Curs 2 2020/2021rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 2_2020.pdfCurs 2 2020/2021 2C/1L, DCMR...
Transcript of Curs 2 2020/2021rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 2_2020.pdfCurs 2 2020/2021 2C/1L, DCMR...
![Page 1: Curs 2 2020/2021rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 2_2020.pdfCurs 2 2020/2021 2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - conf. Radu Damian Vineri 8-10, Online/Video,](https://reader033.fdocument.pub/reader033/viewer/2022052815/60a31fe36f03c61840563fe7/html5/thumbnails/1.jpg)
Curs 2 2020/2021
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2C/1L, DCMR (CDM)
Minim 7 prezente (curs+laborator)
Curs - conf. Radu Damian Vineri 8-10, Online/Video, Microsoft Teams
E – 50% din nota
probleme + (2p prez. curs) + (3 teste) + (bonus activitate) ▪ primul test C2: 16.10.2020 (t2 si t3 neanuntate)
▪ 3pz (C) ≈ +0.5p (2p max)
toate materialele permise
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2C/1L, DCMR (CDM) Laborator – conf. Radu Damian
Luni 08-14 impar, Online, Microsoft Teams
L – 25% din nota
▪ ADS, 4 sedinte aplicatii
▪ prezenta + rezultate personale
P – 25% din nota
▪ ADS, 3 sedinte aplicatii (-1? 21.12.2020)
▪ tema personala
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http://rf-opto.etti.tuiasi.ro
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acces la examene necesita parola primita prin email
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acces email/parola
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Sinapse “inginerești”
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Linii de transmisie Adaptarea de impedanţa Cuploare direcţionale Divizoare de putere Amplificatoare de microunde Filtre de microunde Oscilatoare de microunde ?
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http://rf-opto.etti.tuiasi.ro Irinel Casian-Botez: "Microunde vol. 1:
Proiectarea de circuit", Ed. TEHNOPRES, 2008
David Pozar, Microwave Engineering, Wiley; 4th edition , 2011, ISBN : 978-1-118-29813-8 (E), ISBN : 978-0-470-63155-3 (P)
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0 dBm = 1 mW 3 dBm = 2 mW 5 dBm = 3 mW 10 dBm = 10 mW 20 dBm = 100 mW -3 dBm = 0.5 mW -10 dBm = 100 W -30 dBm = 1 W -60 dBm = 1 nW
0 dB = 1 + 0.1 dB = 1.023 (+2.3%) + 3 dB = 2 + 5 dB = 3 + 10 dB = 10 -3 dB = 0.5 -10 dB = 0.1 -20 dB = 0.01 -30 dB = 0.001
dB = 10 • log10 (P2 / P1) dBm = 10 • log10 (P / 1 mW)
[dBm] + [dB] = [dBm]
[dBm/Hz] + [dB] = [dBm/Hz]
[x] + [dB] = [x]
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Operatii cu numere complexe! z = a + j · b ; j2 = -1
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abscisa – partea reala ordonata – partea imaginara oricare poate fi negativa, intregul plan, 4
cadrane
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Formula lui Euler
Reprezentare polara jezbjaz
Rxxjxe xj ;sincos
sincos jzbjaz
njnzezezznnjnnjn sincos
2sin
2cos22
1
jzezezzj
j
sincos jwzewzewezwz jjj
sincos jw
ze
w
zee
w
z
ew
ezwz jjj
j
j
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Reprezentare polara 22 baz
1sincossincos 22 xxxjxe xj
Rxe xj ;1
*2zzz
j
j
ezjz
jzjzezz
sincos
sincossincos***
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unitate de masura standard – radiani unitate de masura traditionala in microunde –
grade format zecimal (55.89°)
rad 180
180
rad
0,2
,2
0,0,arctan
0,0,arctan
0,arctan
arg
anedefinit
baa
b
baa
b
aa
b
z
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Atentie la reprezentarea unghiurilor!!
programele matematice – lucreaza standard in radiani
▪ e necesara o conversie inainte si una dupa aplicarea unei functii trigonometrice
calculatoarele (stiintifice) au posibilitatea (de obicei) de a stabili unitatea de masura pentru unghiuri
▪ e necesara verificarea unitatii de masura curente
rad 180
180
rad
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tipic
f ≈ 1÷3GHz – 300GHz
λ ≈ 1mm – 10cm
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Extremely low frequency, 3 - 30 Hz Very low frequency, 3 - 30 kHz
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Lungimea electrica a unui circuit l – lungimea fizica
E = β·l – lungimea electrica
Dependenta castigul antenei
imaginea unui obiect pe radar
lllE 2
2
rflc
lE
0
2
V, I variabile ~ inutile
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Comportarea (descrierea) unui circuit depinde de lungimea sa electrica la frecventele de interes E≈0 Kirchhoff
E>0 propagare
lllE 2
2
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Ecuatii constitutive t
BE
Jt
DH
D
0 B
tJ
ED
HB
EJ
• In vid
mH7
0 104
mF12
0 10854,8
smc 8
00
0 1099790,21
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cazuri particulare in care exista rezolvare analitica
semnale cu variaţie armonică în timp, transformata Fourier, spectru
Xjt
XeXX tj
0
dtetfg tj
degtf tj
![Page 25: Curs 2 2020/2021rf-opto.etti.tuiasi.ro/docs/files/DCMR Curs 2_2020.pdfCurs 2 2020/2021 2C/1L, DCMR (CDM) Minim 7 prezente (curs+laborator) Curs - conf. Radu Damian Vineri 8-10, Online/Video,](https://reader033.fdocument.pub/reader033/viewer/2022052815/60a31fe36f03c61840563fe7/html5/thumbnails/25.jpg)
dtetfg tj
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dtetfF tj
deGtg tj FG
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Simplificarea ecuatiilor lui Maxwell
122 JjEE
JHH 22
Xjt
XeXX tj
0
dtetfg tj
degtf tj
E
0 H
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022 EE
022 HH
j 22
γ – Constanta de propagare
Mediu lipsit de sarcini electrice
Ecuaţiile Helmoltz sau ecuaţiile de propagare
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Camp electric dupa directia Oy, prin alegerea judicioasa propagare dupa directia Oz a sistemului de referinta
zz
y eEeEE
jj2
Exista numai unda progresiva E+=> A
zj
y eAE
Camp armonic
ztjz
y eeAE
Amplitudine
Atenuare
Propagare (variatie in timp si spatiu)
Propagare
Polarizare circulara
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111
ztjzy eeCtzE
2~, EPW
222
ztjzy eeCtzE
12
1
22
22
22
1
2 zz
z
z
eeCt
eCt
P
PA
12210
1
210 log10log10][
zze
P
PdBA
121012 686.8log20][ zzezzdBA
0686.8]/[/ kmdBLA
Atenuarea se exprima de obicei in dB/km de obicei valori pozitive semnul = implicit
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HjE
Mediu fara pierderi, σ = 0
y
x
EjH
j
x
y
H
EImpedanta intrinseca a mediului
ztjz
y eeAE punctele de faza constanta: const zt
Viteza de faza
1
dt
dzv
Viteza de grup
d
d
dt
dzvg in medii dispersive unde β = β(ω)
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Viteza de faza – viteza virtuala cu care circula punctul cu o anumita faza
Viteza de grup – viteza cu care circula informatia (energia)
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In vid
Indice de refractie al mediului
3770
00
smc 8
00
0 1099790,21
0cvv g
rr
cc
0
000
11
rn
Periodicitate in spatiu
f
c00
2
fT
12
Periodicitate in timp
f
c
2
fT
12
rr f
c
00
n
cc 0
In mediu nedispersiv εr
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Laboratorul de microunde si optoelectronica http://rf-opto.etti.tuiasi.ro [email protected]