Susceptibility Tensors for Nonlinear Optics

Попов, С. В.; Svirko, Yu. P.; Желудев, Н.И.

doi:10.1201/9780203737699

Cited by 12 publications

(17 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It can be shown that the absence of dissipation implies a second-order electric dipole response (Klyshko, 2011;Popov et al, 1995), We will show the reason for this by analysing the case for the second-order susceptibility.…”

Section: Figurementioning

confidence: 95%

See 1 more Smart Citation

Automatic calculation of symmetry-adapted tensors in magnetic and non-magnetic materials: a new tool of the Bilbao Crystallographic Server

Gallego

Etxebarría

Elcoro

et al. 2019

Acta Crystallogr A Found Adv

View full text Add to dashboard Cite

Two new programs, MTENSOR and TENSOR, hosted on the open-access website known as the Bilbao Crystallographic Server, are presented. The programs provide automatically the symmetry-adapted form of tensor properties for any magnetic or non-magnetic point group or space group. The tensor is chosen from a list of 144 known tensor properties gathered from the scientific literature or, alternatively, the user can also build a tensor that possesses an arbitrary intrinsic symmetry. Four different tensor types are considered: equilibrium, transport, optical and nonlinear optical susceptibility tensors. For magnetically ordered structures, special attention is devoted to a detailed discussion of the transformation rules of the tensors under the time-reversal operation 1 0 . It is emphasized that for non-equilibrium properties it is the Onsager theorem, and not the constitutive relationships, that indicates how these tensors transform under 1 0 . In this way it is not necessary to restrict the validity of Neumann's principle. New Jahn symbols describing the intrinsic symmetry of the tensors are introduced for several transport and optical properties. In the case of some nonlinear optical susceptibilities of practical interest, an intuitive method is proposed based on simple diagrams, which allows easy deduction of the action of 1 0 on the susceptibilities. This topic has not received sufficient attention in the literature and, in fact, it is usual to find published results where the symmetry restrictions for such tensors are incomplete.

show abstract

Section: Figurementioning

confidence: 95%

“…We will show the reason for this by analysing the case for the second-order susceptibility. It can be shown that the absence of dissipation implies a second-order electric dipole response (Klyshko, 2011;Popov et al, 1995),…”

Section: Figurementioning

confidence: 99%

Automatic calculation of symmetry-adapted tensors in magnetic and non-magnetic materials: a new tool of the Bilbao Crystallographic Server

Gallego

Etxebarría

Elcoro

et al. 2019

Acta Crystallogr A Found Adv

View full text Add to dashboard Cite

show abstract

“…The Si(001) surface has a

C_{4 v}

symmetric class which implies that only the following components of

χ_{ijk}^{s}

are different from zero,

χ_{zzz}^{s}, χ_{xxz}^{s} = χ_{yyz}^{s}, χ_{zxx}^{s} = χ_{zyy}^{s} .

The components of

p_{ijklm}^{strut}

different from zero for the same

C_{4 v}

symmetry class, are given in (). Then, from Eqs.…”

Section: Strain‐induced Shg At Si(001)mentioning

confidence: 88%

“…From,

χ_{ijk}^{s} = χ_{ikj}^{s}

, it follows that

p_{ijklm}^{} = p_{ikjlm}^{}

, and thus

χ_{ijk}^{σ} = χ_{ikj}^{σ}

. Tables of the components of

p_{ijklm}

are given in () for all symmetry classes. Using

χ_{ijk}^{σ}

instead of

χ_{ijk}^{s}

in Eqs.…”

Section: Phenomenological Theory Of Strain‐induced Shgmentioning

confidence: 99%

“…More complicated 3D strain fields arise when micrometer‐ or nanometer‐sized inclusions or metallization are embedded in the bulk (or deposited on the surface) of centrosymmetric substrates. In such cases, the rich rotational anisotropy and polarization‐dependence of the second‐order nonlinear response () is a potentially powerful tool for probing the structure of the strain field noninvasively with micrometer resolution. Yet, no general phenomenological theory exists that relates the structure of complex, multi‐dimensional strain fields directly to SHG observables.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Surface second harmonic generation induced by 3D strain fields

Mendoza

Cho

Shafiei

et al. 2015

Physica Status Solidi (b)

View full text Add to dashboard Cite

We present a general phenomenological model for surface second‐harmonic generation (SSHG) induced by strain fields with up to three spatial coordinates. As an example, we apply it to thermal‐mismatch strain fields around cylindrical metallic through‐silicon‐vias (TSVs) embedded in an Si(001) surface, which are widely used as interconnects between vertically stacked silicon layers to achieve 3D integration. We find that analysis of the four different combinations of s or p incoming and outgoing polarizations enables reconstruction of the strain field. In particular, the sS combination yields tensorial components of the strain field that are different from zero; from this information, the pP, sP, and pS combinations complete the analysis of the strain field.

show abstract

Nonlinear optical responses in hydrogenated graphene structures

Zapata-Peña

Anderson

Mendoza

et al. 2015

Physica Status Solidi (b)

View full text Add to dashboard Cite

Abstractauthoren We present a theoretical study of the optical spin injection, optical current injection, and second harmonic generation of two 50% hydrogenated graphene structures: C16H8‐alt and C16H8‐up. Optical spin injection, under the incidence of circularly polarized light onto nonmagnetic semiconductors, creates spin‐polarized electrons in the conduction bands. Optical current injection and second‐harmonic generation are nonlinear second‐order effects that are allowed in materials without inversion symmetry. The results are calculated in a full electronic band structure scheme within DFT in the LDA approximation. Our results show an anisotropic behavior in the optical responses of the spin, the current injection, and second harmonic generation. We obtained maximum absolute magnitudes of the degree of spin polarization of 61 and 64% for the alt and up structures, respectively, and it is also possible to optically generate an injection current coming mainly from the carbon layer on both alt and up systems. Besides, we found that both structures are excellent candidates for second harmonic generation.

show abstract

Susceptibility Tensors for Nonlinear Optics

Cited by 12 publications

References 10 publications

Automatic calculation of symmetry-adapted tensors in magnetic and non-magnetic materials: a new tool of the Bilbao Crystallographic Server

Automatic calculation of symmetry-adapted tensors in magnetic and non-magnetic materials: a new tool of the Bilbao Crystallographic Server

Surface second harmonic generation induced by 3D strain fields

Nonlinear optical responses in hydrogenated graphene structures

Contact Info

Product

Resources

About