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简介 a7zcIwk
'{ gI^oU4mq 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。 f"7O "6 F:@70(<w% 模型 g8qgk:} wN1niR' 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。 &qpr*17T ]D[DU]K Table 1. AZ眼睛模型的定义 eAv4FA4g 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. +/,icA}PI @k[R/,#'[t 光源 FuI73 Q_* "SRz 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。 )[0T16 t@u7RL*n:< f Vb-$ 图1. 光源和提示信息使用 N\:.
M 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。 @1*ohdHH 4wC+S9I#E^ 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。 g?-lk5 \fA{1 图2. 字母F光源的设定方法光 yFDv6yJ. ~gB>) ] 图3. 字母F在视网膜上位置点列图 ^O^l(e!3 视网膜的散射 )*4fzo 8} =JKR^cK 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。 'YNT8w/3 TIp:FW[ >2bKSh 图4. 视网膜朗伯散射设定 *`ZH` V 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。 T,|
1g6 i4^o59}8 (Qa/EkE^*w 图5. 视网膜重点采样规格设定 -S3MH1TZ 脚本 w"R:\@ F aW>6NDq( 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: ^G6RjJxqp8 ;&1V0U,fx 图6. 用户对话框的创建与编辑 [9Ss#~ 图7. 用户对话框编辑器 h/~n\0,J/ 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。 iD<(b`S 余下的脚本计算与屈光度有关的所有参数。 &f&z_WU jDQZQ NS 分析 rn<PR* =Zi2jL?On 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 gx%|Pgd >JiltF7H0 图7. 字母F在视网膜上颜色分析 g!-,] 脚本代码 eImn+_ N3 X7s
`U5'l Option Explicit 'Remove this to enable non-dimensioned variables to be used. #dM9pc jh y@\V+ Dim entity As T_ENTITY K)J(./ Dim op As T_OPERATION =$]uoA Dim mat As T_MODELMATERIAL >nzdnF_&zW Dim A As Double !?|Th5e Dim pupilDiam As Double {mAU3x Dim eID As Long o7|eMe?<t Dim parID As Long % LJs Dim count As Integer 5}`_x+$%(` Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double lV%N Dim tlens As Double, nlens As Double ,_Z+8 Dim curv As Double, conic As Double OoWyPdC+P Dim ok As Long iezO9` [7[0^ad Sub Main EVoEszR 9(@\&>) '用户输入对话框 =Q.^c.sw Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 s0PrbL%_` TextBox 220,21,40,21,.TextBox1 'default: 0 je!-J8{ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 v8y1b% OKButton 40,91,90,21 >Q(3*d > CancelButton 190,91,90,21 I
:vs;- Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >uSy TextBox 220,49,40,21,.TextBox2 'default: 4 KQ~i<1&j End Dialog KN* Dim dlg As UserDialog uvrB5=u 5O\*h;U 6 ok = Dialog (dlg) y~FV2$ 78/Zk}I] If ok=0 Then 'cancel button was pressed uuQ(& Print "Execution cancelled." ;cQ6g`
bM\ End @7B$Yy# End If Z4lO?S5%J /Z$&pqs! 'Assign accommodation and pupil diameter & use defaults if field left empty rnF/H=I/ If dlg.TextBox1 = "" Then <kCU@SK A = 0 'Default accommodation U-|NY Else Z:*76PP, A = CDbl(dlg.TextBox1) R00eisd End If 1&-
</G# ;1a~pF S If dlg.TextBox2 = "" Then -YCOP0 pupilDiam = 4 'Default pupil diameter -:na:Vsi Else 6b:tyQ pupilDiam = CDbl(dlg.TextBox2) 49vcoHlf End If -q*i_r:, ZSG9t2qlv Print " " <>8WQn,K Print "Accommodation = " & A & " Diopters" 9o+)?1\ Print "Pupil Diameter = " & pupilDiam & " mm" MgY0q?.S= 2K3{hxB ' Calculate new parameters with accommodation ' hs2RSq taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness TTKs3iTXz sIxTG y. Rant = 12.0 - 0.4*A 'Radius of anterior lens PBp^|t]E> CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens lMBLIB]i fP.
6HF_p_ Rpost = -5.224557 + 0.2*A 'Radius of posterior lens HbxL:~:}J CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens %;rHrDP(> F 9@h|#an tlens = 3.767 + 0.04*A 'Lens thickness u4/kR $GTU$4u nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction D`$hPYK|_ ;9c<K 'Adjust parameters to account for accommodation +>r/ 0b +w+}b^4 '************************************************************************* BYMi6wts 'Aqueous thickness (Position of Lens) i ~{Ufi '************************************************************************* |%'
nVxc4r eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 3 yB!M GetCustomElement eID, entity "\3B^ e, 6,0_)O}\b parID = FindFullName( "Geometry.Arizona Eye" ) GhIKvX_N Y4v|ko`l% ' Delete any shift(s) in z 9T*v9d count = 0 HlH64w2^R While GetOperationCount(eID)>count %y@Hh= GetOperation eID, count, op {qN 5MsY If op.Type="ShiftZ" Then ~1>.A(,=z DeleteOperation eID,count U15H@h count=count-1 :>Ay^{vf= End If w.\&9]P3~ count=count+1 D?NbW @] Wend LILQ\I<<' ,"HL~2:~ 'Set new shift in :(M(>4t op.Type = "ShiftZ" vy\RcP op.val1 = taq "-+\R}q$ op.parent = parID T-U}QM_e AddOperation eID, op _t^{a]/H Print "Set aqueous humor thickness = " & taq-0.55 oyYR-4m\ `wDl<[V '************************************************************************* Yi$vg 'Radius and conic constant of anterior lens *U
P@9D '************************************************************************* ' <@3i[M eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7G/1VeVjB GetConic eID, entity, curv, conic $3s@}vLd i:OK8Q{VI SetConic eID, entity, 1/Rant, CCant \uaJ@{Vug Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant % a@>_ V 7Ek-2M '************************************************************************* USM4r!x 'Radius and conic constant of posterior lens K*X_FJ '************************************************************************* 0 g?z&? eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) ?'KL11@R GetConic eID, entity, curv, conic d~JKH&x< wfq7ob4^ SetConic eID, entity, 1/Rpost, CCpost \cUC9/
b Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost T^Ze3L] K otrX '************************************************************************* $>u*}X9 'Lens thickness (Position of posterior lens surface) yL2o}ZbS '************************************************************************* Jc|6& A^y|J`k| parID = FindFullName( "Geometry.Arizona Eye.Lens" ) \uza=e no9;<]4 ' Delete any z-shift(s) ,Q
HU_jt count = 0 vJ-q*qM1 While GetOperationCount(eID)>count +i@y@<l:+ GetOperation eID, count, op d;>#Sxf If op.Type="ShiftZ" Then 3<
2}V DeleteOperation eID,count 'gTb A?+@5 count=count-1 2-C!jAfd End If --|Wh^i>? count=count+1 .U?'i< Wend h3z{(-~y 'i4_`^:+ 'Set new z-shift w[IE op.Type = "ShiftZ" S&b*rA02zp op.val1 = tlens Q=/</| op.parent = parID zhpt%7So AddOperation eID, op o!{w"K Print "Set lens thickness = " & tlens |ayVjqJ* oBzfbg8p '************************************************************************* {:]9Q Tq 'Lens index of refraction LRb{hUt= '************************************************************************* s0k`p<q eID = FindMaterial( "Lens" ) @M5#S7q"; GetModelMaterial eID, mat I~Zh@d% ;I}kQ!q mat.Nd = nlens y6[If cN SetModelMaterial eID, mat * Of4o Print "Set lens index of refraction = " & nlens X@LRsg <F`>,Pm '************************************************************************* ~,5gUl?Il 'Pupil diameter }DK7'K '************************************************************************* -1UD0( eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 6u7?dG'4 b{]z
wpf 'Adjust pupil diameter (trimming volume inner hole) Z^IPZF /eOzXCSws SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ]2\VweV ] 0B2#
d ' Adjust pupil location to just in front of the lens ),ma_{$N parID = FindFullName( "Geometry.Arizona Eye" ) j{9D{ eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }7
c[Q($K count = 0 |(q9" While GetOperationCount(eID)>count Y<Fz)dQo GetOperation eID, count, op A#95&kJpy If op.Type="ShiftZ" Then 8_tK4PwP DeleteOperation eID,count #R.-KUW: count=count-1 ( 8c9 /7h End If kT'u1q$3Vo count=count+1 Gq }U|Z Wend ; o0&`b? op.Type = "ShiftZ" s#tZg op.val1 = taq-0.01 !=:$lzS^ op.parent = parID TG+VEL |T AddOperation eID, op k+8q{5>A< yX0dbW~@y Print "Set pupil diameter = " & pupilDiam < VSA nEkR1^30 'Update AZ Eye subassembly Description zOa_X~!@ eID = FindFullName( "Geometry.Arizona Eye" ) x*nSHb GetEntity eID, entity OC<5E121>Y entity.Description = "Accommodation = " & A & "D" Hr]h
Jc SetEntity eID, entity *Ie7{EhJ' M #=]
k Update ?Vdia:
Print "DONE!" o)2W`i & 2g>SHS@1> End Sub ,]cD o17ekML 如果屈光度是4,光瞳直径是4,则会输出如下数据: -cSP_1 FTQ%JTgT Accommodation = 4 Diopters pn.T~"% Pupil Diameter = 4 mm *?Kr*]dnLl Set aqueous humor thickness = 2.81 :E@3Vl#U Set anterior lens radius = 10.4 and conic constant = -2.375869 OI0;BBZ Set posterior lens radius = -4.424557 and conic constant = -3.081019 ],JEBt Set lens thickness = 3.927 |Clut~G Set lens index of refraction = 1.42672 =<X?sj5 Set pupil diameter = 4 eQD)$d_5 DONE! isZA oYVu }c}|
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