Hysteresis Effects on a Non-uniform Transmission Line with Induced Quantum Mechanical Atomic Transitions

  • L. Kumar
  • V. Shankar Pandey
  • H. Parthasarathy
  • V. Shrimali
Original Paper


This study describes the effect of hysteresis on the generation of the higher harmonics in the line voltage and current in a non-uniform transmission line when we include a quadratic non-linear term having memory to account for the hysteresis effect in the inductance part of line. The simulational analysis using MATLAB is presented which works with a non-uniform line having hysteresis. These simulations are based on a theoretical spatial Fourier analysis combined with perturbation theory which is used without bothering about source and load. The line differential equations are solved approximately in the space- time-frequency domain using perturbation theory and the numerical computations have been carried out for the voltage and current amplitude characteristics. In Appendix 1, some theoretical explanations that support our non-linear memory-based hysteresis model based on Landau’s equation of precession of a magnetic moment in a magnetic field are included. This paper also includes a brief derivation of atomic transition probability produced by e-m radiation from the transmission line falling on an atom in the far field zone. This calculation enables us to derive maximum likelihood estimation(MLE) of the hysteresis parameters by measuring which atomic transitions have occurred.


Non-uniform transmission line Perturbation theory Non-linear hysteresis and memory effect Volterra series Transition probability Quantum mechanical aspects of hysteresis 


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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Department of Electronics and Communication EngineeringNational Institute of TechnologyDelhiIndia
  2. 2.Department of PhysicsNational Institute of TechnologyDelhiIndia
  3. 3.Division of Electronics and Communication EngineeringNetaji Subhas Institute of TechnologyDelhiIndia
  4. 4.Department of Electronics and Communication EngineeringG.B. Pant Engineering CollegeDelhiIndia

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