 ]23+ d/ End Dialog YP73 Dim dlg As UserDialog #D^(dz* C}]143a/Q ok = Dialog (dlg) I]Ws
[/U5M>#n If ok=0 Then 'cancel button was pressed 4[rX\?^e Print "Execution cancelled." :'Tq5kE End nZ4@g@e2 End If 4F,RlKHBl 8TCbEPS@Q 'Assign accommodation and pupil diameter & use defaults if field left empty Da
]zbz%% If dlg.TextBox1 = "" Then H8h,JBg5<F A = 0 'Default accommodation >:|jds# Else o,!W,sx_ A = CDbl(dlg.TextBox1) Q1RUmIe_& End If vz^=o' K~A@>~vFb If dlg.TextBox2 = "" Then 3j\Py'}; pupilDiam = 4 'Default pupil diameter &H/3@A3 Else rTzXRMv@o pupilDiam = CDbl(dlg.TextBox2) D
4<,YBvV End If I@ D<rjR ]u47]L# Print " " w_*$wVl Print "Accommodation = " & A & " Diopters" wUH:l Print "Pupil Diameter = " & pupilDiam & " mm" ;-VXp80J 6 -IThC ' Calculate new parameters with accommodation 6c*QBzNL taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /J!~0~F b$Q#Fv&P Rant = 12.0 - 0.4*A 'Radius of anterior lens 9PG3cCr? CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens }i52MI1-XP h%&2M58: Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ?tkd5kE CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 9,$
n6t; -932[+ tlens = 3.767 + 0.04*A 'Lens thickness KP CZiu7 +@MG$*}Oz nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /U=?D(>x 86W.z6 'Adjust parameters to account for accommodation 6A-nhvDP "LM[WcDX '************************************************************************* iz2;xa* 'Aqueous thickness (Position of Lens)
LDdgI '************************************************************************* ;M5]XCPk eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 7o9[cq w GetCustomElement eID, entity wj\kx\+ \iAs parID = FindFullName( "Geometry.Arizona Eye" ) s}?QA cC 0>yuB gh ' Delete any shift(s) in z i .''\ count = 0 CPJ%<+4%b While GetOperationCount(eID)>count _FzAf5DO GetOperation eID, count, op ^F87gow%`B If op.Type="ShiftZ" Then 7w?N-Q$y DeleteOperation eID,count (#rhD} count=count-1 Iy@6cd,)S End If sK7b4gmK count=count+1 JxlZ,FF$@ Wend Ha~}NO )b-KF}]d 'Set new shift in tw&biLM5T op.Type = "ShiftZ" ?;DzWCL~9 op.val1 = taq ZQ[ s/ op.parent = parID J"Nn.iVq AddOperation eID, op {$'oKJy* Print "Set aqueous humor thickness = " & taq-0.55 %
{A%SDh d>Ky(wS '************************************************************************* trlZ 'Radius and conic constant of anterior lens 2Jqr"|sw '************************************************************************* 9C:V i eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ~/;shs<9EM GetConic eID, entity, curv, conic PF:'dv Z>hGqFZ0{ SetConic eID, entity, 1/Rant, CCant
cfL:#IM Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W@61rT}c -o YJ&r '************************************************************************* Ns.{$'ll 'Radius and conic constant of posterior lens wcW}Sv[r '************************************************************************* \+)AQ!E eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %[fZ@!B GetConic eID, entity, curv, conic 9KMtPBZ ._(5; PB" SetConic eID, entity, 1/Rpost, CCpost :CG;:( | Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost 9C| -|mo i"#zb&~nF '************************************************************************* #<yKG \X? 'Lens thickness (Position of posterior lens surface) '|nAGkA '************************************************************************* zI'c 'X1, c6LPqPcN parID = FindFullName( "Geometry.Arizona Eye.Lens" ) %RXFgm!{f PB!*&T'! ' Delete any z-shift(s) 5/i]Jni count = 0 j\2q2_f While GetOperationCount(eID)>count }c'T]h\S GetOperation eID, count, op /0 86qB| If op.Type="ShiftZ" Then 9 tIE+RD DeleteOperation eID,count n@9R|biO count=count-1 YH{FTVOt{C End If cT#R B7 count=count+1 8v\^,'@ Wend 47^7S= XvkFP'%i/ 'Set new z-shift "@rXN"4 op.Type = "ShiftZ" }N@+bNh~ op.val1 = tlens E 7"`D\* op.parent = parID ^Dys#^ AddOperation eID, op 7z3YzQ=Kg Print "Set lens thickness = " & tlens Ui}%T] y-)5d '************************************************************************* -{eI6#z|\A 'Lens index of refraction _+.
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'************************************************************************* J;Veza eID = FindMaterial( "Lens" ) Fd >epvR GetModelMaterial eID, mat U46Z~B iTJE:[W"y mat.Nd = nlens YI),yj SetModelMaterial eID, mat AHn
Yfxv_ Print "Set lens index of refraction = " & nlens N6!$V7oT !k8j8v& '************************************************************************* bw OG|\ 'Pupil diameter VHx:3G '************************************************************************* Og(|bs!6 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 1IWP~G $ cYKVhf 'Adjust pupil diameter (trimming volume inner hole) ?Z"<&tsZ <xr\1VjA SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" /xkF9 $WG< ' Adjust pupil location to just in front of the lens ^MUvd parID = FindFullName( "Geometry.Arizona Eye" ) ;g_<i_*x# eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *hkNJ count = 0 GqD_6cdh While GetOperationCount(eID)>count Io7o*::6iw GetOperation eID, count, op +XL|bdK If op.Type="ShiftZ" Then F'^?s= QX DeleteOperation eID,count 48n 7<M;I count=count-1 JI|MR#_u End If YF<U'EVU- count=count+1 YCo qe,5 Wend =J^FV_1rJ op.Type = "ShiftZ" L] !M1\ op.val1 = taq-0.01 0Y9fK? ( op.parent = parID I'%ASZ AddOperation eID, op \Culf'iX Q ;$NDYV1 Print "Set pupil diameter = " & pupilDiam )H-y &``nYI g/ 'Update AZ Eye subassembly Description ?m dGMf) eID = FindFullName( "Geometry.Arizona Eye" ) @Jr@
fF} GetEntity eID, entity f"0?_cG{% entity.Description = "Accommodation = " & A & "D" 3Jw}MFFV SetEntity eID, entity c_FnJ_+ +f v?`DP Update *&~wl(+O= Print "DONE!" '+E\-X
03a<Cd/S End Sub BHJS.o*j~ */A ~lR| 如果屈光度是4,光瞳直径是4,则会输出如下数据: z;6,, d @>1m:p Accommodation = 4 Diopters U$ 22 r b Pupil Diameter = 4 mm !r`/vQ# Set aqueous humor thickness = 2.81 v}BXH4 &Y Set anterior lens radius = 10.4 and conic constant = -2.375869 C
vWt Set posterior lens radius = -4.424557 and conic constant = -3.081019 s)j3+@:# Set lens thickness = 3.927 [.c'22R6 Set lens index of refraction = 1.42672 T {zz3@2? Set pupil diameter = 4 J|:Zs1.<d DONE! < <]uniZ\
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