PRINTED CIRCUIT ANTENNAS MICROSTRIP ANTENNA Lecture 2 Rectangular

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PRINTED CIRCUIT ANTENNAS (MICROSTRIP ANTENNA) Lecture 2: Rectangular Patch Dr. M. S. Bayati, Electrical

PRINTED CIRCUIT ANTENNAS (MICROSTRIP ANTENNA) Lecture 2: Rectangular Patch Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 1

LECTURE 2: INTRODUCTION Microstrip antenna and coordinate system Dr. M. S. Bayati, Electrical and

LECTURE 2: INTRODUCTION Microstrip antenna and coordinate system Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 2

LECTURE 2: METHODS OF ANALYSIS There are many methods of analysis for microstrip antennas.

LECTURE 2: METHODS OF ANALYSIS There are many methods of analysis for microstrip antennas. The most popular models are the transmission-line, cavity and full wave (which include primarily integral equations/Moment Method). The transmission-line model is the easiest of all, it gives good physical insight, but is less accurate and it is more difficult to model coupling. Compared to the transmission-line model, the cavity model is more accurate but at the same time more complex. However, it also gives good physical insight and is rather difficult to model coupling, although it has been used successfully. In general when applied properly, the full-wave models are very accurate, very versatile, and can treat single elements, finite and infinite arrays, stacked elements, arbitrary shaped elements, and coupling. However they are the most complex models and usually give less physical insight. In this chapter we will cover the transmission-line and cavity models only. Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 3

LECTURE 2: FEEDING METHODS Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: FEEDING METHODS Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 4

LECTURE 2: RECTANGULAR PATCH Transmission-line model The rectangular patch is by far the most

LECTURE 2: RECTANGULAR PATCH Transmission-line model The rectangular patch is by far the most widely used configuration. It is very easy to analyze using both the transmission-line and cavity models, which are most accurate for thin substrates. A rectangular microstrip antenna can be represented as an array of two radiating narrow apertures (slots), each of width W and height h, separated by a distance L. The transmission-line model represents the microstrip antenna by two slots, separated by a low-impedance Zc transmission line of length L. Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 5

LECTURE 2: RECTANGULAR PATCH A. Fringing Effects o The amount of fringing is a

LECTURE 2: RECTANGULAR PATCH A. Fringing Effects o The amount of fringing is a function of the dimensions of the patch and the height of the substrate. o For the principal E-plane (xy-plane) fringing is a function of the ratio of the length of the patch L to the height h of the substrate (L/h) and the dielectric constant of the substrate. o Since for microstrip antennas L/h>>1, fringing is reduced; however, it must be taken into account because it influences the resonant frequency of the antenna. The same applies for the width. Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 6

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 7

LECTURE 2: RECTANGULAR PATCH B. Effective Length, Resonant Frequency, and Effective Width C. Design

LECTURE 2: RECTANGULAR PATCH B. Effective Length, Resonant Frequency, and Effective Width C. Design Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 8

LECTURE 2: RECTANGULAR PATCH D. Conductance Dr. M. S. Bayati, Electrical and Engineering Department,

LECTURE 2: RECTANGULAR PATCH D. Conductance Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 9

LECTURE 2: RECTANGULAR PATCH E. Resonant Input Resistance 0. 48λ < L < 0.

LECTURE 2: RECTANGULAR PATCH E. Resonant Input Resistance 0. 48λ < L < 0. 49λ Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 10

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 11

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 12

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 13

LECTURE 2: RECTANGULAR PATCH Cavity Model Dr. M. S. Bayati, Electrical and Engineering Department,

LECTURE 2: RECTANGULAR PATCH Cavity Model Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 14

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 15

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 16

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 17

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 18

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 19

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University

LECTURE 2: RECTANGULAR PATCH Dr. M. S. Bayati, Electrical and Engineering Department, Razi University 20