• 제목/요약/키워드: harmonic oscillator

검색결과 175건 처리시간 0.027초

밀리미터파 대역 제2고조파 고효율 생성을 위한 부하 임피던스의 최적화 방법 (A Method of Load Impedance Optimization for High Efficiency Millimeter-wave Range 2nd Harmonic Generation)

  • 최영규
    • 전기학회논문지
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    • 제60권8호
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    • pp.1566-1571
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    • 2011
  • The objective of this paper is to present a quantitative analysis leading to the assessment of optimum terminating impedances in the design of active frequency multipliers. A brief analysis of the basic principal of the GaAs FET frequency multiplier is presented. The analysis is outlined in bias optimization and drive power determination. Utilizing the equivalent circuit model of GaAs FET, we have simulated the optimized load impedance for the maximum output of the active frequency multipliers. The C-class and reverse C-class frequency doublers have been fabricated and the load impedances have been measured. The experimental results are in good agreement with the estimated results in the simulation with the accuracy of 90%.

CONDITIONAL INTEGRALS ON ABSTRACT WIENER AND HILBERT SPACES WITH APPLICATION TO FEYNMAN INTEGRALS

  • Chung, Dong-Myung;Kang, Soon-Ja;Lim, Kyung-Pil
    • 대한수학회지
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    • 제41권2호
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    • pp.319-344
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    • 2004
  • In this paper, we define conditional integrals on abstract Wiener and Hilbert spaces and then obtain a formula for evaluating the integrals. We use this formula to establish the existence of conditional Feynman integrals for the classes $A^{q}$(B) and $A^{q}$(H) of functions on abstract Wiener and Hilbert spaces and then specialize this result to provide the fundamental solution to the Schrodinger equation with the forced harmonic oscillator.tor.

Stability of Explicit Symplectic Partitioned Runge-Kutta Methods

  • Koto, Toshiyuki;Song, Eunjee
    • Journal of information and communication convergence engineering
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    • 제12권1호
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    • pp.39-45
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    • 2014
  • A numerical method for solving Hamiltonian equations is said to be symplectic if it preserves the symplectic structure associated with the equations. Various symplectic methods are widely used in many fields of science and technology. A symplectic method preserves an approximate Hamiltonian perturbed from the original Hamiltonian. It theoretically supports the effectiveness of symplectic methods for long-term integration. Although it is also related to long-term integration, numerical stability of symplectic methods have received little attention. In this paper, we consider explicit symplectic methods defined for Hamiltonian equations with Hamiltonians of the special form, and study their numerical stability using the harmonic oscillator as a test equation. We propose a new stability criterion and clarify the stability of some existing methods that are visually based on the criterion. We also derive a new method that is better than the existing methods with respect to a Courant-Friedrichs-Lewy condition for hyperbolic equations; this new method is tested through a numerical experiment with a nonlinear wave equation.

New Algorithm for Recursive Estimation in Linear Discrete-Time Systems with Unknown Parameters

  • Shin Vladimir;Ahn Jun-Il;Kim Du-Yong
    • International Journal of Control, Automation, and Systems
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    • 제4권4호
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    • pp.456-465
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    • 2006
  • The problem of recursive filtering far linear discrete-time systems with uncertainties is considered. A new suboptimal filtering algorithm is herein proposed. It is based on the fusion formula, which represents an optimal mean-square linear combination of local Kalman estimates with weights depending on cross-covariances between local filtering errors. In contrast to the optimal weights, the suboptimal weights do not depend on current measurements, and thus the proposed algorithm can easily be implemented in real-time. High accuracy and efficiency of the suboptimal filtering algorithm are demonstrated on the following examples: damper harmonic oscillator motion and vehicle motion constrained to a plane.

A Design of LC-tuned Sinusoidal VCOs Using OTA-C Active Inductors

  • Chung, Won-Sup;Son, Sang-Hee
    • 전기전자학회논문지
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    • 제11권3호
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    • pp.122-128
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    • 2007
  • Sinusoidal voltage-controlled oscillators (VCOs) based on Colpitts and Hartley oscillators are presented. They consist of a LC parallel-tuned circuit connected in a negative-feedback loop with an OTA-R amplifier and two diode limiters, where the inductor is simulated one realized with temperature-stable linear operational transconductance amplifiers (OTAs) and a grounded capacitor. Prototype VCOs are built with discrete components. The Colpitts VCO exhibits less than 1% nonlinearity in its current-to-frequency transfer characteristic from 4.2 to 21.7 MHz and ${\pm}$95 ppm/$^{\circ}C$ temperature drift of frequency over 0 to $70^{\circ}C$. The total harmonic distortion (THD) is as low as 2.92% with a peak-to-peak amplitude of 0.7 V for a frequency-tuning range of 10.8-32 MHz. The Hartley VCO has the temperature drift and THD of two times higher than those of the Colpitts VCO.

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Low Spurious Image Rejection Mixer for K-band Applications

  • Lee, Moon-Que;Ryu, Keun-Kwan;Kim, Hyeong-Seok
    • KIEE International Transactions on Electrophysics and Applications
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    • 제4C권6호
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    • pp.272-275
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    • 2004
  • A balanced single side-band (SSB) mixer employing a sub-harmonic configuration is designed for up and down conversions in K-band. The designed mixer uses anti-parallel diode (APD) pairs to effectively eliminate even harmonics of the local oscillator (LO) spurious signal. To reduce the odd harmonics of LO at the RF port, we employ a balanced configuration for LO. The fabricated chip shows 12$\pm$2dB of conversion loss and image-rejection ratio of about 20dB for down conversion at RF frequencies of 24-27.5GHz. As an up-conversion mode, the designed chip shows 12dB of conversion loss and image-rejection ratio of 20 ~ 25 dB at RF frequencies of 25 to 27GHz. The odd harmonics of the LO are measured below -37dBc.

주기적으로 분극 반전된 $KNbO_3$를 이용한 준위상 정합 광 매개 진동자 (Quasi-phase matched optical parametric oscillators using periodically poled $KNbO_3$ crystals)

  • Lee Gwang Jo;Kim Jung Hyeon;Im Min Ho;O Hyeon Ho;Lee Don Hui;Yun Chun Seop
    • 한국광학회:학술대회논문집
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    • 한국광학회 2003년도 제14회 정기총회 및 03년 동계학술발표회
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    • pp.230-231
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    • 2003
  • $KNbO_3$is one of the best materials for efficient nonlinear frequency conversion, due to its large nonlinear optical coefficient ($d_{33}$ = 20.6 pm/V), wide transparency range (0.4 ~ 5 $\mu$m) and freedom from photorefractive effects. Quasi-phase-matched second harmonic generation using periodically poled $KNbO_3$ (PPKN) crystals has been reported. Here we report on fabrication of PPKN and demonstration of a pulsed optical param etric oscillator (QPM OPO) pumped by an Nd:YAG laser. (omitted)

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A Variant of the Brillouin-Wigner Perturbation Theory with Epstein-Nesbet Partitioning

  • Lee, Sangyoub;Choi, Cheol Ho;Kim, Eunji;Choi, Young Kyun
    • Bulletin of the Korean Chemical Society
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    • 제34권11호
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    • pp.3279-3283
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    • 2013
  • We present an elementary pedagogical derivation of the Brillouin-Wigner and the Rayleigh-Schr$\ddot{o}$dinger perturbation theories with Epstein-Nesbet partitioning. A variant of the Brillouin-Wigner perturbation theory is also introduced, which can be easily extended to the quasi-degenerate case. A main advantage of the new theory is that the computing time required for obtaining the successive higher-order results is minimal after the third-order calculation. We illustrate the accuracy of the new perturbation theory for some simple model systems like the perturbed harmonic oscillator and the particle in a box.

저왜율을 갖는 2상정현파 전압제어 발진기에 관한 연구 (A Study on the two phase sinusoidal voltage Controlled Oscillator with Low Distortion)

  • 이성백;이윤종
    • 한국통신학회논문지
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    • 제12권5호
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    • pp.527-534
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    • 1987
  • 진동에 관한 비선형 1계연립미분방정식을 아나로그 시뮬레이션으로 2상전압제어발진을 시켜 유용성을 확인하였다. 2상신호를 각각 제곱하여 합성하는 부분과 곱셈부분의 실제회로 구성시 복잡하고 가격이 높아지므로 정류 회로와 스위칭회로로 대치하여 회로의 단순화와 가격 저렴화를 이루었다. 본 논문에서 제시된 회로는 제어 압력전압에 주파수가 정확한 비례관계를 가졌고, 응답 속도가 비교적 빠르고 또한 위상오차가 매우 적었으며 주파수비가 10:1 이상에서도 저왜율과 정진폭으로 동작하였다.

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Red Shift of the Raman (FBCARS) Excitation Profile of Iodine from the Absorption Spectrum(I)

  • Lee, Mu-Sang;Carreira, L.A.
    • Bulletin of the Korean Chemical Society
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    • 제7권1호
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    • pp.59-62
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    • 1986
  • Folded Box coherent anti-Stokes Raman spectroscopy (FBCARS) spectra of the fundamental symmetric stretch(213 $cm^{-1}$) and the first overtone(421 $cm^{-1}$) of $I_2$ have been recorded over the pump wavelength range from 495 nm to 580 nm. The lineshapes were fitted using the least squares method and the A and C term of CARS were calculated. From the fitting of A and C terms, the real(R) and imaginary(I) term intensity of CARS were calculated using harmonic oscillator program. The calculated CARS excitation profile of $I_2$ with R and I term data was about 270 $cm^{-1}$ red shifted from the absorption spectrum.