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Standing Waves in a Cavity

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A household microwave and lasers are examples of standing electromagnetic waves in a cavity. When two conducting metal plates are placed parallel at the nodal planes, it creates a cavity where standing waves are formed. The cavity between the two planes is analogous to a stretched string held at the points x = 0 and x = L. Here, the distance 'L' between the two planes must be an integer multiple of half of the wavelength. The wavelengths that satisfy this condition are given by:

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Efficient analysis of mode profiles in elliptical microcavity using dynamic-thermal electron-quantum medium FDTD

E H Khoo¹, I Ahmed, R S M Goh

¹Department of Electronics and Photonics, Institute of High Performance Computing, 1 Fusionopolis Way, #16-16 Connexis, 138632 Singapore.

|March 14, 2013

Summary

The dynamic-thermal electron-quantum medium finite-difference time-domain (DTEQM-FDTD) method efficiently analyzes elliptical microcavity mode profiles. GPU acceleration reduces simulation time by 300x, enabling optimized microcavity laser design for photonic circuits.

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Area of Science:

Optics and Photonics
Computational Physics

Background:

Elliptical microcavities are key components in photonic integrated circuits.
Understanding mode profiles is crucial for microcavity laser design and performance.

Purpose of the Study:

To analyze the mode profile of elliptical microcavities using the DTEQM-FDTD method.
To investigate the effect of length ratio on resonance peaks and mode excitation.
To demonstrate the efficiency of GPU implementation for DTEQM-FDTD simulations.

Main Methods:

Utilized the dynamic-thermal electron-quantum medium finite-difference time-domain (DTEQM-FDTD) method.
Varied the length ratio of the elliptical microcavity to study resonance characteristics.
Implemented the DTEQM-FDTD method on a graphic processing unit (GPU) for accelerated simulations.

Main Results:

Observed that mode profiles are dependent on the microcavity's length ratio.
Identified instances where cavity modes are excited instead of whispering gallery modes.
Achieved a 300-fold reduction in simulation time by using GPU acceleration compared to CPU.

Conclusions:

The DTEQM-FDTD method provides an efficient approach for analyzing elliptical microcavity mode profiles.
Length ratio is a critical parameter influencing mode excitation in microcavities.
GPU-accelerated DTEQM-FDTD simulations offer a powerful tool for optimizing microcavity laser design for photonic integrated circuits.