• Title/Summary/Keyword: Traveling-Wave

Search Result 307, Processing Time 0.029 seconds

OBSERVATIONS ON A FURTHER IMPROVED ($\frac{G}{G}$) - EXPANSION METHOD AND THE EXTENDED TANH-METHOD FOR FINDING EXACT SOLUTIONS OF NONLINEAR PDES

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
    • /
    • v.30 no.1_2
    • /
    • pp.253-264
    • /
    • 2012
  • In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in the mathematical physics via the (1+1)-dimensional Boussinesq equation by using the following two methods: (i) A further improved ($\frac{G}{G}$) - expansion method, where $G=G({\xi})$ satisfies the auxiliary ordinary differential equation $[G^{\prime}({\xi})]^2=aG^2({\xi})+bG^4({\xi})+cG^6({\xi})$, where ${\xi}=x-Vt$ while $a$, $b$, $c$ and $V$ are constants. (ii) The well known extended tanh-function method. We show that some of the exact solutions obtained by these two methods are equivalent. Note that the first method (i) has not been used by anyone before which gives more exact solutions than the second method (ii).

Design of Electrodes of the Tapered Region of the Traveling-Wave Optical Modulator: SOR Method (진행파 광변조기의 Taper영역 전극 설계 : SOR기법)

  • 정석원;김창민
    • Korean Journal of Optics and Photonics
    • /
    • v.7 no.1
    • /
    • pp.77-86
    • /
    • 1996
  • We employ the SOR method to analyze CPW electrodes of Ti:$LiNbO_3$ Mach-Zehnder traveling-wave optical modulator in the tapered region of an optical modulator. In the tapered region of the modulator, we design the electrodes satisfying $Z_c=50{\Omega}$. In the modulation region, we find two find sets of design parameters. One set is for $Z_c=50{\Omega}$, $n_{eff}=2.26$ and the another is for $n_{eff}=2.2$, $Z_c=47.7{\Omega}$.

  • PDF

THE ($\frac{G'}{G}$)- EXPANSION METHOD COMBINED WITH THE RICCATI EQUATION FOR FINDING EXACT SOLUTIONS OF NONLINEAR PDES

  • Zayed, E.M.E.
    • Journal of applied mathematics & informatics
    • /
    • v.29 no.1_2
    • /
    • pp.351-367
    • /
    • 2011
  • In this article, we construct exact traveling wave solutions for nonlinear PDEs in mathematical physics via the (1+1)- dimensional combined Korteweg- de Vries and modified Korteweg- de Vries (KdV-mKdV) equation, the (1+1)- dimensional compouned Korteweg- de Vries Burgers (KdVB) equation, the (2+1)- dimensional cubic Klien- Gordon (cKG) equation, the Generalized Zakharov- Kuznetsov- Bonjanmin- Bona Mahony (GZK-BBM) equation and the modified Korteweg- de Vries - Zakharov- Kuznetsov (mKdV-ZK) equation, by using the (($\frac{G'}{G}$) -expansion method combined with the Riccati equation, where G = $G({\xi})$ satisfies the Riccati equation $G'({\xi})=A+BG^2$ and A, B are arbitrary constants.

Structural dependence of a gain saturation and noise figure in a traveling-wave semiconductor optical amplifier (진행파형 반도체 광증폭기에서 이득포화 및 잡음특성의 활성층 구조 의존성)

  • Jang, Se-Yun;Sim, Jong-In;Lee, Jeong-Seok;Kim, Ho-In;Yun, In-Guk;Kim, Seung-U;Sin, Hyeon-Cheol;Eo, Yeong-Seon
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 2004.02a
    • /
    • pp.312-313
    • /
    • 2004
  • The optical gain saturation and noise figure characteristics of 1550nm traveling-wave semiconductor optical amplifiers are analyzed experimentally and theoretically. The result shows that there is an optimum active layer thickness for high saturation output power and low noise figure.

  • PDF

40Gbps Traveling-wave Electroabsorption Modulator-integrated DFB Lasers (40Gbps 진행파형 변조기 집적 레이저)

  • Gwon, Yong-Hwan;Choe, Jung-Seon;Sim, Jae-Sik;Kim, Seong-Bok;Yun, Ho-Gyeong;Choe, Gwang-Seong
    • Proceedings of the Optical Society of Korea Conference
    • /
    • 2008.02a
    • /
    • pp.291-292
    • /
    • 2008
  • We fabricated 40Gbps electroabsorption modulator-integrated DFB lasers (EMLs). Adopting traveling-wave (TW) electrode and tilted facet improved high-frequency characteristics of EMLs. The 3dB bandwidth of E/O response for TW-EML was as large as 34 GHz, as compared with 27 GHz for lumped EML. Tilted facet formed by dry etching processes successfully reduced the optical feedback and the resonance in E/O response decreased to as small as 2.8 dB.

  • PDF

Intermodulation Distortion in Multiple Quantum-Well Electroabsorption Modulator (다중 양자 우물 구조의 전계 흡수 변조기의 혼변조 왜곡 특성)

  • Yun Youngseol;Choi Young-Wan
    • The Transactions of the Korean Institute of Electrical Engineers C
    • /
    • v.54 no.6
    • /
    • pp.293-297
    • /
    • 2005
  • Linearity is an important property of optical devices for analog communications. In this paper, we study the 3rd-order interrnodulation distortion (IMD3) of an Inp/InGaAsP multiple-quantum-well (MQW) traveling-wave type electroabsorption modulator (TW-EAM). We observe abnormal notches in the IMD3 results those were different from notches by general transfer curve of electroabsorption modulators (EAMs). We analyze the phenomena through absorption coefficients according to wavelengths and bias voltages to verify appearance of the abnormal notchs, where it can be known to result from Stark-shift and broadening. We propose the method to enhance linearity of MQW-EAMs by using these effects.

A Simple Method for Designing Traveling-Wave Electrodes with Periodic Capacitive Loads of Velocity-Matched Distributed Photodetectors (속도정합 분포형 광검출기의 주기적인 부하를 갖는 진행파형 전극의 간편한 설계방법)

  • 오재필;이상선
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.12 no.3
    • /
    • pp.451-461
    • /
    • 2001
  • We present a simple design method of velocity-matched traveling-wave (TW) electrode with periodic capacitive loads. Once matching impedance and optical phase velocity are defined, the width and separation of coplanarstrip (CPS) and the magnitude and period of capacitive load are determined analytically. Calculation results of velocity-matched TW electrodes on GaAs substrates show bandwidths of more than 100 GHz.

  • PDF

Characteristic Analysis of Linear Induction Motor Considering Multi-Region Traveling-wave problems (다중층 해석법을 이용한 직선형 유도전동기의 특성 해석)

  • Jang, Seok-Myeong;Cho, Sung-Kook;Lee, Sung-Ho;Cho, Han-Wook;Kweon, Jung-Ki
    • Proceedings of the KIEE Conference
    • /
    • 2003.07b
    • /
    • pp.1033-1035
    • /
    • 2003
  • Linear induction motor with multilayer region of the single-sided is analyzed considering multi region traveling wave problem. A hybrid method of analysis consisting of field analysis in conjunction with the multilayer transfer matrix concept with adjustment of secondary iron permeability to match the tangential magnetizing field in each layer is developed.

  • PDF

Fabrication of two sided stator of traveling wave rotary USM (양면 Teeth구조를 가지는 진행파 회전형 초음파 모터의 고정자 설계 및 제작)

  • Oh, Jin-Heon;Lim, Jong-Nam;Lee, Jong-Sub;Lim, Kee-Joe
    • Proceedings of the KIEE Conference
    • /
    • 2007.11a
    • /
    • pp.96-97
    • /
    • 2007
  • A stator of ultrasonic motor of high torque with a new configuration is proposed. The stator designed newly is two sided vibrator consisting of toothed metal disk with piezoelectric ceramic ring bonded on both face of disk. which generates a flexural traveling wave along the circumference of disk. it produces a large vibrating force and amplitude because the vibrator is sandwiched by two piezoelectric ring. The finite element method was used to compute the vibration mode of the stator with a outer diameter of 48mm. A 6th vibration mode was chosen as operation mode with resonance frequency about 72kHz. According to the design, the prototype stator was fabricated and its performance was measured.

  • PDF

Temperature-dependent Electrical Characteristics of Traveling Wave Electro-absorption Modulator (온도 변화에 따른 진행파 전극형 광 변조기의 전기적 특성 변위에 관한 연구)

  • Rhew, Keun-Ho;Yun, Il-Gu
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 2006.06a
    • /
    • pp.63-64
    • /
    • 2006
  • Recently, researches for high-speed optical devices have been increased to provide mass data transmission and high-speed optical communication. Optical modulator in the transmission link is one of the crucial devices in total optical network system and it can affect a great effect to the whole transmission properties. In this paper, traveling wave electro-absorption modulator (TWEAM) is examined to ensure high efficiency in the RF range and wide bandwidth. In addition, the temperature-dependence electrical characteristics of TWEAM is investigated. Temperature dependent property variations were characterized using I-V and C-V measurement.

  • PDF