Re: Is it possible to simulate the interface of two lattices? Similar to a 1D lattice with internal "structure"
"Steven G. Johnson" <[email protected]> Fri, 28 Jul 2017 11:26:40 -0400
| Newsgroups | gmane.comp.science.photonic-bands |
|---|---|
| Message-ID | <[email protected]> |
--===============5740964586982022004== Content-Type: multipart/alternative; boundary="Apple-Mail=_99BE32CA-8740-4C2F-8105-21F2E644335F" --Apple-Mail=_99BE32CA-8740-4C2F-8105-21F2E644335F Content-Transfer-Encoding: quoted-printable Content-Type: text/plain; charset=us-ascii > On Jul 27, 2017, at 4:40 PM, Chris Flower <[email protected]> wrote: > I'm interested in doing bandstructure calculations for a photonic = crystal of two different lattice structures. For instance, imagine (in = 2D) a lattice of rods of radius R1 for all lattice sites with y>0, and = radius R2 for all lattice sites with y<0. (With R1 !=3D R2 of course.) >=20 > In my mind, this would require simulating a 1D lattice, where the unit = cell is infinite in the y direction, periodic in x. This is quite = similar to previous discussions on mpb-discuss about simulating bragg = reflectors. The main difference with the bragg reflector case is that = there is no internal "structure" in the y direction in the unit cell, = aka it is uniform in y. >=20 > Is a structure like this possible to create in MPB? Please let me know = if my description is unclear at all.=20 MPB could calculate things like surface states localized at the = interface (via a supercell calculation). It can't calculate things = like reflection coefficients.= --Apple-Mail=_99BE32CA-8740-4C2F-8105-21F2E644335F Content-Transfer-Encoding: quoted-printable Content-Type: text/html; charset=us-ascii <html><head><meta http-equiv=3D"Content-Type" content=3D"text/html = charset=3Dus-ascii"></head><body style=3D"word-wrap: break-word; = -webkit-nbsp-mode: space; -webkit-line-break: after-white-space;" = class=3D""><br class=3D""><div><blockquote type=3D"cite" class=3D""><div = class=3D"">On Jul 27, 2017, at 4:40 PM, Chris Flower <<a = href=3D"mailto:[email protected]" class=3D"">[email protected]</a>> = wrote:</div><div class=3D""><div dir=3D"ltr" class=3D""><span = style=3D"font-size:12.8px" class=3D"">I'm interested in doing = bandstructure calculations for a photonic crystal of two different = lattice structures. For instance, imagine (in 2D) a lattice of rods of = radius R1 for all lattice sites with y>0, and radius R2 for all = lattice sites with y<0. (With R1 !=3D R2 of course.)</span><br = style=3D"font-size:12.8px" class=3D""><br style=3D"font-size:12.8px" = class=3D""><span style=3D"font-size:12.8px" class=3D"">In my mind, this = would require simulating a 1D lattice, where the unit cell is infinite = in the y direction, periodic in x. This is quite similar to previous = discussions on mpb-discuss about simulating bragg reflectors. The main = difference with the bragg reflector case is that there is no internal = "structure" in the y direction in the unit cell, aka it is uniform in = y.</span><br style=3D"font-size:12.8px" class=3D""><br = style=3D"font-size:12.8px" class=3D""><span style=3D"font-size:12.8px" = class=3D"">Is a structure like this possible to create in MPB? Please = let me know if my description is unclear at = all. </span></div></div></blockquote><br class=3D""></div><div><br = class=3D""></div>MPB could calculate things like surface states = localized at the interface (via a supercell calculation). = It can't calculate things like reflection = coefficients.</body></html>= --Apple-Mail=_99BE32CA-8740-4C2F-8105-21F2E644335F-- --===============5740964586982022004== Content-Type: text/plain; charset="utf-8" MIME-Version: 1.0 Content-Transfer-Encoding: base64 Content-Disposition: inline X19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX19fX18KbXBiLWRpc2N1 c3MgbWFpbGluZyBsaXN0Cm1wYi1kaXNjdXNzQGFiLWluaXRpby5taXQuZWR1Cmh0dHA6Ly9hYi1p bml0aW8ubWl0LmVkdS9jZ2ktYmluL21haWxtYW4vbGlzdGluZm8vbXBiLWRpc2N1c3M= --===============5740964586982022004==--