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Volumn 80, Issue 3, 2009, Pages

Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides

Author keywords

[No Author keywords available]

Indexed keywords

BARRIER POTENTIAL; ENERGY EIGENVALUES; REFLECTION AND TRANSMISSION COEFFICIENTS; RESONANCE EFFECT; RESONANCE PHENOMENA; RESONANCE STATE; SCATTERING POTENTIALS; SCATTERING STATE; SPECTRAL SINGULARITIES; VISIBLE SPECTRA;

EID: 70349513783     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.032711     Document Type: Article
Times cited : (95)

References (44)
  • 1
    • 70349527288 scopus 로고    scopus 로고
    • arXiv:0810.5643.
    • A. Mostafazadeh, e-print arXiv:0810.5643.
    • Mostafazadeh, A.1
  • 2
    • 33746758270 scopus 로고    scopus 로고
    • 10.1088/0305-4470/39/32/S18
    • A. Mostafazadeh, J. Phys. A 39, 10171 (2006). 10.1088/0305-4470/39/32/S18
    • (2006) J. Phys. A , vol.39 , pp. 10171
    • Mostafazadeh, A.1
  • 3
    • 1342283665 scopus 로고    scopus 로고
    • 10.1088/0305-4470/37/6/034
    • W. D. Heiss, J. Phys. A 37, 2455 (2004). 10.1088/0305-4470/37/6/034
    • (2004) J. Phys. A , vol.37 , pp. 2455
    • Heiss, W.D.1
  • 6
    • 0010465259 scopus 로고
    • 10.1016/0370-1573(94)90177-5;
    • W. D. Heiss, Phys. Rep. 242, 443 (1994) 10.1016/0370-1573(94)90177-5
    • (1994) Phys. Rep. , vol.242 , pp. 443
    • Heiss, W.D.1
  • 10
    • 5444266131 scopus 로고    scopus 로고
    • 10.1023/B:CJOP.0000044002.05657.04;
    • M. V. Berry, Czech. J. Phys. 54, 1039 (2004) 10.1023/B:CJOP.0000044002. 05657.04
    • (2004) Czech. J. Phys. , vol.54 , pp. 1039
    • Berry, M.V.1
  • 12
    • 48249137769 scopus 로고    scopus 로고
    • 10.1088/1751-8113/41/24/244018;
    • M. Müller and I. Rotter, J. Phys. A 41, 244018 (2008) 10.1088/1751-8113/41/24/244018
    • (2008) J. Phys. A , vol.41 , pp. 244018
    • Müller, M.1    Rotter, I.2
  • 18
    • 70349552829 scopus 로고    scopus 로고
    • Here we only consider Hamiltonians of the form H=- (d2 / d x2) +v (x), where x is real and v (x) is a complex scattering potential.
    • Here we only consider Hamiltonians of the form H=- (d2 / d x2) +v (x), where x is real and v (x) is a complex scattering potential.
  • 20
    • 66749184063 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.102.220402
    • A. Mostafazadeh, Phys. Rev. Lett. 102, 220402 (2009). 10.1103/PhysRevLett.102.220402
    • (2009) Phys. Rev. Lett. , vol.102 , pp. 220402
    • Mostafazadeh, A.1
  • 21
    • 18744381334 scopus 로고    scopus 로고
    • 10.1088/0305-4470/38/21/L04;
    • B. F. Samsonov, J. Phys. A 38, L397 (2005) 10.1088/0305-4470/38/21/L04
    • (2005) J. Phys. A , vol.38 , pp. 397
    • Samsonov, B.F.1
  • 22
    • 23844508156 scopus 로고    scopus 로고
    • 10.1088/0305-4470/38/34/L02
    • B. F. Samsonov, J. Phys. A 38, L571 (2005). 10.1088/0305-4470/38/34/L02
    • (2005) J. Phys. A , vol.38 , pp. 571
    • Samsonov, B.F.1
  • 24
    • 33947257382 scopus 로고    scopus 로고
    • 10.1088/0305-4470/39/43/008
    • A. Mostafazadeh, J. Phys. A 39, 13495 (2006). 10.1088/0305-4470/39/43/008
    • (2006) J. Phys. A , vol.39 , pp. 13495
    • Mostafazadeh, A.1
  • 25
    • 70349521313 scopus 로고    scopus 로고
    • sgn (x) x/ |x| if x0 and sgn (0) 0.
    • sgn (x) x/ |x| if x0 and sgn (0) 0.
  • 35
    • 4243876358 scopus 로고
    • 10.1103/PhysRev.56.750
    • A. J. F. Siegert, Phys. Rev. 56, 750 (1939). 10.1103/PhysRev.56.750
    • (1939) Phys. Rev. , vol.56 , pp. 750
    • Siegert, A.J.F.1
  • 36
    • 70349518217 scopus 로고    scopus 로고
    • We use 1-z/ k2 to denote the principal value of (1-z/ k2) 1/2 whose argument belongs to [0,π).
    • We use 1-z/ k2 to denote the principal value of (1-z/ k2) 1/2 whose argument belongs to [0,π).
  • 37
    • 70349555433 scopus 로고    scopus 로고
    • For example, typical numerical schemes will produce k values with a small imaginary part. These do not correspond to scattering states and must therefore be rejected.
    • For example, typical numerical schemes will produce k values with a small imaginary part. These do not correspond to scattering states and must therefore be rejected.
  • 38
    • 70349529288 scopus 로고    scopus 로고
    • This can be easily shown using Eq. 31.
    • This can be easily shown using Eq. 31.
  • 40
    • 70349551096 scopus 로고    scopus 로고
    • Note that we use physicists' convention of expressing the time-harmonic part of the wave as e-iωt as opposed to engineers' convention that uses eiωt. This leads to a change in sign in the imaginary part of permittivity (and complex refractive index).
    • Note that we use physicists' convention of expressing the time-harmonic part of the wave as e-iωt as opposed to engineers' convention that uses eiωt. This leads to a change in sign in the imaginary part of permittivity (and complex refractive index).
  • 41
    • 35348966539 scopus 로고    scopus 로고
    • Oxford University Press, Oxford
    • A. Yariv and P. Yeh, Photonics (Oxford University Press, Oxford, 2007).
    • (2007) Photonics
    • Yariv, A.1    Yeh, P.2
  • 42
    • 70349537240 scopus 로고    scopus 로고
    • ωp2 is proportional to the difference between the number density of atoms in the ground and excited states which becomes negative due to population inversion.
    • ωp2 is proportional to the difference between the number density of atoms in the ground and excited states which becomes negative due to population inversion.
  • 43
    • 70349521312 scopus 로고    scopus 로고
    • Using MATHEMATICA and without making any special efforts we could zoom in the neighborhood of the relevant intersection point and obtain ρ and σ up to six significant digits for various values of Ω, n, and n.
    • Using MATHEMATICA and without making any special efforts we could zoom in the neighborhood of the relevant intersection point and obtain ρ and σ up to six significant digits for various values of Ω, n, and n.
  • 44
    • 70349557018 scopus 로고    scopus 로고
    • Because of the symmetry of the problem, and as we can easily verify by inserting Eq. 9 in Eq. 6, the left and right reflection (and transmission) coefficients coincide: Rr = Rl R and Tr = Tl T.
    • Because of the symmetry of the problem, and as we can easily verify by inserting Eq. 9 in Eq. 6, the left and right reflection (and transmission) coefficients coincide: Rr = Rl R and Tr = Tl T.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.