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# A Simulator for the LWA - PowerPoint PPT Presentation

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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Presentation Transcript

Masaya Kuniyoshi (UNM)

1.Station Beam Model

2.Asymmetry Station Beam

3.Station Beam Error

4.Summary

(Leonid Kogan LWA Memo Series [21])

( 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]

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

θ[°] (angle form zenith)

Normalized Power Pattern

θ[°] (angle form zenith)

Normalized Power Pattern

θ[°] (angle form zenith)

Normalized Power Pattern

θ[°] (angle form zenith)

８°

９°

１３°

２８°

θ[°] (angle form zenith)

20MHz

50MHz

Asymmetry rate

HPBW left side/ HPBW right side

θ[°] angle from zenith

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.

θ ＝-70°

Zenith = 0 °

Beam pattern

peak

θ

(degree)

θ ＝-60 °

Zenith = 0 °

Beam pattern

peak

θ

(degree)

θ ＝-50 °

Zenith = 0 °

Beam pattern

θ

(degree)

θ ＝-40 °

Zenith = 0 °

Beam pattern

θ

(degree)

θ ＝-30 °

Zenith = 0 °

Beam pattern

θ

(degree)

θ ＝-20 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝-10 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝0 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝10 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝20 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝30 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝40 °

Zenith = 0 °

θ

θ ＝50 °

Zenith = 0 °

Beam pattern

θ

θ

(degree)

θ ＝60 °

Zenith = 0 °

Beam pattern

peak

θ

θ

(degree)

θ ＝70 °

Zenith = 0 °

Beam pattern

peak

θ

θ

(degree)

θ ＝-70 °

Grating lobe

Zenith = 0 °

λ

・57.3≒43°

d

Beam pattern

Grating lobe

θ

(degree)

θ ＝-60 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

θ ＝-50 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

θ ＝-40 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

θ ＝-30 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)

θ ＝-20 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)

θ ＝-10 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)

θ ＝0 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)

θ ＝10 °

Zenith = 0 °

Beam pattern

Grating lobe

Grating lobe

θ

(degree)

θ ＝20 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)

θ ＝30 °

Zenith = 0 °

Grating lobe

Beam pattern

θ

(degree)

θ ＝40 °

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

θ ＝50 °

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

θ ＝60 °

Grating lobe

Zenith = 0 °

Grating lobe

θ ＝70 °

Grating lobe

Zenith = 0 °

Beam pattern

Grating lobe

θ

(degree)

Station Beam

(-60,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-50,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-40,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-30,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-20,0)

Φ[°]

0

20

40

-60

θ[°]

60

(-10,0)

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60

(0,0)

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(10,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(20,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(30,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(40,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(50,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(60,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

Grating lobe

(-60,0)

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-40,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(-20,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

(20,0)

Grating lobe

Φ[°]

0

20

40

-60

θ[°]

60

Station Beam

Grating lobe

(40,0)

Φ[°]

0

20

40

-60

θ[°]

60

Grating lobe

Station Beam

(60,0)

Φ[°]

0

20

40

-60

θ[°]

60

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

２０～８０ＭＨｚ

29MHz ->172 degrees

30MHz -> 115 degrees

40MHz -> 86 degrees

50MHz -> 69 degrees

60MHz -> 57 degrees

70MHz -> 49 degrees

80MHz -> 43 degrees

20MHz 0deg 20deg 40deg 60deg

∝ P

θ

０、３０、６０°

なぜ小さいか理由も入れる

-40 degrees

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

ここにkumarからもらったシミュレーションソフトを

しかし、これは１ステーションを１００ｍと

を入れたデータである。

でシミュレーションソフトを作成することが目的。

θ

Dsinθ

D