Laser interaction with a dielectric block

Rotelli, P.

doi:10.1140/epjd/e2010-10505-4

Cited by 13 publications

(5 citation statements)

References 26 publications

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“…For Gaussian lasers with a small beam waist with respect to the dimensions of the dielectric block, we can use the step technique of quantum mechanics [32][33][34][35][36] and give the Fresnel coefficients in terms of angles θ, ψ, and φ (see figure 2). The geometric path predicted by the Snell law, equation (11).…”

Section: The Gh Shift For Bk7 and Fused Silica Blocksmentioning

confidence: 99%

Axial dependence of optical weak measurements in the critical region

Araújo

Maia

2015

J. Opt.

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Abstract. The interference between optical beams of different polarizations plays a fundamental role in reproducing the optical analog of the electron spin weak measurement. The extraordinary point in optical weak measurements is represented by the possibility to estimate with great accuracy the Goos-Hänchen (GH) shift by measuring the distance between the peak of the outgoing beams for two opposite rotation angles of the polarizers located before and after the dielectric block. Starting from the numerical calculation of the GH shift, which clearly shows a frequency crossover for incidence near to the critical angle, we present a detailed study of the interference between s and p polarized waves in the critical region. This allows to determine in which conditions it is possible to avoid axial deformations and reproduce the GH curves. In view of a possible experimental implementation, we give the expected weak measurement curves for gaussian lasers of different beam waist sizes propagating through borosilicate (BK7) and fused silica dielectric blocks.

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Section: The Gh Shift For Bk7 and Fused Silica Blocksmentioning

confidence: 99%

Axial dependence of optical weak measurements in the critical region

Araújo

Maia

2015

J. Opt.

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“…The incident Gaussian beam (9) propagates along the z-axis and forms an angle θ with z in , normal to the first air/dielectric interface (see figure 1(a)):…”

Section: The Dielectric System Geometry and Outgoing Beammentioning

confidence: 99%

“…Gaussian beams are the simplest kinds of paraxial beams provided by a laser source. The electric field amplitude of the incident paraxial Gaussian beam is given by [9,10]…”

Section: Introductionmentioning

confidence: 99%

The asymmetric Goos–Hänchen effect

Araújo¹,

Carvalho²

2013

J. Opt.

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Abstract. We show in which conditions optical gaussian beams, propagating throughout an homogeneous dielectric right angle prism, present an asymmetric Goos-Hänchen (GH) effect. This asymmetric behavior is seen for incidence at critical angles and happens in the propagation direction of the outgoing beam. The asymmetric GH effect can be also seen as an amplification of the standard GH shift. Due to the fact that it only depends on the ratio between the wavelength and the minimal waist size of the incoming gaussian beam, it can be also used to determine one of these parameters. Multiple peaks interference is an additional phenomenon seen in the presence of such asymmetric effects.

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“…Observe that M has unit determinant, |F| 2 − |G| 2 = 1. For an incoming wave from the left, A N = 0, equation (28) gives…”

Section: ] the Previous Matrix Equation Can Be Rewritten As Followsmentioning

confidence: 99%

“…The results of this paper are an example of the physical relevance of wave packet dimensions. Interesting applications occur in particle oscillation phenomena [20][21][22][23], relativistic tunneling [24][25][26], laser interaction with dielectric blocks [27,28], and, generally speaking, in all interference based results. These features are generally neglected in the literature where only single plane waves are used.…”

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confidence: 99%

Wave and particle limit for multiple barrier tunneling

Rotelli¹

2011

J. Phys. A: Math. Theor.

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The particle approach to one-dimensional potential scattering is applied to non relativistic tunnelling between two, three and four identical barriers. We demonstrate as expected that the infinite sum of particle contributions yield the plane wave results. In particular, the existence of resonance/transparency for twin tunnelling in the wave limit is immediately obvious. The known resonances for three and four barriers are also derived. The transition from the wave limit to the particle limit is exhibit numerically. I. INTRODUCTION.The particle approach to piece-wise potential scattering is characterized by considering the reflection and transmission amplitudes, successively, at each potential discontinuity. this method, applied also in optics [1], can be used as an alternative to plane wave continuity equations for the derivation of the transmission and reflection amplitudes and find application in approximate solutions to onedimensional potential problems [2,3]. Several interesting papers have analyzed tunneling with this method [4][5][6]. However, in certain situations, this approach is the natural physical choice in the "particle limit" in which the incoming wave packets are small compared to the potentials extension. However, it must be emphasized that the approach itself does not require the use of wave packets. It predicts multiple reflections and even for a single incoming wave it generally results in infinite reflected and transmitted waves. An example of this approach is the diffusion above a single potential barrier, from which one significant consequence, otherwise mysterious, is the step limit for large barrier [7]. The first barrier reflection coefficient reproduces the step result.The alternative and standard approach to potential scattering is with a single wave analysis [8]. We refer to this as the "wave limit". It is characterized by continuity equations often best described by the use of matrices and yields a single reflected and transmitted amplitude. Due to the fact that the algebraic sum of the infinite contributions in the particle approach yields the wave result, the two methods are mathematically equivalent. However, they are not equivalent in practice because a sum of calculated terms, if finite, is an unambiguous process, but the decomposition of an expression as an infinite sum, on the other hand, is highly ambiguous, even if only one decomposition can lead to probability conservation and to the correct exit times of the separate wave packets. In the wave limit, probabilities are calculated by first summing the particle terms and then squaring the modulus. In the particle limit, the probabilities are calculated by first squaring the modulus of each term and then summing.Resonance phenomena, within the Schrödinger equation, are well known for a single barrier when considering plane waves with energy above the potential value, i.e. E > V 0 . It results in unit transmission probabilities. For a given plane wave energy there are unlimited such resonances as the barrier length increases. Mo...

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Laser interaction with a dielectric block

Cited by 13 publications

References 26 publications

Axial dependence of optical weak measurements in the critical region

Axial dependence of optical weak measurements in the critical region

The asymmetric Goos–Hänchen effect

Wave and particle limit for multiple barrier tunneling

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