Localized Waves: A Historical and Scientific Introduction

Recami, Erasmo; Zamboni‐Rached, Michel; Hernández-Figueroa, H.E.

doi:10.1002/9780470168981.ch1

Cited by 17 publications

(40 citation statements)

References 79 publications

(174 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(5,6), where we still do not know the values of the coefficients, A q , a nd the longitudinal wavenumbers, β 1q , we use Eqs. (7,9) to calculate the reflection and transmission coefficients, Γ M q and τ M q , respectively, in function of the refractive indexes, n M , the interface positions, d M , and the longitudinal wavenumbers, β M q (still unknown).…”

Section: The Compensation Methodsmentioning

confidence: 99%

“…By using Eqs. (7) in Eqs. (9), we can find out all Γ mq and τ mq and, therefore, fully characterize the total field in each layer through Eqs.…”

Section: Reflection and Transmissionmentioning

confidence: 99%

“…(5) with ν = 0, we know that the field within each layer is given by Eqs. (7), and by using Eqs. (9) we find the reflection and transmission coefficients…”

Section: First Examplementioning

confidence: 99%

“…The resulting field within each layer is given by Eq. (7). The reflection and transmission coefficients can be found through Eqs.…”

Section: Second Examplementioning

confidence: 99%

“…previous paragraph). The resulting fields within the second and third media are calculated via Eqs (7,8),. with m = 2, 3.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Modeling the longitudinal intensity pattern of diffraction resistant beams in stratified media

Lourenço‐Vittorino¹,

Zamboni‐Rached²

2018

Appl. Opt.

View full text Add to dashboard Cite

In this paper, we study the propagation of the frozen wave (FW)-type beams through non-absorbing stratified media and develop a theoretical method capable of providing the desired spatially shaped diffraction-resistant beam in the last material medium. In this context, we also develop a matrix method to deal with stratified media with a large number of layers. Additionally, we undertake some discussion about minimizing reflection of the incident FW beam on the first material interface by using thin films. Our results show that it is indeed possible to obtain the control, on demand, of the longitudinal intensity pattern of a diffraction-resistant beam, even after it undergoes multiple reflections and transmissions at the layer interfaces. Remote sensing, medical and military applications, noninvasive optical measurements, etc., are some fields that can benefit from the method here proposed.

show abstract

Section: The Compensation Methodsmentioning

confidence: 99%

“…By using Eqs. (7) in Eqs. (9), we can find out all Γ mq and τ mq and, therefore, fully characterize the total field in each layer through Eqs.…”

Section: Reflection and Transmissionmentioning

confidence: 99%

“…(5) with ν = 0, we know that the field within each layer is given by Eqs. (7), and by using Eqs. (9) we find the reflection and transmission coefficients…”

Section: First Examplementioning

confidence: 99%

“…The resulting field within each layer is given by Eq. (7). The reflection and transmission coefficients can be found through Eqs.…”

Section: Second Examplementioning

confidence: 99%

“…previous paragraph). The resulting fields within the second and third media are calculated via Eqs (7,8),. with m = 2, 3.…”

mentioning

confidence: 99%

See 3 more Smart Citations

Modeling the longitudinal intensity pattern of diffraction resistant beams in stratified media

Lourenço‐Vittorino¹,

Zamboni‐Rached²

2018

Appl. Opt.

View full text Add to dashboard Cite

show abstract

Non‐Diffracting Waves: An Introduction

Recami

Zamboni‐Rached

Ambrosio

2013

Non‐Diffracting Waves

Self Cite

View full text Add to dashboard Cite

show abstract

Microstructured optical beams with azimuthal polarization in stratified absorbent media

Lourenço‐Vittorino

Zamboni‐Rached

2023

Micro & Optical Tech Letters

Self Cite

View full text Add to dashboard Cite

We present an analytical method to achieve highly nonparaxial, azimuthally polarized structured beams that, when propagating through an absorbing stratified media, can assume in the last semi‐infinite layer approximately any desired longitudinal intensity pattern within spatial regions few times larger than the wavelength. The possibility of managing the properties of a highly nonparaxial beam under adverse conditions, such as multiple reflections in stratified structures and energy loss to the material media, may be of great importance in many different optical applications, like, trapping and micromanipulation, remote sensing, thin films, medical devices, medical therapies, and so on.

show abstract

Localized Waves: A Historical and Scientific Introduction

Cited by 17 publications

References 79 publications

Modeling the longitudinal intensity pattern of diffraction resistant beams in stratified media

Modeling the longitudinal intensity pattern of diffraction resistant beams in stratified media

Non‐Diffracting Waves: An Introduction

Microstructured optical beams with azimuthal polarization in stratified absorbent media

Contact Info

Product

Resources

About