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简介 l!}7GWj 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。 :~,V+2e pJQ_G`E 模型 krXU*64 GGGz7_s
? 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。 "
_TAo 2o0WS~}5 Table 1. AZ眼睛模型的定义 c>#3{}X|x% 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. S&'-wAEd )fc+B_ 光源 IXR%IggJA z*N%kcw" 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。 asYUb&Hz88 XBTjb Z&GjG6t 图1. 光源和提示信息使用 1]7v3m 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。 b.xG' s>ZlW:jY 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。 k,r}X:<6jz 2:6lr4{uY 图2. 字母F光源的设定方法光 l_T5KV
NF_[q(k' 图3. 字母F在视网膜上位置点列图 sTi3x)#xB 视网膜的散射 +?0r%R%\ er>@- F7w 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。 u9ue>I/ gyv @_}Y3 K- TLzoYA 图4. 视网膜朗伯散射设定 f5#VU7=1F2 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。 4?aNJyV%& snny!
0E\m XJ?zP=UK 图5. 视网膜重点采样规格设定 s&-dLkis{u 脚本 .wcKG9u *Di ;Gf@ 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: ,)t/1oQ}>^ G 2FD'Sf 图6. 用户对话框的创建与编辑 gCW
{$d1= 图7. 用户对话框编辑器 U~<~>^[ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 bHmn0fZ9 余下的脚本计算与屈光度有关的所有参数。 OJ)XJL x)e(g}n 分析 /#e-x|L !l1jQq_mK 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 OH vV_ h%U,g
9_ 图7. 字母F在视网膜上颜色分析 NMhI0Ix$w 脚本代码 ":01M},RA uSNlI78D Option Explicit 'Remove this to enable non-dimensioned variables to be used. DbH'Qs?z Hr=?_Un" Dim entity As T_ENTITY I<$m% Dim op As T_OPERATION Ny 7vId Dim mat As T_MODELMATERIAL ||rZ+<
Dim A As Double G8OnNI Dim pupilDiam As Double p~Mw^SN' Dim eID As Long cu"ge]}, Dim parID As Long 6Vy4]jdT5 Dim count As Integer Ly`FU) Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ^ V8?6E Dim tlens As Double, nlens As Double 5`1p
? Dim curv As Double, conic As Double a |0f B4G Dim ok As Long EdS7m,d Z`{GjV3%wH Sub Main Rj/ y.g Hc-Ke1+ '用户输入对话框 Cg%}= Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 2M?L++i TextBox 220,21,40,21,.TextBox1 'default: 0 _SQ0`=+ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 LKu
,H OKButton 40,91,90,21 fBct%M 3 CancelButton 190,91,90,21 p|'Rm]&jb Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 9I*`~il>{ TextBox 220,49,40,21,.TextBox2 'default: 4 D?
FWSv End Dialog "o$)z'q Dim dlg As UserDialog '8UhYwyr bODyJ7=[ ok = Dialog (dlg) ~DUOL~E 2p8}6y:}7 If ok=0 Then 'cancel button was pressed l =^ ^l` Print "Execution cancelled." <~35tOpv End %jj\w> End If jI,?*n< +&8'@v$ 'Assign accommodation and pupil diameter & use defaults if field left empty 7N[Cs$_] If dlg.TextBox1 = "" Then
@d6N[?3; A = 0 'Default accommodation ;F\sMf{ Else TDHS/"MbA7 A = CDbl(dlg.TextBox1) !9. `zW"40 End If [35>T3Ku >Ms_bfSK If dlg.TextBox2 = "" Then #%SF2PB; pupilDiam = 4 'Default pupil diameter x.aqy'/` Else 5tm:|.`SQ pupilDiam = CDbl(dlg.TextBox2) -owap-Va End If dZ'H'm;,! IyGW>g6_. Print " " Rln@9muXA Print "Accommodation = " & A & " Diopters" :V:siIDn Print "Pupil Diameter = " & pupilDiam & " mm" @!2vS@f a
#Pr)H ' Calculate new parameters with accommodation &cB+la\_ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Ihg1%.^V\ wVtBH_> Rant = 12.0 - 0.4*A 'Radius of anterior lens l08JL CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ~MLBO cg'z:_l Rpost = -5.224557 + 0.2*A 'Radius of posterior lens Tlz~o[`& CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens pJ H@v
&a 1c}LX.9 K tlens = 3.767 + 0.04*A 'Lens thickness
tz`T#9 ;@G5s+<l nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction }tUr
V #EX NS r 'Adjust parameters to account for accommodation k2ZMDU ,kw:g&A '************************************************************************* @w@ `-1 'Aqueous thickness (Position of Lens) s!\Gi5b '************************************************************************* Cw]bhaG
g eID = FindFullName( "Geometry.Arizona Eye.Lens" ) u13v@<HGc GetCustomElement eID, entity T,fDH!a "BD$-] parID = FindFullName( "Geometry.Arizona Eye" ) $'
>|r] IltU6=]"l ' Delete any shift(s) in z [p&2k&.XYe count = 0 k{w While GetOperationCount(eID)>count ]:F?k#c GetOperation eID, count, op :ej`]yK | If op.Type="ShiftZ" Then *4RL DeleteOperation eID,count ^fxS=Qs+ count=count-1 <+)B8I^ End If B5H=# count=count+1 H"J>wIuGX Wend 'v'=t<wgl E _j=v
\ 'Set new shift in !DNk!]| op.Type = "ShiftZ" LCkaSv/[RB op.val1 = taq 7F
1nBd op.parent = parID P~ 7p~ke AddOperation eID, op QsH?qI&2jp Print "Set aqueous humor thickness = " & taq-0.55 5R/k8UZ |t&gyj '************************************************************************* NJ$c0CNy 'Radius and conic constant of anterior lens 2kVQ#JyuRI '************************************************************************* bx=9XZ9g eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) v.Zr,Z=eV GetConic eID, entity, curv, conic TC^fyxq f,QBj{M, SetConic eID, entity, 1/Rant, CCant j<C p&}X Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant !S5_+.U# Swnom?t '************************************************************************* 7)37AK w 'Radius and conic constant of posterior lens ZRLS3*` '************************************************************************* O t1:z:Pl eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x|q|> dPB GetConic eID, entity, curv, conic wl:[Ad Nr:%yvk%s SetConic eID, entity, 1/Rpost, CCpost Jyo(Etp Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost G>w+J'7 TwLQ;Q '************************************************************************* tA]Y=U+Q 'Lens thickness (Position of posterior lens surface) `CF.-Vl3J# '************************************************************************* ?N(opggiD W+ D{4: parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ?_+8K`B '(!U5j ' Delete any z-shift(s) C!s !j count = 0 N4[^!}4 While GetOperationCount(eID)>count eL{6;.C GetOperation eID, count, op y?.l9
If op.Type="ShiftZ" Then T@x_}a:g DeleteOperation eID,count Rg6/6/ IN count=count-1 )G=hgqy End If ~Op~~
m count=count+1 (YKkJ Wend r0/o{Y|l6 Yi+$g 'Set new z-shift c},wW@SF2W op.Type = "ShiftZ" yy#4DYht op.val1 = tlens +je{%,* op.parent = parID JPGEE1!B{b AddOperation eID, op *#g[
jl4 Print "Set lens thickness = " & tlens _8'z"wF FvT;8ik:3 '************************************************************************* &JHqUVs^ 'Lens index of refraction 5;_&C=[ '************************************************************************* HlC[Nu^6U eID = FindMaterial( "Lens" ) (4oO8aBB GetModelMaterial eID, mat VSW"/{Lp Ze- MB0w mat.Nd = nlens q"|#KT^) SetModelMaterial eID, mat .}x:yKyi@ Print "Set lens index of refraction = " & nlens YMD&U
uPQrDr5 '************************************************************************* kb2M3%6V 'Pupil diameter =%ZR0cWPoI '************************************************************************* [[gfR'79{ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) SvN2}]Kh WpPI6bd 'Adjust pupil diameter (trimming volume inner hole) ! j-JMa? \>nY%* SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" g&`[r6B IBSoAL ' Adjust pupil location to just in front of the lens yOr5kWqX parID = FindFullName( "Geometry.Arizona Eye" ) 0FG|s#Ig eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) mH)th7 count = 0 KmE<+/x~? While GetOperationCount(eID)>count =VOl
* GetOperation eID, count, op sad[(| If op.Type="ShiftZ" Then 4oywP^I DeleteOperation eID,count ZKco count=count-1 VH2/ End If CyEEE2cV count=count+1 )!jX$bK Wend !:|[?M.` op.Type = "ShiftZ" $G@^!( op.val1 = taq-0.01 7R5!(g
op.parent = parID #23m_w^L AddOperation eID, op f+W8Gszi tj;<EaM Print "Set pupil diameter = " & pupilDiam QLum=YB (D
<o=Q 'Update AZ Eye subassembly Description ]/y69ou eID = FindFullName( "Geometry.Arizona Eye" ) \r7gubD GetEntity eID, entity JB xizJBP entity.Description = "Accommodation = " & A & "D" ug.'OR SetEntity eID, entity 4,P!D3SH \B1<fF2 Update 7<p?E7 Print "DONE!" 2<GN+Wv[# K}1eQS&$a End Sub &nX,)" RRBBz7:~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: T_1p1Sg 4[^lE?+ Accommodation = 4 Diopters ;)gNe:Q Pupil Diameter = 4 mm ?~#{3b Set aqueous humor thickness = 2.81 Zk#?.z} Set anterior lens radius = 10.4 and conic constant = -2.375869 h&$,mbEoI Set posterior lens radius = -4.424557 and conic constant = -3.081019 `p{,C`g,R Set lens thickness = 3.927 >h<bYk "9Q Set lens index of refraction = 1.42672 ps=+wg?] Set pupil diameter = 4 cA]Ch>]A% DONE! _mSQ>BBRl x.-d>8-!]c (文章来源:讯技光电)
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