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简介 \D(6t!Ox B
Jp\a7`; 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。 hD!W&Er =vLeOX 模型 k L2(M6m laN:H mR8 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。 ;rWgt!l 4VINu9\V Table 1. AZ眼睛模型的定义 mw%do&e 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. {aP5Mem IBWUXG; 光源 z/u;afB9q cmF&1o3_ 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。 $A\fm` ]kA0C~4 YG , 图1. 光源和提示信息使用 :iJ+ImBpK 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。 @s RRcP~ K5gh7 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。 @ SaU2 ?#"rI6 图2. 字母F光源的设定方法光 VAf"B5R :4s{?IY)l 图3. 字母F在视网膜上位置点列图 {pMbkAQ@ 视网膜的散射 f.acH]p )8vz4e 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。 ~ *RG|4# Y`jvza% 0A\OZ^P8 图4. 视网膜朗伯散射设定 NfizX!w& 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。 FWI<_KZO M72. X@KF}x's 图5. 视网膜重点采样规格设定 8P5yaS_ 脚本 oLK-~[p WrH7tz 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: `%}SK~<R d 2sY.L 图6. 用户对话框的创建与编辑 9}4P%>_ 图7. 用户对话框编辑器 mne4u W 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。 S0().2# 余下的脚本计算与屈光度有关的所有参数。 U_ n1QU y<(q<V#0!S 分析 |Qo`K%8 Ik2yIf5d 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 qYFOHu
6lw)L 图7. 字母F在视网膜上颜色分析 Vm}OrFA 脚本代码 rOd<nP^`\ ?145^ w Option Explicit 'Remove this to enable non-dimensioned variables to be used. 5v6 x (os}s8cIh Dim entity As T_ENTITY Bfe#, Dim op As T_OPERATION ~t7?5b?*\ Dim mat As T_MODELMATERIAL Hx[YHu
KL^ Dim A As Double t}L kl( Dim pupilDiam As Double Qgx9JJ> Dim eID As Long .vsrZ_y? Dim parID As Long ZXV_Dc Dim count As Integer 2F9Gx;}t5= Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double -|;{/ s5 Dim tlens As Double, nlens As Double r
>bMx~a] Dim curv As Double, conic As Double aphfzo Dim ok As Long Kn-cwz5 -7E)u Sub Main gDbj!(tm T-e'r '用户输入对话框 6;s.%W Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 50r3Kl0 TextBox 220,21,40,21,.TextBox1 'default: 0 u^.7zL+ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Qj;wklq OKButton 40,91,90,21 Fy:CG6@X CancelButton 190,91,90,21 @@~OA>^ Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 N$>.V7H& TextBox 220,49,40,21,.TextBox2 'default: 4 >g7}JI& End Dialog r}351S5( Dim dlg As UserDialog >h:rYEsh8V @qj4rt" ok = Dialog (dlg) '}#=I 9=ss J>_|hg= If ok=0 Then 'cancel button was pressed 7<FI[ Print "Execution cancelled." sa 8JN.B End $ 9bIUJ End If 2ZTz{|y ?VCdT`6= 'Assign accommodation and pupil diameter & use defaults if field left empty c;siMWw; If dlg.TextBox1 = "" Then @bs
YJ4-V A = 0 'Default accommodation t~vOm Else XC44]o4jx A = CDbl(dlg.TextBox1) |2RoDW End If f</'=k =iJfz If dlg.TextBox2 = "" Then }%e"A4v pupilDiam = 4 'Default pupil diameter a)L\+$@* Else WcRTv"4& pupilDiam = CDbl(dlg.TextBox2) >]b>gc?3 End If O3ij/8f z
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Print " " w:[1,rRvT Print "Accommodation = " & A & " Diopters" B%y?+4;zA Print "Pupil Diameter = " & pupilDiam & " mm" W5 l)mAv MU_8bK9m ' Calculate new parameters with accommodation 2ed4xhV taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 5e)2Jt: T}fH Rant = 12.0 - 0.4*A 'Radius of anterior lens WFHS8SI CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens /hrVnki* \iN3/J4 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens ad
<z+a CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 2=R}u-@6p ,orq*Wd tlens = 3.767 + 0.04*A 'Lens thickness ^7b[spqE 5&Y%N( nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction h>0R!Rl8 qH1k 'Adjust parameters to account for accommodation Evjvaa^ Tt^PiaS! '************************************************************************* Z"ce1cB 'Aqueous thickness (Position of Lens) }G{ 'Rb '************************************************************************* <V`1?9c7D1 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) gteG*p i GetCustomElement eID, entity %P3|#0yg0 4k$i:st; parID = FindFullName( "Geometry.Arizona Eye" ) whH_<@! /-C`*P=:u ' Delete any shift(s) in z .~3s~y*s count = 0 yM_ta '^$ While GetOperationCount(eID)>count %R|_o<(#MJ GetOperation eID, count, op v@xbur\L If op.Type="ShiftZ" Then _1>Xk_ DeleteOperation eID,count v8{ jEAK count=count-1 So6ZNh9 End If ~ShoU
m[ count=count+1 d17RJW%A Wend O {hM rnOg;|u8 'Set new shift in SRP.Mqg9 op.Type = "ShiftZ" DfPC@`
k op.val1 = taq Xa,d"R~ op.parent = parID 4z;@1nN_8a AddOperation eID, op ,0pCc< Print "Set aqueous humor thickness = " & taq-0.55 /
5\gP//9K bUcEQGHcZ= '************************************************************************* Z91{*? 'Radius and conic constant of anterior lens `/e
EdqT '************************************************************************* sY-
]
Q eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >$/<~j] GetConic eID, entity, curv, conic 5YV3pFz$) AhyV SetConic eID, entity, 1/Rant, CCant "e-RV
Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant `d,v *ku}.n '************************************************************************* eb` ! 'Radius and conic constant of posterior lens nO\c4#ce '************************************************************************* <<SUIY@X eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $~;h}I GetConic eID, entity, curv, conic NMy+=GZu^ Xn%ty@8 SetConic eID, entity, 1/Rpost, CCpost ELvP<Ny} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost qH=<8Iu Y3 V9 '************************************************************************* |T;]%<O3E 'Lens thickness (Position of posterior lens surface) m)1+D"z '************************************************************************* prdc}~J8{ @CB&*VoB parID = FindFullName( "Geometry.Arizona Eye.Lens" ) F
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D ' Delete any z-shift(s) W'xJh0o count = 0 `w(~[`F t While GetOperationCount(eID)>count wCitQ0? GetOperation eID, count, op c e\|eN[ If op.Type="ShiftZ" Then 6Trtulm DeleteOperation eID,count fxOa(mt count=count-1 E9bc pup End If AZ7m=Q97 count=count+1 J$>9UCk7B Wend r7zS4;b >qL-a*w:a 'Set new z-shift q}+Fm?B op.Type = "ShiftZ" V4CL%i op.val1 = tlens MXP3ZN' op.parent = parID EpCT !e AddOperation eID, op DkA@KS1Dq Print "Set lens thickness = " & tlens xm*6I GF/!@N '************************************************************************* - %'ys 'Lens index of refraction Hs#q 7 '************************************************************************* (/[wM>q:r eID = FindMaterial( "Lens" ) +?%LX4Y GetModelMaterial eID, mat cYx.<b
JH V"u .u mat.Nd = nlens .QLjaEja SetModelMaterial eID, mat 5faY{;8 Print "Set lens index of refraction = " & nlens aWk1D. O?OG`{k '************************************************************************* "/g\?Nce 'Pupil diameter \\(3gB.Gd '************************************************************************* x@Ze%$' eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) *Z}9S9YtN [9H986= 'Adjust pupil diameter (trimming volume inner hole) nl/~7({ 7H$wpn
Zln SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" mhi^zHpa lBZhg~{ ' Adjust pupil location to just in front of the lens :YUQKy parID = FindFullName( "Geometry.Arizona Eye" ) gCP f1z eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) LQ{z}Ay count = 0 /DxeG'O While GetOperationCount(eID)>count "eH.<& GetOperation eID, count, op )2&y;{] If op.Type="ShiftZ" Then P^-daRb
DeleteOperation eID,count ,1ceNF#oL count=count-1 +2 x|j> End If V6a+VfH count=count+1 ;0JK>c
]# Wend D:.1Be`Tv op.Type = "ShiftZ" AD@-H0Y op.val1 = taq-0.01 *Hed^[sO op.parent = parID \Pt_5.bTs[ AddOperation eID, op VI(2/** RA
ER\9i Print "Set pupil diameter = " & pupilDiam p;P
cD ykBq?Vr 'Update AZ Eye subassembly Description lr~c w#h* eID = FindFullName( "Geometry.Arizona Eye" ) ATkx_1]KM- GetEntity eID, entity qGhwbg entity.Description = "Accommodation = " & A & "D" ?L(y8b}F( SetEntity eID, entity 17) `CM$<[ a[hQ<@1O Update 3x3 =ke! Print "DONE!" ~0T,_N bU{lV<R, End Sub 2E_d$nsJ -esq]c%3 如果屈光度是4,光瞳直径是4,则会输出如下数据: " ,>,t_J MgrJ ;?L Accommodation = 4 Diopters GI[XcK^*w Pupil Diameter = 4 mm +I[Hxf ~ Set aqueous humor thickness = 2.81 >>R,P
Ow- Set anterior lens radius = 10.4 and conic constant = -2.375869 CMviR<. Set posterior lens radius = -4.424557 and conic constant = -3.081019 y%@C-: Set lens thickness = 3.927 k35E,?T Set lens index of refraction = 1.42672 OqlP_^Zz7p Set pupil diameter = 4 V}po DONE! ;Vlt4,s) y#?AW`|
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