Modes - physical meaning and use

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Modes are critical in understanding wave propagation in physics, with each frequency exhibiting multiple modes influenced by boundary conditions. The discussion highlights the confusion surrounding various concepts related to modes, prompting a desire to compile a list of terms for clarity. Key topics include vector mode functions, mode locking in lasers, and multimode lasers. The conversation suggests that exploring these terms can enhance comprehension of their applications in deeper physics research. Understanding these concepts is essential for grasping the complexities of wave behavior and related phenomena.
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Modes is usually encountered in physics when we study wave propagation of any sort. Every frequency has n number of modes depending on boundary conditions - I know that much but, find it difficult to relate to so many concepts in which modes get mentioned and they baffle me at times. I want to make a list of such terms related to modes in deeper physics research areas and try to find out what they mean. To start with,
1.Vector mode functions (in context to boundary conditions)
2.Mode locking in lasers
3.Multimode laser
 
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