Have any question?
+1(714)342-0932
help@rahsoft.com
Register Login

Login with your site account

Lost your password?

Not a member yet? Register now

RahsoftRahsoft
  • Home
  • Courses

    About Courses

    • All Courses
    • My Dashboard
    • Enrolled Courses
    • Rahsoft RF Certificate
    Linear RF Power Amplifier (PA) Design Theory and Principles online course – RAHRF562

    Linear RF Power Amplifier (PA) Design Theory and Principles online course – RAHRF562

    $400.00 $300.00
    Read More
  • Company
    • About Us
    • Portfolio
    • Careers
  • Communication
    • Contact
    • FAQs
    • Blog
    • Events
  • Consultation
  • Shop
    • Home
    • Courses

      About Courses

      • All Courses
      • My Dashboard
      • Enrolled Courses
      • Rahsoft RF Certificate
      Linear RF Power Amplifier (PA) Design Theory and Principles online course – RAHRF562

      Linear RF Power Amplifier (PA) Design Theory and Principles online course – RAHRF562

      $400.00 $300.00
      Read More
    • Company
      • About Us
      • Portfolio
      • Careers
    • Communication
      • Contact
      • FAQs
      • Blog
      • Events
    • Consultation
    • Shop

    Blog

    • Home
    • Blog
    • Blog
    • Wave Propagation in Transmission Line

    Wave Propagation in Transmission Line

    • Posted by Sanchita Sarkar, Ata Sarrafinazhad, Ahsan Ghoncheh
    • Categories Blog, RF Topics
    • Date February 22, 2023
    • Comments 0 comment

    In the previous blogs, we discussed transmission line time domain equations using the phasor formula. In the first case assuming there is no reflection we showed wave propagation and second case we showed the condition of the standing waves when there is a reflection using the phasor equation.

    1. Case 1: Example to prove wave propagation
    2. Case 2: Transmission line Reflection Equation

    What is Wave Propagation in Transmission Line?

    Wave propagation in a transmission line refers to the movement of an electromagnetic wave along the line. When a voltage is applied to the input of the transmission line, an electromagnetic wave is generated that travels along the line, carrying energy and information.

    The direction of wave propagation is determined by the polarity of the voltage applied to the transmission line. If the voltage is positive at the input end of the line, the wave travels in the positive z direction (+z), which is from left to right. Conversely, if the voltage is negative at the input end of the line, the wave travels in the negative z direction (-z), which is from right to left.

    For example, suppose we have a coaxial cable with a positive voltage applied to the input end of the cable. The electromagnetic wave generated by the voltage travels in the positive z direction, which is from left to right. As the wave travels along the cable, it induces an electric field and a magnetic field that vary with time and propagate along the line.

    If the characteristic impedance of the cable is matched to the source and load impedances, the wave will travel along the line without any significant reflection or loss of energy. However, if there is a mismatch in the impedance, some of the energy will be reflected back to the source, resulting in signal distortion and loss.

    In summary, wave propagation in a transmission line refers to the movement of an electromagnetic wave along the line, carrying energy and information. The direction of wave propagation is determined by the polarity of the voltage applied to the line, with positive voltages causing the wave to travel in the positive z direction (+z) and negative voltages causing the wave to travel in the negative z direction (-z). Matching the characteristic impedance of the line to the source and load impedances is crucial for efficient transmission of signals.

    Example to show Wave Propagation

    We derived the phasor formula for our transmission line in the blog transmission line phasor equations. This is the phasor equation (1) shown below assuming that there is no reflection.

    The second part of equation (1) is our reflection showing the wave propagation in the -z direction (opposite direction). If you assume that +z is from the left to the right direction shown using the axis in the below figure, when we see this kind of wave there is no reflection.

    We proved this wave propagation using equation (2) in Transmission Line Time Domain Equations. The equation (2) is for a lossless transmission line where 𝜶 = 0. Finding the cosine wave (for example t1, t2, t3…) for each time we are going to see that this wave is shifting from left to right which proves that the first term of equation (1) is showing wave propagation in the positive direction (+z). Each time the value of t changes the wave shifts to the right side. This is called wave propagation.

    If you convert the second part of the equation (1) which is nothing but (wt-ßz), so changing the value of t=1, 2, 3…. You will see that the wave is shifting from the right to the left side which is the opposite direction (-z). The waves shown below are called flat waves because the amplitude remains constant. It remains between Vmin and Vmax which are the peak points, also the distance between the two peak points of the wavelength remains constant. The condition here is when it satisfies no reflection.

    Also, check out the blog where we showed Examples to prove wave propagation using the time domain equation.

     

    Learn more about this topic by taking the complete course ‘RF Microwave and Radio Frequency Transmission Theory Online Course – RAHRF200’. Watch the course videos for more detailed understanding. Also checkout other courses on RF system and IC design on https://rahsoft.com/courses/. Rahsoft also provides a certificate on Radio Frequency. All the courses offer step by step approach.

    Tag:Reflection equation, standing waves, Transmission line, wave propagation

    • Share:
    Sanchita Sarkar, Ata Sarrafinazhad, Ahsan Ghoncheh

    Previous post

    Transmission Line Reflection Equation
    February 22, 2023

    Next post

    Reflection and Standing Waves in Transmission Line
    February 23, 2023

    You may also like

    Screenshot 2023-02-28 at 20.48.16
    Quarter Wave Transmission Line
    28 February, 2023
    Screenshot 2023-02-28 at 16.57.43
    Special Cases of Lossless Transmission Lines
    28 February, 2023
    Screenshot 2023-02-26 at 16.07.42
    Transmission line terminated by a load
    26 February, 2023

    Leave A Reply Cancel reply

    Your email address will not be published. Required fields are marked *

    Search

    Categories

    • Blog
    • RF Design Theory and Principles – RAHRF201
    • RF System Design of Receivers
    • RF Topics
    • Transmitters & Transceivers – RAHRF409
    • Uncategorized

    Latest Courses

    RF Fundamentals,Basic Concepts and Components – RAHRF101

    RF Fundamentals,Basic Concepts and Components – RAHRF101

    $20.00 $12.00
    RF Microwave and Radio Frequency Transmission Theory Online Course – RAHRF200

    RF Microwave and Radio Frequency Transmission Theory Online Course – RAHRF200

    $20.00 $12.00
    RF Design Theory and Principles – RAHRF201

    RF Design Theory and Principles – RAHRF201

    $200.00 $45.00
    logo-rahsoft

    +1(714)342-0932

    help@rahsoft.com

    Courses

    • All Courses
    • My Dashboard
    • Enrolled Courses
    • Rahsoft RF Certificate

    Company

    • About Us
    • Portfolio
    • Careers

    Communication

    • Contact
    • FAQs
    • Blog

    Links

    • Consultation
    • Shop
    • Events

    Copyrights 2021 – Rahsoft

    • Privacy
    • Terms
    • Sitemap

    BECOME AN INSTRUCTOR?

    Join thousand of instructors and earn money hassle free!

    GET STARTED NOW