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简介 n!y}p q6 ?8)$N 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 n0kkUc-`
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模型 }sS1p6z g].hL 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 AkRZUj\ Voc&T+A m Table 1. AZ眼睛模型的定义 Zu %oIk 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. J*O$)K%Hx ,<?M/'4}G 光源 X+XbIbUuL F`YxH*tO7 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。 Fgg4QF L\asrdL?= x+5y287# 图1. 光源和提示信息使用 quw:4W> 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。 -2Azpeh s
*1%I$=@ 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。 B 9AE* $U/_8^6B0 图2. 字母F光源的设定方法光 \ g[A{ Nm/Fc 图3. 字母F在视网膜上位置点列图 Vl+,OBy 视网膜的散射 |1(9_=i' Gk5SG_o 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?Kq0 ;]^JUmxU[d >w=xGb7 图4. 视网膜朗伯散射设定 I3V>VLv 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。 #`H^8/!e ~cEr<mzR h/%Hk;|9 图5. 视网膜重点采样规格设定 '%"#] 脚本 3
e9fziQ~ 7eg//mL"6 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: 2=l!b/m n`hes_{,g 图6. 用户对话框的创建与编辑 (_lc< Bj 图7. 用户对话框编辑器 XOy#?X/` 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。 ?RD)a`y51 余下的脚本计算与屈光度有关的所有参数。 QYL
'; %7?v='s= 分析 (8(z42 3It'!R8 $ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 }`9}Q
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Iw 图7. 字母F在视网膜上颜色分析 lFY;O !Y5\ 脚本代码 :I }_ Uq6..<# Option Explicit 'Remove this to enable non-dimensioned variables to be used. :Y [r^=> VmB/X)) Dim entity As T_ENTITY +6{KrREX) Dim op As T_OPERATION T<0Bq"'% Dim mat As T_MODELMATERIAL K9*#H( Dim A As Double (Rk g Dim pupilDiam As Double FBPT@`~v Dim eID As Long !2N#H~{ Dim parID As Long ca_8S8lv Dim count As Integer #|8!0]n' Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ;.h5; `& Dim tlens As Double, nlens As Double 3;`93TO{ Dim curv As Double, conic As Double `#X{. Dim ok As Long hGF(E* kc8T@5+I0 Sub Main XI,F^K &w3LMOT '用户输入对话框 P"u* bqk Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 JCZJ\f*EZ TextBox 220,21,40,21,.TextBox1 'default: 0 p$@=N6)I.k Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6#5@d^a OKButton 40,91,90,21 [:!#F7O- CancelButton 190,91,90,21 |P2GL3NR Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 r/L3j0 TextBox 220,49,40,21,.TextBox2 'default: 4 b\?#O} End Dialog $(}kau Dim dlg As UserDialog );;UNO21+ 7w{`f)~ ok = Dialog (dlg) vVLR9"rHM $zz=>BOk If ok=0 Then 'cancel button was pressed -ij1%#t z Print "Execution cancelled." )11/BB\v End :"O=/p+*Us End If ,^o^@SI)
{M E|7TS= 'Assign accommodation and pupil diameter & use defaults if field left empty bTHa;* ` If dlg.TextBox1 = "" Then aM.l+DP A = 0 'Default accommodation qg6Hk:^r Else XW]|Mv[M A = CDbl(dlg.TextBox1) uD:O[H-x End If HA"dw2| ~rY<y%K If dlg.TextBox2 = "" Then
~5}b$qL#` pupilDiam = 4 'Default pupil diameter +I\bs.84 Else W.:kE|a.g pupilDiam = CDbl(dlg.TextBox2) i$:CGUb End If ZVIBmx .#WF' Print " " T*h+"TmE Print "Accommodation = " & A & " Diopters" |klL KX& Print "Pupil Diameter = " & pupilDiam & " mm" 7@tr^JykO >Q5E0 !] ' Calculate new parameters with accommodation l/rhA6kEU taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness /'VCJjzZ ]\r~"*TZ Rant = 12.0 - 0.4*A 'Radius of anterior lens Z/x<U.B CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens `O}.
.N]g F/EHU?_EI Rpost = -5.224557 + 0.2*A 'Radius of posterior lens "l +Jx|h\ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens p6}jCGJ _9
Gy` tlens = 3.767 + 0.04*A 'Lens thickness KI>7h.t PL+fLCk,I nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction J;T_9 c@nl;u)n 'Adjust parameters to account for accommodation )If[pw@j s:]rL&| '************************************************************************* @fE^w^K7 'Aqueous thickness (Position of Lens) [Q 2t,tQx '************************************************************************* eIqj7UY_ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) /CA)R26G GetCustomElement eID, entity {&h &: @Qc['V) parID = FindFullName( "Geometry.Arizona Eye" ) >2g CM 0|^x[dh ' Delete any shift(s) in z :Dr&
{3> count = 0 ^~`8 - TE While GetOperationCount(eID)>count 7L-%5:1% GetOperation eID, count, op i*U\~CZjT If op.Type="ShiftZ" Then 10}Zoq|)n DeleteOperation eID,count `chf8 count=count-1 XIp9=jhSR End If [#9ij3vxd count=count+1 "!Qhk3* Wend *V"cu ~l}TlRqL 'Set new shift in |y:DLsom?i op.Type = "ShiftZ" RD_;us@&&* op.val1 = taq O5=ggG
op.parent = parID 9lD,aOb AddOperation eID, op G8;S`-D1a, Print "Set aqueous humor thickness = " & taq-0.55 o"]eAQ n~)Y% xe[U '************************************************************************* )$]+R?v 'Radius and conic constant of anterior lens HRb_ZJz '************************************************************************* 5r+0^UAO:J eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) hr{%'DAS GetConic eID, entity, curv, conic Maa.>2v< ?xf;#J+{8 SetConic eID, entity, 1/Rant, CCant _$bx4a Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Sm Ei _u]' h?ia4t '************************************************************************* #/tdZ0 'Radius and conic constant of posterior lens
:,ym)|YV '************************************************************************* yav)mO~QU6 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) =)zq%d?i; GetConic eID, entity, curv, conic bL&]3n9Rwu Cir =( SetConic eID, entity, 1/Rpost, CCpost DS$ _"'g%i Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost .gPsJ?b 18n84RkI9 '************************************************************************* iP!Y4F 'Lens thickness (Position of posterior lens surface) t~a$|(
9 '************************************************************************* ZK
?x_`w {&<}*4D parID = FindFullName( "Geometry.Arizona Eye.Lens" ) NuooA ILO+=xU ' Delete any z-shift(s) )R +o8C count = 0 2?r8>#_* While GetOperationCount(eID)>count xXx`a\i GetOperation eID, count, op - dOT/%Ux If op.Type="ShiftZ" Then hv"toszj\ DeleteOperation eID,count GY",AL8f count=count-1 )4`Ml*7x End If 3H%HJS count=count+1 jF3!}*7, Wend (O-)uC Vd/S81/ 'Set new z-shift (En\odbvt op.Type = "ShiftZ" |O)deiJRy op.val1 = tlens y[zA[H: op.parent = parID a?Y1G3U' AddOperation eID, op `;_tt_ Print "Set lens thickness = " & tlens @*uX[) OhW=F2OIV '************************************************************************* n>E*g|a 'Lens index of refraction 'iVo,m[yKU '************************************************************************* `Of wl%G eID = FindMaterial( "Lens" ) 0`P]fL+& GetModelMaterial eID, mat r~}}o o4K %)/f; T6 mat.Nd = nlens Ij#a SetModelMaterial eID, mat _M&.kha Print "Set lens index of refraction = " & nlens `es($7}P_W O|>1~^w '************************************************************************* |x6mkSf]ke 'Pupil diameter #8z,'~\ '************************************************************************* 2&Byq eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) UTTC:=F+ bS<@Rd{g 'Adjust pupil diameter (trimming volume inner hole) Lmwh`oOl |w JZU SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" [)3 U])w/ P*PL6UQ ' Adjust pupil location to just in front of the lens aVP|:OAj parID = FindFullName( "Geometry.Arizona Eye" ) eCp| QSXE eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) fl"y@;;#h count = 0 >-w=7,?'?z While GetOperationCount(eID)>count UPKi/)C; GetOperation eID, count, op lkfFAwnc If op.Type="ShiftZ" Then |nEVOy>' DeleteOperation eID,count ^2r}_AX count=count-1 ?nZ <? End If '%EZoc/U count=count+1 Uxemlp%%* Wend S/-7Zo&w+ op.Type = "ShiftZ" j#e.rNG op.val1 = taq-0.01 be:phS4vz op.parent = parID 5(|M["KK~ AddOperation eID, op ^V}R(gDu}s Z02s(y=k1 Print "Set pupil diameter = " & pupilDiam T'M66kg DnHAm q] 'Update AZ Eye subassembly Description q.MVF] eID = FindFullName( "Geometry.Arizona Eye" ) yb{Q, Dz GetEntity eID, entity O4/n!HOb entity.Description = "Accommodation = " & A & "D" B#aH\$_U SetEntity eID, entity {TncqA 8A:^K:Q Update bV`C;RPn Print "DONE!" q{GSsDo-:V sJb)HQ,7x End Sub ZCBPO~&hO' Iv(Qa6( 如果屈光度是4,光瞳直径是4,则会输出如下数据: fT3*>^Uv !&`\ LJ=j Accommodation = 4 Diopters y5/6nvH_6 Pupil Diameter = 4 mm |WAD $3 Set aqueous humor thickness = 2.81 `.'i V[fr Set anterior lens radius = 10.4 and conic constant = -2.375869 yvz?4m"_yB Set posterior lens radius = -4.424557 and conic constant = -3.081019 3l%,D:
? Set lens thickness = 3.927 oM<!I0"gC+ Set lens index of refraction = 1.42672 v
(ka,Dk3 Set pupil diameter = 4 0i\',h}9 DONE! ufCqvv>' rAx"~l.= ns#~}2"d QQ:2987619807 gKN}Of@^1
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