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EE 41139. Microwave Technique. 2. Resistive Divider . a three-port force divider can be coordinated at all ports utilizing lumped resistorsconsider the circuit chart underneath: . EE 41139. Microwave Technique. 3. Resistive Divider . the data impedance ZI at V is equivalent to where Z is the impedance investigating a Zo/3 resistor took after by a 50 W transmission line

### Presentation Transcript

Slide 1

﻿Address 7 Power Divider Quadrature (90 o ) Hybrid Coupled Line Directional Couplers The 180 o Hybrid Microwave Technique

Slide 2

Resistive Divider a three-port power divider can be coordinated at all ports utilizing lumped resistors consider the circuit outline beneath: Microwave Technique

Slide 3

Resistive Divider the info impedance Z I at V is equivalent to where Z is the impedance investigating a Z o/3 resistor took after by a 50 W transmission line the component of 2 is because of two parallel lines of equivalent impedance Microwave Technique

Slide 4

Resistive Divider the information impedance at V 1 is thusly given by Which is coordinated to the transmission line Microwave Technique

Slide 5

Resistive Divider because of symmetry, every one of the 3 ports are coordinated, i.e., input control at Port 1 will be similarly separated between Port 2 and Port 3 Microwave Technique

Slide 6

Resistive Divider if the voltage at Port 1 is equivalent to V 1 , the voltage V at the intersection is equivalent to Microwave Technique

Slide 7

Resistive Divider from voltage division once more, the voltages at Port 2 and Port 3 are the transmission from Port 1 to 2 is in this way given by Microwave Technique

Slide 8

Resistive Divider Due to symmetry, the disseminating grid is given by Microwave Technique

Slide 9

Resistive Divider take note of that the framework is equal because of symmetry, it is not a unitary lattice because of the resistive misfortune the information influence at Port 1 is given by while the yield influence at Port 2 and Port 3 are both , half of the information influence is dispersed by the three resistors Microwave Technique

Slide 10

The Wilkinson Power Divider take note of that the S 23 and S 32 in the resistive divider are nonzero, i.e., input influence from Port 2 can be coupled to Port 3 and the other way around It can be demonstrated that the Wilkinson influence divider can be coordinated at all ports with port seclusion, i.e., S 23 and S 32 are both zero Microwave Technique

Slide 11

The Wilkinson Power Divider the Wilkinson influence divider can be made to give discretionary influence division, in any case, we will focus on the equivalent influence division Microwave Technique

Slide 12

The Wilkinson Power Divider it is helpful to standardize the trademark impedance to 1 so that the Wilkinson influence divider circuit is given by Microwave Technique

Slide 13

The Wilkinson Power Divider take note of that the transmission line at Port 1 is supplanted by two parallel resistors with a standardized estimation of 2 each Microwave Technique

Slide 14

The Wilkinson Power Divider it will be demonstrated that Z is equivalent to and r=2 to break down this circuit, it is advantageous to utilize the even and odd symmetry the last answer is gotten by joining the outcomes from even-and odd-mode examination Microwave Technique

Slide 15

Even Mode Analysis when Vg2=Vg3, there is no present experiencing the resistor r/2 as V 2 and V 3 have a similar potential; along these lines, these resistors can be evacuated Microwave Technique

Slide 16

Even Mode Analysis we can improve the circuit by just consider half of the circiut Microwave Technique

Slide 17

Even Mode Analysis investigating Port 2, we have Patch 2 is coordinated, when and in this way Z = ; here the transmission line goes about as a quarter-wave transformer Microwave Technique

Slide 18

Even Mode Analysis all the information influence at Port 2 will be conveyed to Port 1, i.e., S 22 = 0 to discover S 12 , let us consider the transmission line Microwave Technique

Slide 19

Even Mode Analysis The voltage alone the line is given by at x = 0, V(x) =V 2 and at x= l/4, V=V 1 the reflection coefficient G is given by and Microwave Technique

Slide 20

Even Mode Analysis substituting Z = , we have Microwave Technique

Slide 21

Even Mode Analysis because of symmetry, we likewise have and From voltage division, Microwave Technique

Slide 22

Odd Mode Analysis when Vg2=-Vg3, the voltage will change from Vg2 at Port 2 to - Vg2 at Port 3 the voltage must be zero at the point on the plane of symmetry Microwave Technique

Slide 23

Odd Mode Analysis we can rearrange the circuit by establishing the circuit at the plane of symmetry Microwave Technique

Slide 24

Odd Mode Analysis investigating Port 2, we have a shortcircuited l/4 line in parallel with a r/2 resistor, the info impedance peruses Port 2 is coordinated when and hence, r=2; here the transmission line changes over a short out to an open circuit Microwave Technique

Slide 25

Odd Mode Analysis all the information influence at Port 2 will be conveyed to the r/2 resistor, and none to Port 1, i.e., = 0, because of symmetry, we additionally have From voltage division, the dissipating lattice can be acquired from the even-and odd-mode comes about Microwave Technique

Slide 26

Odd Mode Analysis since Ports 2 and 3 are coordinated, they are likewise zero for both even and odd mode Microwave Technique

Slide 27

The Quadrature (90 o ) Hybrid quadrature mixtures are 3 dB directional couplers with a 90 o stage contrast in the yields Microwave Technique

Slide 28

The Quadrature (90 o ) Hybrid with every one of the ports coordinated, influence entering Port 1 will be similarly partitioned between Port 2 and Port 3 with a 90 o stage distinction between the two no influence is coupled to Port 4 Microwave Technique

Slide 29

The Quadrature (90 o ) Hybrid the scrambling framework is given by the diffusing framework can be acquired effortlessly by utilizing even-odd mode examination Microwave Technique

Slide 30

The Quadrature (90 o ) Hybrid the circuit of the 90 o crossover is given underneath the real reaction can be gotten by the aggregate of the even and odd excitations Microwave Technique

Slide 31

The Quadrature (90 o ) Hybrid At the arrangement of symmetry, for even symmetry, the stubs end at An and B with an open circuit for odd symmetry, the stubs end at An and B with a short out the length of the stubs are l/8 Microwave Technique

Slide 32

The Quadrature (90 o ) Hybrid characterize the even and odd reflection and transmission coefficients for a two-port system as G e,o and T e,o individually the disseminating parameters are given by Microwave Technique

Slide 33

The Quadrature (90 o ) Hybrid the examination is helpfully exhibited by falling ABCD networks Microwave Technique

Slide 34

The Quadrature (90 o ) Hybrid the shunt stubs are l/8 , the permission at An is , tan  = 1 for even symmetry, Y L = 0, Y A = j (standardized) for odd symmetry, Y A = - j (standardized) Microwave Technique

Slide 35

The Quadrature (90 o ) Hybrid for even mode, the ABCD framework of the open circuit shunt stub is Microwave Technique

Slide 36

The Quadrature (90 o ) Hybrid the ABCD framework of the arrangement stub is Microwave Technique

Slide 37

The Quadrature (90 o ) Hybrid the ABCD network from A to B is given by Microwave Technique

Slide 38

The Quadrature (90 o ) Hybrid ABCD framework can be changed over into scrambling parameters Microwave Technique

Slide 39

The Quadrature (90 o ) Hybrid for the odd mode, the ABCD framework from A to B is given by Microwave Technique

Slide 40

The Quadrature (90 o ) Hybrid the dispersing parameters are given by Port 1 is coordinated, half influence transmitted to Port 2 with - 90 o stage move Port 4 disconnected, half influence transmitted to Port 3 with - 180 o stage move Microwave Technique

Slide 41

The Quadrature (90 o ) Hybrid because of the quarter-wave transformer, the transfer speed of the 90 o mixture is restricted to 10-20% this outline can be adjusted for unequal influence division Microwave Technique

Slide 42

Coupled Line Directional Couplers when two unshielded transmission lines are near one another, influence can be coupled between the lines Microwave Technique

Slide 43

Coupled Line Directional Couplers C11 and C22 are the self capacitance without the other line C12 is the common capacitance between the two lines without the ground plane Microwave Technique

Slide 44

Coupled Line Directional Couplers for the even mode, the electric field has even symmetry and the field lines of one transmission line repulse those of the other line, consequently, C12 is viably open-circuited Microwave Technique

Slide 45

Coupled Line Directional Couplers the trademark impedance for the even mode is for the odd mode, the electric field have an odd symmetry about the symmetry plane and a voltage invalid exists between the two strip conduits this is adequately putting a ground plane between the conveyors Microwave Technique

Slide 46

Coupled Line Directional Couplers the successful capacitance between either strip channel and ground is the trademark impedance for the odd mode is the transmission lines are expected TEM lines, this is valid for stripline however just roughly valid for microstrip line Microwave Technique

Slide 47

Coupled Line Directional Couplers a solitary segment coupled line coupler is appeared underneath Microwave Technique

Slide 48

Coupled Line Directional Couplers the information impedance at Port 1 of the coupler is given by Microwave Technique

Slide 49

Coupled Line Directional Couplers the information impedance for the even and odd modes are given by Microwave Technique

Slide 50

Coupled Line Directional Couplers by voltage division, we have Microwave Technique

Slide 51

Coupled Line Directional Couplers the information impedance is given by Microwave Technique

Slide 52

Coupled Line Directional Couplers take note of that the info impedance ought to be coordinated to Z o , we need to pick thus that this condition is fulfilled Microwave Technique

Slide 53

Coupled Line Directio