UDC 519.64 + 519.86: 53.072
CANONICAL ALIGNMENT OF OPTICAL HYSTERESIS
Abstract. The content of the study is in line with the competitive ideology of creating the element base
of digital optical computers (transphasors, optical switches, memory devices)
on a basis other than the Fabry–Perot interferometer. Mathematical models of stationary (variant I)
and nonstationary (variant II) four-beam laser interaction in optically nonlinear media are considered
in detail in the form of a system of ordinary differential equations with given boundary conditions (I)
and a system of integro-differential equations with boundary conditions (II).
The original desired functions
z (x ) (I)
and u (z, t ) , v (z, t ) (II) are introduced. As a result, the solution of problem (I) is reduced to solving
a simple transcendental equation (canonical equation of optical hysteresis), and the solution of problem (II)
is reduced to a system of two nonlinear integral equations with respect to the amplitudes
of interference patterns (canonical system of equations of nonstationary optical hysteresis).
Keywords: bistability, hysteresis, optical computer, mathematical model, laser interaction, integral equation.
FULL TEXT
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