Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Golla, Dheeraj; Gupta, S. Dutta

doi:10.1007/s12043-011-0067-6

Cited by 30 publications

(20 citation statements)

References 25 publications

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“…Let us stress that the distorted beam contains information about the amplitude and phase of the complex reflection coefficient. Such Gaussian beam splittings have been reported in literature [9,15] and observed in experiment [16].…”

Section: Introductionsupporting

confidence: 82%

Novel biosensor for detecting hemoglobin and its oxidation state based on nonreciprocity in a coupled waveguide system

2012

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We study the reflection of a tightly focused Gaussian beam off a near symmetric resonant tunneling structure comprising two identical coupled waveguides. The coupled waveguides are loaded on each side by a spacer layer and a high index prism. Reflection of a Gaussian beam from such a resonant structure is associated with beam distortion and even beam splitting. We start with the distortion of the beam profile for a symmetric structure as a function of various parameters of the system. The broken spatial symmetry is introduced through the reference channel on one side and the sample channel on the other side as spacer layers. We monitor the dip in the beam profile when the two channels are filled with the sample and the reference liquid. We show that presence and absence of hemoglobin and its oxygenation states can be quantified by looking at the beam profile dip. Our results may find applications in high resolution sensing.

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Section: Introductionsupporting

confidence: 82%

Novel biosensor for detecting hemoglobin and its oxidation state based on nonreciprocity in a coupled waveguide system

2012

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“…The spatial and angular shifts do occur in the plane of incidence (GH shifts) as well as orthogonal to the plane of incidence (IF shifts). Beam shifts have been the subject of extensive studies in the past decades both theoretically and experimentally for different kind of surfaces [26][27][28][29], different beam shapes [13,[30][31][32] and they have also been recently studied for the non-monochromatic case [33]. For a detailed review and further information on this topic, we refer the reader to [14,34] and references therein.…”

Section: Introductionmentioning

confidence: 99%

Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective

2013

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We study the classical optics effects known as Goos-Hänchen and Imbert-Fedorov shifts, occurring when reflecting a bounded light beam from a planar surface, by using a quantum-mechanical formalism. This new approach allows us to naturally separate the spatial shift into two parts, one independent on orbital angular momentum (OAM) and the other one showing OAM-induced spatial-versus-angular shift mixing. In addition, within this quantum-mechanical-like formalism, it becomes apparent that the angular shift is proportional to the beams angular spread, namely to the variance of the transverse components of the wave vector. Moreover, we extend our treatment to the enhancement of beam shifts via weak measurements and relate our results to the recent experiments.

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“…In the following discussion, we will see that, as m increases, there is a large difference between ∆ m and ∆ F OT E . Even for a coherent beam, ∆ m also changes due to the finite-size effect of practical light beams [23,24]. Thus the exact expression for ∆ m for each mode should be defined as [21,22] …”

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confidence: 99%

Goos-Hänchen Shifts of Partially Coherent Light Fields

2013

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We investigate the Goos-Hänchen (GH) shifts of partially coherent fields (PCFs) by using the theory of coherence. We derive a formal expression for the GH shifts of PCFs in terms of Mercer's expansion, and then clearly demonstrate the dependence of the GH shift of each mode of PCFs on spatial coherence and beam width. We discuss the effect of spatial coherence on the resultant GH shifts, especially for the cases near the critical angles, such as totally reflection angle.PACS numbers: 42.50. Ar, 42.25.Gy, 42.30.Jf Goos-Hänchen (GH) Shift refers to a tiny (lateral) displacement, from the path expected from geometrical optics, upon total reflection [1]. This effect has been extended into other fields that involve the coherent-wave phenomena, such as neutron waves [2,3], electron waves [4,5], and spin waves [6]. It was explained by Artmann [7] that the different transverse wave vectors of a light beam undergo different phase changes and sum of these waves form a reflected beam with a lateral shift. Recently, it was shown [8] that the GH shift is the sum of Renard's conventional energy flux plus a self-interference shift. The self-interference shift originates from the interference between the incident and the reflected beams. Furthermore, it was discovered that the classical Fresnel formulas for laws of refraction and reflection of light are not applicable to partially coherent light [9]. These explanations indicate that the interference or coherence of light is very important to the GH shift.In 2008, we numerically showed the effect of spatial coherence on the change of the GH shift near the critical angles [10]. Later, an experiment [11] showed the large difference between the measured GH shift of a partially coherent LED light and the theoretical result of a coherent light. However, the very recent investigations [12][13][14][15][16] have raised an important issue "whether the spatial coherence of the partially coherent fields (PCFs) influences the GH shifts?" Although the exact numerical results, calculated from our previous theory [10], are in good agreement with the experimental data [13,14,16], it is necessary to reconsider this issue thoroughly and bring to light the role of spatial coherence on the GH shift.In this Letter, we use the exact theory of coherence to investigate the GH shift of PCFs. First we derive a formal expression to calculate the GH shift of PCFs in terms of the mode expansion of PCFs. Based on this expression, we explain the physical mechanism about the dependence of the GH shift on the spatial coherence and the beam width. Finally, we suggest a proposal for showing the new effect of the spatial coherence on the practical GH shift below the critical angles.First we derive the GH shift of PCFs based on the coherence theory [17]. For the two-dimensional PCFs, one usually uses the cross-spectral density (CSD), W (x 1 , z 1 ; x 2 , z 2 , ν), to describe its propagation, where (x 1 , z 1 ) and (x 2 , z 2 ) are the coordinates of the two points in the fields, and ν is the frequency of light....

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Goos–Hänchen shift for higher-order Hermite–Gaussian beams

Cited by 30 publications

References 25 publications

Novel biosensor for detecting hemoglobin and its oxidation state based on nonreciprocity in a coupled waveguide system

Novel biosensor for detecting hemoglobin and its oxidation state based on nonreciprocity in a coupled waveguide system

Goos–Hänchen and Imbert–Fedorov shifts from a quantum-mechanical perspective

Goos-Hänchen Shifts of Partially Coherent Light Fields

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