Entropic measure of directional emissions in microcavity lasers

Park, Kyu-Won; Ju, Chang-Hyun; Jeong, Kabgyun

doi:10.1103/physreva.106.l031504

Cited by 3 publications

(15 citation statements)

References 35 publications

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“…The value of H T in Figure 5(a) is minimized at χ = 0.05, and its overall values are smaller than those in Figure 3(a). These results agree with our previous results [25]. However, unlike the case of the limaçon-shaped microcavity, its overall behavior exhibits a slight difference from that of the Shannon entropy of a single random variable angle θ.…”

Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...supporting

confidence: 93%

“…As shown in Figure 3(a), the value of H T is minimal at χ = 0.454, and its overall behavior is similar to the Shannon entropy of a single random variable angle θ. (See details in our previous paper [25].) This result indicates that the delocalization or complexity of the intensity distributions of the FFPs in the (x, y)-coordinates are minimized at χ = 0.454.…”

Section: W Y P 3 I K C H H E Z D 5 P C = " >mentioning

confidence: 63%

“…The degree of directional emission defined by the intensity of angle I(θ) shows a similar order of magnitude for the two different microcavity lasers, that is, directionality defined by U W , U C , or S N , and the divergence angle exhibits a similar order of magnitude in both microcavity lasers in Ref. [25]. However, the decomposed entropy H in Figure 5(b) is almost ten times larger than that of the decomposed entropy H in Figure 3(b).…”

Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...mentioning

confidence: 77%

“…The value of H T at ε = 0.058 is larger than that of H T at ε = 0.043, whereas the Shannon entropy in Ref. [25] shows the opposite behavior. This can be attributed to the fact that the primary emission route of the FFPs in the limaçonshaped microcavity hardly changes depending on the parameter χ, whereas that of the FFPs in the oval-shaped microcavity changes depending on ε.…”

Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...mentioning

confidence: 86%

“…Directional emissions have been investigated in terms of directionality and divergence angle at given FFPs so far [21][22][23][24][25]. In this sub-section, we present a method to estimate the degree of output power at given FFPs by exploiting the decomposed Shannon entropy.…”

Section: B Total and Decomposed Entropies In A Limaçon-shaped Microca...mentioning

confidence: 99%

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Decomposed entropy and estimation of output power in deformed microcavity lasers

Park¹,

Kwon-Wook²,

Ju³

et al. 2022

Preprint

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Park et al. [Phys. Rev. A 106, L031504 (2022)] 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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Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...supporting

confidence: 93%

Section: W Y P 3 I K C H H E Z D 5 P C = " >mentioning

confidence: 63%

Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...mentioning

confidence: 77%

Section: Analysis On An Oval-shaped Microcavity a Marginal And Condit...mentioning

confidence: 86%

Section: B Total and Decomposed Entropies In A Limaçon-shaped Microca...mentioning

confidence: 99%

See 3 more Smart Citations

Decomposed entropy and estimation of output power in deformed microcavity lasers

Park¹,

Kwon-Wook²,

Ju³

et al. 2022

Preprint

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Modes Trimming and Clustering in a Weakly Perturbed High‐Q Whispering Gallery Microresonator

Fu,

Gao,

Lin

et al. 2023

Laser & Photonics Reviews

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In general, a high‐quality (Q) microresonator can accommodate abundant whispering gallery modes (WGMs) with the mode number increasing with the dimensional sizes of the microresonator. Removing the unnecessary modes while reorganizing the remaining modes is of vital importance, which, however, has been proved challenging and usually results in a tradeoff with the Q of the microresonator. Here, an effective and controllable mode trimming and clustering mechanism is revealed underlying the generation of polygon and star modes in weakly perturbed tapered fiber‐coupled lithium niobate whispering gallery microresonators. Experimentally, various polygon and star modes are observed in sequence within a single microresonator by tuning the excitation wavelength or varying the coupling position between a tapered fiber and the circular microresonator, which can be well reproduced with the theoretical model. The finding offers a ubiquitous solution for a broad range of applications requiring elaborate selection and organization of the high‐Q WGMs.

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Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers

Park

Kwon-Wook

et al. 2022

Entropy

Self Cite

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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.

show abstract

Entropic measure of directional emissions in microcavity lasers

Cited by 3 publications

References 35 publications

Decomposed entropy and estimation of output power in deformed microcavity lasers

Decomposed entropy and estimation of output power in deformed microcavity lasers

Modes Trimming and Clustering in a Weakly Perturbed High‐Q Whispering Gallery Microresonator

Decomposed Entropy and Estimation of Output Power in Deformed Microcavity Lasers

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