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简介 X|-v0 f
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。 fz<|+(_>J V(lK`dY 模型 fw:7Q7
qo HC9vc,Fp 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。 lnS\5J r21?c|IP Table 1. AZ眼睛模型的定义 rnMG0 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. PEX26== @sB}q 6> 光源 Yn IM- S|{Yvyp 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。 .*RB~c
t 0^<Skm27" G_2gKkIK- 图1. 光源和提示信息使用 YZ"+c&V" 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。 DU/9/ I?~ |aI|yq) 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。 c ,h.`~{ lQp89*b?=U 图2. 字母F光源的设定方法光 ==-7F3QP 6o[0sM_]; 图3. 字母F在视网膜上位置点列图 r!=]Q}`F 视网膜的散射 dl*_ m3T Q-!
i$#- 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。 aJK-O"0/ _SMT.lG
p<of<YU) 图4. 视网膜朗伯散射设定 6pM"h5hA 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。
Z #.GI ALE808;| l1-4n*fU 图5. 视网膜重点采样规格设定 ~=`f]IL 脚本 T!m42EvIvE q=P
f^Xp 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: ^#a#<8Jz 9l]UE0yTL/ 图6. 用户对话框的创建与编辑 (,- 5(fW 图7. 用户对话框编辑器 %-@'CNP 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。 #W>x\ 余下的脚本计算与屈光度有关的所有参数。 &_Cxv8 +L`V[; 分析 vbr~<JT= BlkSWW/ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 bh= \ vqrBRlZ 图7. 字母F在视网膜上颜色分析 +
$k07mb\ 脚本代码 ]}nu9z< L/qZ ; { Option Explicit 'Remove this to enable non-dimensioned variables to be used. RtW4n:c r :fwrC Dim entity As T_ENTITY Nbgp_:{ Dim op As T_OPERATION H"Q(2I Dim mat As T_MODELMATERIAL 06PhrPVa!\ Dim A As Double C$KaT3I Dim pupilDiam As Double qJ\X~5{ Dim eID As Long iP~sft6 Dim parID As Long I?f"<5[0 Dim count As Integer !&@2 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double CMC?R,d Dim tlens As Double, nlens As Double D"`%|`O Dim curv As Double, conic As Double -(6eVI Dim ok As Long >=4sPF) 5|yZEwq Sub Main b0r,h)R II.<S C '用户输入对话框 <$"7~i/X Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 b2a'KczV TextBox 220,21,40,21,.TextBox1 'default: 0 }=Hf?';m Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 Sv.KI{;v$ OKButton 40,91,90,21 r`?&m3IOP CancelButton 190,91,90,21 E2>im>p Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 vad|Rp l TextBox 220,49,40,21,.TextBox2 'default: 4 %0NL Rfp End Dialog F?!FD>L{` Dim dlg As UserDialog 8r2XGR x*:n4FZ7b ok = Dialog (dlg) !?yxh/>lM DG_}9M!DW@ If ok=0 Then 'cancel button was pressed 4#TnXxL Print "Execution cancelled." eT;AAGql End ;_x2Ymw End If t$aVe"uM 72`/d` 'Assign accommodation and pupil diameter & use defaults if field left empty G?>qd}]y0L If dlg.TextBox1 = "" Then |d5ggf.w A = 0 'Default accommodation CP}0Ri) Else Q?Wr7 A = CDbl(dlg.TextBox1) P~&O4['< End If Gj6<s./ 7^HpVcSM If dlg.TextBox2 = "" Then x]H3Y3
pupilDiam = 4 'Default pupil diameter yxqTm%?y Else QT_Srw@ pupilDiam = CDbl(dlg.TextBox2) Xe)Pg)J1 End If bC6X?m= QDP-E[ Print " " VIetcs Print "Accommodation = " & A & " Diopters" y*_K=}pk Print "Pupil Diameter = " & pupilDiam & " mm" '=$TyiU R j-jAH ' Calculate new parameters with accommodation x 96}#0' taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness xOhRTxic 2ed@HJu Rant = 12.0 - 0.4*A 'Radius of anterior lens ;.\g-`jb CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ACgt"
M.3F 0(\p<qq Rpost = -5.224557 + 0.2*A 'Radius of posterior lens (WJV.GcP1 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens X!o@f$ V_jiOT! tlens = 3.767 + 0.04*A 'Lens thickness eVTO#R*'| [;<<4k(nL nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction cY{I:MA+h@ ;jF%bE3 'Adjust parameters to account for accommodation <8$Md4r c$/<l5Uw '************************************************************************* P>|Ef~j 'Aqueous thickness (Position of Lens) >;m{{nj '************************************************************************* ^[0"vtb eID = FindFullName( "Geometry.Arizona Eye.Lens" ) Vw7WK GetCustomElement eID, entity iW'_R{)T t~q?lT parID = FindFullName( "Geometry.Arizona Eye" ) QJQJR/g $-Cy ' Delete any shift(s) in z _n7%df count = 0 rj}(muM,R While GetOperationCount(eID)>count FbmsN)mv!% GetOperation eID, count, op m!;G/s* If op.Type="ShiftZ" Then _$!`VA% DeleteOperation eID,count *aI~W^N3 count=count-1 J, r Xx: End If ]/a
g*F count=count+1 }H5/3be Wend _;#9!"& _nP)uU$ 'Set new shift in {b[tA,
> op.Type = "ShiftZ" <vL}l: r op.val1 = taq ghX:"vV{n op.parent = parID .3( ;9}; AddOperation eID, op l`* ( f9Q Print "Set aqueous humor thickness = " & taq-0.55 Xh`" URLk9PI '************************************************************************* pG~'shD~Dn 'Radius and conic constant of anterior lens 4AuH1m)< '************************************************************************* w?*jdwh,' eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) db'K!M) GetConic eID, entity, curv, conic eJW[ ] ! *l:&f_ngV SetConic eID, entity, 1/Rant, CCant Fk aXA.JE Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant UP?D@ogl< tR5tPPw '************************************************************************* 6A.P6DW 'Radius and conic constant of posterior lens >r=6A
'************************************************************************* J+lGh9G eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) z$66\/V'] GetConic eID, entity, curv, conic T30Zk*V ldYeX+J
_ SetConic eID, entity, 1/Rpost, CCpost svqvG7 Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost Nkx0CG* i0iez9B
'************************************************************************* s+'XQs^{aj 'Lens thickness (Position of posterior lens surface) ,&[7u9@ '************************************************************************* i_NJ -K #%4=)M>^ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ]H>+m
9 ![).zi+m ' Delete any z-shift(s) z|Ap\[GS count = 0 R2CQXhiJ While GetOperationCount(eID)>count ?d~]Wd !z GetOperation eID, count, op z(rK^RT If op.Type="ShiftZ" Then >IBTBh_ka DeleteOperation eID,count F(;jM( count=count-1 l1|~ End If #cO+ <1 count=count+1 /z#F,NB Wend ld95[cTP mbGcDG[HQ 'Set new z-shift TOrMXcn!/ op.Type = "ShiftZ" _F^$aZt?e op.val1 = tlens McP~}"!^ op.parent = parID Li]k7w?H AddOperation eID, op 6< >SHw Print "Set lens thickness = " & tlens Co[n--@C TW2Z=ks= '************************************************************************* DRp&IP< 'Lens index of refraction ZL=N[XW4' '************************************************************************* +YuzpuxjJ eID = FindMaterial( "Lens" ) M!#AfIyB GetModelMaterial eID, mat wA631kr 2kVp_=c mat.Nd = nlens @C=M
UT-! SetModelMaterial eID, mat XGhwrI ^ Print "Set lens index of refraction = " & nlens 7
v~ro ^aHh{BQ% '************************************************************************* QLn+R(r 'Pupil diameter Je@k iE '************************************************************************* L1{T
?aII eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) rnH}#u+ _YLUS$Zw 'Adjust pupil diameter (trimming volume inner hole) r6MB"4xd D^|7#b,zcH SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 9x[ U$B xDUaHE1co ' Adjust pupil location to just in front of the lens 1}nm2h1 I parID = FindFullName( "Geometry.Arizona Eye" ) B4^`Sw eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) 79wLT\& count = 0 U!0E_J While GetOperationCount(eID)>count hiN/S|JN8y GetOperation eID, count, op BGzO!s*@j If op.Type="ShiftZ" Then ?@DNsVwb DeleteOperation eID,count [@|be.g count=count-1 Cg3ODfe End If qv uxhz F count=count+1 `m, Ki69. Wend q]XHa ," op.Type = "ShiftZ" A9;0y jae op.val1 = taq-0.01 ;cLUnsB\ op.parent = parID K$ AB} Fvc AddOperation eID, op iadkH]w !oGQ8 e Print "Set pupil diameter = " & pupilDiam ]u0Jd#@ #w*"qn#2Uz 'Update AZ Eye subassembly Description i-.c=M eID = FindFullName( "Geometry.Arizona Eye" ) c3#q0Ma GetEntity eID, entity e9:P9Di(b entity.Description = "Accommodation = " & A & "D" ]"h=Qc SetEntity eID, entity (bvoF5% Hk9U&j$ Update AerFgQiS Print "DONE!" @[v8}D OpQ8\[X+ End Sub %t[K36,p {(Fe7,.S3 如果屈光度是4,光瞳直径是4,则会输出如下数据: vYdlSe=6G |!}wF}iLc) Accommodation = 4 Diopters :1MMa6 Pupil Diameter = 4 mm c3W
BALdh Set aqueous humor thickness = 2.81 kc Y,vl Set anterior lens radius = 10.4 and conic constant = -2.375869 ]7vf#1i< Set posterior lens radius = -4.424557 and conic constant = -3.081019 $:;%bjSI Set lens thickness = 3.927 Bm}iU~(Z` Set lens index of refraction = 1.42672 `< Yf{'* Set pupil diameter = 4 mgcN( n1 DONE! q% EC TGpSulg7 (文章来源:讯技光电)
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