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   Frequently
  Asked Questions 
  Polarization Controllers 
  1. How many fiber loops are needed in each waveplate? 
  2. What options are available regarding the values of each
  waveplate? 
  3. Why does the FPC-1/2/3 and MPC-1 have 3 waveplates? 
  4. Is full coverage of the Poincaré sphere achieved using only
  the ¼- and ½-waveplate combination? 
  5. Each of the controller's waveplates are described as
  'approximate' ¼- and ½-waveplates. Textbook proofs are show with exact ¼- and
  ½ waveplates. How do these non-exact waveplates affect the coverage of the
  Poincaré sphere? 
  6. Is there a significant difference between these waveplate
  configurations? In other words, why chose one configuration over another? 
  7. What is the resolution on the surface of the Poincaré sphere? 
  8. What extinction-ratio can be achieved with the MPC-1? 
  9. How does FiberControl's 2-channel MPC-1, having a total of 6
  independently controllable quarter-waveplates with a resolution of 0.15 deg each,
  compare to Agilent's 11896 (4Q-waveplates design with 0.18 deg each)? 
  Polarization Scramblers  
  Polarization Scrabmlers 
  1. What are the primary differences between the PS-700 and
  the RCPS-600/B? 
  2. Do either of these scramblers have GPIB control? 
  3. What version of LabView are the drivers? 
  4. I have two wavelengths one at 1300nm and the other at
  1550nm. Can I use one PS-700 scrambler? 
  5. Can the PS-700 be used at 980nm? 
  6. Can the PS-700 be used to perform PDL measurements? 
  7. Do you have any reliability data on your fiber coils wound
  on the PZT cylinder? Or more specifically, if your have FIT data from your
  polarization scrambler that is related to the fiber coil/PZT assembly based
  on the units in the field. 
  8. What is the PMD and PDL for the PS-700? 
  9. What is meant by the AM Modulation specification which says
  < 3 percent? 
  10. What is the DOP dependence on wavelength for a given
  configuration of the scrambler? 
  · Polarization Controllers: 
  Q1.) How many fiber loops are needed in each waveplate? 
  A1.) The number of fiber loops depends on the desired amount of
  birefringence. See the following curves that correspond to your device and
  wavelength. 
  Q2.) What options are available regarding the values of
  each waveplate? 
  A2.) With the FPC-1/2/3, the end-user can configure the waveplates
  approximately as ¼:¼:¼ or ¼:½:¼. The standard waveplate configurations for
  the MPC-1 are either an approximate ¼:¼:¼-wave or ¼:½:¼-wave. 
  Q3.) Why does the FPC-1/2/3 and MPC-1 have 3 waveplates? 
  A3.) Three waveplates are necessary to transform any arbitrary input
  states-of-polarization (SOP) into any other arbitrary output SOP. 
  Q4.) Is full coverage of the Poincaré sphere achieved using
  only the ¼- and ½-waveplate combination? 
  A4.) Yes, but only for certain well defined input SOPs. If the input SOP is
  arbitrary, and a transformation to any other SOP is desired, then a third
  waveplate is required (i.e., another ¼-waveplate). Since three identical
  ¼-waveplates is also an acceptable solution, all controllers have the option
  of being configured as either ¼:¼:¼ or ¼:½:¼ waveplates.  
  Q5.) Each of the controller's waveplates are described as
  'approximate' ¼- and ½-waveplates. Textbook proofs are show with exact ¼- and
  ½ waveplates. How do these non-exact waveplates affect the coverage of the
  Poincaré sphere? 
  A5.) Since the trigonometric relationships describing the cascade of
  waveplates greatly simplify when the plates are ideally ¼- and ½-wave,
  elegant proofs can be obtained. However, for a set of three identical
  waveplates, it can be shown that complete coverage of the Poincaré sphere is
  obtained, for any arbitrary input SOP, provided the plates reside within the
  following range: 0.171l < -waveplate < 0.342l, mod l/2. Since the
  mathematics for non-exact ¼- and ½-waveplates is quite protracted, the
  proof's pedagogical intent would be obscured. 
  Q6.) Is there a significant difference between these
  waveplate configurations? In other words, why chose one configuration over
  another? 
  A6.) In some cases, it may simply be a matter of personal preference. In
  others, such as in maximizing SOP resolution, the ¼:¼:¼-wave configuration
  would be preferred. For the case of maximizing uniform SOP coverage around
  the Poincaré sphere in the shortest period of time (e.g., using the MPC-1's
  scramble mode), the ¼:½:¼-waveplates would be favored. 
  Q7.) What is the resolution on the surface of the Poincaré
  sphere? 
  A7.) Because of the inherent factor-of-two relationship between the rotation of
  an electric-field vector and the rotation of a waveplate, the necessity for
  fine waveplate rotational resolution is paramount to access regions of
  Stokes' space. See A9, for a more detailed comparison with a competitor's
  controller. 
  Q8.) What extinction-ratio can be achieved with the MPC-1? 
  A8.) Customers have reported extinction-ratios in excess of 70 dB for the
  polarized portion of the signal. 
  Q9.) How does FiberControl's 2-channel MPC-1, having a
  total of 6 independently controllable quarter-waveplates with a resolution of
  0.15 deg each, compare to Agilent's 11896 (4Q-waveplates design with 0.18 deg
  each)? 
  A9.) In comparing the angular resolution of a polarization controller based
  on rotating waveplates or their analogs, there are two important issues that
  must be considered: (1) worst-case behavior vs. average-case behavior, and
  (2) the likelihood of occurrence of near-worst-case behavior. 
  If Agilent is claiming 0.03 degrees resolution for their unit, based on
  4Q-waveplates with 0.18 degrees/step mechanical resolution, then that claim
  cannot be related to worst-case performance. Worst-case performance must be
  about 8 times worse than that, by some simple geometric reasoning. Worst-case
  optical resolution is always somewhat greater than the minimal mechanical
  resolution. Since the inherent mechanical resolution of the Agilent is 20%
  worse than the FiberControl MPC-1, its worst-case resolution must also be 20%
  worse. The precise effective resolution for either unit depends on the input
  SOP as can be seen by the non-uniform transversal in Stokes' 3-space around
  the figure-eight or tear shape. 
  Secondly, the likelihood of having near-worst-case behavior is inversely
  proportional to the number of Q-waveplates in use for adjustment. For
  Agilent's 4Q-waveplates, the probability of hitting one of these pathological
  regions in control space is quite low. But with the MPC-1 2 channel's six
  quarter-wave plates in play, the chances of being near worst-case control
  regions simultaneously is reduced by 100x and there is more than enough
  control redundancy to move away from such a region without changing the
  output SOP. 
  The poorer results observed so far with the first demo MPC-1 were due to
  two factors: 
  a. each single channel of the MPC-1 2 channel, operating without GPIB, had
  only three waveplates compared to the Agilent's unit. 
  b. the demo MPC-1 was supplied with the default Q-H-Q configuration rather
  than Q-Q-Q and had only two quarter-waveplates in play, rather than three.
  Thus, it was two orders of magnitude more likely to be operating near a
  pathological control region than was the Agilent device. 
  In summary, while a single-channel Q-Q-Q MPC-1 unit will be comparable to
  the Agilent Q-Q-Q-Q unit in average resolution, given the MPC-1's inherently
  finer mechanical precision, it will encounter pathological control regions
  more frequently, due to the lack of a fourth waveplate. Therefore, to exceed
  every performance metric of the Agilent unit in static adjustment
  applications, FiberControl recommends a dual-channel MPC-1, with each of the
  two channels configured as Q-Q-Q. 
   
  As a side note, the Q-H-Q configuration is preferred for dynamic tracking or
  generation of polarization states, while a Q-Q-Q configuration gives
  uniformly finer control when performing static adjustments over small regions
  of Stokes' 3-space. 
    
   
  · Polarization Scramblers: 
   
  Q1.) What are the primary differences between the PS-700 and
  the RCPS-600/B? 
  A1.) The PS-700 is an industrial grade optical polarization scrambler and is
  suitable for the lab and manufacturing environment -- all that need be done
  for optical scrambling is: plug it in, turn it on, and connect the optical
  signals. On the other hand, the RCPS-600/B is an inexpensive grade where time
  and ease of operation is not critical since it requires the simultaneous
  control and adjustment of an r.f.-signal drive level/frequency and the input
  SOP. 
  Q2.) Do either of these scramblers have GPIB control? 
  A2.) Yes, the PS-700 has an IEEE 488.2 GPIB. Its default mode is with
  scrambling on. By utilizing FiberControl's LabView drivers, simple GPIB
  commands can disengage the polarization scrambling. The RCPS-600/B can be
  controlled via GPIB only if the function generator has a GPIB (i.e.,
  HP-33120). 
  Q3.) What version of LabView are the drivers? 
  A3.) FiberControl's supplied drivers are built in LabView version 6.0i and
  7.0. 
  Q4.) I have two wavelengths one at 1300nm and the other at
  1550nm. Can I use one PS-700 scrambler? 
  A4.) Yes. Both wavelengths can be scrambled when the PS-700 is configured for
  the telecom wavelength. In fact, it's possible to scramble both wavelengths
  simultaneously. 
  Q5.) Can the PS-700 be used at 980nm? 
  A5.) Yes, provided the PS-700 was manufactured with fiber of this wavelength
  range. As above, multiple wavelengths can also be scrambled simultaneously. 
  Q6.) Can the PS-700 be used to perform PDL measurements? 
  A6.) Yes. Its inherent ultra-low insertion-loss (< 1.5dB) and PDL (<
  0.002dB) are extremely attractive for this application. 
  Q7.) Do you have any reliability data on your fiber coils
  wound on the PZT cylinder? Or more specifically, if your have FIT data from
  your polarization scrambler that is related to the fiber coil/PZT assembly
  based on the units in the field. 
  A7.) While FiberControl maintains no official FIT data, we have sold hundreds
  of PS-700 scramblers since September 2000 and have had only one unit with any
  reported fiber breaks. 
  Q8.) What is the PMD and PDL for the PS-700? 
  A8.) When the PS-700 is off, the PMD of the unit is extremely low…approaching
  that of a 100-meter length of fiber by itself. When the unit is on and
  scrambling, the PMD is high. The PDL (< 0.002dB) is the same when on or
  off. 
  Q9.) What is meant by the AM Modulation specification which
  says < 3 percent? 
  A9.) The 3% residual AM modulation refers to change in optical intensity in
  the 500kHz to 700kHz range. 
  Q10.) What is the DOP dependence on wavelength for a given
  configuration of the scrambler? 
  A10.) Low DOPs can be obtained over the wavelength range of the scrambler --
  from 1310 nm to 1600 nm. 
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