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简介
NouT~K`' 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。 $Z$BF dd_n|x1 模型 T&cf6soo $M#G;W5c 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。 _@SC R% s}X2*o`, Table 1. AZ眼睛模型的定义 A"d=,?yE 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. ZC@Pfba[` -PoW56 光源 ~xkcQ{ r
",..{ 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。 D8G5,s-. }cEcoi<v! MBp%TX! 图1. 光源和提示信息使用 1Sx2c 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。 9x23## s |!,;IoZ 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。 ?7*.S Lt /*i[MB 图2. 字母F光源的设定方法光 PsaKzAg? ,F!zZNW9 图3. 字母F在视网膜上位置点列图 cY0NQKUk~ 视网膜的散射 \0).
ODA( ACc tyGd 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。 gwm!Pw j WBK6Ug <Y:{>= 图4. 视网膜朗伯散射设定 pE,2pT2> 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。
kc-=5l #p*D.We -U.>K,M 图5. 视网膜重点采样规格设定 <Z5-?wgf9 脚本 l|9'M'a %68'+qz 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: qILb># T\?$7$/V 图6. 用户对话框的创建与编辑 0Ta&o-e 图7. 用户对话框编辑器 0"}J!c<g 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。 g[';1}/B4 余下的脚本计算与屈光度有关的所有参数。 {bHUZen
HCfme<' 分析 Swa0TiT( jVi>9[rz 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。
h!=h0 `%; Hj _X} 图7. 字母F在视网膜上颜色分析 B>.x@(}V~ 脚本代码 =gNPS0H FJ,"a%m/Q Option Explicit 'Remove this to enable non-dimensioned variables to be used. /9ctmW1!< _Z7`tUS-j Dim entity As T_ENTITY YLJ^R$pi Dim op As T_OPERATION 7zM9K+3L Dim mat As T_MODELMATERIAL ttOk6- Dim A As Double ]-8WM5\qJM Dim pupilDiam As Double e[
yN Dim eID As Long `6$|d,m5 Dim parID As Long V56WgOBxz Dim count As Integer UodBK7y Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double p<1y$=zS Dim tlens As Double, nlens As Double i/j53towe Dim curv As Double, conic As Double wXjidOd$ Dim ok As Long vAp<Muj(a 'X<4";$mU Sub Main WP2=1"X63 IjGPiC '用户输入对话框 @}=(4% Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 o?Aj6fNY? TextBox 220,21,40,21,.TextBox1 'default: 0 .G.WPVE Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 nr2 Q[9~ OKButton 40,91,90,21 CP~mKmMV CancelButton 190,91,90,21 4-~Z{#- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 Kv<f<>|L TextBox 220,49,40,21,.TextBox2 'default: 4 =Ox}WrU~ End Dialog WQ{[q" O Dim dlg As UserDialog G4uG" NV7k@7_{B ok = Dialog (dlg) W1 k]P. Aa=:AkrH If ok=0 Then 'cancel button was pressed rtS' 90` Print "Execution cancelled." nl
qn:[BU End 8[;vC$ End If _0(%^5Y S=(<m%f 'Assign accommodation and pupil diameter & use defaults if field left empty k,[*h-{8 If dlg.TextBox1 = "" Then DY -5(6X A = 0 'Default accommodation H1I^Vij Else T]ls&cW5 A = CDbl(dlg.TextBox1) Dn6U8s& End If d2V X\ sxsb)a If dlg.TextBox2 = "" Then #~!"`B?#* pupilDiam = 4 'Default pupil diameter =e4 r=I Else ];Z6=9n pupilDiam = CDbl(dlg.TextBox2) ; h\T7pwwb End If =hkYQq`Q oQ 2$z8 Print " " _]-4d_&3( Print "Accommodation = " & A & " Diopters" &W,jR|B
Print "Pupil Diameter = " & pupilDiam & " mm" g:>'+(H ; G@.MP|
2 ' Calculate new parameters with accommodation $P=C7; taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness U}LW8886 |@vkQ
Rant = 12.0 - 0.4*A 'Radius of anterior lens b~J)LXj]w CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens d=/0A\O lj (y Rpost = -5.224557 + 0.2*A 'Radius of posterior lens .qgUD CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens G18w3BFx $iu[-my_ tlens = 3.767 + 0.04*A 'Lens thickness 8.i4QaU D7;9D*o\ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction m[^lu1\wn } o%^
Mu B 'Adjust parameters to account for accommodation Snx!^4+MF dE7S[O '************************************************************************* [ QiG0D_'= 'Aqueous thickness (Position of Lens) rZ~w_DK* '************************************************************************* 2yZr!Rb~* eID = FindFullName( "Geometry.Arizona Eye.Lens" ) E5w;75, GetCustomElement eID, entity !cwZ*eM )S
caT1I parID = FindFullName( "Geometry.Arizona Eye" ) <h/%jM>9/ 1u
9hA~rj ' Delete any shift(s) in z ?13qDD: count = 0 V)j[`,M: While GetOperationCount(eID)>count =V[uXm GetOperation eID, count, op y0%1YY If op.Type="ShiftZ" Then FTf#"'O DeleteOperation eID,count pk :P;\ count=count-1 cCe~OlXQ End If AcC &Q:g count=count+1 CkT(\6B- Wend 5E&#Kh(I .T|
}rB<c 'Set new shift in (N7uaZ?Z op.Type = "ShiftZ" |eqBCZn op.val1 = taq *m~-8_ >; op.parent = parID X@rA2);6 AddOperation eID, op TSlB.pw%v Print "Set aqueous humor thickness = " & taq-0.55 [9 W@<p eU[g@Pq:Y '************************************************************************* fpD$%.y'J 'Radius and conic constant of anterior lens "& ,ov# '************************************************************************* JvpGxj eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 6l#x1o; GetConic eID, entity, curv, conic (W
~K1] <+`%=r)4 SetConic eID, entity, 1/Rant, CCant /wV|;D^ ) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Wg']a/m -V2\s '************************************************************************* #BC"bY 'Radius and conic constant of posterior lens [#PE'i4 '*************************************************************************
`o[l%I\Q eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) W>K^55' GetConic eID, entity, curv, conic (_T{Z>C/J Yj%]|E- SetConic eID, entity, 1/Rpost, CCpost jD:
N)(( Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #b/qR^2qW ,T$ts '************************************************************************* {& o^p! 'Lens thickness (Position of posterior lens surface) =[6^NR( '************************************************************************* {]0e=#hw X8nos parID = FindFullName( "Geometry.Arizona Eye.Lens" ) J:xGEa t YuX JT* ' Delete any z-shift(s) Nwvlv{k' count = 0 kv+% While GetOperationCount(eID)>count ]Bhy=1 GetOperation eID, count, op IG781:,/ If op.Type="ShiftZ" Then 2jsbg{QS#_ DeleteOperation eID,count <W4F`6`x count=count-1 :|S zD4Ag End If N[%u>! count=count+1 w5@5"M Wend >4:d) wQ}r/2n|^ 'Set new z-shift Z_d"<k}I op.Type = "ShiftZ" h9vcN#22D op.val1 = tlens i5,iJe0cA op.parent = parID NGx3f3 9 AddOperation eID, op J2UQq 7-y Print "Set lens thickness = " & tlens }3pM,. Q;M\fBQO}& '************************************************************************* ZN[<=w&(cB 'Lens index of refraction I \:WD" '************************************************************************* }F`|_8L*v) eID = FindMaterial( "Lens" ) O9=/\Kc GetModelMaterial eID, mat h^M_yz-f !jCgTo
y mat.Nd = nlens x#rgFY,TY SetModelMaterial eID, mat O%bbyR2 Print "Set lens index of refraction = " & nlens %uW=kr t@q'm.:uw< '************************************************************************* e8m,q~%#/ 'Pupil diameter Ndmt$(b '************************************************************************* |)-kUu eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) nm'l}/Ug k+<945kC 'Adjust pupil diameter (trimming volume inner hole) ;b~ S/ g:
i5%1 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" >oh H4: @MW@mP)# ' Adjust pupil location to just in front of the lens jHLs
5% parID = FindFullName( "Geometry.Arizona Eye" ) %@$UIO,( eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) S-Uod y count = 0 sZ;|NAx) While GetOperationCount(eID)>count ^t>mdxuq GetOperation eID, count, op gI+8J.AG= If op.Type="ShiftZ" Then D3pz69W DeleteOperation eID,count G\.~/<Mg+ count=count-1 SZyk G[ End If H4/wO count=count+1 c9(3z0!F? Wend }^"6 :;, op.Type = "ShiftZ" YQVo7"`% op.val1 = taq-0.01 .`or^`X3 op.parent = parID d2\!tJm AddOperation eID, op *~rj!N?; d}
>Po%r: Print "Set pupil diameter = " & pupilDiam K$E3RB_F m|*B0GW 'Update AZ Eye subassembly Description rhv~H"qzW eID = FindFullName( "Geometry.Arizona Eye" ) Di9RRHn&q GetEntity eID, entity }gp@0ri%5 entity.Description = "Accommodation = " & A & "D" c`6c)11K SetEntity eID, entity [Nyt0l "z ^-o{3Q(w Update exRw, Nk4 Print "DONE!" % rBzA< e`*}?N4d End Sub [KDxB>R<{ BN/4O?jD9 如果屈光度是4,光瞳直径是4,则会输出如下数据: 6FS%9.Ws !MbzFs~ Accommodation = 4 Diopters qxL\G &~ Pupil Diameter = 4 mm sdp&D@ Set aqueous humor thickness = 2.81 ?R`S- Set anterior lens radius = 10.4 and conic constant = -2.375869 2TK \pfD Set posterior lens radius = -4.424557 and conic constant = -3.081019 ts]e M1; Set lens thickness = 3.927 lExQp2E Set lens index of refraction = 1.42672 t)SZ2G1r Set pupil diameter = 4 i~B?p[ DONE! G gO5=| 3?OQ-7, (文章来源:讯技光电)
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