Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers

Park et al. showed that the Shannon entropy of the probability distribution of a single random variable for far-field profiles (FFPs) in deformed microcavity lasers can efficiently measure the directionality of deformed microcavity lasers. In this study, we instead consider two random variables of F...

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Main Authors: Kyu-Won Park, Kwon-Wook Son, Chang-Hyun Ju, Kabgyun Jeong
Format: Article
Language:English
Published: MDPI AG 2022-11-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/24/12/1737
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author Kyu-Won Park
Kwon-Wook Son
Chang-Hyun Ju
Kabgyun Jeong
author_facet Kyu-Won Park
Kwon-Wook Son
Chang-Hyun Ju
Kabgyun Jeong
author_sort Kyu-Won Park
collection DOAJ
description Park et al. showed that the Shannon entropy of the probability distribution of a single random variable for far-field profiles (FFPs) in deformed microcavity lasers can efficiently measure the directionality of deformed microcavity lasers. In this study, we instead consider two random variables of FFPs with joint probability distributions and introduce the decomposed (Shannon) entropy for the peak intensities of directional emissions. This provides a new foundation such that the decomposed entropy can estimate the degree of the output power at given FFPs without any further information.
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spelling doaj.art-b7dd67036b0645ccbf423cf35da3379e2023-11-24T14:42:04ZengMDPI AGEntropy1099-43002022-11-012412173710.3390/e24121737Decomposed Entropy and Estimation of Output Power in Deformed Microcavity LasersKyu-Won Park0Kwon-Wook Son1Chang-Hyun Ju2Kabgyun Jeong3Research Institute of Mathematics, Seoul National University, Seoul 08826, Republic of KoreaDepartment of Electrical Engineering, Yeungnam University, Gyeongsan 38541, Republic of KoreaDepartment of Electrical Engineering, Yeungnam University, Gyeongsan 38541, Republic of KoreaResearch Institute of Mathematics, Seoul National University, Seoul 08826, Republic of KoreaPark et al. showed that the Shannon entropy of the probability distribution of a single random variable for far-field profiles (FFPs) in deformed microcavity lasers can efficiently measure the directionality of deformed microcavity lasers. In this study, we instead consider two random variables of FFPs with joint probability distributions and introduce the decomposed (Shannon) entropy for the peak intensities of directional emissions. This provides a new foundation such that the decomposed entropy can estimate the degree of the output power at given FFPs without any further information.https://www.mdpi.com/1099-4300/24/12/1737decomposed entropyoutput powerdeformed microcavity laserdirectional emission
spellingShingle Kyu-Won Park
Kwon-Wook Son
Chang-Hyun Ju
Kabgyun Jeong
Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
Entropy
decomposed entropy
output power
deformed microcavity laser
directional emission
title Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
title_full Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
title_fullStr Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
title_full_unstemmed Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
title_short Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers
title_sort decomposed entropy and estimation of output power in deformed microcavity lasers
topic decomposed entropy
output power
deformed microcavity laser
directional emission
url https://www.mdpi.com/1099-4300/24/12/1737
work_keys_str_mv AT kyuwonpark decomposedentropyandestimationofoutputpowerindeformedmicrocavitylasers
AT kwonwookson decomposedentropyandestimationofoutputpowerindeformedmicrocavitylasers
AT changhyunju decomposedentropyandestimationofoutputpowerindeformedmicrocavitylasers
AT kabgyunjeong decomposedentropyandestimationofoutputpowerindeformedmicrocavitylasers