# Category: Microwaves Propagation

## Transient Response of Transmission Lines (Part I)

In our previous posts series on this section, Distributed Element Model in Transmission Lines, we analyzed the transmission lines as a function of the z coordinate, in the

## DISTRIBUTED ELEMENT MODEL IN TRANSMISSION LINES (PART III)

This is the last part of the Distributed Element Model in Transmission Lines, where we are analyzing the transmission lines as a function of the z coordinate,

## DISTRIBUTED ELEMENT MODEL IN TRANSMISSION LINES (PART II)

In our previous post in this section, we stated what we will study next to characterize the Distributed Model: The transmission lines equations Solve and exercise applying the

## Distributed element model in Transmission Lines (Part I)

In a previous post, we studied the transmission lines in the steady state. Now, keeping the assumption of no losses, we are going to study the distribution of

## STANDING WAVE DIAGRAM (PART 2: Matlab exercises)

1. GET THE MATLAB CODE Following our previous post about the Standing Wave Diagram equations and parameters, we are going to study the 3 essential examples in this tutorial.

## Standing Wave Diagram (Part 1)

In this post we are going to study the transmission lines characteristics that can be measured with the voltage amplitudes (as a function of the position) in the

## Transmission Lines in the Sinusoidal Steady State

Equations of transmission lines The partial derivative equations of transmission lines with instantaneous functions of voltage and current, v(z,t) and i(z,t), are the general equations for transmission lines. If

## Phase and group velocity higher than the speed of the light

Phase velocity higher than the speed of the light In special circumstances, the phase velocity of a wave can exceed the speed of the light, c. However,

## Group Velocity

A signal that transmits information normally have a small frequency interval (lateral bands) around the high frequency carrier. This  signal is a “frequency” group and forms a

## Phase velocity

The solutions to the Maxwell’s equations for transmission media such as transmission lines and waveguides, there are two velocities: the phase velocity and the group velocity.  We are going

## Gradient, Divergence and Curl

In this post, we are going to study three important tools for the analysis of electromagnetic fields: the gradient, divergence and curl. We will see a clear definition

## Normal incidence over conductors

The following image shows the different wave components (incidence, reflection and transmission) that we are going to study in this post: Reflection and Transmission Coefficients The reflection coefficient from

## Snell’s Law

Law of Reflection When a wave is propagating through a medium and find a surface that is a boundary to another medium, part of the wave is reflected