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简介 qC\$>QU} {OAy@6
+ 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。 \f66ipZK* y6*i/3 模型 62(WZX%b nBiSc* 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。 ObM5v rEk| cJ8*[H<NV Table 1. AZ眼睛模型的定义 l"*>>/U k 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. 5 (H; x74 i0AC.]4e" 光源 ^\+6*YE 4 %\b5)p 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。 %oor7 -l Olxb`x
5 #kvb$97 图1. 光源和提示信息使用 c7rYG] 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Y" l!3^ It_yh
#s 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Gj)Qw6
*Mp<4B 图2. 字母F光源的设定方法光 5R ec}H ]hf4= gm 图3. 字母F在视网膜上位置点列图 w@:o:yLS 视网膜的散射 PPq*_Cf 2PeI+!7s 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Z#J{tXZc b&_p"8)_ VR:b1XWX 图4. 视网膜朗伯散射设定 WG}QLcP 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 2Q k\}KWs 0~S<}N nVM`&azD 图5. 视网膜重点采样规格设定 (Iq\+@xE= 脚本 AT9SD vJ [&`>&u@MK 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: cEQa 6 /gdo~ 图6. 用户对话框的创建与编辑 h`GV[Oo : 图7. 用户对话框编辑器 9=}/t9k 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 =H?Nb:s 余下的脚本计算与屈光度有关的所有参数。 Z\7bp&& 9(PFd% 分析 C9iG`? ``z="oD 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 JR>B<{xB <A&R%5Vs 图7. 字母F在视网膜上颜色分析 VN".NEL 脚本代码 S8cFD):q o{Ep/O` Option Explicit 'Remove this to enable non-dimensioned variables to be used. iGlZFA ge?ymaU$a Dim entity As T_ENTITY 5(|ud)v Dim op As T_OPERATION ropiyT9; Dim mat As T_MODELMATERIAL !'MD8 Dim A As Double 68>zO% Dim pupilDiam As Double MtB:H*pM Dim eID As Long VA%i_P, Dim parID As Long W P&zF$ Dim count As Integer f:0n-me Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;C<A} Dim tlens As Double, nlens As Double fh3
6 Dim curv As Double, conic As Double W!^=)Qs
Dim ok As Long l`]!)j|+ qs b4@jt+ Sub Main CYu8J@(\~g =w8 YZs8w '用户输入对话框 CUG<v3\ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 U,S286 TextBox 220,21,40,21,.TextBox1 'default: 0 Qw-qcG Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 s#fmGe"8 OKButton 40,91,90,21 TDGzXJf[ CancelButton 190,91,90,21 ?yb{DZ46 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 :F\f}G3 TextBox 220,49,40,21,.TextBox2 'default: 4 OY#_0p)i End Dialog F"C Yrt Dim dlg As UserDialog w6Q]?p+ a+i+#*8wm ok = Dialog (dlg) jY.%~Y1y /0uinx If ok=0 Then 'cancel button was pressed [)pT{QA Print "Execution cancelled." yB1>83!q End ?rDwYG(u]@ End If 4#9-Z6kOk J_@4J7 'Assign accommodation and pupil diameter & use defaults if field left empty dp70sA!JF If dlg.TextBox1 = "" Then PsnU5f)` A = 0 'Default accommodation -tdG}Gu Else co80M;4 A = CDbl(dlg.TextBox1) k
N+( End If "!?bC#d#( '1
$ ({{R If dlg.TextBox2 = "" Then K=)R!e8 pupilDiam = 4 'Default pupil diameter NZ5~\k Else s`YuH <8 pupilDiam = CDbl(dlg.TextBox2) {LDb*'5Cy End If ,gc#N QEKFuY<E+ Print " " O :^[4$~ Print "Accommodation = " & A & " Diopters" W!X]t)Ow Print "Pupil Diameter = " & pupilDiam & " mm" ^ym{DSx ;I'/.gW;{ ' Calculate new parameters with accommodation >6 #\1/RP taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness V1`|j 88j
;7 Rant = 12.0 - 0.4*A 'Radius of anterior lens Gf\_WNrSE+ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens du,-]fF !X 8R Rpost = -5.224557 + 0.2*A 'Radius of posterior lens &:*+p-!2< CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens T7~v40jn| QO/7p]$_ tlens = 3.767 + 0.04*A 'Lens thickness E;H(jVZ |lwN!KVQ, nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction >}*jsqaVU 5#\p>}[HG 'Adjust parameters to account for accommodation F`.7_D Wp3l>: '************************************************************************* @\8gzvkt 'Aqueous thickness (Position of Lens) 8-ssiiJ}gh '************************************************************************* iXRt9)MT{ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) %Qz`SO8x? GetCustomElement eID, entity EIQy?ig86 Zr;=p"cXr parID = FindFullName( "Geometry.Arizona Eye" ) ;@
X 1I_q3 { ' Delete any shift(s) in z ]#.&f]6l count = 0 z{L;)U B^ While GetOperationCount(eID)>count nF$)F?|| GetOperation eID, count, op b.*4RL If op.Type="ShiftZ" Then E}/|Lja DeleteOperation eID,count 3yB6]U count=count-1 ix @rq# End If UO<claV count=count+1 M&c1iK\E8 Wend Aq'E:/ l:yAgm` 'Set new shift in ^3o8F op.Type = "ShiftZ" m(:qZW op.val1 = taq k.[) R@0% op.parent = parID wLe&y4 AddOperation eID, op \<x_96jt!\ Print "Set aqueous humor thickness = " & taq-0.55 R6mJFE*6T9 0]W]#X4A '************************************************************************* VDjIs UUX 'Radius and conic constant of anterior lens B^~Bv!tHWr '************************************************************************* ,ri--< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) z2V8NUn GetConic eID, entity, curv, conic igj@{FN }QW~.>` SetConic eID, entity, 1/Rant, CCant bvS\P!m\c Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant ]mo<qWRc>p n12c075 '************************************************************************* :gaeb8`t 'Radius and conic constant of posterior lens ~<[5uZIo '************************************************************************* Ny7=-]N4{" eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) dS_)ll.6z GetConic eID, entity, curv, conic NZW)X[nXM <L
( = SetConic eID, entity, 1/Rpost, CCpost =1OAy`8 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost cYy@ D)7$M]d% '************************************************************************* B5H&DqWzr 'Lens thickness (Position of posterior lens surface) wK`ieHmp '************************************************************************* 02#Iip3t eEGcio}_I9 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ~w9=Fd6 64rk^Um ' Delete any z-shift(s) %<#3_}"T| count = 0 n9fA!Wic While GetOperationCount(eID)>count b<V./rWIB GetOperation eID, count, op 9.OwH(Ax7 If op.Type="ShiftZ" Then z/&a\`DsU DeleteOperation eID,count "mK i$FV count=count-1
R{KIkv End If nC.2./OwMf count=count+1 ;(0$~O$3u Wend F@'rP++4 S<]a@9W 'Set new z-shift _AB9BQm op.Type = "ShiftZ" FO>( QLlH op.val1 = tlens 4J
51i*` op.parent = parID po2[uJ AddOperation eID, op D62
NU Print "Set lens thickness = " & tlens [gns8F#H\ b
hr E '************************************************************************* ytV)!xe 'Lens index of refraction QUZQY`'@ '************************************************************************* z>p`!-'ID eID = FindMaterial( "Lens" ) ?-:: {2O) GetModelMaterial eID, mat z vb}p j5h
6u,^: mat.Nd = nlens 69j~?w)^ SetModelMaterial eID, mat ]\ 2RVDC Print "Set lens index of refraction = " & nlens /`O]etr`d ?7nr\g"g( '************************************************************************* oBNX8%5w 'Pupil diameter `=}UFu '************************************************************************* 71/ m.w eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) T<e7(= P&%eIgAOL 'Adjust pupil diameter (trimming volume inner hole) H~dHVQtJZ ZecvjbnVY SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" Q6!v3P/h 7}cDGdr ' Adjust pupil location to just in front of the lens UUMdZ+7 parID = FindFullName( "Geometry.Arizona Eye" ) 9ze| s^ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ?X#/1X%u: count = 0 pjHRV[`AP While GetOperationCount(eID)>count ^2C /!Y< GetOperation eID, count, op z'oiyXEE3 If op.Type="ShiftZ" Then euj8p:+X DeleteOperation eID,count 8lWH=kA\ count=count-1 >'}=.3\ End If 'uKkl(==% count=count+1 w*u{;v# Wend Z2rzb{oS} op.Type = "ShiftZ" O%JsUKV op.val1 = taq-0.01 ]Q4PbW op.parent = parID wLOQhviI^- AddOperation eID, op "rx^M*" K4k~r!&OU Print "Set pupil diameter = " & pupilDiam y5/'!L)g *|k;a]HT 'Update AZ Eye subassembly Description
4j@i% eID = FindFullName( "Geometry.Arizona Eye" ) ) Kc%8hBv GetEntity eID, entity 'cAc{\) entity.Description = "Accommodation = " & A & "D" %/y`<lJz( SetEntity eID, entity -!|WZ q1f=&kGX~ Update n|x$vgb Print "DONE!" bbNU\r5% HUJ|-)"dw End Sub e`Co,>W/ ^IVe[P' 如果屈光度是4,光瞳直径是4,则会输出如下数据: \+iu@C ms}f>f= Accommodation = 4 Diopters @q&|MMLt Pupil Diameter = 4 mm .~q)eV Set aqueous humor thickness = 2.81 ?Ml%$z@b? Set anterior lens radius = 10.4 and conic constant = -2.375869 79SqYe=&uy Set posterior lens radius = -4.424557 and conic constant = -3.081019 nw0L1TP/J Set lens thickness = 3.927 (S
k#x Set lens index of refraction = 1.42672 .73zik Set pupil diameter = 4 a#+>w5 DONE! _\dt?(m| 8M^wuRn o3n3URu\ QQ:2987619807 dU]i-NF
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