Wave propagation in periodically-curved waveguides: the quantum-mechanical analogy

Author(s):  
D. Janner ◽  
S. Longhi ◽  
M. Marano ◽  
P. Laporta
1997 ◽  
Vol 89 (3-4) ◽  
pp. 605-632 ◽  
Author(s):  
Julius Bene ◽  
Zoltán Kaufmann ◽  
Hans Lustfeld

1990 ◽  
Vol 68 (10) ◽  
pp. 1122-1125 ◽  
Author(s):  
Nicolae Marinescu ◽  
Rudolf Nistor

The paper gives a formal analogy between the distribution of the electromagnetic field in a wave guide and microwave cavities and the quantum-mechanical probabilities distribution. We show that the wave guide of the cutoff frequency ωc acts on an electromagnetic wave as a quantum potential barrier [Formula: see text]. We also establish a nonhabitual time-independent Schrödinger equation that replaces Maxwell's equations in describing guided wave propagation.


1990 ◽  
Vol 45 (8) ◽  
pp. 953-957 ◽  
Author(s):  
Nicolae Marinescu ◽  
Rudolf Nistor

AbstractThe formal analogy between the distribution of the electromagnetic field in waveguides and microwave cavities and quantum mechanical probability distributions is put into evidence. A waveguide of a cut-off frequency ωc acts on an electromagnetic wave as a quantum potential barrier Ug = hωc. A non-habitual time independent Schrödinger equation, describing guided wave propagation, is established


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