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简介 D[~}uZ4\ u(hC^T1 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。 =|0/Ynfe 5Y-2
# 模型 lzfDH=& G(\Ckf: 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。 %fpsc_ F=i!d,S Table 1. AZ眼睛模型的定义 7) 0q--B 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. &@; RI~ 1+^n!$ 光源 AbZ:(+@cP C*G/_`?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。 : bv|Ah Nza; O[ FpdHnu i1 图1. 光源和提示信息使用 k7T
alR 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。 O+FBQiv vYzVY\ 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。 1S*P"8N}0h +*a7GttU 图2. 字母F光源的设定方法光 /q*KO\L IMaYEO[ 图3. 字母F在视网膜上位置点列图 BD'NuI 视网膜的散射 .e$%[)D mJ$Htyr 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。 @dV9Dpu V6+Zh>'S \HG$V>2 图4. 视网膜朗伯散射设定 " $=qGHA~ 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 !a[$)c 6Ahr_{ ,s? dAy5 图5. 视网膜重点采样规格设定 +2y&B,L_Wh 脚本 GZ"/k<~0 NL-_#N$ 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: 8^T2^gs gvo?([j-m 图6. 用户对话框的创建与编辑 ai^t=
s 图7. 用户对话框编辑器 Bb_Q_<DTs 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。 4d-q!lR pa 余下的脚本计算与屈光度有关的所有参数。 fz8h]PZ %^!aB 分析 `Sx.|`x8 M8_ R 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 zn^ v!:[ 0BDoBR 图7. 字母F在视网膜上颜色分析 *|poxT G 脚本代码 N(BiOLZL6 9m~t
j_ Option Explicit 'Remove this to enable non-dimensioned variables to be used. #%WCL'6B g? I!OG Dim entity As T_ENTITY +,wWhhvlzv Dim op As T_OPERATION U/5$%0) Dim mat As T_MODELMATERIAL f?5A"-NS Dim A As Double e&ts\0 Dim pupilDiam As Double 7vq
DZg Dim eID As Long (GNEYf| Dim parID As Long _<2RYXBC Dim count As Integer vG3M5G Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double feN!_- Dim tlens As Double, nlens As Double Iy.mVtcsZ Dim curv As Double, conic As Double Y2D>tpqNw Dim ok As Long !U[:5@s06 &L'6KEahR Sub Main !"%S#nrL$ )r pD2H '用户输入对话框 ?cJA^W Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 kw#X]`c3 TextBox 220,21,40,21,.TextBox1 'default: 0 [x|)}P7%s Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ]f5c\\) OKButton 40,91,90,21 U\?+s2I)v CancelButton 190,91,90,21 UI_v3c3b Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 4`6< { TextBox 220,49,40,21,.TextBox2 'default: 4 :i}@Br+R7L End Dialog `xGT_0&ck Dim dlg As UserDialog py.!%vIOQ c`pYc ok = Dialog (dlg) hWm0$v1p tStJ2-5*t If ok=0 Then 'cancel button was pressed /wlFD,+8 Print "Execution cancelled." d96fjj~ End ]h0Y8kpd End If D>S8$]^Dm G-ZhGbAI7 'Assign accommodation and pupil diameter & use defaults if field left empty A`g.[7 If dlg.TextBox1 = "" Then _V&x`ks A = 0 'Default accommodation r\B"?oqC Else /0-\ek ye A = CDbl(dlg.TextBox1) 8,H~4Ce3 End If zNwc(( "5y<G:$+~ If dlg.TextBox2 = "" Then sN=KR qe pupilDiam = 4 'Default pupil diameter EFeAr@nj Else N?zV*ngBS pupilDiam = CDbl(dlg.TextBox2) &D^e<j}RQ End If /RMer
Xj \Me"'.F? Print " " j+ I*Xw Print "Accommodation = " & A & " Diopters" y=wdR|b Print "Pupil Diameter = " & pupilDiam & " mm" ss*5.(y Y1|^>C#a ' Calculate new parameters with accommodation vWuyft* taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness JLml#Pu4 Ls(&HOK[p Rant = 12.0 - 0.4*A 'Radius of anterior lens pRb<wt7v CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 8cB=}XgYS UYH|?Jw!N Rpost = -5.224557 + 0.2*A 'Radius of posterior lens L-j/R1fTvl CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *Q0lC1GQ 9Il'E6
J tlens = 3.767 + 0.04*A 'Lens thickness ,Io0ZE>`V b#e]1Q nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction !eV^Ah>PZ V@Ax}<$A 'Adjust parameters to account for accommodation $vz_%Y N-Qu/,~+ '************************************************************************* FXcc1X/ 'Aqueous thickness (Position of Lens) dWMccn;-m '************************************************************************* *u58l(&`8 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =Z^un&' GetCustomElement eID, entity y)0gJP
L^ .x]'eq} parID = FindFullName( "Geometry.Arizona Eye" ) .iN-4"_j1 87R%ke ' Delete any shift(s) in z dP?nP(l count = 0 L(W%~UGN
V While GetOperationCount(eID)>count B$@1QG GetOperation eID, count, op \MF3CK@/ If op.Type="ShiftZ" Then !'+\]eA DeleteOperation eID,count D\@e{.$MZ| count=count-1 w 7Cne%J8 End If dvC0 <*V count=count+1 H^ESAs6 Wend 7?+5%7- 5aa}FdUq 'Set new shift in
b$PT_!d op.Type = "ShiftZ" /5&3WG&<u op.val1 = taq O 0Vn";Q 4 op.parent = parID 7ZL,p:f AddOperation eID, op 4
`j,&= Print "Set aqueous humor thickness = " & taq-0.55 fLLnf].O MX"A@p~H '************************************************************************* F">Nrj-bs 'Radius and conic constant of anterior lens tq2-.]Y@U '************************************************************************* B?$S~5
} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) &19lk GetConic eID, entity, curv, conic JHnk%h0 <)r,CiS SetConic eID, entity, 1/Rant, CCant Z|V"8jE Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant 4x=V|" XYz,NpK '************************************************************************* xgZV0!% 'Radius and conic constant of posterior lens er&uC4Y]a '************************************************************************* Y{+zg9L* eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) =>gyc;{2K< GetConic eID, entity, curv, conic !%SdTaC{T yg]suU<z] SetConic eID, entity, 1/Rpost, CCpost Oz"@yL} Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost W@R$'r,@O rD:gN%B= '************************************************************************* x.j Yip 'Lens thickness (Position of posterior lens surface) ls8olLM> '************************************************************************* _C7abw- $)kk8Q4+K parID = FindFullName( "Geometry.Arizona Eye.Lens" ) IKNFYe[9e }CB=c]p ' Delete any z-shift(s) o=mq$Z:} count = 0 fvAh?<Ul While GetOperationCount(eID)>count G%V=idU*" GetOperation eID, count, op DDqC}l_ If op.Type="ShiftZ" Then eO|^Lu]+ DeleteOperation eID,count '6Pu[^x count=count-1 :F!dTD$ End If @m !9"QhC count=count+1 'sT}DX(7M Wend >S?C {_g D=5t=4^H( 'Set new z-shift #+2:d?t op.Type = "ShiftZ" rf1wS*uU+ op.val1 = tlens CSd9\V op.parent = parID C,sD?PcSi+ AddOperation eID, op qv
;1$ Print "Set lens thickness = " & tlens lx A<iQia oo$WD6eCR '************************************************************************* ?~]1Gd 'Lens index of refraction a<a&63 '************************************************************************* r{Qs9 eID = FindMaterial( "Lens" ) =F^->e0N GetModelMaterial eID, mat ~PU1vbv9T $ ufSNx(F mat.Nd = nlens YW4bm SetModelMaterial eID, mat Q G=-LXv:@ Print "Set lens index of refraction = " & nlens e4>L@7 Pq[0vZ_}dN '************************************************************************* Se;?j- 'Pupil diameter WwCK K '************************************************************************* 110>p eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ulz\x2[Pf s)o,Fi 'Adjust pupil diameter (trimming volume inner hole) V1CSXY\2 _!$Up SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" T}b(
M*E Xn
ZX *Y]" ' Adjust pupil location to just in front of the lens }v'PY/d. parID = FindFullName( "Geometry.Arizona Eye" ) Eezlx9b eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]P}K3tN%] count = 0 ,
$D&WH While GetOperationCount(eID)>count :#Ex3H7 GetOperation eID, count, op Yt O@n@1 If op.Type="ShiftZ" Then +s*l#'Q DeleteOperation eID,count _($-dJ{ count=count-1 ]U^d 1&k End If E
|GK3 / count=count+1 b*6c.o Wend Q'Q72Fg op.Type = "ShiftZ" 3wa<,^kqy op.val1 = taq-0.01 C9z~)aL}7 op.parent = parID *k@0:a(> AddOperation eID, op -UD~>s M|Lw`?T Print "Set pupil diameter = " & pupilDiam ]` &[Se d H[_uVv;}6 'Update AZ Eye subassembly Description s:m<(8WRw eID = FindFullName( "Geometry.Arizona Eye" ) {Y@-*pL] GetEntity eID, entity :)+@qxTy entity.Description = "Accommodation = " & A & "D" :UJUh/U SetEntity eID, entity dPyBY]` }Nd`;d
Update D?*sdm9r` Print "DONE!" [WO%rO^p 8H%I|fm End Sub u{{xnyl? N`|Ab(. 如果屈光度是4,光瞳直径是4,则会输出如下数据: @L>NN>?SGQ }JpslY*aS Accommodation = 4 Diopters (fk, 80 Pupil Diameter = 4 mm yZ(Nv $[5 Set aqueous humor thickness = 2.81 )R
a/
Set anterior lens radius = 10.4 and conic constant = -2.375869 !EmR (x Set posterior lens radius = -4.424557 and conic constant = -3.081019 +{Vwz Set lens thickness = 3.927 ixJ20A7 Set lens index of refraction = 1.42672 }r<@o3t Set pupil diameter = 4 Er)_[^)
HG DONE! sWZtbW;)
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