by Din » Mon Apr 27, 2015 12:55 pm
Arturo,
All three words are colloquialisms, they pretty much mean the same thing.
Which way you flip/rotate/spin the plate depends on the ref direction. To "copy" an image is to make a hologram of a hologram. In order to do this, the wavefront from the first hologram must form the "object beam" for the second (copy) hologram. There are then a number of situations:
1. Reconstruct the first hologram in the original setup, that is, simply replace the plate in the same position and orientation in which you recorded it. In this case, the image wavefront will diverge from the face of the first hologram (so the wavefront originates from a virtual source). The second hologram will then "receive" an image from a position behind the original hologram. So, if the original hologram/object distance is h, and the second hologram/first hologram distance is h', then the image will be at h+h' from the second hologram.
2. if you illuminate the first hologram with the conjugate of the original recording beam, then the image will be real and appear at a point h in front of the hologram. Now, the image from the second hologram will be h-h' (note sign is important. If h - h'' > 0, then the image appears behind the second hologram, conversely, if h-h' <0, the image appears in front of the plate. If h -h' = 0, then the image from the second hologram appears on the plate; this is "image-planed"). In order to reconstruct using the conjugate beam, you need to reverse the direction, and divergence, of the original beam.This is easily done by reversing the hologram, rather than reversing the beam. In this case, you "flip" or "rotate" or "spin" the original hologram. So, in terms of youre diagram, if the reference came in on the x-y plane at,theta degrees (ie E = E(0)*exp{ik{x*cos(theta) + y*sin(theta)} ), then, in order to reconstruct with the conjugate beam, you flip/rotate/spin so that your dot is on the left hand side on the back. That it, the dot has moved from (x, 0, z) to (-x,(0 - plate thicknes), z). In other words, you rotate about the z axis. If the reference for the first hologram is on the y-z plane ("overhead ref"), the you rotate about the x axis.
3. If you're reconstructing with the conjugate beam, then you need to be careful to alter the beam divergence also to create the conjugate divergence. However, for a collimated beam, the conjugate of a collimated beam is also collimated. Hence, if you intend to make a copy, it makes life easier if you start with a collimated beam.
Arturo,
All three words are colloquialisms, they pretty much mean the same thing.
Which way you flip/rotate/spin the plate depends on the ref direction. To "copy" an image is to make a hologram of a hologram. In order to do this, the wavefront from the first hologram must form the "object beam" for the second (copy) hologram. There are then a number of situations:
1. Reconstruct the first hologram in the original setup, that is, simply replace the plate in the same position and orientation in which you recorded it. In this case, the image wavefront will diverge from the face of the first hologram (so the wavefront originates from a virtual source). The second hologram will then "receive" an image from a position behind the original hologram. So, if the original hologram/object distance is h, and the second hologram/first hologram distance is h', then the image will be at h+h' from the second hologram.
2. if you illuminate the first hologram with the conjugate of the original recording beam, then the image will be real and appear at a point h in front of the hologram. Now, the image from the second hologram will be h-h' (note sign is important. If h - h'' > 0, then the image appears behind the second hologram, conversely, if h-h' <0, the image appears in front of the plate. If h -h' = 0, then the image from the second hologram appears on the plate; this is "image-planed"). In order to reconstruct using the conjugate beam, you need to reverse the direction, and divergence, of the original beam.This is easily done by reversing the hologram, rather than reversing the beam. In this case, you "flip" or "rotate" or "spin" the original hologram. So, in terms of youre diagram, if the reference came in on the x-y plane at,theta degrees (ie E = E(0)*exp{ik{x*cos(theta) + y*sin(theta)} ), then, in order to reconstruct with the conjugate beam, you flip/rotate/spin so that your dot is on the left hand side on the back. That it, the dot has moved from (x, 0, z) to (-x,(0 - plate thicknes), z). In other words, you rotate about the z axis. If the reference for the first hologram is on the y-z plane ("overhead ref"), the you rotate about the x axis.
3. If you're reconstructing with the conjugate beam, then you need to be careful to alter the beam divergence also to create the conjugate divergence. However, for a collimated beam, the conjugate of a collimated beam is also collimated. Hence, if you intend to make a copy, it makes life easier if you start with a collimated beam.