A Simulator for the LWA
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A Simulator for the LWA. Masaya Kuniyoshi (UNM). Outline. 1.Station Beam Model 2.Asymmetry Station Beam 3.Station Beam Error 4.Summary. (Aaron Cohen LWA Memo Series [55]). 256 dipoles. (Leonid Kogan LWA Memo Series [21]). 2π. ( D ・ u ). Ψ =. j. j. λ. 2π. ( D ・ S ). Φ =. j.

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A Simulator for the LWA

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A simulator for the lwa

A Simulator for the LWA

Masaya Kuniyoshi (UNM)


A simulator for the lwa

Outline

1.Station Beam Model

2.Asymmetry Station Beam

3.Station Beam Error

4.Summary


A simulator for the lwa

(Aaron Cohen LWA Memo Series [55])


A simulator for the lwa

256 dipoles

(Leonid Kogan LWA Memo Series [21])


A simulator for the lwa

( D・ u )

Ψ =

j

j

λ

( D・ S )

Φ =

j

j

λ

= Zenith

S (0,0 )

S (10,0 )

Simulation model for a station beam

255

E(θ,φ)=ΣGaussian(θ,φ)exp(iP )exp(Ψ-Φ)+Noise

j

j

j

j=0

Gaussian(θ,φ) = individual primary beam

Station beam

Station beam

φ[degree]

φ[degree]

θ[degree]

θ[degree]


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Symmetry

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Asymmetry

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Asymmetry

Normalized Power Pattern

θ[°] (angle form zenith)


A simulator for the lwa

Normalized Power Pattern

8°

9°

13°

28°

θ[°] (angle form zenith)


A simulator for the lwa

80MHz

20MHz

50MHz

Asymmetry rate

HPBW left side/ HPBW right side

θ[°] angle from zenith


A simulator for the lwa

θ

Dsinθ

D

As the angle θgoes from 0 to π/2,

the value of cosθ(differentiation of sinθ) gets smaller.

As a result, the beam becomes asymmetric.

This effect increases as the frequency decreases.


A simulator for the lwa

θ =-70°

Zenith = 0 °

Beam pattern

peak

θ

(degree)


A simulator for the lwa

θ =-60 °

Zenith = 0 °

Beam pattern

peak

θ

(degree)


A simulator for the lwa

θ =-50 °

Zenith = 0 °

Beam pattern

θ

(degree)


A simulator for the lwa

θ =-40 °

Zenith = 0 °

Beam pattern

θ

(degree)


A simulator for the lwa

θ =-30 °

Zenith = 0 °

Beam pattern

θ

(degree)


A simulator for the lwa

θ =-20 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =-10 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =0 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =10 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =20 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =30 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =40 °

Zenith = 0 °

θ


A simulator for the lwa

θ =50 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)


A simulator for the lwa

θ =60 °

Zenith = 0 °

Beam pattern

peak

θ

θ

(degree)


A simulator for the lwa

θ =70 °

Zenith = 0 °

Beam pattern

peak

θ

θ

(degree)


A simulator for the lwa

θ =-70 °

Grating lobe

Zenith = 0 °

λ

・57.3≒43°

d

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

θ =-60 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

θ =-50 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

θ =-40 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

θ =-30 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)


A simulator for the lwa

θ =-20 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)


A simulator for the lwa

θ =-10 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)


A simulator for the lwa

θ =0 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)


A simulator for the lwa

θ =10 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)


A simulator for the lwa

θ =20 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)


A simulator for the lwa

θ =30 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)


A simulator for the lwa

Grating lobe

θ =40 °

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

Grating lobe

θ =50 °

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

θ =60 °

Grating lobe

Zenith = 0 °

Grating lobe


A simulator for the lwa

θ =70 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)


A simulator for the lwa

Station beam at 20MHz

Station Beam

(-60,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(-50,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(-40,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(-30,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(-20,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

(-10,0)

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

(0,0)

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(10,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(20,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(30,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(40,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(50,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 20MHz

Station Beam

(60,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

Grating lobe

(-60,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

(-40,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

(-20,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

(20,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Station Beam

Grating lobe

(40,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Station beam at 60MHz

Grating lobe

Station Beam

(60,0)

Φ[°]

0

20

40

-60

θ[°]

60


A simulator for the lwa

Summary

1. Asymmetry rate of a station beam → beam elevation & observing frequency

2.The direction error of a station beam → beam elevation & primary beam

Future Plan

@ Addition of a real dipole beam pattern to the simulator

@ Addition of band widths to the simulator

@ Dipole configuration to remove the grating lobes

@

@

★Completion of the simulator for the LWA


A simulator for the lwa

同じ方向を見た場合

20~80MHz


A simulator for the lwa

The gap between beams.

29MHz ->172 degrees

30MHz -> 115 degrees

40MHz -> 86 degrees

50MHz -> 69 degrees

60MHz -> 57 degrees

70MHz -> 49 degrees

80MHz -> 43 degrees


A simulator for the lwa

20MHz Station Beam


A simulator for the lwa

3D one station beam figure

20MHz 0deg 20deg 40deg 60deg


A simulator for the lwa

HPBW

∝ P

θ


A simulator for the lwa

規格化バージョン

0、30、60°


A simulator for the lwa

zenith

なぜ小さいか理由も入れる

軸を消してもいいかも!

-40 degrees


A simulator for the lwa

We need a simulator because there is no LWA station.

If you get the simulator, you could find some problems in LWA before the construction.


A simulator for the lwa

ここにkumarからもらったシミュレーションソフトを

改造してLWA100mバージョンにした

最終的な(クリーン後)を入れる

最終的にこのようなソフトを作りたい

しかし、これは1ステーションを100mと

考えた時の、実際のステーションの位置

を入れたデータである。

実際に256ダイポールからなるステーションビーム

でシミュレーションソフトを作成することが目的。


A simulator for the lwa

θ

Dsinθ

D


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