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简介 {Vj25Gt zMI0W&P M 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。 B>TI dQ eODprFkt} 模型 fqgm`4> oL69w1 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。 eS{ xma ;n-IpR#|
Table 1. AZ眼睛模型的定义 av*M# 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. [va7+=[1= 9&t!U+ 光源 hm5A@Z te b~KM 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。 6qgII~F' >X(,(mKi ~"ij,Op,3 图1. 光源和提示信息使用 9+sOSz~
P 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。 ;<yVJox )5M9Ro7 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。 rLm:qu(F1 }M I9?\"q 图2. 字母F光源的设定方法光 T'TxC) E*t0ia8 图3. 字母F在视网膜上位置点列图 U.@j!UrZ 视网膜的散射 4gNF; t,8p}2,$ 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。 #(`@D7S" Y=6b oT .7nr :P 图4. 视网膜朗伯散射设定 m ) 2t< 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。 $*Q_3]AY] Wo^r#iRko #^bkM)pc 图5. 视网膜重点采样规格设定 $ZPiM 脚本 Bi+a)_K sDH|k@K 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: Z`l97$\ "16-K%} 图6. 用户对话框的创建与编辑 z
<"7vR 图7. 用户对话框编辑器 5[Ryc[ 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。
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OG 余下的脚本计算与屈光度有关的所有参数。 ?CQ\94kO Wh,{|R[ 分析 @lau?@$ja FJN,er~T[ 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ='7n <h/\)bPB 图7. 字母F在视网膜上颜色分析 RPvOup 脚本代码 KJwkkCE/= d`|W6Do Option Explicit 'Remove this to enable non-dimensioned variables to be used. vYD>m~Qc^ {)t6DH# Dim entity As T_ENTITY P7I,xcOm Dim op As T_OPERATION O/IW.t Dim mat As T_MODELMATERIAL [G/q*a:K Dim A As Double +|OkT Dim pupilDiam As Double "mAVkq~ Dim eID As Long sg(L`P Dim parID As Long Qhnz7/a9 Dim count As Integer c?0uv2*Yh Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double #=f ]"uM< Dim tlens As Double, nlens As Double "Yn<]Pa_ Dim curv As Double, conic As Double #4{f2s[j6 Dim ok As Long ?wps_XU E\r5!45r Sub Main @NXGVmY1} -K`0`n} '用户输入对话框 -;z&"> Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 %>uGzQ61 TextBox 220,21,40,21,.TextBox1 'default: 0 x7J| Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 hGH{Xp[mW OKButton 40,91,90,21 <ZJ>jZV0* CancelButton 190,91,90,21 >qn@E?Uf Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 HnVUG4yZTD TextBox 220,49,40,21,.TextBox2 'default: 4 {sy#&m(el End Dialog [&rW+/ Dim dlg As UserDialog :y'D] ,_ x#e(&OjN7 ok = Dialog (dlg) lC6#EU; d8g3hyI5\ If ok=0 Then 'cancel button was pressed #kX=$Bzk Print "Execution cancelled." k6~k End !&C8y End If `^s(r>2 P_t8=d 'Assign accommodation and pupil diameter & use defaults if field left empty fPHv|_XM> If dlg.TextBox1 = "" Then O'm&S?> A = 0 'Default accommodation F5%-6@= Else
'TV^0D" A = CDbl(dlg.TextBox1) `4Z#/g End If -(>x@];r0 r{kV*^\E If dlg.TextBox2 = "" Then 5JI+42S
\ pupilDiam = 4 'Default pupil diameter C9Fc(Y?_ Else u *z $ I pupilDiam = CDbl(dlg.TextBox2) qo.~5
End If Tm_vo- g4d5G=y Print " " 7F3Hkvd[k Print "Accommodation = " & A & " Diopters" 96vv85g Print "Pupil Diameter = " & pupilDiam & " mm" p&_a kQj v>g1\yIw ' Calculate new parameters with accommodation Ih`n:aA taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness YjS|Ht-> s.KJYP Rant = 12.0 - 0.4*A 'Radius of anterior lens wH!]B-hn CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
v(<~:] }tx~y-QQ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens M.d{:&@`% CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens *NDLGdQqz b_Ba0h= tlens = 3.767 + 0.04*A 'Lens thickness [O [N _z lyZof_/* nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction `X^4~6/q _J
'Adjust parameters to account for accommodation fUb5KCZ GG;M/}E9 '************************************************************************* #B'WT{B$/~ 'Aqueous thickness (Position of Lens) 1y_{#,{> '************************************************************************* 4pq >R eID = FindFullName( "Geometry.Arizona Eye.Lens" ) fQuphMOl6 GetCustomElement eID, entity >6ch[W5k@ Bh2m,=`` parID = FindFullName( "Geometry.Arizona Eye" ) ,X\z#B 4_t
aCK ' Delete any shift(s) in z EE&~D~yHUL count = 0 6Om-[^ While GetOperationCount(eID)>count ?b8NEVjw GetOperation eID, count, op X^9_'T9 If op.Type="ShiftZ" Then .1|'9@]lj4 DeleteOperation eID,count $j{ynh)^ count=count-1 [rPW@|^5 End If s/sH", count=count+1 3QUe:8 Wend }tv- )zUV6U7v 'Set new shift in p$ [*GXR4 op.Type = "ShiftZ" MQ\:/]a op.val1 = taq r7ywK9UL op.parent = parID uLhamE) AddOperation eID, op A7|"0*62 Print "Set aqueous humor thickness = " & taq-0.55 c
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'************************************************************************* f^%vIB ~[ 'Radius and conic constant of anterior lens "5dh]-m n '************************************************************************* r*+9<8-ZX< eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) fU)hn GetConic eID, entity, curv, conic M_79\Gz" yg\A&0I SetConic eID, entity, 1/Rant, CCant zy$hDy0 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant X[Y!=e4z HNU[W8mg8 '************************************************************************* IUc!nxF# 'Radius and conic constant of posterior lens Sk;IAp#X9 '************************************************************************* >%[(C*Cks eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) O IewG5O GetConic eID, entity, curv, conic Mh_jlgE'd# o"n^zG SetConic eID, entity, 1/Rpost, CCpost TF=S \
Q Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost t'9E~_!C <o?qpW$,> '************************************************************************* 8<.KWr 'Lens thickness (Position of posterior lens surface) T_Y 6AII '************************************************************************* %],.?TS2V 1Kc*MS parID = FindFullName( "Geometry.Arizona Eye.Lens" )
mH8s'F %&gx@ \v ' Delete any z-shift(s) kN]#;R6 count = 0 ^x/0*t5};z While GetOperationCount(eID)>count e2B~j3-?z GetOperation eID, count, op z>y,}#D?C If op.Type="ShiftZ" Then &S|laqH DeleteOperation eID,count 0|GxOzNd count=count-1 2_F`ILCML End If h{PLyWH count=count+1 m,up37-{ Wend f"-<Z_ dOiy[4s 'Set new z-shift IRS^F;) op.Type = "ShiftZ" ( I,V+v+{Y op.val1 = tlens Y_)04dmr@[ op.parent = parID Xq)'p8C? AddOperation eID, op {g
)kT_ Print "Set lens thickness = " & tlens 5.\!k8a E-"Jgq\aC '************************************************************************* _t;w n7p 'Lens index of refraction m
CdkYN# '************************************************************************* }%XNB1/` eID = FindMaterial( "Lens" ) t"BpaA^gO GetModelMaterial eID, mat UoKBcarm >eRbasshEI mat.Nd = nlens 41C=O@9m SetModelMaterial eID, mat *i$+i Print "Set lens index of refraction = " & nlens /?J_7Lg '*~{1gG ` '************************************************************************* ^d2g"L
'Pupil diameter Y0eu^p) '************************************************************************* GzR;`,_O/ eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9td(MZ%i~N >2C;5ba 'Adjust pupil diameter (trimming volume inner hole) h2BD?y BM3)`40[] SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" i&bttSRNV z+\>e~U6J} ' Adjust pupil location to just in front of the lens 49kY]z|"w parID = FindFullName( "Geometry.Arizona Eye" ) hnY^Z_v! eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) Y*AHwc<w` count = 0 6"=e+V@ While GetOperationCount(eID)>count T[;{AXLeI GetOperation eID, count, op }h]:I'R! If op.Type="ShiftZ" Then bC@b9opD DeleteOperation eID,count R0=/
Th - count=count-1 om/gk4S2 End If Hv
IN' count=count+1 '$U"RP^( Wend 4Fz^[L}[ op.Type = "ShiftZ" :#|77b0 op.val1 = taq-0.01 |mM7P^I op.parent = parID t)v#y!Ci" AddOperation eID, op $qEJO=v <w:fR|O Print "Set pupil diameter = " & pupilDiam /y-P)3_ ~O|0.)71] 'Update AZ Eye subassembly Description 2KzKNe( eID = FindFullName( "Geometry.Arizona Eye" ) gM=~dBz GetEntity eID, entity HmiwpI entity.Description = "Accommodation = " & A & "D" @a3<fmJ SetEntity eID, entity >H%8~ Oek dZYS5_wr Update $zbg Print "DONE!" xGH%4J\ L_A|
End Sub p1D-Q7F "?il07+w% 如果屈光度是4,光瞳直径是4,则会输出如下数据: 9\n}!{@i UU !I@ Accommodation = 4 Diopters AKWw36lm Pupil Diameter = 4 mm uL= \t= Set aqueous humor thickness = 2.81 0FW=8hFp, Set anterior lens radius = 10.4 and conic constant = -2.375869 m[7a~-3:J Set posterior lens radius = -4.424557 and conic constant = -3.081019 {:dE_tqo Set lens thickness = 3.927 >/n/n{{ Set lens index of refraction = 1.42672 Vw#07P#A Set pupil diameter = 4 2Hd6 DONE! gGX/p6"
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