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‘‘Squeezed states’’ in Helmholtz optics

Kurt Bernardo Wolf, E.V. Kurmyshev

Open publisher page 11 citations

Abstract

Squeezed states have been described in optics with the mathematics of quantum mechanics. Yet, electromagnetic fields of a single color obey the Helmholtz equation, of which the Schr\"odinger equation is but the paraxial (parabolic) approximation. We extend the ordinary squeezed states to solutions of the Helmholtz equation that contain them as their paraxial approximation. Third-order aberration expansion and asymptotic analyses are performed on these states.

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What this paper is about

Squeezed states have been described in optics with the mathematics of quantum mechanics. Yet, electromagnetic fields of a single color obey the Helmholtz equation, of which the Schr\"odinger equation is but the paraxial (parabolic) approximation. We extend the ordinary squeezed states to solutions of the Helmholtz equation that contain them as their paraxial approximation. Third-order aberration expansion and asymptotic analyses are performed on these states.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Squeezed states have been described in optics with the mathematics of quantum mechanics. Yet, electromagnetic fields of a single color obey the Helmholtz equation, of which the Schr\"odinger equation is but the paraxial (parabolic) approximation. We extend the ordinary squeezed states to solutions of the Helmholtz equation that contain them as their paraxial approximation. Third-order aberration expansion and asymptotic analyses are performed on these states.

Key concepts: Paraxial approximation, Physics, Helmholtz equation, Geometrical optics, Quantum optics, Helmholtz free energy, Quantum mechanics, Classical mechanics

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