-
1
-
-
70349527288
-
-
arXiv:0810.5643.
-
A. Mostafazadeh, e-print arXiv:0810.5643.
-
-
-
Mostafazadeh, A.1
-
2
-
-
33746758270
-
-
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
-
-
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
-
-
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
-
-
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
-
-
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
-
15
-
-
0342538622
-
-
10.1103/PhysRevLett.86.787;
-
C. Dembowski, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, H. Rehfeld, and A. Richter, Phys. Rev. Lett. 86, 787 (2001) 10.1103/PhysRevLett.86. 787
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 787
-
-
Dembowski, C.1
Gräf, H.-D.2
Harney, H.L.3
Heine, A.4
Heiss, W.D.5
Rehfeld, H.6
Richter, A.7
-
16
-
-
85036229731
-
-
10.1103/PhysRevE.69.056216;
-
C. Dembowski, B. Dietz, H.-D. Gräf, H. L. Harney, A. Heine, W. D. Heiss, and A. Richter, Phys. Rev. E 69, 056216 (2004) 10.1103/PhysRevE.69.056216
-
(2004)
Phys. Rev. e
, vol.69
, pp. 056216
-
-
Dembowski, C.1
Dietz, B.2
Gräf, H.-D.3
Harney, H.L.4
Heine, A.5
Heiss, W.D.6
Richter, A.7
-
18
-
-
70349552829
-
-
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
-
-
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
-
-
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
-
-
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
-
-
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
-
-
sgn (x) x/ |x| if x0 and sgn (0) 0.
-
sgn (x) x/ |x| if x0 and sgn (0) 0.
-
-
-
-
27
-
-
2342428011
-
-
10.1016/j.physrep.2004.03.002
-
J. G. Muga, J. P. Palao, B. Navarro, and I. L. Egusquiza, Phys. Rep. 395, 357 (2004). 10.1016/j.physrep.2004.03.002
-
(2004)
Phys. Rep.
, vol.395
, pp. 357
-
-
Muga, J.G.1
Palao, J.P.2
Navarro, B.3
Egusquiza, I.L.4
-
35
-
-
4243876358
-
-
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
-
-
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
-
-
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
-
-
This can be easily shown using Eq. 31.
-
This can be easily shown using Eq. 31.
-
-
-
-
40
-
-
70349551096
-
-
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
-
-
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
-
-
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
-
-
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
-
-
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.
-
-
-
|