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简介 >Wz;ySEz z)HD`Ho 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。 :O(^w}sle ?s:d[To6 模型 `[C!L *#, bT&: fHc 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。 C`5 U#3J0+! Table 1. AZ眼睛模型的定义 G#MdfKH 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. q7"7U=W0 =+AS/Jq 光源 92^w8Z. B, 9w0 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。 ATR!7i\| ij? 9;veuX#( 图1. 光源和提示信息使用 F$[ U|%* 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 qG<$Ajiin |jM4E$
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。 %Qj;, #z |^A ;&// 图2. 字母F光源的设定方法光 @r?Uua t*?0D\b
2 图3. 字母F在视网膜上位置点列图
6H'HxB4 视网膜的散射 @'|)~,"bx .-<k>9S7_ 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。 1bH;!J uJ6DO#d`P aXL{TD:] 图4. 视网膜朗伯散射设定 U4cY_p? 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。 2 aL) $]8h $ *W
kIq> 图5. 视网膜重点采样规格设定 i F+vl] 脚本 O9r>E3-q 95z]9UL 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: {Lm~r+
U #
0Lf<NZ 图6. 用户对话框的创建与编辑 #y%!\1M/:A 图7. 用户对话框编辑器 ~j<+k4I~ 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。 (7 r<'' 余下的脚本计算与屈光度有关的所有参数。 Q_t`.jus Ry|!pV 分析 L =8rH5 f-%NaTI 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 xe*aC /"B?1?qc,= 图7. 字母F在视网膜上颜色分析 'z$Q rFW 脚本代码 HvVts\f 39=1f6I1 Option Explicit 'Remove this to enable non-dimensioned variables to be used. 65Cg]Dt71 B`
k\ EL' Dim entity As T_ENTITY kSDZZx Dim op As T_OPERATION xl#LrvxI Dim mat As T_MODELMATERIAL D#o}cC. Dim A As Double 8)4P Ll Dim pupilDiam As Double g]c 6&Y,# Dim eID As Long oIefw:FE,a Dim parID As Long ^g`&7tX Dim count As Integer d,=r9. Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double BN4_: Dim tlens As Double, nlens As Double kP?KXT3y Dim curv As Double, conic As Double xQ@^$_ Dim ok As Long w.0qp)} '60 L~`K Sub Main *;fw%PW (t4&,W_spA '用户输入对话框 ]X^rU`": Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 dX)GPC-D7 TextBox 220,21,40,21,.TextBox1 'default: 0 /;utcc Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 AqV7\gdOC OKButton 40,91,90,21 uxzze~_+C CancelButton 190,91,90,21 E~_]Lfs) Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 OdB?_.+$ TextBox 220,49,40,21,.TextBox2 'default: 4 dx+hhg \L End Dialog UNkCL4N Dim dlg As UserDialog 7=DjI ~ 1SR+m>pL ok = Dialog (dlg) k0Uyf~p~ wy}k1E'M If ok=0 Then 'cancel button was pressed 9t#S= DP Print "Execution cancelled." 9s_,crq5 End f?'JAC* End If 1Q.\s_2 P[k$vD 'Assign accommodation and pupil diameter & use defaults if field left empty uI DuGrt If dlg.TextBox1 = "" Then %C=]1Q=T) A = 0 'Default accommodation pe{;~-|6 Else XQ~Ke-QW) A = CDbl(dlg.TextBox1) &Ky_v^ End If ~mR'Q-hi< LK@lpkX If dlg.TextBox2 = "" Then %Pqf{*d8 pupilDiam = 4 'Default pupil diameter 4M^G`WA}t9 Else *Otg*,\ pupilDiam = CDbl(dlg.TextBox2) S!sqbLrBn End If Vl2XDkhq \R3H+W Print " " Co3:*nbRv Print "Accommodation = " & A & " Diopters" @`,1: Print "Pupil Diameter = " & pupilDiam & " mm" C|?o*fQ ,-OCc!7K ' Calculate new parameters with accommodation al[n,u taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ;JRs?1<=' w-0mzk" Rant = 12.0 - 0.4*A 'Radius of anterior lens xSBc-u#< G CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens QurW/a l}lIi8 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <bD>m[8, CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens NZ3/5%We/ $e /^u[~: tlens = 3.767 + 0.04*A 'Lens thickness p+Y>F\r&w w/IZDMBf| nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction XZ5 /=z uy}%0vLo 'Adjust parameters to account for accommodation +tD[9b!
m }@^4,FKJ '************************************************************************* %bdjBa} 'Aqueous thickness (Position of Lens) ?Sb8@S&J '************************************************************************* ? mhs$g> eID = FindFullName( "Geometry.Arizona Eye.Lens" ) tu5*Qp\ GetCustomElement eID, entity q/4 [3h lbuAE% parID = FindFullName( "Geometry.Arizona Eye" ) ~D |5u\D- A|@_}h"WG ' Delete any shift(s) in z m-jHze`D3 count = 0 fhCc! \ While GetOperationCount(eID)>count /AQMFx4-5 GetOperation eID, count, op :hI@AA>g If op.Type="ShiftZ" Then &wB\ ~Ie- DeleteOperation eID,count 1\r|g2Z
: count=count-1 yZWoN& End If f u9Cx count=count+1 MW+b;0U`# Wend xrN
&N_K# ''kS*3 'Set new shift in 41_SRh7N op.Type = "ShiftZ" N72Yq)( op.val1 = taq EFc-foN op.parent = parID 1DA1N<' AddOperation eID, op 3S&U! Print "Set aqueous humor thickness = " & taq-0.55 Tdc3_<1 Tc+gdo>G '************************************************************************* .%82P( 'Radius and conic constant of anterior lens bUY>st' '************************************************************************* jU5 }\oP@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) r
lKlpl GetConic eID, entity, curv, conic -D^}S"' raQ7.7 SetConic eID, entity, 1/Rant, CCant mB0l "# F Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant .E@|D6$D 10#f`OPC '************************************************************************* ]@M5& 'Radius and conic constant of posterior lens Q*XE
h '************************************************************************* 8+Bu+|c%f eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) bTSL<"(]N GetConic eID, entity, curv, conic C8L'si GAc{l=vT' SetConic eID, entity, 1/Rpost, CCpost w2xG_q Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost | 0,vQv ,Hgc-7g@Y '************************************************************************* GT J{h 'Lens thickness (Position of posterior lens surface) K2<~(78C '************************************************************************* M+!x}$&v !(t,FYeH parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 1>Q'R p)~lL ' Delete any z-shift(s) ^bLRVp1 count = 0 U/NBFc:[y: While GetOperationCount(eID)>count Rl6\#C* GetOperation eID, count, op z7-k`(l4 If op.Type="ShiftZ" Then Bu]t*$ DeleteOperation eID,count T{}fHfM count=count-1 9Ok9bC'?8@ End If 9*:gr#(5 count=count+1 %AW4.3()8 Wend AE@NOM7u &Sp -w?kM 'Set new z-shift 4c+$%pq5 op.Type = "ShiftZ" /Ky__l!bu op.val1 = tlens j8K,jZ op.parent = parID m~'? /!! AddOperation eID, op _Zc%z@} Print "Set lens thickness = " & tlens tV/Z)fpyH CD0VfA>Z '************************************************************************* T%Pp*1/m7 'Lens index of refraction x|KWyfOS '************************************************************************* s9oO%e< eID = FindMaterial( "Lens" ) j(#%tIv GetModelMaterial eID, mat 9,]5v+ 5yVkb*8HS mat.Nd = nlens ~3RC>8*Qw SetModelMaterial eID, mat 6/ `.(fL1 Print "Set lens index of refraction = " & nlens KL'zXkS \x>65; '************************************************************************* nmjm<Bu 'Pupil diameter ggb|Ew '************************************************************************* #?B%Ja%
;W eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" )
d^|0R x&A vUJ 'Adjust pupil diameter (trimming volume inner hole) z}Jr^> gf)t)- E SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" \.gEh1HW A`6ra}U<
' Adjust pupil location to just in front of the lens V|MY!uV parID = FindFullName( "Geometry.Arizona Eye" ) tD$lNh^ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ~svO*o Wa count = 0 5y4u5Tm-% While GetOperationCount(eID)>count kVS?RHR GetOperation eID, count, op #&,H"?" If op.Type="ShiftZ" Then 5f:DN\ ] DeleteOperation eID,count <ale$[ count=count-1 r gcWRt End If M*pRv count=count+1 fMf&?`V Wend P6U%=xaC op.Type = "ShiftZ" [XlB<P=|> op.val1 = taq-0.01 4O{Avt7C op.parent = parID YH:8<O,{- AddOperation eID, op k6\^p;!Y ]|:uU Print "Set pupil diameter = " & pupilDiam )fU(AXSP "?.~/@ 'Update AZ Eye subassembly Description 9j|gdfb%ml eID = FindFullName( "Geometry.Arizona Eye" ) Cpx+qQt0 GetEntity eID, entity q\9d6u=Gm entity.Description = "Accommodation = " & A & "D" 4-v6=gz. SetEntity eID, entity R
UTnc ,,=apyr#& Update g2p"LWex- Print "DONE!" gd6Dm4q( Ov9Q?8KzM End Sub X21dX`eMN s.jO<{ 如果屈光度是4,光瞳直径是4,则会输出如下数据: D!TZI t0m*PJcF Accommodation = 4 Diopters v
vE\ Pupil Diameter = 4 mm D>wZ0p b- Set aqueous humor thickness = 2.81 ^O%9yEo Set anterior lens radius = 10.4 and conic constant = -2.375869 q9}m!*8e Set posterior lens radius = -4.424557 and conic constant = -3.081019 v@u<Ww;=@ Set lens thickness = 3.927 3 EYiQ` Set lens index of refraction = 1.42672 S-Ai3)t6 Set pupil diameter = 4 ^i_Iqph= DONE! ^lO76Dz~a
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