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01:17NMR Spectrometers: Radiofrequency Pulses and Pulse Sequences
A pulse is a short burst of radio waves distributed over a range of frequencies that simultaneously excites all the nuclei in the sample. Upon passing a radio frequency pulse along the x-axis, the nuclei absorb energy corresponding to their Larmor frequencies and achieve resonance. This shifts the net magnetization vector from the z-axis toward the transverse plane. This angle of rotation of the magnetization vector, or the flip angle, is proportional to the duration and intensity of the pulse.
01:14Sound Waves: Resonance
Resonance is produced depending on the boundary conditions imposed on a wave. Resonance can be produced in a string under tension with symmetrical boundary conditions (i.e., has a node at each end). A node is defined as a fixed point where the string does not move. The symmetrical boundary conditions result in some frequencies resonating and producing standing waves, while other frequencies interfere destructively. Sound waves can resonate in a hollow tube, and the frequencies of the sound...
01:19Rectangular and Triangular Pulse Function
The unit rectangular pulse function is mathematically represented by a rectangular function centered at the origin with a height of one unit. This function is defined by two parameters: T, which specifies the center location of the pulse along the time axis, and τ, which determines the pulse duration.
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
For example, consider a rectangular pulse with a 5V amplitude, a 3-second duration, and centered at t=2 seconds. This pulse can be expressed using the rectangular function, written as,
01:23Parallel Resonance
The parallel RLC circuit is an arrangement where the resistor (R), inductor (L), and capacitor (C) are all connected to the same nodes and, as a result, share the same voltage across them. The parallel RLC circuit is analyzed in terms of admittance (Y), which reflects the ease with which current can flow. The admittance is given by:
01:19Concept of Resonance and its Characteristics
If a driven oscillator needs to resonate at a specific frequency, then very light damping is required. An example of light damping includes playing piano strings and many other musical instruments. Conversely, to achieve small-amplitude oscillations as in a car's suspension system, heavy damping is required. Heavy damping reduces the amplitude, but the tradeoff is that the system responds at more frequencies. Speed bumps and gravel roads prove that even a car's suspension system is not immune...
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Shape-invariant pulses in resonant linear absorbers.
Soodeh Haghgoo1, Sergey A Ponomarenko
1Department of Electrical and Computer Engineering, Dalhousie University, Halifax, NS, B3J 2X4 Canada. soodeh@dal.ca
Optics Letters
|April 20, 2012
Summary
This study theoretically describes ultrashort self-similar pulses in coherent linear absorbers. It also proposes a method for their experimental realization for optical applications.
Area of Science:
- Optics and Photonics
- Quantum Optics
Background:
- Ultrashort pulses are crucial for advanced optical technologies.
- Coherent linear absorbers exhibit unique light-matter interaction properties.
Purpose of the Study:
- To theoretically investigate the propagation dynamics of ultrashort self-similar pulses.
- To explore pulse behavior in coherent linear absorbers near optical resonance.
- To propose a feasible method for the experimental realization of these pulses.
Main Methods:
- Theoretical modeling of pulse propagation using nonlinear optical equations.
- Analysis of pulse dynamics under conditions of coherent absorption and optical resonance.
Main Results:
- Demonstrated the existence and characteristics of ultrashort self-similar pulses in this specific medium.
Conclusions:
- Ultrashort self-similar pulses can propagate in coherent linear absorbers.
- The proposed method provides a pathway for experimental verification and potential applications in ultrafast optics.