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简介 PglSQ2P l
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sNy 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。 ;J@U){R $`A{-0=x\U 模型 ;AG&QdTMh 2tb+3K1 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 vbD"" sYq:2Wn>8Q Table 1. AZ眼睛模型的定义 hgj ]Jr 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. D6dliU?k M}!
qH.W 光源 zv7)JH7EV& BTzBT%mP 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 ~.tl7wKkR/ x?UAj8z6 /1v:eoF; 图1. 光源和提示信息使用 x8xz33 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 +7Uv|LZ~@ fN1b+d~*6 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 !kG |BJ$j k|czQ"vaI 图2. 字母F光源的设定方法光 v.-r %j{I
_!_^B 图3. 字母F在视网膜上位置点列图 qSDn 0^y 视网膜的散射 S"VO@)d **\?-*c=U 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。 !F:mDZeY C B`7KK ,(RpBTV 图4. 视网膜朗伯散射设定 (q0vql 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。 pw&k0?K# VJ8'T"^Hf (j~T7og 图5. 视网膜重点采样规格设定 0x,**6 脚本 I94-#*~I UlWm).
b;v 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: HOx+umjxW Qqi?DW1)- 图6. 用户对话框的创建与编辑 }$'XV. 图7. 用户对话框编辑器 P:_bF>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。 M}j[{wW3 余下的脚本计算与屈光度有关的所有参数。 Yi]`"\ =k*XGbU 分析 =W;e9 6# H|0-Al.{ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 c^O&A\+; J0
dY%pH# 图7. 字母F在视网膜上颜色分析 x#5vdBf 脚本代码 fJP *RVz HYmUD74FR Option Explicit 'Remove this to enable non-dimensioned variables to be used. [!>9K}z,= 5*f54g"' Dim entity As T_ENTITY {n&n^`Em Dim op As T_OPERATION A|,qjiEJCc Dim mat As T_MODELMATERIAL W"*2,R[}% Dim A As Double $hHV Ie]+ Dim pupilDiam As Double CPL,QVO9 Dim eID As Long aNs8T` Dim parID As Long MD*dq Dim count As Integer ZPY&q&R Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]kXWeY < Dim tlens As Double, nlens As Double 1hlU
6=Y Dim curv As Double, conic As Double k$ T Dim ok As Long _Rb2jq(&0 w[D]\>QHa Sub Main *7-rm REgM '用户输入对话框 vBJxhK- Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 0{uaSR TextBox 220,21,40,21,.TextBox1 'default: 0 o<iU;15 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 !yVY[ OKButton 40,91,90,21 5~/EAK` CancelButton 190,91,90,21 )[cuYH> Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 a??8)=0|} TextBox 220,49,40,21,.TextBox2 'default: 4 P[-do End Dialog _~MX~M3MB Dim dlg As UserDialog v-SXPL]_^ n-xdyJD ok = Dialog (dlg) y 3o3 G ^[r1Dk If ok=0 Then 'cancel button was pressed ?]D))_|G Print "Execution cancelled." +}M3O]?4 End 9PACXW0 End If a;^lOU|L{ |0oaEd^*} 'Assign accommodation and pupil diameter & use defaults if field left empty W7b
m}JHn If dlg.TextBox1 = "" Then :fwt PvLo A = 0 'Default accommodation |dbKK\ X9 Else \o/eF& A = CDbl(dlg.TextBox1) ;Vc|3 End If uDXV@;6< 4bp})>}jB If dlg.TextBox2 = "" Then oQ,<Yx%E3 pupilDiam = 4 'Default pupil diameter H8[A*uYL
Else 4oH ,_sr pupilDiam = CDbl(dlg.TextBox2) })P!7t End If F[$cE X[r0$yuE Print " " c?EvrtND Print "Accommodation = " & A & " Diopters" 9]w?mHslE Print "Pupil Diameter = " & pupilDiam & " mm" #=S^i[K/ Hnk&2bY ' Calculate new parameters with accommodation hmd3W`8D taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness |idw?qCn ~Ck OiWC0 Rant = 12.0 - 0.4*A 'Radius of anterior lens |%F,n2 CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens A]5];c R'zi#FeP Rpost = -5.224557 + 0.2*A 'Radius of posterior lens HnKgD: CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens Wh| T3& j}",+Hv tlens = 3.767 + 0.04*A 'Lens thickness ;m#4Q6k)V? ~ gff{Nzk nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction @`C'tfG/4 % g 'Adjust parameters to account for accommodation bTrusSAl z8awND '************************************************************************* j|wN7@Zc 'Aqueous thickness (Position of Lens) $.,B2} ' '************************************************************************* @-Ql6k eID = FindFullName( "Geometry.Arizona Eye.Lens" ) (@5`beEd GetCustomElement eID, entity SU4i'o T9w=k) parID = FindFullName( "Geometry.Arizona Eye" ) S<Gm*$[7 9l&q} ' Delete any shift(s) in z [. 9[?8 count = 0 ERIMz, While GetOperationCount(eID)>count !|xB>d
q? GetOperation eID, count, op [UZr|F
If op.Type="ShiftZ" Then 0jlM~ H DeleteOperation eID,count X1`3KqK<9 count=count-1 o>,r< End If qc
@cdi count=count+1 ?@$xLUHR4 Wend =X7kADRq r5S/lp+Y+N 'Set new shift in <n]P D;.4 op.Type = "ShiftZ" b;UDgq8v op.val1 = taq zU~ Ff"< op.parent = parID 7GsKD=bl] AddOperation eID, op }#H,oy;Dz Print "Set aqueous humor thickness = " & taq-0.55 px K&aY8 "d$~}=a[ '************************************************************************* zT78FliY6 'Radius and conic constant of anterior lens 77O$^fG2 '************************************************************************* =b:XL#VA eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) )8W! | GetConic eID, entity, curv, conic 8(\}\4G_ 196a~xNV SetConic eID, entity, 1/Rant, CCant 1l#46?]~ Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant bp:`m>4< ^%9oeT{ '************************************************************************* ylZQwICk 'Radius and conic constant of posterior lens %T]^,y$n '************************************************************************* N:| :L:<1 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ]5f;Kz) GetConic eID, entity, curv, conic 37zBX~ Z5 IWoY SetConic eID, entity, 1/Rpost, CCpost r9_ ON| Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ]E<Z5G1HD YJ6~P '************************************************************************* W"vLCHTh 'Lens thickness (Position of posterior lens surface) G9Uc
}z '************************************************************************* *{w0=J[15 -| m3=# parID = FindFullName( "Geometry.Arizona Eye.Lens" ) +112{v=!i '37
{$VHw ' Delete any z-shift(s) Mc@9ivwL# count = 0 ZDFq=)0C While GetOperationCount(eID)>count |?^<=% GetOperation eID, count, op JKM(fX+ If op.Type="ShiftZ" Then gA(npsUHI DeleteOperation eID,count R|\eBnfI count=count-1 "i;.> End If bN.
G%1 count=count+1 ^~[7])}g6 Wend 5Z!$?J4Rl ~rBFP) 'Set new z-shift Qt+D ,X op.Type = "ShiftZ" )sm9%|.& op.val1 = tlens _Rii19k op.parent = parID LBy`N_@ AddOperation eID, op Zt3sU_ Print "Set lens thickness = " & tlens M#'7hm6 _'!?fA '************************************************************************* ['}|#3*w 'Lens index of refraction <J;O$S '************************************************************************* |:R\j0t eID = FindMaterial( "Lens" ) :.+w'SEn4M GetModelMaterial eID, mat TRi# ydzsJ+dx mat.Nd = nlens tw$EwNI[ SetModelMaterial eID, mat 9xK>fM&u Print "Set lens index of refraction = " & nlens 5?>4I"ne 71nZi`AR '************************************************************************* 0(y*EJA$ 'Pupil diameter r*`e%`HU '************************************************************************* qIZ+%ZOu eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) ,zoHmV1Wd+ .z,-ThTH@\ 'Adjust pupil diameter (trimming volume inner hole) $vXY"-k <
c^'$ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder"
Imhk U% ?C2(q6X+s ' Adjust pupil location to just in front of the lens }h;Z_XF& parID = FindFullName( "Geometry.Arizona Eye" ) s=jmvvs_V} eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) W]D YfR, count = 0 :g|.x While GetOperationCount(eID)>count 6-wpR GetOperation eID, count, op 8`*5[ L~~/ If op.Type="ShiftZ" Then 1-p#}VX DeleteOperation eID,count #a}w&O"; count=count-1 -KGJr End If $=plAi count=count+1 *,X)tZ6VX Wend E^rBs2;9 op.Type = "ShiftZ" _E?tVx.6 op.val1 = taq-0.01 R9A:"sJ op.parent = parID @JlT*:Dz AddOperation eID, op ELwXp|L \2/X$x<?X Print "Set pupil diameter = " & pupilDiam Vl1.]'p_ ]&]G 'Update AZ Eye subassembly Description Zl3l=x h eID = FindFullName( "Geometry.Arizona Eye" ) L8D=F7 GetEntity eID, entity VDnrm* entity.Description = "Accommodation = " & A & "D" J0IKI,X. SetEntity eID, entity DL,R~ *I?-A(e Update N#M>2b<A/T Print "DONE!" : _Y^o -`q!mdA2 End Sub qY-aR; "T5jz#H#/ 如果屈光度是4,光瞳直径是4,则会输出如下数据: zKP[]S- TE&E f$h Accommodation = 4 Diopters 9mvy+XD Pupil Diameter = 4 mm s>G6/TTH6 Set aqueous humor thickness = 2.81 ;0WAfu}#H Set anterior lens radius = 10.4 and conic constant = -2.375869 "-S!^h/v Set posterior lens radius = -4.424557 and conic constant = -3.081019 "#wAGlH6> Set lens thickness = 3.927 Ut~YvWc9 Set lens index of refraction = 1.42672 GThGV" Set pupil diameter = 4 Q3ZGN1aX< DONE! `P\H{
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