3 of 3 added 786 characters in body

how to create another physical volume/partition with existing unused lvm space without data loss?

I have a 1T USB disk with Fedora 20 installed. It shows as sdd in the first image below. I only used about 50GB. There are 3 logic volumes under the sdd2 and also there are about 620GB of free space after I shrunk its home logical partition, as shown in the second image.

I am thinking create a physical volume/partition, sdd3, by using that 620GB free space. I hope other logical volumes will not be damaged and data will stay unchanged. how can I do that?

I have created a disk image with clonezilla. So I am not worry about data loss during the process.

The purpose of doing this is I want to move the installation on my 1T disk with settings over to my another 500GB USB disk. I have tried many ways, clonezilla, dd logical partition(s), true image, gparted, .... no one can help me or gives me a good result due to the lvm and smaller destination. I hope I can dd physical partition after the new physical partition takes over some space.

sdd is the 1T USB disk

green color is the free space

EDIT:

My have to restart my ubuntu live CD session. now the target disk is sdb . I got error when I try to resize the sdb2:

ubuntu@ubuntu:~$ sudo su
root@ubuntu:/home/ubuntu# pvdisplay /dev/sdb2
  --- Physical volume ---
  PV Name               /dev/sdb2
  VG Name               fedora_lym
  PV Size               930.99 GiB / not usable 4.00 MiB
  Allocatable           yes 
  PE Size               4.00 MiB
  Total PE              238333
  Free PE               160569
  Allocated PE          77764
  PV UUID               Ytsy31-op7u-DqLM-lJG7-uIFb-2hAG-eZhn0a

root@ubuntu:/home/ubuntu# pvresize --setphysicalvolumesize 320G /dev/sdb2
  /dev/sdb2: cannot resize to 81919 extents as later ones are allocated.
  0 physical volume(s) resized / 1 physical volume(s) not resized
root@ubuntu:/home/ubuntu# 

EDIT2:

Done, sdb3 is here now:

root@ubuntu:/home/ubuntu# lsblk
NAME                  MAJ:MIN RM   SIZE RO TYPE MOUNTPOINT
sda                     8:0    0 223.6G  0 disk 
├─sda1                  8:1    0   100M  0 part 
└─sda2                  8:2    0 223.5G  0 part 
sdb                     8:16   0 931.5G  0 disk 
├─sdb1                  8:17   0   500M  0 part 
├─sdb2                  8:18   0 312.5G  0 part 
│ ├─fedora_lym-swap 252:0    0   3.8G  0 lvm  
│ ├─fedora_lym-home 252:1    0   250G  0 lvm  
│ └─fedora_lym-root 252:2    0    50G  0 lvm  
└─sdb3                  8:19   0 618.5G  0 part 
sr0                    11:0    1   4.4G  0 rom  /cdrom
loop0                   7:0    0   1.1G  1 loop /rofs
root@ubuntu:/home/ubuntu#