Transverse mode
Transverse Mode
A transverse mode of an electromagnetic wave is a particular electromagnetic field pattern of radiation measured in a plane perpendicular (transverse) to the direction of propagation. Transverse modes occur in both optical resonators and waveguides.
Types of Transverse Modes
Hermite-Gaussian Modes
Hermite-Gaussian modes are solutions to the paraxial wave equation in Cartesian coordinates. They are typically used to describe the modes of a laser beam in a rectangular cavity. The modes are denoted by two integers, \(m\) and \(n\), which represent the number of nodes in the horizontal and vertical directions, respectively.
Laguerre-Gaussian Modes
Laguerre-Gaussian modes are solutions to the paraxial wave equation in cylindrical coordinates. These modes are characterized by two indices: the radial index \(p\) and the azimuthal index \(l\). The azimuthal index \(l\) represents the number of times the phase changes by \(2\pi\) in a full rotation around the beam axis.
Transverse Electromagnetic Modes
Transverse electromagnetic (TEM) modes are characterized by having no electric or magnetic field component in the direction of propagation. The most common TEM mode is the TEM\(_{00}\) mode, which has a Gaussian intensity profile and is the fundamental mode of a laser beam.
Applications
Transverse modes are crucial in the design and operation of laser systems. The mode structure affects the beam quality, coherence, and focusing properties of the laser. Understanding and controlling transverse modes is essential for applications in optical communication, laser cutting, and medical laser systems.
Related Pages
References
- Saleh, B. E. A., & Teich, M. C. (1991). Fundamentals of Photonics. Wiley.
- Siegman, A. E. (1986). Lasers. University Science Books.
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Transverse_mode
Laguerre-Gaussian mode
TEM mode plot
Hermite-Gaussian mode
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