Whispering Gallery Mode Lasers

Harayama, Takahisa; Davis, Peter; Ikeda, Kensuke S.

doi:10.1143/ptps.139.363

Cited by 9 publications

(4 citation statements)

References 3 publications

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“…Both up-and down-type Yukawa matrices can be transformed into the nearest-neighborinteraction (NNI) form by a weak-basis transformation without loosing generality [35]. Recently, many authors studied the texture of the Yukawa matrices at the m Z scale in the NNI basis [36]- [38]. E. Takasugi has further shown [39] that one of the up-or down-quark mass matrices can be transformed into either the Fritzsch form [20] or the BS form [21], while keeping the other matrix in the NNI form.…”

Section: Gut Scale Yukawa Matrix Texturementioning

confidence: 99%

Quark and lepton flavor mixings in the SU(5) grand unification theory

Hagiwara

Okamura

1999

Nuclear Physics B

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We explain the imbalance of the flavor mixing angles between the quark and the lepton sectors in the context of the SU(5) GUT with the see-saw mechanism. The quark masses and the CKM matrix elements are obtained by using, respectively, the Fritzsch and Branco−Silva-Marcos form for the up-and down-quark Yukawa matrices (y u and y d ) at the GUT scale. The charged-lepton Yukawa matrix (y e ) is the transpose of y d , modified by the Georgi-Jarlskog factor. We show that the neutrino masses and mixing angles suggested by the recent solar and atmospheric neutrinos are then obtained from a simple texture of the neutrino Yukawa matrix (y ν ) and a diagonal right-handed Majorana mass matrix at the GUT scale.The Standard Model (SM) is a successful theory. Current high energy experiments are explained within the SM. However, the SM cannot predict fermion masses and their flavor mixing. It is generally expected that there is a more fundamental theory which gives the SM as its low-energy effective theory. The grand unified theory (GUT) is among the candidates of a more fundamental theory. It is also believed that fermion masses and flavor mixings are the keys to open the door to new physics beyond the SM.Recent neutrino experiments [1]-[9] have provided evidences that there are neutrino masses and their flavor mixings. According to the atmospheric-neutrino observation [6]-[9], the lepton-flavor-mixing matrix, which we call the Maki-Nakagawa-Sakata (MNS) [10] matrix, has a large mixing angle sin 2 2θ 23 ≃ 1, where θ 23 is the mixing angle between the second and the third generations. This is in a clear contrast with the Cabibbo-Kobayashi-Maskawa (CKM) [11] quark-flavor-mixing matrix which does not exhibit such large mixings. * E-mail address: naotoshi.okamura@kek.jpIn particular, |V cb | is smaller than |V us |. The mixing angle between the second and the third generation is O(1) in the lepton sector, whereas it is O(10 −2 ) in the quark sector. This imbalance may be a clue to obtain the theory of flavor. Many attempts have been made to explain this imbalance [12]-[14].In the SU(5) GUT [15,16], the Yukawa matrix of the charged leptons (y e ) is related to that of the down-type quarks (y d ). As a consequence, there are mass relations between the charged leptons and the down-type quarks at low energies. The b-quark τ -lepton mass ratio has been reproduced in the original SU(5) model [15,17] and in its supersymmetric version [16,18]. A Yukawa matrix model which reproduces all the mass ratios between the down-type quarks and the charged leptons has also been found within the SU(5) model [19]. However, the imbalance between the quark-flavor-mixing matrix and the leptonflavor-mixing matrix has not been understood within the SU(5) theory.In this article, we study the possibility of naturally deriving the large flavor-mixing angle in the lepton sector by using suitable Yukawa matrices within the SU(5) GUT scheme. In particular, we examine the Fritzsch − Branco − Silva-Marcos (F-BS) type Yukawa matrices [20]- [22]. Texture of these m...

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Section: Gut Scale Yukawa Matrix Texturementioning

confidence: 99%

Quark and lepton flavor mixings in the SU(5) grand unification theory

Hagiwara

Okamura

1999

Nuclear Physics B

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“…First, let us briefly review how to simulate the light field in a two-dimensional microcavity with an active medium [8,9]. We assume a two-dimensional optical waveguide whose thickness is less than the wavelength, and which contains a lasing medium.…”

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confidence: 99%

“…the radiation source term. Thus, the time evolution of the TM wave of the light field obeys the two-dimensional Maxwell-Bloch equation [9].…”

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confidence: 99%

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Stable Oscillations of a Spatially Chaotic Wave Function in a Microstadium Laser

Harayama¹,

Davis²,

Ikeda

2003

Phys. Rev. Lett.

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Multimode lasing in two-dimensional fully chaotic cavity lasers

2005

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Multimode lasing in a fully chaotic cavity is investigated numerically by using a nonlinear dynamics model. We report a transition process from single-mode lasing to multimode lasing and reveal interactions among the lasing modes. In particular, both mode-pulling and mode-pushing interactions are shown to decrease the number of effective lasing modes. In addition, coexistence of different types of attractors of the final lasing states is numerically confirmed.

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Whispering Gallery Mode Lasers

Cited by 9 publications

References 3 publications

Quark and lepton flavor mixings in the SU(5) grand unification theory

Quark and lepton flavor mixings in the SU(5) grand unification theory

Stable Oscillations of a Spatially Chaotic Wave Function in a Microstadium Laser

Multimode lasing in two-dimensional fully chaotic cavity lasers

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