fundamental mode

简明释义

竹动模式

英英释义

例句

1.The fundamental mode (基模) of a laser cavity determines the beam's spatial distribution.

激光腔的fundamental mode（基模）决定了光束的空间分布。

2.The analysis of the fundamental mode (基模) is crucial for understanding the system's behavior.

对fundamental mode（基模）的分析对于理解系统的行为至关重要。

3.In a vibrating string, the lowest frequency of oscillation is referred to as the fundamental mode (基模).

在振动弦中，最低的振动频率被称为fundamental mode（基模）。

4.In structural engineering, the fundamental mode (基模) of vibration can indicate potential weaknesses.

在结构工程中，振动的fundamental mode（基模）可以指示潜在的弱点。

5.Acoustic instruments often produce sound primarily in their fundamental mode (基模).

声学乐器通常主要在其fundamental mode（基模）中产生声音。

作文

In the realm of physics and engineering, the term fundamental mode refers to the simplest or primary state of vibration or oscillation in a system. This concept is crucial for understanding various phenomena, particularly in fields such as acoustics, structural engineering, and quantum mechanics. The fundamental mode serves as the baseline from which more complex modes can be derived. For instance, when a guitar string is plucked, it vibrates in its fundamental mode, producing the lowest frequency sound. This sound is characterized by a clear pitch, which is essential for musical harmony.Moreover, the fundamental mode plays a significant role in the analysis of structures. Engineers often analyze buildings and bridges to determine how they will respond to external forces, such as wind or earthquakes. The fundamental mode of vibration of a structure indicates how it will sway or oscillate during such events. Understanding this mode helps engineers design safer and more resilient structures that can withstand natural forces without collapsing.In the context of quantum mechanics, the fundamental mode can refer to the lowest energy state of a quantum system. For example, in a quantum harmonic oscillator, the fundamental mode represents the ground state, where the system possesses the least amount of energy. This concept is vital for understanding the behavior of particles at the quantum level and has implications for fields such as quantum computing and nanotechnology.The importance of the fundamental mode extends beyond theoretical applications; it also has practical implications in various technologies. For instance, in telecommunications, the fundamental mode of a fiber optic cable determines the maximum data transmission capacity. By optimizing the fundamental mode characteristics, engineers can enhance the performance of communication systems, allowing for faster and more reliable data transfer.Furthermore, the study of fundamental modes can lead to advancements in material science. Researchers investigate how different materials respond to vibrations and identify their fundamental modes to develop better materials for specific applications. This research can result in the creation of lighter, stronger, and more durable materials that are essential for modern technology.In conclusion, the concept of the fundamental mode is pivotal across various disciplines, providing insights into the behavior of physical systems. Whether in music, engineering, quantum mechanics, telecommunications, or material science, understanding the fundamental mode allows us to harness the principles of vibration and oscillation to innovate and improve our world. As we continue to explore the intricacies of these fundamental modes, we open the door to new possibilities and advancements that can shape the future of technology and science.

在物理和工程领域，术语fundamental mode指的是系统中最简单或主要的振动或振荡状态。这个概念对于理解各种现象至关重要，尤其是在声学、结构工程和量子力学等领域。fundamental mode作为基线，从中可以推导出更复杂的模式。例如，当吉他弦被拨动时，它以其fundamental mode振动，产生最低频率的声音。这种声音的特征是一种清晰的音高，对于音乐和谐至关重要。此外，fundamental mode在结构分析中也起着重要作用。工程师通常分析建筑物和桥梁，以确定它们如何响应外部力量，例如风或地震。结构的fundamental mode振动指示了它在这些事件期间将如何摇晃或振荡。理解这个模式帮助工程师设计出更安全、更有韧性的结构，使其能够抵御自然力量而不倒塌。在量子力学的背景下，fundamental mode可以指量子系统的最低能量状态。例如，在量子谐振子中，fundamental mode代表基态，其中系统具有最少的能量。这个概念对于理解粒子在量子层面的行为至关重要，并且对量子计算和纳米技术等领域有着深远的影响。fundamental mode的重要性不仅限于理论应用；它在各种技术中的实际应用也很重要。例如，在电信中，光纤电缆的fundamental mode决定了最大的数据传输能力。通过优化fundamental mode特性，工程师可以提高通信系统的性能，实现更快和更可靠的数据传输。此外，对fundamental modes的研究可以推动材料科学的发展。研究人员调查不同材料如何响应振动，并识别其fundamental modes，以开发更适合特定应用的材料。这项研究可以导致更轻、更强、更耐用的材料的创造，这对现代技术至关重要。总之，fundamental mode的概念在各个学科中都是关键，提供了对物理系统行为的深入见解。无论是在音乐、工程、量子力学、电信还是材料科学中，理解fundamental mode使我们能够利用振动和振荡的原理进行创新，改善我们的世界。随着我们继续探索这些基本模式的复杂性，我们为未来科技和科学的可能性与进步打开了大门。